**Answer:51**

**Step-by-step explanation:**

7*7=49，10*10=100 100-49=51

which value of w makes the equation true

2w+4=28

**Answer:**

12

**Step-by-step explanation:**

2w + 4 = 28

2w = 24

w = 12

**w = 12**.

[tex]2w+4=28[/tex]

2. Subtract 4 from both sides of the equation.[tex]2w+4-4=28-4\\ \\2w=24[/tex]

3.[tex]\frac{2w}{2} =\frac{24}{2} \\ \\w=12[/tex]

4. Verify your answer.To verify the answer, write the original expresion and substitute variable "w" by the calculated value (12). If the calculations equal the same number of both sides of the equal sign (=) then the answer is correct.

[tex]2(12)+4=28\\ \\24+4=28\\ \\28=28[/tex]

The same number appears on both sides of the equal sign. Hence, **the answer is correct!**

**------------------------------------------------------------------------------------------------------- **

**Learn more about solving equations here: **

**brainly.com/question/28282032 **

**brainly.com/question/28306861 **

**brainly.com/question/28285756 **

**brainly.com/question/28306307 **

**brainly.com/question/30015231 **

**brainly.com/question/29888440 **

Nick has $20. He wants to buy as

many toy cars as he can. Each car

costs $3. How many toy cars can

Nick buy?

**Answer:**

**6**

**Step-by-step explanation:**

**20 divided by 3 without any remainders, fractions, or decimals is 6.**

Hope I helped!

Find the domain and the range of the function. (Enter your answers using interval notation.)

h(x) = −√x+6

The domain and the **range** of this function in **interval notation** include the following;

Domain = [-6, ∞].

Range = [-∞, 0].

How to identify the domain and range of a function?In Mathematics, the horizontal extent of a **graph** represents all **domain** values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

Furthermore, the vertical extent of a **graph** represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the **graph** to the top.

By critically observing the **graph** shown in the image attached below, we can reasonably and logically deduce the following:

Domain = -6 < x < ∞ or [-6, ∞].

Range = -∞ < y < 0 or [-∞, 0].

Read more on **domain** here: brainly.com/question/17003159

#SPJ1

Use what you know about scientific notation to write the number - 8,000 with a power of 10.

- 8,000

- 8,000 = 0

Therefore , the solution to the given problem of** expression** comes out to be -8 * 10³.

A number must be substituted for each variable and **arithmetic **operations must be carried out in order to verify an algebraic expression. The response variable is equivalent to 6 in the illustration above because 6 + 6 equals 12. The **variables **can be replaced with their values if we know what they are, and the expression can then be evaluated.

Here,

Given : - 8,000

To write -8000 with a power of 10

Thus,

-8000 written into

=> -8 * 10³

So, we get -8 * 10³ as the scientific notation for the given expression

Therefore , the solution to the given problem of expression comes out to be -8 * 10³.

To know more about** expressions **visit :-

brainly.com/question/14083225

#SPJ1

HELPPPP

If a fair coin is tossed 9 times, what is the probability, rounded to the nearest

thousandth,

of getting at most 1 heads?

When a fair coin is tossed** nine times**, there is a 0.090 (rounded off to the nearest thousandth) chance that at most one will land on heads.

The probability that an **event** will occur or a claim will be true is measured by probability theory, a branch of mathematics. The probability of an occurrence is a number between 0 and 1, where about 0 represents how likely the event is to occur and 1 represents certainty. A probability is a numerical **illustration** of the possibility that a specific occurrence will take place. Probabilities can also be expressed as percentages ranging from 0% to 100% or from 0 to 1. the ratio of the total number of outcomes to the proportion of occurrences in a whole set of equally likely options that lead to a specific occurrence.

given

binomial probability ⁿCₓ[(p)ˣ(q)ⁿ⁻ˣ]

where p= probability of tail = 1/2 (favorable outcome)

q = probability of head = 1/2: (1 - p)

n = total outcome = 9

x = 4

ⁿCₓ[(p)ⁿ(q)ⁿ⁻ˣ] = ⁹C₄[(1/2)⁴(1/2)⁵]

= [1/16 x 1/32]

= (512)

126/512 = 0.24609

≈ 0.090 nearest thousandth rounded off .

When a fair coin is tossed nine times, there is a 0.090 (rounded off to the nearest thousandth) chance that at most one will land on heads.

To know more about **probability** visit:

https://brainly.com/question/11234923

#SPJ1

Which table has a constant of proportionality between yyy and xxx of 0.90.90, point, 9? Choose 1 answer: Choose 1 answer: (Choice A) A xxx yyy 101010 999 181818 171717 292929 282828 (Choice B) B xxx yyy 444 3.63.63, point, 6 666 5.45.45, point, 4 121212 10.810.810, point, 8 (Choice C) C xxx yyy 333 3.33.33, point, 3 999 9.99.99, point, 9 111111 12.112.112, point, 1Which table has a constant of proportionality between yyy and xxx of 0.90.90, point, 9? Choose 1 answer: Choose 1 answer: (Choice A) A xxx yyy 101010 999 181818 171717 292929 282828 (Choice B) B xxx yyy 444 3.63.63, point, 6 666 5.45.45, point, 4 121212 10.810.810, point, 8 (Choice C) C xxx yyy 333 3.33.33, point, 3 999 9.99.99, point, 9 111111 12.112.112, point, 1Which table has a constant of proportionality between yyy and xxx of 0.90.90, point, 9? Choose 1 answer: Choose 1 answer: (Choice A) A xxx yyy 101010 999 181818 171717 292929 282828 (Choice B) B xxx yyy 444 3.63.63, point, 6 666 5.45.45, point, 4 121212 10.810.810, point, 8 (Choice C) C xxx yyy 333 3.33.33, point, 3 999 9.99.99, point, 9 111111 12.112.112, point, 1

A **table** which has a **constant** of proportionality between y and x of 0.9 include the following: B. **table** B.

In order to have a proportional relationship and equivalent ratios that is constant, the **variables** x and y must have the same constant of **proportionality**.

Next, we would determine the constant of **proportionality** (k) based on the given parameters in each table:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 17/18

Constant of **proportionality** (k) = 0.94 (False).

For the **variables** x and y in table B, the constant of **proportionality** (k) is given by;

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 3.6/4 = 5.4/6 = 10.8/12

Constant of **proportionality** (k) = 0.9 (True).

For the **variables** x and y in table C, the constant of **proportionality** (k) is given by;

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 3.3/3

Constant of **proportionality** (k) = 1.1 (False).

Read more on **proportionality **here: https://brainly.com/question/16576415

#SPJ1

find the exact value of cos -pi/3

The exact value of cos (-pi/3) can be found using the unit circle or the angle addition formula.

Using the unit circle, we know that the x-coordinate of the point on the unit circle that corresponds to an angle of -pi/3 is cos(-pi/3) and y-coordinate is sin(-pi/3).

On the unit circle, the angle of -pi/3 is the same as the angle of 2pi/3 (since the unit circle has a period of 2pi), therefore the x-coordinate of the point on the unit circle that corresponds to an angle of -pi/3 is -1/2.

Alternatively, using the angle addition formula:

cos (-pi/3) = cos(pi - pi/3) = cos(pi) * cos (pi/3) - sin(pi) * sin(pi/3) = -1/2

So, the exact value of cos (-pi/3) is -1/2.

how to solve 3(x-12)=15

**Answer:**

Below

**Step-by-step explanation:**

3 (x-12) = 15 divide both sides of the equation b y 3 to get :

x-12 = 5 now add 12 to both sides

x = 17 Done.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Solving for x or simplify this equation}[/tex]

[tex]\mathsf{3(x - 12) = 15}[/tex]

[tex]\huge\textbf{DISTRIBUTE 3 within PARENTHESES}[/tex]

[tex]\mathsf{3(x) + 3(-12) = 15}[/tex]

[tex]\mathsf{3x - 36 = 15}[/tex]

[tex]\huge\textbf{ADD 36 to BOTH SIDES}[/tex]

[tex]\mathsf{3x - 36 + 36 = 15 + 36}[/tex]

[tex]\huge\textbf{SIMPLIFY IT}[/tex]

[tex]\mathsf{3x = 15 + 36}[/tex]

[tex]\mathsf{3x = 51}[/tex]

[tex]\huge\textbf{DIVIDE 3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3x}{3} = \dfrac{51}{3}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT}[/tex]

[tex]\mathsf{x = \dfrac{51}{3}}[/tex]

[tex]\mathsf{x = 17}[/tex]

[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = 17}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

vector <1,2,x> has magnitude of 3. find the value of x if x is a negative number

**Answer:**

x = - 2

**Step-by-step explanation:**

the magnitude of a vector < a, b, c > is

[tex]\sqrt{a^2+b^2+c^2}[/tex]

given vector < 1, 2, x > has magnitude of 3 , then

[tex]\sqrt{1^2+2^2+x^2}[/tex] = 3

[tex]\sqrt{1+4+x^2}[/tex] = 3

[tex]\sqrt{5+x^2}[/tex] = 3 ( square both sides to clear the radical )

5 + x² = 3² = 9 ( subtract 5 from both sides )

x² = 4 ( take square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

since x is negative then x = - 2

I NEED HELP PLEASE I WILL GIVE BRAINLYIES

Answer: b

Step-by-step explanation:

If there are 10 decimeters in a meter, explain why there are not 10 cubic decimeters in a cubic meter.

Choose the correct answer below.

OA. There are not 10 cubic decimeters in a cubic meter because a cubic meter is a meter squared. This means

that there are 10² cubic decimeters in a cubic meter.

OB. There are not 10 cubic decimeters in a cubic meter because a cubic meter is a meter cubed. This means

that there are 10 cubic decimeters in a cubic meter.

OC. There are not 10 cubic decimeters in a cubic meter because a cubic meter is a meter squared. This means

1

that there are cubic decimeters in a cubic meter.

10²

OD. There are not 10 cubic decimeters in a cubic meter because a cubic meter is a meter cubed. This means

that there are

1

cubic decimeters in a cubic meter.

10

**Answer:**

B. There are not 10 cubic decimeters in a cubic meter because a cubic meter is a meter cubed. This means that there are 10³ cubic decimeters in a cubic meter.

**Step-by-step explanation:**

When we **cube **a number, we **multiply **the number by itself twice.

Therefore a **cubic meter **is:

To calculate the number of **cubic decimeters** in a **cubic meter**, we need to **cube **the number of **decimeters in a meter**.

Given there are **10 decimeters** in a meter, then there are **10³ cubic decimeters** in a **cubic meter**:

Write an equivalent expression by distributing the "sign outside the parentheses:

4w (5.8x - 3.3)

**Answer:**

23.2wx - 13.2w

**Step-by-step explanation:**

4w (5.8x - 3.3) =

4w * 5.8x - 4w * 3.3 = distribute 4w to 5.8x and 3.3

4 * 5.8 *w * x - 4w * 3.3 =

23.2 * w * x - 13.2w ==> simplify

**23.2wx - 13.2w**

A data set consisting of newborn baby weights is normally distributed (bell-shaped) with a mean of 9.5 pounds

and standard deviation of 1.5 pounds.

Use the Empirical Rule to address the following questions.

Hint: sketch the distribution to help visualize the problem.

Approximately 99.7% of the newborn weights lie between

What approximate percentage of the newborn weights lie between 8 and 11 pounds?

and

What approximate percentage of the newborn weights lie between 6.5 and 12.5 pounds?

These approximate **percentages **are defined by the Empirical Rule, for a normally distributed variable:

More can be learned about the **Empirical Rule **at brainly.com/question/10093236

#SPJ1

pls help with a easy problem miles and kilometers ansewer

**Answer:**

**Step-by-step explanation:**

Since 5 miles is approximately 8 kilometers, and Sawyer lives 12.7 kilometers from the soccer field, Sawyer lives farther than Jabar from the soccer field.

So Sawyer lives about 4.7 kilometers farther from the soccer fields.

the table and the scatter plot the total earning y(in dollars) of a food server who works x hours

Answer is B

y=16.9x+0.7

To Calculate line of best fit you can simply input the values into the stats function on your calculator and using the "Reg" function to get your values of the standard equation form of your line of best fit which is y=bx+a

b=16.9

a=0.7

the dot plot below shows the sizes for five classes with a mean of 44 and standard deviation of 8. the dynamic equation shows the mathematical conversion to z-scores in real-time. drag the vertical line to see the corresponding z-score for each possible class size.

The **Z-Score** associated on moving one standard devations to the right is equals to the 1.0, i.e., Z = 1.00. So, correct answer is option (c).

We have, The number of classes, n = 5

**Mean** of size of five classes,µ = 44

Standard deviations for five classes,σ = 8

The **dynamic equation** for conversion to z-scores in real-time is, Z = (Xᵢ - µ )/standard deviations (s)

Z-Score : A Z-Score is a metric that represents that how closely a value relates to mean of set of values. If Z score value is zero that means data point's scores are same as mean score.

Formula for Z- Score is Z = (X - µ)/σ

where, X ---> data values

µ --> mean of values

σ --> **standard ****deviation**

For 32, Z = (X - µ)/σ = (32 - 44)/8 = -1.50

For 42 , Z= (X- µ)/σ = (42 - 44)/8 = -0.25

For 48, Z = ( 48 - 44)/8 = 0.5

For 52, Z = ( 52 - 44)/8 = 1.0

For 54, Z = (54 - 44)/8 = 1.25

When we move One standard deviations to **right** , that means X = 44 + 8 = 52 , So the Z-Score for 52 is Z = 1.0. Hence, required value is 1.0.

To learn more about **Z-Score,**** **refer:

https://brainly.com/question/25638875

#SPJ4

**Complete ****question****:**

The dot plot below shows the sizes for five classes with a mean of 44 and standard deviation of 8. The dynamic equation shows the mathematical conversion to z-scores in real-time. Drag the vertical line to see the corresponding z-score for each possible class size,

Z =( Xᵢ - X)/s Created by Gary M. McClelland, Professor Emeritus | University of Colorado Boulder Cengage Learning. All Rights Reserved. 1. Make sure the green line is on the mean value of x= 44. Next, move the green line one standard deviation to the right. What Z-score is associated with this value?

a. ) Z-0.75

b) Z= 0.80

c) Z = 1.00

d) Z = 0.5

what is the inverse f(x)=3x^3-4

**Answer:**

f^-1(x) = [tex]\sqrt[3]{(x + 4)/3}[/tex]

**Step-by-step explanation:**

y = 3x^3 - 4 ==> solve for x

y + 4 = 3x^3 ==> isolate x by adding 4 on both sides

(y + 4)/3 = x^3 ==> divide 3 into both sides

x = [tex]\sqrt[3]{(y + 4)/3}[/tex] ==> isolate x by taking the cube root on both sides

y = [tex]\sqrt[3]{(x + 4)/3}[/tex] ==> switch both x and y

**f^-1(x) = **[tex]\sqrt[3]{(x + 4)/3}[/tex]** **

This table shows the amount of commission

earned for a broker receiving 3% commission

on sales. How much would this agent earn in

commission for $680,000 in sales?

Commission Earned

Sales (in thousands of $)

Commission (in thousands of $)

140

4.2

280

8.4

420

12.6

560 680

16.8

?

**Answer:**

$20,400

**Step-by-step explanation:**

You just have to multiply 680,000 by 0.03 (since 3% is equivalent to 0.03)

There are 18 streetlights evenly spaced on a 1.5-mile road. How many streetlights would you expect on a 4-mile road in which are spaced out the same?

If the streetlights are **spaced **in the **same way**, there will be 48 streetlights on the 4-mile road.

First, we know that there are 18 streetlights** evenly spaced** on a 1.5 mile road.

Then the **space **between consecutive streetlights is:

1.5mi/18 = (3/36) mi = (1/12) mi

Now, the number of streetlights that we will have on a 4-mile road is given by the **quotient **between the length of the road and the distance between consecutive streetlights, it is:

N = 4mi/(1/12 mi) = 12*4 = 48

There will be 48 streetlights on a 4 mile road.

Learn more about **quotients **at:

https://brainly.com/question/629998

#SPJ1

A person invests 1000 dollars in a bank. The bank pays 5.75% interest compounded

monthly. To the nearest tenth of a year, how long must the person leave the money

in the bank until it reaches 2900 dollars?

The person must leave the **money **for 18.6 .

[tex]A= P (1 +\frac{r}{n} )^{nt}[/tex]

Here ,A =Amount = 2900

P = Principal = 1000

r = ratio = 5.75%

2900 = 1000[tex](1 +\frac{5.75}{12} )^{12x[/tex]

Converting decimals to integers,2900 = 1000 [tex](1 +\frac{575}{120000} )^{12x[/tex]

Reducing the2900 = 1000[tex](1 +\frac{23}{4800} )^{12x\\\\[/tex]

2900 = 1000[tex](1 +\frac{4823}{4800} )^{12x\\\\[/tex]

Dividing both sides of the equation by the coefficient of variable,2900/1000 = 1000[tex](\frac{4823}{4800} )^{12x\\\\[/tex]

29/ 10 = [tex](\frac{4823}{4800} )^{12x\\\\[/tex]

Converting exponential to logarithm form,12x = [tex]log _{\frac{4823}{4800} }\frac{29}{10}[/tex]

[tex]x = \frac{log _{\frac{4823}{4800} }\frac{29}{10}}{12}[/tex]

Rounding to the required place , x = 18.6What are fractions?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.The numerator of a proper fraction is less than the denominator.A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated. A number that represents a rational number is called a common fraction. A decimal, percent, or negative exponent can all be used to represent the same number.To learn more about** fractions**, refer :

**https://brainly.com/question/78672**

#SPJ1

Point U is the midpoint of Find the value of x. Round to the nearest tenth if necessary.

**Answer:**

[tex]x=8.5[/tex]

**Step-by-step explanation:**

By the definition of a midpoint, [tex]TU=UV[/tex].

[tex]6=2x-11 \\ \\ 2x=17 \\ \\ x=8.5[/tex]

please help me!!! What is the area of the trapezoid?

The area of **trapezoid** is **16 m²**.

**Given** in the figure,

**Height** of trapezoid = 4 m

**Length** of 1st parallel base = 2 m

Length of 2nd **parallel** base = 6 m

We know that,

Area of trapezoid =** 1/2 * sum of bases * height**

∴

Area of trapezoid = 1/2 * (2+6) * 4

= 8 * 2 = **16 m²**

Therefore, the **area** of trapezoid is 16 m².

Learn more about **trapezium** at

https://brainly.com/question/30042904

What are the solutions of x² - 5x+7=0?

**Answer:**

x = 5/2 + (i sqrt(3))/2 or x = 5/2 - (i sqrt(3))/2

**Step-by-step explanation:**

Solve for x:

x^2 - 5 x + 7 = 0

Subtract 7 from both sides:

x^2 - 5 x = -7

Add 25/4 to both sides:

x^2 - 5 x + 25/4 = -3/4

Write the left hand side as a square:

(x - 5/2)^2 = -3/4

Take the square root of both sides:

x - 5/2 = (i sqrt(3))/2 or x - 5/2 = -(i sqrt(3))/2

Add 5/2 to both sides:

x = 5/2 + (i sqrt(3))/2 or x - 5/2 = -(i sqrt(3))/2

Add 5/2 to both sides:

Answer: x = 5/2 + (i sqrt(3))/2 or x = 5/2 - (i sqrt(3))/2

Let G(x) = -2(3x+4)(x-1)(x-3)^2 be a polynomial function. make a rough sketch of polynomial, label, and name all the x-intercepts and y-intercepts

The **intercepts **of the **graph **are

The polynomial is given as

G(x) = -2(3x+4)(x-1)(x-3)^2

Rewrite as

G(x) = -2(3x+4)(x-1)(x-3)²

The x-intercepts of a **polynomial **are the points at which the polynomial crosses the x-axis.

To find the **x-intercepts**, we need to set y = 0 and solve for x.

-2(3x+4)(x-1)(x-3)² = 0

Divide through by -1

(3x+4)(x-1)(x-3)² = 0

Now we can solve for each factor equal to zero:

3x+4 = 0, x = -1.33

x-1 = 0, x = 1

x-3 = 0, x = 3

So the **x-intercepts **are -4/3, 1, 3

The **y-intercept **of a polynomial is the point at which the polynomial crosses the y-axis.

For this polynomial, we have

G(0) = -2(30+4)(0-1)(0-3)² = -2(4)(-1)(9) = 72

So the **y-intercept **is (0, 72)

See attachment for the **graph**

Read more about **polynomial **at

https://brainly.com/question/7693326

#SPJ1

Calculate S3, S, and Ss and then find the sum for the telescoping series 3C0 n + 1 n+2 where Sk is the partial sum using the first k values of n. S3 = 1/6 S4 = __

S5 = __

S = __

The **solutions **are -

**S3 **= (1/3) - (1/4) + (1/4) - (1/5) + (1/5) - (1/6)

**S4** = (1/3) - (1/4) + (1/4) - (1/5) + (1/5) - (1/6) + (1/6) - (1/7)

**S5** = (1/3) - (1/4) + (1/4) - (1/5) + (1/5) - (1/6) + (1/6) - (1/7) + (1/7) - (1/8)

The sum of the **series **is 1/3.

To find **S3**, we need to find the **sum **of the first 3 terms of the series:

S3 = (1/3) - (1/4) + (1/4) - (1/5) + (1/5) - (1/6)

To find **S4**, we need to find the sum of the first 4 **terms **of the series:

S4 = (1/3) - (1/4) + (1/4) - (1/5) + (1/5) - (1/6) + (1/6) - (1/7)

To find **S5,** we need to find the sum of the first 5 terms of the **series**:

S5 = (1/3) - (1/4) + (1/4) - (1/5) + (1/5) - (1/6) + (1/6) - (1/7) + (1/7) - (1/8)

To find the sum of the telescoping series, we can use the **property** of the **telescoping series **where the terms will cancel out. In this case, we can see that the first term of each group of two terms **cancels **out with the second term of the next group of two terms.

S = (1/3) - (1/8)

The series starts at n=2 and ends at **infinity**, so the sum of the series is the **difference **between 1/3 and the **limit **of 1/n as n approaches infinity, which is zero.

S= (1/3) -0 = 1/3

So the **sum **of the series is **1/3**.

Read more about the **telescoping series**:

brainly.com/question/14523424

**#SPJ4**

The complete question is -

Calculate S3, S4, and S5 and then find the sum for the telescoping series: S=∑n=2∞(1/n+1)−(1/n+2). where Sk is the partial sum using the first k values of n.

What is the value of Y enter your answer in the box￼

**Answer: y = 40**

**Step-by-step explanation:**

we know 5x=40 so the 2 bottom angles combined are 80

so you have 2y+20=100

2y=80

y=40

Help would be appreciated

The value of [tex]3\frac{3}{5}[/tex] ×[tex](-8\frac{1}{3})[/tex] is after **simplification **is C)-30

**What is mixed fraction?**

A **mixed number **combines an **integer **(whole number) with a **fraction**. It is also sometimes referred to as a **mixed fraction **(part of a whole number). When a number contains both an integer (whole number) and a correct **fraction**, it is known as a **mixed number **or **mixed fraction **(a fraction whose numerator is less than its denominator).

Here the given expression is ,

=> [tex]3\frac{3}{5}[/tex] ×[tex](-8\frac{1}{3})[/tex]

Now we need to convert them into **improper fraction **then,

=> [tex]\frac{15+3}{5}[/tex] × [tex]\frac{-(24+1)}{3}[/tex]

=> [tex]\frac{18}{5}[/tex] × [tex]\frac{-25}{3}[/tex]

=> 6 × -5 = -30

Hence the correct option is C)-30.

To learn more about **mixed fraction **refer the below link

https://brainly.com/question/745462

#SPJ1

Did I get this right? (pre calc)

The center of the ellipse is (2, -8), The endpoints of the major axis are 10 units from the center, The endpoints of the **minor axis** are 9 units from the center, To graph the ellipse, connects (2, 2), (11, -8), (2, -18) and (-7, -8) with smooth curve.

An **ellipse **in mathematics is a plane curve that has two focal points and is such that the sum of the two distances from any point on the curve to the focal points is a **constant**. It generalizes a circle, a special kind of ellipse in which the two focal points coincide.

Glven:

The equation of ellipse is,

[tex]\frac{(x-2)^2}{81}+\frac{(x+8)^2}{100}=1[/tex]

SInce, the general form of ellipse is,

[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

where,

(h, k) is the center of ellipse

a is the minor axis

b is the major axis.

Here

(h, k) = (2, -8) is the center of the ellipse.

9 is the minor axis and 10 is the major axis of the ellipse.

Also the graph of ellipse connects (2, 2), (11, -8), (2, -18) and (-7, -8) with smooth curve.

Hence, the center of the ellipse is (2, -8).

The endpoints of the major axis are 10 units from the center.

The endpoints of the minor axis are 9 units from the center.

To graph the ellipse, connects (2, 2), (11, -8), (2, -18) and (-7, -8) with smooth curve.

The **graph **of the ellipse visit.

To know more about **ellipse **visit:

brainly.com/question/9702250

#SPJ1

An IV is infusing at 77 mcgtt/min. What would this rate of flow equal in mL/h?

A. 77 mL/h

B. 12 mL/h

C. 770 mL/h

D. 7.7 mL/h

An IV is **infusing **at 77mcgtt/min. rate of flow equal in mL/h is 77 mL/h

1gtt/min equals 3.00 mL/h

If you simply need to figure out the infusion rate, or the mL per hour to infuse, take the total **volume **in mL, divided by the total time in hours that the medication is ordered to be infused over, to equal the rate in mL per hour.

1 drop per minute to milliliters per hour = 3.00 mL/h

2 drops per minute to milliliters per hour = 6.00 mL/h

Change hours to minutes. Change milliliters to drops.

1 ml : 60mcgtt

1hr :60min

77mcgtt/min =77*60/60 ml/h

=77ml/h

To know more about **rate **of **flow **visit brainly.com/question/27880305

#SPJ4

The difference between eleven and the number d

The difference between 11 and the number d is the numerical value of d.

capital is to investment as a. hard is to soft. b. a flow is to a stock. c. a stock is to a flow. d. paper is to metal.
Today "N-de Descending Staircase" is considered a masterpiece. Has that always been the case? What did Duchamp bring to Cubism that had not previously been seen?
Consider the following code segment:primes = {2, 3, 5, 7}odds = {1, 3, 5, 7}x = primes.issubset(odds)What value will be stored in x after it has executed?01truefalse
The standard reduction potentials for the Ag+|Ag(s) and Zn2+| Zn(s) half-cell reactions are 0.799 V and - 0.762 V, respectively. Please calculate the potential for the following electrochemical cell: Zn(s)|Zn2+(0.250 M)||Ag+(0.100 M)|Ag(s).
During stress or trauma a person can start to hyperventilate. the person may then be instructed to breathe into a paper bag to avoid fainting.a. Trueb. False
Harper recorded the heights of plants, in inches, as shown in the table. nd the mean of the data.11 12 13 14 15 16 17 18 19 20 21Heights of Plants (in.)
Suppose a static charge of 0.22 C moves from your finger to a metal doorknob in 0.95 ms. What is the current, in amperes?p
TRUE/FALSE. When the lessee guarantees an estimated residual value of $75,000, the amount the lessee records as a right-of-use asset and as a lease liability is increased by $75,000.
Using the CAPM, calculate the Expected Return for the Nittany Company: Alpha = 2.5%; Beta = 0.8 T-Bill Rate = 5%; S&P 500 average return rate = 8%; WACC = 7%.A. 7.4% B. 8.1% C. 6.3% D. 8.5% E. 9.4%
what was the difference between the teachings on salvation of the roman catholic church and those of martin luther?
a $1,000 face value bond with a quoted price of 98 is selling for group of answer choices $1,000. $980. $908. $98.
determine the maximum ram force p that can be applied to the clamp at d if the allowable normal stress for the material is allow = 180 mpa .
Which of the following would you contract when blowing out a birthday candle? (Select all that apply) -Diaphragm -Rectus abdominals -Serratus anterior -External intercostals -Internal intercostals
After teaching the parents of a 15-month-old child who has undergone cleft palate repair how to use elbow restraints, which of the following statements by the parents indicates effective teaching?1. We'll keep the restraints in place continuously until the doctor says it's okay to remove them.2. We can take off the restraints while our child is playing but we'll make sure to put them back on at night.3. The restraints should be taped directly to our child's arms so that they will stay in one place.4. We'll remove the restraints temporarily at least three times a day to check his skin then put them right back on.
lessee company enters into a lease on january 1, 2024, that is accounted for as a finance lease. the lease calls for quarterly payments of $15,000, beginning on january 1, 2024, and continuing for 5 years. the last payment is due on october 1, 2028. the lease has an implicit annual interest rate of 8%. the present value of an annuity due at 8% per period for 5 periods is 4.312; the present value of an annuity due at 2% per period for 20 periods is 16.678. what amount will lessee report as a lease payable (not including accrued interest) in its balance sheet on december 31, 2024?
Mass of box is 1.5kg starts with an initial velocity of 3m/s in the direction opposite ot that of the force. It is again acted on by a force of 4N to the right and again ends at a point 3 meters to the right of where is started. What is the work done on the box ? I got this to be 12 Joules . 2) What is the final kinetic energy of the box ?
Find the exact length of the curve. x = 3 3t2, y = 4 2t3, 0 t 5
The best conclusion concerning delta is that the cellsA) contain no DNA.B) contain no RNA.C) contain only one chromosome that is very short.D) are actually in the G0 phase.E) divide in the G1 phase.
You are a NASCAR race car driver/pit crew member. You need to make sure that the tires on your car are running as efficiently as possible. What factors (in terms of Gas laws) do you need to take into consideration when trying to make sure your tires do not blow out? What gas law(s) applies to this situation?
Calculate the heat capacity of liquid water per molecule, in terms of k. Suppose (incorrectly) that all the thermal energy of water is stored in quadratic degrees of freedom. How many degrees of freedom would each molecule have to have?