Bryan and Serena had the same amount of money initially. After Bryan donated $258 and Serena donated $234 to charity, Serena had 4 times as much as Bryan. How much had Serena in the end?

Answer:

B) 68 units^2

Step-by-step explanation:

8 x 17 x 0.5 = 68 units^2

Answer:

[tex]y=x^2+x-12[/tex]

Step-by-step explanation:

f(x) = x² – 8 and g(x) = 4-x

y=f(x) - g(x)

y=(x² – 8) - (4-x)

[tex]y=x^2-8-4+x\\y=x^2+x-12[/tex]

Answer:

D.

Step-by-step explanation:

Answer:

[tex]x = t[/tex]

[tex]y = 1 - t[/tex]

[tex]z = 2t[/tex]

Step-by-step explanation:

Given

[tex]x=t[/tex]

[tex]y=e^{-t}[/tex]

[tex]z=2t-t^2[/tex]

(0, 1, 0)

The vector equation is given as:

[tex]r(t) = (x,y,z)[/tex]

Substitute values for x, y and z

[tex]r(t) = (t,\ e^{-t},\ 2t - t^2)[/tex]

Differentiate:

[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]

The parametric value that corresponds to (0, 1, 0) is:

[tex]t = 0[/tex]

Substitute 0 for t in r'(t)

[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]

[tex]r'(0) = (1,\ -e^{-0},\ 2 - 2*0)[/tex]

[tex]r'(0) = (1,\ -1,\ 2 - 0)[/tex]

[tex]r'(0) = (1,\ -1,\ 2)[/tex]

The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)

It should be noted that:

The equation of a line through position vector a and parallel to vector v is given as:

[tex]r(t) = a + tv[/tex]

Such that:

[tex]a = (0,1,0)[/tex] and [tex]v = r'(0) = (1,-1,2)[/tex]

The equation becomes:

[tex]r(t) = (0,1,0) + t(1,-1,2)[/tex]

[tex]r(t) = (0,1,0) + (t,-t,2t)[/tex]

[tex]r(t) = (0+t,1-t,0+2t)[/tex]

[tex]r(t) = (t,1-t,2t)[/tex]

By comparison:

[tex]r(t) = (x,y,z)[/tex] and [tex]r(t) = (t,1-t,2t)[/tex]

The parametric equations for the tangent line are:

[tex]x = t[/tex]

[tex]y = 1 - t[/tex]

[tex]z = 2t[/tex]

Answer:

135.87

Step-by-step explanation:

7% of 126.99 is 8.8893

add 126.99 to 8.8893

you get ~135.87

Answer:

8.89

Step-by-step explanation:

Take the cost of the item times the tax rate to find the amount of tax

126.99 * 7%

Change to decimal form

126.99 * .07

8.8893

Round to the nearest cent

8.89

Step-by-step explanation:

Umm I can try. c:

I'll see....

9514 1404 393

Answer:

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  time = distance/speed

__

a) For 1 km, the time in hours is ...

  time = (1 km)/(3.5 km/h) = 1/3.5 h = 2/7 h

In minutes, that is ...

  (60 min/h)(2/7 h) = 120/7 min = 17 1/7 min . . . . time for 1 km

__

b) The time for 10 km is 10 times the time for 1 km, so will be ...

  (10)(2/7 h) = 20/7 h = 2 6/7 h

In hours and minutes, that is 2 hours and (6/7)(60 min) = 360/7 min = 51 3/7 min.

The time for 10 km is 2 hours 51 3/7 minutes.

Answer:

P(X > 25) = 0.69

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively.

This means that [tex]\mu = 26, \sigma = 2[/tex]

Find P(X>25)

This is 1 subtracted by the pvalue of Z when X = 25. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25 - 26}{2}[/tex]

[tex]Z = -0.5[/tex]

[tex]Z = -0.5[/tex] has a pvalue of 0.31

1 - 0.31 = 0.69.

So

P(X > 25) = 0.69

Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Interpreting as: 6000

Input:

6000

Number line:

Number line

Number name:

six thousand

Roman numerals:

\!\(\("V"\)\&_\)M

Binary form:

1011101110000_2

Prime factorization:

2^4×3×5^3

Residues modulo small integers:

m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9

6000 mod m | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 6

Properties:

6000 is an even number.

6000 is a number that cannot be written as a sum of 3 squares.

6000 has the representation 6000 = 3^5 5^2 - 75.

6000 divides 49^10 - 1.

Character code 6000:

| Tagbanwa letter sa

Unicode: U+1770 (decimal: 6000)

Mathematica: \:1770

(Tagbanwa)

Answer:

Me puedes dar más información?...Pliss

Answer: Para esto nesesitamos mas informasion asi no te la podemos responder cariño.

Step-by-step explanation:

Answer: Plane AEF

Step-by-step explanation: Parallel means equal or same as. If you follow the letters BCD you can see that it sorta makes a triangle shape. So if you follow the answer choices you could see that AEF is the only one that does what BCD does if that makes sense :)

Answer:

1,440,000

Step-by-step explanation:

1249 is rounded to 1200 because 49 is less than half of 100.

1194 is rounded to 1200 because 94 is more than half of 100.

1200 x 1200 = 1,440,000

Answer:

7(8)+10(4)=c

Step-by-step explanation:

Hope this helped!

Answer:

132x-8

Step-by-step explanation:

I think I might be wrong, but hopefully this is helpful, and yet I still find this confusing.

It's a simplification I don't know if you needed that.

Answer:

24.1cm

Step-by-step explanation:

Hi! Your answer is m = 4 or slope is 4.

Make sure to read an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

To find a slope of a line with given two coordinate points, we can do by using rise over run or slope formula which is:

[tex]\large\boxed{m=\frac{y_2-y_1}{x_2-x_1}}[/tex]

The boxed formula is the slope formula. The changes of y over the changes of x. This can be called "rate of change".

From (2,4) and (3,8). We substitute the given coordinate points in the formula.

[tex]\huge{m=\frac{8-4}{3-2}}\\\huge{m=\frac{4}{1}}\\\huge{m=4}[/tex]

Hence, the slope is 4.

Additional Note

Hope this helps!

Answer:

The answer is 3/4

Step-by-step explanation:

If two lines in perpendicular, then the slope has a relation as slope1 * slope2 = -1. Then if line 1 has slope -4/3 then -4/3 * x = -1, then x = 3/4 which is the slope for the second line.

Answer:

D.(-3,-7)

Step-by-step explanation:

5x+8=-5x-22

5x+8+5x=-22

10x+8=-22

10x=-22-8

10x=-30

x=-30/10

x=-3

y=5x+8         x=-3

y=5(-3)+8

y=-7

Answer:

The length is 117 ft and the width is 13 ft.

Step-by-step explanation:

From the question itself, we can write down the following equations...

(Let "P" be the perimeter of the rectangle, Let "L" be the length, and let "W" be the width, then...)

L = 9W

and

P = 2L + 2W

Now, we substatute the "L" value and get...

P = 2L + 2W

260 = 2(9W) + 2W

260 = 20W

W = 260 / 20

W = 13

Since we know the width we can now find the length by using the very first formula...

L = 9W

L = 9(13)

L = 117

Therefore, the length is 117 ft and the width is 13 ft.

Answer:

25

Step-by-step explanation:

Answer:25%

Step-by-step explanation:

Answer:

try symbolab calculator it will give you a step by step explanation

Answer:

x= -2

y= 12

Step-by-step explanation:

5x + y = 2..................eqn 1

x + y = 10 ..................eqn 2

from eqn 1

5x + y = 2, u substitute by making 'y' the subject

y = 2 - 5x .................eqn 3

put eqn 3 into eqn 2

x + y = 10

x + 2 - 5x = 10

x - 5x = 10 - 2

-4x = 8

x = 8 / -4

x = -2

put x = -2 into eqn 1

5x + y = 2

5(-2) + y = 2

-10 + y = 2

y = 2 + 10

y = 12

Answer:

Option A = 6

Step-by-step explanation:

3x- 5 = x+ 7           ( as diagonals r equal in a recangle)

3x-x = 7+ 5

2x = 12

x = 12/ 2 = 6

I hope im  Right !!

Answer:

C. x+y = 1 and -x-y = -1

Step-by-step explanation:

Remember that if a system of equations has an infinite number of solutions, then the resulting equation from using the first step of the elimination method would have no variables and would be true.  

1) Let's try canceling out the equations in option C, x+y =-1 and -x-y =-1. Add the two equations together. (Work shown in attached picture.)

2) All of the terms cancel out with each other, leaving only a true statement of 0 = 0. Thus, option C is the answer.  

Answer:

x= -1

Step-by-step explanation:

Given data

We have the expression as

(x+1)/(x+1)= 1/2​

let us first cross multiply

2(x+1)=(x+1)

2x+2=x+1

collect like terms

2x-x=1-2

x= -1

Hence the value of x=-1

Answer:14 or 0.25

Step-by-step explanation:

It’s basically already written there but decimal form is 0.25