Question 9

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Answer:

312π mm3

Step-by-step explanation: yes

The required volume of the composite figure of the sphere on the top of the cone is 312π mm³. Option c is correct

The sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters. The volume of the composite figure is to determine.

Volume is defined as the ratio of the mass of an object to its density.

Volume of composite figure =  Volume of semi-sphere  + Volume of cone
                                              =   2/3πr³ + 1/3πr²h
                                              =  2/3*6³π + 1/3*6²*14π
                                              =   312π mm³

Thus, the required volume of the composite figure of the sphere on the top of the cone is 312π mm³.

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Answer:

To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.

Step-by-step explanation:

Explenation:

Logarithm

log

b

x

is the exponent of a power with base

b

which gives the number under

log

sign (

x

).

In this example we can say that:

log

4

16

=

2

because:

4

2

=

16

Step-by-step explanation:

In my view the answer is 2,048

I am not sure about this answer..so if it is mistake then sorry

Answer:

[tex]16^\frac{3}{2} = 64[/tex]

Step-by-step explanation:

[tex]16^\frac{3}{2}[/tex]

Factor the number: [tex]16 = 4^2[/tex]

[tex]= (4^2)^{\frac{3}{2} }[/tex]

Apply exponent rule: [tex](a^b)^c=a^b^c[/tex]

[tex]\left(4^2\right)^{\frac{3}{2}}=4^{2\cdot \frac{3}{2}}=4^3[/tex]

[tex]= 4^3[/tex]

Refine:

[tex]=64[/tex]

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Thank you, have a good day! =)

Answer

D because i had it before

Answer:

B

Step-by-step explanation:

You need to do 4*2 which is 8. Then you need to subtract 15-8 to get 7.

Hope this helps.

Answer: b

Step-by-step explanation:

Answer:

[tex] y = 40x +100[/tex]

where x is number of  weeks and y is weight in grams.

For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:

The predicted weight of the rat at birth

And the reason is because the starting value for the weigth represent the weight for the birth

Step-by-step explanation:

For this case we have the following equation given:

[tex] y = 40x +100[/tex]

where x is number of  weeks and y is weight in grams.

For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:

The predicted weight of the rat at birth

And the reason is because the starting value for the weigth represent the weight for the birth

The total surface area of the rectangular pyramid is the sum of the whole area. Therefore, the total surface area is 108. 6cm²

The surface area of the rectangular pyramid is the sum of the whole areas.

The total surface area is the sum of the whole area.

A rectangular pyramid has 4 triangular faces and a rectangular base.

Therefore,

total surface area = 7.8 cm² + 7.8 cm² + 16.5 cm² + 16.5 cm² + 60 cm²

total surface area = 108.6 cm²

Therefore, the total surface area of the rectangular prism is 108. 6cm²

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Answer:

csc (- 30)° = - 2

Step-by-step explanation:

Using the trigonometric relationship

csc x = [tex]\frac{1}{sinx}[/tex] and the exact value sin30° = [tex]\frac{1}{2}[/tex]

sin(- 30)° = - sin30° = - [tex]\frac{1}{2}[/tex], thus

csc (- 30)° = [tex]\frac{1}{-\frac{1}{2} }[/tex] = - 2

Answer:

$10

Step-by-step explanation:

4%  of 500 is 5 dollars  and two years is 10

Answer:

6.08 ft

Step-by-step explanation:

Volume of cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h

Radius = [tex]\sqrt{ \frac{V}{\frac{1}{3}\pi h } }[/tex]

[tex]R = \sqrt{\frac{376.8}{\frac{1}{3} \pi 10} }[/tex]

[tex]R = \sqrt{\frac{376.8}{10.47} }[/tex]

[tex]R = \sqrt{36.98}[/tex]

[tex]R = 6.08[/tex]

Answer:

4-3x=x+10

Step-by-step explanation:

4- (four less)

3x (3 times a number)

= (is the same as)

x (the number)

+10 (plus ten)

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Answer:

It is C i just had that question

Step-by-step explanation:

Answer:

just c i had that question too

Step-by-step explanation:

Answer:16

Step-by-step explanation:

5 times 2 is 10. 10 times 0 is 0. 1 times 6 is six

Answer:

$480 in interest to make a total of $1,480. She will not have enough money

Step-by-step explanation:

I=P.r.t

=1000*0.02*24

=$480

Total after 2 years: 1000+480=$1,480

Answer:

I believe that the answers are B & C

Step-by-step explanation:

Hope this helps! Please pick me as brainliest!

Answer:

r=3 ft

Step-by-step explanation:

it is similarity of two triangles

one

perpendicular side=10 ft

base=10/2=5 ft

second

perpendicular side=10-4=6 ft

Base r=?

[tex]\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft[/tex]

The solution is, the value is 35 degrees, is the measure of ZXYZ.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given diagram, we get,

Using the intersecting secant theorem:

Angle xyz = 1/2( wz- XX)

Xyz = 1/2(175-105)

Xyz = 1/2(70)

Xyz= 35

The solution is, the value is 35 degrees, is the measure of ZXYZ.

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Answer: 8

Step-by-step explanation:

So the right answer is 8units

Look at the attached picture

hope it will help you...

Good luck on your assignment

Answer:

Line B

Step-by-step explanation:

Line b is the the correct answer because the line has the most dots near or on it

Answer:

A

Step-by-step explanation:

If you were to multiply the top by 7 then add you would cancel out the x and if you were to multiply the bottom by 6 then when you use the subtraction method you multiply the top by negative and if that were to happen you would do -6x + -6x which would cancel nothing out. But if you just add the two equations nothing would cancel out.

Hope this helped!

Answer:

A

Step-by-step explanation:

If you multiply the top by 7, when you add you can cancel out -7x and 7x. The second one doesn't work because it said subtract at the end. If you subtract then it won't cancel out the y's.

Answer:

quadratic table

Answer:

i think it is exponential

Answer:

The cone holds 9.8 cubic inches ice cream

Step-by-step explanation:

Height of cone = 6 inches

The circular opening at the top is 2.5 inches across

Diameter of cone = 2.5 inches

Radius of cone = [tex]\frac{2.5}{2}=1.25[/tex]

Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]

Volume of cone = [tex]\frac{1}{3} \times 3.14 \times 1.25^2 \times 6[/tex]

Volume of cone = [tex]9.8125 in^3[/tex]

Hence the cone holds 9.8 cubic inches ice cream.

Answer:

A. HL

Step-by-step explanation:

It cant be B because you cant do SSA

Its not C. Because there is only 1 angle

and it cant be D because the angles dont line up.

So is A. HL

Answer:

y2 (3y + 4) + 5y3 :))

Step-by-step explanation:

please give me a good rating lol

Answer:

y2(3y+4)=5y3

Step-by-step explanation:

Answer:27.7

Step-by-step explanation:

the formula for a cone is V=1/3πr*2h

it is 1/3 because a cone is one-third of a sphere.

you then put the information from the text in the formula and you get this

V=1/3x 3.14 (pi) x 2.1 to the power of 2 (radius is half of a diameter)x 6 (height)

then you get the answer 27.6948

round to the nearest 10th and you get

A. 27.7

Also, I took the test.

There are 27.77 in³ of frosting is in the bag.

The amount of space, measured in cubic units, that an object or substance occupies.

Given that, To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4.2 inches and a length of 6 inches.

Volume of cone = ¹/₃πr²h

r = 4.2/2 = 2.1 in

h = 6 in

Volume = ¹/₃x2.1x2.1x6

= 27.77

Hence, the volume of the cone is 27.77 in³

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Answer:

A. x = 5, -3

Step-by-step explanation:

The quadratic equation/formula is:

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

The setup is:

[tex]ax^2+bx+c=0[/tex]

[tex]4x^2 - 8x -60=0[/tex]

Plug in the numbers according to the letter associated:

[tex]x = \frac{8+-\sqrt{-8^2-4(4)(-60)} }{2(4)}[/tex]

[tex]x = \frac{8+-\sqrt{1024} }{8}[/tex]

[tex]x = \frac{8+-32}{8}[/tex]

Solve for addition and subtraction:

[tex]x = \frac{8+32}{8}[/tex]                                                                              [tex]x = \frac{8-32}{8}[/tex]

[tex]x = \frac{40}{8}[/tex]                                                                                  [tex]x = \frac{-24}{8}[/tex]

x = 5                                                                                      x = -3

Answer:

B.

Step-by-step explanation:

If you extend the middle line, you will find that the two angles that the line makes are 60° and 40° by alternate interior angles.

Then, you can just make an equation:

2x + 2x - y + y + 60 + 40 = 360

4x = 260

x = 65°

Now you can use same side interior angles to make another equation:

2x - y + 60 = 180

130 + 60 - y = 180

y = 10