Can someone help me with this

Can Someone Help Me With This

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Apply rule : [tex]-(-a)=+a[/tex]

Negative times negative is positive.

The expression turns into a sum of fractions.


Related Questions

What is the slope of the line joining (8, 8) and (12, 6)? −2 negative one over two start fraction one over four end fraction start fraction one over two end fraction

Answers

Answer:

-1/2

Step-by-step explanation:

slope is  [tex]\frac{y_{2}- y_{1}}{x_{2}-x_{1}}[/tex]

so:

[tex]\frac{6-8}{12-8} = -\frac{2}{4} = -\frac{1}{2}[/tex]

Find the mean of the following data set. 42, 45, 58, 63 1. 42 2. 47 3. 52

Answers

Answer:

52

Step-by-step explanation:

42, 45, 58, 63

The mean is the sum divided by the number of terms

(42+ 45+ 58+ 63)/4

208/4

52

Answer:

Step-by-step explanation:

42 + 45 + 58 +631 + 422 + 473 + 52 = 1723

then divide by 7 to get 246.142857

hope this helps :)

Help please! Thanks!!

Answers

Answer: None of them

I think your teacher made a typo. See explanation below for details

=================================================

Explanation:

With math problems like this one, it is often very tricky to find integer solutions. Luckily, we're given a list of choices. Let's plug them in one at a time and see what happens.

If y = 5, then

y^2 - 7x^2 = 11

5^2 - 7x^2 = 11

25 - 7x^2 = 11

-7x^2 = 11-25

-7x^2 = -14

x^2 = -14/(-7)

x^2 = 2

But x^2 = 2 does not have any integer solutions. The two solutions are irrational. So we can rule out choice F.

Repeat for y = 4 and you should find that x^2 = 5/7, which also does not have any integer solutions. Choice G can be ruled out.

Choices H through K are even worse. Not only are there no integer solutions, but there aren't any real number solutions either (there are complex or imaginary solutions though). Plugging in y = 3 leads to x^2 = -2/7 which has imaginary solutions due to applying the square root to a negative radicand. Similar situations happen with J and K as well.

In summary, none of these answer choices are valid. We need to have two integers x and y that satisfy the equation. I think your teacher made a typo somewhere.

A new E music service offers downloadable songs by subscription $15 per month plus one for each downloaded song how much will it cost to download X songs in a month

Answers

Answer:

$15+x

x in dollars

Step-by-step explanation:

Subscription per month=$15

Cost of each downloaded song per month=$15 + 1

If x number of songs are downloaded in a month

The cost of downloading x songs= $15 + x

Where,

$15 = fixed cost ( subscription)

x= variable cost( each unit of songs downloaded)

If 20 songs are downloaded in a month.

The cost of downloading the 20 songs

=$15+$20

=$35

What is the value of log0.5^16

Answers

Answer:

-4.81647993062

Step-by-step explanation:

Look at the image below ↓

Based on the mathematical analysis, the value of log 0.5^16 is -4.816.

What are Logarithms?

A logarithm is a mathematical term that is used to describe the exponent or power to which a base must be raised to yield a given number.

In this case, to calculate the value of log0.5^16 use logarithm properties.

rewrite the expression as log(0.5)^(16).

=> log(a^b) = b * log(a)

=> 16 * log(0.5).

Given that the Logarithm is the inverse of exponentiation => log(0.5) is equal to -0.301.

Substitute this value back into the expression:

16 * (-0.301) = -4.816.

Hence, in this case, it is concluded that the correct answer to the value of log 0.5^16 is -4.816.

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Simplify the expression (3-4i)(1+5i)-(2-i). Please show your work

Answers

Answer:

21 + 12i

Step-by-step explanation:

Given

(3 - 4i)(1 + 5i) - (2 - i) ← expand the product of factors using FOIL

= 3 + 11i - 20i² - 2 + i ( note i² = - 1 )

= 3 + 11i + 20 - 2 + i ← collect like terms

= 21 + 12i

Answer:

The answer is

21 + 12i

Step-by-step explanation:

(3-4i)(1+5i)-(2-i)

Expand the terms in the bracket first

That's

3 + 15i - 4i - 20i² - ( 2 - i)

Remove the bracket

3 + 15i - 4i - 20i² - 2 + i

But i² = - 1

Group like terms

- 20(-1) + 15i - 4i + i + 3 - 2

15i - 4i + i + 20 + 3 - 2

Simplify

We have the final answer as

21 + 12i

Hope this helps you

Bob and Dan earned a total of $72
shoveling snow. If Bob earned 3 times as
much as Dan, how much did each boy
earn?

Answers

Answer:

see explanation

Step-by-step explanation:

If Dan earns $x then Bob earns $3x ( 3 times as much as Dan ), then

x + 3x = 72 , that is

4x = 72 ( divide both sides by 4 )

x = 18

Thus

Dan earns $18 and Bob earns 3 × $18 = $54

The earning of Bob will be 54 dollars and the earning of Dan will be 18 dollars.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Let the earning by Bob be x and the earning by Dan be y.

Bob and Dan earned a total of $72 shoveling snow. Then the equation will be

x + y = 72 ...1

If Bob earned 3 times as much as Dan. Then the equation will be

x = 3y   ...2

Substitute the value of x in equation 1, then the equation will be

3y + y = 72

     4y = 72

       y = $18

Then the money earned by Bob will be

x = 3y

x = 3(18)

x = $54

Thus, the earning of Bob will be 54 dollars and the earning of Dan will be 18 dollars.

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Which graph represents this function f(x)=1/2x-5

Answers

Answer:

The first graph(Left)

Step-by-step explanation:

Because in this form 1/2 is the slope and -5 is the y intercept.

Answer:

Graph B

Step-by-step explanation:

Without even having to look at the numbers, we can see the answer is graph B because the slope in the function is positive, and B is the only positive graph! (rising when approaching positive infinity)

Hope this helped! :)

Select the correct answer.
Which relation is a function?

A. {(2,3), (1,5), (2,7)}

B. {(-1,5), (-2,6), (-3,7)}

C. {(11,9), (11,5), (9,3)}

D. {(3,8), (0,8), (3,-2)}

Answers

Answer:

The answer is option B.

Explanation:

A rule that uniquely associates elements of one set A with the elements of another set B and each element in set A maps to only one element in set B.

Each element from X is related to only one element in Y. But it is okay for two different elements in X to be related to the same element in Y. So its  still a function. Let suppose

{ (1,a) , (2, b) , (2, c) , (3, d) }

This relation is not a function from X to Y because the element 2 in X is related to two different elements, b and c.

I need help ASAP ? Does anyone know the answer?

Answers

Answer:

  see the attachment

Step-by-step explanation:

The graph of the inverse function is the reflection of the function across the line y=x. It can also be found by swapping the x- and y-coordinates of every point.

The endpoints of the inverse function segment are (-2, -6) and (4, -1). These are the endpoint coordinates of the given relation, with the elements of the ordered pair reversed.

The local theatre production company sells advance tickets (a) for $16 per seat. On the night of the performance, tickets (t) are sold for $22 each. If the company sold 648 tickets for at total of $11,826, write an equation that expresses the total income from ticket sales.

Answers

Answer:

16a + 22t = 11826

Step-by-step explanation:

Cost of 1 (a) ticket = $16

Cost of 1 (t) ticket = $22

Total tickets sold = 648

Cost of 648 tickets = $11826

So eqn will be => 16a + 22t = 11826

Most evenings after dinner Duarte spends 30 minutes playing chess with his dad. Write an equation for the number of minutes, m, that Duarte spent playing chess with his dad if they played chess together (e) evenings.

Answers

Answer:

m=30e

Step-by-step explanation:

30 minutes for each evening, 2 evenings, 60 minutes

Hope this helped!

The most suitable equation that would express the time Duarte spends to play chess with his dad is m= 30e

How to use equation for expressions

Number of minutes each evening= 30 mins=m

They played together every evening= e.

Therefore, the equation that would express the time Duarte spends to play chess with his dad is m = 30e.

Learn more about equation here:

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Jacob had a six-sided number cube. Each side was labeled with one number, from 1
through 6. What is the probability that Jacob rolls a prime number?
Round to the nearest tenth.

Answers

Answer:

1 out of 6 because you have only one chance to get 4.

Step-by-step explanation:

Answer:

50% chance

Step-by-step explanation:

A prime number is a number that a natural number greater than 1 that is not a product of two smaller natural numbers. And the only prime numbers between 1 and 6 are 2,3, and 5. This is 3 numbers. So he has a chance of 3/6 =.5=50%

What is the volume in cubic feet of the prism, rounded to the nearest cubic foot? Do not use units or commas in your answer.

Answers

Answer:

35.1

Step-by-step explanation:

There's a formula that i've linked as an image

Basically, substitute all 3 sides and the length into that formula, chuck it into the calculator and viola.

Or... we can use pythagoras' theorem and get the height of the triangle Height = [tex]3^{2}[/tex] - [tex]1.5^{2}[/tex] = 2.6

Area of triangle = (3 * 2.6) / 2 = 3.9

Volume = 3.9 * 9

Volume of prism = 35.1

7. The radius of a cylinder whose curved surface area is 2640 2 and height 21 cm is _________. (a) 100 ° (b) 50° (c) 80° (d) 90°

Answers

Answer:

The answer is 21.25cm

Step-by-step explanation:

Hope i am marked as brainliest

Polygon ABCD is reflected to produce polygon A’B’C’D’E’ what is the equation for the line over reflection A) y=0 B) x=0 C) x=2 D) y=1

Answers

Answer:

The answer is x=0. Believe me that's right.

Select all that apply. If x^2+b/ax+c/a=0 ; then: The sum of its roots = -b/a? The difference of its roots =-b/a? The product of its roots = c/a?The division of its roots = c/a? I can select multiple.

Answers

Answer:

             The first and the third

Step-by-step explanation:

[tex]x^2+\frac bax+\frac ca=0\\\\ ax^2+bx+c=0\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a}\qquad\quad x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x_1+x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}+\dfrac{-b+\sqrt{b^2-4ac}}{2a}=\dfrac{-2b}{2a}=\dfrac{-b}a\\\\\\x_1\cdot x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}\cdot\dfrac{-b+\sqrt{b^2-4ac}}{2a}=\\\\{}\ \ =\dfrac{b^2-b\sqrt{b^2-4ac}+b\sqrt{b^2-4ac}-(\sqrt{b^2-4ac})^2}{2a}=\dfrac{b^2-(b^2-4ac)}{4a^2}=\\\\{}\ \ =\dfrac{b^2-b^2+4ac}{4a^2}=\dfrac{4ac}{4a^2}=\dfrac{c}{a}[/tex]

[tex]x_1-x_2=\frac{-b-\sqrt{b^2-4ac}}{2a}-\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-2\sqrt{b^2-4ac}}{2a}=\frac{-\sqrt{b^2-4ac}}{a}\\\\\\x_1\div x_2=\frac{-b-\sqrt{b^2-4ac}}{2a}\div\frac{-b+\sqrt{b^2-4ac}}{2a}=\frac{-b-\sqrt{b^2-4ac}}{2a}\,\cdot\,\frac{2a}{-b+\sqrt{b^2-4ac}}=\\\\=\frac{-b-\sqrt{b^2-4ac}}{-b+\sqrt{b^2-4ac}}=\frac{b+\sqrt{b^2-4ac}}{b-\sqrt{b^2-4ac}}=\frac{b^2+2\sqrt{b^2-4ac}+b^2-4ac}{b^2-b^2+4ac}=\frac{2b^2+2\sqrt{b^2-4ac}-4ac}{4ac}=[/tex]

[tex]=\frac{b^2+\sqrt{b^2-4ac}-2ac}{2ac}[/tex]

A county real estate appraiser wants to develop a statistical model to predict the appraised value of houses in a section of the county called East Meadow. One of the many variables thought to be an important predictor of appraised value is the number of rooms in the house. Consequently, the appraiser decided to fit the simple linear regression model, y=Po+B1x, where y appraised value of the house (in $thousands) and x number of rooms. Using data collected for a sample of n 74 houses in East Meadow, the accompanying results were obtained. Give a practical interpretation of the estimate of the slope of the least squares line. i Click the icon to view the results.
A. For each additional dollar of appraised value, the number of rooms in the house is estimated to increase by 22.71 rooms.
B. For a house with 0 rooms, the appraised value is estimated to be $74,800.
C. For each additional room in the house, the appraised value is estimated to increase $22,710
D. For each additional room in the house, the appraised value is estimated to increase $74,800.

Answers

Answer:

D. For each additional room in the house, the appraised value is estimated to increase $74,800

Step-by-step explanation:

The statistical model is used to predict the appraised value of houses in East Meadows. The value of a house is determined by using variables. The regression model helps to analyse the value of a house. It is predictive modelling technique which determines a relationship between dependent and independent variable.

Last question! Having some trouble.

Answers

Answer:

C

Step-by-step explanation:

The abscissa is the value of the x- coordinate and the ordinate is the value of the y- coordinate.

Since the point is in the second quadrant then x- coordinate will be negative and the y- coordinate positive.

C is the only point which meets this condition and

- 3 = 2(1) - 5 = 2 - 5 = - 3 ( 5 less than twice the ordinate) → C

Danny drove to Yosemite Park from his home at 60 mph. on his trip home, his rate was 10 mph less and ...?

Answers

Answer: 300 mi.

Step-by-step explanation:

Let t be the time taken to drive to the park (at 60 mph)

Let t + 1 be the time taken to drive home from the part (at 50 mph)

Distance to the park = 60t

Distance from the park = 50(t + 1)

Obviously the distances should be the same so equate them.

60t = 50(t + 1)

60t = 50t + 50

10t = 50

t = 50/10

t = 5 hours

Now figure the distance.  You can use either equation for the distance to or from the park:

60t = 60(5) = 300 miles

or

50(t+1) = 50(6) = 300 miles

The distance to or from the park will be 300 miles.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let assume t be the time taken to drive to the park (at 60 mph).

Let assume t + 1 be the time taken to drive home from the part (at 50 mph)

The Distance to the park = 60t

The Distance from the park = 50(t + 1)

Obviously the distances should be the same, so equate them;

60t = 50(t + 1)

60t = 50t + 50

10t = 50

t = 50/10

t = 5 hours

Now figure the distance. We can use either equation for the distance to or from the park:

60t = 60(5) = 300 miles

50(t+1) = 50(6) = 300 miles

Therefore, the distance to or from the park will be 300 miles.

Learn more about equations here;

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heLp would be appreciated for the image below :))

Answers

Answer:

A

Step-by-step explanation:

The line from the vertex to the base is a perpendicular bisector and divides the isosceles triangle into 2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles, then

([tex]\frac{1}{2}[/tex] x )² + 3² = ([tex]\sqrt{45}[/tex] )²

[tex]\frac{1}{4}[/tex] x² + 9 = 45 ( subtract 9 from both sides )

[tex]\frac{1}{4}[/tex] x² = 36 ( multiply both sides by 4 to clear the fraction )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12 → A

what are 2 equivalent ratios to 27:9?​

Answers

Answer:

3:1

54:18

Step-by-step explanation:

You can divide both sides by 9 to get one ratio:

27/9:9/9

3:1

You can also multiply both sides by 2 to get another ratio:

27(2):9(2)

54:18

What is the determinant of the coefficient matrix of the system –7 –2 –1 0

Answers

Answer:

0

Step-by-step explanation:

Please check attachment for complete solution

Answer:

D. 0

Step-by-step explanation:

last option

Zach tried to solve an equation step by step. 34=z−1234+12=z−12+12Step 154=zStep 2\begin{aligned} \dfrac34&=z-\dfrac12\\\\ \dfrac34+\dfrac12&=z-\dfrac12+\dfrac12&\green{\text{Step } 1}\\\\ \dfrac54&=z&\blue{\text{Step } 2} \end{aligned} 4 3 ​ 4 3 ​ + 2 1 ​ 4 5 ​ ​ =z− 2 1 ​ =z− 2 1 ​ + 2 1 ​ =z ​ Step 1 Step 2 ​ Find Zach's mistake. Choose 1 answer: Choose 1 answer:

Answers

Question:

Zach tries to solve an equation step by step;

[tex]\frac{3}{4} = z - \frac{1}{2}[/tex]

Step 1:

[tex]\frac{3}{4} + \frac{1}{2} = z - \frac{1}{2} + \frac{1}{2}[/tex]

Step 2:

[tex]\frac{3}{4} + \frac{1}{2} = z[/tex]

[tex]\frac{5}{4} = z[/tex]

Find Zach's mistake;

Answer:

Zach didn't make any mistake

Step-by-step explanation:

Given: the steps above

At step 1, he applied addition property of equality by adding [tex]\frac{1}{2}[/tex] to both sides of the equation

Step 2 is a result of step 1 and he rightly added the fractions

Further Explanation;

[tex]\frac{3}{4} = z - \frac{1}{2}[/tex]

Add [tex]\frac{1}{2}[/tex] to both sides

[tex]\frac{3}{4} + \frac{1}{2} = z - \frac{1}{2} + \frac{1}{2}[/tex]

[tex]\frac{3}{4} + \frac{1}{2} = z[/tex]

Take LCM of fractions at the left hand side

[tex]\frac{3 + 2}{4} = z[/tex]

[tex]\frac{5}{4} = z[/tex]

Reorder

[tex]z = \frac{5}{4}[/tex]

Analyzing the steps one after the other, we can conclude that Zach didn't make any mistake;

Answer:

C: Zach did not make a mistake

Step-by-step explanation:

SO IT NOT CONFUSING

+

GOT IT ON KHAN

(p.s. can u give me brainliest?)

A sixth-grade class is growing plants for their
science projects. Each student spent $1.00 for a
package of seeds and $2.50 for a container to
plant the seeds in. There are 30 students in the
class. How much money did the sixth-grade class
spend on seeds and containers in all?

Answers

Answer:

5.76

Step-by-step explanation:

Answer:

$105

Step-by-step explanation:

Each student buys one package of seeds and one container

s = Amount of students; p = price of seed package; c = price of container

s*(p+c)=30(1.00+2.50)=30(3.5)$105.

Hope This Helps!

State the equation of the following graphs.
Someone please help ASAP

Answers

Answer

y = 1(x +1) - 3

Explanation

A quadratic equation of the form y = ax^2 + bx + c

This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).

This results in y = a(x + p) + q

Where - p is the x value and q is the y value of turning point.

For graph 22, x = -1 and y = -3

Therefore, the equation is of the form

y = a(x + 1) - 3 (*)

We still need the value a, this can be obtained by using the y-intercept we are given.

We are told x = 0 when y = -2

Substitute this in (*) equation:

-2 = a(0+1) - 3

-2 = a - 3

a = 1

Therefore final equation is

y = 1(x +1) - 3

This should provide you with the train of thought of how the second question should also be tackled.

If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond

What is the simplified form of this expression?

(-3x2 + 2x − 4) + (4x2 + 5x + 9)

Answers

Answer:

[tex]\large \boxed{\sf \ \ x^2 + 7x + 5 \ \ }[/tex]

Step-by-step explanation:

[tex]\mathrm{\sf (-3x^2 + 2x -4) + (4x^2 + 5x + 9)}[/tex]

Remove brackets.

[tex]\large{\sf -3x^2 + 2x -4 + 4x^2 + 5x + 9}[/tex]

Group like terms.

[tex]\large{\sf -3x^2 + 4x^2 + 2x + 5x + 9 -4}[/tex]

Combine like terms.

[tex]\large{\sf x^2 + 7x + 5}[/tex]

The simplified form of this expression (-3x² + 2x − 4) + (4x² + 5x + 9) is determined as x² + 7x + 5.

What is the simplified form of this expression?

To simplify the given expression, we need to combine like terms.

The given expression;

(-3x² + 2x − 4) + (4x² + 5x + 9)

Let's start by combining the terms with the same degree of x:

Combine the x² terms:

(-3x² + 4x²) + 2x - 4 + 5x + 9

Simplify further;

x² + 7x + 5

Thus, the simplified form of this expression (-3x² + 2x − 4) + (4x² + 5x + 9) is determined as x² + 7x + 5.

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Select the correct answer.
What is the value of this expression when g= -3.5?
8-[2g-5]
OA.
20
OB.
10
OC. 6
OD.
-4​

Answers

Answer:

A. 20

Step-by-step explanation:

We are given the expression:

8-(2g-5)

and asked to find the value of the expression when g=-3.5. Therefore, we must plug -3.5 in for g.

8- (2(-3.5)-5)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, solve inside the parentheses. Begin by multiplying 2 and -3.5

8-(-7-5)

Next, subtract 5 from -7

8-(-12)

Finally, subtract -12 from 8.

8+12

20

The value of the expression 8-(2g-5)  when g=-3.5 is 20. Therefore A. 20 is correct.

Please help me it will be greatly appreciated!

Answers

Answer:

∠y = 70º, ∠z = 60º, ∠w = 70º

Step-by-step explanation:

i believe the angle measures are the same for both triangles.

so ∠z = 60º, ∠x = 50º

to get ∠w, 180 - (50 + 60) = 70

∠w = 70º

∠w and ∠y would be equivalent

Two choises! Pick the right one!

Answers

Answer:

The function has a maximum value of 3 that occurs at x = 1.

Step-by-step explanation:

First, note that the leading coefficient is negative. This means that the parabola will curve downwards. Because of this, the function has a maximum. The maximum value will simply be the vertex.

The formula for the x-coordinate of the vertex is -b/2a.

a=-3, b=6, c=0

Plug in the numbers:

x=-(6)/2(-3)

=-6/-6=1

Now, plug 1 back into the original function:

-3x^2+6x

-3(1)^2+6(1)

=-3(1)+6

=-3+6

=3

the answer is 3 if i calculated it correctly
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The vertical distance from the dock to the boat's mast reaches its highest value of -27 \text{ cm}27 cmminus, 27, space, c, m every 333 seconds. The first time it reaches its highest point is after 1.31.31, point, 3 seconds. Its lowest value is -44\text{ cm}44 cmminus, 44, space, c, m. Find the formula of the trigonometric function that models the vertical height HHH between the dock and the boat's mast ttt seconds after Antonio starts his stopwatch. Define the function using radians. Drag each label to the correct location on the image.Match the policies, characteristics and events to the correct president. If a feature relates to both the presidencies drag thecorresponding feature to both.FordBothCarterwas neverofficiallyelected to officetried to beat inflationtried to stave off inflationwith the WIN programwith tax cutsdevised his foreign relationsstrategy around hiscommitment to human rights factorise 8a^3+b^3+12a^2b+6ab^2 5Write 2 -% as a decimal (not8as apercentage). BRAINLIEST TO FIRST RIGHT ANSWER The coefficients of the first three terms in the expansion of (x y) 4 are a) 1, 4, 6 b) 1, 4, 6 c) 1, 4, 6 d) 1, 3, 5 Economist C says all of the following: Expansionary fiscal policy is needed to raise aggregate demand and remove the economy from a recessionary gap. The choice of fiscal policy measures is between ________________ government spending and a _______________ in taxes. Since I am in favor of bigger government, I choose a(n) _________________ in _________________. Pls answer will make brainlist (I NEED HELP) The data below shows the scores of some students on a test: 23, 27, 21, 20, 25, 31, 22 Which box-and-whisker plot represents the data? What is brand recognition? Recognizing a product based on the logo Using the font and color in all advertising products Encouraging other people to buy a product you like Knowing every single company that makes a certain product There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. b How many ways can we choose a Senator from a chosen state? c How many ways can the 3-Senator committee be formed such that no two Senators are from the same state? HELPP PLEASE2. At Math Camp, students can either pack their own lunch every day or buy lunch at camp. If they want to buy lunch there are 3 options: Option A: they pay an initial fee of $30 and lunches cost $2 each Option B: shown on the graph Option C: they pay a flat fee of $70 which includes all lunches Write an equation for each option. (3 marks) Option A: Option B: Option C: b) Describe under what conditions, a student should choose each option. (Hint: you may want to graph all 3 lines on the same axes) (4 marks) Choose Option A if: Choose Option B if: Choose Option C if: 3. 4. A Campbells Soup can is 15cm tall and has a radius of 5 cm. How much paper is needed to make the label (think about what the label covers)? (3 marks) How much soup can this hold? (1 cm3 = 1 mL) (3 marks) Where and when did the Battle of the Somme take place?along a French river, after the Battle of Verdunon the British coast, after the Battle of Verdunin a small French town, before the Battle of Verdunnear the Belgian border, before the Battle of Verdun Under what conditions are we allowed to add or subtract radicals together? Jordon will play a triangle at his schools music program. As its name suggests, the musical instrument is shaped like a triangle. Jordon has customized the dimensions to produce a unique melody, which is played when the shortest side is hanging down, parallel to the ground. Which side of the musical instrument should be parallel to the ground if its dimensions are as shown in the diagram? The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below: Step 1: 2(y + 4) = 4y Step 2: 2y + 6 = 4y Step 3: 2y = 6 Step 4: y = 3 Which of the following explains how to correct Step 2 and shows the correct value of y? The equation should be y + 4 = 4y after division by 2; y = 5 The equation should be y + 4 = 4y after division by 2; y = 2 2 should be distributed as 2y + 8; y = 4 2 should be distributed as 2y + 8; y = 2