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9514 1404 393

Answer:

  13 m

Step-by-step explanation:

The volume formula is ...

  V = (1/3)Bh

where B is the base area and h is the height.

Filling in the given values, we can solve for h.

  351 m³ = (1/3)(81 m²)h

  351/27 m = h = 13 m . . . . . divide by the coefficient of h

The height of the pyramid is 13 meters.

Answer:

50 packs.

Step-by-step explanation:

Given the following data;

Length = 28 feet

Width = 25 feet

Pack of seeds = 14 ft²

Since Kevin's backyard is a rectangle, we would find its area.

Area of rectangle = length * width

Substituting into the equation, we have;

Area of rectangle = 28 * 25

Area of rectangle = 700 ft²

Now to find the amount of pack of seeds required to cover the backyard.

Amount of pack of seeds = 700/14

Amount of pack of seeds = 50 packs.

Answer:

A situation represents a proportional relationship if you can write equivalent ratios of related quantities in that situation.

Q

Answer:

The first one

Step-by-step explanation:

You are taking one object times per pound, x, and than adding the cost for a basket.

Answer:

We will graph the inequality in simplified form i.e [tex]y>-3[/tex]

The graph is shown in figure below

Step-by-step explanation:

Which is the graph of the linear inequality [tex]2y>-6[/tex]

(Note: Considering the inequality is 2y>-6 and x is typing mistake.)

First we will solve the inequality to find value of y

We have inequality:

[tex]2y>-6[/tex]

For finding y we have to divide both sides of inequality by 2

[tex]\frac{2y}{2}>\frac{-6}{2} \\y>-3[/tex]

Now, we will graph the inequality in simplified form i.e [tex]y>-3[/tex]

Inequality can be graphed on number line as well as graph paper.

Graph on number line

Since y is greater than -3, so all values greater than -3 will be included on the number line. An open circle will be drawn on -3, indicating -3 is not included but values greater than -3 are included. The figure A shows the graph

Graph on Graph paper

Since y is greater than -3, so all values greater than -3 will be included on the number line. A dotted line will appear on -3 and the region on right side of -3 (values greater than 3) will be shaded. The figure B shows the graph

Answer:

100+50²=2600

Step-by-step explanation:

because 50x2=100 and 50² is 2500. Add those and you get 2600.

Answer: Create equivalent expressions in the equation that all have equal bases.

2

2

x

=

2

7

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

2

x

=

7

Divide each term by

2

and simplify.

Divide each term in

2

x

=

7

by

2

.

2

x

2

=

7

2

Cancel the common factor of

2

.

Cancel the common factor.

2

x

2

=

7

2

Divide

x

by

1

.

x

=

7

2

The result can be shown in multiple forms.

Exact Form:

x

=

7

2

Decimal Form:

x

=

3.5

Step-by-step explanation: Brainless, please

Correct expressions : [tex]x^4/2[/tex] and [tex]8x^2[/tex] .

Hence option B and E are correct .

Given, expression will yield 128 when x = 4 .

Expression B :

[tex]x^4/2[/tex]

Put x = 4

[tex]\frac{4^4}{2}\\ = 128[/tex]

Expression E :

[tex]8x^2[/tex]

Put x = 4

[tex]8(4^2)\\= 128[/tex]

Therefore option B and E are correct .

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Answer:

-3

Step-by-step explanation:

Answer:

[tex]r=-3[/tex]

Step-by-step explanation:

We have the equation:

[tex]\displaystyle \frac{1}{3}r+1=-\frac{2}{3}r-2[/tex]

And we would like to solve for r.

First, we can multiply both sides by the denominator 3. This will remove the fractions. So:

[tex]\displaystyle 3(\frac{1}{3}r+1)=3(-\frac{2}{3}r-2)[/tex]

Distribute:

[tex]\displaystyle r+3=-2r-6[/tex]

Now, we can add 2r to both sides:

[tex]3r+3=-6[/tex]

And we can also subtract 3 from both sides:

[tex]3r=-9[/tex]

Finally, we can divide both sides by 3 to get:

[tex]r=-3[/tex]

Answer:

When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.

Step-by-step explanation:

Answer:

B. A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period

The higher effective interest rate is for  A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.

Interest Rate is the rate at which a person either takes loan, or a person lends money to somebody.

The interest rate is different for different types of loans, some interest are simply calculated on the principal, called as Simple Interest while some are calculated on both the principal and the interest, called as Compound Interest.

A payday loan has principal of $1500

It is due in 12 days, so time period is 12 days.

The interest amount is $90

I = P * R *T / 100

90 = 1500 *12 *R /100

R = 0.5 %

A payday loan has principal of $1500

It is due in 10 days, so time period is 10 days.

The interest amount is $90

90 = 1500 *10 *R /100

R = 0.6 %

The rate of interest  is more for a payday loan for $1500 that is due in

10 days with a fee of $90.

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Answer:

median for 9,1,9,6,5 is 6 and for 2,10,7,1 is 4 1/2

I got it by lining up the first numbers    1,5,6,9,9 and 6 was middle    second one i lined it up     1,2,7,10 and 2 and 7 were middle so added them together and divided by 2 and got 4 1/2

Answer: m=29

Step-by-step explanation:

Answer:

Time taken by kangaroo to travel 5 km = 4.27 minutes.

Step-by-step explanation:

Speed of kangaroo is 44 mph.

Speed of kangaroo = 44 mph = 44 x 1.6 = 70.4 kmph = 19.5 m/s

We need to find how much time it takes to travel 5 km

Distance traveled = 5 km = 5000 m

We have

          Distance traveled =  Speed x Time taken

          5000 = 19.5 x Time taken

          Time taken = 256.41 seconds

           Time taken = 4.27 minutes.

Answer:7.5

Step-by-step explanation:

Answer:

B: 12:240

Step-by-step explanation:

you can divide the ratios to see if they are equivalent.

9/180= 0.05 or 1/20

12/240= 0.05 or 1/20  

Answer:

a

Step-by-step explanation:

Answer:

It is not possible

Step-by-step explanation:

First 6 people have 9 friends and since 6 people can have totally the same friends which could all be each other, we would have 5 friends(from same 6 people) + 4 friends(not from the 6). Therefore we would have total 9 people/students

In second group of 8 people, their friends could entirely be the same be the same as the first group's friends or they could all be each other's friend hence just an additional 8 students to the population

In the third group of 11 people/students, same thing could apply as above but total number of students would always surpass 25 with the additional population. Example 9+8+11= 28

Therefore it is not possible that 25 students would each have those number of friends.

Answer:

109

Step-by-step explanation:

Answer:

(4n − 1)(n − 4)

Explanation:

Factor 4n² − 17n + 4

4n² − 17n + 4

= (4n − 1)(n − 4)

Answer:

(4n − 1)(n − 4)

The factors of the expression [tex]4n^2-17n+4[/tex] are

Mathematically, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.

To factorize the quadratic expression [tex]4n^2 - 17n + 4[/tex], we need to find two binomial factors that, when multiplied, result in the given expression.

The factored form will have the following structure:

(An + B)(Cn + D)

To find the values of A, B, C, and D, we can use various methods such as factoring by grouping, quadratic formula, or completing the square. In this case, we will use the factoring by grouping method.

Step 1: Multiply the coefficient of the leading term (4) by the constant term (4). The result is 16.

Step 2: We need to find two numbers that multiply to give 16 and add up to the coefficient of the linear term (-17). After considering the possible pairs of numbers, we find that -16 and -1 meet these criteria.

Step 3: Rewrite the middle term (-17n) using -16n - n:

= [tex]4n^2 - 16n - n + 4[/tex]

Step 4: Group the terms and factors by grouping:

= [tex](4n^2 - 16n) - (n - 4)[/tex]

= 4n(n - 4) - 1(n - 4)

Step 5: Factor out the common binomial factor:

(n - 4)(4n - 1)

Therefore, the factored form of the quadratic expression [tex]4n^2 - 17n + 4[/tex] is (n - 4)(4n - 1).

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Answer: It is 4,7 to show this draw a graph and then flip it to see its reflection

Answer:

337.41366

Step-by-step explanation:

Given that:

Mean = 331 grams

Standard deviation = 23 grams

Sample size (n) = 15

P(Z < x) = 14% = 0.14

Obtain the Zscore corresponding to (1 - 0.14) = 0.86

P(z < 0.86) = 1.08

Zscore = 1.08

Zscore = (x - mean) / s/√n

1.08 = (x - 331) / 23/sqrt(15)

1.08 = (x - 331) / 5.9385744

X - 331 = 6.4136604

X = 6.4136604 + 331

X = 337.41366

Answer:

750

Step-by-step explanation:

A relative value indicating hundredth parts of any quantity. 1.5 is 0.2% of 750.

A relative value indicating hundredth parts of any quantity.

We need to find the number whose 1.5 is 0.2%.(one point five is zero point two percent)

Let x be the number which is 0.2% of a number 1.5.

The percentage value is converted to decimal value by dividing with 100.

0.2/100×x=1.5

zero point two divided by hundred time of x is equal to one point five.

0.002x=1.5

Divide both sides by 0.002

x=1.5/0.002

x equal to one point five by zero point zero zero two.

x=750.

x equal to seven hundred fifty.

Hence 1.5 is 0.2% of 750.

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Answer:

y= 1/4x +1

Step-by-step explanation:

First I needed to find the y-intercept which means I have to get the slope to cross (0,?). Using the point of intersect and slope, I was able to move 4 spaces to the right and 1 space up 2 time. If you do the math 4x2=8  1x2=2.

-8+8=0 which is our x coordinate

-1+2= 1 which is our Y coordinate

(0,1) + 1/4x=    y= 1/4x +1

Answer:

14,24,40

Step-by-step explanation:

u cute

Answer:25 = 25 Right Triangle. 3, 7 and 9 Squaring each side = 9, 49 and 81. sum of the squares of the short sides = 9 + 49 = 58. 58 < 81 Obtuse Triangle. For determining if the 3 sides can even form a triangle, the triangle inequality theorem states that the longest side must be shorter than the sum of the other 2 sides.

Step-by-step explanation:

Answer:

[tex]\frac{a}{b}[/tex]

Step-by-step explanation:

For this problem, if we really wanted to be precise, we could go through and do the slope equation for all of the lines. However, this graph is clear enough that we can just count the points.

On line A, we can just follow the line and see that the slope is -1 because each point goes down 1 and over 1.

Line B has a slope of -2. It goes down 2 and over 1.

Line C has a slope of 2; up 2 and over 1.

If we look at our three slopes, -1, -2, and 2, we can see that the only way for the ratio to be 1/2 is for line A over line B. This is because a negative over a negative is a positive.

Hope this helps!

Answer:

vertex: (-3,2) because the vertex would be the center point of the parabola

axis of symmetry: x=-3, the axis of symmetry is the the center/split in the parabola.

y-intercept: y= -1, because this is the point where the parabola crosses through the y-axis

Answer:

Step-by-step explanation: the answer is does not

Answer: The table does not show a proportional relationship

Step-by-step explanation: i got it right on my envision just here to help

Answer:

j

Step-by-step explanation:

j

Answer: the 2 at 200,000 is 100 times more than the 2 at 002,000

Step-by-step explanation:

Answer:

The 2 at the beginning of the number is in the hundred thousands place while the other 2 is in the thousands place.

Step-by-step explanation:

Starting at the number on the far right, you go up in place value to the left.

212,45(3) - ones

212,4(5)3 - tens

212,(4)53 - hundreds

21(2),453 - thousands

2(1)2,453 - ten thousands

(2)12,453 - hundred thousands

The amount she will have left after writing a check for $23.99 is $13.26. The correct answer would be an option (C).

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

Tricia has $37.25 in her account, if she writes a check for $23.99, to find the amount left after that we need to subtract the check amount from her initial amount.

⇒ initial amount - check amount

⇒ $37.25 - $23.99

Apply the subtraction operations, and we get

⇒ $13.26

Therefore, the amount she will have left after writing a check for $23.99 is $13.26.

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