Find the volume of the box​

Answer:

21

Step-by-step explanation:

Evaluate the integral from -3 to 0.

Anti derivative of 4 is 4x.

[tex]4(0) - 4( - 3) = 12[/tex]

Evaluate the next integral from 0 to 3.

Anti derivative of 6-x^2. is

[tex]6x - \frac{ {x}^{3} }{3} [/tex]

Now we do,

[tex](6(3) - \frac{3 {}^{3} }{3} ) - 6(0) - \frac{ {0}^{3} }{3} [/tex]

[tex]18 - 9 - 0[/tex]

[tex]9[/tex]

Add up the areas.

9+12=21

Answer:

Step-by-step explanation:

There are two conditions that need to be in place.

A has too many angles. The answer is not A.

B same as A

C same as A

D doesn't add to 180. Not D

You have no answer unless there is another choice.

Answer:

The interest is 1600

Step-by-step explanation:

Answer:

|F net| = 20.22 N

θ ≈ 19.8°

Step-by-step explanation:

F net = 15N i + 8cos(60°)N i + 8sin(60°)N j

= 15N i + 8×½N i + 8×√3/2N j

= 15N i + 4N i + 4√3N j

= 19N i + 4√3N j

|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N

tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°

Answer:

  sin(A+B) = 297/425

Step-by-step explanation:

This problem involves a couple of Pythagorean triples, and the trig identity for the sine of the sum of angles.

The Pythagorean triples involved are {8, 15, 17} and {7, 24, 25}. These tell us the other trig functions of the given angles:

  sin(A) = 8/17   ⇔   cos(A) = 15/17

  cos(B) = 24/25   ⇔   sin(B) = 7/25

The trig identity we're using is ...

  sin(A+B) = sin(A)cos(B) +cos(A)sin(B)

  sin(A+B) = (8/17)(24/25) +(15/17)(7/25)

  [tex]\sin(A+B)=\dfrac{8\cdot24+15\cdot 7}{17\cdot25}\\\\\boxed{\sin(A+B)=\dfrac{297}{425}}[/tex]

_____

Check

  A = arcsin(8/17) ≈ 28.072°

  B = arccos(24/25) ≈ 16.260°

  sin(A+B) = sin(44.332°) ≈ 0.6988235

  sin(A+B) = 297/425

Answer: B

Step-by-step explanation:

Dilations are not rigid motions.

Answer:

10 gallons of water

Step-by-step explanation:

4 divided by 24 equals 0.167 gallons per hour

0.167 times 60 equals 10 gallons in 60 hoursd

bye lol bts

Step-by-step explanation:

11/2 inches a length (L×b ) and hieght is 6'2 I guess

Answer:

=======================================================

Explanation:

Use your favorite graphing tool to graph the equation. If your teacher doesn't allow you to use graphing software, then you'll have to plug in various x values to find the paired y values. This gives the set of (x,y) points needed to be plotted to form the parabola. The more points you plot, the more accurate the curve.

The graph is shown below. I used GeoGebra to make the graph. It's free graphing software. Desmos is another tool that I recommend.

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

The lowest point on the parabola is the vertex (h,k) = (2,1) which is shown in the graph below.

This is due to the equation being in vertex form y = a(x-h)^2 + k. We see that h = 2 and k = 1.

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

The axis of symmetry is the vertical line that passes through the vertex.

As such, the axis of symmetry equation is simply x = h. So that's how we get to x = 2.

In the graph below, the axis of symmetry is the red dashed line.

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

There aren't any restrictions on x. We don't have to worry about dividing by zero or applying a square root to a negative number.

Therefore, any x value is allowed and the domain is the set of all real numbers.

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

The range however isn't the set of all real numbers. The lowest y can get is y = 1 due to the vertex point. We can have y = 1 or larger

Therefore, [tex]y \ge 1[/tex] is the range.

Step-by-step explanation:

1 inch = 30 miles

so, 12.5 inch = 30*12.5 ===> 375 miles

hence, 12.5 inch = 375 miles

Answer:

I think it is d that's the right answer

the answer is 6/5. It is positive.

Answer:

3 is D    4 is B

Step-by-step explanation:

Source: trust me bro

Answer:

3) A

4) B

Step-by-step explanation:

Just substitute the values given for the variables.

Use your calculator and get your answer.

Answer:

V + F - 2 = E

Step-by-step explanation:

V - E + F = 2 --- add E to both sides

V + F = 2 + E --- subtract 2 from both sides

V + F - 2 = E

Hope this helps! :)

Answer:

10 ≤ x ≤ 10

explanation:

Let the total tomato number be x

so inequality:

6 + 4 ≤ x ≤ 6 + 4

10 ≤ x ≤ 10

Answer:

[tex]n_t \geq 10 [/tex]

Step-by-step explanation:

Here it is given that there are at least 6 tomato plants in Josephine's garden. And she plants 4 more plants . We would like to plot a graph and write a inequality for the given situation.

Representation :-

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(.5,0){17}{\line(0,1){.2}}\put(5,0.1){\vector(-1,0){6}}\put(5.01,0.1){\vector(1,0){4}}\put(-0.5,-0.4){$\sf -2$}\put( 0.2,-0.4){$\sf -1$}\put(.9,-0.4){$\sf 0$}\put(1.4,-0.4){$\sf 1$}\put(1.9,-0.4){$\sf 2$}\put(2.4,-0.4){$\sf 3$}\put(2.9,-0.4){$\sf 4$}\put(3.4,-0.4){$\sf 5$}\put(3.9,-0.4){$\sf 6$}\put(4.4,-0.4){$\sf 7$}\put(4.9,-0.4){$\sf 8$}\put(5.4,-0.4){$\sf 9$}\put(5.8,-0.4){$\sf 10$}\put(6.4,-0.4){$\sf 11$}\put(6.9,-0.4){$\sf 12$}\put(7.4,-0.4){$\sf 13$}\put(7.9,-0.4){$\sf 14$}\put(6,0.1){\circle*{0.2}}\put(6.01,0.4){\vector(1,0){4}}\put(2,2){$\textcopyright\sf RISH4BH $}\end{picture}[/tex]

Let the number of tomatoes be represented by [tex] n_t [/tex] .

We can write the first statment in inequality as ,

[tex]\longrightarrow n_t \geq 6 [/tex]

Since she added 4 more , add 4 to RHS ,

[tex]\longrightarrow n_t \geq 6 + 4 [/tex]

Simplify,

[tex]\longrightarrow \underline{\underline{\boldsymbol{ n_t \geq 10 }}}[/tex]

And we are done!

Answer:

lateral area=37.68(approximately 38)

Total Surface Area =

Step-by-step explanation:

AL=2πrh

AL=2×3.14×6/2×2(Because it is a diameter and we want a radius)

Al=37.68 in squared

.

Answer:

1/4 3/12 2/8

Step-by-step explanation:

Please give brainlyist

Answer: Addition

Additon and subtraction are opposites.

Answer:

I think B.)addition but I am pretty sure

The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let p represent the bacteria population in thousand after d days.

Since each day, the bacteria population grows by a factor of 2, hence:

[tex]p=2^d[/tex]

Hence, d = log₂p represents a logarithmic function

The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

Step-by-step explanation:

The question is about area of a triangle

The formula for a triangle's area is

Area = 1/2 h * b

h = 8

b = 20

Solution

Area = 1/2 20 * 8

Area = 80 ft^2

Herman plans to paint a triangular section of his house. The house is 20 feet long. The height of the triangular section is 8 feet. How many square feet of paint will Herman need?

Given -

Need to find -

Solution -

This question is based on Area of a triangle to solve this question we need to calculate the area of the triangular section of the house.

We know,

[tex]⍟ \large \ \boxed { \rm{ Area_{(triangle)} = \dfrac{1}{2} × b × h }}[/tex]

Where,

Substituting the value of h = 8 feet and b = 20 feet

[tex] \large\sf{ Area_{(triangle)} = \dfrac{1}{2} × 20 × 8 }[/tex]

[tex] \large\rm{ Area_{(triangle)} = \dfrac{1} { \cancel{2}} × \cancel{20 }× 8 }[/tex]

[tex] \large\rm{Area_{(triangle)} = 10 × 8} [/tex]

[tex] \large \red{\underline{\color {red} \boxed{ \sf{Area_{(triangle)} = 80 \: {feet}^{2 }} }}}[/tex]

Hence, Herman need 80 square feet of paint to paint the triangular section of his house

[tex] \rule{182mm}{4pt}[/tex]

Formulas of Area

Answer:

164 cm²

Step-by-step explanation:

Take the 2 shapes and find the areas

Triangle area = (bh)/2

                         13 × 8 × 0.5 = 52

Rectangle area = 16 × 7 = 112

Add up the areas

112 + 52 = 164

Answer: 20x^4-39x^3+26x^2-6x

Answer:

6/9 inches

Step-by-step explanation:

3/1 × 2/3 × 1/3 =  6/9 inches

Step-by-step explanation:

the answer is 2.67 inches

Divide it by 1,000. One kilogram equals one thousand grams. This means that to get a pound of gram, you only have to divide the gram by 1,000.

Answer:

11.6

Step-by-step explanation:

11.6-8=3.6

3.6x5=8