HURRY !!!
Translate each expression or equation into a verbal phrase.
21) 2 (5+t) = 8

Answer:

v = 9

Step-by-step explanation:

6(v + 3) = 72

6v + 18 = 72

6v = 54

v = 9

Answer:

V = 9

Step-by-step explanation:

6(v + 3) = 72

Divide both sides by 6

6(v+3)/6 = 72/6

SImplify:

v + 3 =12

Subtract 3 from both sides:

v + 3 - 3 = 12 - 3

Simplify to get your answer of:

v = 9

Hope this helped,If you have any questions revolving around this topic,feel free to ask me and I will be glad to help,Good luck!

Answer:

Sine

Step-by-step explanation:

Using the acronym SOHCAHTOA, we can see that Sine (S) should be used.

SOH represents Sine, Opposite, Hypotenuse.

Since we are only given the opposite side and hypotenuse, the sine ratio should be used, which is opposite / hypotenuse

So, sine will be used.

Answer:

23

Step-by-step explanation:

51+(2x+3)=100

54+2x=100

-54         -54

2x=46

x=23

Answer:

y = ( 3x / 2 ) - ( 1 / 4 )

Step-by-step explanation:

Slope-intercept form is y = mx + b

Answer:-3

x=-5-1

x=-6

x+3

=-6+3

=-3

To prove that two angles in two triangles are congruent, you must use the Angle-Angle Postulate (AA).  The Angle-Angle Postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are congruent.

Therefore, to prove that two angles in two triangles are congruent, you must first show that the two angles have the same measure. This can be done by using the Angle Addition Postulate or by using subtracting the measure of one angle from the measure of the other.

Three vertices and three sides make up a triangle, which is a polygon. The triangle's angles are created when the three sides are joined end to end at a point. The three angles of the triangle sum up to 180 degrees.

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Answer:

False

Step-by-step explanation:

An integer is any whole number

Answer:

I believe the answer is true

Step-by-step explanation:

Answer:

the answer is (a) 28.

Step-by-step explanation:

The given situation can be represented by a linear equation of the form:

Cost = mx + b

where "m" is the slope (the rate of change of cost with respect to time), "x" is the number of hours of the tour, and "b" is the y-intercept (the cost when x = 0).

In this case, the y-intercept is $60, which represents the one-time fee. The cost increases by $28 per hour, so the slope is:

m = $28/hour

Therefore, the answer is (a) 28.

To calculate the cliff's elevation in 10 millennia, we need to use a little bit of math.

Since the cliff is losing elevation at a rate of 5% every millennium, we know that after one millennium, the cliff's elevation will be 95% of its current elevation. Therefore, we can use this formula to calculate the cliff's elevation after three millennia:
1,519 meters * 0.95^10 = 601.83 meters
So, after 10 millennia, the cliff's elevation will be approximately 601.83 meters. This means that the cliff will have lost approximately 917 meters of elevation over the course of 10,000 years due to erosion.

Finally, by applying the formula, we can determine the cliff's elevation in 10 millennia. After doing the calculation, we find that the final elevation will be approximately 744.29 meters.

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A. The equations for the amounts of money Lyle and Shaun have in their accounts are represented as:

f(x) = 20x + 100

g(x) = 10x + 500

B. When f(x) = g(x), x = 40.

A linear equation can be written in slope-intercept form y = mx + b. Here, the value of m is the unit rate or slope, while the value of b is its y-intercept or initial value.

Part A:

Equation for Lyle:

y-intercept / initial value (b) = $100

Slope / unit rate (m) = $20

To write the equation, substitute m = 20 and b = 100 into f(x) = mx + b:

f(x) = 20x + 100.

Equation for Lyle:

y-intercept / initial value (b) = $500

Slope / unit rate (m) = $10

To write the equation, substitute m = 10 and b = 500 into g(x) = mx + b:

g(x) = 10x + 500.

Part B: To solve the system, we would do the following:

20x + 100 = 10x + 500

20x - 10x = -100 + 500

10x = 400

x = 400/10

x = 40

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He would travel 32.5 miles in 30 minutes. 130 split into a half is 65, split again and you get 32.5 miles.

Answer:

{y≥1

,{y-x>0

Step-by-step explanation:

First of all you have to consider the shaded region. It is bound by two lines.

The first line is a solid line that cuts the y-axis at +1. it's equation is y = 1. since the shade region is on the upper side where y values increase, the unequivocally will be y≥1. notice that the sign ≥ is due to the solid line which indicates points on the solid line are part of the solution.

the second line is the broken line. it passes through the origin (0,0) and (1,1) any two points can be taken. the gradient is 1. m= (y1-y2)/(x1-x2) = (0-1)/(0-1)=(-1/-1)= 1. the equation of a straight line is

y=mx + c where m is gradient and c is the VA)ue of y as the line crosses the y axis ( y-intercept) which in this case is 0 at (0,0).so the equation will be y=1(x) + 0

y=x if we subtract x from both sides we have

y-x=0

since the shaded region is on the upper side as y-x increases the in equality will be

y-x>0 notice since the line is broken it shall be just > not≥ because points on a broken line are not included in the shaded region.

Answer:

16

Step-by-step explanation:

one side is four the other is four 4x4 is 16

Answer:

8

Step-by-step explanation:

Since its 1/2 cm per cube, each side is 4 cubes, 4x1/2 = 2. 2x2x2 = 8

Answer:

r=2,n=7

Step-by-step explanation:

The formula for the sum of the nth term of a Geometric Progression is given as:

Sn = a(1-r^n)/(1-r)

Where n = Number of terms

r = Common ratio

From the above question, we are told that:

The sum of the 1st nth term gp is 127.

Hence:

127 = 1(1-r^n)/(1-r)

We are also told that:

The sum of the reciprocal is 127/64

This means the inverse, the formula is given as:

Sn = 1/a(1-r^n)/(1-r)

127/64 = 1(1-1/r^n)/(1-1/r)

= r^(1-n)(1-r^n)/(1-r)

Solving the above, we obtain:

r^(n-1) = 64

r^(n-1) = 2⁶

Hence:

r = 2

Solving for n

n - 1 = 6

n = 6 + 1

n = 7

Therefore:

r=2,n=7

Answer:

4.8 million

Step-by-step explanation:

Equation = 5p + 1 = 25.5

Solving for p

5p = 25 - 1

5p = 24

p = 24/5

p = 4.8 million

Answer:

5p+1=25.5

5p=25.5-1

5p=24.5

p=24.5/5

p=4.9

Step-by-step explanation:

4.9 million

Answer:

15 miles

Step-by-step explanation:

10x1.5=15

Answer:

15 miles

Step-by-step explanation:

Distance = Speed x Time

= 10 mph x 1.5 h

Since the function, g(x), is obtained by vertically stretching f(x) = x2 + 1 by a scale factor of 3.The option that is the correct expression for g(x) is option C: g(x) = 3x² + 3

In the above case,  we shall multiply the base function by the scale factor when stretching a function vertically. As a result, we have g(x) = 3 f. (x). Don't forget to share 3 to each term in f. (x).

g(x) = 3(x² + 1)

=3x² + 3

As a result, the appropriate formulation for g(x) is 3x² + 3.

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See complete question below

The function, g(x), is obtained by vertically stretching f(x) = x2 + 1 by a scale factor of 3. Which of the following is the correct expression for g(x)?

 g(x) = 3x² + 1

g(x) = x² + 3

g(x) = 3x² + 3

g(x) = 3(x + 1)2

Answer:

Step-by-step explanation:

I would say 8 is the greatest number

the order from least to greatest

-9,-8,-5,-3,-2,0,1,2,4,4,5,6,7,8

Answer:

Italy - 6am

Taiwan - 1pm

Peru-12am

Turkey-8am

Laos-12pm

Step-by-step explanation:

Answer:

Italy is at 6am

Taiwan is at 1pm

Peru is at 12am

Turkey is at 8am

Laos is at 12pm

Step-by-step explanation:

The IQ score distribution follows a normal curve and is distributed with a mean of 100 and a standard deviation of 15. The 68-95-99.7 rule states that approximately 68% of the population falls within one standard deviation of the mean, 95% falls within two standard deviations of the mean, and 99.7% falls within three standard deviations of the mean.

To find the probability that a person selected at random has an IQ greater than 100, we need to calculate the z-score first. The z-score formula is given by:
z = (X - μ) / σ
where X is the IQ score, μ is the mean, and σ is the standard deviation.

Substituting the given values, we get:
z = (100 - 100) / 15
z = 0

A z-score of 0 means that the IQ score is equal to the mean. Since we want to find the probability of a person having an IQ score greater than 100, we need to find the area under the normal curve to the right of z = 0. Using a standard normal distribution table or a calculator, we can find this area to be approximately 0.5 or 50%. Therefore, the probability that a person selected at random has an IQ greater than 100 is 50%.

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Answer:

Look at the big picture.

Step-by-step explanation:

When creating an algorithm you should look at the big picture because it helps you understand what you need to do to correctly set up the algorithm.

Answer:

Answer:

x ≈ 2.76

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan78° = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{13}{x}\) ( multiply both sides by x )

x × tan78° = 13 ( divide both sides by tan78° )

x = \(\frac{13}{tan78}\) ≈ 2.76 ( to 2 dec. places )

Answer:

3, 1.03, 0.9, 6, 0, 15/4, -1 1/2, 0.01, 7, -2 (because also satisfies equal), 2, 9/10, 3.01, 2.97, -1, 0.0001, 2 1/5, 5/2, 4, -4/3, 5, 7/3, 1

Step-by-step explanation:

The inequality \(x\geq -2\) means that x is greater than or equal to -2. So, we can select all of the values that satisfy that.

Answer:

3, 1,03, 0,9, 6, 0, 15-4, -1 1-2, 0,01, 7, -2, 2, 9-10, 3,01, 2,97, -1, 0.0001, 2 1-5, 4, -4-3, 5, 7-3, 1

Therefore, the solution to the given differential equation is \(y = 4xy - 4xy^2 + 4∫ysin(2x)dx - sin(2x) + 4C_2\), where C2 is the constant of integration.

To solve the given differential equation, we can rewrite it as follows:

\((2ysin(x)cos(x) - y + 2y^2e^xy^2)dx = (x - sin^2(x) - 4xye^xy^2)dy\)

Let's simplify the equation and separate the variables:

\((2ysin(x)cos(x) - y)dx + 2y^2e^xy^2dx = (x - sin^2(x))dy - 4xye^xy^2dy\)

Integrating both sides, we have:

∫(2ysin(x)cos(x) - y)dx + ∫\(2y^2e^xy^2dx\) = ∫\((x - sin^2(x))dy\) - ∫\(4xye^xy^2dy\)

Integrating each term separately:

∫(2ysin(x)cos(x) - y)dx = xy - ∫\(sin^2(x)dy\)

∫\(2y^2e^xy^2dx\) = -∫\(4xye^xy^2dy\)

Expanding the integrals and simplifying, we get:

2∫ysin(x)cos(x)dx - ∫ydx = xy - y/2 - ∫(1/2)(1 - cos(2x))dy

2∫\(y^2e^xy^2dx = -2xye^xy^2 - C\)

Simplifying the remaining integrals, we have:

∫ysin(2x)dx - ∫ydx = xy - y/2 - (1/2)y + (1/4)sin(2x) + C1

2∫\(y^2e^xy^2dx = -2xye^xy^2 - C\)

Now, let's solve for y. Rearranging the terms, we get:

(1/2)y - (1/4)y = xy - \(xy^2\) + ∫ysin(2x)dx - (1/4)sin(2x) + C1 - C

Combining like terms, we have:

(1/4)y = xy - \(xy^2\) + ∫ysin(2x)dx - (1/4)sin(2x) + C2

Finally, solving for y, we get:

y = 4xy - \(4xy^2\) + 4∫ysin(2x)dx - sin(2x) + 4C2

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Answer:

your answers should be 4, 4, 12, 1/12. in that specific order. the first one is wrong because if it was 12 thirds there would be 36 equal parts. Hope this helps. :)

Step-by-step explanation:

Answer:

First, We'll take two numbers as 'x' and 'y', and their sum is given as 21 i.e. x + y = 21 .  3/4th of 'x'  and  2/3rd of 'y' when added gives 15 i.e.

(3/4)x + (2/3)y = 15. Now, we've got two equations and we'll solve them to get the value of x and y which will be the two numbers.

Step-by-step explanation:

let,

   first number = x

   second number = y

then ,   x + y = 21  

according to the question,

       (3/4)x + (2/3)y = 15

Now, solve these equations :

on solving, we get :

        x = 12 & y = 9

Hence, the two numbers are 12 and 9.

Answer:

f(x) = (x + 1)² - 9

vertex: (-1, -9)

domain:  all real numbers

range:  y ≥ -9

Step-by-step explanation:

y = x² + 2x - 8

convert by 'completing the square' method

x² + 2x + 1 = 8 + 1

(x + 1)² = 9

f(x) = (x + 1)² - 9

(a) The margin of error would be approximately 2.1 percent.

(b) The 99 percent confidence interval for the true proportion is 41.5 percent to 46.5 percent.

(c) It is possible that the percentage of all voters who approve of the president's performance is 50 percent, but we cannot conclude this with certainty from the given information.

(a) Assuming a 95% confidence level and a proportion of 0.5 (worst-case scenario), the margin of error can be estimated as:

Margin of error = 1.96 * sqrt[(p * (1 - p)) / n]

where p is the proportion (0.5) and n is the sample size (2,277).

Plugging in the values, we get:

Margin of error = 1.96 * sqrt[(0.5 * 0.5) / 2,277] ≈ 0.020 or 2.0%

Therefore, the approximate margin of error for the approval rating estimate is 2.0%.

(b) To construct a 99% confidence interval for the true proportion, we can use the formula:

CI = p ± z*sqrt[(p * (1 - p)) / n]

where p is the sample proportion (0.44), n is the sample size (2,277), and z is the critical value for a 99% confidence level, which can be obtained from a standard normal distribution table or calculator. The value of z is approximately 2.58.

Plugging in the values, we get:

CI = 0.44 ± 2.58*sqrt[(0.44 * 0.56) / 2,277]

CI = 0.44 ± 0.032

CI = (0.408, 0.472)

Therefore, we can say with 99% confidence that the true proportion of voters who approve the president's performance lies between 40.8% and 47.2%.

(c) Since the 99% confidence interval does not include 50%, we can say that it is unlikely that the true proportion of voters who approve of the president's performance is 50%. However, we cannot rule out the possibility completely since the confidence interval is an estimate and there is still some level of uncertainty involved.

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