A square pyramid is 9 ft tall and has a volume of 507 cubic feet. How long is each side of the base of the pyramid?

Answer:

{-8, 8}

Step-by-step explanation:

Simplify   7· |n| = 56 by dividing both sides by 7:  

|n| = 8

Because this is an absolute value equation, there are two separate solutions.  One is n = +8 and the other is n = -8.

There are two solutions.

[tex]

7\times\mid n\mid=56\Longrightarrow\mid7n\mid=56 \\

\mid7\times x_1\mid=56\Longrightarrow x_1=\frac{56}{7}=\boxed{8} \\

\mid7\times(-x_1)\mid=56\Longrightarrow-x_2=\frac{56}{7}\Longrightarrow x_2=\boxed{-8}

[/tex]

The probability of drawing the number 14 is 1/10 (because there are 10 different numbers to pick from). The probability of drawing a number less than 12 is 8/10 (or 4/5 simplified). Multiply the fractions: 1/10 *4/5 = 4/50. Simplify to 2/25. The probability of drawing 14 and then a number less than 12 is 2/25.

the answer is b and f

Answer:

b f

Step-by-step explanation:

Answer:

11,499 cm^3

Step-by-step explanation:

The volume of a sphere is given by the formula  [tex]V=\frac{4}{3}\pi r^3[/tex]

The radius is given as 14, we plug it into the formula and find the volume:

[tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}(\frac{22}{7}) (14)^3\\V=11498.66[/tex]

rounded to nearest integer, the volume is 11,499

Answer:

r=14 cm

V=11499 cubic cm

Step-by-step explanation:

If the radius of the sphere is r cm, then the perimeter of the largest cross section is the circumference of the circle qith radius r. Thus,

[tex]88=2\pi r,\\ \\r=\dfrac{88}{2\pi}=\dfrac{44}{\pi}=\dfrac{44}{\frac{22}{7}}=\dfrac{44}{1}\cdot \dfrac{7}{22}=14\ cm.[/tex]

Thvolume of the sphere can be calculated using formula

[tex]V=\dfrac{4}{3}\pi r^3.[/tex]

Since r=14 cm, we get

[tex]V=\dfrac{4}{3}\cdot \dfrac{22}{7}\cdot 14^3=\dfrac{4\cdot 22\cdot 2\cdot 14^2}{3}=\dfrac{34496}{3}\approx 11499\ cm^3.[/tex]

Answer: D) 13y+15y^2

Step-by-step explanation:

(4y+9y)+(-8y^2-7y^2)=13y-15y^2

4y-8y^2+9y−7y^2

=4y+ −8y^2+9y+ −7y^2

Combine Like Terms:

=4y+ −8y^2+9y+ −7y^2

=(−8y^2+ −7y^2)+(4y+9y)

= −15y^2+13y

Answer:

12, 18.

Step-by-step explanation:

2x-5 < 33

2x < 38

x < 38/2

x < 19

Answer: 0.283 square miles

Step-by-step explanation:

The area of a circle is:

Diameter:A = (π/4) × D2

or, when you know the Circumference:A = C2 / 4π

Answer:

Thus, the fourth answer choice is the correct one

Step-by-step explanation:

Let's check this, using the Pythagorean Theorem:

"Yes, the distance from (0, 0) to (2, square root 6 ) is 3 units."

Does 2² + (√6)² = 3²?

Does 4 + 6 = 9?  NO.   .

Rounded Answer: 256

Exact Answer : 255.6

your answer would be $405.60

The answer is 709.8 You would do 8.45 times 40 = 338 now since he did overtime you multiply it by 2. 338*2= 676. He also did another 4 hours 8.45*4=33.8 now you add these together 33.8+676 = 709.8

Answer:

[tex]\left[\begin{array}{ccc}7\\4\\2\end{array}\right][/tex]

The answer is a single-column matrix (7,4,2)

Step-by-step explanation:

In such multiplication of matrices, you have to proceed by multiplying each ROW of the first matrix by the COLUMN of the second matrix.  So,

[tex]\left[\begin{array}{ccc}3&6&1\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (3 * 2) + (6 * 0) + (1 * 1) = 6 + 0 + 1 = 7[/tex]

then...

[tex]\left[\begin{array}{ccc}2&4&0\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (2 * 2) + (4 * 0) + (0 * 1) = 4 + 0 + 0 = 4[/tex]

and

[tex]\left[\begin{array}{ccc}0&6&2\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (0 * 2) + (6 * 0) + (2 * 1) = 0 + 0 + 2= 2[/tex]

I hope it helps.

Answer:

-5 < x <=-2

Step-by-step explanation:

9<=1-4x<21

Subtract 1 from each side

9 -1<=1-1-4x<21-1

8 <= -4x < 20

Divide each side by -4.  That means to flip all inequalities

8/-4 >= -4x/-4 >20/-4

-2 >=x > -5

-5 < x <=-2

The answer will be D

The equation of the line passing through points O(0,0) and P(8,-6) is y = -3/4x.

To find the equation of a line, we need to determine its slope and y-intercept. The slope can be found using the formula (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are coordinates of two points on the line. In this case, we have the coordinates of points O and P: O(0,0) and P(8,-6).

The slope of the line passing through O and P is (-6 - 0) / (8 - 0) = -6 / 8 = -3 / 4.

Since the line passes through the origin (0,0), its y-intercept is 0. Therefore, the equation of the line is y = -3/4x.

https://brainly.com/question/33578579

#SPJ2

Answer:

The area of rhombus = 195 yd²

Step-by-step explanation:

Points to remember

Area of rhombus = d₁d₂/2

Where d₁ and d₂ are the diagonals of the rhombus

To find the area of given rhombus

Here diagonals of rhombus are given

From the figure we get,

d₁ = 13 + 13 = 26 yd and

d₂ = 7.5 + 7.5 = 15 yd

Area = d₁d₂/2 = (26 * 15 )/2 = 13 * 15 = 195 yd²

Therefore the area of rhombus = 195 yd²

Answer:

x<\frac{-y+4}{2}

Step-by-step explanation:

Hope this helps!!!

can i get brainliest plzzz thx

Answer:

p = 1/6

Step-by-step explanation:

5/6 - 1/3 n = p(5-2n)

Multiply each side by 6 so we do not have any fractions

6(5/6 - 1/3 n) = 6*p(5-2n)

5 - 2n = 6p (5-2n)

Divide each side by (5-2n) to isolate 6p

(5-2n)/(5-2n) = 6p (5-2n)/ (5-2n)

1 = 6p

Now divide by 6 to get p alone

1/6 = 6p/6

1/6 = p

Answer:

4.64

Step-by-step explanation:

s = 6a^3

600=6a^3

100 = a^3

solve for a which would be 4.64

Step-by-step explanation:

6 oranges =$2.52

1 orange=$2.52/6

=$0.42

Answer:

Step-by-step explanation:

The answer is aP=0.42n

To get to that answer all you have to do is 2.52/6=0.42

6 oranges=2.52

1 oranges=0.42

Answer:

A) 7

Step-by-step explanation:

The outlier of a given data set is one that is significantly larger or smaller than the rest of the data.

In this set, most of the values are within the 25-35 range, more or less. But out of all of those numbers, one of the is too small to make sense, which is 7.

Answer:

number 1 my fried here justin has been taken

Step-by-step explanation:

Answer: 6 meters per second

Step-by-step explanation:

Ben's average speed from Post A to Post C is 6 meters per second, calculated by dividing the total distance cycled (420 meters) by the total time taken (70 seconds).

The subject of the problem is calculating average speed. In this context, Ben's average speed can be calculated by dividing the total distance cycled by the total time taken.

Total distance is the sum of the distance from Post A to Post B and from Post B to Post C, which is 120 meters + 300 meters = 420 meters.

Total time is the sum of the time taken from Post A to Post B and from Post B to Post C, which is 15 seconds + 55 seconds = 70 seconds.

So, Ben's average speed=Total Distance/Total Time.
This equals 420 meters/70 seconds= 6 meters/second.

Therefore, Ben’s average speed for the entire distance from Post A to Post C is 6 meters per second.

https://brainly.com/question/12322912

#SPJ2

Answer:

y=4(x-1)^2-9

Step-by-step explanation:

Replace f(x) with y to find the properties of the parabola

The answer would be y=4(x-1)^2-9

Answer:

B. x + y = 14 and x - y = 2

Step-by-step explanation:

Sum means addition, so the sum of the tens digit (x) and the ones digit (y) is equal to 14 (x + y = 14).

Difference means subtraction, so the difference between the tens digit (x) and the ones digit (y) is 2 (x - y = 2).

I hope this helps =)

Answer:

Option B. will be the answer.

Step-by-step explanation:

If the tens digit is x and ones digit is y, then the number formed will be xy.

Now we fill form the equations as per statements given in the question.

"The difference between tens and unit digits is 2"

x - y = 2 --------(1)

"Sum of the digits of two digit number is 14"

x + y = 14 -------(2)

Therefore, system of equations will be as the given equations 1 and 2.

Option B is the answer.

Answer:

its 18

Step-by-step explanation:

6+12=18

lol

Answer:

y = 18

Step-by-step explanation:

Just let x = 12

y = 6 + x

y = 6 + 12

y = 18

When x = 12, y = 18.

The graph is included to show you what y = 6 + x looks like and it also shows the point (12,18) = (x,y)

Answer:

2 2/3+ 3 1/3 = 6. Multiply 6 by 4 weeks. 24 as your whole number.

Step-by-step explanation:

Final answer:

Mary spends a total of 24 hours on math and art homework combined over a period of 4 weeks.

Explanation:

Mary spends 2 2/3 hours on math homework and 3 1/3 hours on art homework each week.

To find out how much time she spends on both subjects over 4 weeks, first, we add the weekly hours:

2 2/3 + 3 1/3 = 6 hours per week.

Next, we multiply this weekly total by 4 to determine the monthly total: 6 hours/week × 4 weeks = 24 hours.

Therefore, Mary spends a total of 24 hours on math and art homework over 4 weeks.

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\implies \stackrel{\textit{8\% of (s)ales}}{\left(\cfrac{8}{100} \right)s}\qquad \qquad \begin{cases} c=commission\\ s=total~sales \end{cases}[/tex]

[tex]\bf \stackrel{\textit{her (c)ommision is 8\% of (s)ales}}{c = \cfrac{8}{100}s\implies c=\cfrac{8s}{100}}\implies \stackrel{\textit{we know she made 2560 in commision}}{2560=\cfrac{8s}{100}\implies 256000=8s} \\\\\\ \cfrac{256000}{8}=s\implies 32000=s[/tex]

Answer:

[tex]V=120\ units^3[/tex]

Step-by-step explanation:

we know that

The volume of a prism is equal to

[tex]V=BL[/tex]

where

B is the area of the base of the prism (triangular base in this problem)

L is the length of the prism (perpendicular distance between the top and the bottom)

Find the area of the triangular base B

[tex]B=\frac{1}{2}(3)(4)=6\ units^2[/tex] ---> area of a triangle

we have

[tex]L=20\ units[/tex]

substitute in the formula of volume

[tex]V=6(20)=120\ units^3[/tex]

Note The problem does not specify whether the measurements are in centimeters or in units, so I assume they are in units.

[tex]10-4n=x[/tex]

Hope this helps.

Brainliest would help me as well.

Final answer:

The number of eggs Ty has left after making 4 servings of scrambled eggs, using n eggs for each serving, is represented by the algebraic expression 10 - 4n.

Explanation:

To determine the number of eggs Ty has left after making scrambled eggs, we need to use a simple algebraic expression. If Ty started with 10 eggs and used n eggs for each of the 4 servings, we can represent the number of eggs used in total as 4n.

To find the number of eggs remaining, we subtract the total number of eggs used from the initial number of eggs:

Number of eggs remaining = Initial number of eggs - Number of eggs used

Number of eggs remaining = 10 - 4n

Answer:

[tex]\left(gof\right)\left(0\right)=16[/tex]

Step-by-step explanation:

Given functions are [tex]f\left(x\right)=-3x+4[/tex] and [tex]g\left(x\right)=x^2[/tex].

Using both functions we need to find about what is the value of [tex]\left(gof\right)\left(0\right)[/tex]. That can be done as shown below:

[tex]\left(gof\right)\left(0\right)[/tex]

[tex]=g\left(f\left(0\right)\right)[/tex]

[tex]=g\left(-3\left(0\right)+4\right)[/tex]

[tex]=g\left(0+4\right)[/tex]

[tex]=g\left(4\right)[/tex]

[tex]=4^2[/tex]

[tex]=16[/tex]

Hence final answer is [tex]\left(gof\right)\left(0\right)=16[/tex].

ANSWER

[tex]\frac{ {y}^{2} }{49} + \frac{ {x}^{2} }{ 16 } = 1[/tex]

EXPLANATION

The given ellipse has a vertex at (0, -7), a co-vertex at (4,0), and a center at the origin.

The equation of an ellipse with vertex on the y-axis and center at the origin is given by

[tex]\frac{ {y}^{2} }{a ^{2} } + \frac{ {x}^{2} }{ {b}^{2} } = 1[/tex]

[tex]\frac{ {y}^{2} }{( - 7) ^{2} } + \frac{ {x}^{2} }{ {4}^{2} } = 1[/tex]

[tex]\frac{ {y}^{2} }{49} + \frac{ {x}^{2} }{ 16 } = 1[/tex]

The equation of the ellipse with a vertex at (0, -7), a co-vertex at (4,0), and a center at the origin is x^2/16 + y^2/49 = 1.

To find the equation of the ellipse in standard form, we need to identify the lengths of the major and minor axes. The given vertex at (0, -7) indicates that the semi-major axis length, a, is 7 because the distance from the center to a vertex measures the semi-major axis. Similarly, the co-vertex at (4, 0) represents the semi-minor axis length, b, which is 4.

Since the center is at the origin (0, 0), the standard form of the ellipse equation is given by x^2/b^2 + y^2/a^2 = 1. Plugging the values of a and b, we get x^2/4^2 + y^2/7^2 = 1. So, the equation of the ellipse is x^2/16 + y^2/49 = 1.