Can someone help me with this problem? Please.

Answer:

If we consider real numbers, there is no solution.

If we take into account imaginary numbers, there are 2 solutions. [tex]x=8i, -8i[/tex]

Step-by-step explanation:

We can take 64 to the other side and then take the square root.

Thus, we have:

[tex]x^2+64=0\\x^2=-64\\x=\sqrt{-64}[/tex]

We CANNOT take the square root of a negative number, so there is no solution.

BUT, if we take into account Imaginary Numbers, we can solve:

[tex]x=\sqrt{-64} \\x=\sqrt{(-1)(64)} \\x=\sqrt{-1} \sqrt{64} \\x=8i[/tex]

Where [tex]\sqrt{-1} =i[/tex]

AND, we can take the positive and negative versions of 8i, since squaring would take it back to original.

So the answer would be 8i and -8i

Answer:

So the answer would be 8i and -8i

Answer: third option.

Step-by-step explanation:

By definition, translation is transformation in which you move the shape.

Then, you know that the rectangle on a coordinate plane is translated 5 units up and 3 units to the left.

Therefore, you must add 5 units to each y-coordinate and subtract 3 units to each x-coordinate.

So, keeping the above on mind, you can conclude that the rule that describe this translation is the shown below:

[tex](x,y)[/tex]→[tex](x-3,\ y+5)[/tex]

well, this is simple subtraction as it is! 12-5= 7 so 7 for animal. 14-5= 9 so 9 for flower. 9+7= 16! so your final answer is, 16.

Answer:

The fraction of her stickers that are not animal or flower is [tex]\frac{9}{24}[/tex]

Step-by-step explanation:

Topic: Fractions

Let A represent the fraction of stickers that are animals

Let S represent the remaining stickers including the flower stickers

Given

A = [tex]\frac{5}{12}[/tex]

To get the fraction of stickers that are not animal or flower, the summation of the fraction must be equal to 1.

Mathematically, A + S = 1;

By Substitution, A + S = 1 becomes

[tex]\frac{5}{12} + S = 1[/tex] ------ Collect like terms

[tex]S = 1 - \frac{5}{12}[/tex]

[tex]S = \frac{12 - 5}{12}[/tex]

[tex]S = \frac{7}{12}[/tex]

Hence, the fraction of her stickers that are not animal is [tex]\frac{7}{12}[/tex]

From the question, we have that [tex]\frac{5}{14}[/tex] of the remainder are flower stickers.

Let F = Flower Stickers

F = [tex]\frac{5}{14}[/tex] * S

F = [tex]\frac{5}{14}[/tex] * [tex]\frac{7}{12}[/tex]

F = [tex]\frac{5}{2}[/tex] * [tex]\frac{1}{12}[/tex]

F = [tex]\frac{5}{24}[/tex]

To get the fraction of stickers that are not animal or flower, the summation of the fraction must be equal to 1.

Mathematically, A + F + R= 1;

R = 1 - A - F

Where R represent the fraction of stickers that are not animal or flower

[tex]R = 1 - \frac{5}{12} - \frac{5}{24}[/tex]

[tex]R = \frac{24 - 10 - 5}{24}[/tex]

[tex]R = \frac{9}{24}[/tex]

Hence, the fraction of her stickers that are not animal or flower is [tex]\frac{9}{24}[/tex]

Answer:

Factoring  x=1 x=-5

Step-by-step explanation:

I would factor the equation

-1 *6 = -6

-1+6 =5

(x-1) (x+5) =0

Using the zero product property

x-1 =0    x+5 =0

x=1   x=-5

the answer to “1-1” is 0

Answer:

Yes. 1-1=0

Step-by-step explanation:

The steps are:

Step 1: Hold 1 finger up.

Step 2: Put that one finger down and that's what 1-1 is.

Hope this helps a LOT.

Answer:

The area of the picnic table is [tex]18.75\ ft^{2}[/tex] or [tex]18\frac{3}{4}\ ft^{2}[/tex]

Step-by-step explanation:

we know that

[tex]1\ yd= 3\ ft[/tex]

Let

L-----> the length of the table

W----> the width of the table

the area of the table is

[tex]A=LW[/tex]

Convert yards to feet

[tex]L=\frac{5}{6}\ yd=\frac{5}{6}*3=\frac{5}{2}\ ft[/tex]

[tex]W=3L[/tex]

[tex]W=3(\frac{5}{2})=\frac{15}{2}\ ft[/tex]

substitute in the formula

[tex]A=\frac{5}{2}(\frac{15}{2})=\frac{75}{4}=18.75\ ft^{2}[/tex]

To calculate the area of the picnic table, convert the length to feet and multiply by the width, also in feet, to find the area in square feet.

The student is asking about the area of a picnic table in square feet when the width is 3 times the length and the length is given as 5/6 yard. To find the area, first, calculate the width by multiplying the length of 5/6 yard by 3, which gives 5/2 yards (or 2.5 yards).

Since there are 3 feet in a yard, we convert the measurements to feet: 5/6 yard is equal to 5/6 * 3 feet, and the width is 2.5 * 3 feet. Next, multiply the length and width in feet to find the area.

It is important to note that converting measurements should retain unit consistency throughout the calculation.

Answer:

∠1 - 40°

Step-by-step explanation:

∠1 - 40°

b/c it's a right triangle and we have two angles given, 50° and 90°. Add them and subtract by 180° and get 40°.

∠2 - 140°

b/c an exterior (outside) angle is equal to the two most isolated / farthest angles added. The two most is angles are 105° and 35°, add them and get 140°.

∠3 - 40°

b/c ∠'s 1 and 3 are vertical angles meaning they're equal so since ∠1 is 40°, so is ∠3.

∠4 -

b/c ∠' s 2 and 4 are vertical angles meaning they're equal so since ∠2 is 140°, so is ∠4.

∠5 - 35°

b/c we have two angles, 105° and 40°. Add them and subtract by 180° and get 35°.

~~

I hope that helps you out!!

The measure of angle 5 is 72°.

An angle is the formed when two straight lines meet at one point, it is denoted by θ.

Given that,

Lines m and n are parallel,

Also, value of ∠2 = 40°, ∠3 = 68°

First determine the value of angle 5 First determine the value of angle 1,

Since, angle of a line = 180°

∠1 + ∠2 + ∠3 = 180°

∠1 + 40 + 68 = 180

∠1 + 108 = 180

∠1 = 72

Since, lines m and n are parallel,

∠1 = ∠5

∠5 = 72°

So, the value of angle 5 is 72°.

To learn more about Angle on:

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Answer:

Part a) The total volume is [tex]98\ ft^{3}[/tex]

Part b) [tex]84\ ft^{3}[/tex]

Step-by-step explanation:

Part a)

Find the total volume

we know that

The volume of a rectangular prism is equal to

[tex]V=LWH[/tex]

we have

[tex]L=3\frac{1}{2}\ ft=\frac{3*2+1}{2}=\frac{7}{2}\ ft[/tex]

[tex]W=3\frac{1}{2}\ ft=\frac{3*2+1}{2}=\frac{7}{2}\ ft[/tex]

[tex]H=8\ ft[/tex]

substitute in the formula

[tex]V=(\frac{7}{2})(\frac{7}{2})(8)=98\ ft^{3}[/tex]

Part b) If they are only going to fill the dunking booth 6/7 full, how many cubic feet of water will they need?

Multiply the total volume by 6/7

so

[tex]98(6/7)=84\ ft^{3}[/tex]

Answer:

Yellow: 50

Red: 25

Step-by-step explanation:

5:10

5 times 5 = 25

10 times 5 = 50

the answer is 1 / 12 I got this because I know that 1/2 equals a half so half of 12 is 6 so 6/12 is simply 1/2

Answer:

[tex]x=\frac{1}{12}[/tex]

Step-by-step explanation:

Let the unknown number be [tex]x[/tex].

The given equation then becomes;

[tex]\frac{5}{12} +x=\frac{1}{2}[/tex]

Group similar terms

[tex]x=\frac{1}{2}-\frac{5}{12}[/tex]

Collect the LCM on the Right Hand Side.

[tex]x=\frac{6-5}{12}[/tex]

This implies that;

[tex]x=\frac{1}{12}[/tex]

Answer:

A

Step-by-step explanation:

sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{7}{17.46}[/tex] ≈ 0.40 → A

Answer:

a^2 + b^2 = c^2 so

10^2 + 12^2 = Distance

100 + 144 = C^2

15.62 ft=C or the distance of slide

Step-by-step explanation:

Answer:

A. 120(3)t = 3,240; t = 3

Step-by-step explanation:

We are given that enrollment capacity for first year = 120

The school plans to triple the capacity every year.

Assuming t to be the number of years, the capacity for every t year will be [tex]3^t[/tex].

This is expressed by the equation [tex]120(3)^t = 3240[/tex]

Substituting t =3 in the above equation to get:

[tex]120(3)^3 = 120\times 27=[/tex] 3240

So the equation is true when t = 3.

Therefore, the correct answer option is A. 120(3)t = 3,240; t = 3.

Answer: the one your looking for is A

Answer: 2.35 square miles.

Step-by-step explanation:

To solve this exercise you must apply the formula for calculte the area of a sector in a circle, which is shown below:

[tex]A=r^2\pi(\frac{C}{360})[/tex]

Where C is the central angle in degrees and r is the radius.

Therefore, knowing that:

[tex]C=30\°\\r=\frac{6mi}{2}=3mi[/tex]

When you substitute values, you obtain the following result:

[tex]A=(3mi)^2\pi(\frac{30\°}{360})[/tex]

[tex]A=2.35mi^2[/tex]

Answer:

Area of sector = 2.355 miles²

Step-by-step explanation:

Formula:

Area of circle = πr²

Where r is the radius

Area of sector = πr²(C/360)

Where C is the angle of sector

It is given that radius of circle is 6 miles

To find the are of circle

Here diameter = 6 miles,

radius r = diameter/2 = 3 miles

Area = πr² = 3.14 * 3² = 28.26 miles²

To find area of sector

Here r = 3 and C = 30°

Area of sector = πr²(C/360) = 28.26*(30/360)

= 2.355 miles²

Answer:

-2x^2 - 2

Step-by-step explanation:

(6x^2 + 3) - (5 + 8x^2)

-2x^2 + 3 - 5

-2x^2 - 2

Answer: A WEAK NEGATIVE CORRELATION

Step-by-step explanation:

TOOK THE TEST

Answer:

eight cubes can be shipped.

Step-by-step explanation:

The height of the shipping box is the same as the height of the boxes that are about to be shipped. (4 1/2 inches). So you can get 1 layer of the boxes to be shipped.

The length of the shipping box is 18 inches. You will be able to get 18/4.5 = 4 boxes along the 18 inch side.

The 9 inch side will allow 2 boxes.

In all you can ship 2 * 4 boxes in the shipping box which is eight 4 1/2 inch cubes in all.

Do a box and split it into four then on 1/4 do 70, 1/4 do 6 then on the top side do 20 and 4 and multiply

Answer:

Step-by-step explanation:

[tex]3x^2-9x-12=0\qquad\text{divide both sides by 3}\\\\\dfrac{3x^2}{3}-\dfrac{9x}{3}-\dfrac{12}{3}=\dfrac{0}{3}\\\\x^2-3x-4=0\\\\x^2+x-4x-4=0\\\\x(x+1)-4(x+1)=0\\\\(x+1)(x-4)=0\iff x+1=0\ \vee\ x-4=0\\\\x+1=0\qquad\text{subtract 1 from both sides}\\x=-1\\\\x-4=0\qquad\text{add 4 to both sides}\\x=4[/tex]

Answer:

Smaller x = -1

Larger x = 4

Step-by-step explanation:

The cross section makes a circle.

The area of a circle is PI x r^2 where r is 1/2 the diameter.

10m / 2 = 5 m

Area = 3.14 x 5^2

Area = 3.14 x 25 = 78.5 square m.

Final answer:

To find out how much of the $13,000 was loaned at 8%, set up a system of equations based on the total amount of the loan and the total interest received. Solve the equations to find that $7,250 was loaned at an 8% interest rate.

Explanation:

The student is dealing with a problem related to the allocation of two different simple interest rates for portions of a loan. To find out how much was loaned at 8%, we set up two equations representing the amounts loaned at each rate and the total interest earned. Let's assume the amount loaned at 8% is x and the amount loaned at 16% is y. The following system of equations can be formed:

By solving this system of equations, we can determine the value of x and y.

The first step is to express y in terms of x from the first equation: y = 13000 - x. Next, we substitute this expression into the second equation: 0.08x + 0.16(13000 - x) = 1500. Simplifying this gives us 0.08x + 2080 - 0.16x = 1500, which further simplifies to -0.08x = -580. Dividing by -0.08, we find x = 7250. Therefore, $7,250 was loaned at 8%.

Answer:

27 views

Step-by-step explanation:

Week 1: 15 views

Week 2: 15 x 1.22 = 18.3 views

Week 3: 18.3 x 1.22 = 22.326 views

Week 4: 22.326 x 1.22 = 27.24 views

Answer:

Step-by-step explanation:

Better write, "Solve '4 is to 3 as x is to 20' for x."

x = 80/3

Writing out this equation of ratios, we get:

 4        x

------ = -----

  3       20

Cross multiplication here yields:

3x = 80, and then x = 80/3.

To solve this proportion problem, set up the equation 4/3 = x/20. Cross multiply and solve for x to get x = 80/3.

This is a proportion problem. We can set up the equation:

4/3 = x/20

To solve for x, we can cross multiply:

4 * 20 = 3 * x

80 = 3x

Divide both sides by 3 to solve for x:

x = 80/3

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Answer:

[tex]\frac{50}{113}[/tex]

Step-by-step explanation:

The ratio is simply the division of one by another (and simplification).

Hence, the ratio of production of the first line to the second line is 1250 divided by 2825. So,

Ratio = [tex]\frac{1250}{2825}=\frac{50}{113}[/tex]

Answer:

[tex]\frac{50}{113}[/tex] or [tex]0.442[/tex]

Step-by-step explanation:

We are given that a plant runs two assembly lines, the first one produces 1,250 units a day while the second produces 2,825 units a day.

We are to find the ratio of production of the first line to the second line.

To find this production ratio, we would just simply divide the the production unit of first line with the production unit of the second line.

Ratio of production of the first line to the second line = [tex]\frac{1250}{2825}[/tex] = [tex]\frac{50}{113}[/tex] or [tex]0.442[/tex]

Answer:

The answer is probably E (placebos)

Step-by-step explanation:

Because the sugar tablets will do nothing to the patient, the reasearcher wants to see how the patient will act thinking that they are being treated with medication, when infact it is just a sugar tablet, he is trying to find out the psychological effect it will have on the patient, so the answer is E.

The sugar tablets devoid of any medical effects are most likely used as placebos in medical research. They serve as a control measure in drug trials to ensure any observed changes are attributed to the medication being tested and not from biases or expectations.

In the field of medical research, sugar tablets without any medical effects are likely used as placebos. Placebos are administered as control measures in experimental studies to ensure that any observed effects can be attributed to the medication being tested, rather than participant expectations or experimenter bias. For instance, in a drug trial, one group (the experimental group) receives the medication, while another group (the control group) receives a placebo, in this case, a sugar tablet. If the experimental group shows different results as compared to the control group, it can be deduced the differences are likely due to the drug itself. This process helps to maintain the integrity and credibility of medical research.

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Answer: the answer is 25 people

Step-by-step explanation:

To determine how many people prefer banana-flavored frozen yogurt, calculate 4% of the 50 people surveyed. The calculation (4/100) × 50 results in 2 people preferring banana flavor.

The student is asking how many people prefer banana flavor based on a pie chart that displays the percentage breakdown of favorite flavors of frozen yogurt. To find the number of people who prefer banana flavor, we need to calculate 4% of the 50 people surveyed because the pie chart indicates that banana flavor is preferred by 4% of the participants. Here's a step-by-step breakdown:

Therefore, 2 people out of the 50 surveyed prefer banana frozen yogurt.

Answer:

$4,000

Step-by-step explanation:

He makes a flat rate of $900, plus 10% on sales over $5,000

He sold $36,000, so he gets paid on $36,000 - $5,000 = $31,000 of those sales.  

10% of $31,000 is

$31,000(0.10) = $3,100

He made $900 + $3,100 = $4,000

Answer:

4.86

Step-by-step explanation:

27*.18=4.86

Answer:

4.86

Step-by-step explanation:

The decimal form of 18% is 0.18. Multiply that by 27 to get 18% of 27

27 x 0.18 = 4.86

Hope this helps!

Please give me brainliest answer! Thanks!

Answer: n = 63

Step-by-step explanation:

n ÷ 21 = 3

Do the opposite to find n!

3 × 21 = 63

So, to check our answer

63 ÷ 21 = 3

n = 3

:))

Answer:

----------------------------------

Answer:

Check by substituting the solutions back into  [tex]\frac{n}{21} =3[/tex]

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hope it helps...

have a great day!!

Answer:

4+3*x=35

Step-by-step explanation:

lets solve using our equation:

4+3=7

7x=35

7x/7=35/7

x=5

Hope this helps pl vote my answer the brainiest as i want to lvl up!