What is the density of a 60-gram pyramid with rectangular base 5 cm x 7 cm and height 9 cm?

Answers

Answer 1

Answer:

0.571428571429 grams per cm³

Step-by-step explanation:

density = mass/volume

Let’s calculate the volume V of the pyramid :

V = (1/3)×base×height

   = (1÷3)×(5×7)×9

   = 105 cm³

Then

The density = mass/volume

                    = 60÷105

                    = 0.571428571429


Related Questions

Helpppppp plssss!!!!!!

Answers

Answer:

The answer is D or 180 degrees

Thank you Consider brainliest <3

Step-by-step explanation:

What is the total number of atoms in ammonium hydroxide, nh4oh ? 2 4 7 8

Answers

Answer:

7 total atoms.

Step-by-step explanation:

There's nothing written for N, so we assume there is one atom. There is 4 written for H, plus the other H at the end, making 5 hydrogen atoms. There is nothing written for O, so we assume there is one atom. 1+5+1=7 total

Answer:

7

Step-by-step explanation:

BABA BOI

simplifi the expresion 3^-3

Answers

Answer:

0,(037)

Step-by-step explanation:

At this question, if I understood correctly, the answer for that is 0,037037037037...

You can write it as 0,(037)

I hope that I helped :)

Henry is going to color a spinner with 16 equal-sized sections. Three of the sections will be orange,
and 13 of the sections will be black. Is this spinner fair? If so, explain why. If not, explain how to make
it a fair spinner.
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. Yes. The spinner is fair because there are the same number of orange sections and black
sections.
OB. No. The spinner is not fair because there are more orange sections than black sections. A fair
spinner will have
orange section(s) and
black section(s).
(Type whole numbers.)
OC. No. The spinner is not fair because there are
more black sections than orange sections. A fair
black section(s).
spinner will have orange section(s) and
Click to select and enter your answer(s) and then click Check Answer
Clear All
Check Answer
All parts showing

Answers

Answer: C

Step-by-step explanation: Black shade will be 13/16 . That isn't fair at all. It has more Black

The interquartile range is

Answers

Answer:

11.

Step-by-step explanation:

Lower quartile = (12 + 8) /2 = 10

Upper quatrile  = (20+22)/2 = 21

Interquartile range = 21-10 = 11,

How many ways are there to deal hands of five cards to each of six players from a deck containing 48 different cards

Answers

Using the combination formula, it is found that there are [tex]6.4 \times 10^{32}[/tex] ways to deal the cards to the six players.

The order in which the cards are handed to each player is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

For the first player, 5 cards are taken from a set of 48.For the second player, they are taken from a set of 43.For the third for a set of 38, for the fourth from a set of 33, for the fifth from a set of 28 and for the sixth from a set of 23, hence:

[tex]T = C_{48,5} \times C_{43,5} \times C_{38,5} \tims C_{33,5} \times C_{28,5} \times C_{23,5}[/tex]

[tex]6.4 \times 10^{32}[/tex]

There are [tex]6.4 \times 10^{32}[/tex] ways to deal the cards to the six players.

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Julie invested $148,000 in a simple interest account. After 12 years and no additional deposits or withdrawals, the account balance was $210,160. Find the interest rate for the account.

Answers

If the invested price is $ 148,000 for 12 years with a return of $210,160. Then the rate of interest will be 11.83%.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Julie invested $148,000 in a simple interest account.

After 12 years and no additional deposits or withdrawals, the account balance was $210,160.

Then the interest rate will be

[tex]\rm A = \dfrac{PRT}{100}\\[/tex]

We have

A = $ 210,160

P = $148,000

T = 12 years

Then the interest rate will be

[tex]\begin{aligned} 210,160 &= \dfrac{148000 \times R \times 12}{100}\\\\R &= 11.83 \% \end{aligned}[/tex]

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Answer: 3.5%

Step-by-step explanation:

Find the surface area of the sphere if its radius is 13 inches. Round your answer to
nearest hundredth (two decimal places). Use 3.14 to approximate pi.

Answers

Formula: (3.14) 13^2
Answer: 530. 66
Formula is A=4 pi r^2
4*3.14*13^2
2122.64

3.5 divided by 470.75 with solution.

Answers

Answer:

0.00743494

Step-by-step explanation:

1.) First start by writing down your equations.

It should look like this: 3.5/470.75

2.) Next you want to move the decimal place equally on both sides.

It should look like this: .00350 divided by .47075

3.) Lastly solve by seeing how many times 47075 goes into 3.5 which results in 0.00743494

1. Jackie is saving money to buy a new cell phone. The cell phone costs $175, but she has
already saved $56. What percent of the cost of the cell phone has Jackie saved?

Answers

Answer:

32%

Step-by-step explanation:

Given that:Jackie is saving money to buy a new cell phone.The cell phone costs $175 she has already saved $56To find:The percent of the cost of the cell phone has Jackie saved

In order to find the percent of the cost of the cell phone has Jackie saved,

divide the cost of the cell phone by the amount of the money Jackie savedMultiply the result (1) by 100

See below how it's done:

[tex] \dfrac{56}{175} \times 100[/tex]

dividing yields:

[tex] 0.32 \times 100[/tex]

multiplying yields:

[tex]32\%[/tex]

Alternative:

Instead of dividing,we can consider reducing the fraction and multiply that with 100 to get the answer.

[tex] \dfrac{56}{175} \times 100 \\ \implies \frac{8}{25} \times 100 \\ \implies 8 \times 4 \\ \implies \boxed{32\%}[/tex]

In conclusion:

Jackie has saved 32% of the cost of the cell phone

Percent of discount is 40% sale price is 78 what’s the or

Answers

Answer:

124.8

Step-by-step explanation:

Answer: $130

Step-by-step explanation:

60% = 78

1% = 78/ 60

100% = 78/60 ×100

Discount is 40% = $52

According to Howard Jones, what is one historical circumstance that led to support for United States expansion overseas in the 1890s? ​

Answers

The context clues show that a historical circumstance that led to United States expansion overseas in the 1890s is economic dominance.

What are context clues?

It should be noted that context clues are the hints that are given in a literary work to help readers understand a story.

In this case, the context clues show that a historical circumstance that led to United States expansion overseas in the 1890s is economic dominance. This was achieved through commercial penetration.

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The perimeter of a triangle is 42 yards. The first side is 5 yards shorter than the
second side, and the third side is 2 yards shorter than the first side. What is the length
of each side?

Answers

Answer: Is your question "What is the length of each side?"

Let x = the length of the second side

Let x - 5 = the length of the first side

Let (x - 5) - 2 = the length of the third side

P = a + b + c

x + x - 5 + x - 7 = 42

3x - 12 = 42

3x = 54

x = 18 yards

x - 5 = 13 yards

x - 7 = 11 yards

Step-by-step explanation:

A researcher is interested in knowing whether responses to lowering the legal age for drinking alcohol varies by gender. Which statistical test would be most appropriate for this type of data

Answers

The statistical test that would be most appropriate determine the answer the researcher is interest in knowing is a chi-square test.

What is a chi-square test?

A chi-square test is a statistical test used to test the relationship between categorical variables. It is used to determine the difference between the expected data and the observed data is due to chance.

Chi squared = [tex]\frac{(O_{i} - E_{i} )^{2} }{E_{i} }[/tex]

Where:

[tex]O_{i}[/tex] = observed value[tex]E_{i}[/tex] = expected value.

The researcher is interested in knowing if the response to lowering the legal age for drinking alochol (observed value)) varies by gender (expected value). Thus, a chi-square test would be used.

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Kaya does homework for 2 2/3 hours. She spends 1/4 of this time doing her science
homework. How much times does she spend doing her science homework?

Answers

Answer:

2/3

Step-by-step explanation:

1/4 is the same thing as 25%

25% of 2 2/3 is 2/3

You can also divide 2 2/3 by 4.

Help Please. I'm not that smart

Answers

Answer:

8580 yards

Step-by-step explanation:

[tex]4 \frac{7}{8}miles \times 1760 \frac{yards}{mile} = 8580yards[/tex]

The total will the friend's paddle combined is 51480 yards.

What is the unit conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.

The Great Adventures Canoe and Kayak company offers 3 different options as shown in the table.

This afternoon a group of  6 friends is paddling the Adventure Mid Trip in individual kayaks.

The totals will the friends paddle combined is;

[tex]\rm = 4\dfrac{7}{8} \times 6\\\\=\dfrac{4\times 8+7}{8}\times 6\\\\=\dfrac{32+7}{8} \times 6\\\\ =\dfrac{39}{8} \times 6 \\\\=\dfrac{234}{8}\\\\= 29.25[/tex]

Here 1 mile = 1760 yards

The totals will the friends paddle combined is;

[tex]= 29.25 \times 1760\\\\=51480[/tex]

Hence, The total will the friend's paddle combined is 51480 yards.

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which number is between 8.270 and 8.280

Answers

Answer:

8.275

Step-by-step explanation:

8.280 - 8.270 = 0.010

0.010/2 = 0.005

8.270 + 0.005 = 8.275

Which one does it simplify to? please

Answers

Answer:

[tex]1 + { \sin} \theta[/tex]

Step-by-step explanation:

[tex] \frac{ { \cos}^{2} \theta}{1 - \sin \theta} \\ \\ = \frac{ { \cos}^{2} \theta}{(1 - \sin \theta)} \times \frac{(1 + \sin \theta)}{(1 + \sin \theta)} \\ \\ = \frac{{ \cos}^{2} \theta(1 + { \sin} \theta)}{(1 - { \sin}^{2} \theta)} \\ \\ = \frac{{ \cancel{ \cos}^{2} \theta}(1 + { \sin} \theta)}{ \cancel{{ \cos}^{2} \theta}} \\ \\ = 1 + { \sin} \theta[/tex]

Let's see

[tex]\\ \rm\Rrightarrow \dfrac{cos^2\theta}{1-sin\theta}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1-sin^2\theta}{1-sin\theta}[/tex]

(a+b)(a-b)=a²-b²

[tex]\\ \rm\Rrightarrow \dfrac{(1-sin\theta)(1+sin\theta)}{1-sin\theta}[/tex][/tex]

[tex]\\ \rm\Rrightarrow 1+sin\theta[/tex]

Option A

How to Convert 3,18km to M​

Answers

Answer:

1.97596 miles

simplified

1.976 miles

Normal Distribution- Empirical Rule - please help

Answers

It’s 0 beachfront is god likely

Which equation matches the table? (I have a screenshot)
If I get this wrong I will lose my 57 streak :(

Answers

Answer:

b-2a

Step-by-step explanation:

this is beacuse when u find the slope u look in the chart and divide the numbers and will give u the sum of 2

8/4

8/12

12/16

Answer:

b=a+4

Step-by-step explanation:

Its a 58 streak now :)

Can anyone please help answer this?

Answers

A = 45 inches!

11 + 7 = 18

12 + 5 = 17

6 + 4 = 10

18 + 17 = 35

35 + 10 = 45

solve for x : -17 = -x - 7

Answers

Answer:

10

Step-by-step explanation:

-(-17)=17-7=10

Answer:

x = -119/16

Step-by-step explanation:

x/-17 = -x-7

x/-17 + x = -x-7+x

SIMPLIFY

16x/17 = -7

so x= -119/16

(I TRIED TO SOLVE THIS HOPE THIS HELPS).

in a binomial experiemnt the probability of success is 0.16. what is the probability of two successes in seven trials

Answers

Answer:

0.2248307402

Step-by-step explanation:

Let 'success', p = 0.16,

and 'failure', q = 1 - 0.16 = 0.84

and the number of trials, n = 7

r = 2

[tex]P(X = r) = \binom{n}{r} {p}^{r} {q}^{n - r} \\ P(X = 2) = \binom{7}{2} {(0.16)}^{2} {0.84}^{5 - 2} \\ = 0.2248307402[/tex]

The first five terms of an arithmetic sequence are given: $4,10,16,22,28, \\ldots$ What is the sixth term in the sequence

Answers

Answer:

34

Step-by-step explanation:

to find the number to add 4 which will increase it to 10 with them subtract 10 from 4 to find the number which is increasing termly

=> 10 - 4 = 6

increasing by 6

4 + 6 = 10

10 + 6 = 16

16 + 6 = 22-

22 + 6 = 28

28 + 6 = 34

6th term = 34

Solve the System of these Equations

Answers

Answer:

y=-9/2, x=7

Step-by-step explanation:

You can solve this via substitution. First solve for x in terms of y in one of the equations given. Lets use the first one:

25+4y=x

Now plug 25+4y in for x in the second equation

3(25+4y)-2y=30

75+12y-2y=30

75+10y=30

10y=-45

y=-9/2

Plug this into the first equation:

25-x=-4(-9/2)

25-x=18

x=7

y = 2x^2 + 3
im looking for how to find the axis of symmetry

Answers

Answer:

The axis of symmetry is simply 0

Step-by-step explanation:

When you enter that equation on the graph the axis of symmetary is the line that goes straight throught the middle of it.

I inserted an image so you could understand a littler better. Hope this helps!

The axis of symmetry of the quadratic equation y = 2x^2 + 3 is x = 0

How to determine the axis of symmetry?

The equation is given as:

y = 2x^2 + 3

Differentiate the above equation with respect to x

y' = 4x + 0

This gives

y' = 4x

Set the equation to 0

4x = 0

Divide both sides by 4

x = 0

Hence, the axis of symmetry is x = 0

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Find the image of the given point
under the given translation.
P(-9, -2)
T(x, y) = (x + 6, y − 4)
P' = ([?], [])

Answers

Answer:   (-3, -6)

Explanation:

The notation [tex]T(x, y) = (x+6, y-4)[/tex] tells us to add 6 to the x coordinate and subtract 4 from the y coordinate.

An equivalent notation would be to write [tex](x,y) \to (x+6, y-4)[/tex]

Point P has the x coordinate of -9. Adding on 6 gets us the new x coordinate of -9+6 = -3

It also has the y coordinate of -2. Subtract off 4 to get -2-4 = -6

So,

[tex](x,y) \to (x+6, y-4)\\\\(-9, -2) \to (-9+6, -2-4)\\\\(-9, -2) \to (-3, -6)[/tex]

Answer:

P' (- 3, - 6 )

Step-by-step explanation:

the translation

(x, y ) → (x + 6, y - 4 )

means add 6 to the x- coordinate and subtract 4 from the y- coordinate , so

P (- 9, - 2 )  → P' (- 9 + 6, - 2 - 4 ) → P' (- 3, - 6 )

Determine the equation of the line with the following characteristics.

Slope=3, passing through (-1, 10)

Answers

Answer:

y = 3x + 13

Step-by-step explanation:

The equation of a line is also known as slope-intercept form.

Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept.

To put an equation in slope-intercept form, we need the slop and the y-intercept.

In this case, we already have the slope which is 3.

So far, we have y = 3x + b

Now, we need to find the y-intercept.

Since you already have a point, we can plug in the x and y values from the point, into the equation.

10 = 3(-1) + b

Now, we can solve for b.

10 = -3 + b

Add three on both sides so it becomes:

13 = b

13 is the y-intercept

y = 3x + 13

What are all the solutions to the equation sin 2x = 2cos x in the interval [0, 2π)?

Answers

Answer:

[tex]x=\dfrac{1}{2} \pi, \dfrac{3}{2} \pi \quad \textsf{in the interval}\:[0,2 \pi)[/tex]

Step-by-step explanation:

Rewrite the given equation so that it equals zero, using the trig identity:

[tex]\sin(2x)=2\sin(x)\cos(x)[/tex]

[tex]\begin{aligned}\sin(2x) & =2\cos(x)\\\sin(2x)-2\cos(x) & =0\\2\sin(x)\cos(x)-2\cos(x) & =0\\2\cos(x)[sin(x)-1] & =0\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Therefore}:\quad 2\cos(x) & =0\\\cos(x) & =0\\x & =\dfrac{1}{2} \pi \pm 2 \pi n, \dfrac{3}{2} \pi \pm 2 \pi n\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Therefore}:\quad \sin(x)-1 & =0\\\sin(x) & =1\\x & =\dfrac{1}{2} \pi \pm 2 \pi n\end{aligned}[/tex]

[tex]\implies x=\dfrac{1}{2} \pi, \dfrac{3}{2} \pi \quad \textsf{in the interval}\:[0,2 \pi)[/tex]

An equation is formed of two equal expressions. The value of x for which the sin(2x) = 2cos(x) will have solution in the interval [0, 2π) is (π/2) and (3π/2).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation can be rewritten as,

sin(2x) = 2 cos(x)

2 sin(x) cos(x) = 2 cos(x)

2 sin(x) cos(x) - 2 cos(x) = 0

Taking 2cos(x) as common,

2 cos(x) [sin(x) - 1] = 0

Now, the two factors can be written as,

cos(x) = 0

x = (π/2)±2πn, (3π/2)±2πn

sin(x) - 1 = 0

sin(x) = 1

x = (π/2)±2πn

Hence, the value of x for which the sin(2x) = 2cos(x) will have solution in the interval [0, 2π) is (π/2) and (3π/2).

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