no one answered it last time :(

Answer:

[tex]\mathbf{ \int^2_0 \dfrac{x^2}{4}. dx = \dfrac{2}{3}}[/tex]

Step-by-step explanation:

The volume of right pyramid whose base is a square is expressed by the formula:

[tex]V = \int^h_o \dfrac{L^2 *y^2}{h^2}. dy \ or \ V = \int^h_o \dfrac{L^2 *x^2}{h^2}. dx[/tex]

Given that:

height h = 2; &

side (l) = 1

Then;

[tex]V = \int^2_0 \dfrac{(1)^2 *x^2}{(2)^2}. dx[/tex]

[tex]V = \int^2_0 \dfrac{x^2}{4}. dx[/tex]

[tex]V =\dfrac{1}{4} \Big [ \dfrac{x^3}{3} \Big ] ^2_0[/tex]

[tex]V =\dfrac{1}{4} \Big [ \dfrac{(2)^3}{3} -0\Big ][/tex]

[tex]V =\dfrac{1}{4} \Big [ \dfrac{8}{3} -0\Big ][/tex]

[tex]\mathbf{V = \dfrac{2}{3}}[/tex]

Answer:

[tex]0.0000026[/tex] is the required decimal form of the given number.

Step-by-step explanation:

Given that,

A number: 2.6 x 10⁻⁶

We need to write this number in standard form.

[tex]2.6\times 10^{-6}=2.6\times \dfrac{1}{10^6}\\\\=\dfrac{26}{10}\times \dfrac{1}{10^6}\\\\=0.0000026[/tex]

So, the required decimal form of the given number is [tex]0.0000026[/tex].

Answer:

25

Step-by-step explanation:

i not fully sure if this is right

Answer:

268

Step-by-step explanation:

400  - 0.33 * 400 = 268

Answer:

the first choice

Step-by-step explanation:

she gets 13 more $ so x would have to be the brothers amout

Answer:

a 5/2; b. 2.5; c 0.9; d. 90%

Step-by-step explanation:

Answer:

b. 9.2 minutes

Step-by-step explanation:

To find the expected waiting time for a random call from the sampie given by using the formula:

[tex]\sum (f(X)) = \dfrac{\sum f (x) \times x}{\sum x}[/tex]

number of calls (x)           waiting time f(x) in minutes         f(x) *(x)

0                                                     0                                         0            

2                                                     3                                         6

4                                                     10                                       40

6                                                     15                                       90  

8                                                     10                                       80

10                                                     6                                       60  

[tex]\sum x = 30[/tex]                                                                          [tex]\sum f(x) *x = 276[/tex]

Therefore:

[tex]\sum (f(X)) = \dfrac{276}{30}[/tex]

[tex]\sum (f(X)) = 9.2[/tex]

Answer:

0.8

Step-by-step explanation:

The limits in the integral of the options are missing. They are :

a). [tex]\frac{d}{dx} \int^2_0 f(x)dx = 0[/tex]

b). [tex]\frac{d}{dx} \int^x_2 f(t)dt = 0[/tex]

c). [tex]$\int^x_2f'(x)dx=f(x)$[/tex]

Solution:

We known that

[tex]$\frac{d}{dx}\int^{g(x)}_{h(x)}f(t)dt = f(g(x))\cdot g'(x)-f(h(x))\cdot h'(x)$[/tex]

a).  [tex]\frac{d}{dx} \int^2_0 f(x)dx[/tex]

     [tex]$=f(2) \cdot \frac{d}{dx}(2) - f(0)\cdot \frac{d}{dx}(0)$[/tex]

     = 0 - 0

     = 0

Hence it is true.

b).   [tex]\frac{d}{dx} \int^x_2 f(t)dt[/tex]

      [tex]$=f(x)\frac{d}{dx}(x)-f(2)\cdot \frac{d}{dx}(2)$[/tex]

      [tex]$=f(x) \cdot 1 -f(2)\times 0 $[/tex]

      = f(x)

Hence it is true.

c). [tex]$\int^x_2f'(x)dx[/tex]

    [tex]$\left[f(x)\right]^x_2 = f(x)-f(2)$[/tex]

                [tex]$\neq f(x) $[/tex]

Hence it is false.

Therefore option a) and b). are true.

Answer:

hahahhahaha

Step-by-step explanation:

abahahahhahah

Answer:

15/17 is 0.88.

and rounded to the nearest tenth is 0.9

have a good day! c:

Answer:

x = 28

Step-by-step explanation:

1/4x = 7

x = 7 • 4

x= 28

the division pass to other place to multiplication

Answer:

A

Step-by-step explanation:

Answer:

4.1469 x 10^5

Step-by-step explanation:

multiply the coefficients and add the exponents

1.202 x 3.45 = 4.1469

10³ x 10² = 10^5

Answer:

The one in the picture is the correct option

Answer:

a

.........................

Answer:

Maybe C. 12ft/1in

Step-by-step explanation:

Answer:

The answer is B. Beta Mart

Step-by-step explanation:

First you convert everything to pints. So that would be:

Alpha - 2 pints is $1

Beta - 8 pints is $3

Gamma - 1 pint is $0.54

Delta - 4 pints is $1.86

Then you find the unit rate of each. That would be:

Alpha - 1 pint is $0.50

Beta - 1 pint is $0.375(0.38)

Gamma - 1 pint is $0.54

Delta - 1 pint is $0.465(0.47)

Whichever unit rate is the least (Beta Mart) has the lowest rate. Even though it says ounces, it would still be the same answer.

The end behavior of the radical function represented by this graph is As x decreases in value , f(x) increases in value , as x increases in value , f(x) increases in value ,  Option A is the correct answer.

A law that relates a dependent and an independent variable is called a Function.

The graph with a function is given

The end behavior has to be predicted

It can be seen from the graph that

as x decreases , as x value is going to negative the value of y is decreasing and going from positive to zero

as x is increasing , The value of y is increasing

Therefore , Option A is the correct answer.

To know more about Function

https://brainly.com/question/12431044

#SPJ2

Answer: I think your answer would be B. 1/9

I hope it's right

Answer:

b

Step-by-step explanation:

I dont understand why the total didnt go down since u kept the 5 but it probably b

Answer: Im pretty sure its True

Step-by-step explanation:

sorry if this doesnt help :(

have a great day :)

If A = {1,2,3,4} and B = {2,3,6,7}.

then, A u B = {2,3} is false

The union of two sets A and B is a set containing the elements in set A or B.

The given sets are:

A  =   {1,2,3,4}

B = {2,3,6,7}

A u B is the set of elements in A or B

Therefore, A u B = {1, 2, 3, 4, 6, 7}

Note that:

A ∩ B = {2, 3}, it is not A u B

Therefore, A u B = {2,3} is false

Learn more on union of sets here: https://brainly.com/question/2166579

Answer:

15/7

Step-by-step explanation:

15/7

15 of 7 is the same as 15 out of 7, or 15/7

I hope this helps! :)

Answer:

The equation of the line in slope-intercept form is:

y = -1/6x + 4

Step-by-step explanation:

The slope-intercept form of the line equation

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

where  

Given the points on the line graph  

Determining the slope between (0, 4) and (6, 3)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 =  [3 - 4] / [6 - 0]

                 = -1 / 6

Thus, the slope of the line = m = -1/6

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 4

Thus, the y-intercept b = 4

now substituting b = 4 and m = -1/6 in the slope-intercept form

y = mx + b

y = -1/6x + 4

 Therefore, the equation of the line in slope-intercept form is:

y = -1/6x + 4

Answer:

Hence, approximately 99.7% of students spend between : $341 and $527

Step-by-step explanation:

According to the empirical rule :

99.7% fall within 3 standard deviations from the mean

Given that :

Mean, μ = 434

Standard deviation, σ = 31

μ ± 3σ

μ - 3σ = 434 - 3(31) = 434 - 93 = 341

μ + 3σ = 434 + 3(31) = 434 + 93 = 527

Hence, approximately 99.7% of students spend between : $341 and $527 on textbooks in a semester.

Answer:

Yes, it is distributive.

Step-by-step explanation:

A distributive property is a rule that states that, multiplying two factors such as a binomial and trinomial would give the same result as multiplying the sum of two addends by the other factor.

Given the following data;

m = 2

n = 6

For equation 1;

18m + 42n = 18(2) + 42(6)

18m + 42n = 36 + 252

18m + 42n = 288.

For equation 2;

6(3m + 7n) = 6(3*2 + 7*6)

6(3m + 7n) = 6(6 + 42)

6(3m + 7n) = 6(48)

6(3m + 7n) = 288

 18m + 42n = 6(3m + 7n) = 288

Therefore, the equation illustrates distributive property.

Answer:

Area = 110.88 m²

Step-by-step explanation:

Total area = area of the two triangles + area of the rectangle

Total Area = ½bh + L*W × ½*by

= ½*7*7.2 + 7.6 × 7.2 + ½*8.6*7.2

= 25.2 + 54.72 + 30.96

Total Area = 110.88 m²