maria ran 12 miles las week phoebe ran 60 miles last week how many times as far did phoebe run compared to the

Refer to the image attached.

Since, we have to divide the polynomial [tex]4x^2-2x+3[/tex] by (x+2) using synthetic division.

We will divide the coefficients  4  -2  3  by -2

First term = 4 will remain same.

Second term = [tex](-2 \times 4) -2 = -8-2 = -10[/tex]

So, second term = -10

Third term = [tex](-2 \times -10)+3 = 23[/tex]

So, third term = 23

So, 4   -10   23  is the correct answer

So, Option 2 is the correct answer.

Answers:

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1)   (3 inches)(5 inches) = (3 in)(5 in) = 3 * 5 * in * in = 15 * in * in   =  "  15 in² " .

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2)  (5 feet)(2 feet) = (5 ft)(2ft) = 5 * 2 * ft * ft = 10 * ft * ft   =  " 10 ft²  " .

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Final answer:

Exponents are used for repeated multiplication of the same number, hence, (3 inches)(5 inches) and (5 feet)(2 feet) cannot be simplified using exponents since they involve different numbers. Exponents and conversion factors are distinct mathematical tools, with the latter used for converting units of measure.

Explanation:

The question addresses using exponents to express products of the same units in a simpler form. The product of (3 inches)(5 inches) suggests multiplying these two measurements, however, when writing this product using exponents, we should consider that both are units of length, and thus their product will result in a unit of area, which is square inches (in2). We cannot simplify this expression further using exponents as they are not repeated multiplication of the same number.

On the other hand, for the product (5 feet)(2 feet), we again get an area, but this time in square feet (ft2). Still, there's no need for using exponents in this expression because we are not dealing with repeated multiplication of the same number.

It is important to note that exponents are used to represent repeated multiplication of the same number. For example, if we had (5 inches)(5 inches), we could write this as 5 inches squared (5 in)2, because it's 5 inches multiplied by itself. On the contrary, when multiplying different numbers, exponents don't apply.

When converting between different units of measure, as in converting feet to inches, we use conversion factors. For instance, 1 foot equals 12 inches, so by multiplying feet by 12, we can convert it to inches. Similarly, inches can be converted to feet by dividing by 12.

This is talking about the different properties such as Commutative property and Associative Property, Distributive Law. This exact law is commutative law.

So the first 10 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Since a prime number is only divisible by 1 and itself and greater than 1, our answers are 2, 3, 5, and 7. That's 4 numbers, or 4/10=0.4 of the 10. Since percentage is based out of 1, we can multiply 0.4 by 100 to get 40%. I hope that Helped :)

Is the x2 supposed to be an exponent or no?

The new equation for the translated parent function f(x) = x^2, shifted 4 units right and 3 units down, is f(x) = (x - 4)^2 - 3.

To translate the parent function f(x) = x^2 by 4 units to the right and 3 units down, we need to make the following adjustments:

So, the new equation is f(x) = (x - 4)^2 - 3.

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false becasue 11,12,13,14,15,16,17,18,19,20,21, and 22 is bigger and 111,112,113,114,115,116,117,118,119,120,121, and 122 is smaller.

Answer:

False

Step-by-step explanation:

Standard Deviation is the square root of sum of square of the distance of observation from the mean.

[tex]Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}}[/tex]

where, [tex]\bar{x}[/tex] is mean of the distribution.

Here, First distribution is 11,12,13,14,15,16,17,18,19,20,21,22

and Second distribution is 111,112,113,114,115,116,117,118,119,120,121,122

The mean of first distribution is 16.5

and mean of second distribution is 116.5

So the standard deviation of first distribution is 3.605

and the standard deviation of second distribution is 3.605

Hence, standard deviation is same for both distribution.

Answer:

[tex]m=\dfrac{8}{3}p[/tex]

Step-by-step explanation:

[tex]\begin{array}{ccc}3\ (pages)&-&8\ (min)\\p\ (pages)&-&m\ (min)\end{array}\qquad|\text{cross multiply}\\\\p\cdot8=3\cdot m\qquad|\text{divide both sides by 3}\\\\m=\dfrac{8p}{3}[/tex]

The equation is:

number of pages=reading speed×number of minutes

          p               =          3/8          ×                  m

The correct answer is

p=3/8 m

Answer:

2 x + y = 9

Hope this helps :-)

2*y + 5*x < 2 hours But the units are not the same. The left side contains minutes and the right hours.

2y + 5x < 2*60

2y + 5x < 120 <<<<< Answer

Answer:

5x + 2x < 120

Step-by-step explanation:

Given:

Binh takes 5 minutes to repot each plant and 2 minutes to water each plant.

He has at most 2 hours.

Here "at most" represents by the inequality "<"

Let's convert 2 hours into minutes.

1 hour = 60 minutes

2 hours = 2×60 minutes = 120 minutes

Let x represent the number of plants to repot, and y represent the number of plants to water.

So, the given situation represented by

5x + 2x < 120

[tex]10x^2+27x-28=10x^2+35x-8x-28=5x(2x+7)-4(2x+7)\\\\=(2x+7)(5x-4)\\\\Answer:\ D.\ 2x+7[/tex]

Answer:

7/8

Step-by-step explanation:

The strip is 21 7/8 inches long. You need to make this into an improper fraction so you multiply 21x8= 168 and then add 7 to that which = 175. So the improper fraction is 175/8 (instead of 21 7/8). Now you just divide 175 by 25 which is 7. Each stamp is 7/8 inches long.

To find the new length of the strip after Vanessa uses one stamp, we first divide the initial length of the strip by the total number of stamps to find the length of one stamp. We then subtract this from the original length of the strip. The new length is 21 inches.

This question is asking how long a strip of stamps is after Vanessa uses one of them. Given that the original strip is 21 7/8 inches long and includes 25 stamps, we can find the length of one stamp by dividing the total length of the strip by the total number of stamps. So, the length of one stamp is 21 7/8 ÷ 25.

We then subtract the length of this one stamp from the original length of the strip to find the new length:

The new length of the strip, after Vanessa uses one stamp, is therefore 21 inches.

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obviously $48.60 would save more.

Answer,

48.60

Hope this helps - Laura

:-)

Im pretty sure your awnswer will be, x=−5/6

Subtract 2/3 from both sides.

x+2/3−2/3=−1/6−2/3

x=−5/6

Best of luck, terribly sorry if im wrong if i am my apologies

~Animaljamissofab ♥

16 + 36 = 52 so the answer would be A) 4(4 + 9) because that equals 52 as well.

It will cost $18.

15*6=90

90/5=18

It will cost $18.

The cost of the baseboard for $5 per foot whose length is 15 feet and width is 6 feet will be $ 210.

Given that:

Length of the baseboard = 15 feet

Width of the baseboard = 6 feet

The total space occupied by the baseboard can be calculated using the perimeter of the baseboard.

The perimeter of a rectangle can be calculated using the formula:

[tex]Perimeter = 2 \times(Length + Width)[/tex]

                   = [tex]2 \times(15 + 6)[/tex]

                  = [tex]2 \times 21[/tex]

                  = 42 feet

The cost of the baseboard can be calculated by multiplying the total length (42 feet) by the cost per foot ($5)

[tex]Cost \ of \ baseboard = Total\ length\times Cost \ per \ foot[/tex]

=[tex]42 \times 5[/tex]

= $210

Therefore, the cost of the baseboard for the room would be $210.

Learn more perimeter of a rectangle here:

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Answer:

B.- Only (-3,5)

Step-by-step explanation:

In an ordered pair the first coordinate is the [tex]x[/tex] coordinate, and the second coordinate corresponds to the [tex]y[/tex] coordinate.

Then we must substitute the given value of [tex]x[/tex] in the equation and verify that we get in return the defined value for [tex]y[/tex].

the options are

in this one [tex]x = -2[/tex], and [tex]y=4[/tex], so let's confirm:

[tex]y=-3x-4\\y=-3(-2)-4\\y=-6-4\\y=2[/tex]this is not a solution since the [tex]y[/tex] values are not the same.

in this one [tex]x= -3[/tex] and [tex]y=5[/tex], let's also confirm:

[tex]y=-3(-3)-4\\y=9-4\\y=5[/tex]in this one the values for [tex]y[/tex] are equal, this is a solution for the equation.

This is known as the distributive property.

When you have a number outside of parentheses, (typically when there's a variable either inside or outside the parentheses), you can apply the number outside the parentheses to each term inside the parentheses, and the answer will still be equal.

Distributive Property is your answer.

In the case of "5(x - 3)", the parenthesis cannot be simplified, because you cannot combine a number and variable. To simplify, you must distribute the outside number (5), too all terms within the parenthesis

5(x - 3) = 5(x) + 5(-3)

Simplify.

5(x) = 5x

5(-3) = -15

5x - 15 is the answer (true, it makes the equation true)

Distribute Property is your answer

~Rise Above the Ordinary, Senpai

A is probably the most reasonable answer, of course it depends what situation you're in.

Logicly speaking, the phone would go to voicemail after about 30 seconds.

Echy~

There are 100 markers in each box, since one pack has 10 markers, and there are 10 packs inside the box, so you'd simply multiply 10 times 10 to get 100

Well each box has 100

but I don't understand what answer you are talking about. Sorry

The perimeter of a rectangle is the sum of all four sides of the rectangle.

(Perimeter = 2width + 2length)

Let's assume the width of the rectangle to be x.

For length, the statement says that is equals to 3 times the width (= 3x) and 5cm more meaning 5cm would be added to 3 times the width.

Width = x

Length = 3x + 5

Perimeter = 2x + 2(3x+5)

74 = 2x + (6x+10)

74 = 8x + 10

solve for x

8x = 74 - 10

x = 64/8, x=8

Width = 8

length = 3(8)+5 = 29

  Well we know that our function is -3, so we can plug this into the equation. \

f(x) = 2x + 1 + 5

f(-3) = 2(-3) + 1 + 5, now from here we simplify (:

-6 + 1 + 5 then finally we combine our like terms

-6 + 1 equals -5, then -5 + 5 equals 0

our final answer is zero if our function is f(-3) ((((((((((((((((((((((((((((((:

Isolate the z. Note the equal sign. Subtract 1/7z to both sides

1/7z (-1/7z) + 2 = -6/7z (-1/7z)

2 = -6/7z - 1/7z

Simplify. Combine like terms

2 = -7/7z

2 = -1z

Isolate the z. Divide -1 from both sides

(2)/-1 = (-1z)/-1

z = 2/-1

z = -2

-2 is your answer

hope this helps

Gotcha!

As a whole, the pattern is +10. 13 to 23 you add 10. 23 to 33 you add 10. 33 to 43 you add 10. That's the best explanation.

[tex]Solution, \mathrm{Expand}\::\left(\sqrt{x}+\sqrt{y}\right)\left(\sqrt{x}-\sqrt{y}\right)\left(x+y\right)\left(x^2+y^2\right):\quad :x^4-:y^4[/tex]

[tex]Steps:[/tex]

[tex]\mathrm{Expand}\:\left(\sqrt{x}+\sqrt{y}\right)\left(\sqrt{x}-\sqrt{y}\right):\quad x-y, =\left(x-y\right)\left(x+y\right)\left(x^2+y^2\right)[/tex]

[tex]\mathrm{Expand}\:\left(x-y\right)\left(x+y\right):\quad x^2-y^2, =:\left(x^2-y^2\right)\left(x^2+y^2\right)[/tex]

[tex]\mathrm{Expand}\:\left(x^2-y^2\right)\left(x^2+y^2\right):\quad x^4-y^4, =:\left(x^4-y^4\right)[/tex]

[tex]\mathrm{Expand}\::\left(x^4-y^4\right):\quad :x^4-:y^4, =:x^4-:y^4[/tex]

The correct answer is [tex]x^4-y^4[/tex]

Hope this helps!!!

The simplification involves the use of the difference of squares identity on the first two terms, yielding (x - y). There's no further simplification possible for the remaining terms (x + y)(x^2 + y^2) under general conditions, resulting in the expression (x - y)(x + y)(x^2 + y^2).

The question involves the simplification of the given expression (
oot{x} + oot{y})(oot{x} - oot{y})(x + y)(x^2 + y^2). To simplify it, we will use the properties of square roots and algebraic identities.

Firstly, we use the difference of squares identity on the first two terms: (
oot{x} + oot{y})(oot{x} - oot{y}) = x - y.

Now, we look at the second pair of terms and realize that we can reshape the given expression using the properties of exponents: (x + y)(x^2 + y^2). Since both (x + y) and (x^2 + y^2) represent sums of powers of x and y, there is no direct simplification possible without additional constraints on x and y.

Therefore, the multiplication of these expressions gives us (x - y)(x + y)(x^2 + y^2) without further simplification under general conditions.

There are 10 marbles total.

You picked a marble and replaced it 50 times, so you have:

9/50 were purple

16/50 were orange

6/50 were yellow

19/50 were green

Multiply those by the number of marbles:

10*9/50 = 1 4/5 purple, round to 2

10*16/50 = 3 1/5 orange, round to 3

10*6/50 = 1 1/5 yellow, round to 1

10*19/50 = 3 4/5 green, round to 4

2+3+1+4 = 10  

So you can say that there are 2 purples, 3 oranges, 1 yellow, and 4 green marbles.

it's basically -5 plus 4

Which is -1

The temp. at 8am is -1 degrees.

Answer:

[tex]\large\boxed{x=\dfrac{6b}{\pi n^2}}[/tex]

Step-by-step explanation:

[tex]b=\dfrac{1}{6}\pi n^2x\qquad\text{multiply both sides by 6}\\\\6b=\pi n^2x\qquad\text{divide both sides by}\ \pi n^2\neq0\\\\\dfrac{6b}{\pi n^2}=b[/tex]

The correct answer is

60 Flowers