I. Read each question carefully, then write the letter of the correct answer.
1. What is the relationship of the volume between a prism and a pyramid of the same dimensions?
A. the volume of the pyramid is 2/3 of the volume of the prism
B. the volume of the pyramid is 3/3 of the volume of the prism
C. the volume of the pyramid is 1/3 of the volume of the prism
D. the volume of the pyramid is 3/2 of the volume of the prism
2. The volume of a cone is the volume of a cylinder if both are of the same dimensions.
A. double B. thrice
C. twice
D. 4 times
3. How many cones can fill the whole sphere with the same dimension?
A. 1
B. 2
C.3
D.4
4. If the volume of a cylinder is 120 m3, what will be the volume of a cone with the same dimension?
A.180m3
B. 60 m3
C. 40 m3
D. 30 m3
5. What is the length of the edge of a cube if it has a volume of 27 cubic inches?
A. 9 in
B. 6 in
C. 3 in
D. 2 in

Answers

Answer 1

Answer:

The answer for number 1 is C


Related Questions

find all possible values for each expression

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

The sine function is negative only for angles greater than 180°. This eliminates choice B.

The sine function is periodic with a period of 360°, eliminating choices A and C.

The only viable choice is D, which is the correct one.

Determine whether each of the binary relation R defined on the given sets A is reflexive, symmetric, antisymmetric, or transitive. If a relation has a certain property, prove this is so; otherwise provide a counterexample to show that it does not. (a) A = Z: (a, b) E R if and only if ab > 0. (b) A = R: (a, b) R if and only if a^2=b^2 (c) A = N: (a, be R if and only if a/b is an integer.

Answers

Answer:

In explanation

Please let me know if something doesn't make sense.

Step-by-step explanation:

a)

*This relation is not reflexive.

0 is an integer and (0,0) is not in the relation because 0(0)>0 is not true.

*This relation is symmetric because if a(b)>0 then b(a)>0 since multiplication is commutative.

*This relation is transitive.

Assume a(b)>0 and b(c)>0.

Note: This means not a,b, or c can be zero.

Therefore we have abbc>0.

Since b^2 is positive then ac is positive.

Since a(c)>0, then (a,c) is in R provided (a,b) and (b,c) is in R.

*The relation is not antisymmretric.

(3,2) and (2,3) are in R but 3 doesn't equal 2.

b)

*This relation is reflective.

Since a^2=a^2 for any a, then (a,a) is in R.

*The relation is symmetric.

If a^2=b^2, then b^2=a^2.

*The relation is transitive.

If a^2=b^2 and b^2=c^2, then a^2=c^2.

*The relation is not antisymmretric.

(1,-1) and (-1,1) is in the relation but-1 doesn't equal 1.

c)

*The relation is reflexive.

a/a=1 for any a in the naturals.

*The relation is not symmetric.

Wile 4/2 is an integer, 2/4 is not.

*The relation is transitive.

If a/b=z and b/c=y where z and y are integers, then a=bz and b=cy.

This means a=cyz. This implies a/c=yz.

Since the product of integers is an integer, then (a,c) is in the relation provided (a,b) and (b,c) are in the relation.

*The relation is antisymmretric.

Assume (a,b) is an R. (Note: a,b are natural numbers.) This means a/b is an integer. This also means a is either greater than or equal to b. If b is less than a, then (b,a) is not in R. If a=b, then (b,a) is in R. (Note: b/a=1 since b=a)

QUICK PLEASE HELPPPPPPPPPPPP

Answers

Answer:  16

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

Explanation:

Set the expression equal to 100 and get everything to one side

[tex]d^2 - 12d + 45 = 100\\\\d^2 - 12d + 45 - 100 = 0\\\\d^2 - 12d - 55 = 0\\\\[/tex]

Now use the quadratic formula. We'll plug in a = 1, b = -12, c = -55.

[tex]\ d = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\ d = \frac{-(-12)\pm\sqrt{(-12)^2-4(1)(-55)}}{2(1)}\\\\\ d = \frac{12\pm\sqrt{364}}{2}\\\\\ d \approx \frac{12\pm19.07878403}{2}\\\\\ d \approx \frac{12+19.07878403}{2}\ \text{ or } \ d \approx \frac{12-19.07878403}{2}\\\\\ d \approx \frac{31.07878403}{2}\ \text{ or } \ d \approx \frac{-7.07878401}{2}\\\\\ d \approx 15.53939201\ \text{ or } \ d \approx -3.53939201\\\\d \approx 15.54 \ \text{ or } \ d \approx -3.54[/tex]

We'll ignore the negative d value as we can't have a negative number of days.

This means d = 15.54 is the only approximate solution we'll consider.

If we plugged in d = 15, then,

d^2 - 12d + 45

(15)^2 - 12(15) + 45

90

This tells us that 90 masks were sold on day d = 15.

Now try d = 16

d^2 - 12d + 45

(16)^2 - 12(16) + 45

109

We see that 109 masks were sold on day d = 16. Somewhere between those days, 100 masks were sold. At the end of the 15th day, we got to 90. So in the middle of day 16 is when we reach the exact 100 mark we're after.

In short, we would round d = 15.54 up to d = 16 so that we clear the hurdle.

In other words, if you rounded d = 15.54 to d = 15, then you'd be 10 masks short of the goal. Besides, 15.54 rounds to 16 when rounding to the nearest whole number.

Please help me on this!!!!

Answers

F(1) is saying the value of x is 1

Look at the graph where x is 1 and find the y value of where the line is.

At x = 1, the line is at y = 1 ( there is actually a dot showing you the location.

The answer is 1

1.4 meters is the same as

Answers

Answer:

Step-by-step explanation:

1.4 m = 1.4 * 100 = 140.0  = 140 cm

Line c has an equation of y=-1/6x+5. Perpendicular to line c is line d, which passes through the point (-3,-8). What is the equation of line d

Answers

Answer:

The equation of line d is [tex]y + 8 = 6(x + 3)[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, is given by:

[tex]y - y_0 = m(x - x_0)[/tex]

In which the slope is m and the point is [tex](x_0,y_0)[/tex]

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to y=-1/6x+5

Slope of - 1/6, so:

[tex]-\frac{1}{6}m = -1[/tex]

[tex]m = 6[/tex]

So

[tex]y - y_0 = 6(x - x_0)[/tex]

Passes through the point (-3,-8).

This means that [tex]x_0 = -3, y_0 = -8[/tex]. So

[tex]y - y_0 = 6(x - x_0)[/tex]

[tex]y - (-8) = 6(x - (-3))[/tex]

[tex]y + 8 = 6(x + 3)[/tex]

The U.S. Federal Seed Act establishes germination rates for various fruit and vegetable seeds. Watermelon seeds are to meet a 70% germination standard. A skeptical gardener who has not had very good luck planting watermelons believes that the seed company he purchases seeds from is not adhering to the 70% federal mandate. Once a week for 12 weeks, he purchases a pack of 10 watermelon seeds to act as his sample. He plants the seeds in a greenhouse with good soil to maintain a consistent temperature and watering routine. He finds that the germination rate for the company's watermelon seeds is 55%. Compute a 98% confidence interval to estimate the proportion of watermelon seeds that germinate. Be sure to interpret your interval in the context of the problem.

Answers

Answer:

The 98% confidence interval to estimate the proportion of watermelon seeds that germinate is (0.4443, 0.6557). This means that we are 98% sure that the true proportion of all watermalong seeds of the company that germinate is between these two values, which means that there is good evidence that the proportion is below the 70% standard.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

Once a week for 12 weeks, he purchases a pack of 10 watermelon seeds to act as his sample. He plants the seeds in a greenhouse with good soil to maintain a consistent temperature and watering routine. He finds that the germination rate for the company's watermelon seeds is 55%.

This means that [tex]n = 12*10 = 120, \pi = 0.55[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 - 2.327\sqrt{\frac{0.55*0.45}{120}} = 0.4443[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 + 2.327\sqrt{\frac{0.55*0.45}{120}} = 0.6557[/tex]

The 98% confidence interval to estimate the proportion of watermelon seeds that germinate is (0.4443, 0.6557). This means that we are 98% sure that the true proportion of all watermalong seeds of the company that germinate is between these two values, which means that there is good evidence that the proportion is below the 70% standard.

what would my grade be if i got 68% on my exam?

Answers

Your grade would be a d+ try to do better next time

Answer:

I am not to sure how the actual grade was calculated, maybe there are some other factors to it, but from the three grades you got, the weighted total is 70.2%, if we add the weighted average of 68 on the exam (with the weight being 20%), we get 83.3%.

Find each event probability

Answers

Answer:

Event 4 (0%), Event 2 (45%), Event 3 (80%), Event 1 (100%)

Step-by-step explanation:

find the equation of the line passing through points A(3,4) and B(1,10)​

Answers

Answer:

y = -3x + 13

Step-by-step explanation:

First, find the slope:

[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{4-10}{3-1}\\\\m=\frac{-6}{2}\\\\m=-3[/tex]

Finally, find the equation:

[tex]y-y_1=m(x-x_1)\\\\y-4=-3(x-3)\\\\y-4=-3x+9\\\\y=-3x+13[/tex]

Which of the following expressions have a difference of 5? Check all that apply.
VX
0-3-(-8)
-2-3
1-(-4)
07-(-2)

Answers

9514 1404 393

Answer:

  A, C

Step-by-step explanation:

A: -3 -(-8) = -3 +8 = 5

B: -2 -3 = -5

C: 1 -(-4) = 1 +4 = 5

D: 7 -(-2) = 7 +2 = 9

__

Differences A and C are 5.

Answer: A: -3- (-8)

B:1 -(-4)

Step-by-step explanation:

in A your subtracting them in B your adding them

What is 1/3 of 30% of 5/6 of 0.6 of 12?

Answers

Step-by-step explanation:

[tex] \frac{1}{3 } \times \frac{30}{1} = 10 \\ \\ \frac{10}{1} \times \frac{5}{6} = 8.33 \\ \\ \frac{833}{100} \times \frac{6}{10} = 4.998 \\ \\ \frac{4998}{1000} \times \frac{12}{1} = 59.976[/tex]

Help help help help help

Answers

Answer:

m(∠y) = 64°

Step-by-step explanation:

From the figure attached,

m(∠e) = 90°

m(∠b) + 67° = 180° [Linear pair of angles]

m(∠b) = 180 - 67

          = 113°

m(∠c) + 75° = 180°  [Linear pair of angles]

m(∠c) = 105°

m(∠a) = m(∠d)

By the property of a polygon,

Sum of the interior angles of a polygon is given by,

Sum of interior angles = (n - 2) × 180°

Here, n = number of sides of the polygon

For n = 5,

Sum of interior angles = (5 - 2)×180°

                                     = 540°

m(∠a) + m(∠b) + m(∠c) + m(∠d) + m(e) = 540°

2m(∠d) + 113° + 105° + 90° = 540°

2m(∠d) + 308 = 540°

2m(∠d) = 540 - 308

m(∠d) = 116°

m(∠d) + m(∠y) = 180°

m(∠y) + 116° = 180° [Linear pair of angles]

m(∠y) = 64°

Solve for x in the equation x2 - 4x-9 = 29.

Answers

Answer:

[tex]x=2+\sqrt{21}\\\\x=2-\sqrt{21}[/tex]

Step-by-step explanation:

One is given the following equation;

[tex]x^2-4x-9=29[/tex]

The problem asks one to find the roots of the equation. The roots of a quadratic equation are the (x-coordinate) of the points where the graph of the equation intersects the x-axis. In essence, the zeros of the equation, these values can be found using the quadratic formula. In order to do this, one has to ensure that one side of the equation is solved for (0) and in standard form. This can be done with inverse operations;

[tex]x^2-4x-9=29[/tex]

[tex]x^2-4x-38=0[/tex]

This equation is now in standard form. The standard form of a quadratic equation complies with the following format;

[tex]ax^2+bx+c[/tex]

The quadratic formula uses the coefficients of the quadratic equation to find the zeros this equation is as follows,

[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]

Substitute the coefficients of the given equation in and solve for the roots;

[tex]\frac{-(-4)(+-)\sqrt{(-4)^2-4(1)(-38)}}{2(1)}[/tex]

Simplify,

[tex]\frac{-(-4)(+-)\sqrt{(-4)^2-4(1)(-38)}}{2(1)}\\\\=\frac{4(+-)\sqrt{16+152}}{2}\\\\=\frac{4(+-)\sqrt{168}}{2}\\\\=\frac{4(+-)2\sqrt{21}}{2}\\\\=2(+-)\sqrt{21}[/tex]

Therefore, the following statement can be made;

[tex]x=2+\sqrt{21}\\\\x=2-\sqrt{21}[/tex]

andrea is planning a birthday party and wants to include a cheese board with the desserts.
she reads online that she should have 110g of cheese per person ,but the cheese is sold in blocks of 500g
How many blocks of cheese should she buy to ensure that each guest can have 110g of cheese?​

Answers

Step-by-step explanation:

how many people in the party please ?

PLS HELP LAST THING I NEED FOR MATH THIS SCHOOL YEAR

ANSWER WITH STEP BY STEP SOLOUTION/PROCESS = BRAINLIEST ANSWER AND 5* VOTE

TROLLS = WILL GET ALL THEIR ANSWERS AND QUESTIONS REPORTED

PART 2, PART 1 ALREADY POSTED CHECK PROFILE​

Answers

Answer:

B = 25 because 180-25-130 = 25 and all angles within triangle add to 180 degrees

a = 6  because the triangle is isosceles and we can see symmetry and draw this to prove on two opposite lines, therefore we can now find height easier.

c = 10. 876  because 130/2 = 65 degree and with new central height we can find Right Angle and using 6 x sin (65) = 5. 438 then we multiply by 2 to find c  

Then all you have to do is re-write and round to the nearest 10th and check the units and write degree sign where required.

Step-by-step explanation:

How many ounces are equivalent to 9 pounds?(1pound=16 ounces)

Answers

Answer: 144

Step-by-step explanation:

If 1 pound is 16 ounces then you have to do 9 X 16

9x16 = 144

Therefore the answer is 144 ounces

Hope this helped!

pls help asap!!

For the following geometric sequence, find the recursive formula.

(-80,20,-5...)

Answers

Answer:

asap!!

For the following geometric sequence, find the recursive formula.

(-80,20,-5...)

Step-by-step explanation:

asap!!

For the following geometric sequence, find the recursive formula.

(-80,20,-5...)

Mark Brainliest please

Answer is attached as image

Debbie did a survey of how many states the members of her class had visited. The results were: 10, 15, 23, 2, 21, 31, 14, 10,
8.17, 11, 19.8.42.15. 22. 6, 34, 19.3, 24,
What is the five-number summary for this set of data?

Answers

Answer:

Step-by-step explanation:

11 22 6 34 19

Activity: Graph Me!

Organize the following data and present it using appropriate graphs or charts. Explain
why you are using such a graph in presenting your data.

a. The following table shows the favorite subjects of 500 students of Mountain Heights High School

Favorite Subjects of 500 students of Mountain Heights High School 

b. Mrs. Soni's monthly income is Php 44 400. The monthly expenses of his family on various items are given below.

Monthly Expenses of Mrs. Soni's Family ​

Answers

Answer:

I can graph stuff in different ways. but place share the mentioned tables. the data is missing.

will edit this placeholder answer asap when you show wich data to graph

Find the missing term given below.
14,916,2536,?

Answers

4964

if this helps pls give brainliest thank youuuu

Can someone please answer quickly <3

Answers

I think I just answered you before but 63.8% for this one I think

given that abc=def what is the measure of d

Answers

Answer:

C. 47 deg

Step-by-step explanation:

m<A = 180 - 94 - 39 = 47

m<D = m<A = 47

Force: F = MA; Solve for m.

Answers

mass = force / area

this is second law of motion ( Newton's 2nd law)

[tex]\longrightarrow{\blue{ m = \frac{F}{a} }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Explanation}}{\red{:}}}}}[/tex]

F = ma

➺ m = [tex]\frac{F}{a} [/tex]

where,

F = Force

m = mass

a = acceleration

"F = ma" is Newton's second law of motion, which states that force is equal to mass times acceleration.

The SI unit of force is newton, symbol N.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

a racer called the whirlwind. Its poster says that in 1/20 hour it covers 7/10 mile. What is the Whirlwind’s speed in miles per hour?

Answers

Answer:

Its speed is 14 mph.

Step-by-step explanation:

Given that regarding racer called The Whirlwind, its poster says that in 1/20 hour it covers 7/10 mile, to determine what is the Whirlwind’s speed in miles per hour the following calculation must be performed:

1/20 x 60 = 0.05 x 60 = 3 minutes

7/10 = 0.7

Therefore, every 3 minutes the Whirlwind travels 0.7 miles.

60/3 = 20

0.7 x 20 = 14

Thus, in an hour it travels 14 miles, with which its speed is 14 mph.

Write the word or phrase that best completes each statement or answers the question. Solve the problem.
Two kinds of cargo, A and B, are to be shipped by truck. Each crate of cargo A is 50 cubic feet in volume and weighs 200 pounds, whereas each crate of cargo B is 10 cubic feet in volume and weighs 360 pounds. The shipping company charges $75 per crate for cargo A and $100 per crate for cargo B. The truck has a maximum load limit of 7200 pounds and 1000 cubic feet. How many crates of each cargo should be shipped on each truck in order to satisfy the load limits and yield the greatest charges? What is the greatest charge?

Answers

Answer:

z(max)  = 2350

x₁  =  18          x₂  =  10

Step-by-step explanation:

                             Vol (ft³)         W (p)    Income ($)

Cargo A  (x₁)             50              200          75

Cargo B  (x₂)            10               360          100

Max load limit       1000            7200

Objective Function

z  =  75*x₁   +  100*x₂

Constraints:

Volume constraint:

50*x₁  +  10*x₂  ≤ 1000

Weight constraint:

200*x₁  +  360*x₂  ≤ 7200

Model:

z  =   75*x₁   +  100*x₂       to maximize

Subject to:

50*x₁  +  10*x₂  ≤ 1000

200*x₁  +  360*x₂  ≤ 7200

x₁  ≥  0        x₂  ≥ 0    x₁  and x₂  integers

After 6 iterations with an on-line solver optimal solution is:

z(max)  = 2350

x₁  =  18          x₂  =  10

2 units
5
2 units
2 units
8 units
2 units
2 units
2 units
6 units
The area of the figure is
square units.

Answers

80 square units
Divide the figure into 4 small triangles, 2 rectangles, and one big rectangle on the center.

Area of ONE small triangle:
1/2 • 2 • 2 = 2 square units
Multiply that by 4 because we have 4 small triangles: 2 • 4 = 8 square units

Area of ONE small rectangle:
2 • 6 = 12 square units
Multiply that by 2 bcos we have 2 of those rectangles: 12 • 2 = 24 square units

Area of the big rectangle on the center:
6 • 8 = 48 square units

ADD the area of the big rectangle, 4 small triangles, and 2 small rectangles:
48 + 24 + 8 = 80

FINAL ANSWER: 80 square units

BRAINLIEST WILL BE APPRECIATED IF I GOT THIS RIGHT (pls comment me back if my answer was correct)
Have a nice day -SpaceMarsh

The quotient of 365.085 and 79.8

Answers

Answer:

4.575

Step-by-step explanation:

365.085/79.8=4.575

reduce 1/2 × 16/9 is to lowest form​

Answers

Answer:

The correct answer will be "[tex]\frac{8}{9}[/tex]".

Step-by-step explanation:

The given expression is:

= [tex]\frac{1}{2}\times \frac{16}{9}[/tex]

By applying multiplication, we get

= [tex]\frac{16}{18}[/tex]

= [tex]\frac{8}{9}[/tex]

Thus, the above is the lowest form.

Which graph shows a dilation

Answers

Answer:

show the graphs?

Step-by-step explanation:

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