What is the value of the expression below?
(-8) ^ 5/3

A. 40/3
B. - 40/3
C. -32
D. 32

Answer:

a) No because the gallons and quarts of oil you and your friend bought is proportional.

b) Yes because the gallons and quarts of oil are no longer proportional.

c) 1 gallon of gasoline = $3.55

   1 quart of oil = $5.00

Step-by-step explanation:

Let g = cost per gallon of gasoline

Let q = cost per quart of oil

a)  Creating expressions from the given information:

10g + 2q = 45.50

5g + q = 22.75

From inspection, we can see that if we multiply the second equation by 2, it will give us the first equation.  Therefore, they are proportional and we cannot determine the variables.

b) Creating expressions from the given information:

10g + 2q = 45.50

5g + q = 22.75

8g + 2q = 38.40

From inspection, we can see that the third equation is not proportional to equations 1 and 2.  Therefore, we can use this equation with either of the other equations to determine the variables.

c)

Using equations 2 and 3 from the previous part (b):

5g + q = 22.75

8g + 2q = 38.40

Rewrite 5g + q = 22.75 to make q the subject:

⇒ q = 22.75 - 5g

Substitute into 8g + 2q = 38.40 and solve for g:

⇒ 8g + 2(22.75 - 5g) = 38.40

⇒ 8g + 45.5 - 10g = 38.40

⇒ 2g = 7.1

⇒ g = 3.55

Substitute found value for g into q = 22.75 - 5g and solve for q:

⇒ q = 22.75 - (5 x 3.55)

⇒ q = 5

Answer:

I would defend this

Step-by-step explanation:

This makes sense because April is the rainiest month of the year. It's even shown in the say that April showers bring May flowers.

On arranging the given data in ascending order of their magnitudes, we get :

➙ 7 , 9 , 11 , 13 , 15 , 17 , 19

Clearly, n = 7, which is an odd number.

★ Lower Quartile (Q¹)

★ Upper Quartile (Q³)

★ Inter-Quartile range

⇒ Q³- Q¹

⇒ 17 - 9

⇒ 8

Answer:

-9

Step-by-step explanation:

        The additive inverse of 4 is -4. Why? 4 + -4 = 0

-4 - 5 = -9

Answer:

i think -9

Step-by-step explanation:

Answer:

Part A: Only 460 is divisible by 2

Part B: 385, and 460 are divisible by 5

Part C: Only 460 works for this one

Answer: the square root of 25 is 5

and also it’s an app called Desmos that finds the square root for you !

9² + 6²

→ 81 + 36

→ 117

Answer : 117

Answer:

Step-by-step explanation:

if it is linear then it will be a straight line(gradient is the same)

if quadratic then curve(gradeint isnt the same)

y=mx+c

m=[y(2)-y(1)]/[x(2)-x(1)]

you can choose any 2 points from the table

m=2-0.4/0-1

m=-1.6

repeat but 2 different coordinates

m=0.4-0.08/-1--2==>-2.24

m=-2.24

different coordinate therefore quadratic

cant be exponential, because nothing is being raised to some power

Answer:

Nothing further can be done with this topic

Step-by-step explanation:

Answer:

This answer is in its simplest form. There are no like terms in this equation.

Answer:

the answer is 25.50

Step-by-step explanation:

so you multiply 25×.15 which gives 3.75.

you subtrct that from 25. 25-3.75=21.25.

then multiply 21.25 by .20. 21.25×.20=4.25

add that to 21.25 and you get 25.50

Answer:

25.50

Hope it helps

[tex][Hello,BrainlyUser][/tex]

Answer:

$20

Step-by-step explanation:

20% More = Markup

20% = .20

$25 * .20 = 5 ( Markup Price)

$25 - 5 = $20

Hence, last month the cost of the cat was $20.

[CloudBreeze]

Answer:

sin (20) = - 2[tex]\sqrt{10}[/tex]/ 7

Step-by-step explanation:

1- Find the trigonometric values

Hope this helps :)

Answer:

Option d

Step-by-step explanation:

Given options are ,

Firstly find the GCF of 12x² and 8x .

The GCF of 12 and 8 is 4 , whereas the GCF of x² and x is x , So

→ GCF(12x² , 8x) = 4*x = 4x

Therefore the GCF is correctly factored out from the polynomial .

______________________________________

Here GCF of 15x² , 12x and 9 , will be ;

GCF of 15,12 and 9 is 3 whereas of x² , x and 1 is 1

→ GCF = 3*1 = 3

Therefore the GCF is correctly factored out from the polynomial .

______________________________________

Here GCF of 4 , 12 and 18 is 2 and that of x⁴ , x³ and x² is x² . So ,

→ GCF = 2*x² = 2x²

Therefore the GCF is correctly factored out from the polynomial .

______________________________________

Here GCF of 16 and 24 is 8 and that of x^5 and x² is x² . So ,

→ GCF = 8*x² = 8x²

But they have factored out 4x² .

Therefore the GCF is " not " correctly factored out from the polynomial .

Option d is correct .

The x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J is  (85, 105).

Given

On a coordinate plane, a line is drawn from point K to point J. Point K is at (160, 120) and point J is at (negative 40, 80).

The coordinates point any point can be found by using the following formula.

[tex]\rm X=\dfrac{m}{m+n}(x_2-x_1)+x_1\\\\ Y=\dfrac{m}{m+n}(y_2-y_1)+y_1[/tex]

The x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J is;

[tex]\rm X=\dfrac{m}{m+n}(x_2-x_1)+x_1\\\\ X = \dfrac{3}{3+5}(-40-160)+160\\\\ X = 3 \times (-25)+160\\\\\X = -75+160\\\\ X = 85\\\\\ Y=\dfrac{m}{m+n}(y_2-y_1)+y_1\\\\ Y=\dfrac{3}{3+5}(80-120)+120\\\\Y =- 3\times 5 +`120\\\\Y=-15+120\\\\Y=105[/tex]

Hence, the x- and y- coordinates of point P on the directed line segment from K to J such that P is Three-fifths the length of the line segment from K to J is  (85, 105).

To know more about co-ordinates click the link given below.

https://brainly.com/question/13847533

Answer:

B

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

10+10=20

Answer: See below

Step-by-step explanation:

-5x<2 means -5x is less than 2, so a decimal under 0.4 (but not equal to) such as 0.3, 0.2, and 0.1 would all make the inequality true

Ex. Let x = 0.2

-5(0.2) < 2

1 < 2

1 is less than 2, so the inequality is true

Step-by-step explanation:

2^x < 2x³ + 1 ?

that would mean

x < log2(2x³ + 1)

x < log2(2×(x³ + 1/2))

x < log2(2) + log2(x³ + 1/2)

x < 1 + log2(x³ + 1/2)

x - 1 < log2(x³ + 1/2)

for large x the "-1" and the "+ 1/2" are becoming relatively irrelevant for the inequality.

and the limes of this goes to

x < log2(x³)

which is not true for large x, as the logarithm turns into a very flat curve, while "x" just keeps growing with slope 1 and therefore outpaces the logarithm.

for x = 20 for example, 2^x is already way larger than 2x³.

the "cross-over" point is between x=11 and x=12.

from there on 2^x will quickly become much larger than 2x³ + 1.

Answer:

1-5

Step-by-step explanation:

5 - 1 = 4

Answer:

53.12 sq ft

Step-by-step explanation:

For triangle:

Base (b) = 8 ft

Height (h) = 7 ft

For semicircle:

Radius (r) = 8/2 = 4 ft

Area of the composite figure = Area of triangle + Area of semicircle.

[tex] = \frac{1}{2} bh + \frac{1}{2} \pi {r}^{2} \\ \\ = \frac{1}{2} (8)(7) + \frac{1}{2} (3.14)(4)^{2} \\ \\ = (4)(7) + (3.14)(8) \\ \\ = 28 + 25.12 \\ \\ = 53.12 \: {ft}^{2} [/tex]

Answer:

same

Step-by-step explanation:

i just know i forgot where i know it

Answer: -4

Step-by-step explanation:

-1.5(4-r)=-12

Divide both sides by -1.5

4-r=8

-r=4

r=-4

Therefore, the value of r is -4

Answer:

Step-by-step explanation:

Mid point :

[tex] \frac{x_1 + x_2}{2} \: \frac{y_1 +y _2}{2} [/tex]

x1 = 5

y1 = 8

x2 = 1

y2 = 2

Midpoint :

[tex]( \frac{5 + 1}{2} \: \frac{8 + 2}{2} ) \\ ( \frac{6}{2} \: \frac{10}{2} )[/tex]

Simplify

[tex](3 \: 5)[/tex]

Answer:

-1D

Step-by-step explanation:

1D + -4D + 2D = -1D

Answer:

Step-by-step explanation:

Write the equation in slope intercept form.

y = mx +c

y - 3x = 5

y = 3x + 5

m = 3  and c = 5

Answer:

2

5

Step-by-step explanation:

step 1 Multiply 1 by 2, and get 2, then we multiply 5 by 2 and get 10.

step 2 Since our denominators match, we can add the numerators.

The proportion of STEM students who participate in at least one AP course is 0.19.

It can be deduced that the proportion of STEM students who participate in at least one AP course will be:

= 38/200

= 0.19

The proportion of regular students in the sample who participate in at least one AP course will be:

= 70/200

= 0.35

Also, participating in two or more AP courses is independent of student status. This is because the p value is more than the 0.05.

A method that could have been used to select a simple random sample of 200 students from the high school is by writing all the registration numbers of the students in a container an randomly picking.

There is bias in the sampling because the convenience sampling is used. This doesn't give everyone an equal chance.

In conclusion, status is not related to level of participation in AP courses.

Learn more about proportion on:

https://brainly.com/question/19994681