Mathematics High School

(08.05 HC) The work of a student to solve a set of equations is shown: Equation A: y = 15 − 2z Equation B: 3y = 3 − 4z Step 1: −3(y) = −3(15 − 2z) [Equation A is multiplied by −3.] 3y = 3 − 4z [Equation B] Step 2: −3y = 15 − 2z [Equation A in Step 1 is simplified.] 3y = 3 − 4z [Equation B] Step 3: 0 = 18 − 6z [Equations in Step 2 are added.] Step 4: 6z = 18 Step 5: z = 3 In which step did the student first make an error?

Answers

Answer 1

The error appears to be in Step 2.

Simplifying
-3(y) = -3(15 -2z)
should yield
-3y = -45 +6z
not
-3y = 15 -2z

Answer 2

Answer:

STEP 2

Step-by-step explanation:Simplifying

-3(y) = -3(15 -2z)

should yield

-3y = -45 +6z

Related Questions

What is the slope of a line that is parallel to the line y = x + 2?

Answers

y = mx +c

y = x + 2
⇒ slope = 1
⇒Slope of the parallel line = 1

Answer: 1

Answer:

I’m going to assume you didn’t put the 3/4x in your equation, if you had, the answer would’ve been 3/4.

Step-by-step explanation:

REMEMBER

If the equation is parallel, it will have the same slope as the other equation parallel to it.

The difference of a number and 8 is the same as 34 less the number. find the number.

Answers

The difference of a number and 8 is (n-8).
34 less the number is 34-n.

n-8=34-n
2n=34+8
2n=42
n=21

Final answer:

The question is a simple algebra problem. By setting up and solving the equation 'x - 8 = 34 - x', we find that the number is 21.

Explanation:

The subject of this question is algebra, and involves setting up and solving an equation. Let's denote the unknown number as 'x'. Following the question, we can set up the equation as 'x - 8 = 34 - x'.

To solve the equation, let's add 'x' to both sides to get 2x - 8 = 34. Then, add 8 to both sides to get 2x = 42. Finally, divide each side by 2, so that 'x = 21'.

So, the number that satisfies the equation is 21.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ3

Tom ordered a jacket at $70, a shirt at $30, and slacks at $38. If sales tax is 6% and the shipping and handling is $10.75, what is the total amount of his order?

Question options:

$157.03

$146.28

$87.03

$55.95

Randy ordered 3 T-shirts for $25.67 each and one skirt for $23.55 and an 8% tax. What is the total cost of the order?

Question options:

$108.60

$77.01

$66.03

$100.56

Answers

For question 1, We need to calculate the total, find the tax, then add the shipping cost to the total. (70+30+38=138) now we find the tax (138*0.06=8.28) Now we add the tax and cost together and then the shipping and handling and we have our answer (138+8.28+10.75=157.03) So your answer is A.

For question 2, We need to calculate the total and then find the tax. So, we do this: 25.67*3=77.01. Then we add the skirt to the total (77.01+23.55=100.56). Finally, we calculate the tax cost (100.56*0.08=8.0448). So our total is (100.56+8.0448=108.6048) So the answer is A.

The total amount of his order is $157.03.

The total amount of the order is the sum of the items bought, the tax paid an the cost of shipping and handling .

Total cost of the order = cost of the items bought + tax paid + shipping and handling

Total cost of the items bought = cost of jacket + slacks + shirt

$70 + $30 + $38 = $138

Tax paid = 6% x $138 = $8.28

Shipping and handling = $10.75

Total cost = $138 + $8.28 + $10.75 = $157.03

To learn more about taxes, please check: https://brainly.com/question/19540033

What is the axis of symmetry for f(x)=2x2+8x+8

Answers

2x^2 + 8x + 8
= 2(x^2 + 4x) + 8
= 2 [ (x + 2)^2 - 4) + 8

axis of symmetry is x = -2 ( because of the (x + 2)^2 )

Answer: The axis of symmetry for the function f(x) is x = -2.

Step-by-step explanation: We are given to find the axis of symmetry for the following function :

[tex]f(x)=2x^2+8x+8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We know that

for a function g(x) with the form [tex]g(x)=a(x-h)^2+k,[/tex] the axis of symmetry is given by the following equation :

[tex]x-h=0~~~~\Rightarrow x=h.[/tex]

Now, from equation (i), we have

[tex]f(x)=2x^2+8x+8\\\\\Rightarrow f(x)=2(x^2+4x+4)\\\\\Rightarrow f(x)=2(x+2)^2+0.[/tex]

Therefore, the required axis of symmetry is given by

[tex]x+2=0\\\\\Rightarrow x=-2.[/tex]

Thus, the axis of symmetry for the function f(x) is x = -2.

find the solution of this system of equations
-6x-2y=8
7x-2y=-5

Answers

Photo math said that the answer is (x, y)= (-1, -1)

What is the range of the function y= cot(x)?

A. all real numbers

B. all real numbers except pi/2 + n(pi), where n is any integer

C. all real numbers except n(pi)/2, where n is any integer

D. all real numbers except n(pi), where n is any integer

Answers

i believe its A, just all real numbers

Answer:

all real numbers

Step-by-step explanation:

Given : y = cot(x)

To Find: Range.

Solution:

Refer the attached graph.

The domain of the function [tex]y=cot(x)=\frac{cos(x)}{sin(x)}[/tex] is all real numbers except the values where sin(x) is equal to 0 , that is, the values πn for all integers n .

The range of the function is all real numbers.

Referring the graph we can say that the range of the given function y = cot(x) is all real numbers .

Hence Option A is correct.

A single 6-sided dice is being rolled. What is the probability of rolling a 5 or an odd number?

Answers

S = sample space
S = set of all possible outcomes
S = {1,2,3,4,5,6}

E = event space
E = set of items we want to happen (rolling a 5, or rolling an odd number)
E = {1, 3, 5}
note: the event of "rolling a 5" is a subset of "rolling an odd number" because 5 is odd

n(S) = number of items in the sample space
n(S) = 6

n(E) = number of items in event space
n(E) = 3

Divide the values to get the probability
P(E) = n(E)/n(S)
P(E) = 3/6
P(E) = 1/2
P(E) = 0.50
P(E) = 50%

The answer in fraction form is 1/2
The answer in decimal form is 0.50
The answer as a percentage is 50%
These three values all represent the same idea, just written in different forms.

note: writing "P(E)" means "the probability of event E occurring", which I've defined as the event space above

A person who is 55 feet tall is standing 168168 feet from the base of a tree, and the tree casts a 180180 foot shadow. the person's shadow is 1212 feet in length. what is the height of the tree?

Answers

121255 ft tall right

Megan uses a credit card with a 24.9% APR compounded monthly to pay for car repairs totaling $583.75. She can pay $240 per month on the card. What will the total cost of this purchase be

Answers

It is convenient to use a spreadsheet to compute the finance charge and the new balance each month. The graphic here shows the beginning balance and finance charge for each of the 3 months it will take Megan to pay off the purchase.

Her total expense is $605.80.

the correct answer is $605.80

Find the equation of the straight line passing through the point (0, 2) which is perpendicular to the line

y = 1/4x + 5

Answers

General Equation of a linear line : y = mx + b

Find the slope:
y = 1/4 x + 5
Slope = 1/4
Slope of perpendicular line = -4

Substitute m = -4 into the equation:
⇒ y = -4x + b

Find y-intercept:
At point (0, 2) ⇒ y-intercept = 2

Substitute b = 2 into the equation
y = -4x + 2

Answer: y = 4x + 2

Answer:

y=-4x+2

Step-by-step explanation:

The line passes through (0,2), so chuck these numbers in and you get a value of 2 for c. If you're sharp, you might spot that this point is the y-intercept of the line since the x- coordinate is 0, this point is on the Y-axis, and you don't even have to throw numbers in.

Therefore the equation of the line is:

y = -4x + 2

Hope that was clear!

If 75% of the students in Toby’s grade voted, how many students are in Toby’s grade?

Answers

Answer:

The total number of students in Toby's grade is 200.

Answer:number of students who voted= 75%= 150

75% of total number of students= 150

The total number of students in Toby's grade is 200.

Step-by-step explanation:

(Financial Algebra workbook 10-3)

Under his "Household expenses" Budget category, Mark has allocated $60 per month for pet food. He can purchase "wet food" for $1.50 per can or "dry food" for $3 per bag.

D.) Name a combination of bags and cabs that will allow him to meet his budget exactly.

Answers

A possible answer to this question is 10 cans of "wet food" and 15 bags of "dry food". 10 cans of wet food make $1.50 * 10 = $15 and 15 bags of dry food make $3.00 * 15 = $45. $45 + $15 = $60.
We can find answers by creating this equation.
$1.50c + $3.00b = $60
where c and b represent the number of "wet food" cans and "dry food" bags, respectively. We can easily substitute numbers and solve for the other quantity that will satisfy the condition of total cost adding up to $60.

Final answer:

The question asked for a combination of wet and dry pet food that meets a monthly budget of $60. One such combination would be buying 10 bags of dry food and 20 cans of wet food, as 3(10) + 1.5(20) equals $60, which fits the budget exactly. There are also other combinations that can fulfill the budget constraint.

Explanation:

The student asked for a combination of bags and cans of pet food that would allow Mark to meet his monthly budget of $60 exactly. With wet food costing $1.50 per can and dry food costing $3.00 per bag, we can create a simple algebraic equation to find multiple combinations. Let's let x represent the number of bags and y represent the number of cans. The equation can be written as 3x + 1.5y = 60.

To find a combination that fits exactly into Mark's budget, consider the following example:

If Mark buys 10 bags of dry food, that would cost 10 × $3 = $30. He would then have $30 left of his budget. At $1.50 per can, he could buy 20 cans of wet food (because 20 × $1.50 = $30). Thus, one possible combination would be 10 bags and 20 cans. The equation for this would be 3(10) + 1.5(20) = 30 + 30 = 60, which satisfies Mark's budget constraint.

It's important to note that there are other combinations that would also meet Mark's budget exactly. The student could experiment with different numbers of bags (x) and cans (y) to find additional combinations. The key is that the total cost must not exceed $60.

What is the value of x in the equation x + 10 = 13?

Answers

The answer is x=3 Your Welcome!

that is a really hard question, maybe 3? Cx

Which applies the power of a product rule to simplify (5t)^3?

Answers

[tex](5t)^3 = 125t^3[/tex]

Answer:

[tex]125t^{3}[/tex]

Step-by-step explanation:

The power product is given by the following formula:

[tex](ab)^{x} = a^{x}*b^{x}[/tex]

In this case, this gives us:

[tex](5t)^{3} = (5)^{3} * t^{3}[/tex]

= [tex]125*t^{3}[/tex]

= [tex]125t^{3}[/tex]

Suppose a triangle has 3,4, and 5 sides.Which of the following must be true

Answers

Answer:

A. The triangle in question is a right triangle

Step-by-step explanation:

what crime is illigal but you cant get arrested for

Answers

a crime u can get arrested for is assault

If you break any law/crime you will most likely get arrested for it!

The scatterplot shows the depth of water in swimming pools, y, based on the days after filling, x. graph What can you conclude from the graph? Check all that apply. The depth of the water in the swimming pool decreases over time. The data are clustered. There are no outliers in the data. In general, increased time does not affect the depth of the water in the swimming pool.

Answers

1) The data is clustered

2) Increased time does not affect the depth of the water.

A scatterplot is a kind of graph in which each point on the graph represents an observation and values for two variables are shown using Cartesian coordinates. Generally, the dependent variable is represented by the y-axis, and the independent variable by the x-axis. Relationships, trends, patterns, and outliers between the variables can be found using scatterplots.

They can demonstrate, for instance, if a correlation is positive, negative, or absent. One can draw conclusions about the potential relationship between the two variables by looking at the point distribution.

Answer:

1) The depth of the water in the swimming pool decreases over time.

2)The data are clustered.

3)There are no outliers in the data.

Step-by-step explanation:

f(x)=3 cos (2x-pi) -1
HELP PLS!!

Answers

I am confused on the terminology, but I do know that f(x) is the function graphed on the graph.
I sadly do not know what they mean by " smallest rate of change.

What is the answer? Please help.

Answers

The answer is: " x = 5, and -1 " .
_______________________________________________

Explanation:
_______________________________________________
Given:
_______________________________________________

(x − 2) = √(2x + 1) ;

→ "Square" each side of the equation; that is, raised EACH SIDE of the equation to the power of "2" ; to get rid of the "radical" ; as follows:
_______________________________________________

[(x - 2)]² = [ √(2x + 1) ] ² ;

to get:

→ (x - 2)² = (2x - 1) ;

Expand the " (x - 2)² " ;

→ (x - 2)(x -2) = ?

NOTE: (a + b)(c + d) = ac + ad + bd .

→ = (x * x) + (x * -2) + (-2 * x) + (-2 * -2) ;

= (x²) + (-2x) + (-2x) + (4) ;

= x² − 2x − 2x + 4 ;

= x² − 4x + 4 ;
______________________________________________
Now, rewrite the entire question:

→ (x − 2)² = (2x − 1) ;

→ as follows:
______________________________________________

→ " x² − 4x + 4 = 2x − 1 " ;

Now, subtract "2x" from each side of the equation;
& add "1" to each side of the equation:

→ " x² − 4x + 4 − 2x + 1 = 2x − 1 − 2x + 1 " ;

to get:

→ " x² − 6x + 5 = 0 " ; Solve for "x" ;

Let us if : " x² − 6x + 5 " can be factors:
_____________________________________
What factors of "positive 5" ; add up to "-6" ;

-5 ,-1 ; → -5 + (-1) = - 6; YES.

5, 1 ; → 5 + 1 = 6 ; NO.

_____________________________________

So, we have: " (x − 5) (x − 1) = 0 " .

x = 5, and -1 .
_________________________________________

What is the positive solution of x2 – 36 = 5x?

Answers

Answer:

The positive solution is x=9

Step-by-step explanation:

Given the equation

[tex]x^2-36=5x[/tex]

we have to find the positive solution of above equation.

[tex]Equation: x^2-5x-36=0[/tex]

By splitting middle-term method

[tex]x^2-5x-36=0[/tex]

[tex]x^2-9x+4x-36=0[/tex]

[tex]x(x-9)+4(x-9)=0[/tex]

[tex](x+4)(x-9)=0[/tex]

[tex]x+4=0, x-9=0[/tex]

The solution is x=-4 and x=9

Hence, the positive solution is x=9

The data shows the number of grams of fat found in 9 different health bars.12, 14, 16, 16.5, 11, 18, 18, 14, 20 What is the IQR (interquartile range) for the data?
9
5
16
18

Answers

The interquartile range (IQR) for the given health bar fat content data set is 5 grams, calculated by subtracting the first quartile (13) from the third quartile (18).

To calculate the interquartile range (IQR) of the given health bar data set, first, we must organize the numbers in ascending order: 11, 12, 14, 14, 16, 16.5, 18, 18, 20. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).

Find the median (the middle value) of the dataset, which will also serve as the second quartile (Q2). The median of the dataset here is 16.

To find Q1, calculate the median of the lower half of the data (not including the median of the dataset if your dataset has an odd number of values). So the lower half of the data is 11, 12, 14, 14, and the median of this is 13.

To find Q3, calculate the median of the upper half of the data. The upper half following our median is 16.5, 18, 18, 20, with a median value of 18.

The IQR is Q3 - Q1, which is 18 - 13 = 5.

Thus, the IQR for the health bars' fat content data is 5 grams.

The area of a rectangular television screen is 3456 in^2. The width of that screen is 24 inches longer than the length. What is a quadratic equation the represents the area of the screen? What are the dimensions of the screen?

Answers

x ( x + 24) = 3456

x^2 + 24x - 3456 = 0 is the equation you require

(x - 48(x + 72) = 0

x = 48

Dimensions are width 48 and length 72 in

If the selling price is $18 and the markup is 33% what is the dollar market

Answers

that cost will be $23.94 in the dollar market

HELPP ILL GIVE MAD POINT PLEASE

Answers

since it is looking for the sum
at S3, replace n with 3 , 2, and 1 , solve the equation and add all of answers together
when s = 3 the equation becomes 5(1/3)^3-1
5(1/3)^2 = 5/9

when s = 2 the equation becomes 5(1/3)^2-1
5(1/3)^1 = 5/3

when s = 1 the equation becomes 5(1/3)^1-1
5(1/3)^0 = 5

5/9 + 5/3 + 5 = 65/9

the answer is the 3rd choice

Simplify the expression, leave your answer in exponential form :

Can you show the steps!??

Answers

[tex]\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------\\\\ \left( \cfrac{16y^0z^{-8}}{x^{\frac{1}{2}}} \right)^{-\frac{3}{4}}\implies \left( \cfrac{x^{\frac{1}{2}}}{16y^0z^{-8}} \right)^{\frac{3}{4}}\implies \left( \cfrac{x^{\frac{1}{2}}}{16(1)z^{-8}} \right)^{\frac{3}{4}}[/tex]

[tex]\bf \left( \cfrac{x^{\frac{1}{2}}}{16z^{-8}} \right)^{\frac{3}{4}}\implies \left( \cfrac{x^{\frac{1}{2}\cdot \frac{3}{4}}}{16^{\frac{3}{4}}z^{-8\cdot \frac{3}{4}}} \right)\implies \left( \cfrac{x^{\frac{3}{8}}}{(2^4)^{\frac{3}{4}}z^{-6}} \right) \\\\\\ \left( \cfrac{x^{\frac{3}{8}}}{2^{4\cdot \frac{3}{4}}z^{-6}} \right)\implies \left( \cfrac{x^{\frac{3}{8}}}{2^3z^{-6}} \right)\implies \cfrac{x^{\frac{3}{8}}z^6}{8}[/tex]

A basket contains the following pieces of fruit: 3 apples, 2 oranges, 2 bananas, 2 pears, and 5 peaches. Jack picks a fruit at random and does not replace it. Then Bethany picks a fruit at random. What is the probability that Jack gets a peach and Bethany gets an orange?

Answers

Hello!

You have to find the probabilities of them happening separately

To do this you do the amount of favorable outcomes over the total amount of outcomes

3 + 2 + 2 + 2 + 5 = 14 total fruit

The chance of Jack getting a peach is 5 / 14

The chance of Bethany getting an orange is 2 / 13 because Jack did not put the fruit back in so their is one less to choose from

You multiply the two probabilities to find the probability of them happening in a row

5/14 * 2/13 = 5/91

The answer is 5/91

Hope this helps!

5/14 × 2/13 = 10/182

simplify by 2

10/182 ÷ 2/2

5/91

5 over 91

If Tom, George and Mario work together, they can paint a 600 ft2 room in 4 hours. When only George and Mario work together, it takes 8 hours to paint the room. Tom and George, working together, take 6 hours to paint the room. How long would it take Tom to paint the room alone? Hint: Write the system of equations shown below in augmented form, then solve the system for T (Tom's painting rate). Next, use the equation Painted Area = Painting Rate× Time and solve for Time to determine how long it would take Tom to paint the room alone.

4(T+G+M)=600
8(0+G+M)=600
6T+G+0)=600

Answers

We call:

T = Tom's paiting rate [tex]( \frac{ ft^{2} }{h} )[/tex]
G = George's paiting rate [tex]( \frac{ ft^{2} }{h} )[/tex]
M = Mario's paiting rate [tex]( \frac{ ft^{2} }{h} )[/tex]

As the first statement says that they can work together, then:

T + G + M = Painting rate working together, that is the surface area they paint per hour.

Since the problem says that they last four hours painting a [tex] 600ft^{2} [/tex] room, then we need to multiply the amount of hours times the painting rate that is equal the surface area of the room, so:

4(T + G + M) = 600

Applying a similar reasoning, the George and Mario's painting rate is:

0 + G + M
Note that 0 implies that Tom didn't work in this case.

As they last eight hours painting the room, then:

8(0 + G + M) = 600

The same reasoning is applied to Tom and George working together. In this case 0 implies that Mario didn't work, so:

6(T + G + 0) = 600

We have a system of linear equations in three variables T, G, M:

4(T+G+M)=600
8(0+G+M)=600
6(T+G+0)=600

Solving:

(1) T + G + M = 150
(2) G + M = 75
(3) T + G = 100

Substitute (3) in (1):
100 + M = 150 ∴ M = 50

Replace M in (2):
G + 50 = 75 ∴ G = 25

Substitute G in (3)
T + 25 = 100 ∴ T = 75

Then, the painting rates are:
Tom = 75 [tex]( \frac{ ft^{2} }{h} )[/tex]
George = 25 [tex]( \frac{ ft^{2} }{h} )[/tex]
Mario = 50 [tex]( \frac{ ft^{2} }{h} )[/tex]

Solving for Time to determine how long it would take Tom to paint the room alone:

Painted Area = Painting Rate×Time, so:

[tex]Time Tom = \frac{Painted Area}{Painting Rate (T)} [/tex]
[tex]Time Tom = \frac{600}{75} = 8 hours [/tex]

Answer:

A. 8 hours

Step-by-step explanation:

Which of the following have the same value as the fraction below?

8/5 A.

Check all that apply.

A. 2.20
B. 220%
C. 1.60
D. 160%

Answers

The answers are both C. 1.60 and D. 160%

C. And D. I thing this is correct

You fly a hot air balloon 1.5 miles above the ground. What is the measure of BD⌢, the portion of Earth that you can see? Round your answer to the nearest tenth. (Earth's radius is approximately 4000 miles.)

Answers

Answer:

3.1

Step-by-step explanation:

If you are doing this for big ideas, the answer ended up being 3.1

I'm sorry if you wanted the work, I found the answer from something else that didn't show the work but this was the correct answer...

Final answer:

To find the measure of BD⌓, the visible portion of Earth's surface from a hot air balloon 1.5 miles above the ground, convert the height to kilometers and use the formula D = 112.88 km × √h to get the distance to the horizon, which is about 175.4 km. Then, calculate the semicircular distance visible by using C/2 = (π × D) / 2, which results in approximately 276.1 km for the measure of BD⌓.

Explanation:

To calculate the measure of BD⌓, the portion of Earth's surface that is visible from a hot air balloon 1.5 miles above the ground, you can use the formula for the distance to the horizon, given as D = 112.88 km × √h, where h is the height above the Earth's surface. In this case, we must convert the height of 1.5 miles to kilometers before applying the formula, as the formula uses kilometers.

The conversion from miles to kilometers is 1 mile = 1.60934 kilometers, so 1.5 miles is approximately 2.414 km.

Inserting h = 2.414 km into the formula, we get:

D = 112.88 km × √2.414

D = 112.88 km × 1.5535 (approx)

D ≈ 175.4 km (rounded to the nearest tenth)

This is the straight-line distance to the horizon. To find the measure of the arc BD, which is the portion of the Earth's surface visible, we can treat this distance as the radius of a circle and calculate the circumference. However, since we are only looking at the visible part, which is a semicircle, we use half of the circumference C = π × D.

The measure of BD⌓ is therefore approximately:

C/2 = (π × 175.4 km) / 2

C/2 ≈ 276.1 km

Thus, the measure of BD⌓ to the nearest tenth is 276.1 km.

A painter is placing a ladder to reach the third story window, which is 12 feet above the ground and makes an angle of 80 degrees.how far out from the building does the base of the ladder need to be positioned

Answers

we know that
tan ∅=opposite side angle ∅/adjacent side angle ∅
adjacent side angle ∅=opposite side angle/tan ∅

in this problem
see the attached figure to better understand the problem
angle ∅=80°
opposite side angle ∅=12 ft (AB)
adjacent side angle ∅=? (AC)
adjacent side angle ∅=12/tan 80°------> 2.12 ft

the answer is
2.12 ft

Other Questions

Read the following paragraph. What best describes the author's point of view regarding the American colonies? The British crown and Parliament have oppressed the American colonists for too long. It is time for we Americans to rise up and take back our freedom. Freedom from unfair taxes under the guise that the money is being raised only for our own protection. Freedom from laws that stifle our economic independence. How dare Parliament enact laws and impose taxes on us when we have no say in making those laws and taxes. I say it's time to break the chains of British government. It is time to form our own government. A.The American colonies should have no connection to the British. B.The American colonies already have a superior government to the British. C.The American colonies should never have to pay taxes. D.The American colonies have the right to separate from Great Britain. President James Polks popular Fifty-Four Forty or Fight! campaign slogan was in reference to the acquisition The main organ of the respiratory system For the function f(x) = x2, what effect will multiplying f(x) by 1/2 have on the graph? Conrad and jill have a taxable income of 63,670. they discovered that they are able to receive $1,500 tax credit for purchasing an energy efficient furnace. How will this tax credit affect their taxes?A) the tax credit will increase their taxable income by $1,500B) the tax credit will reduce their taxable income by $1,500C) the tax credit is added to the tax owed, not the taxable incomeD) the tax credit is subtracted from the tax owed, not taxable income use the integer values of x from -3 to 13 to graph the equation y= -x What is the radius of convergence of the maclaurin series (2x)/(1+x^2)? 1. (10 pt) How are elements arranged in the Periodic Table? A. by their properties B. alphabetically C. by how much they are worth D. in the order they were discovered 2. (10 pt) Which is the correct symbol for the element silicon? A. SI B. S C. Si D. Sil 3. (10 pt) All atoms of an element are ________ . A. flammable B. visible under a microscope C. alike D. different 4. (10 pt) Elements that are usually shiny and good conductors of heat and electricity are known as ________________. A. gases B. metals C. solids D. nonmetals 5. (10 pt) The most recent model of an atom is the _______________. A. Bohr model B. Einstein model C. Nucleus model D. Electron Cloud model 6. (10 pt) Elements that are usually dull, brittle, and do not conduct electricity are known as A. gases B. metals C. solids D. nonmetals 7. (10 pt) Elements join together to form A. compounds B. ions C. protons D. atomic masses 8. (10 pt) Which picture best shows an atom? A. B. C. D. 9. (10 pt) In order for a chemical reaction to take place, a certain amount of _______________ must be present. A. heat B. friction C. chemicals D. energy 10. (10 pt) Enzymes are ____________ in the body that speed up chemical reactions. A. catalysts B. cells C. concentrations D. chloroplasts (a) an electron has kinetic energy 5.00 ev. find its wavelength. Which factors are used to discern between different types of mass movement? Research study 10.1 dr. lonsbary is a cognitive psychologist who is curious about how mood affects memory. she recruited 60 high school students and divided them into three groups. group a listened to a five-minute piece of music intended to make them feel happy (a song titled "don't worry, be happy"). group b listened to a five-minute piece of music intended to make them feel sad (a song titled "alone again"). group c listened to no music and instead was asked to sit quietly for five minutes (thought to make them feel neutral). when a participant would come to her laboratory, dr. lonsbary would greet the participant and then ask him or her to draw a card. participants who drew a 1, 2, or 3 were assigned to groupa. participants who drew a 4, 5, or 6, were assigned to groupb. participants who drew a 7, 8, or 9, were assigned to groupc. the participants were then given an unlabeled cd to listen to based on their group assignment. the cd contained either the song sele people who experince episodes of are not eating out of hunger;they are acting out behaviors associated with bulimia and depression A. (-3,-5)B.( -2,-2)C. (4,9)D.(13,5) Anyone know this geometry question? Will give brainiest Read the following unpunctuated lines from The Courage that My Mother Had" by Edna St. Vincent Millay and answer the question.The golden brooch my mother woreShe left behind for me to wearI have no thing I treasure moreWhich of the following correctly shows the underlined subject(s) and verb(s) and correctly punctuates the independent clauses?The golden brooch my mother woreShe left behind; for me to wear I have no thing I treasure more.The golden brooch my mother woreShe left behind for me to wear; I have no thing I treasure more.The golden brooch my mother wore; She left behind for me to wear. I have no thing I treasure more.The golden brooch my mother woreShe left behind for me to wear; I have no thing; I treasure more. It swore every boy to stick to the band, and never tell any of the secrets; and if anybody done anything to any boy in the band, whichever boy was ordered to kill that person and his family must do it, and he mustn't eat and he mustn't sleep till he had killed them and hacked a cross in their breasts Write the function associated with the graph below George gershwin usually collaborated with the lyricist ______. A company says that the probability of finding an all-star card in a game pack is 12.5%. A student wants to determine the probability that, if he buys 6 game packs, 2 or more will have an all-star card. To do this, he uses a random number table to pick 6 numbers from 1 to 8. He lets 1 represent a pack with an all-star card and 2 through 8 represent a pack without an all-star card. He repeats this for a total of 15 trials. The results are shown in the table. 561673366468314255361362838443 126285257231768551652585468113 123711322764487626783134384664 Select from the drop-down menus to correctly complete each statement. To estimate the probability that 2 or more out of 6 packs will have an all-star card, the student must count the number of trials with BOX RIGHT HERE and divide by the number of trials. This gives an estimated probability of about . BOX RIGHT HEREPLEASE I NEED THIS ANSWERED I HOPE ITS CLEAR ENOUGH. Help please! Dont understand!