Kadeem is saving money each week. Kadeem's savings are represented by the equation y=17.5x+36y=17.5x+36. Find the rate of change.

Answer:

y=2, y=12

Step-by-step explanation:

y = |-2-3|+|-2+2|-|-2+5|

y = 5+0-3

y=2

or you can try

y=12

\( \fbox{(2,5)}\)

Hello, substitute all the given coordinates & see if RHS match with LHS

given equation,

y = 4x-3

First coordinate,

(x,y) = (2,5)

5= 4×2-3

5=5

Hence, first solution satisfies the given equation,

let's solve for rest other cordinates,

second coordinate,

(x,y) = (5,5)

5= 4×5-3

5 ≠ 17

does not satisfy,

third coordinate,

(x,y) = (4,5)

5= 4×4-3

5 ≠ 13

does not satisfy,

fourth coordinate,

(x,y) = (4,5)

5 = 4×3-3

5 ≠ 9

does not satisfy.

Hence the correct answer is (2,5)

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Answer:

54

Step-by-step explanation:

see attached

Answer:

The smallest amout that the school should charge is $4.70.

Step-by-step explanation:

p = -200t2 + 3600t - 6400

p = -200 x 4.7 x 2 + 3600 x 4.7 - 6400

p = -1880 + 16920 - 6400

p = 15120 - 6400

p = 8720

Answer: 6, 45 $

Step-by-step explanation:

\(\displaystyle -200t^2+3600t-6400=8500 \ \ |\div100\\\\ -2t^2+36t-64-85 =0 \ \ |\cdot (-1) \\\\ 2t^2-36t+149=0 \\\\ \rm D=36^2-4\cdot2\cdot 149=104 \\\\ x_1=\frac{36+2\sqrt{26} }{4} \approx11,54 \\\\\\ x_2=\frac{36-2\sqrt{26} }{4} \approx 6,45 \\\\ x_2<x_1 \\\\ Then :\\\\ Answer : 6,45 \$\)

The triangle congruence postulate which proves that these triangle are congruent is SAS (Side Angle Side).

According to the SAS Postulate,

Two triangles are said to be congruent if their two sides and included angles are identical to those of another triangle's two sides and included angle.

According to the figures of the triangles, we can see

AC = XZ (Side)

∠ACB = ∠XZY (Angle)

BC = YZ (Side)

Hence, ΔABC ≅ ΔXYZ by SAS postulate.

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In a case whereby a ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the time the ball is thrown will it strike the​ ground at t = 2.5 or -3.5.

Height of building = 140 ft

Initial velocity, u = 16 ft/sec

the equation given is

h = -16t² -16t +140

h(t) = -16t² -16t +140

AT h(t) = 0 , We can divide by -2 and have

(8t² + 8t - 70) = 0

8t² + 8t - 70 = 0

Then if we solve with quadratic equation formula where  a=8, b=8, c=- 70 then the root will be -7/2 and 5/2 then  t = 2.5 or -3.5

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complete question;

A ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the height of the ball h in feet after t seconds is given by the equation h equals negative 16 t squared minus 16 t plus 140. how long after the ball is thrown will it strike the​ ground?

Answer:

x = 110; y=65

Step-by-step explanation:

X = 110 because A||B

in the small triangle we have 45° , y° and n° ( n is the missing angle )

n + x = 180

n = 180 -110

n = 70

triangle :

70 + 45 + y = 180°

115 + y =180

y = 180 - 115

y = 65°

Answer:

Step-by-step explanation:

cos(x) = 21/38

x = arccos(21/38) ≅ 56°

Answer: A solution to an equation is a number that can be plugged in for the variable to make a true number statement. Example 1: Substituting 2 for x in.

Step-by-step explanation:

,11

Step-by-step explanation:

let's face it.

100-45=55. 55/5=11

therefore,The maxium number is 11

Answer:

\(n\geq 13\)

Step-by-step explanation:

Let's set up an inequality:

\(n+2.5\geq 15.5\)

Now we subtract 2.5 from both sides:

\(n\geq 13\)

Answer:

x > 13

Step-by-step explanation:

We set up an inequality.

Let x = the unknown number.

x + 2.5 > 15.5

Subtract 2.5 from both sides to isolate x.

x > 13

I hope this helped and please mark me as brainliest!

Answer:

G(5)= 5

Step-by-step explanation:

r is 5, so you input it into the r next to -3, so you should have 20-3(5), and -3 times 5 is -15. You subtract -15 with 5 and the answer should give you 5.

Answer:

as a mixed number it's 6 4/5

Answer:

6.8

\(6\frac{4}{5}\)

Step-by-step explanation:

The 40th term of the sequence is 35 if the nth term is given as -5 + n.

Given,

nth term, aₙ = - 5 + n or n - 5

For 40th term n = 40

or 40th term = a₄₀ = 40 - 5

a₄₀ = 35

Therefore, the 40th term of the sequence is 35, if the nth term is given as -5 + n.

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Answer:

B D F

Step-by-step explanation:

I am just here to clarify.

Answer:

Probaly isnt usefull anymore but to whoever still needs to know its B, D, F or 18 ÷ (–6), 27 ÷ (–9), and –9 ÷ 3

Step-by-step explanation:

\($\begin{gathered}\int\left(\frac{1}{\sqrt{x}}+\cot x+\cos (3-\pi x)+\sin (2-5 x)-\frac{1}{3-7 x}\right) d x \\ -\frac{3}{2} x^{2 / 3}+\ln |\sin x|-\frac{1}{\pi} \sin (3-\pi x)+\frac{1}{5} \cos (2-5 x)-\frac{1}{7} \ln \left|x-\frac{3}{7}\right|+C\end{gathered}$\)

where \($C = C_1 + C_2 + C_3 + C_4 + C_5$\) is the constant of integration.

We can integrate each term of the given integral separately:

\($$\begin{gathered}\int\left(\frac{1}{\sqrt[3]{x}}+\cot x+\cos (3-\pi x)+\sin (2-5 x)-\frac{1}{3-7 x}\right) d x \\-\int x^{-1 / 3} d x+\int \cot x d x+\int \cos (3-\pi x) d x+\int \sin (2-5 x) d x-\int \frac{1}{3-7 x} d x\end{gathered}$$\)

Using the power rule of integration, we get:

\($$\int x^{-1 / 3} d x-\frac{3}{2} x^{2 / 3}+C_1$$\)

Using the identity \($\cot x = \frac{\cos x}{\sin x}$\), we get:

\($\int \cot x d x-\int \frac{\cos x}{\sin x} d x-\ln |\sin x|+C_2$\)

Using the substitution \($u = 3 - \pi x$\), we get:

\($\int \cos (3-\pi x) d x--\frac{1}{\pi} \int \cos u d u--\frac{1}{\pi} \sin u+C_3--\frac{1}{\pi} \sin (3-\pi x)+C_3$\)

Using the substitution \($u = 2-5x$\), we get:

\($$\int \sin (2-5 x) d x--\frac{1}{5} \int \sin u d u-\frac{1}{5} \cos u+C_4-\frac{1}{5} \cos (2-5 x)+C_4$$\)

Using partial fraction decomposition, we get:

\($$\int \frac{1}{3-7 x} d x--\frac{1}{7} \int \frac{1}{x-\frac{3}{7}} d x--\frac{1}{7} \ln \left|x-\frac{3}{7}\right|+C_5$$\)

Putting all the results together, we get the final answer:

\($\begin{gathered}\int\left(\frac{1}{\sqrt{x}}+\cot x+\cos (3-\pi x)+\sin (2-5 x)-\frac{1}{3-7 x}\right) d x \\ -\frac{3}{2} x^{2 / 3}+\ln |\sin x|-\frac{1}{\pi} \sin (3-\pi x)+\frac{1}{5} \cos (2-5 x)-\frac{1}{7} \ln \left|x-\frac{3}{7}\right|+C\end{gathered}$\)

where \($C = C_1 + C_2 + C_3 + C_4 + C_5$\) is the constant of integration.

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It is B :)

Step-by-step explanation:

The indefinite integral is:

-10 ln|x| + 3 ln|x - 2| + 7 ln|x + 1| + C

First, we factor the denominator of the integrand using partial fractions:

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

We then express the integrand as:

10x^2 - 7x + 2 = A/(x - 2) + B/x + C/(x + 1)

Multiplying both sides by the denominator and solving for A, B, and C, we get:

A = -4, B = 10, C = 1

Thus, we can rewrite the integrand as:

-4/(x - 2) + 10/x + 1/(x + 1)

Integrating each term separately and combining the results, we obtain the final expression for the indefinite integral.

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#a

\(\\ \sf{:}\dashrightarrow \dfrac{9}{4}\div \dfrac{-3}{4}=\dfrac{9}{4}\times \dfrac{4}{-3}=-3\)

#b

\(\\ \sf{:}\dashrightarrow \dfrac{-5}{7}\div \dfrac{-1}{3}=\dfrac{-5}{7}\div -3=\dfrac{15}{7}\)

#c

\(\\ \sf{:}\dashrightarrow \dfrac{-5}{3}\div \dfrac{1}{6}=\dfrac{-5}{3}\times 6=-10\)

To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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Answer:

I need help with math too. Can u help me and I’ll help u

Step-by-step explanation:

B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution. However, this is only true if certain conditions are met, one of which is having a large enough sample size.
The CLT states that the sampling distribution of x will be approximately normally distributed if the sample size is large enough (usually greater than 30). If the sample size is small, the sampling distribution may not be normally distributed. In such cases, other statistical techniques like the t-distribution should be used.
Furthermore, the CLT assumes that the population being sampled is not necessarily normally distributed, but it does require that the population has a finite variance. This means that even if the population is not normally distributed, the sampling distribution of x will still be approximately normal if the sample size is large enough.
In conclusion, the answer is B, as the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

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Answer:

3/4

Step-by-step explanation:

open the brackets by multiplication

12x+28= 19

12x= 19-28

12x= -9 (divide)

-9/12x

x= 3/4

Answer:

\(\boxed{x=-0.75 }\)

Step-by-step explanation:

4 ( 3x + 7 ) = 19

→ Expand the brackets

12x + 28 = 19

→ Minus 28 from both sides to isolate 12x

12x = -9

→ Divide 12 from both sides to isolate x

\(x=-\frac{9}{12} =- \frac{3}{4} =-0.75\)

Answers:

Blue to green - 3:4

Blue to total - 6:25

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Answer:

-2

Step-by-step explanation:

y2 - y1 / x2 - x1

7 - (-1) / -8 - (-4)

8/-4

= -2

Answer:

Step-by-step explanation:

Yes, this is true. Correlation between two variables, Y and X, can range from -1 to +1.

The correlation coefficient, ρYX, tells us the strength of the linear relationship between Y and X, and it ranges from -1 to +1. A correlation of -1 indicates a perfect negative linear relationship, while a correlation of +1 represents a perfect positive linear relationship. The value of 0 indicates that no relationship exists between the two variables.

The formula for covariance is Cov (Y, X) = σYX = E[(Y - μY)(X - μX)]. Therefore, the covariance between two variables also lies between -1 to +1. The covariance measures how two variables change with respect to each other. A positive covariance means that two variables are positively related, while a negative covariance indicates that two variables are inversely related. A zero covariance means that the two variables are independent of each other.

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Answer:

Rate of change is most commonly defined as "the change in y over the change in x", or "how much does y change when x is changed by 1 unit".

Step-by-step explanation:

Answer:

2 1/3 > 2 1/6

Step-by-step explanation:

2.33 > 2.17 True

How do you know if it is inequality or not w/ fraction?

An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.

To solve an inequality using the following steps:

1) Eliminate fractions by multiplying all terms by the least common denominator of all fractions.

2) Simplify by combining like terms on each side of the inequality.

3) Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

Answer:

B

Step-by-step explanation:

I did the quiz

A hot-air balloon is at a height of 2,250 feet. It begins to descend at a rate of 150 feet per minute.

In context, after 6 minutes the balloon is at 1,350 ft, after 8 minutes the balloon is at 1,050 ft, and after 10 minutes the balloon is at 750 ft.

So for this, since the rate is linear we will be using the slope-intercept form, which is y = mx+b (m = slope/rate of change, b = y-intercept)

Since the rate of change "descends 150 ft per min", the m variable is -150.

The y-intercept is, in this case, the height of the balloon at 0 mins, or the starting height. Since the balloon "is at a height of 2250 ft", the b variable is 2250.

Putting our equation together, its y = -150x + 2250.

Since time is our independent variable, plug in 6, 8, and 10 mins into the x variable to solve for their heights:

y = -150(6)+2250

y = -900+2250

y = 1350

y = -150(8)+2250

y = -1200+2250

y = 1050

y = -150(10)+2250

y = -1500+2250

y = 750

Hence the answer, In context, after 6 minutes the balloon is at 1,350 ft, after 8 minutes the balloon is at 1,050 ft, and after 10 minutes the balloon is at 750 ft.

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Answer:

The answer is D

Step-by-step explanation:

The only logical explanation

Equation of the graphed line passing through the points (0, - 4) and (2, 2) is equals to  \(y = 3x - 4\).

" Coordinate plane is defined as the two dimensional plane formed by number line named x-axis and y-axis."

Formula used

Standard equation of the line

\(\frac{y-y_{1} }{x-x_{1} } =\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

According to the question,

Points passing through coordinate plane,

\((x_{1} ,y_{1} ) = (0,-4)\\\\(x_{2} ,y_{2} ) = (2,2)\)

Substitute the coordinates in the formula to get the equation of line ,

   \(\frac{y-(-4) }{x-0 } =\frac{2-(-4) }{2-0}\)

⇒ \(\frac{y+4 }{x } =\frac{6 }{2}\)

⇒\(y + 4= 3x\)

⇒\(y=3x-4\)

Hence, the equation of the line is \(y=3x-4\).

Learn more about coordinate plane here

https://brainly.com/question/13611766

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