MATHEMATICS
HIGH SCHOOL

Answer:

Answer: Colton will earn $117 if he worked for 15 hours and made 8 deliveries.

Step-by-step explanation:

Colton earns 7 per hour plus 1.50 for each pizza delivery. This is represented by the expression,

7h+1.50d

Which can be used to find the total earnings for h hours and after d deliveries have been made.

If Colton worked for 15 hours and made 8 deliveries, then the total amount of money that Colton would earn is

7 × 15 + 1.50 × 8

= 105 + 12 = $117

MIDDLE SCHOOL

Point A has the coordinates (2,2). What are the coordinates of its image point if it is translated 2 units up and 5 units to the left, and reflected in the x axis?

(-3,-4) are the coordinates of its image point if it is translated 2 units up and 5 units to the left, and reflected in the x-axis.

What is coordinates?Coordinates is a "pair of numbers that describes the position of point on a coordinate plane by using the horizontal and vertical distances from the two references axes".

According to the question,

Point A has the coordinates (2,2)

A translation of 2 units up will increase the y- coordinates by 2 units.

A translation of 5 units left will decrease the x- coordinates by 5 units.

(2 - 5, 2 + 2) = (-3,4)

when the points (-3,4) is reflected in the x-axis , its y- coordinates changes sign and the point (-3,4) becomes

(-3,-4).

To learn more about coordinates here

brainly.com/question/21501046

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A translation of 2 units up will increase the y coordinate by 2 units and a translation by 5 units to the left will decrease the x coordinate by 5. Hence after these translations point (2,2) becomes

(2 - 5 , 2 + 2) = (-3,4)

When point (-3,4) is reflected in the x axis, its y coordinate changes sign and point (-3 ,4) becomes

(-3,-4)

(2 - 5 , 2 + 2) = (-3,4)

When point (-3,4) is reflected in the x axis, its y coordinate changes sign and point (-3 ,4) becomes

(-3,-4)

MIDDLE SCHOOL

The legs of a right triangle are 3 units and 6 units. What is the length of the hypotenuse?

Answer:

The length of the hypotenuse is

Step-by-step explanation:

For a straight triangle it is true that

Where has is the hypotenuse of the right triangle and a and b are the lengths of the other two sides.

In this case we know that:

So the hypotenuse is:

ANSWER

The hypotenuse is 3√5 units.

EXPLANATION

We use the Pythagoras Theorem.

Let h be the hypotenuse.

The Pythagoras Theorem says that, the hypotenuse square is equal to the sum of the squares of the two shorter legs.

Take positive square root.

HIGH SCHOOL

Ryan is performing an experiment. He starts with a solution that has a temperature of 12.2°C. He lowers the temperature 5 times by the same amount each time. He stopped the experiment when the temperature of the solution was was -14.61°C. Which equation can be used to find x, the number of degrees he lowered the temperature by each time?

Answer: The equation that can be used to find x, is given by

Step-by-step explanation:

Let the number of degrees he lowered the temperature by each time be 'x'.

Temperature he starts with = 12.2° C

Temperature he stopped with = -14.61° C

According to question, it is said that he lowers the temperature 5 times by the same amount each time.

So, it becomes,

Hence, the equation that can be used to find x, is given by

HIGH SCHOOL

Please help Let f(x)= (P/Q)/(R/Q) and g(x)= (P/R), where P, Q, and R are polynomials. Explain how to find the excluded values of F and why you should not try to find those values by examining G.

Answer:

f(x) is undefined where Q=0 or R=0.

Step-by-step explanation:

The function f(x) will be undefined if any of the denominators is zero. That will be the case for Q=0 and for R=0. (You can find some of the excluded values by examining g(x) = P/R.)

To find the excluded values, find the zeros of the denominator polynomials.

___

By itself, examining g(x) may not tell you all of the excluded values of the domain of f(x). The zeros of Q also need to be excluded.

MIDDLE SCHOOL

In how many ways can 5 children be matched with 5 puppies?

There are total 5! ways = 5*4*3*2 = 120

...............

MIDDLE SCHOOL

It takes an answer for three days to consume 1/2 of an apple at that rate and how many days will the Ant farm consume 3 apples

Answer:

in 18 days the ant farm will have eaten 3 apples

Step-by-step explanation:

HIGH SCHOOL

A recent survey found that 7575% of all adults over 50 wear glasses for driving. In a random sample of 4040 adults over 50, what is the mean and standard deviation of those that wear glasses? Round the answers to the nearest hundredth.

Answer:

Mean = 30

standard Deviation = 2.74

Step-by-step explanation:

Formula

mean = np

Standard Deviation =

from the question = 40

P = 75% or 0.75

q = 1 - p = 1 - 75% or 1 - 0.75

To find mean

mean = 40 x 0.75

= 30

For Standard Deviation (SD)

Standard Deviation =

=

=

:. Standard Deviation = 2.74

HIGH SCHOOL

John drove 450 miles in 8 hours. he averaged 50 miles per hour on the highway and 60 miles per hour on the turnpike. how many hours did he drive on the highway?

Total distance John drove=450 miles

total time=8 hours

let the number of hours he drove on highway be x, number of hours he drove on turnpike will be (8-x) hours

since

distance=speed*time

distance traveled in highway=50x

distance traveled in turnpike=60(8-x)

thus the total distance will be:

50x+60(8-x)=450

simplifying the above

50x+480-60x=450

-10x=450-480

-10x=-30

thus

x=3 hours

Thus he drove on highway for 3 hours.

total time=8 hours

let the number of hours he drove on highway be x, number of hours he drove on turnpike will be (8-x) hours

since

distance=speed*time

distance traveled in highway=50x

distance traveled in turnpike=60(8-x)

thus the total distance will be:

50x+60(8-x)=450

simplifying the above

50x+480-60x=450

-10x=450-480

-10x=-30

thus

x=3 hours

Thus he drove on highway for 3 hours.

HIGH SCHOOL

Timothy draws three isosceles triangles. In each figure, he measures a pair of angles. What is a reasonable conjecture for Timothy to make by recognizing a pattern and using inductive reasoning? In an isosceles triangle, two of the angles are congruent.

In an isosceles triangle, all of the angles are congruent.

In an isosceles triangle, two of the angles are obtuse.

In an isosceles triangle, one angle is always obtuse.

If Timothy is using inductive reasoning then he has to make a conclusion by observing some patterns in the activity that he is performing.

The conclusion that Timothy makes as a result of recognizing a pattern is called a

All isosceles triangles have two of their angles equal. This is an established fact about isosceles triangles. Therefore a reasonable conjecture that Timothy will make if he measures the angles correctly is

'In an isosceles triangle, two of the angles are equal.'

Hence the correct answer is the first option.

The conclusion that Timothy makes as a result of recognizing a pattern is called a

All isosceles triangles have two of their angles equal. This is an established fact about isosceles triangles. Therefore a reasonable conjecture that Timothy will make if he measures the angles correctly is

'In an isosceles triangle, two of the angles are equal.'

Hence the correct answer is the first option.

Answer: In an isosceles triangle, two of the angles are congruent.

Step-by-step explanation:

An isosceles triangle is a triangle with two equal sides.

We know that there is a theorem that tells that angles opposite to the congruent side of triangles are congruent.

Thus, we know that isosceles triangle has two angles congruent.

We know that the inductive reasoning is a specific reasoning which conclude a general conclusion.

Thus, a reasonable conjecture for Timothy to make by recognizing a pattern and using inductive reasoning is "In an isosceles triangle, two of the angles are congruent."