What is the solution to this system of equations?

x + 2y − z = 3
2x − y + 2z = 6
x − 3y + 3z = 4

Answer:

The area of the triangle is basically half the area of the square, so we only need to find the area of the square and divide it by 2:

S = (15 · 15)/2 = 112.5 (square units)

Answer:

112.5 square units

Step-by-step explanation:

Area = 1/2bh

where b = 15 and h = 15 (you can look at the graph)

So A = 1/2(15)(15) = 225/2 = 112.5 square units

Answer

112.5 square units

Answer:

1)he maximum height your feet will be above the ground is 12

2)Will you be able to dunk the ball= yes

Step-by-step explanation:

Given:

In order to dunk the basket ball, height needed to jump= 2.5 feet

The height that your feet need to be of the ground is given by the function h(t)= -16t^2+12

1) the maximum height your feet will be above the ground=?

Given function of height,h(x)=-16t^2+12

finding maximum of the above function

The maximum of any function written in form of ax^2+bx+c is given by

max= c - (b2 / 4a)

Putting values c=12, b=0 and a=16, we get

max= 12-(0^2/4(-16))

      = 12 -0

      =12 feet

he maximum height your feet will be above the ground is 12 feet.

2)  Will you be able to dunk the ball=?

As the maximum height the feet will be above the ground is 12 feet which is greater than the height needed to jump in the air to dunk the ball 2.5 feet  i.e.

12>2.25

hence yes you will not be able to dunk the ball !

Answer:

84 and 36

Step-by-step explanation:

The ratio of two numbers is 7:3.

We don't know what the numbers are, but since their ratio is 7:3, we can let the numbers be 7x and 3x. Notice that the ratio between 7x and 3x is 7x/3x = 7/3, so we still have the same ratio, 7:3.

The difference between the numbers is 48.

7x - 3x = 48

4x = 48

x = 12

7x = 7(12) = 84

3x = 3(12) = 36

The numbers are 84 and 36.

Check:

7/3 = 2.333...

84/36 = 2.333...

84 and 36 are int he same 7:3 ratio as 7:3.

84 - 36 = 48

The difference between 84 and 36 is 48 like the problem states.

This shows our answer, 84 and 36, is correct.

Hi, hope you’re having a good day today!!!

Answer:

84:36

(The explanation is really really long, so you may want to skip it, unless this is a test or you want a better understanding then, yeah)

So first, you have 7:3

Then, you have to multiply both by the same number to get an equal ratio to 7:3,

Let’s try 7*10=70 and 3*10=30 70-30=40, so you know that the answer is close,

Then, let’s try 7*11=77 and 3*11=33, subtract and you get 44. Nope, not the answer

So, finally let’s try 7*12=84 and 3*12=36, and 84-36=48!!!!

So, the answer is explained! Wait, but you still have to put them like ratios (if this chapter is ratios and proportions)

84:36 or 84 to 36, either way.

Answer:

9/20

Step-by-step explanation:

You set the fraction up at first as 45/100. Then you know that 5 goes into each so you divide by 5 [tex]\frac{45}{100} /5[/tex]

45/5=9

100/5=20

You get 9/20, and this is in simplest form.

0.45/1

Then multiply top and bottom by 100.

45/100

Then simplify!

45/100 divide top and bottom by 5.

9/20

to translate a graph up you need to add the amount you want to move it to the end of the equation, not to the variable.

The answer would be y = sin x + π

Answer:

B

Step-by-step explanation:

y=sinx+pi

Answer:

petunias, snapdragons, then pansy

Step-by-step explanation:

Ok first, lets find the percentage of 18 out of 40: 18/40= 0.45

The 21 out of 50= 21/50= 0.42

Lastly, 12/30= 0.40

And its very simple to put from least to greatest:

0.40, 0.42, 0.45

Hope this helped ;)

The answer is petunias, snapdragons, then pansies.

Hope this helps!

Answer:

53,286 yards

Step-by-step explanation:

69.6x69.6x33/3

The volume of the square pyramid is [tex]53,286[/tex] yards.

What is volume of the square pyramid?

The volume of a square pyramid is one-third of the product of the area of the base and the height of the pyramid.

               [tex]V=\frac{1}{3} b^{2} h[/tex]

From the given,

The length of the base [tex]b[/tex] is [tex]$69.6\,\text{yards}$[/tex].

Height [tex]h[/tex] is, [tex]$33\,\text{yards}$[/tex].

We have to find [tex]V[/tex].

So,

[tex]$V=\frac{1}{3}{{\left( 69.6 \right)}^{2}}\cdot 33$[/tex]

[tex]$\therefore V=53286$[/tex]

Hence, the volume of the square pyramid is [tex]53,286[/tex] yards.

Learn about more volume of the square pyramid:

https://brainly.com/question/12527607?referrer=searchResults

#SPJ2

Answer:

[tex]x=4+-2\sqrt{7}[/tex]

Step-by-step explanation:

To solve, we need to take square root of both sides first:

[tex](x-4)^2=28\\\sqrt{(x-4)^2} =+-\sqrt{28} \\x-4=+-\sqrt{28}[/tex]

Now we use the property of radical shown below to simplify square root of 28:

Property:  [tex]\sqrt{x*y}=\sqrt{x} \sqrt{y}[/tex]

Now, we have:

[tex]x-4=+-\sqrt{28}\\x-4=+-\sqrt{4*7}\\x-4=+-\sqrt{4}\sqrt{7}\\x-4=+-2\sqrt{7}[/tex]

Now we take 4 to the other side and isolate x:

[tex]x-4=+-2\sqrt{7} \\x=4+-2\sqrt{7}[/tex]

first answer choice is right.

The answer is:

The correct answer is the first option.

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

To solve the problem, we must remember the following square root property:

[tex]\sqrt{ab}=\sqrt{a}\sqrt{b}[/tex]

So,

We are given the expression:

[tex](x-4)^{2}=28[/tex]

Now, isolating we have:

First, applying square root to both sides of the equation in order to simplify the quadratic term, we have:

[tex]\sqrt{(x-4)^{2} }=\sqrt{28}\\(x-4)=\sqrt{4*7}\\\\x=4+-(\sqrt{4}*\sqrt{7})\\\\x=4+-2\sqrt{7}[/tex]

Hence, the correct answer is the first option.

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

Have a nice day!

Answer:

Infinitely many solutions / All real numbers

Step-by-step explanation:

2(3x+5)=6x+10

Then, Distribute

6x+10=6x+10

Therefore, it is infinitely many solutions / all real numbers

For this case we must solve the following equation:

[tex]2 (3x + 5) = 6x + 10[/tex]

We apply distributive property to the left side of the equation:

[tex]6x + 10 = 6x + 10[/tex]

It is observed that we have an identity, that is, the terms on the right side are equal to the terms on the left side of the equation. Then, the equation has infinite solutions

Answer:

Infinite solutions

Answer:

Step-by-step explanation:

We have:

two trapezoids with bases 15ft and 7ft and height 5ft.

four rectangles 5ft × 11ft, 15ft × 11ft, 9.4ft × 11ft and 7ft × 11ft.

The formula of an area of a trapezoid:

[tex]A_t=\dfrac{b_1+b_2}{2}\cdot h[/tex]

b₁, b₂ - bases

h - height

Substitute:

[tex]A_t=\dfrac{15+7}{2}\cdot5=\dfrac{22}{2}\cdot5=(11)(5)=55\ ft^2[/tex]

The formula of an area of a rectangle:

[tex]A_r=lw[/tex]

l - length

w - width

The dimensions of rectangle l × w

Subtitute:

[tex]A_1=(5)(11)=55\ ft^2\\\\A_2=(15)(11)=165\ ft^2\\\\A_3=(9.4)(11)=103.4\ ft^2\\\\A_4=(7)(11)=77\ ft^2[/tex]

The surface area of the figure:

[tex]S.A.=2A_t+A_1+A_2+A_3+A_4\\\\S.A.=2(55)+55+165+103.4+77=510.4\ ft^2[/text]

Answer:

1. Cluster sampling

2. When finding a fair sample

3. Simple random sampling

Answer:

C

Step-by-step explanation:

The square root of 39 is ~6.25 so 6 is closest

Answer:

2

Step-by-step explanation:

Think:  2.39 is sandwiched between the perfect squares 1 and 4.

The difference between 1 and 4 is 3.  From 1 to 2.39 is a step of 1.39; from 2.39 to 4 is a step of 1.61.  Therefore, 2.39 is closer to 1 than to 4, and we estimate 2.39 to be 2 (to the nearest integer).

Answer:

0

Step-by-step explanation:

Example : [tex]\frac{2}{5} -  \frac{2}{5}[/tex] = 0

Answer:

x = 4

Step-by-step explanation:

Combining like terms, we get 4x = 16, and so x = 4.

Answer: The answer is 4.

Step-by-step explanation: The way I got my answer was by isolating the variable by dividing each side by factors that don't contain the variable. I also have a website that you can use to help you! (if you want it, just ask me and I can provide it to you!)

I hope this info helps you! :D

Answer:

Step-by-step explanation:

the survey represents quantative data

The statement which is true about the frequency is About one-fourth of the cable-television customers are not satisfied.

The correct option is (D).

Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.

The first statement doesn't satisfy.

The second statement is wrong because the greatest customers of cable television are not satisfied.

The third statement is also wrong because the customers surveyed for the cable television is less than half the total customers surveyed

The fourth statement is correct because,

=[tex]\frac{1}{4}[/tex] * 1109

= 277.25 which is very close to 285.

Hence, About one-fourth of the cable-television customers are not satisfied.

Learn more about frequency here:

https://brainly.com/question/14472943

#SPJ2

Answer:

0

Step-by-step explanation:

0 times anything is zero

ANSWER

x=-1.2 or x=1.6

EXPLANATION

The given equation is:

[tex] 5{x}^{2} - 2x - 10 = 0[/tex] Group and combine the constant terms:

[tex]5{x}^{2} - 2x = 10 [/tex]

Divide through by 5

[tex]{x}^{2} - \frac{2}{5} x = 2[/tex]

Add the square of the coefficient of x to both sides:

[tex]{x}^{2} - \frac{2}{5} x + \frac{1}{25} = 2 + \frac{1}{25} [/tex]

The left hand side is now a perfect square

[tex]( {x - \frac{1}{5} })^{2} = \frac{51}{25} [/tex]

Take square root:

[tex]{x - \frac{1}{5} }=\pm \sqrt{\frac{51}{25}} [/tex]

[tex]{x = \frac{1}{5} }\pm \frac{ \sqrt{51} }{5}[/tex]

[tex]{x = \frac{1}{5} } - \frac{ \sqrt{51} }{5} \: or \: \: {x = \frac{1}{5} } + \frac{ \sqrt{51} }{5}[/tex]

x=-1.2 or x=1.6

Check the picture below.

[tex]\bf \displaystyle\int\limits_{-2}^{2}~[\stackrel{\textit{above function}}{(10-x^2)}~~-~~\stackrel{\textit{below function}}{(x^2+2)}]dx\implies \int\limits_{-2}^{2}~(10-x^2-x^2-2)dx \\\\\\ \displaystyle\int\limits_{-2}^{2}~(8-2x^2)dx\implies \left. 8x\cfrac{}{} \right]_{-2}^{2}-\left. \cfrac{2x^3}{3} \right]_{-2}^{2} \\\\\\ ([16]-[-16])~~-~~\left( \left[ \cfrac{16}{3} \right]-\left[ -\cfrac{16}{3} \right]\right)\implies (32)~~-~~\left( \cfrac{32}{3} \right) \\\\\\ \cfrac{64}{3}\implies 21\frac{1}{3}[/tex]

radius is half the breadth of box ie 2.5 cm height of cylinder is length ie 15 cm

so volume of cylinder =pi(r^2)h

ie 93.75pi cm^3

The exact volume of the cylinder is 93.75pi cm^3.

The question is incomplete the complete question is,

What is the exact volume of the cylinder? Where radius is  5cm and height is 15cm. Enter your answer, in terms of π, in the box.

We have given that,

The radius is half the breadth of the box ie 2.5 cm height of the cylinder is length ie 15 cm.

We have to determine the  volume of a cylinder

Volume of the cylinder =pi(r^2)h

Use the given value in the above formula so we get,

[tex]V=\pi (2.5)^2(15)\\[/tex]

V= 93.75pi cm^3

Therefore the exact volume of the cylinder is 93.75pi cm^3.

To learn more about the volume of the cylinder visit:

https://brainly.com/question/9554871

#SPJ2

Answer:

144

Step-by-step explanation:

Ok. I love problems like this.

You just have to find the surface are of each part and add it up!

To find the surface area of a rectangle, you multiple the base and the height. To find the surface area of a triangle, you multiple the base and height, and divide by 2 (because its half of a rectangle).

Left rectangle: 3*ll=33

Middle rectangle: 4*ll=44

Right rectangle: 5*ll=55

Top triangle: 3*4=12

                      12/2=6

Bottom triangle: 3*4=12

                           12/2=6

ADD THEM ALL!!! 33+44+55+6+6=144

(Also can I please please please have brainliest? I need it to level up!)

Answer:

[tex]\large\boxed{24\ cubes}[/tex]

Step-by-step explanation:

[tex]\bold{METHOD\ 1}\\\\\text{Calculate the volume of a prism:}\\\\V_{p}=(1)(2)\left(\dfrac{3}{2}\right)=3\ cm^3\\\\\text{Calculate the volume of a cube:}\\\\V_c=\left(\dfrac{1}{2}\right)^3=\dfrac{1}{8}\ cm^3\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\\dfrac{V_p}{V_c}=\dfrac{3}{\frac{1}{8}}=3\cdot8=24[/tex]

[tex]\bold{METHOD\ 2}\\\\1cm:\dfrac{1}{2}m=1\cdot2=2\\\\2cm:\dfrac{1}{2}cm=2\cdot2=4\\\\\dfrac{3}{2}cm:\dfrac{1}{2}cm=\dfrac{3}{2}\cdot\dfrac{2}{1}=3\\\\2\cdot4\cdot3=24\ (cubes)[/tex]

neither tbh lol and yea ok

Answer:

y=3/2and x =2

Step-by-step explanation:

Answer:

c. 32

Step-by-step explanation:

Answer:

The time that the computer take to carry out one sum is 4.63 nanoseconds and the time that the computer take to carry out one product is 4.56 nanoseconds

Step-by-step explanation:

Let

x----> the time that the computer take to carry out one sum

y----> the time that the computer take to carry out one product

we know that

7x+10y=78 ------> equation A

4x+8y=55 -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (4.625,4.563)

see the attached figure

therefore

The time that the computer take to carry out one sum is 4.63 nanoseconds

The time that the computer take to carry out one product is 4.56 nanoseconds

Answer:

[tex]y=\frac{1}{36}x^2[/tex]

Step-by-step explanation:

The focus of the parabola is (0,9)

and the directrix is y=-9.

The equation of this parabola is given by:

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

The vertex of this parabola is at the origin.

The value of p is the distance from the vertex to the focus.

p=9-0=9

The equation of the parabola is

[tex]x^2=4(9)y[/tex]

[tex]x^2=36y[/tex]

Or

[tex]y=\frac{1}{36}x^2[/tex]

Answer:

x=12

Step-by-step explanation:

Area of the square

A = x^2

Area of the rectangle

A = (2x-8) (x-3)

Foil

A = 2x^2 -6x -8x +24

  = 2x^2 -14x+24

The areas are equal

x^2 =  2x^2 -14x+24

Subtract x^2 from each side

x^2 - x^2 =  2x^2-x^2 -14x+24

0 = x^2 -14x -24

Factor

0 = (x-12) (x-2)

Using the xero product property

x-12= 0   x-2 =0

x=12  x=2

But looking at the rectangle

x-3 is a side length

2-3 is negative so x cannot equal 2

x=12

Answer:

M2

Step-by-step explanation:

duh

4 congruent sides, each 10 m, so perimeter 10+10+10+10 =

Answer: 40 m

[tex]f(x)=2x\Rightarrow y=2x[/tex]

Hope this helps.

Brainly would help me.

Answer:

y=2x

Step-by-step explanation:

the slope-intercept formula is y=mx+b, where m is the slope(rise over run) and b is the y-intercept, which then becomes y=2(2/1 because it goes up by 2 and right by 1)x+0, or simply y=2x, hope this helps! :D