Mathematics College

Review the following information about vectors q and r.

q = ⟨–4, 1⟩

r = ⟨a, 3⟩

7(q + r) = ⟨–35, 28⟩

What is the value of a?

–31
–7
–5
–1

Answers

Answer 1

Answer:

D) -1

Step-by-step explanation:

got it right on edge :)

Review The Following Information About Vectors Q And R.q = 4, 1r = A, 37(q + R) = 35, 28What Is The Value
Answer 2

Vector addition is done by addition of the components

The value of a is -1

a = –1

Reason:

The given parameters are;

q = <-4, 1>

r = <a, 3>

7·(q + r) = <-35, 28>

Required:

The value of a

Solution;

By vector addition of the components of q, and r, we have;

q + r = <-4 + a, 1 + 3> = <-4 + a, 4>

q + r =  <(-4 + a),    4>

By plugging in the value of q + r from the above step, we have;

7·(q + r) = <7 ×(-4 + a), 7 × 4> distribution property

7·(q + r)  = <-35, 28> Given

Therefore, by comparison of components, we have;

7 ×(-4 + a) = -35

[tex]-4 + a = -\dfrac{35}{7} = -5[/tex]

a = -5 + 4 = -1

a = –1

The correct option for the value of a is –1

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Related Questions

Write 14/9
as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Answers

Answer:

1.5 repeating

Step-by-step explanation:

what is the maximum number of cubes with side lengths of 1/2 cm that can fit into a right rectangular prism with base dimensions of 12 1/2 cm by 8 1/2cm and a height of 9 1/2cm?

Answers

Answer:

8075.

Step-by-step explanation:

Volume of the prism

= 12 1/2 * 8 1/2 * 9  1/2

= 25/2 * 17 / 2 * 19/2

= 8075/8 cm^3

The volume of the small cubes = (1/2)^3 = 1/8 cm^3

So the number required = 8075 / 8   /  1/8

= 8075*8 / 8

= 8075.

Dalia used a balancing move to begin to solve the
equation below.
6x + 12 = 10x - 4
The result of Dalia's first step was 12 = 4x – 4.
Describe the first step Dalia made to solve the equation.

Answers

To combine like terms and single out one term to take it easier to solve, the 6x was moved to the other side to combine like terms.
Subtracting 6x from 10x which is 4x

.helppppppppppppppp!!!!!

Answers

answer: B

Step-by-step explanation: Its the only one that makes sense because as you see there are only four numbers to go off of, and b is the only one tht makes sense tbh

Help people help!!!!

Answers

Answer:

I think that it is

C

Please let me know if it is not correct!!!!

Answer:

A would most likly be the answer

Step-by-step explanation:

because in the equation sinse A =  -5 1/4 which is whe he was at the end hopefully you understand

What is 9.52% expressed as a decimal?​

Answers

Answer:

0.0952

Step-by-step explanation:

Percent just divide by 100

9.52 ÷ 100 = 0.0952

Answer:

0.0952

Step-by-step explanation: In order to get a decimal out of a percentage you take the decimal and put it two places to the left. Hope this helps!

Before your trip to the mountains your gas tank was 7/9 full. When you returned home, the gas gauge registered 1/3 of a tank. If your gas tank holds 18 gallons did you use to drive to the mountains and then back home?

Answers

That means it would be 20/17

What is the equation of the line that passes through the points (-4, 2) and (12, 6)?​

Answers

Answer:

y=1/4x+3

Step-by-step explanation:

Explain what needs to be fixed.
2n + 10 = -2
2n = 12 Step one
n = 6 Step two

Answers

Answer:

step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.

Step-by-step explanation:

STEP 1: Move all terms not containing n to the right side of the equation.

[tex]2n=-12[/tex]

STEP 2: Divide each term by 2 and simplify.

[tex]n=-6[/tex]

someone help me with this

Answers

Answer:

-30 is the right one if u need help tell me ;)-

Step-by-step explanation:

:)

A retail store makes k% profit on the selling price. What is the least integer value of k that will enable the store to make a profit of at least 30% of the cost of the item?

Answers

Answer:

k = 23% profit on sale price is needed to ensure 30% profit on cost price

Step-by-step explanation:

Let sale price be = s , Profit = k% of s

Let cost price be = 100 , Profit = 30% of c

Cost price (c) + profit (p)  = Sale price (s)

c + 0.3c = s

1.3c = s

Profit as a percentage of sale = (Profit / Sale) x 100

= (0.3c / 1.3c) x 100

= 23%

Which phrase best completes the list?

Types of Expenses - Taxes

Apply to money earned and spent

Usually take up about 14 percent of a person's income

?

A. Are paid to the government
B. Allow a person to buy a home
C. Pay for vital services like water
D. Do not need to be paid every year

Answers

Answer:a

Step-by-step explanation:

The solution is, O A. Are paid to the government, the phrase best completes the list. Types of Expenses.

Here, we have,

Explanation:

Utilities are expenses on essential and vital services common to households and businesses. They include water and sewage bills, electricity bills, and garbage disposal expenses. A firm offering such services generate utility bills. The cost covers a regular period, say mostly monthly.

Heating and internet or data costs are also being considered as utility expenses. They are common and essential for domestic and business use.

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what is Evaluate 2. to the 2 power

Answers

Answer:

2^2 = 4

Step-by-step explanation:

2*2 = 4

2 to the 2 power is 2^2 = 2 x 2 = 4

how can i solve -4.6x = -11.04

Answers

Answer:

The last one

Step-by-step explanation:

Answer:

D, Divide both sides by -4.6

Step-by-step explanation:

You want to get the x and the regular integers on separate sides of the equals sign, so you divide the -4.6 to get the x on its own side of the equals sign. That's the first step to solving the equation.

Determine if the number is a negative or positive integer. Gain 4 yards in the last down.

Answers

Answer:

Positive

Step-by-step explanation:

It's positive because the person is gaining 4 yards, not losing it.

Can someone please help me if you know! Thank you

Answers

Answer:

D

Step-by-step explanation:

the equation for Josh is 500 + 40x while the equation for Vanessa is only 60x

if josh's account balance is greater than it would be josh > vanessa or vanessa < josh

Need help with geometry.

Answers

Answer:

42

Step-by-step explanation:

A roof rises 15 feet vertically and 12 feet horizontally. What is the slope of the​ roof?

Answers

Answer: 15/12 or in simplest form its 5/4

Step-by-step explanation:

Slope is rise/run

Answer:

Do you know rise over run?? The roof goes up 15 feet and to the left or right 12 feet... the slope would be 15/12 or it would be 1.25 (when divided). Hope it helps!

Step-by-step explanation:

Question 1) In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row. A) Write an iterative rule to model the sequence formed by the number of seats in each row. Show your work. (B) Use the rule to determine which row has 100 seats. Show your work. ( No Plagiarism and only answer if you know how to work this problem out. Will Mark Brainliest).​

Answers

Answer: Row 14

Step-by-step explanation:

Row 1= 22

Row 2= 28

Row 3= 34

Row 4= 40

Row 5= 46

Row 6= 52

Row 7= 58

Row 8= 64

Row 9= 70

Row 10= 76

Row 11= 82

Row 12= 88

Row 13= 94

Row 14= 100

This question is based on the sequence. Thus, the  row 14 has 100 seats.

Given:

In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row.

Now calculated the A part of the question.

According to the question,

By using iterative rule to model the sequence formed by the number of seats in each row.

Row 1= 22 Row 2= 28 Row 3= 34 Row 4= 40 Row 5= 46 Row 6= 52 Row 7= 58 Row 8= 64 Row 9= 70  Row 10= 76 Row 11= 82 Row 12= 88 Row 13= 94 Row 14= 100

(B) By using rule , we observe that row 14 has 100 seats.

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3x + 1 = 3(x - 1) + 4​

Answers

Simplifying

3x + 1 = 3[x + -1] + 4

Reorder the terms:

1 + 3x = 3[x + -1] + 4

Reorder the terms:

1 + 3x = 3[-1 + x] + 4

1 + 3x = [-1 * 3 + x * 3] + 4

1 + 3x = [-3 + 3x] + 4

Reorder the terms:

1 + 3x = -3 + 4 + 3x

Combine like terms: -3 + 4 = 1

1 + 3x = 1 + 3x

Add '-1' to each side of the equation.

1 + -1 + 3x = 1 + -1 + 3x

Combine like terms: 1 + -1 = 0

0 + 3x = 1 + -1 + 3x

3x = 1 + -1 + 3x

Combine like terms: 1 + -1 = 0

3x = 0 + 3x

3x = 3x

Add '-3x' to each side of the equation.

3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0

0 = 3x + -3x

Combine like terms: 3x + -3x = 0

0 = 0

This equation is an identity, all real numbers are solutions.

Write the number below in expanded notation 75,966

Answers

7.596 to the 4th power

-9h - 15 = 93 Need help. Not that good at solving two step equations. Algebra's tricky. Please solve.

Answers

Answer:

h=12

Step-by-step explanation:

first you want to isolate the variable. since you are subtracting 15, you wanna add fifteen to the 93 and cancel it out on the other side of the equation symbol. that equals 108. how since you are doing 9*h you divide on the opposite side of the equation so 108/9=12. the 9 cancels out meaning h=12

Write a unit rate for the situation. Round to the nearest hundredth if necessary.
traveling 216 miles in 5 hours
A. 54 miles/hour
B. 39.27 miles/hour
C. 43.2 miles/hour
D. 0.4 miles/hour

Answers

Answer: 43.2 miles/hour

Step-by-step explanation:

Order of Operations with and without variables

Answers

I think the answer is -4

Help!! I need an answer asap!!

Given a∥b, find m∠1 = 71º.
Find: m∠5, m∠8

Answers

Answer:

m<5 = 71 and m<8 = 109

Step-by-step explanation:

m<1 is equivalent to m<5 and m<2 is equivalent to m<8.

Answer:

∠5 = 71°

∠8 = 109°

Step-by-step explanation:

∠1 = 71°

∠5 = 71°  (the same as ∠1 = 71°) its a corresponding angle

∠8 = 180 - ∠5

∠8 = 180 - 71

∠8 = 109°

Enter a range of values for x.
+
42°
3x+156
23
21
[ ? ] 

Answers

Answer:

-5<x<9

Step-by-step explanation:

It took me a while to find figure it out.

What is a fraction equivalent to 4/4? Explain how you know.

Answers

Answer:  Any number over itself is equivlent to 4/4.

Examples: 3/3, 18/18, 5/5, 90/90

Step-by-step explanation:

Because 4/4 is equivalent to 1 whole.

A fraction that is equivalent to 4/4 would be, 5/5 as, After simplifying the fraction 5/5 is equal to 1.

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.

Given that,

The fraction is,

⇒ 4/4

Now, after simplifying the fraction we get;

⇒ 4/4

⇒ 1

So, Let a fraction that is equivalent to 4/4 would be;

⇒ 5/5

After simplifying we get;

⇒ 5/5 = 1

Therefore, A fraction that is equivalent to 4/4 would be, 5/5

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Plot each point on the coordinate plane.


Answers

A left 3 time up 5 times.
B right 2 times down 4 times.
C start at the center then go up 3 times.
D just go to the right six times.
E left two times and down 7 times

I hoped that helped.

Can someone please help me with this question i have 3 minutes left

Answers

Answer:

It will cost 11 cents a day.

Step-by-step explanation:

1.98/18=11

plzz have brainiest

Help me pleaseee (10 points)

Answers

Answer:

Step-by-step explanation:

tan(16)=125/a

tan(16)=35.8 (DC)

tan(7)=125/a

tan(7)=15.3

35.8-15.3=20.5

Sorry if that's incorrect, my best is 20.5 feet.

Answer:   approximately 582 feet.

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

Work Shown:

Let

x = length of AD in feet

y = length of DC in feet

x and y are positive real numbers.

For now, focus on triangle BCD. Ignore point A and its associated angle.

tan(angle) = opposite/adjacent

tan(D) = BC/DC

tan(16) = 125/y

y*tan(16) = 125

y = 125/tan(16)

y = 435.926805480113

y = 435.926805

The value of y is approximate

Now focus on triangle ABC. Ignore point D and its associated angle.

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = BC/(AD+DC)

tan(7) = 125/(x + y)

(x+y)*tan(7) = 125

x*tan(7) + y*tan(7) = 125

x*tan(7) = 125 - y*tan(7)

x = ( 125-y*tan(7) )/( tan(7) )

x = ( 125-435.926805*tan(7) )/( tan(7) )

x = 582.116498496824

x = 582

The distance from A to D is approximately 582 feet.

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