Drake was trying to write an equation to help him predict the cost of his monthly phone bill.


He is charged $35 just for having a phone, and his only additional expense comes from the number of text that he sends,


He is charged $0. 05 for each text. Name the function C(t), where C(t) is the cost of bill according to number of text.

Answer:

6c+d+17

Step-by-step explanation:

Answer:

18x+1

Step-by-step explanation:

Firstly using multiplication identity to solve parentheses :

3(2x + 7) − 4(−3x + 5) = 6x + 21 + 12x -20

Adding like terms ;

18x +1

Therefore, after simplifying the given equation we get 18x +1

Thank you!:)

Answer:-

\( \: \)

Solution:-

\( \: \)

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\( \: \)

\( \: \)

\( \color{lightblue}{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}\)

hope it helps! :)

Answer:

C

Step-by-step explanation:

AA postulate because we are given 2 of the 3 angles of each triangle. They are both the same in each triangle. Also, we can find the 3rd angle in each triangle. Since both triangles have the exact same angles, they are similar.

The given triangles ΔABC and ΔLMN are similar by AA postulate.

A triangle is a three sided polygon that consist of three edges and three vertices .

Here two given triangles are ΔABC and ΔLMN. In these two triangles ∠A=∠L=53° and ∠B=∠M= 72°.

Therefore, the two corresponding angles of triangles ΔABC and ΔLMN are equal . So the third angle of ΔABC is also equal to the corresponding angle of ΔLMN.

Hence two triangles are similar by AA postulate.

Thus two triangles are similar by AA postulate. So option (C) is correct.

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Answer

516,901

Step-by-step explanation:

36,700/7.1%

you have to change the 7.1% to a decimal so its now

36,700/0.071= 516,901.4084507

round it to the nearest whole number is 516,901

Answer:

A scale factor of 27

Answer:

Step-by-step explanation:

(92 - 12) – 4 = 2 (2 + for

4.0)

I

The behavior of the function g at x = 8

The function has a value of 5 at x = 8.

The function is decreasing at x = 8.

The slope of the tangent line is becoming less steep at x = 8.

The rate at which the slope is changing is increasing at x = 8.

The given information provides the values of the function g and its derivatives at x = 8. Let's analyze what each derivative represents and what we can infer from the provided values.

First, we have g(8) = 5, which indicates that the value of the function g at x = 8 is 5.

Next, g'(8) = -3 represents the value of the first derivative of g at x = 8. The first derivative measures the rate of change of the function at a specific point. In this case, g'(8) = -3 suggests that the function g is decreasing at x = 8, as the derivative is negative. This implies that the slope of the tangent line to the graph of g at x = 8 has a negative value of -3.

Moving on, g''(8) = 4 represents the value of the second derivative of g at x = 8. The second derivative measures the rate at which the slope of the function is changing. In this case, g''(8) = 4 indicates that the slope of the tangent line to the graph of g is increasing at x = 8. A positive second derivative suggests a concave up shape of the graph.

Lastly, g'''(8) = 1 represents the value of the third derivative of g at x = 8. The third derivative measures the rate at which the rate of change of the slope is changing. In this case, g'''(8) = 1 indicates that the rate of change of the slope is increasing at x = 8. A positive third derivative suggests a graph that is becoming steeper.

Based on this information, we can make the following observations about the behavior of the function g at x = 8:

- The function has a value of 5 at x = 8.

- The function is decreasing at x = 8.

- The slope of the tangent line is becoming less steep at x = 8.

- The rate at which the slope is changing is increasing at x = 8.

These properties provide insights into the behavior of the function g and its derivatives at x = 8. However, without further information or an explicit equation for g(x), we cannot determine the specific shape or behavior of the function beyond the given point.

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Answer:

Y = 8x - 55

Step-by-step explanation:

Answer:

It looks like the Bears have the higher wins, as they won 40 games while the Bulls won only 32 games.

The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.

In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.

The Central Limit Theorem establishes that for a proportion p in a sample of size n:

The expected value is μ=р

The standard error is s=\(\sqrt{\frac{p(1-p)}{n} }\)

In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.

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The numerical length of the line segment FG is 10 units.

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Point G is on FH, hence:

FH = FG + GH

Given that GH = 8, FH = 3x + 3, FG = 2x, hence:

3x + 3 = (2x) + 8

x = 5

FG = 2x = 2(5) = 10

The numerical length of the line segment FG is 10 units.

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Answer:

UHHHHHH

Step-by-step explanation:

Answer:

If Sandy bought a soft drink for 2 dollars that's 2 dollars subtracted from the total of $12.00 spent

If we have 10 dollars and bought 5 candy bars we would divide so 10 divided by 5 = 2 so each candy bar costed $2 dollars

When using the chi-square goodness of fit test, the smaller the value of the chi-square test statistic, the more likely we are to accept the null hypothesis rather than reject it. This statement is false.

The chi-square goodness of fit test is a hypothesis test that measures how well an observed frequency distribution fits a theoretical frequency distribution. It is used to determine whether a sample's categorical data is distributed similarly to the population's categorical data or not.

However, a low chi-square statistic suggests that the observed frequencies are close to the expected frequencies, and thus the null hypothesis should not be rejected. In contrast, a large chi-square value indicates that the observed frequencies are significantly different from the expected frequencies, indicating that the null hypothesis should be rejected.

Therefore, when using the chi-square goodness of fit test, the larger the value of the chi-square test statistic, the more likely we are to reject the null hypothesis, and vice versa.

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Applying the slope formula calculated from the points, \(m = \frac{y_2-y_1}{x_2-x_1}\) , The answer is undefined.

The slope of a line is a number that describes the steepness of the line and the direction in which it is sloping. It is often represented by the letter "m" and is calculated as the ratio of the change in the y-coordinate (rise) to the change in the x-coordinate (run) between two points on the line. The slope can be positive, negative, zero or undefined. A positive slope indicates that the line is rising from left to right, a negative slope indicates that the line is falling from left to right, a slope of zero indicates that the line is horizontal and an undefined slope indicates that the line is vertical.

The intercepts of a line are the points at which the line crosses the x-axis and y-axis. A line can have zero, one, or two intercepts, depending on its slope and the position of the line in the coordinate plane. The x-intercept of a line is the point at which the line crosses the x-axis. It is the point at which the y-coordinate is equal to zero. The y-intercept of a line is the point at which the line crosses the y-axis. It is the point at which the x-coordinate is equal to zero.

(x1,y1) = (6,-8)

(x2,y2) = (6,-3)

\(m = \frac{y_2-y_1}{x_2-x_1}\)

m=undefined (The points lie on vertical line.)

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Answer:

C. 30

Step-by-step explanation:

We have a list of names that need to be sorted in a specific order. For this, we will use a permutation. This can be found on a scientific calculator, however, I'll be using the equation.

\(_nP_r=\frac{n!}{(n-r)!}\)

n = total number of objects

r = number of objects selected

In this instance, n will equal 6 since we have 6 different names to choose from and r will equal 2 since we are picking two names. Enter the values into the equation and evaluate.

\(_6P_2=\frac{6!}{(6-2)!}=30\)

Therefore, there are 30 possible two-part names.

Answer:

1 is B 2 is D

Step-by-step explanation:

5+3+2=10

but since you took a pink one out its now 9 you also need to subtract 1 from the 5 since you didn't replace it

so your chances of getting a pink one are 4/9

The integral does not converge for this value of c. This means that there is no value of c for which the integral converges.

To find the value of the constant c for which the integral converges, we need to use the Comparison Test. The Comparison Test states that if 0 ≤ f(x) ≤ g(x) for all x in [a, ∞) and the integral of g(x) converges, then the integral of f(x) also converges.

In this case, we can compare the function 15x^2 - 4 - 15cx^2 to the function 1/x^2. Since 1/x^2 converges for x > 1, we can use the Comparison Test to find the value of c that makes the integral of 15x^2 - 4 - 15cx^2 converge.

First, we need to make sure that 0 ≤ 15x^2 - 4 - 15cx^2 ≤ 1/x^2 for all x in [a, ∞). This means that:

15x^2 - 4 - 15cx^2 ≤ 1/x^2

15(1-c)x^2 ≤ 4 + 1/x^2

(1-c)x^2 ≤ (4/15) + (1/15x^2)

(1-c) ≤ (4/15x^2) + (1/15x^4)

Since we want the integral to converge, we need to find the value of c that makes (1-c) ≤ (4/15x^2) + (1/15x^4) true for all x in [a, ∞). The easiest way to do this is to set (1-c) equal to 0 and solve for c:

1-c = 0

c = 1

So, the value of the constant c for which the integral converges is c = 1.

Now, we can evaluate the integral for this value of c:

∫[0, ∞] 15x^2 - 4 - 15(1)x^2 dx = ∫[0, ∞] -4 dx = -4x |[0, ∞] = -4(∞) - (-4)(0) = -∞

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the probability P(X<-2), we use the cumulative distribution function F(x) = 0 for x < -2. We plug in -2 for x in the function to get F(-2) = 0.

a. P(X<1.8) = .25(1.8) + .5 = .95

b. P(X>-1.5) = .25(-1.5) + .5 = .375

c. P(X<-2) = 0

d. P(-1.5<X<2) = .25(2) + .5 - (.25(-1.5) + .5) = .875

a. For the probability P(X<1.8), we use the cumulative distribution function F(x) = 0.25x + 0.5 for -2 <= x < 2. We plug in 1.8 for x in the function to get F(1.8) = 0.25(1.8) + 0.5 = 0.95. Therefore, P(X<1.8) = 0.95.

b. For the probability P(X>-1.5), we use the cumulative distribution function F(x) = 0.25x + 0.5 for -2 <= x < 2. We plug in -1.5 for x in the function to get F(-1.5) = 0.25(-1.5) + 0.5 = 0.375. Therefore, P(X>-1.5) = 0.375.

c. For the probability P(X<-2), we use the cumulative distribution function F(x) = 0 for x < -2. We plug in -2 for x in the function to get F(-2) = 0. Therefore, P(X<-2) = 0.

d. For the probability P(-1.5<X<2), we use the cumulative distribution function F(x) = 0.25x + 0.5 for -2 <= x < 2. We plug in -1.5 and 2 for x in the function to get F(-1.5) = 0.25(-1.5) + 0.5 = 0.375 and F(2) = 0.25(2) + 0.5 = 0.95. Therefore, P(-1.5<X<2) = 0.95 - 0.375 = 0.875.

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Answer:

D: {0 ≤ x < ∞}

Step-by-step explanation:

0 less than or equal to x < infinity

here's a tip! to type a square root, use ALT and type 251 with NumLock on and then release ALT and you'll have a square root! :) have a great day.

The estimated margin of error for the survey of the students would be 5%.

Margin of error is a percentage that reflects the degree of inaccuracy inherent in the sample of any survey. It suggests how far the sample estimate is likely to be from the real population value. It gives a measure of the quality of a sample, indicating how far it is from a true representation of the population.

The quick method to estimate the margin of error for a survey with a 95% level of confidence is:

ME = 1 / √n

Where, ME = Margin of error and n = Sample size

Using the given data, the sample size n = 375

Thus,

ME = 1 / √375 = 0.0519 ≈ 5%

Therefore, the estimated margin of error would be approximately 5%.

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Answer:

- \(\frac{1}{2}\)  

Step-by-step explanation:

1) 16

2) 16 ÷ ( - 2) = - 8

3) - 8 ÷ ( - 2) = 4

4) 4 ÷ ( - 2) = - 2

5) - 2 ÷ ( - 2) = 1

6) 1 ÷ ( - 2) =  - \(\frac{1}{2}\)

Answer:

All the sides of the square are equalso the squares are congruent.. Are congruent shapes? Two shapes that are the same size and the same shape are congruent.

hope this helps

mark me brainliest

Step-by-step explanation:

Answer:

\(\frac{2}{9}\) of the original cake each friend will receive, so Tari is right.

Step-by-step explanation:

You know that Genesis has \(\frac{2}{3}\) of her birthday cake left and she wants to share it between 3 of her friends.  

To determine the amount of original cake that each friend will receive is determined by dividing the \(\frac{2}{3}\) of the cake into 3 pieces, which is the number of friends.

\(\frac{2}{3}\) ÷3

To divide fractions by natural numbers, the whole is considered as a fraction (that is, over the denominator 1). Then you invert this the second fraction and multiply the fractions. For this, you multiply the numerators of the fractions on one side and multiply the denominators of the fractions on the other. If necessary, you simplify the resulting fraction.

In summary, to divide a fraction by a whole number, all you have to do is convert the whole number to a fraction, find the reciprocal of that fraction, and multiply the result by the first fraction.

In this case:

\(\frac{2}{3}\) ÷3= \(\frac{2}{3} *\frac{1}{3}=\frac{2*1}{3*3} =\frac{2}{9}\)

\(\frac{2}{9}\) of the original cake each friend will receive, so Tari is right.

Answer:

first take common

2(a+b)=c2

a+b=c

so,

if tha value of a+b is c

then

2(a+b)=c2

2×c=c2

c2=c2

proved

Step-by-step explanation:Step-by-step explanation:

For Sienna to be able to take the square root of both sides while solving a quadratic equation, she must have an expression with square on at least, the side that contains the variable she is trying to determine. Equation of the form:

(x + a) ² = b

'a' and 'b' could be any number, -1, 0, 1/3, -5/6, anything really.

So, she can take square roots of both sides then, like this

√(x + a)² = √b

x + a = ±√b

x = -a ± √b

Square roots always cancel out squares, and the '±' is because a square is satisfies by both + and -, 3² = 9, and (-3)² = 9.

It is the nature of the problem being solved that determines if we take just one or both of these answers.

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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The inverse function is given by: R(U) = (4G^2M^2)/(U^2)

To find the inverse of the function U(R) = 2GM/√R, we need to express R in terms of u.

Starting with the given equation:

U(R) = 2GM/√R

First, let's isolate √R on one side of the equation by dividing both sides by U(R):

√R = 2GM/U(R)

Next, square both sides of the equation to eliminate the square root:

R = (2GM/U(R))^2

Simplifying further:

R = (4G^2M^2)/(U(R))^2

In this inverse function, we express R, the planet's radius, in terms of the escape velocity u, where G is the universal gravitational constant and M is the planetary mass.

Note that this inverse function provides a relationship between the escape velocity and the planet's radius. By knowing the escape velocity, we can use this equation to estimate the radius of the planet.

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