Select the correct graph.
Which graph is the graph of function
f(x) =4^x

Given:

Volume of cuboid container = 2 litres

The container has a square base.

Its height is double the length of each edge on its base.

To find:

The height of the container.

Solution:

We know that,

1 litre = 1000 cubic cm

2 litre = 2000 cubic cm

Let x be the length of each edge on its base. Then the height of the container is:

[tex]h=2x[/tex]

The volume of a cuboid is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]V=2000,\ l=x,\ w=x,\ h=2x[/tex], we get

[tex]2000=x\times x\times 2x[/tex]

[tex]2000=2x^3[/tex]

Divide both sides by 2.

[tex]1000=x^3[/tex]

Taking cube root on both sides.

[tex]\sqrt[3]{1000}=x[/tex]

[tex]10=x[/tex]

Now, the height of the container is:

[tex]h=2x[/tex]

[tex]h=2(10)[/tex]

[tex]h=20[/tex]

Therefore, the height of the container is 20 cm.

Answer:

The slope is -7

Step-by-step explanation:

[tex]y = mx + c[/tex]

The [tex]m[/tex] indicates the slope/gradient of a graph

Answer:

m = -7

Step-by-step explanation:

y = -7x is a typical slope-intercept equation of a straight line.  Comparing it to

y = mx + b, we see that the slope, m, is -7 and the y-intercept, b, is 0.

Answer:

El pasajero recorrió 15 kilómetros.

Step-by-step explanation:

Dado que se sabe que el precio a pagar por un viaje en taxi incluye una parte fija, que se denomina bajada de bandera, y una parte variable, que es función de la distancia recorrida, si el precio de la bajada de bandera es de R $ 4,60 y el kilómetro recorrido es de R $ 0,96, para determinar cuál es la distancia recorrida por un pasajero que pagó R $ 19,00 se debe realizar el siguiente cálculo:

Costo total = (0.96 x cantidad de km recorridos) + 4.60

19 = 0.96X + 4.60

19 - 4.60 = 0.96X

14.4 = 0.96X

14.4 / 0.96 = X

15 = X

Por lo tanto, el pasajero recorrió 15 kilómetros.

Answer:

T=-13

Step-by-step explanation:

substitute T=3*5+4*(-7)

the product:T=15-28

the sum:T=-13

= 1,6 + 6,13

= 7,73 .

FollowMe? FollowBack.

Answer:

Step-by-step explanation:

1,6

6,13 +

7,73

Answer:

R12,950.00

Step-by-step explanation:

We solve using the formula

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 20%/100 = 0.2 per year.

Solving our equation:

A = 6475(1 + (0.2 × 5)) = 12950

A = R12,950.00

Therefore, the amount he will pay after 5 years is R12,950.00

Given:

The two numbers are [tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex].

To find:

The 4 rational numbers between the given numbers.

Solution:

We have,

[tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex]

First we need to make common denominators. So multiply and divide the first fraction by 3 and second fraction by 2.

[tex]-\dfrac{1\times 3}{2\times 3}=-\dfrac{3}{6}[/tex]

[tex]-\dfrac{1\times 2}{3\times 2}=-\dfrac{2}{6}[/tex]

We need to find 4 rational numbers between the given numbers. So, multiply and divide both fractions by five, (4+1=5).

[tex]-\dfrac{3\times 5}{6\times 5}=-\dfrac{15}{30}[/tex]

[tex]-\dfrac{2\times 5}{6\times 5}=-\dfrac{10}{30}[/tex]

Now, the four numbers between -15 to -10 are -14, -13, -12, -11.

[tex]-15<-14<-13<-12<-11<-10[/tex]

[tex]-\dfrac{15}{30}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{10}{30}[/tex]

[tex]-\dfrac{1}{2}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{1}{3}[/tex]

Therefore, the 4 rational number between the given numbers are [tex]-\dfrac{14}{30},\ -\dfrac{13}{30},\ -\dfrac{12}{30}\ -\dfrac{11}{30}[/tex].

Answer:

(fog)(x) = x

Step-by-step explanation:

Composite function:

[tex](f \circ g)(x) = f(g(x))[/tex]

Composite of a function and its inverse.

The composition of a function and it's inverse is the straight line x. So

[tex](f \circ f^{-1})(x) = x[/tex]

f = {(1,6), (4,7), (5,0)) and g = {(6,1), (7,4), (0,5)}

We can see that the x-values in f are the y-values for g, and the y-values for f are the x-values for g, that is, f and g are inverse functions. Thus:

(fog)(x) = x

Answer:

3s + 5t = 779

Step-by-step explanation:

Answer:

3 5 779

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

cause I took the test and got it right in my first try

Answer:

2 x plus 3 y equals 26. X plus 4 y equals 18

Step-by-step explanation:

Number of tiles, = x

Number of pints of paint, = y

Store 1:

Cost per tile = $2 ; cost per pint = $3 ; total cost = $26

Store 2 :

Cost per tile = $1 ; cost per pint = $4 ; total cost = $18

System of equation:

2x + 3y = 26 - - - (1)

x + 4y = 18 - - - - - (2)

Answer:

a/e

~~~~~~~~~~

[tex]\frac{(18) ab (20)cd}{ (15) bc (24) de}[/tex]

[tex]\frac{(3) ab (4)cd}{ (3) bc (4) de}\\[/tex]

[tex]\frac{ ab cd}{ bc de}\\[/tex]

[tex]\frac{ a }{ e}\\[/tex]

Step-by-step explanation:

Answer:

Nnamdi Azikiwe

Step-by-step explanation:

he was the first one

Answer:

(27 - P) / 3P = r

Step-by-step explanation:

A = P(1 + rt)

A = 27

27 = P(1 + 3r)

27 = P + 3Pr

27 - P = 3Pr

(27 - P) / 3P = r

Answer:

paki sagot naman po para my isagot ako sa module ko

Answer:

it should be 37°

Step-by-step explanation:

cos=adj/hypo

cis-1(12/15)

=36.8

=37

Answer:

12

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

in this case its

[tex]5^{2}[/tex] + [tex]b^{2}[/tex] = [tex]13^{2}[/tex]

25 + [tex]b^{2}[/tex] = 169 subtract 25 from both sides

[tex]b^{2}[/tex] = 144 take square root of each side

b = 12

Answer:

[tex]12[/tex]

Step-by-step explanation:

----------------------------------------

In order to find the missing side of the triangle, we would need to use the Pythagorean theorem: [tex]a^2+b^2=c^2[/tex]

So,

[tex]5^2+b^2=13^2[/tex]

[tex]25+b^2=169[/tex]

[tex]b^2=144[/tex]

[tex]b=12[/tex]

--------------------

Hope this helps.

Answer:

y = 1/3 x - 1

Step-by-step explanation:

use slope formula then substitute an x and y and the m to find b

y=mx+b

Answer:

Surface area of cone = 286.55 cm² (Approx.)

Volume of cone = 263.89 cm³ (Approx.)

Step-by-step explanation:

Given:

Height of cone = 7 cm

Diameter of cone = 12 cm

Find:

Surface area of cone

Volume of cone

Computation:

Radius of cone = 12 / 2 = 6 cm

Surface area of cone = πr(l +r)

Surface area of cone = (3.14)(6)[(√7² + 6²) + 6]

Surface area of cone = 18.84[15.21]

Surface area of cone = 286.55 cm² (Approx.)

Volume of cone = (1/3)(π)(r²)(h)

Volume of cone = (1/3)(3.14)(6²)(7)

Volume of cone = (1/3)(3.14)(36)(7)

Volume of cone = 263.89 cm³ (Approx.)

Step-by-step explanation:

The y intercept is when x=0 what is the y value.

When x=0, the y intercept is 1.

b. A gradient is the slope of the line. We need to find the rise and run of the line between two points.

Let use points 0,1 and 1,3

Our y values rise by 2 values and our x values change by 1 value so our slope is

[tex] \frac{2}{1} = 2[/tex]

Answer:

a. At the y-intercept,x=0

This implies the y-intercept=1

b. Taking points (0,1) and (1,3), the gradient of the line is given by (3-1)/(1-0) =2/1 =2

Answer:

a)  67.4°

Step-by-step explanation:

since this is a right triangle you can use the sine trigonometric ratio of opposite/hypotenuse

sin⁻¹(Ф) = 12/13 which equals 67.4°

Answer:

He needs to earn a 94%.

Step-by-step explanation:

[tex]\frac{82+88+96+x}{4} = 90\\ \\ \frac{266+x}{4} =90\\\\ 4(\frac{266+x}{4}) =(90)4\\ \\ 266+x = 360\\ \\ 266+x-266 =360-266\\ \\ \\x = 94[/tex]

He must earn a 94% on his latest test for a test average of 90%

Answer:

Step-by-step explanation:

Arc CAB through E is just the sum of the 3 minor arcs you are given

Arc CEB = 53 + 79 + 68

Arc CEB = 200

Answer:

The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.

Step-by-step explanation:

D. 3√14 /14

Step-by-step explanation:

given that cot(θ)= -√5/3 and cos(θ) < 0

cot(θ)= -√5/3 and cos(θ) < 0, the angle should be on quadrant II.

cot(θ)= -√5/3 => x = -√5 , y = 3

h = √(-3)²+5 =√14

so, sin(θ) = y/h = 3/√14 = 3√14 /14

Step-by-step explanation:

-1×5 1×3

------ -----

3×5 -5×3

=

-5/15 -3/15

-5/15×4/4 ;

-3/15×4/4

=

-20/60 ;

-12/60

you can write any 8 rational no. between them

please mark as brainliest answer as it will also give you 3 pts

Answer and also explanation:

Use the drawing tool(s) to form the correct answer on the provided plot.

In order to construct a dot plot representing the number of correct problems on each student's quiz, first find the range of the data.

The maximum number of correct problems is 10. The minimum number of correct problems is 2. Therefore, the number of correct problems ranges from 2 to 10.

Next, determine how many students had each number of correct problems in the range.

No. of Correct Problems

0 1 2 3 4 5 6 7 8 9 10

No. of Students 0 0 1 1 2 0 3 2 2 2 2

The number of correct problems, from 0 to 10, will be the values on the number line. The number of students will be the number of dots above each value on the number line.

The dot plot showing the correct number of math problems for Ms. Mackey's students is shown on your question.

Step-by-step explanation:

1/x^24 is the correct expression