3. In the accompanying diagram, a rectangular container with the dimensions 10 inches by 15 inches by 20 inches is to
be filled with water, using a cylindrical cup whose radius is 2 inches and whose height is 5 inches. What is the maximum
number of full cups of water that can be placed into the container without the water overflowing?

Answer:

28?

Step-by-step explanation:

Answer:

-3, -1, 1

Step-by-step explanation:

The values of x when f(x) = 0 are the points on the graph when the curve intercepts the x-axis.

From inspection of the graph, the curve intercepts the x-axis at

x = -3,  x = -1  and  x = 1

To convert -21/30 in the decimal form, we will neglect the negative sign and start dividing it in the normal manner and after the answer comes we will reunite the negative sign with the answer.

Kindly refer to the attachment for division.

Hence, -21/30 = -0.7

Answer:

Your answer is 0.7

Step-by-step explanation:

step one=21/30

Step two=21÷30

Answer=0.7

I hope that will help you

Step-by-step explanation:

Slope m=4

Y intercept b=(-5)

formula f(x)=4x-5

If u need how to solve do let me know

Answer

Parallelogram: A quadrilateral with 2 pairs of parallel sides. Rectangle: A parallelogram with 4 right angles.

The data given relating to the probability shows that the total number of customers will be 27300.

The total number of customers will be:

= 24300 + 3000

= 27300

The number of customers that applied for a home mortgage will be:

= 2430 + 150

= 2580

In conclusion, the total number of customers will be 27300.

Learn more about probability on:

https://brainly.com/question/24756209

Answer:

  (c)  f(x) = 500(5^x)

Step-by-step explanation:

An exponential function is one that has the independent variable (x) in the exponent. The initial value of an exponential function (or any function) is the value when x=0.

__

You are looking for a function with x in the exponent, and with an initial value of 500. Eliminate answer choices that don't have x in the exponent. Evaluate the remaining choices for x=0 and see which gives you a value of 500.

  f(x) = 100(5)^x   ⇒   f(0) = 100·1 = 100 ≠ 500

  f(x) = 100(x^5) . . . not an exponential function

  f(x) = 500(5)^x   ⇒   f(0) = 500·1 = 500 . . . . . the function you're seeking

  f(x) = 500(x^2) . . . not an exponential function

Answer:

a

Step-by-step explanation:

Answer:

10,582 algae plants

Step-by-step explanation:

10,582 algae plants. You have to add 810 and 9,772 to get 10,582 algae plants.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The value of third side should be lesser than the the sum of other two sides ~

[tex]\qquad \sf  \dashrightarrow \:x < 2.8 + 2.8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x < 5.6[/tex]

and, value of third side should also be greater than the difference of other two sides ~

[tex]\qquad \sf  \dashrightarrow \: x> 2.8 - 2.8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x > 0[/tex]

Now, combine the two inequalities, we will get ~

[tex]\qquad \sf  \dashrightarrow \:0 < x < 5.6[/tex]

I hope you got the required Answer ~

Answer:

Step-by-step explanation:

17) In parallelogram, adjacent angles are supplementary (add up to 180)

⇒∠A +  ∠D = 180

5x + 30 + x = 180  

5x +x + 30 = 180    {Combine like terms}

     6x + 30 = 180 {Now, subtract 30 from both sides}

6x + 30 - 30 = 180 - 30

             6x  = 150

Now divide both sides by 6

              x = 150/6

              x = 25

∠A = 5x + 30

     = 5*25 + 30

     = 125 + 30

     = 155

In parallelogram, opposite angles are congruent.

∠C = ∠A

∠C = 155°

18)In parallelogram, adjacent angles are supplementary (add up to 180)

⇒∠A +  ∠D = 180

3x + 4 + x = 180  

3x +x + 4 = 180    {Combine like terms}

     4x + 4 = 180 {Now, subtract 4 from both sides}

4x + 4 - 4 = 180 - 4

             4x  = 176

Now divide both sides by 4

              x = 176/4

x =44

19) In parallelogram, adjacent angles are supplementary (add up to 180)

⇒∠GAC +  ∠ACF = 180

125 + ∠ACF  = 180  

       Now, subtract 125 from both sides

∠ACF = 180 - 125

∠ACF = 55

21) In parallelogram, adjacent angles are supplementary (add up to 180)

∠CFG + ∠ACF = 180

2w +30 + w + 15 = 180

2w +w + 30+ 15 = 180

          3w + 45   = 180

                      3w  = 180 - 45

                      3w = 135

                        w = 135/3

w = 45

∠ACF = w + 15

           = 45 + 15

∠ACF =  60

21) In parallelogram, opposite sides are congruent.

GF = AC

4x - 14 = 2x + 2

       4x = 2x + 2 + 14

       4x = 2x +  16

4x - 2x  = 16

    2x    = 16

          x = 16/2

         x = 8

22) In parallelogram, the diagonals bisect each other.

XC = GX

3y - 3  =2y + 2

       3y = 2y + 2 + 3

       3y = 2y + 5

  3y - 2y= 5

         y = 5

23) The length of the  middle segment of trapezium is half the sum of the two parallel sides.

[tex]\dfrac{b_{1}+b_{2}}{2}=110\\\\\\b_{1}+b_{2}=110*2\\[/tex]

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

The Length of the third side of a triangle shouldn't be greater than the some of other two sides,

So, let the side be x

[tex]\qquad \sf  \dashrightarrow \: x < 32 + 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: x < 42[/tex]

And hence, the third side should be less than 42 cm, therefore the only option that doesn't satisfy the condition is option D

Therefore, 44 cm can't be a side of that Triangle.

Answer:

Step-by-step explanation:

Answer:

  x/y = 10^3 = 1000

Step-by-step explanation:

The rules of logarithms tell you ...

  log(x/y) = log(x) -log(y)

__

Here, we have ...

  log(x/y) = log(x) -log(y)

  = (3 +log(y)) -log(y) = 3 . . . . . . . . substittute for log(x)

Taking the antilog, we get ...

  log(x/y) = 3

  x/y = 10^3 = 1000

_____

Additional comment

The expression log(x) is often used to refer to the "common log" of x, which is the logarithm to the base 10. This lets us avoid the cumbersome notation log_10(x).

In more formal mathematics, log(x) may be used to refer to the natural log. The distinction is usually made in high school algebra by referring to the natural log using ln(x).

Answer:

Correct answer: B

Step-by-step explanation:

Syntax: in piecewise functions such as the one attached, the "if:" section shows the domain, or x-axis values which that function pertains to.

In the graph, you can see that the graph is defined for [tex]-3\leq x < 1[/tex] (not-including 1 because there is an open hole there, indicating it is not part of the domain), and [tex]2\leq x\leq 4[/tex].

Now that we know the domain, we can attach it to the graphs that lie on those domains.

We see that the leftmost line appears to have a positive slope and a negative y-intercept, and that the second line should have a positive y-intercept and a negative slope.

At this point, you can just start crossing off answers that don't meet this criteria.

Cheers!!

[tex]|6m-2|=0\\\\\implies 6m-2 =0~~~~~~~~~~~~~;[\text{If}~ |x| = 0 ~\text{then}~ x = 0]\\\\\implies m = \dfrac 26 = \dfrac 13[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{2}{3}[/tex]

We need. the denominator as 12

So

[tex]\\ \rm\rightarrowtail \dfrac{2(4)}{3(4)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{8}{12}[/tex]

Answer:

[tex]\sf \dfrac23=\dfrac{2 \times 4}{3 \times 4}=\dfrac{8}{12}[/tex]

Step-by-step explanation:

To get from 3 to 12, we must multiply 3 by 4 since 3 x 4 = 12

Therefore, multiply both the numerator and denominator by 4:

[tex]\sf \dfrac23=\dfrac{2 \times 4}{3 \times 4}=\dfrac{8}{12}[/tex]

Answer:

Right angle (90°)

Step-by-step explanation:

Because, main Street and Oak Street are crossing each other at 90°.

Hope it helps you in your learning process.

Answer:

right angle

Step-by-step explanation:

because they're perpendicular lines

Step-by-step explanation:

it is negative so the slope must go downwards from left to right. since it is 1/3, for every 3 to the right, you go one down.

Answer:

24

Step-by-step explanation:

The the triangles are similar, the lengths of corresponding sides are in proportion.

15/20 = 18/n

3/4 = 18/n

1/4 = 6/n

n = 4 × 6

n = 24

Answer:

n = 24

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio.

[tex]\dfrac{n}{18}=\dfrac{20}{15}\\\\\\n=\dfrac{20}{15}*18\\\\\\n = 4*6\\\\n = 24[/tex]

Answer:

a=5 b=7 c=9

hope I helped :)

Answer:

$0.20

Step-by-step explanation:

3.95/20 = 0.1975

0.1975 would round up to 0.20

Answer:

$0.1975

Step-by-step explanation:

Do $3.95 divided by 20 so you can find the proportion of 1 ounce

Answer:

The sequence is arithmetic because the terms have a common difference

Step-by-step explanation:

The difference between each term in the sequence is constant. The sequence shown below, considering the y values of the coordinates, are 9, 7.5, 6, 4.5, 3, 1.5. Each term has a difference of 1.5, thus making all terms have a common difference, and making the sequence arithmetic.

Answer:

20

Step-by-step explanation:

from the numbers i was seeing my answer is 20 i am so sorry if it not right.

7

[tex]Based\ on\ the\ given\ conditions,\ formulate:[/tex]

[tex]14\div 2[/tex]

[tex]\frac{14}{2}[/tex]

Creoss out the common factor

[tex]7[/tex]

I hope this helps you

:)

Answer:

coefficient..........

Answer:

Step-by-step explanation:

The area of a rectangle is length x width.

Given:

length = 175.23m

width = 67.5m

Area = 175.23m x 67.5m = 11828.025[tex]m^{2}[/tex]

Answer:

A. 20 / 7 = 3 (or 2.85)

B. 55 / 7 = 8 (or 7.85)

Brainliest is appreciated!

_ daintysword.mp4

Answer:

A.3

B.8

Step-by-step explanation:

this is the answer

Answer; 60

Step-by-step explanation:

solution:

here,

4 cars = 12 marbles

1 car = 12/4. = 3 marbles

then,

20 cars = 3(20) marbles

= 60 marbles

We can make this into a fraction  4/12 = 20/x

Then, we will solve for x

4x = 240    cross multiply

x = 60

Joe collects 60 marbles after collecting 20 cars.

The Multiplicative Inverse Property is being used.

Check the picture below.

the lengths of the corresponding horizontal lines is the same on each figure, 4 and 1.

the slope in red is the same for both figures, and the slope in yellow is the same on each figure, meaning the slanted sides on each figure is also the same length.

so the lengths in each figure is the same and the angles are also the same, so the shapes are congruent, and since they're congruent the scale factor will simply be 1 to 1 or 1:1, since neither is smaller or larger than the other.

Answer:

the correct answer is B. $336

Step-by-step explanation:

you first add 319 and 28. Then, you subtract the product with 11.

To be honest I think the answer is B