HELP HURRY HURRY HURFY HURRY HURRY

Answer:

x = 21

Step-by-step explanation:

x + 15 - 15 = 21

+ 15 and - 15 cancel out

So x = 21

Let's solve the longer way

x + 15 - 15 = 21

x + 15 = 21 + 15 .      (adding 15 to both sides)

x = 21                       (Subtracting 15 from both sides)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The answer that goes into the blank is 21

Step-by-step explanation:

15-15 is 0, so 21+15= 36-15=21

Answer:

18

Step-by-step explanation:

2

2

+

3

9

=

−

1

8

2x^{2}+39=-18

2x2+39=−18

2

2

+

3

9

−

(

−

1

8

)

=

0

As long as the measures of the three angles of a triangle add up to less than 180 degrees, and none of the angles measures more than 90 degrees, the triangle will be acute.

An acute triangle is a triangle that has three acute angles, which are angles that measure less than 90 degrees. All three angles of an acute triangle must be acute, so they must measure less than 90 degrees. The measures of the three angles of an acute triangle can be any combination of angles that add up to less than 180 degrees.

Here are some examples of the measures of the three angles of an acute triangle:

45 degrees, 45 degrees, 90 degrees

30 degrees, 60 degrees, 90 degrees

35 degrees, 40 degrees, 105 degrees

60 degrees, 60 degrees, 60 degrees (this would be an acute equilateral triangle)

As long as the measures of the three angles of a triangle add up to less than 180 degrees, and none of the angles measures more than 90 degrees, the triangle will be acute.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

Answer:

0.25x^2-9

Step-by-step explanation:

Difference of squares converse:

0.25x^2-9

Answer:

0.25x^2-9

Step-by-step explanation:

multiply 0.5x with 0.5x which is 0.25x^2. then multiply 0.5x with 3 which is 1.5x. then multiply -3 with 0.5x which is -1.5x. then multiply -3 with 3 which is 9. so you will have 0.25x^2+1.5x-1.5x-9.

1.5x and -1.5x is 0. so you are left with 0.25x^2-9

Answer:

x=11.7

Step-by-step explanation:

When every you have a straight line with a transversal, the line going through the straight line, the two angles will add up to 180.

180=10x+2+5x+3 ---> combine like terms

180=15x+5 ---> subtract 5 to the other side

175=15x ---> divide 15 to the other side

x=11.7

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766). The margin of error is approximately 0.0140.

To construct a confidence interval for the proportion of Americans who drink tea daily, we can use the formula:

Where,

p = the sample proportion

Z = the critical value corresponding to the desired confidence level

n = the sample size

Given:

Now, let's calculate the confidence interval and margin of error:

According to the information, the 95% confidence interval for the proportion of Americans who drink tea daily is approximately (0.2485, 0.2766), with a margin of error of approximately 0.0140.

Learn more about confidence interval in: https://brainly.com/question/32278466
#SPJ4

The transformations that would prove that circles A and C are similar are:

The circles are given as:

Circle A and B

Assume the following parameters:

To start with;

The circle A must be reflected across the line y = x with the following transformation rule:

(x,y) -> (y,x)

So, we have:

(2,3) -> (3,2)

Next, the radius of A must be dilated by 3/2 as follows:

New Radius = 3/2 * 2 = 3

After the transformations, we have the following parameters:

Notice that both circles now have the same center and radius.

Hence, both circles are similar

Read more about similar circles at:

https://brainly.com/question/9177979

The parent function of the transformation is given as,

1) y = x + 5

The parent function is being translated horizontally to the left by 5 units.

2) y = 3/8 x

The parent function is horizontally stretched by a factor of 8/3.

3) y= -x-2

The parent function is reflected across the y-axis and then translated horizontally to the right by 2units.

4) y=6x+1

The parent function is shrinked horizontally by the factor of 1/6 and translated to the left by 1 unit.

5) y = x-11

The parent function is translated to the right by 11 units.

6) y=8x

The parent function is shrinked horizontally by the factor of 1/8.

7) y = -1/3x

The parent function is stretched horizontally by a factor of 3, then reflected across the y-axis.

The composition of the function and its inverse function is always one. Then the correct option is C.

Suppose that the given function will be

f: X → Y

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

 f⁻¹: Y → X

such that:

\(\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X\)

(and vice versa).

It simply means that the inverse of 'f' is a reverse operator, that takes back the effect of 'f'

Suppose that f and g are functions that are inverse of each other.

When f is composed of g or vice versa. Then the composition will be

We know that the composition of the function and its inverse function is always one. Then we get

When f is composed of g or vice versa. Then the composition will be 1.

Thus, the correct option is C.

Learn more about inverse function here:

https://brainly.com/question/19425567

#SPJ1

Answer: 37. 7in

12*3.14= 37.68

Rounded= 37.7 inches

Answer:

The product to this problem is simplified to:  \(1+14f+49f^{2}\)

Step-by-step explanation:

1) First place out what was given:

\((-1 -7f)^{2}\)

Squared is the same thing as multiply to itself, so you would create a pair of

\((-1 -7f)^{2}\)  

(For example, if you said: \(x^{2}\) it is the same as saying or putting: x · x)

2) Then create your pair which would look like:

\((-1 -7f)(-1 -7f)\)

3) Next step is to do the FOIL method

(Like how it is shown in the picture, we will do this method and create one whole expression!)

4) Creating and combining your expression into one whole problem, by using the foil method.

\((-1 -7f)(-1 -7f)\)

First - F: \(1\)

Outside - O: \(7f\)

Inside - I: \(7f\)

Last: \(49f^{2}\)

This will be:

\(1+14f+49f^{2}\)

And this will be your answer!

To match each inequality to the number line that represents its solution, you need to first understand the concept of inequalities. Inequalities are mathematical expressions that indicate a relationship between two values, where one is greater than or less than the other. Inequalities are commonly represented on a number line, which is a visual representation of all real numbers.

To solve this question, you need to carefully analyze each inequality and identify the range of values that satisfy the inequality. Then, you need to locate this range of values on the number line.

For example, the inequality x < 3 means that x can take any value less than 3. To represent this on the number line, you would draw an open circle at 3 (since 3 is not included in the solution) and shade all values to the left of 3.

Similarly, the inequality y ≥ -2 means that y can take any value greater than or equal to -2. To represent this on the number line, you would draw a closed circle at -2 (since -2 is included in the solution) and shade all values to the right of -2.

In summary, to match each inequality to the number line that represents its solution, you need to understand the concept of inequalities, carefully analyze each inequality, and locate the range of values that satisfy the inequality on the number line.

learn more about number line here: brainly.com/question/16191404

#SPJ11

Answer:

3600

Step-by-step explanation:

5 * 5 = 1

5 * 2 = 10

.

.

.

600 * 6 = 3600

The probability that the mean length of the sample rods differs from the population mean by less than 0.56 millimeters is approximately 0.8051.

To solve this problem, we need to calculate the probability that the mean length of the sample rods differs from the population mean by less than 0.56 millimeters.

Given:

Population mean (μ) = 164 millimeters

Variance (σ²) = 121

Sample size (n) = 287

Standard deviation of the sample mean (σₘ) = σ / √n

First, let's calculate the standard deviation of the sample mean:

σₘ = √(σ² / n)

   = √(121 / 287)

   = √(0.4216)

   = 0.6495 (rounded to four decimal places)

Next, we need to calculate the Z-score for the given difference of 0.56 millimeters:

Z = (difference from population mean) / σₘ

  = 0.56 / 0.6495

  = 0.8624

Using a standard normal distribution table or calculator, we can find the probability corresponding to this Z-score. The probability will be the area under the curve to the left of the Z-score.

Looking up the Z-score of 0.8624 in the standard normal distribution table, we find that the corresponding probability is approximately 0.8051.

Therefore, the probability that the mean length of the sample rods differs from the population mean by less than 0.56 millimeters is approximately 0.8051.

Learn more about probability here

https://brainly.com/question/31828911

#SPJ4

It can be said that the best Model for the data is for Variable A,

What is Scatter Plot?

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.

In the given two Scatter Plots of Variable A and Variable B

By carefully observing the Scatter Plots it can be said that the best Model for the data is for Variable A,

This is because the deviation of points from the main line representing data is less than that for Variable B

To learn more about Scatter Plot from the given link

https://brainly.com/question/6592115

#SPJ1

Answer: 720

Step-by-step explanation:

Given

A club has 10 members and needs one president, a vice president, and a secretary

There are 10 positions for president i.e. 10 ways to select a member for it

Similarly, there 9 persons left to choose a position for vice president

likewise 8 persons for secretary

Total no of ways to do it are

\(\Rightarrow 10\times 9\times 8\\\Rightarrow 720\ \text{ways}\)

Answer:

Step-by-step explanation:

Given that:

Initial psi yesterday = 40 psi

psi today = 38 psi

If trend continues and tire loses the same percentage of air. How much air will be left in tire at the end of the week

1 week ( 7days)

Total loss after 7 days = (amount lost per day * number of days)

Total psi lost per day= [(40 - 38) = 2

% psi lost = (2/40) * 100

= 5%

Applying the exponential loss functin:

A = I ( 1 - r)^t

t = 7days ; r = 5% = 0.05 ; A = amount left ; I = Initial amount

A = 40(1 - 0.05)^7

A = 40(0.95)^7

A = 40 * 0.69833729609375

A = 27.933

A = 27.9 psi

The value of the line integral ∫cf⋅dr is (-2 + y) * sqrt(3).

To evaluate the line integral ∫cf⋅dr using Stokes' theorem, we first need to find the curl of the vector field f. The curl of f is given by ∇ × f, where ∇ is the del operator.

Calculating the curl of f:

\(∇ × f = (∂/∂y)(xz) - (∂/∂z)(2y) + (∂/∂z)(xy) - (∂/∂x)(xy) + (∂/∂x)(2y) - (∂/∂y)(2y)\)

\(= x - 2 - x + 2y - y\\= -2 + y\).

Now, let's find the area of triangle C using the vertices given. The triangle with vertices (2,0,0), (0,2,0), and (0,0,2) forms an equilateral triangle in the xy-plane with side length 2.

The area of an equilateral triangle is given by\((sqrt(3)/4) * (side length)^2\), so the area of this triangle is \((sqrt(3)/4) * (2)^2 = sqrt(3)\).

Since we have the curl of f as -2 + y and the area of the triangle as sqrt(3), we can now evaluate the line integral using Stokes' theorem:

∫cf⋅dr = ∬S (∇ × f) ⋅ dS

= ∬S (-2 + y) ⋅ dS

= (-2 + y) ∬S dS

= (-2 + y) * sqrt(3).

Therefore, the value of the line integral ∫cf⋅dr is (-2 + y) * sqrt(3).

To learn more about line integral from the given link

https://brainly.com/question/25706129

#SPJ4

Answer:

4g

Step-by-step explanation:

The perimeter of a rectangle can be expressed using the formula P(l) = 2l + 162/l.

The domain of this function is the set of positive real numbers excluding 0, expressed as the interval (0, ∞).

To express the perimeter P(l) as a function of the length l, we can substitute the given area A = 81 square inches into the formula for area A = lw.

Given:

Area A = 81 square inches (A = lw)

Substituting A = 81 into the formula, we get:

81 = lw

Now, let's solve this equation for the width w:

w = 81/l

Next, we can substitute this value of w into the formula for perimeter P = 2l + 2w:

P(l) = 2l + 2(81/l)

P(l) = 2l + 162/l

Therefore, the perimeter P(l) can be expressed as the function P(l) = 2l + 162/l.

Now, let's determine the domain of the function. Since the length l represents the length of a rectangle, it must be a positive value (l > 0) to have a valid geometric interpretation. Additionally, the function P(l) is defined for all positive values of l except for l = 0, as the division by zero is undefined.

Thus, the domain of the function P(l) is the set of positive real numbers excluding l = 0, expressed as the interval (0, ∞).

To learn more about perimeter of a rectangle visit : https://brainly.com/question/24571594

#SPJ11

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

Learn more about Annuity

brainly.com/question/23554766

#SPJ11

Answer:

1h every morning

Step-by-step explanation:

The surface area of this sphere is equal to 21.2 cm².

In Mathematics and Geometry, the surface area of a sphere can be calculated by using the following mathematical equation (formula):

Surface area of a sphere, S = 4πr²

Where:

r represents the radius.

By substituting the given radius into the formula for the surface area of a sphere, we have the following;

Surface area of a sphere, S = 4πr²

Surface area of a sphere, S = 3.14 × 2.6²

Surface area of a sphere, S = 3.14 × 6.76

Surface area of a sphere, S = 21.2 cm²

Read more on sphere here: brainly.com/question/20394302

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

c. 153 miles

Step-by-step explanation:

in one hour, Tom has gone 30 miles, Juanita 21- so they are 51 miles apart (30+21=51)

multiply 51 times the 3 hours and you get 153 miles.

Answer:

11111/100000

Step-by-step explanation:

Good luck

In situation a, the predictor variable is age, as it is being tested to see if it affects the outcome variable, which is the number of risky behaviors. So, age is the independent variable and the number of risky behaviors is the dependent variable.

In situation b, the predictor variable is the number of family members, as it is being tested to see if it affects the outcome variable, which is the level of education of children. So, the number of family members is the independent variable and the level of education of children is the dependent variable.

It is important to identify the predictor variable and the outcome variable in any study as this helps in understanding the relationship between the two variables and in interpreting the results accurately.

For situation A, the predictor variable is "age," and the outcome variable is "number of risky behaviors." As age increases, the study aims to see if the number of risky behaviors changes.

For situation B, the predictor variable is "number of family members," and the outcome variable is "level of education of children." The study examines whether the children's level of education changes based on the number of family members.

Learn more about independent variable at: brainly.com/question/1479694

#SPJ11