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
Answer:
D) -1
Step-by-step explanation:
got it right on edge :)
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 property7·(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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Michael went to the grocery store and bought bottles of soda and bottles of juice.
Each bottle of soda has 40 grams of sugar and each bottle of juice has 20 grams of
sugar. Michael purchased a total of 11 bottles of juice and soda which collectively
contain 300 grams of sugar. Write a system of equations that could be used to
determine the number of bottles of soda purchased and the number of bottles of juice
purchased. Define the variables that you use to write the system.
Answer:
2+2929?
Step-by-step explanation:
answer= 2 + 29 = 31, then multiply it by 1= then, you still have it, then add another 29, then theres ur answer
Multiply and combine like terms: (2x + (1/6))^2
please answer this :(
Answer:
X+2 metres. Just use a^+2ab+b^2
Olivia is using 160 quilt squares to make a red, yellow, and blue quilt. If 25% of the quilt squares are red and 30% are yellow, how many quilt squares are blue?
Answer:
72 blue quilt squares
Step-by-step explanation:
Total number of quilt squares = 160
Percentage of no. of red quilt squares = 25%
Percentage of no. of yellow quilt squares = 30%
So, percentage of no. of blue quilt squares = 100 - (25 + 30) = 45%
No. of blue quilt squares = [tex]\frac{45}{100} *160=\frac{45*160}{100} = \frac{7200}{100} =72[/tex]
X3.1.PS-7
Question
A local little league has a total of 60 players, of whom 40% are right-handed. How many
right-handed players are there?
Which of the following sets are disjoint?
a) Men and uncles
b) Aunts and uncles
c) Women and Aunts
d) They are all disjoint
=======================================================
Explanation:
The term "disjoint" is another way of saying "mutually exclusive". If two sets are disjoint, then they have nothing in common. Put another way, if two sets are disjoint, then it's not possible to be part of both sets at the same time.
In this case, it is not possible to be both an aunt and an uncle simultaneously for any one person. So this is why choice B is the answer.
Help me pls this is due tomorrow at 8:00 am
Answer:
it would be what they said
Step-by-step explanation:
so sorry i need 50 pts
Answer:
Oh this is easy 24
Step-by-step explanation:
2x4=8x3=24
multipy (2c-1) (7c-5)
Answer:
2.8 or 2 4/5
Step-by-step explanation:
2c*7c= 14c
1*5= 5
14c/5=
Answer:
14c^2 - 17c + 5
Step-by-step explanation:
hope to get a brainliest hope you the bsat on it have a good day:)
The walls of a square room need painting. Each of the four walls is 12ft wide by 8.5 feet tall. One gallon of paint covers 75ft2. How many gallons will you need
Answer:
5.44 gallons of paint
Step-by-step explanation:
First, we calculate the total area of the walls we need to paint. To do this, we use the formula for the area of a rectangle and we multiply our answer by 4, since there are 4 walls.
Area=(length*width)4
Area=(12*8.5)4
Area=(102ft^2)4
Area=408ft^2
Therefore, the total area of the walls is 408ft^2.
Now, we need to calculate the number of gallons we need to paint 408ft^2 worth of wall. Because we know that one gallon of paint covers 75ft^2, we can calculate this by dividing 408 by 75.
408/75
=5.44 gallons
Therefore, we would need 5.44 gallons of paint to paint the four walls.
I hope this helps!
Select the correct answer from the drop-down
menu.
Answer:
-30
Step-by-step explanation:
did the test and it is right
Which set of number includes only intergers
Answer:
{-10, -7, 0, 98, 145}
Step-by-step explanation:
An integer is whole numbers and their opposites, doesn't have to be written as a fraction.
{-3, 0, 5/6, 5, 45} 5/6 is not an integer{-9, -3, 0, 5.7, 7.8} 5.7 and 7.8 are not an integer{-3, -2 4/5, 5, 7, 53} 2 4/5 is not an integer{-10, -7, 0, 98, 145} all are integers.Does the table below represent a proportional relationship?
х
2
3
4
5
y
6
7
8
9
O A. Yes, because all the ratios of y to x are equal to 2.
OB. No, because all the numbers are positive.
O C. Yes, because all the ratios of yto x are equal to 3.
OD. No, because all the ratios of yto x are not equal.
Answer:
The answer is C. Hope it helps :)
Answer:
I think C Will help...
A fruit stand has to decide what to charge for thier produce. They need $10 for 4 apples
Answer:
$10 = 4x
Step-by-step explanation:
The "x" would represent how much the apples would cost. So next you would divide both sides by 4x and then it would leave you with 2/5.
[tex] \frac{1}{ax} - \frac{1}{bx} = 1[/tex]
can someone ease explain how this is possible. right now I have tried everything from the back of my head and nothing seems to work. Thanks!
Answer:
x= 1/a-1/b
Step-by-step explanation:
use math.way
The answer to your question is 1 because:
'ax' and 'bx' have no values, they are missing numbers.
We have to cancel out one 1, and our answer is 1.
Carry on Learning!
Given u = ⟨1, 3⟩, v = ⟨2, 1⟩, and cos(ϴ) = sqrt2/2, where ϴ is the angle between the vectors, what is the scalar projection uv and the dot product u · v?
uv = 1.41 and u*v = 4.47
uv = 2.24 and u · v = 5.00
uv = 2.24 and u · v = 7.07
uv = 7.07 and u · v = 15.81
Answer:
Step-by-step explanation:
l
Option C corresponds to the vectors scalar projection and dot product, which are uv = 2.24 and u v = 7.07.
To find the scalar projection (uv) and the dot product (u · v) of vectors u and v, use the following formulas:
Scalar Projection (uv) of u onto v:
uv = |u| × cos(ϴ)
Dot Product (u · v) of u and v:
u · v = |u| × |v| × cos(ϴ)
u = ⟨1, 3⟩ and v = ⟨2, 1⟩, and cos(ϴ) = √(2)/2,
calculate the magnitudes of u and v first:
|u| = √(1² + 3²) = √10
|v| = √(2² + 1²) = √5
Now, calculate the scalar projection (uv) and the dot product (u · v):
Scalar Projection (uv) of u onto v:
uv
= |u| × cos(ϴ)
= √10 × √(2)/2
= √(10/2)
= √5 ≈ 2.24
Dot Product (u · v) of u and v:
u · v
= |u| × |v| × cos(ϴ)
= √10 × √5 × √(2)/2
= √(1052)/2
= √100/2
= √50
≈ 7.07
Therefore, the scalar projection and dot product of the vectors is equal to option c. uv = 2.24 and u · v = 7.07.
Learn more about vectors here
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Please help with this math question thank you!
Type the decimal equivalent of 6 9/20 .
Answer:
6.45
Step-by-step explanation:
The person on top is correct.
HELPPPPPPPPPPP APPARENTLY MY ANSWER WAS WRONG
Answer:
d= -12 + 925
Step-by-step explanation:
decrease means negative and Increase means up (positive) so probably that why your answer was wrong
Answer:
d= -12 + 925
Step-by-step explanation:
PLS HELP PLS THE LAST QUESTION I ASKED PLSSSSS
Answer:
Okay nvm I have found it here is your graph I don't what type of graph you need so i will provide you with 2 of my choosings
Step-by-step explanation:
A dressmaker has 75 yards of lace . It takes 1 1/2 yards of lace to decorate one pocket . How many pockets can she decorate with the lace she has
Answer:
50 pockets
Step-by-step explanation:
Given
[tex]Total = 75\ yd[/tex]
[tex]Pocket = 1\frac{1}{2}yd[/tex]
Required
Determine the number of pockets
To calculate the required , we make use of:
[tex]Pockets = \frac{75yd}{1\frac{1}{2}yd}}[/tex]
[tex]Pockets = \frac{75}{1\frac{1}{2}}}[/tex]
Convert the denominator to decimal
[tex]Pockets = \frac{75}{1.5}[/tex]
[tex]Pockets = 50[/tex]
Hence, she can lace 50 minutes
Help please *an image is attached*
Answer:
what grade????????????
Help pls and thank you!
Answer:
120 such cubes could fit in the prism.
Step-by-step explanation:
Volume of prism = length × breadth × height
[tex] = \frac{5}{3} \times \frac{4}{3 } \times 2[/tex]
[tex] = \frac{40}{9} cm {}^{3} [/tex]
___________________________________
Volume of cube = a³
[tex] = ( \frac{1} {3}) {}^{3} [/tex]
[tex] = \frac{ {1}^{3} }{ {3}^{3} } [/tex]
[tex] = \frac{1}{27} cm {}^{ 3} [/tex]
____________________________________
[tex] \frac{40}{9} \div \frac{1}{27} [/tex]
[tex] \frac{40}{9} \times 27[/tex]
[tex]40 \times 3[/tex]
120
please please please help me i’ll mark brainliest
Given:
The graph of a function f(x).
To find:
The solution set for f(x)>0 and f(x)≤0.
Solution:
From the given graph it is clear that, the function intersect the x-axis at 3 points, i.e., x=-4, -3 and -2.
The graph is above the x-axis before -4 and between -3 and -2.
So, the solution set for f(x)>0 is [tex](-\infty,-4)\cup (-3,-2)[/tex].
The graph is below the x-axis between -4 and -3; and after -2. For f(x)≤0, those values are in the solution set for which f(x)=0, i.e., x-intercepts. So, we use close brackets in the interval notation.
So, solution set for f(x)≤0 is [tex][-4,-3]\cup [-2,\infty)[/tex].
help im stressing and crying
4x^2+x^3 factorised
How do you do this?...
Answer:
X²(4+x)
Step-by-step explanation:
You pick out the common term
Greetings.
The answer is x²(4+x)
Explanation:
[tex]4x^2+x^3\\[/tex]
By using a common factor, we factor x-term out. We factor the x-term with least degree and that is 2-degree. So we factor x² out.
When factored out, It's similar to dividing. When x² is divided by itself, the result is 1. When x³ is divided by x², the result is x (From the property of exponent.)
Similar to dividing, but we pull x² out.
[tex]4x^2+x^3\\x^2(4+x)[/tex]
Therefore, the answer/factored form is x²(4+x)
a owner increases the rent office house by 5% at end of each year if current its rent is ₹2500pm how much will be the rent after two years
Answer:
2950$
Step-by-step explanation:
2500×5%=125$
125×2=250$
2500+250=3960$
PLEASEEEE HELP ASAPP!! 25 POINTS!!
Consider the given functions
which statement about the functions is true?
A) function 2 and 3 have the same y-intercept and the same rate of change
B) functions 2 and 3 are both increasing but function 3 is increasing at a faster rate
C)functions 1 and 3 are both decreasing but function 1 is decreasing at a slower rate
D) function 1 and 3 have the same rate of change but function 1 has a greater y-intercept
Answer:
the answer is D because all the others are false, but 1 &3 both have a rate of change of 2, but 1's y-intercept is 8 and 3's y-intercept is 5
Answer:
yep he is right
Step-by-step explanation:
Ive been trying to figure out this problem, I’m not sure if each fruit is measures per pound. Please help!
Answer:
e
Step-by-step explanation:
i will give free points to people who answer my problem
Answer:
Elena spent [tex]p-3.45[/tex] more than Taniy
Step-by-step explanation:
LET THE PRICE OF CHERRY PER POUND BE "p" !!!!!
Elena bought a watermelon for = $7.75
Elena bought 3 pounds of cherry for = $3p
Total money spent by Elena = 3p + 7.75
Taniy bought a pineapple for = $4.35
Taniy bought 2 pounds of cherry for = $2p
Total money spent by Taniy = 2p + 4.35
More money spent by Elena than Taniy =
[tex](3p+7.75)-(2p+4.35)\\=>3p+7.75-2p-4.35\\=>3p-2p+7.75-4.35\\=>p-3.45[/tex]
help me with this its super hard
Answer:
240
Step-by-step explanation:
Because you have to do length times with times height
12 times 10 times 2= 240