HELP PLEASE! 49 POINTS!


show work!!!!!!

Answer:

6.1

Step-by-step explanation:

We are rounding the 1, so we look to the next digit.  3 < 5, so we can leave the 1 alone.

6.13 rounds to 6.1

Answer:

6.1

Step-by-step explanation:

The 3 is smaller than 5 so it doesn't round to 6.2

John was traveling at a speed of 57.91 miles per hour when he covered a distance of 1700 feet in 20 seconds.

To calculate the speed at which John was traveling in miles per hour, we will convert the given distance to miles and the time to hours, then divide the distance by the time. There are 5280 feet in a mile and 3600 seconds in an hour.

First, convert 1700 feet to miles:

Next, convert 20 seconds to hours:

Finally, calculate the speed in miles per hour:

So, John was traveling at 57.91 miles per hour.

Answer:

4.13E7 means 4.13 times 10 to the 7th power which equals

4.13 x 10^7 OR

41,300,000

Step-by-step explanation:

Answer:

draw out your diagram... if it was 1/2 draw one long shape (say it's a rectangle) and cut it once

Step-by-step explanation:

===/===

it should look something like this (represents 1/2)

Answer:

The equation of the line that passes through the points (-2, 3) and (2, 7) is   x - y + 5 = 0.

Step-by-step explanation:

Answer:

a = 8, b= - 48, c = - 16

Step-by-step explanation:

multiply through by 8x² to eliminate fractions

[tex]x^{5}[/tex] - 16 = 48x² - 8x³ ( subtract 48x² - 8x³ from both sides )

[tex]x^{5}[/tex] + 8x³ - 48x² - 16 = 0

compare the coefficients of like terms to

[tex]x^{5}[/tex] + ax³ + bx² + c = 0

⇒ a = 8, b = - 48, c = - 16

Answer:

A. What is the percent of change from last year to this year.

Answer: The percent of change from last year to this year is:

[tex]\frac{10.00 - 8.50}{8.50} \times 100[/tex]

[tex]\frac{1.50}{8.50} \times 100[/tex]

[tex]17.65 \%[/tex]

Therefore, the percent change from last year to this year is 17.65%

B. Is this a percent increase or decrease?

Answer: This is a percent increase.

C. If you have 25% off coupon to use on 10.00 ticket what is the cost?

Answer: The 25% of 10.00 is given below:

[tex]\frac{25}{100} \times 10.00[/tex]

[tex]0.25 \times 10.00[/tex]

[tex]2.5[/tex]

Therefore, the cost is:

[tex]10.00 -2.5 =7.5[/tex]

Answer:

false

Step-by-step explanation:

This statement is false, in a biased sample every member does not have an equal chance of getting selected.

If some individuals or groups from the population are not represented in the sample, the sample is biased.

Example of a biased sample:

The graph presented in the figure below, represents the drug usage by school students but this is a biased data because it does not include the students who have already passed out from the school or the students who were studying from home, as this data is not the complete data hence it is an example of a biased sample.

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Answer:

(10,8)

Step-by-step explanation:

The equation of a circle has the following form:

[tex](x-h)^2+(y-k)^2=r^2[/tex] where (h,k) is the center of a circle with radius r.

Our equation is:

[tex](x-10)^2+(y-8)^2=256[/tex]

The center is (10,8).

The center of the circle given by the equation (x−10)² + (y−8)² = 256 is (10, 8). This can be derived from the standard form of a circle's equation. Therefore, the coordinates are (10, 8).

The given equation of the circle is (x−10)² + (y−8)² = 256.

This equation is in the standard form of a circle's equation, (x−h)² + (y−k)² = r², where (h, k) represents the center and r is the radius.

In this case, the values of h and k can be directly identified from the equation: h = 10 and k = 8.

Therefore, the center of the circle is at the coordinates (10, 8).

Answer:

x = 11

Step-by-step explanation:

the line x + 5 is a mid segment of the triangle and thus is half the length of 3x - 1, that is

x + 5 = [tex]\frac{1}{2}[/tex](3x - 1)

multiply both sides by 2 to eliminate the fraction

2x + 10 = 3x - 1 ( subtract 3x from both sides )

- x + 10 = - 1 ( subtract 10 from both sides )

- x = - 11 ( multiply both sides by - 1 )

x = 11

Answer:

72 girls

Step-by-step explanation:

If a class has 17 boys and 18 girls, the total number of students in the class is

17+ 18 = 35

the ratio  of girls to students is 18/35

Using the same ratio of girls to students

18           x

-----  = ----------

35         140

We can solve this using cross products

18*140 = 35x

2520=35x

Divide each side by 35

2520/35 = 35x/35

72 =x

There are 72 girls

Answer:

y=2x

Step-by-step explanation:

The equation for slop-intercept form is y=mx+b where m is the slope and b is the y-intercept.

2 represents the rise/over since you rise 2 units (up) and run 1 unit (to the right). So the slope is 2/1 or just 2, and then you multiply it by x to get 2x.

The line starts at the origin (0,0), so the y-intercept would be 0. They didn't say y=2x+0 because the + 0 wouldn't change the line.

The equation that represents a line on a graph can be determined using the slope-intercept form, y = mx + b. To find the equation, you need to determine the slope and the y-intercept.

The equation that represents a line on a graph can be determined using the slope-intercept form, y = mx + b. In this form, m represents the slope of the line and b represents the y-intercept (the point where the line intersects the y-axis).

To find the equation of the line shown on the graph, you need to determine the slope and the y-intercept. You can do this by selecting any two points on the line and using their coordinates to calculate the slope, and then substituting one of the points into the equation to solve for the y-intercept.

Once you have the slope and y-intercept values, you can substitute them into the slope-intercept form to write the equation of the line.

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You are correct. The answer is choice D

BD = BD by the reflexive property, which says that any segment is equal to itself

The hinge theorem says that the larger an angle is, the larger the opposite side will be. The converse goes in the opposite direction: if the side is larger, then the opposite angle is larger.

The probability of getting exactly 4 tails when flipping a fair coin 6 times is 0.234375, or about 23.44%.

To find the probability of getting exactly 4 tails when flipping a fair coin 6 times, we can use the binomial probability formula. The formula is:

P(X=k) = C(n, k) * p^k * (1-p)^(n-k)

Where:

Plugging these values into the formula, we get:

P(X=4) = 15 * 0.5^4 * (1-0.5)^(6-4) = 15 * 0.0625 * 0.25 = 0.234375

So, the probability of getting exactly 4 tails when flipping a fair coin 6 times is 0.234375, or about 23.44%.

We know: The sum of measures of a tringle is equal 180°.

Therefore we have the equation:

m∠SQR + 58° + 35° = 180°

m∠SQR + 93° = 180°     subtract 93° from both sides

m∠SQR = 87°

Angles SQR and PQR are supplementary. The sum of the measures of supplementary angles is 180°.

Therefore:

x + 87 = 180     subtract 87 from both sides

Answer:

Total discount = $39.50

                  or 46.47 %

Step-by-step explanation:

First we need to figure out what she will pay for the shoes.  She is getting 30 percent off the 65 dollars.

Discount = price * percent off

                = 65*.3

                = 19.50

The cost of her shoes is the price minus the discount.

Cost = 65- 19.5

        = 45.50

To find the total discount, take the original price and subtract the final cost.

Total discount = 85-45.50

                        = 39.50

To find the total percent discount, we use the formula

      total percent discount = (original - final)/original * 100

                                             = (85- 45.50)/85 * 100

                                             = 39.5/85*100

                                              = 46.47%

Answer:

Therefore, Mid point : -2+5i.

Step-by-step explanation:

Given  :  Z1 = -8 + 3i and Z2 = 4 + 7i.

To find : What is the midpoint.

Solution : We have given  Z1 = -8 + 3i and Z2 = 4 + 7i.

Mid point :  [tex]\frac{z_{1}+z_{2}}{2}[/tex].

On plugging the values.

Mid point :  [tex]\frac{-8+3i + 4 +7i}{2}[/tex].

Combine like terms.

Mid point :  [tex]\frac{-8+4+3i +7i}{2}[/tex].

Mid point :  [tex]\frac{-4+10i}{2}[/tex].

Mid point : -2+5i.

Therefore, Mid point : -2+5i.

Answer:

CQ=4 cm, BQ=8 cm

Step-by-step explanation:

In given triangle ABC draw the line MD parallel to the AQ.

1. Consider triangle AMD. In this triangle PQ║MD (build) and CP=PM (P is midpoint of CM). Then by the triangle midline theorem,  line PQ is midline of triangle AMD and CQ=QD.

2. Consider triangle BAQ. In this triangle AQ║MD and AM=MB. Then by the triangle midline theorem,  line MD is midline of triangle BAQ and BD=QD.

Hence, CQ=QD=BD. Since BC=12 cm and

BC=BQ+QD+BD,

then  

[tex]CQ=QD=BD=\dfrac{12}{3}=4\ cm.[/tex]

Note that

BQ=BD+QD=4+4=8 cm.

Final answer:

By examining the properties of median CM and midpoint P, we conclude that segment CQ is equal to QB, and both are 6 cm long in △ABC since CM bisects AB and BC is given as 12 cm.

Explanation:

The problem involves a triangle △ABC with CM being a median to side AB, and a line segment AP that intersects BC at point Q. According to the given information, P is the midpoint of CM, which implies that CP is equal to PM. Because BC is 12 cm in length, and CM is a median, we deduce that M is the midpoint of AB. This fact leads us to conclude that the triangles △CMB and △CMA are congruent by the Side-Side-Side (SSS) postulate, which means that CQ is equal to QB, and both are 6 cm long since Q lies on BC.

Answer:

1 a.  2 d.  3 b.  4 c.   that is your answer i believe

Step-by-step explanation:

Answer:

1 & 3 are supplementary angles

1 & 4 are vertical angles

1 and 5 are corresponding angles

1 and 8 are alternate exterior angles

Step-by-step explanation:

I'm a bit unsure about the first one, but I know the rest are correct :)

Answer:

$32 is the sales price.

Step-by-step explanation:

First, change the percentage to a decimal.

60% = 60/100 = 0.6

Next, multiply 0.6 with the regular price ($80)

80 x 0.6 = 48

$48 is the discount. Subtract from the original price

80 - 48 = 32

$32 is the sales price.

~

Answer:

$32

Step-by-step explanation:

The sales price = original price - original price * discount rate

Factor out the original price

sales price = original price (1 -discount rate)

We know the original price is 80

We know the discount rate is 60% = .6

Substitute these values in

sales price = 80 (1-.6)

sales price = 80 * .4

sales price = 32

Answer: answers B and E and C are correct

Answer:

E. x ≥ 5y

A. y ≤ 25

B. x + y ≥50

Step-by-step explanation:

Let x represent the number of key chains.

Let y represent the number of thumb drives.

As we know that:

<=> x ≥ 5y

<=> y ≤ 25  

<=> x + y ≥50

So inequalities are among the constraints for this situation are:

x ≥ 5y

y ≤ 25

x + y ≥50

Answer:

(g ∘ f)(-2) = 1

Step-by-step explanation:

f(x)=x^2

g(x)=x-3

(g o f)(-2)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(x^2)

(g o f)(x)=(x^2)-3

(g o f)(x)=x^2-3

x=-2→(g o f)(-2)=(-2)^2-3

(g o f)(-2)=(-2)(-2)-3

(g o f)(-2)=4-3

(g o f)(-2)=1

A) The rate for the first 3 years :

15,600 - 7500 = 8100

8100/3 years = 2,700 per year depreciation.

B) The rate between 3 and 8 years:

7500 - 2800 = 4700

4700 / 5 year = 940 per year depreciation.

C) the value of the machine depreciated at a higher rate in the first 3 years. After the first 3 years, the depreciation rate decreased.

Answer:

A) Given,

The value of the machine when purchased = 15,600

And, the value of the machine after 3 years = 7,500

So, average rate of change in value (depreciation) of the machine between its purchase and the end of 3 years

[tex]=\frac{\text{the value after 3 years-the value when it purchased}}{3-0}[/tex]

[tex]=\frac{7500-15600}{3}[/tex]

[tex]=\frac{-8100}{3}[/tex]

= - 2,700

B) The value of car after 8 years = 2,800,

So, the average rate of change in the value of car between the end of 3 years and 8 years

[tex]=\frac{\text{the value after 8 years-the value after 3 years}}{8-3}[/tex]

[tex]=\frac{2800-7500}{5}[/tex]

[tex]=\frac{-4700}{5}[/tex]

=- 940

C) The negative sign shows the value of car is decreasing.

Answer:

13 miles

Step-by-step explanation:

The fare for the Uber

Cost= 5+ .5 m  

where m is the number of miles

We spent 11.50

11.50 = 5 + .5 m

Subtract 5 from each side

11.5 -5 = 5+.5m -5

6.50 = .5 m

Divide by .5 on each side

6.5/.5 = .5m/.5

13 = m

We went 13 miles

To calculate the different ice cream desserts Rachel can order, we use the formula for combinations without repetition. Given 5 sizes, 2 flavors, and 1 topping, the number of choices for each category: 5 sizes x 2 flavors x 1 topping = 10 different ice cream desserts Rachel could order.

Total ice cream desserts = (Number of sizes) × (Number of flavors) × (Number of toppings)

= 5 × 2 × 1

= 10

So, Rachel could order 10 different ice cream desserts by combining the choices for size, flavor, and topping.

Answer:

Step-by-step explanation:

1.20 x 5.75

=$6.90

The cost of petrol is given per gallon. Therefore, to find the cost of 5 3/4 gallons of petrol, multiply the cost per gallon which is 1.20 by the number of gallons, 5 3/4, that gives 6.90. Hence, 5 3/4 gallons of petrol would cost 6.90.

To find out the cost of 5 3/4 gallons of petrol, we first need to understand that the cost is listed per gallon. This means that for every gallon, you pay 1.20. So, to calculate the cost of 5 3/4 gallons, we just need to multiply the cost per gallon by the number of gallons.

So, the cost of 5 3/4 gallons would be: 1.20 (cost per gallon) x 5 3/4 (number of gallons) = 6.90.

Therefore, 5 3/4 gallons of petrol would cost 6.90.

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Answer:

65

Step-by-step explanation:

let the son's age be x then the man's age is 5x

In 13 years

son's age = x + 13 and man's age = 5x + 13 and he is 3 times as old as son

5x + 13 = 3(x + 13)

5x + 13 = 3x + 39 ( subtract 3x from both sides )

2x + 13 = 39 ( subtract 13 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13 ← son's present age

5x = 5 × 13 = 65 ← man's present age

Answer:

The man's present age is 65.  

Step-by-step explanation:

Let x = the man's age and y = his son's age.

In 13 yr, their ages will be x + 13 and y + 13, respectively.

We have two conditions:

(1)          x = 5y

(2) x + 13 = 3(y + 13)     Remove parentheses

    x + 13 = 3y + 39      Subtract 13 from each side

(3)        x = 3y + 26      Substitute (1) into (3)

         5y = 3y + 26      Subtract 2y from each side

         2y = 26              Divide each side by 2

(4)        y = 13                Substitute (4) into (1)

           x = 5 × 13

           x = 65

The man's present age is 65.