The enrollment at a high school for the year 2007 is approximately 1500. The growth of the school population can be represented by the equation P = 1500(1.04)x where x represents the years after 2007. After how many years will the population of the school be approximately 1900?

Answers

Answer 1

Given equation:
P=1500 (1.04)^x
When have to find x, when population, p=1900
Put value of P=1900 in above equation.
1900=1500(1.04)^x
Divide both sides by 1500
19/15=(1.04)^x
1.27=(1.04)^x
Take natural log.
ln(1.27)= ln(1.04)^x
ln(1.27)=x ln (1.04)
Divide both sides by ln (1.04)
x=6 years

Answer: 6 years

Answer 2

well if you do the math you will get 6 so your answer is 6

Related Questions

help me please. Find the values of x and y that make these triangles congruent by the HL Theorum.

A. x=2, y=1

B. x=3, y=2

C. x=1, y=2

D. x=2, y=3

Answers

according to the HL theorem for right-triangles, one leg and the hypotenuse must be equal, what does that mean?

well it means that 3y = x + 3, and that y + 1 = x, when does that happen anyway? let's see,

[tex]\bf \begin{cases} 3y=x+3\\ y+1=\boxed{x} \end{cases}\implies 3y=\boxed{y+1}+3\implies 3y=y+4 \\\\\\ 2y=4\implies y=\cfrac{4}{2}\implies y=2\\\\ -------------------------------\\\\ \textit{and since we know that }y+1 =x\implies (2)+1=x\implies 3=x[/tex]

How long will it take for 750 mg of a sample of radium-225, which has a half-life of about 15 days, to decay to 68 mg?

A. ≈ 50 days
B. ≈ 54 days
C. ≈ 48 days
D. ≈ 52 days

Answers

For this case we have an equation of the form:
y = A (b) ^ t
Where,
A: initial amount
b: decrease rate
t: time
Substituting values:
y = 750 (0.5) ^ ((1/15) * t)
The number of days to reach 68 mg is:
68 = 750 (0.5) ^ ((1/15) * t)
Clearing t:
(0.5) ^ ((1/15) * t) = (68/750)
log0.5 ((0.5) ^ ((1/15) * t)) = log0.5 (68/750)
(1/15) * t = log0.5 (68/750)
t = 15 * log0.5 (68/750)
t = 51.94
Rounding:
t = 52 days
Answer:
D. ≈ 52 days

Answer:

52 Days

Step-by-step explanation:

20 Points!!!
For working 13 hours you earned $45.50 and $94.50 for 27 hours. What is your rate of pay in dollars per hour? a. 14 dollars per hour b. 3.50 dollars per hour c. 6.50 dollars per hour d.2.07 dollars per hour

Will give branliest!!!
Help ASAP.

Answers

B 3.5 dollar per hour

Answer:

$3.50 per hour

Step-by-step explanation:

Given : For working 13 hours you earned $45.50 and $94.50 for 27 hours

To Find :What is your rate of pay in dollars per hour?

Solution :

Pay for 13 hours = $45.50

So, Pay for 1 hour = [tex]\frac{45.50}{13}[/tex]

Pay for 1 hour = [tex]3.50[/tex]

So, rate is $3.50 per hour

So, Option B is true

Hence rate of pay in dollars per hour is $3.50 per hour

The manager of a convenience store wishes to determine how many cartons of eggs are damaged in shipment and delivery. For ten shipments of 1000 cartons of eggs, she examines every 50th carton to see how many cartons contain cracked eggs.

Identify the population and the sample

a.

population: 1,000,000 cartons of eggs

sample: every 50th carton in each shipment

c.

population: 10 shipments of 1000 cartons of eggs

sample: every 50th carton in each shipment

b.

population: 1,000,000 cartons of eggs

sample: the 50th carton of eggs

d.

population: 10 shipments of 1000 cartons of eggs

sample: the 50th carton of eggs

Answers

10 times 1000 is 10,000, not 1,000,000. So, option A and B can be immediately eliminated, and since the question say every 50th carton, I think the answer is C.

Answer:

Option c. Population: 10 shipments of 1000 cartons of eggs

sample: every 50th carton in each shipment.

Step-by-step explanation:

First we find out population :

For ten shipments of 1000 cartons of eggs. In other words in each 10 shipments there are 1000 cartons of eggs.

Therefore, 1000 × 10 = 10,000 cartons of eggs.

Population : 10,000 cartons of eggs

Now it is given that she examines every 50th carton to see how many cartons contain cracked eggs.

Hence, Sample would be every 50th carton in each shipment.

In option a and b given cartons of eggs are 1,000,000, so they would be eliminated and in option d it is given that sample is only 50th carton of eggs

Therefore, option c would be correct.

Zaira spent 55 hours in 2 weeks working on a science project. she worked 32 hours the first week. Write and solve an addition equation to find the amount of time she spent working the second week.

Answers

what do we know?
55 hours in 2 weeks
32 hours in the first week
So, 32 plus the amount of time she worked on the project the second week adds up to 55.
32 + x = 55
Now, simply solving! What you do to one side, you do to the other in order to isolate the variable
(32 - 32) + x = (55 - 32)
x = 23
She worked 23 hours on the project during the second week!

A flower garden is in the shape of a right triangle. One leg of the triangle is 6 ft long and the hypotenuse is 12 ft long. What is the length of the other leg?

answers
A. 10.4ft
B.12.8ft
C13ft
D14.6ft

Answers

I believe the correct answer is A 10.4 feet long.
If this answer helped you and was correct you can name me "Brainliest." ty :)

Sammy is 5 feet 3 inches tall. He casts a shadow that is 31 feet 6 inches long. He is standing next to a stop sign that casts a shadow that is 40 feet 6 inches long. How tall is the stop sign in feet and inches.

Answers

Both Sammy and the stop sign form right angles with the ground. They also have the same angle of depression, where the sun hits them and casts their shadows. This means the third angle of each triangle must be congruent as well. Therefore the triangles will be similar. Since they are similar, we will use a proportion to solve this problem. First I convert the feet and inches to only inches. 5 ft 3 in = 63 in; 31 ft 6 in = 378 in; 40 ft 6 in = 486 in. The proportion will then be
[tex]\frac{378}{486}=\frac{63}{x}[/tex]. This comes because we compare corresponding sides of the similar triangles. 378 corresponds with 486, since they are the horizontal lengths of the shadows. 63 corresponds to x, since they are the heights of Sammy and the sign. Solving this by cross multiplication:
[tex]378*x=63*486 \\378x=30618[/tex]
Divide both sides by 378:
[tex]\frac{378x}{378}=\frac{30618}{378} \\x=81[/tex]
The sign is 81 inches tall. Converting this to feet and inches, divide by 12; this gives us 6.75. We have 6 feet and 0.75 feet. 0.75 feet * 12 inches per foot = 9 inches. The sign is 6 feet 9 inches tall.

true or false 120% of a whole number is always greater than the number? and why?

Answers

I can only use math to explain it. What is 100%?
100% = [tex] \frac{100}{100}[/tex]
percent means per 100.
so 120% = 120/100 = 1.2
120% of a whole number. For example 120% * 10 = [tex] \frac{120}{100} * 10 [/tex] = 12
is it greater than 10.

Since whole numbers are positive integers, then it follows that a positive integer multiplied by 1.2 will be greater than the original by 20%.

An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a cylinder, as shown below:

© 2011 Jupiterimages Corporation

Each cone of the hourglass has a height of 18 millimeters. The total height of the sand within the top portion of the hourglass is 54 millimeters. The radius of both cylinder and cone is 8 millimeters. Sand drips from the top of the hourglass to the bottom at a rate of 10π cubic millimeters per second. How many seconds will it take until all of the sand has dripped to the bottom of the hourglass?
68.3
38.4
268.8
230.4

Answers

Answer: third option 268.8

Explanation:

For this kind of proble it is very important that you attach the figure because it contains important information to understand the question.

I have attached the figure for better understanding.

1) The top portion (and the bottom is congruent but rotated 180°) of the hourglass is a figure equivalent to a cylinder on top and a cone on bottom.

So the total volume contained in the top portion is the volume of a cylinder + the volume of a cone.

This is how you calculate the volume of the top portion:

1) The height of the cylinder is 54 mm - 18 mm = 36 mm

2) The formula for the volume of a cylinder is V = π (radius)^2 * height

radius = 8 mm
height = 36 mm

=> V = π(8mm)^2 * 36 mm = 2304π (mm)^3

3) The formula for the volume of a cone is V = (1/3)π(radius)^2 * height

radius = 8 mm
height = 18 mm

V = (1/3)π(8mm)^2 * 18 mm = 384π (mm)^3

4) The total volume of the top portion is volumen of the cylindrical part + voume of the cone:

Total voluem = 2304π (mm)^3 + 384π (mm)^3 = 2688π (mm)^3

5) To find the number of seconds it take until all of the sand has dripped to the bottom of the hourglass you have to divide the total volumen of sand by the rate:

time in seconds = total volume of sand / rate of dripping

time in seconds = [2688 π (mm)^3 ] / [10π (mm)^3 / s] = 268.8 s

That is the answer: 268.8 s

The answer is 268.8 (third one) just took the quiz

Which of these states had a flat state income tax in 2009

Apex
A.Michigan
B.New Hampshire
C.South Carolina
D.Georgia

Answers

the answer would have to be Michigan. They had a flat income tax in 2009

Answer:

The correct answer is:

Michigan.

Michigan is the state that had a flat state income tax in 2009.

Step-by-step explanation:

A flat tax (short for flat-rate tax) is a tax system with a constant marginal rate, usually applied to individual or corporate income.

Flat tax benefits higher income brackets progressively due to decline in marginal value.

The state that had a flat state income tax in 2009 is:

Michigan.

Michigan is a flat-tax state that levies a state income tax of 4.25%

Solve for x
Please help quick

Answers

a and b are perpendicular meaning that they intersect forming 90
b and c are parallel meaning that the intersection of c and a is also perpendicular

11x - 9 = 90 degrees
solve
11x - 9 = 90
add 9 to both sides
11x = 99
divide both sides by 11
x = 9

Hope this helps

Evaluate a/b for a= 1/2 and b= - 3/7

A) - 7/6

B) 3/14

C) - 3/14

D) - 32/21

Please explain your answers.
Thanks! : )

Answers

Evaluate a/b for a= 1/2 and b= - 3/7
You are given that a is 1/2 and b is -3/7
Write this down...

Answer: -7/5

Substitute the value of the variable into the expression and simplify.

Exact Form: −7/6

Assume that the grasshopper in the food pyramid above must eat half its body weight in grass each day. If an average-size grasshopper weighs 2 grams, and 1 blade of grass weighs 0.1grams (one tenth of a gram), how many blades of grass does the grasshopper need to eat each day?

Answers

The first thing we need to know is how much grass the grasshopper needs to eat.
We have:
"must eat half its body weight in grass each day":
(2 grams) * (1/2) = 1 gram
Then,
"1 blade of grass weighs 0.1grams"
Then the amount you need to eat is given by:
N = (1) / (0.1)
N = 10 blades of grass
Answer:
the grasshopper needs to eat 10 blades of grass each day

Answer:

The grasshopper needs to eat 10 blades of grass each day.

Step-by-step explanation:

The grasshopper in the food pyramid above must eat half its body weight in grass each day.

The average weight of the grasshopper is 2 grams.

The weight of one blade of grass is 0.1 grams.

Now,

The weight of grass eating by the grasshopper per day is 1 gram.

Let us assume that the grasshopper eats the "n" number of blades of the grass.

Therefore,

[tex]\begin{aligned}n \times 0.1\;\rm{gm}&=1\;\rm{gm}\\n&=\dfrac{1}{0.1}\\n&=10\end{aligned}[/tex]

To know more, please refer to the link:

https://brainly.com/question/19043537?referrer=searchResults

abcd is an isosceles trapezoid with legs AB and CD and base BC. If the length of AB is 7y-4, the length of BC s 4y-6 and the length of CD is 8y-18, find the value of y. 30 points for brainliest!

Answers

We are told that the legs of the isosceles trapezoid are AB and CD

AB = 7y - 4
CD = 8y - 18

In any isosceles trapezoid, the two legs are of equal length.
Therefore, AB = CD

⇒ 7y - 4 = 8y - 18

Add 18 to both sides of the equation
7y - 4 + 18 = 8y - 18 + 18
7y + 14 = 8y

Subtract 7y from both sides of the equation
7y - 7y + 14 = 8y - 7y
14 = y
⇒ y = 14

The value of 'y' in the isosceles trapezoid ABCD is 14 and this can be determined by using the properties of isosceles trapezoid.

Given :

ABCD is an isosceles trapezoid with legs AB and CD and base BC.If the length of AB is (7y - 4), the length of BC s (4y - 6) and the length of CD is (8y - 18).

The two legs are of equal length In any isosceles trapezoid that means:

7y - 4 = 8y - 18

Add 18 on both sides in the above equation.

7y - 4 + 18 = 8y - 18 + 18

7y + 14 = 8y

Now, subtract 7y on both sides in the above equation.

7y + 14 - 7y = 8y - 7y

Simplify the above expression in order to get the value of 'y'.

y = 14

For more information, refer to the link given below:

https://brainly.com/question/19273676

Which relationship describes angles 1 and 2?

Select each correct answer.

supplementary angles
complementary angles
vertical angles
adjacent angles

Answers

complimentary angles. when the two angles are added together they will equal 90°. anytime you see a square there in the corner of a triangle that means that corner (angle) is a 90° angle.

Evaluate the exponential expression. Write your answer as a fraction in simplest form.

(2^3)^-2

Answers

Hey there! :D

(2^3)^-2

Multiply the powers.

2^-6

Put the negative on the bottom.

1/2^6

1/64= the equivalent fraction

I hope this helps!
~kaikers

Write three functions.
In the first function, y should vary directly with x.
In the second function, y should vary inversely with x.
In the third function, the relationship between x and y should be neither inverse variation nor direct variation.

Describe the graph of each function and give a real-world example for each.

Answers

1) y = kx . . . . . for some constant k
.. The volume of an ideal gas is directly proportional to its absolute temperature.

2) y = k/x . . . . for some constant k
.. The volume of an ideal gas is inversely proportional to its pressure.

3) y = 1.8x +32
.. Temperatures in degrees Fahrenheit are linearly related to those in degrees Celsius, but the relation is neither directly nor inversely proprotional.

How many drivers who start driving before they are 20 are convicted of a traffic violation within the first year of driving?

Answers

Nearly half!

Hope this helped.

HELP ASAP!!!!!!!!!!!!!!!!!!!!
a. 49
b. 12
c. 7
d. 1

Answers

you could use the Pythagorean theorem which is a squared +b squared= c squared

you know a and c
a=24
c=25

24 squared + x squared = 25 squared
576+x squared =625
subtract 576 from both sides
x squared = 49
square root x and 49
x=7
C is the answer

determine if the number is written in scientific notation. if not explain 5.6 x 10^12

A. no its not written as a power of 10

B.no the first factor is not a number between 1 and 10

C. yes the number is written in scientific notation

Explain your answer please

Answers

The correct answer is C) yes, the answer is written in scientific notation.

Explanation:

In scientific notation, we have a decimal number multiplied by a power of 10. The decimal number has the decimal point behind the first non-zero digit, and the exponent on the power of 10 tells us how many places to move the decimal.

In this problem, we have 5.6, which has the decimal after the first non-zero digit. We also have 10¹², which tells us to move the decimal 12 places.

This is in scientific notation.

Answer:

C. Yes, the number is written in scientific notation.

Step-by-step explanation:

We have been given a number [tex]5.6\times 10^{12}[/tex]. We are asked to determine whether our given number is written in scientific notation or not.

We know that when a number greater than 1 and less than 10 is multiplied by a power of 10, then the number is written in scientific notation.

Upon looking at our given number we can see the number 5.6 is between 1 and 10. In addition, 5.6 is being multiplied by 10 to the power 12.

Therefore, our given number is written in scientific notation and option C is the correct choice..

BRAINLIEST!

A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below.

Answers

Answer:

D. The manager should check both relative frequencies by row and by column to look for an association.

Step-by-step explanation:

the correct answer would be D

If you answer (making sense) and explain (so I can understand) you will be awarded! Please help ASAPA

Answers

What you are doing is called cross multiplication. You have to multiply the top of the first fraction by the bottom of the second fraction. 1 x 378, which equals 378. Then you multiply the bottom of the first fraction by the top of the second fraction. 250 x X. 250x=378. You then have to solve for x or divide 378 by 250. The answer to 378 / 250 = 1.512. But the instructions want you to round to the nearest tenth and that is the first decimal place. Your answer is 1.5.

A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius of the cone?

Answers

Cylinder Volume = PI * radius^2 * height
Cylinder Volume = 3.14159 * 1 * 21
Cylinder Volume = 65.97 cc

Volume Cone = [PI * radius^2 * height] / 3
radius^2 = 3 * 65.97 / (3.14159 * 7)
radius^2 = 9
radius = 3 centimeters

The radius of the cone is 3 cm.

The radius of a cylinder is increased by a factor of 5. The height is not changed.

What is the effect of the increase on the volume of the cylinder?

A) The volume of the cylinder increases by a factor of 5.

B) The volume of the cylinder increases by a factor of 25.

C) The volume of the cylinder increases by a factor of 15.

D) The volume of the cylinder increases by a factor of 10.

Answers

Final answer:

When the radius of a cylinder is increased by a factor of 5, the volume of the cylinder increases by a factor of 25.

Explanation:

The volume of a cylinder can be calculated using the formula V = πr2h, where V is the volume, r is the radius, and h is the height. In this case, the radius of the cylinder is increased by a factor of 5, but the height remains the same. Let's consider the original radius as r and the increased radius as 5r. The volume of the original cylinder is πr2h, and the volume of the new cylinder is π(5r)2h.

Simplifying the expression for the volume of the new cylinder, we get V' = 25πr2h. Comparing the volume of the new cylinder to the volume of the original cylinder, we can see that the volume has increased by a factor of 25. Therefore, statement B is correct: The volume of the cylinder increases by a factor of 25.

Learn more about Volume of a cylinder here:

https://brainly.com/question/16788902

#SPJ12

The correct answer is B) The volume of the cylinder increases by a factor of [tex]25.[/tex]

Let's analyze the relationship between the volume of a cylinder and its dimensions.

The volume [tex]$ V $[/tex] of a cylinder is given by the formula:

[tex]\[ V = \pi r^2 h \][/tex]

where:

[tex]$ r $[/tex] is the radius of the cylinder,

[tex]$ h $[/tex] is the height of the cylinder.

Given that the height [tex]$ h $[/tex] remains unchanged, if the radius [tex]$ r $[/tex] is increased by a factor of [tex]5[/tex], the new radius [tex]$ r' $[/tex] becomes[tex]$ 5r $.[/tex]

Now, let's compare the volumes before and after the increase in radius:

1. Original Volume [tex]($ V_{\text{original}} $)[/tex]

[tex]\[ V_{\text{original}} = \pi r^2 h \][/tex]

2. New Volume [tex]($ V_{\text{new}} $)[/tex]

After increasing the radius by a factor of [tex]5[/tex], the new radius [tex]$ r' = 5r $[/tex].

[tex]\[ V_{\text{new}} = \pi (5r)^2 h = \pi (25r^2) h \][/tex]

Now, compare [tex]$ V_{\text{new}} $[/tex] with [tex]$ V_{\text{original}} $[/tex]

[tex]\[ \frac{V_{\text{new}}}{V_{\text{original}}} = \frac{\pi (25r^2) h}{\pi r^2 h} = \frac{25r^2 h}{r^2 h} = 25 \][/tex]

Find the function rule.

X: -2, -1, 0, 1, 2
Y: 9,4, -1, -6, -11

Answers

The function rule is y = -5x - 1 , obtained by observing the linear relationship where y decreases by 5 as x increases by 1.

To find the function rule that relates the values of x to y , let's first observe the pattern in the given data:

[tex]x & y \\-2 & 9 \\-1 & 4 \\0 & -1 \\1 & -6 \\2 & -11 \\[/tex]

Notice that as x increases by 1, y decreases by 5. This suggests a linear relationship between x and y , where the slope of the line is -5.

The general form of a linear function is ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.

To find the y-intercept, let's pick any point from the table, for example, when ( x = 0 ), ( y = -1 ).

So, we can plug the values of ( x ) and ( y ) into the linear function formula:

[tex]\[-1 = (-5)(0) + b\][/tex]

[tex]\[-1 = 0 + b\][/tex]

[tex]\[b = -1\][/tex]

Now we have the slope (( m = -5 )) and the y-intercept (( b = -1 )), so the function rule is:

[tex]\[ y = -5x - 1 \][/tex]

Now, let's verify this function rule with another point from the table, for example, when ( x = 2 ):

[tex]\[ y = -5(2) - 1 \][/tex]

[tex]\[ y = -10 - 1 \][/tex]

[tex]\[ y = -11 \][/tex]

This matches the value of ( y ) in the table, confirming that our function rule is correct.

Help please!
The length of a football field is 67 yards greater than the width the perimeter of the field is 346 yard. Find the length and width of the football field.

Answers

Hey. Let me help you on this one.

In order for us to solve this question, we will need to set up an equation with an unknown variable. We will then solve for it, thus receiving everything we need for the width and length of the football field. I will also be attaching an image with all the work shown, so make sure to take a look at it.

First of all, let's identify our total in the equation. In this case, if we add both length and width together, we will get one half of 346 - the perimeter due to the fact that perimeter calls for both widths, and both lengths of a rectangle.

Let's form the equation which we will then solve.

[tex]2[x+(x+67)]=346[/tex]

In this equation, x stands for the width. You can also see "x+67", which is the length of the rectangle. Both these values are added together, and multiplied by two. Let's start solving.

Let's simplify this equation.

[tex]4x+134=346[/tex]

As you can see, we have multiplied the sum of all these numbers by two. Now, let's get rid of 134 on both sides.

[tex]4x=212[/tex]

In that step, I have deducted 134 from both sides. Now, let's get rid of four on both sides by dividing it.

[tex]x=53[/tex]

Awesome! As we know, "x" is the width. Now, knowing the width, we can find the length simply by adding 67 to the variable x since length is 67 yards longer than the width.

[tex]53+67=120[/tex]

Great! Our answer is formed.

Answer: Length of the rectangle is 120 yards, and width of the rectangle is 53 yards.

Can you please check your question for grammatical errors and repost it? I cannot currently answer your question because it is unclear.

Which of these numbers is an irrational number? of these numbers is an irrational number? 3⁄5, Square root of 4, Square root of 25, Square root of 20, 5/3

Answers

square root of (20) Square roots are, for the most part, irrational. Not all of them, but most.

Which of the following is a cubic binomial
A.w^3-6w^2+9
B.7a^3+4a^-2
C.-y^3+3y^5
D.x^2-2x^3

Answers

the answer is B.
this is because it has two terms, and the first term has a power of 3

45% of 40 is 18% of what number?

Answers

Answer:

45% of 40 is 18% of 100

Step-by-step explanation:

45% of 40 is 18% of what number

First we find out what is 45% of number 40

45% times 40

[tex]\frac{45}{100} * 40= 18[/tex]

Now we find

18 = 18% of what number

Let the unknown number be x

18 = 18% * x

[tex]18= \frac{18}{100} * x[/tex]

18 = 0.18 * x

Divide by 0.18 on both sides

100= x

So 45% of 40 is 18% of 100

The complete statement is 45% of 40 is 18% of 100

How to determine the number that completes the statement

From the question, we have the following parameters that can be used in our computation:

45% of 40 is 18% of what number

Represent the number with x

So, we have

45% of 40 is 18% of x

Express as an equation

45% of 40 = 18% of x

Next, we have

18 = 0.18x

Divide through by 0.18

x = 100

Hence, 45% of 40 is 18% of 100

Answers

A polynomial with real coefficients has either real zeros or conjugate pairs of complex zeros. A degree-3 polynomial will have 3 zeros. The one not listed is the conjugate of the complex zero listed.

The remaining zero of f(x) is -3+i.

Other Questions

Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1, 4), R(-2, -4) and S(2, -4) under the translation (x,y)---> (x-5,y+3) ("that is an arrow btw not a less than sign or equal to sign").a.P(-4, 7), Q(-6, 7) , R(-7, -1) and S(-3, -1)b.P(6, 7), Q(4, 7) , R(3, -1) and S(7, -1)c.P(-4, 1), Q(-6, 1) , R(-7, -7) and S(-3, -7)d.P(6, 1), Q(4, 1) , R(3, -7) and S(7, -7) Select all that apply. Listening attentively requires: _____.1.eliminating distractions2.being comfortable but not too comfortable3.agreeing with what the speaker is saying4.thinking about or planning what you are going to say as a response5.thinking about family problems5.thinking about exciting plans The principle of checks and balances in the U.S. government is reflected in the A. appointment of cabinet-level officers by the legislative branch. B. creation of separate state and federal court systems. C. election of Supreme Court justices. D. ability of Congress to override a presidential veto. Consider a ball rolling down the decreasing slope inside a semicircular bowl (the slope is steep at the top rim, gets less steep toward the bottom, and is zero (no slope) at the bottom). As the ball rolls from the rim downward toward the bottom, its rate of gaining speed How would you explain the interdependence of present-day nations on each other for trade and commerce? What is the area of the object Below? A. 158 sq cm B. 102 sq cm C. 94 sq cm D. 142 sq cm grovernment began to sat aside land called for american indian groups p A cover letter accompanies a rsum to showcase a job-seeker's personal life.TrueFalse Which trigonometric ratios are correct for triangle DEF? Check all that apply.sin(D) = 24/25cos(E) = 7/25tan(D) = 24/7sin(E) = 7/25tan(D) = 7/24 During the 1980s, Iran and Iraq _____. Which style of leadership would be most helpful to Charles in the following situation? Charles has just started an internship at NASA. Although he has almost completed his degree in aerospace engineering, he has no work experience in the field and feels somewhat lost in such a large organization. Etta Jones's W-2 form is shown below. How much did Etta have withheld from her yearly pay for Medicare? A. $4465.71 B. $2018.40 C. $472.04 D. $32,554.76 What false premise does Swift rely on to build his argument in this passage? There are many impoverished children in Ireland. The wealthy will be willing to buy and consume children. Children will be cheap enough for people to buy. Women should have more children in order to build Irelands workforce. Rachel pays $131.44 for a desk, including tax. The task is 31 cents less than 1*16 the desks price. What is the price for the desk before adding the tax? What properties of titanium make it attractive for use in race-car and jet-engine components? A group of engineers run a trial test on a space probe built for measuring the surface temperature of the sun. After the trial, the engineers realize that the probe melted and failed to collect the needed data. What should the engineers do next? a 50kg box is being pushed along a horizontal surface. the coefficient of kinetic friction between the box and the ground is 0.35.what horizontal force must be exerted on the box for it to accelerate at 1.20m/s^2 Yo juego tenis en la______ de tenis. (1 point) ________ barriers to physical activity include both external/physical factors and social/interpersonal factors that may make it harder or easier for you to exercise.a.physiologicalb.psychologicalc.environmentald.personal [tex]3(6 - 4y) - 2y > 5y - 153[/tex]