write the formula in finding the volume of the following 3D figures. write your answer inside the box.

rectangular prism
_____________
pyramid
_____________
sphere
_____________
cone
_____________


that's all, please someone help me to this question.
I'm gonna brainliest you!!! ​

Answer:

x = \(\frac{2}{3}\)

Step-by-step explanation:

Given

- \(\frac{5}{4}\) x + \(\frac{2}{5}\) = - \(\frac{13}{30}\)

Multiply through by 60 ( the lcm of 4, 5 and 30) to clear the fractions

- 75x + 24 = - 26 ( subtract 24 from both sides )

- 75x = - 50 ( divide both sides by - 75 )

x = \(\frac{-50}{-75}\) = \(\frac{2}{3}\)

Answer:

is it a times before the +?

Step-by-step explanation:

Answer:

x = 34

y = \(51\sqrt{3}\)

Step-by-step explanation:

\(sin30=\frac{17}{y}\)

\(y=\frac{17}{sin30} =\frac{17}{.5} =34\)

\(tan30=\frac{17}{x}\)

\(x=\frac{17}{tan30} =\frac{17}{\frac{\sqrt{3} }{3} } =(17)(3)\sqrt{3} =51\sqrt{3}\)

Hope this helps

Answer:

1, 42

Step-by-step explanation:

Another pair of factors of 42 would be 2, 21. Factors, when multiplied, would get 42. 6,7 would also work, etc etc.

Answer:

D) y=-4x+1

Step-by-step explanation:

Answer:

x^3+7x^2-50x-336 or (x-7)(x+6)(x+8)

Step-by-step explanation:

Factor each equation.

x^2-x-42= (x-7)(x+6)

x^2+x-56= (x-7)(x+8)

The common factor is (x-7), therefore the other factors of the expressions must multiply to find the common factor.

(x-7)(x+6)(x+8)=x^3+7x^2-50x-336.

Answer

\(\pink\sf{y=-1}\)

Step-by-step explanation

I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).

We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:

\(\sf{y=3-4}\)

And now we just simplify the last part:

\(\sf{y=-1}\)

∴ answer: y = -1

Answer:

14 zeroes

Step-by-step explanation:

\(51!-50!\\=50!(51-1)\\=50!\cdot50\)

By legendre's factorial formula (which is quite intuitive if you take time to think about it), the number of zeroes in \(50!\) is \(\lfloor \frac{50}{5} \rfloor + \lfloor \frac{50}{25} \rfloor = 10+2=12\) zeroes.

Notice that 50 = 5^2 * 2, so it will contribute 2 more zeroes to the number.

Therefore, there will be 12+2 = 14 zeroes in total.

Rough explanation of why the above works:

Note that multiplying anything by 10 adds one zero at the end of a number, and 10=2*5.

In the prime factorization of a factorial function, the power of 5 will obviously be way smaller than the power of 2 (you could calculate exactly but i'm not going to do that here).

In this case, we need to find the power of 5's in the prime factorization of 50! * 50, which was demonstrated above.

You could find the power of 2's to absolutely confirm that it will work, but if you want to save time in a competition that will probably be irrelevant.

Answer:

9.42 i think

Step-by-step explanation:

radius is 1.5 height is 4 so

V=1/3nr^2h

V=1/3n(1.5)^2(4)

V=1/3n(2.25)(4)

V=9.42

Hope this helps :)

Answer:

5:1

Step-by-step explanation:

d_a = 20

d_b = 5

Equation for the circumference of a circle:

C = pi*d

C_a = pi * d_a

C_a = pi*20

C_b = pi * d_b

C_b = pi * 5

Ratio of C_a to C_b = C_a/C_b

C_a/C_b = (pi * 20)/(pi * 4) = 5:1

Answer:

IJ= 4.98

Step-by-step explanation:

EF = 12

KF = 6

LF = 7.8

LK = sqrt(7.8^2-6^2) = 4.98

IJ = LK (4.98)

Answer:

1,200

Step-by-step explanation

Multiply 720 and 100 = 72,000

Divide by 60 = 1,200

Answer:

The answer is 1,200

Step-by-step explanation:

First Multiply 720 and 100 which = 72,000

Then Divide 72,000 by 60 = 1,200

Note that it is correct to state that LN ≅ MN and Nk ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK. See attached image.

A perpendicular bisector is a line that cuts another line segment across the junction point at a straight angle. As a result, a perpendicular bisector always cuts a line segment through its midway. The phrase bisect implies dividing evenly or uniformly.

A simple technique to determine a perpendicular bisector is to measure the line segment you need to bisect. Then, divide the measured length by two to determine the midway. Draw a line at a 90-degree angle out from this middle.

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Full Question:

Tell whether the information in the diagram allows you to conclude that point P lies on the perpendicular bisector of LM. Explain your reasoning. See attached image.

A) No. You would need to know that LK ⊥ MK

B) No. You would need to know that KP ⊥ LM
C) Yes, t LN ≅ MN and Nk ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK
D) Yes, NK ⊥ LM, so NK is the perpendicular bisector of LM and P is on NK

The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.

The volume of a solid is the three dimensional space the solid occupies.

The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;

Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³

Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³

70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³

The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0

The number of times Johnny needs to use the wheelbarrow is about 41 times

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Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.

Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'

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hello

Ans = 5(1/7) = option b

to solve this question, we need to find the dilation factor first and compare by how much did OP reduce to UT

from the trapezium, TS is similar to ON

since we have dialation factor as 2.33, we can proceed to apply it to find OP

OP is equal to 5.14 which is equal to 5(1/7)

Answer:

I think soup B if i get it wrong sry

Step-by-step explanation:

Answer:

Soup A

Step-by-step explanation:

154 = 11x14

so 7x14 = 98 (answer for soup a ratio table)

154=14x11

for soup b: 6x11 = 66 (answer for soup b ratio table)

soup A has more sodium per cups because it has 98 grams for 154 cups while B only has 66 gram for 154 cups

Answer:

1/4, or 0.25 inches

Step-by-step explanation:

You count the dots. The number of dots tell you how many of each length of string she used.

You first find the column with the most dots, and then you find the column with the least. Then you just subtract them, the number of inches it displays on the bottom, 12 1/2 - 12 1/4, which is 1/4. I did this in my head and you can use a calculator if you want.

Thanks for the points, and have a blessed day. Hope this helps.

Answer:

Im pretty sure you acc was deleted so whatever dude the length was 69 inches and 420 millimeters

Answer:

60 % is also .60

100 = .60x

Solve for x

I hope this helps! The rest will be easy! Trust me :)

Step-by-step explanation:

You find the complex conjugate simply by changing the sign of the imaginary part of the complex number.

the answer is

9+3i

Answer:

9 + 3i

Step-by-step explanation:

The conjugate is just the opposite so a+b is a-b in this scenario 9 - 3i has a conjugate of 9 + 3i

The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

What is probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

Based on the experiment described, a two-sample z-test for the difference in proportions was conducted to determine if there is a significant difference between the proportion of rats that succeeded in the maze after being given substance m and the proportion of rats in the control group that succeeded in the maze.

This suggests that the difference in proportions between the two groups is statistically significant at the 0.05 level of significance (since the p-value is less than 0.05).

In other words, the results of the experiment suggest that substance m may be effective in helping to restore memory, as a greater proportion of rats in the substance m group succeeded in the maze compared to the control group. However, it's important to note that further experiments and analyses would be necessary to confirm these findings and determine the extent of the effect of substance m on memory restoration.

Therefore, The z-value obtained from the test was 2.25, and the p-value was less than 0.02.

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Power and chain rule (where the power rule kicks in because \(\sqrt x=x^{1/2}\)):

\(\left(\sqrt{\dfrac{\cos(2x)}{1+\sin(2x)}}\right)'=\dfrac1{2\sqrt{\frac{\cos(2x)}{1+\sin(2x)}}}\left(\dfrac{\cos(2x)}{1+\sin(2x)}\right)'\)

Simplify the leading term as

\(\dfrac1{2\sqrt{\frac{\cos(2x)}{1+\sin(2x)}}}=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\)

Quotient rule:

\(\left(\dfrac{\cos(2x)}{1+\sin(2x)}\right)'=\dfrac{(1+\sin(2x))(\cos(2x))'-\cos(2x)(1+\sin(2x))'}{(1+\sin(2x))^2}\)

Chain rule:

\((\cos(2x))'=-\sin(2x)(2x)'=-2\sin(2x)\)

\((1+\sin(2x))'=\cos(2x)(2x)'=2\cos(2x)\)

Put everything together and simplify:

\(\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{(1+\sin(2x))(-2\sin(2x))-\cos(2x)(2\cos(2x))}{(1+\sin(2x))^2}\)

\(=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{-2\sin(2x)-2\sin^2(2x)-2\cos^2(2x)}{(1+\sin(2x))^2}\)

\(=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{-2\sin(2x)-2}{(1+\sin(2x))^2}\)

\(=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac{\sin(2x)+1}{(1+\sin(2x))^2}\)

\(=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac1{1+\sin(2x)}\)

\(=-\dfrac1{\sqrt{\cos(2x)}}\dfrac1{\sqrt{1+\sin(2x)}}\)

\(=\boxed{-\dfrac1{\sqrt{\cos(2x)(1+\sin(2x))}}}\)

Answer:

0.167

Step-by-step explanation:

if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6

technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167

that should end up being your answer if i did the math right

Answer:

Step-by-step explanation:

5/12 * 6/15 =30/180

1/6=1/6

which is true, Right-hand side is equal to left-hand side

Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !

The problem's matrix representation of linear regression is written as =ε = [ε1 ε2 ε3]'.

A variable's value can be predicted using linear regression analysis depending on the value of some other variable.

The dependent variable is the one you want to be able to forecast.

The independent variable is the one you're using to make a prediction about the value of the other variable.

Y = Xβ + ε,  where Y is indeed the n x 1 vector of a dependent variable, can be used to describe the linear regression issue as a matrix (Yi),

With n = 3 (observations), k = 2 (independent variables), and a matrix representation of a issue, the following can be written:

Y = Xβ + ε

Y = [0.3 0.8 -0.3]

X = [1 1 1; 1 2 0.1]

β = [β0 β1]'

ε = [ε1 ε2 ε3]'

Thus, the problem's matrix form is written as =ε = [ε1 ε2 ε3]'.

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Answer: The variable

Hope this helps :)

Step-by-step explanation:

The measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

Join the points B and O and then join points D and O

Angle A = (1/2)Angle BOD

Angle B = 140 degrees

Angle A = (1/2)140 degrees

Angle A = 70 degrees

Thus, the measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

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Answer:

Height = 47.77 inches

Step-by-step explanation:

We are given;

Mean = 49.9 in

Standard deviation;SD = 3.15 in

The first quartile is the 25th percentile, which means it's where 25% of the data falls.

Now from the normal distribution table attached, we can see that the z-value for 25% or 0.25 is approximately

-0.675.

To find the height that represents the first quartile of these students, we will use the formula;

z = (height - mean)/(SD)

Making height the subject ;

height = (z × SD) + mean

Plugging in the relevant values to obtain;

Height = (-0.675 × 3.15) + 49.9

Height ≈ 47.77 inches

Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.