What is the exact value of the other root?

Answer:

10

Step-by-step explanation:

When X increases by 5, 2X increases by 10 while the 1 keep no change

So y increases by 10

Choice B is another answer if it is a "choose all that apply" type of situation. If it is a "choose only one answer" question, then I'd stick with choice C.

==============================================================

Work Shown:

x = some unknown number

4x = four times that number

4x-8 = eight less than the previous expression

4x-8 < 56

4x < 56+8

4x < 64

x < 64/4

x < 16 showing why choice C is the answer

The inequality sign stays the same the entire time. The only time it flips is when we multiply or divide both sides by a negative number.

If this is a "choose all that apply" type of question, then choice B also fits the description of x < 16 since all numbers less than 12 are also automatically less than 16.

In other words: if x < 12, then x < 16. The reverse is not true.

Answer:

D. They never intersect

Step-by-step explanation:

The term that best describes the red line segment of the ellipse is minor axis . C

An eclipse can be defined as an astronomical event that occurs when an object or spacecraft is obscured as the shadow of another body passes or when another body pass between it and an observer.

The axis of an eclipse could major or minor.

The minor axis of an ellipse is the line that contains the shorter part of the two line segments about which the ellipse is symmetrical.  It is perpendicular to the major axis and passes through the center of the axis.

Therefore, the term that best describes the red line segment of the ellipse is minor axis . C

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Answer:

Volume of a Sphere is 4/3 * π * r^3 , r is the radius of the sphere.

volume = 4/3 * π * r^3

= 1.13×105in³

Volume of a 30″ radius sphere is

113,097 cubic inches.

The probability of the union of high school students of trying out for either volleyball or swimming is 0.9. Option C is correct.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The conditional probability is the happening of an event, when the probability of occurring of other event is given. The probability of event A, given that the event B is occurred.

Students of high school who attend Springfield Women's Academy are eligible to tryout for various teams within the athletic department. In this,

Let the tryout for volleyball is event A and tryout for swimming is event B. Thus,

P(A)=0.27

P(B)=0.88

Many students choose to tryout for multiple teams. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.

Thus, probability of the union of trying out for either volleyball or swimming

P(A or B)=P(A)+P(B)-P(A and B)

P(A or B)=0.27+0.88-P(A)*P(B)

P(A or B)=0.27+0.88-0.27×0.88

P(A or B)=0.9

Hence, the probability of the union of high school students of trying out for either volleyball or swimming is 0.9. Option C is correct.

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Answer: The correct answer is A.

Step-by-step explanation: The graph cannot have a maximum, as the quadratic function goes on forever upwards. However, it can have a minimum, and the lowest point on the quadratic function is (1, -4).

When two straight lines or rays intersect at a shared endpoint, an angle is generated. The value of x is 17.

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

Since the ray AB bisects, the ∠FAE. Therefore, the measure of ∠FAB and ∠EAB will be equal. As these two angles are equal, the length of line BF and BE will be equal.

BF = BE

2x+8=42

2x=42-8

2x=34

x = 17

Hence, the value of x is 17.

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Step-by-step explanation:

4√2 . √2

= 4 * 2

= 8

3√7 - 2√7

= √7 ( 3 - 2 )

= √7 ( 1 )

= √7

√7 / 2√7 = 1 / 2

2√5 . 2√5

= 2 * 2 . √5 *√5

= 4 * 5

= 20

[tex]\text{Given that,}~~(x_1,y_1) = (-1,3)~ \text{and slope,}~ m = 3\\\\\text{Equation of line,}\\\\~~~~~~~y-y_1 =m(x-x_1)\\\\\implies y -3 = 3(x+1)~~~~~~~~~~;[\text{Point-slope form}]\\\\\implies y-3 = 3x +3 \\\\\implies y = 3x +3 + 3\\\\\implies y = 3x +6~~~~~~~~~~~~~~~~~;[\text{Slope-intercept form}][/tex]

Answer:

Since 5:8is constant with respect to x, the derivative of 5:8 with respect to  x is 0.0

Step-by-step explanation:

Answer:

x = 7.5

Step-by-step explanation:

expressing the ratio as a fraction , that is

[tex]\frac{x}{12}[/tex] = [tex]\frac{5}{8}[/tex] ( cross- multiply )

8x = 60 ( divide both sides by 8 )

x = 7.5

[tex]\cos 180^{\circ}\\\\=\cos(2 \cdot 90^{\circ})\\\\=2 \cos^2 90^{\circ}-1\\\\=2 \cdot 0 - 1\\\\=0-1\\\\=-1[/tex]

Answer:

Apples only

0.50a ≤ 23

Pears only

0.75p ≤ 23

Apples and Pears together

0.50a + 0.75p ≤ 23

Step-by-step explanation:

Since it said that "at most", the sign should be ≤

Answer:

Looking at the first question, it's asking what best describes the probability of tossing a number less than 6 on a number cube that has 6 numbers.  Impossible means that it will never land on it, for example asking what the probability of landing on 7 is.  Unlikely is something that doesn't happen often.  The best option that fits our scenario is option C, likely.

Looking at the second question, it's asking what the probability that the teacher chooses a girl in his class.  There are 15 girls and a total of 27 students in the class so we take the probability by doing 15/27.  We can narrow both the numerator and the denominator using 3 which gives us 5/9.  Therefore, the best option that fits our scenario is option C, 5/9.

Finally, looking at the last question, it's asking what the theoretical probability that the coin will land on heads on the next toss.  Theoretical probability doesn't consider how much times Murray tossed the coin, the only thing it cares about is what the actual probability of tossing a coin is.  Therefore that makes it a 50% chance of landing on a heads and a 50% chance of landing on a tails.  The best option that first our scenario is option B, 1/2.

Hope this helps!  Let me know if you have any questions

Which describes the probability of tossing a number less than 6 on a number cube with faces labeled 1-6?

Answer:

[C] Likely

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There are 12 boys and 15 girls in Mr. Fraioli's math class. He will randomly call on one person to answer the problem of the day. What is the probability that he will choose a girl.

Answer:

[C] 5/9

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Murray has tossed a coin 120 times.The coin landed on heads 54 times. What is the theoretical probability that the coin will land on heads on the next toss?

Answer:

[B] 1/2

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

Step-by-step explanation:

Note:

Impossible ⇒ 0%

Unlikely ⇒ 25%

Equally likely as not ⇒ 50%

Likely ⇒ 75%

Certain ⇒ 100%

Which describes the probability of tossing a number less than 6 on a number cube with faces labeled 1-6?

Knowing that a number less than 6 can be:

1,2,3,4,5

Hence, 5/6 which is 0.83333333333 which is likely

Thus, the answer is [C] Likely

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There are 12 boys and 15 girls in Mr. Fraioli's math class. He will randomly call on one person to answer the problem of the day. What is the probability that he will choose a girl.

Total number of people is 12+15 = 27

15 out of 27 are girls thus, 15/27

Simplify

5/9

Hence, the answer is [C] 5/9

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Murray has tossed a coin 120 times.The coin landed on heads 54 times. What is the theoretical probability that the coin will land on heads on the next toss?

Since, the total number of tossed is 120 times

handed on heads - 54 times.

  Theoretical probability is what should happen.

 Experiment probability is what happen

Knowing that a coin has 2 sides:

Heads and Tails.

Hence, that makes it a 50% chance of landing on a heads and a 50% chance of landing on a tails.

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Kavinsky

Considering the perimeter and the area of the rectangle, the possible dimensions are of 22.11 yards and 4.89 yards.

Considering a perimeter of length l and width w, we have that:

In this problem, considering the amount of fencing as the perimeter, and the area, we have that:

Then:

l(27 - l) = 108

l² - 27l + 108 = 0.

Which is a quadratic equation with coefficients a = 1, b = -27, c = 108, then:

[tex]\Delta = b^2 - 4ac = (-27)^2 - 4(1)(108) = 297[/tex]

[tex]x_1 = \frac{27 + \sqrt{297}}{2} = 22.11[/tex]

[tex]x_2 = \frac{27 - \sqrt{297}}{2} = 4.89[/tex]

Then, the possible dimensions are of 22.11 yards and 4.89 yards.

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Answer:

-29

Step-by-step explanation:

(+12)-(+37)+(-4) = -29

This is the simplified answer.

Answer:

39.6

Step-by-step explanation:

I think.

Answer check:

You got both correct. Good luck on the exam!

Answer:  the first one is correct and the second one is  wrong its 1/5

Step-by-step explanation:

Answer:

f=8

Step-by-step explanation:

0.62(f+(-6)+6.96=8.2

0.62(f-6)+6.96=8.2

multiply both sides by 100

0.62(f-6)*100+6.96*100=8.2*100

Refine

62(f-6)+696=820

Subtract 696 from both sides

62(f-6)+696-696=820-696

Simplify

62(f-6)=124

Divide both sides by 62

62(f-6)/62 = 124/62

Simplify

f-6=2

add 6 to both sides

f-6+6=2+6

simplify

f=8

Answer:

8

Step-by-step explanation:

1. Distribute 0.62 to each term in the parenthesis:

0.62(f) + 0.62(-6)

0.62f - 3.72 + 6.96 = 8.2

2. Add 3.72 and 6.96:

0.62f - 3.72 + 6.96 = 8.2

0.62f + 3.24 = 8.2

3. Subtract 3.24 from both sides of the equation:

0.62f + 3.24-3.24 = 8.2-3.24

0.62f = 4.96

4. Divide 0.62 by both sides to isolate f:

0.62f/0.62 = 4.96/0.62

f = 8

hope this helps!

Multiply

Scale factor is directly proportional to algebraic operations

As it's 1 only you have to multiply

Hey there!

72 * 1/8 = 9

= 72/1 * 1/8

= 72(1) / 1(8)

= 72 / 8

= 72 ÷ 8

= 9

Thus, the answer could either be:

• 72/1 * 1/8

• 72 / 8

OR

• 72(1) / 1(8) (hence how we possibly received answer number 2)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

               [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Given question:-}}}\rule{50}{1}[/tex]

           What is the value of c in the quadratic [tex]\large\text{$x^2+28=-11x$}[/tex]?

          [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

           Before starting to solve, you should notice something - the

quadratic is not in its standard form!

We can easily fix it by adding [tex]\large\textit{11x}[/tex] on both sides:-

[tex]\large\text{$x^2+28-11x=0$}[/tex]

We can switch the order of 28 and -11x:-

[tex]\large\text{$x^2-11x+28=0$}[/tex]

  Now, the quadratic is in its standard form, so we can get down to

finding the value of "c".

Remember, the standard form of a quadratic looks like so:-

Now we can just write our quadratic here:-

Now, can you see what the value of "c" is?

An easy way to remember "c" in quadratics is:-

The "c" in quadratics is the constant.

Henceforth, we conclude that the value of "c" in the given quadratic is:-

 [tex]\Large\textbf{28}\Large\checkmark[/tex]

        [tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]    

Answer:

what exactly are we classifying here, angle? Shape?

Answer:

1/12

Step-by-step explanation:

Total students: 24

Requirement: 2

Simplify:

2/24 -> 1/12

Answer:

Step-by-step explanation:

Answer:

1\frac{7}{8} inches1

8

7

inches

Step-by-step explanation:

From the image we know that the greatest amount of rainfall is 2 inches, and the least is 1/8. If we subtract these two, we'll find the difference

2-\frac{1}{8}=\frac{16-1}{8}=\frac{15}{8}=1\frac{7}{8}2−

8

1

=

8

16−1

=

8

15

=1

8

7

Therefore, the difference between the greatest and least amount of rainfall is 1\frac{7}{8} inches1

8

7

inches

Remember that the greatest amount of rainfall is represented by the greatest number, and the least amount of rainfall is represented by the least number.

I hope it helps you

E=mc² is the legendary equation of Albert Einstein .

In the formula

Here

E stands for energy emitted.

m stands for mass

c stands for speed of light

Answer:

Equation of Special Relativity

[tex]\large \text{$ E=mc^2 $}[/tex]

where:

Albert Einstein's famous equation demonstrates the relationship between mass and energy.

It is vital when using this equation that all components are converted (where necessary) into the SI units given above.  Therefore, mass must be measured in kilograms and energy must be measured in Joules.

Joules is an SI measurement for energy and is measured as kilograms x meters squared per seconds squared →  [tex]\sf kg \times m^2s^{-2}[/tex]

The SI base units are the standard units of measurement defined by the International System of Units (SI).

Answer: 6/8 , 9/12 , 12/16 , 15/20, ect...

Step-by-step explanation:

Example:3*2   = 6

               4*2      8

You can check if it is equivalent by dividing the numerator and denominator by 2

Example:6 divided by 2= 3

               4  divided by 2   4

You can replace 2 with 3,4,5,6 ect...

3/4 multiplied by 3 =9/12, 3/4 multiplied by 4 is 12/16, 3/4 multiplied by 5 is 15/20.

Hope this helps, let me know if you want more examples.

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Find an equivalent fraction for the fraction below. 3/4

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

If fractions are equivalent, they are equal to each other.

An example of a fraction equal to 3/4 is:-

[tex]\bold{\displaystyle\frac{6}{8}} \dashleftarrow\sf{The\:numerator\:and\:denominator\:are\:multiplied\:by\:2}[/tex]

This is just one example; in fact, there are infinitely many fractions equivalent to 3/4; you can multiply the numerator & denominator by 2:

6/8 = 12/16 =24/32...

You can also multiply by 3:-

9/12 =12/36...

You can multiply by 4, 5, 6, 7, 8....

Overall, you can multiply by any number you wish. As long as you multiply the numerator and denominator by the same number, you will get a fraction that's equivalent to the original fraction.

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

Answer:

$456.25 each month

Step-by-step explanation:

Fund for 3 months 3750 * 3 = 11250

Start with 300 => 11250 - 300 = 10950

Within 24 months to reach 10950 => each month = 10950 / 24 = 456.25

She needs to save $456.25 each month for the next 24 months to reach her goal.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Monthly expenses = $3,750

For 3 months = 3 × 3750 = $11250 need to save total.

Since she started with $300 so

11250 - 300 = $10950 need to save total.

Let's say the amount per month is x

24x = 10950

x = 456.25.

Hence "She needs to save $456.25 each month for the next 24 months to reach her goal".

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Answer:

Diameter = 6 ft, height = 2.5 ft=====Volume 22.5

Radius = 2ft, height=4.5 ft=======18 pie ft ^3

Area Base = 10Pie ft ^2 , height =2 ft=====Volume 20 pie ft ^3

Step-by-step explanation:

edge 2022