Tamara found the solution of x^2=64 to be x=8.

What mistake did Tamara make in finding her solution?

A. She found the incorrect square root of 64.

B. She only found the square root of one side of the equation.

C. She only found the positive square root, not the negative square root

D. She found the cube root of 64 instead of the square root.

and D is not the answer

Answer:

Step-by-step explanation:

[tex]f(v)=v^2+5v+6\\\\\text{The x-intercept is for y = 0.}\\\\v^2+5v+6=0\\\\v^2+2v+3v+6=0\\\\v(v+2)+3(v+2)=0\\\\(v+2)(v+3)=0\iff v+2=0\ \vee\ v+3=0\\\\v+2=0\qquad\text{subtract 2 from both sides}\\v=-2\\\\v+3=0\qquad\text{subtract 3 from both sides}\\v=-3[/tex]

Let c = angle TPS

This angle adds to angle 'a' to get a+c = 90. We know these angles are complementary because triangle PQR is a right triangle. The acute angles of a right triangle add to 90.

We also know that b+c = 90 for similar reasons. Triangle PST is a right triangle.

So we have these two equations

a+c = 90

b+c = 90

If we were to subtract straight down then we would end up with

a-b = 0

which solves to

a = b

after adding b to both sides

Answer:

A) 4

Work is shown in attached sheet! :)

Answer:

Option A is correct

Common ratio = 4

Step-by-step explanation:

Common ratio(r) : In a geometric series, the common ratio is the ratio of a term to the previous term.

[tex]r = \frac{a_2}{a_1}=\frac{a_3}{a_2}= \frac{a_4}{a_3}=.....[/tex]

As per the statement:

The values in the table represent a exponential function.

Since, Geometric sequences and exponential functions are very closely related to each other.

At x= 1;

y = 9

At x = 2;

y = 36 and so on....

By definition we have;

[tex]r = \frac{36}{9} =\frac{144}{36}=......[/tex]

After solving we get;

r  =4

Therefore, the common ratio of the associated geometric is, 4

Answer:

8.398

Step-by-step explanation:

If you are uncertain, you can do this with your calculator. However both numbers doing the dividing are powers of 10 so you can just move the decimal

8398 / 10 = 839.8 Move the decimal 1 place.

839.8/100 = 8.398 Move the decimal 2 places.

In both instances, move the decimal left.

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf 12x^4\cdot -\cfrac{5}{6x^3y^2}\implies -\cfrac{12\cdot 5\cdot x^4}{6x^3y^2}\implies -\cfrac{12}{6}\cdot \cfrac{5}{1}\cdot \cfrac{x^4}{x^3y^2}\implies -2\cdot 5\cdot \cfrac{x^4x^{-3}}{y^2} \\\\\\ -10\cdot \cfrac{x^{4-3}}{y^2}\implies -10\cdot \cfrac{x}{y^2}\implies -\cfrac{10x}{y^2}[/tex]

we know the blue and white paints are on a 1.5 : 5 ratio, thus, if we have a total of 16.25 gallons of paint to be split along that ratio, we can simply divide 16.25 by (1.5+5) and distribute accordingly.

[tex]\bf \cfrac{blue}{white}\qquad \stackrel{ratio}{1.5:5}\qquad \cfrac{1.5}{5}~\hspace{5em}\cfrac{1.5\cdot \frac{16.25}{1.5+5}}{5\cdot \frac{16.25}{1.5+5}}\implies \cfrac{1.5\cdot \frac{16.25}{6.5}}{5\cdot \frac{16.25}{6.5}} \\\\\\ \cfrac{1.5\cdot 2.5}{5\cdot 2.5}\implies \cfrac{3.75}{12.5}\qquad \qquad \boxed{\stackrel{blue}{3.75}~:~\stackrel{white}{12.5}}[/tex]

To find out how much of each color to mix, set up a proportion and solve for x. You will need 3.75 gallons of blue paint and 12.5 gallons of white paint.

To find out how much of each color to mix, we can set up a proportion.

Let's say x represents the amount of blue paint needed, and y represents the amount of white paint needed.

We can set up the following equation:

1.5 quarts / 5 quarts = x gallons / (16.25 - x) gallons

Cross multiplying gives us:

5x = 1.5(16.25 - x)

Simplifying the equation gives us:

5x = 24.375 - 1.5x

Combining like terms gives us:

6.5x = 24.375

Dividing both sides by 6.5 gives us:

x = 3.75

So, you will need 3.75 gallons of blue paint and 16.25 - 3.75 = 12.5 gallons of white paint.

Answer:

A^2+B^2=C^2

B^2=C^2-A^2

B=SQRT(C^2-A^2

Step-by-step explanation:

Answer:

[tex]b=\sqrt{c^2-a^2}[/tex].

Step-by-step explanation:

The given expression is [tex]c^2=a^2+b^2[/tex].

We want to solve this equation for [tex]b[/tex] , we subtract [tex]a^2[/tex] from both sides of the equation.

[tex]c^2-a^2=b^2[/tex].

We take the square root of both sides to get;

[tex]\pm \sqrt{c^2-a^2}=b[/tex].

Note however that; if b represents one of the legs of a right triangle or any non negative quantity, then

[tex]b=\sqrt{c^2-a^2}[/tex].

Small cooler can hold= 6 gallons

and big cooler can hold= 30 gallons

Let the numbers of gallons hold by a small cooler is: x gallons

and the number of gallons hold by a bigger cooler is: 5x gallons.

( Since it was given that:

The bigger cooler is 5 times as large as the smaller cooler  )

Also the total number of gallons of punch for a party is: 36 gallons

Hence, we get:

   x+5x=36

i.e.  6x=36

On dividing both side by 6 we get:

   x=6

Hence, the number of gallons hold by small cooler is: 6 gallons

and number of gallons hold by big cooler is: 5×6=30 gallons

Answer:

a variable numerator

Step-by-step explanation:

Answer:

Before an algebraic fraction is selected as a final answer we check that the fractions are reduced with all common factors canceled.

Step-by-step explanation:

Before an algebraic fraction is selected as a final answer, we check that the answer is in the form of p/q, where q≠0 and HCF(p,q)=1.

Let a algebraic equation is

[tex]4x+4=18[/tex]

Subtract 4 from both sides.

[tex]4x=14[/tex]

Divide both sides by 4.

[tex]x=\frac{14}{4}[/tex]

Now cancel out the common factors.

[tex]x=\frac{7}{2}[/tex]

The final answer in algebraic fraction is 7/2.

Therefore, before an algebraic fraction is selected as a final answer we check that the fractions are reduced with all common factors canceled.

Answer:

Step-by-step explanation:

Factor all the factors making up the square root.

108: 2*2*3*3*3

a^7: a*a*a*a*a*a*a

b^5:b * b * b * b * b

The rule for taking a square root of this is

For every pair, you get to take one number outside the root sign and throw the other one away.

2*3*a * a * a* b * b√(3*a * b)

6a^3b^2 * √(3*a*b)

Answer:

16x^2

Step-by-step explanation:

To find the area of a square, we use the formula

A = s^2  where s is the side length

A = (4x)^2

A = 16x^2

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ First, you need to find how to find the area.

length*width

Since all sides of a square are the same:

4x*4x

16x^2 is the area of the square.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ TROLLER (don't worry, I didn't troll you)

[tex]3(x+4)=3x+12[/tex

Answer:

3x + 12

Step-by-step explanation:

3(x+4) => (3 · x) + (3 · 4) => 3x + 12

Answer:

6/7

In decimal form it would be 0.85714285714

Answer:

6/7

Step-by-step explanation:

Add 2/7 and 8/14:

Recognize that the LCD is 14.  Rewrite 2/7 as 4/14.

Then 4/14 + 8/14 = 12/14.  This reduces to 6/7.

Ken ate 6/7 of the chocolate bar in two days.

if we look on one side, we already have one measurement. 4 cm. ok, that's the measurement on that side. look to the left now. that other side is also the same length, so we take that number and multiply it be 2 to get

[tex]4 \times 2[/tex]

Wait! we're not done yet. look at the top. do you see the 3? well that's the width for the top of the rectangle. the bottom must be the same to right? so we get

[tex]3 \times 2[/tex]

add both equations and you get

[tex](4 \times 2) + (3 \times 2)[/tex]

The answer is 14cm! Don't forget to label. ;)

Answer:

The value of b = 1/36

As exponent decreases, each previous value is divided by 6

If the table was extended, the value of 6^-3 would be 1/216

Step-by-step explanation:

Given in the question a table containing power of 6

We will use negative rule of exponent to write the equivalent of negative power of 6

b^{-n}= 1 / b^{n}

we know that

[tex]6^{1} = 6[/tex]

so

[tex]6^{-1} = \frac{1}{6^{1} }[/tex]

= 1/6

and

[tex]6^{2} = 36\\[/tex]

So,

[tex]6^{-2} = \frac{1}{6^{2} }[/tex]

= [tex]\frac{1}{36}[/tex]

Answer:

20 + 8 + 0.1 + 0.09

Step-by-step explanation:

Answer:

20 + 8 + 0.1 + 0.09

20 wholes +8 wholes =28 then...

.1 tenth+.09 hundereths=.19 add..

28+.19=.  28.19

Answer:

D. 720 cm

Step-by-step explanation:

20/10 = x / 360

2 = x / 360

x = 360 * 2

x = 720

Answer

D. 720 cm

The circumference of a circle is greater than the length of any of its arcs. Without knowing what fraction of the circle's circumference the arc makes up, it's impossible to calculate the exact circumference from the arc length.

The arc length 's' is the distance traveled along a circular path, and the radius of curvature 'r', is the radius of the circular path. The circumference of a circle can be found using the formula 2πr, and the length AB, if it corresponds to the minor arc, can be the fraction of the entire circle. This fraction is determined by the relation between the length of the arc and the full circumference. Thus, if the length of AB is 20cm, then we can infer that 2πr (the full circumference) is greater than 20cm.

To find the exact value you'd need to know what fraction of the circle the minor arc AB represents. Without this information, we can only conclude that the length of the minor arc is smaller than the circumference (2πr) of the whole circle.

https://brainly.com/question/33875792

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Minimum is 4 maximum is 10 lower quartile is 5 upper quartile is 9 median is 6 and IQR is 6 as well I think

Answer:

Minimum: 4

Maximum: 10

Median: 6

Lower Quartile: 5

Upper Quartile: 9

IQR: 4

Step-by-step explanation:

Minimum: 4

Maximum: 10

Median: 6

Lower Quartile: 5

Upper Quartile: 9

IQR: 4

IQR = Upper quartile - lower quartile

Answer:

The area of that face is 28

Step-by-step explanation:

because 10 x 2 = 20 and 2x2=4 and 2x2=4 so add all those up together and you get 28

Answer:

[tex]28in^{2}[/tex]

Step-by-step explanation:

We can divide the yellow area in one rectangle and two squares. The dimensions of the rectangle is 10in by 2in, because the base of such rectangle is found by subtracting 4 inches and 2 inches, that would give us the measure of the base of the rectangle.

So, the area of the rectangle is

[tex]A_{r}= 10in \times 2in = 20in^{2}[/tex]

Now, the dimensions of the square is 2 inches by 2 inches, according to the graph. So, the area of each square is

[tex]A_{s}=2in \times 2in = 4in^{2}[/tex]

The total area would be

[tex]A_{total}= A_{r}+ 2A_{s}= 20in^{2}+2 (4in^{2} )=20in^{2} +8in^{2} = 28 in^{2}[/tex]

Therefore, the right answer is [tex]28in^{2}[/tex]

The y-intercept is the Y coordinate when X = 0

replace x with 0 and solve for Y:

y = 3/2(0)-5 = -5

The first point using the Y-intercept would be (0,-5)

Now to find another point replace X with another number other than 0 and solve for Y.

Lets use 2:

y = 3/2(2) - 5

y = 3-5 = -2

The second point would be (2,-2)

Now plot those two points and connect with a line.

See attached picture of how it should look:

Answer: 9 or -9 it can be both

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

the square root is fundamentally just what two numbers multiply together to make the number within the square root

9 x 9 = 81

so 9 is the square root

also think of the root of the square

9^2 the root in this case is the nine and te answer is 81

Answer:

x = -6   x=4

Step-by-step explanation:

x^ 2 + 2 x = 24

Subtract 24 from each side

x ^2 + 2 x-24 = 24-24

x^2 +2x -24 = 0

Factor

What 2 numbers multiply to -24 and add to 2

6*-4 = -24

6+-4 = -2

(x+6) (x-4) =0

Using the zero product property

x+6 =0           x -4=0

x+6-6=0-6     x-4+4=0+4

x = -6   x=4

Answer:

The volume of cube =  x³ -6x²y + 12xy² - 8y³

Step-by-step explanation:

It is given that,

Side length of cube s = (x - 2y)

Volume of cube = s³

Points to remember

(a - b)³ = a³ - 3a²b + 3ab² - b³

To find the volume of cube

s = (x - 2y)

Volume V = s³ = (x - 2y)³

(x - 2y)³ = x³ - (3 * x² * 2y) + (3 * x * (2y)²) - (2y)³

  = x³ -6x²y + 12xy² - 8y³

Therefore the volume of cube =  x³ -6x²y + 12xy² - 8y³

Answer:

[tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]

Step-by-step explanation:

We are given that the side length (s) of a cube is [tex]x-2y[/tex]. Given that [tex]V=s^3[/tex], we are to find the volume of the cube.

[tex]Volume =  (x-2y)^3[/tex]

We know that, [tex](a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3[/tex]

So expanding the given expression accordingly:

[tex](x-2y)^3 = x^3 - (3 \times x^2 \times 2y) + (3 \times x \times (2y)^2) - (2y)^3[/tex]

Volume of cube = [tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]

Answer:

The unit rate is 0.11 $/ounce

Step-by-step explanation:

we know that

To find the unit rates divide the total cost by the total volume

so

(6/54)=0.11 $/ounce

Answer:

I don't understand the question, but...

When you multiply a number by itself, you are squaring it.

For Example:

3 x 3= 9

is the same as...

3^2= 9

Answer: 5 cents less

Step-by-step explanation:

The unit price for the 24 pack would be $1.10 and the unit price for the 12 pack would be $1.15.

Answer:

0.05

Step-by-step explanation:

Answer:

Its the third choice.

Step-by-step explanation:

V = 1/3  pi r^2 h

= 1/3 pi 4^2 * 10

= (160/3) pi cm^3.

Answer:

third one:)

Step-by-step explanation:

i took the k12 test

Answer:

Step-by-step explanation: once you add up all the numbers you get 74. To find the mean add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count. Once you divide, you will get 18.5 as the answer for the mean

Answer:

The answer is 18.5.

Step-by-step explanation:

First, we have to add them all.

7 + 12 + 21 + 34 = 74

Next, we divide the sum by how many numbers we added (we added four numbers).

74 / 4 = 18.5.

I hope this helped! :-D

Answer:

100 $

Step-by-step explanation:

Hello

If

300 $ ----> 3 days

X -----------> 1 day

X = [300*1] / (3)

X = 100 $

Best regards

Median: Order the numbers from least to greatest and look in the center for the median; if two numbers add together than divide by 2

78,79,86,88,88,88,92,95, so the median is 88 because when 2 numbers are the same, you can just take the shortcut and say it because you are going to get the same number

The mode is 88

The mean is 86.75

And the range is 17

Can I have brainliest if it is correct plz?

Answer:

This person below is correct. (i wrote this so you could mark them brainliest cus you need 2 answers to be able to mark) :)

have a great day