Which runs faster: a cheetah that can run 60 feet in 6 seconds or a gazelle that can run 100 feet in 10 seconds?

They run at the same speed.
A gazelle runs faster.
A cheetah runs faster.

The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

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The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we  two by the product of a number and 7, the result is at most -29 if the number is -31/7.

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Answer:

x=11.34

Step-by-step explanation:

answer:

\(\sf \dfrac{17}{24}\)

step-by-step explanation:

\(\sf \dfrac{3}{8} +\dfrac{1}{3}\)

the largest multiple of 8 and 3 is 24, make the denominator same

\(\sf \dfrac{3(3)}{8} +\dfrac{1(8)}{3}\)

expand

\(\sf \dfrac{9}{24} +\dfrac{8}{24}\)

simplify, join both fractions

\(\sf \dfrac{17}{24}\)

Answer:

\(\dfrac{17}{24}\)

Step-by-step explanation:

Convert the fractions so that their denominators are the same, then add:

\(\dfrac38+\dfrac13=\dfrac{3 \times 3}{8 \times 3}+\dfrac{1 \times 8}{3\times 8}=\dfrac{9}{24}+\dfrac{8}{24}=\dfrac{17}{24}\)

Answer: The two numbers that multiply to -65 and add to -8 are -13 and 5.

Steps: Here are the steps to find two numbers that multiply to -65 and add to -8:

Write down the equation x * y = -65 where x and y are the two numbers you’re looking for.

Write down the equation x + y = -8.

Solve for one of the variables in one of the equations. For example, solving for x in the second equation gives us x = -8 - y.

Substitute this expression for x into the first equation: (-8 - y) * y = -65.

Solve this quadratic equation for y: -y^2 - 8y + 65 = 0.

Use the quadratic formula to find the values of y: y = (-(-8) +/- sqrt((-8)^2 - 4 * (-1) * 65)) / (2 * (-1)).

This gives us two possible values for y: -13 and 5.

Substitute these values back into one of the original equations to find the corresponding values of x. For example, when y = -13, we have x = -8 - (-13) = 5. When y = 5, we have x = -8 - 5 = -13.

So, the two numbers that multiply to -65 and add to -8 are -13 and 5.

Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

Answer: a. Statistic because the value is a numerical measurement describing a characteristic of a sample.

Step-by-step explanation: Statistic are numerical characteristics drawn or obtained from a sample which is a subset of a population. Numerical values obtained from a population of data is called parameter. Hence, since the set of professors from which the value of those who own a television being 40% was drawn is stated as being a sample. Then all numerical characteristics obtained from the dataset will be referred to as a statistic.

Answer:

oh itsA

Step-by-step explanation:

i did 1 plus 24

1. supplementary

2. complementary

3. 45

4. 8

5. 67

6. 135

7. 98

8. 157

9. x= 10

10. x= 6

11. x= 30

12. x=14

Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

Step-by-step explanation:

if you can put a vertical line through it and it only touches the line once it's a function

Answer:

Step-by-step explanation:

Answer:

sorry cant help

Step-by-step explanation:

Answer:

8/10=2nd 3rd =2 4th=3/5

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

The features of quadratic functions best identified by each method are given as follows:

The standard definition of a quadratic function is given as follows:

y = ax² + bx + c.

From which we identify the y-intercept at the coordinates (0, c).

The vertex form of a quadratic function is given as follows:

f(x) = a(x - h)² + k

From which we identify the axis of symmetry and the extreme value.

The zeros of a quadratic function are identified from the linear factors, as follows:

f(x) = a(x - r)(x - s).

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Answer:

y = -1/3x + 25/3

Step-by-step explanation:

We are given that a line has a slope of -1/3, and passes through the point (4,7).

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y-intercept.

Since we are already given the slope, we can immediately substitute it into the formula.

Replace m in y=mx+b with -1/3.

y = -1/3x + b

Now, we need to find b.

As the equation passes through (4,7), we can use its values to help solve for b.

Substitute 4 as x and 7 as y.

7 = -1/3(4) + b

Multiply

7 = -4/3 + b

Add 4/3 to both sides

25/3 = b

Substitute 25/3 as b.

y = -1/3x + 25/3

Answer:*

Step-by-step explanation:

Answer:

  12x³y²

Step-by-step explanation:

You want the product -2x (-3x²y)(2y).

An exponent is a means of telling the number of times the base is a factor in a product. For example, the exponent 2 means the base is a factor twice in the product:

  x² = x·x

When the same factor appears a number of times in a product, an exponent can be used to represent that number.

  (-2x)(-3x²y)(2y) = (-2)(-3)(2)(x·x²)(y·y)

The factor x appears 3 times in the product, and the factor y appears twice. The numerical product can be simplified, so the result is ...

  12x³y²

Answer:

A. (3, -1)

Step-by-step explanation:

The ordered pair that is a solution is the one which makes the inequality TRUE when the value of the ordered pairs are plugged into 4x - 3y < 16

Therefore, the ordered pair, (3, -1) is the solution because it is the only given ordered pair in the options that makes the inequality true. Thus:

Substitute x = 3 and y = -1 into 4x - 3y < 16

4(3) - 3(-1) < 16

12 + 3 < 16

15 < 16 (TRUE)

jackie is weird cus she is and because cookies ar goodStep-by-step explanation:

go to \ type this in

Answer:

1/3

Step-by-step explanation:

The total # of bars = 12. (4+5+3)

4 of those, are snickers

4/12 (Target / Total)

1/3 (simplified)

-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)

1. Length of side DE = 9

Length of side DF = 15

2. Length of side DE = 5.625

Length of side EF = 4.96

3. Length of side DF = 10

Length of side EF = 6.61

Given,

Two triangles

Triangle ABC and Triangle DEF ; These are similar triangles

That is,

AB = DE, BC = EF, AC = DF

Here,

AB = 3

BC = 4

1. EF = 12

AB/BC = DE/EF

3/4 = x/12

x = (12 x 3) / 4

x = 3 x 3 = 9

Length of side DE = 9

DF = \(\sqrt{9^{2} +12^{2} }\) = \(\sqrt{81 + 144}\) = √225 = 15

Now,

2. DF = 7.5

AB/BC = DE/DF

3/4 = x/7.5

x = (7.5 x 3) / 4

x = 5.625

Length of side DE = 5.625

EF =  \(\sqrt{7.5^{2}-5.625^{2} }\) = \(\sqrt{56.25-31.64}\) = √24.61 = 4.96

Next,

3. DE = 7.5

AB/BC = DE/DF

3/4 = 7.5/x

x = (7.5 × 4) / 3 = 30/3

x = 10

Length of side DF = 10

EF =  \(\sqrt{10^{2}-7.5^{2} }\) = \(\sqrt{100-56.25}\) = √43.75 = 6.61

That is,

1. Length of side DE = 9

Length of side DF = 15

2. Length of side DE = 5.625

Length of side EF = 4.96

3. Length of side DF = 10

Length of side EF = 6.61

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Answer:

{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)

Step-by-step explanation:

From this equation 4x − y = 3

-y = 3 - 4x

then, y = 4x - 3

From line equation y = mx + b

Therefore, the slope is 4

Since the are parallel line, they will have same slope

Finding the derivative of y = 2 + 2e^x − 4x

y = 2 + 2e^x − 4x

y' = 0 + 2e^x - 4

Therefore,

4 = 2e^x - 4

4 = e^x

x = ln 4 = 1.39

To find the y coordinate

y = 2 + 2e^x − 4x

y = 2 + 2e^ln 4 − 4 ln 4

y = 4.45

Hence, they are parallel at point (1.39 and 4.45)

The correct image include the following: B. Green: image A.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By applying a rotation of 270° clockwise about the point (1, 2) to the coordinate of the vertices of blue block D, the coordinate the vertices of of its image would be located at the position of the Green: image A.

In this context, we can reasonably infer and logically deduce that Green: image A is the correct transformed shape.

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9514 1404 393

Answer:

  F20 = 15985k -20361g

Step-by-step explanation:

If we assume F3 and F4 are the third and fourth terms of an arithmetic sequence, the common difference is ...

  d = F4 -F3 = (945k -713g) -(5k +515g)

  d = 940k -1228g

Then the 20th term is ...

  F20 = F3 +(20 -3)d = (5k +515g) +17(940k -1228g)

  F20 = 15985k -20361g

Answer:

3x^2-3x+4

Step-by-step explanation:

(-2x^2+x+6)+(5x^2-4x-2)

-2x^2+x+6+5x^2-4x-2

3x^2-3x+4

Answer:

\(\frac{11}{12}\)

Step-by-step explanation:

\(Rule: \frac{x}{y} \pm \frac{a}{b} = \frac{x \pm y}{z}\\\frac{1}{4}+\frac{2}{3} = \frac{3}{12}+\frac{8}{12} (LCM)\\=\frac{3+8}{12}\\=\frac{11}{12}\\\)

The addition of the given fraction numbers 3(3/8) and 7(3/4) is, 89/8

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

Two fraction numbers,

3(3/8) and 7(3/4)

The addition of two fraction number is,

⇒  3(3/8) + 7(3/4)

In simple form it can be written as,

⇒   24+3/8 + 28+3/4

⇒    27/8 + 31/4

LCM Of 8 & 4

=  8

⇒  27/8 + 31×2/4×2

⇒  27/8 + 62/8

⇒  (27 + 62)/8

⇒   89/8

Hence, the result is 89/8

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Answer:

1/3 is the only fraction here that is greater than 3/10.

Step-by-step explanation:

Convert these to decimals first, which can make it easier.

1/3 as a decimal is 0.33333333333333333333333333... which is greater than 0.3, which is 3/10.

3/11 as a decimal is 0.27272727272727.... which is LESS than 0.3, which is 3/10.

4/15 as a decimal is 0.26666666666666666666666666666666, which is less than 0.3, which is 3/10.

29/100 as a decimal is 0.29, which is less than 0.3, which is 3/10.

So the answer is 1/3.

Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

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