The vertices of a triangle are P(-2, -4), Q(2, -5), and R(-1,-8). Name the vértices of the triangle after reflecting over the x-axis

9514 1404 393

Answer:

  x = 16

Step-by-step explanation:

"Solve algebraically" means "solve it using the rules of algebra." You could also solve it by guessing, or by graphing, or by submitting the equation to a machine solver (calculator, app, or web site).

__

To solve for x, undo what has been done to x. The expression on the right shows that x has 2 added, and the sum is divided by 3. We "undo" these operations in reverse order.

undo divide by 3

Multiplication is the inverse operation for division, so we want to multiply both sides of the equation by 3:

  3(6) = 3(x +2)/3

  18 = x +2

undo add 2

Subtraction is the inverse operation for addition, so we want to subtract 2 from both sides of the equation:

  18 -2 = x +2 -2

  16 = x

The value of x that makes this equation true is x = 16.

Answer:

Step-by-step explanation:

Prime factors:

Common factors of the two numbers:

Possible number of students as above

Answer:

22 1/2

Step-by-step explanation:

The final answer for the surface area of the prism is 32 m^2 + 16h m^2.

To find the surface area of the prism, we need to calculate the area of each face and sum them up.

The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:

Area of square face = side length^2 = 4^2 = 16 m^2

Since there are two square faces, the total area of the square faces is:

Total area of square faces = \(2 * 16 = 32 m^2\)

The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:

Area of rectangular face = length * width = \(4 * h = 4h m^2\)

Since there are four rectangular faces, the total area of the rectangular faces is:

Total area of rectangular faces = \(4 * 4h = 16h m^2\)

Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:

Surface area of prism = Total area of square faces + Total area of rectangular faces

                          = \(32 m^2 + 16h m^2\)

                          = \(32 m^2 + 16h m^2\)

The answer for the surface area of the prism is 32 m^2 + 16h m^2.

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The sum of the first 97 terms is 1697.5 if If the nth term of an A.P is 2+n /3,

What is Arithmetic progression ?

An arithmetic progression (AP) is a sequence of numbers in which each term after the first is obtained by adding a constant value to the preceding term. This constant value is called the common difference, denoted by d.

The nth term of an arithmetic progression (A.P) can be given by:

an = a1 + (n-1)d

where a1 is the first term, d is the common difference, and n is the term number.

In this case, the nth term is given by:

an = 2 + n/3

Comparing this with the general formula, we can see that a1 = 2 and d = 1/3.

To find the sum of the first 97 terms, we can use the formula for the sum of the first n terms of an A.P:

Sn = n/2 (a1 + an)

Substituting the values we have:

a1 = 2, d = 1/3, and an = 2 + n/3

We can find an expression for an in terms of n by substituting into the formula for an:

an = a1 + (n-1)d

= 2 + (n-1)(1/3)

= 2 + n/3 - 1/3

= 7/3 + n/3

Substituting this into the formula for Sn:

Sn = n/2 (a1 + an)

= 97/2 (2 + (7/3 + 97/3))

= 97/2 (8/3 + 97/3)

= (97/2) * (105/3)

= (97/2) * 35

= 1697.5

Therefore, the sum of the first 97 terms is 1697.5.

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The length of the hypotenuse is 12.52 yards.

Given that a right triangle, we need to find the value of the hypotenuse x,

Trigonometric ratios can be calculated by taking the ratio of any two sides of the right-angled triangle.

We can evaluate the third side using the Pythagoras theorem, given the measure of the other two sides. We can use the abbreviated form of trigonometric ratios to compare the length of any two sides with the angle in the base.

Let us consider a right-angled triangle with one of its acute angles to be x. Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where "adjacent side" is the side adjacent to the angle x, and "hypotenuse" is the longest side (the side opposite to the right angle) of the triangle.

We know that, the cosine of the angle is the ratio of the base to the hypotenuse,

So,

Cos 37° = 10 / x

x = 10 / Cos 37°

x = 12.52

Hence the length of the hypotenuse is 12.52 yards.

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Answer:

fortnite

Step-by-step explanation:

winwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwinwin

Answer:

Yes

Step-by-step explanation:

Yes

Answer:

y=3x+6

Step-by-step explanation:

in a line graph, y=mx+c

m refers to gradient, c refers to y-intercept.

since lines are parallel, both lines have the same gradient.

the line intersects (1,9)

x=1,y=9

9=3(1)+c

c=6

so y=3x+6

Answer:

y = 3x+6

Step-by-step explanation:

Parallel lines have the same slope

y = 3x+2 is in slope intercept form (y=mx+b where m is the slope and b is the y intercept)

So the slope is 3

Y = 3x+2

Using the point given substitute into the equation and solve for b

9 = 3(1)+b

9 =3+b

9-3 =b

6=b

y = 3x+6

Answer:

16 km due west

Step-by-step explanation:

The bearing of the school p from school q is 16 km due west.

To find the bearing of school q from school p, we have to find the direction that the school q is with respect to school p.

Since p is directly west of q, then it implies that q must be directly east of p.

We now know the direction.

Since the distance from q to p is exactly the same as the distance from p to q, then, the distance from p to q is 16 km.

Hence, the bearing of q from p is 16 km due west.

The total cost of the pita bread and hummus dips will be $305.00.

To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:

Cost of pita bread:

Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates

Cost of each crate = $15.00

Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00

Cost of hummus dips:

Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes

Cost of each box = $20.00

Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00

Therefore, the expressions Toula can use to determine the costs are:

Cost of pita bread = 3 crates × $15.00/crate

Cost of hummus dips = 13 boxes × $20.00/box

The total cost will be the sum of the costs of pita bread and hummus dips:

Total cost = Cost of pita bread + Cost of hummus dips

Total cost = $45.00 + $260.00

Total cost = $305.00

Therefore, the total cost of the pita bread and hummus dips will be $305.00.

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Answer: A. FALSE

Step-by-step explanation: The interval scale presents a measurement level for representing numerical variables in an ordered and fixed manner. Measurement are represented on the scale at equal intervals with each difference between consecutive intervals being the same. With this attribute, data represented on an interval scale gives meaningful difference between the data entries also allowing the US to know the size of the interval. Interval scales allows us to make subtraction and addition on data it's data. Examples of data represented on interval scale include, Temperature, ph and other numeric data with arbitrary zero levels

Answer:

Answer and Explanation:

We have:

Population mean,

μ

=

3

,

000

hours

Population standard deviation,

σ

=

696

hours

Sample size,

n

=

36

1) The standard deviation of the sampling distribution:

σ

¯

x

=

σ

√

n

=

696

√

36

=

116

2) As per the central limit theorem, the expected value of the sampling distribution is equal to the population mean.

Therefore:

The expected value of the sampling distribution is equal to the population mean,

μ

¯

x

=

μ

=

3

,

000

The standard deviation of the sampling distribution,

σ

¯

x

=

116

The shape of the sampling distribution of

¯

x

is approximately normal. As the sample size is more than

30

.

3) The probability that the average life in the sample will be between

2670.56

and

2809.76

hours:

P

(

2670.56

<

x

<

2809.76

)

=

P

(

2670.56

−

3000

116

<

z

<

2809.76

−

3000

116

)

=

P

(

−

2.84

<

z

<

−

1.64

)

=

P

(

z

<

−

1.64

)

−

P

(

z

<

−

2.84

)

=

0.0482

Using Excel: =NORMSDIST(-1.64)-NORMSDIST(-2.84)

4) The probability that the average life in the sample will be greater than

3219.24

hours:

P

(

x

>

3219.24

)

=

P

(

z

>

3219.24

−

3000

116

)

=

P

(

z

>

1.89

)

=

0.0294

Using Excel: =NORMSDIST(-1.89)

5) The probability that the average life in the sample will be less than

3180.96

hours:

P

(

x

<

3180.96

)

=

P

(

z

<

3180.96

−

3000

116

)

=

P

(

z

<

1.56

)

=

0.9406

The expected value, standard deviation, and shape of the sampling distribution of will be 116.

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.

And, A simple random sample of 36 bulbs is taken.

Now,

Since, The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.

And, A simple random sample of 36 bulbs is taken.

Hence, The expected value, standard deviation, and shape of the sampling distribution of is,

⇒ Standard error = 696 / √ 36

                            = 696 / 6

                            = 116

Thus, The expected value, standard deviation, and shape of the sampling distribution of = 116.

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Answer:

Answer 1008

Step-by-step explanation:

Answer:

t=3

Step-by-step explanation:

The best representation of the mean number of sports played by middle school students is 2.75 sports and the MAD is about 0.84 sports.

To find the best representation of the mean number of sports played by middle school students, we need to calculate the median of the given data.

The median represents the central tendency of the data and is less affected by extreme values.

Arranging the means of the samples in ascending order, we have:

1, 1, 2, 2.5, 3, 3, 3.5, 4

Since there are eight values, the median will be the average of the fourth and fifth values:

(2.5 + 3) / 2 = 2.75

Variability in the Distribution

Summing up the absolute deviations:

1.75 + 1.75 + 0.75 + 0.25 + 0.25 + 0.25 + 0.75 + 1.25 = 6.75

To find the MAD, we divide the sum of the absolute deviations by the total number of data points:

MAD = 6.75 / 8 = 0.84

Therefore, the MAD is about 0.84 sports.

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Answer:

total cost = $22.4 + $1.12 = $23.52

Step-by-step explanation:

Mr McNeil bought 2 magazines for $7.45 and 1 book for $14.95 . The sales tax is 6% . The total cost of Mr McNeil can be calculated as follows.

He bought 2 magazines for $7.45  .This means the sum of the prize of the 2 magazine he bought is $7.45 and the prize for the single book he bought is $14.95.  The total cost of the items he bought excluding the sales tax is the sum of the whole items he bought.

total cost excluding sales tax = $7.45 + 14.95 = $22.4

The sales tax is 5% which can be calculated as follows

5/100 × 22.4 = 112/100 = $1.12

The total cost of Mr McNeil purchase including his sales tax is

total cost = $22.4 + $1.12 = $23.52

Answer:

this is an accurate equation because the square root of 3•3•5•5•7•7 is 105 & 3•5•7 is also 105, making them equal! i’m sorry i also don’t understand what the question is asking, but i hope this helped :/

9514 1404 393

Answer:

  a) 0.8

  b) 0.05

  c) 0.01875

Step-by-step explanation:

The denominator will need to have equal powers of 2 and 5 to be a power of 10.

a) 4/5 = (4/5)(2/2) = 8/10 = 0.8

__

b) 1/20 = 1/(2²·5) = (1/20)(5/5) = 5/100 = 0.05

__

c) 3/160 = 3/(2⁵·5) = (3/160)(625/625) = 1875/10000 = 0.01875

Answer:

the answer for this is 15.7 inches to the second power

Step-by-step explanation:

if this helped you should mark this the brainliest answer

The area of the slice = Area of sector of a circle =  15.7 in.².

Area of sector of a circle = ∅/360 × πr².

Given the following:

Plug in the values:

Area of the slice = Area of sector of a circle = ∅/360 × πr² = 50/360 × π(6²)

Area of the slice = Area of sector of a circle = 15.7 in.².

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Answer: x=−1 or x=1 or x=−2 or x=3

Step-by-step explanation: Step 1: Factor left side of equation.

(x+1)(x−1)(x+2)(x−3)=0

Step 2: Set factors equal to 0.

x+1=0 or x−1=0 or x+2=0 or x−3=0

x=−1 or x=1 or x=−2 or x=3

I pretty sure the answer is C

Answer:

Probably different. The average customer will want to buy toys to play with, to have fun with, unlike a collecters motif which is to display their items.

Answer:

Nick = 13 years old.

Step-by-step explanation:

Define the variables:

Given:

Create a system of equations with the given information and defined variables:

\(\begin{cases} w=n-5\\n+w=21\end{cases}\)

Substitute the first equation into the second equation and solve for n:

\(\implies n+(n-5)=21\)

\(\implies 2n-5=21\)

\(\implies 2n-5+5=21+5\)

\(\implies 2n=26\)

\(\implies 2n \div 2=26 \div 2\)

\(\implies n=13\)

Therefore, Nick is 13 years old.

To find the age of Will, simply substitute the found value of n into the first equation and solve for w:

\(\implies w=13-5\)

\(\implies w=8\)

Therefore, Will is 8 years old.

Answer:

5.90625

Step-by-step explanation:

15*3/8=5 5/8

5 5/8=5.625

1.05*5.625=5.90625

The cost of the turkey for Thanksgiving dinner is $ 11.8125

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of 1 pound of turkey = $ 1.05

Total number of people at the Thanksgiving dinner = 15 people

The number of servings for each person = 2 servings

The amount of turkey servings for each person = 2 x 3/8 pound servings

                                                                               = 3/4 pound servings

Now , the equation will be

So , the total cost of 3/4 pound servings of turkey =
3/4 x cost of 1 pound of turkey

The total cost of 3/4 pound servings of turkey = 3/4 x 1.05

                                                                             = $ 0.7875

Now , the cost for 15 people at the Thanksgiving dinner =
15 x total cost of 3/4 pound servings of turkey

The cost for 15 people at the Thanksgiving dinner = 15 x 0.7875

                                                                                    = $ 11.8125

Hence , The cost of the turkey for Thanksgiving dinner is $ 11.8125

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Around 0.000125 or 0.0125% of the time, the song will be played exactly six out of seven days.

Every day represents a trial in this binomial probability issue, and there are only two potential results:

either the music is played (a success), or it is not (failure). We're looking for the likelihood that exactly 6 out of 7 trials will be successful.

The likelihood of success (performing the song) is 1/6, while the likelihood of failure (not playing the song) is 1 - 1/6 = 5/6, on any given day.

We can use the binomial probability formula to find the probability of exactly 6 successes in 7 trials:

P(6 successes) = (7 choose 6) * (1/6)⁶ * (5/6)¹

where (7 choose 6) is the number of ways to choose 6 days out of 7 to play the song, and is calculated as:

(7 choose 6) = 7! / (6! * 1!) = 7

Plugging in the values, we get:

P(6 successes) = 7 * (1/6)⁶ * (5/6)¹

P(6 successes) ≈0.00012502

Therefore, the probability that the song will be played on exactly 6 days out of 7 is approximately 0.000125 or 0.0125%.

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Answer: 11

Step-by-step explanation: To find the value of (fog)(-1), we first need to find the value of g(-1), which means plugging -1 into the equation for g(x):

g(x) = x² – 5x - 5

g(-1) = (-1)² – 5(-1) - 5

g(-1) = 1 + 5 - 5

g(-1) = 1

Now we need to find (fog)(x) by plugging g(x) into f(x) and simplifying:

f(x) = -x - 12

fog(x) = f(g(x))

fog(x) = f(x² – 5x - 5)

fog(x) = -(x² – 5x - 5) - 12

fog(x) = -x² + 5x + 17

Finally, we can find (fog)(-1) by plugging -1 into the equation for fog(x):

fog(x) = -x² + 5x + 17

(fog)(-1) = -(-1)² + 5(-1) + 17

(fog)(-1) = -1 - 5 + 17

(fog)(-1) = 11

Therefore, the value of (fog)(-1) is 11.

Answer:

Cluster Sampling

Step-by-step explanation:

Cluster Sampling involves the random sampling of observation or subjects, which are subsets of a population. Cluster analysis involves the initial division of population subjects into a number of groups called clusters . From the divided groups or clusters , a number of groups is then selected and it's elements sampled randomly. In the scenario above, the divison of the population into towns where each town is a cluster. Then, the selected clusters (12) which are randomly chosen are analysed.

Answer:

See below

Step-by-step explanation:

 x       1         2        3         4        5

 y        3        6         9        12       15