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
Learn more here:
https://brainly.com/question/2927458
The diagram shows a round fountain surrounded by a circular path. The radius of the fountain is v7 yards, and the distance from the center of
the fountain to the outer edge of the path is 56 yards.
The estimated area of the fountain is
square yards, and the estimated area of the path is square yards
Can someone please help me!!!
Answer:
The first drop down box, I'm pretty sure its the second one
Step-by-step explanation:
Answer:
The guy up there is right so the answer, first one is 147.58 and the second one is 28.26
Step-by-step explanation:
Which operation should be done first in the
expression shown below?
3-5+4 + 2 x 6
Answer:
2x6
Step-by-step explanation:
Answer:
Do multiplications first, then simplify the equation from left to right. Therefore, your answer should be 18.
Step-by-step explanation:
3 - 5 + 4 + 2 × 6
= 3 - 5 + 4 + 12
= 2 + 4 + 12
= 6 + 12
= 18
Please help with this math question thank you!
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.
What is 4501/5 equaled to?
900.2 or 900 1/5
My Step-by-step explanation~basically just divide4501 ÷ 5
=
900.2
then convert to fraction or leave as is900 1/5
-------------------------------------------------------------------------------------------------
Answer:
It would be 900.2
hope this hepled! :)
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:
[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!
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:
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.Can you help find which are functions?
Answer:
A and C are Functions
Step-by-step explanation:
They pass the vertical line test.
The way you know if a set of coordinates are not a function is if they have multiple points that have the same Y value.
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.
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:)
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]
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
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].
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)
Select the correct answer from the drop-down
menu.
Answer:
-30
Step-by-step explanation:
did the test and it is right
Type the decimal equivalent of 6 9/20 .
Answer:
6.45
Step-by-step explanation:
The person on top is correct.
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
please answer this :(
Answer:
X+2 metres. Just use a^+2ab+b^2
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$
Two accounting professors decided to compare the variance of their grading procedures. To accomplish this, they each graded the same 10 exams, with the following results:
Mean Grade Standard Deviation
Professor 1 79.3 22.4
Professor 2 82.1 12.0
What is the alternate hypothesis?
Answer:
Alternative hypothesis:
[tex]\mathbf{H_a = \sigma_1^2 \ne \sigma_2^2}[/tex]
Step-by-step explanation:
Given that:
Sample 1:
Sample size [tex]n_1[/tex] = 10
Sample mean [tex]\overline x_1[/tex] = 79.3
Standard deviation [tex]\sigma_1[/tex] = 22.4
Sample 2:
Sample size [tex]n_2[/tex] = 10
Sample mean [tex]\overline x_2[/tex] = 82.1
Standard deviation [tex]\sigma_2[/tex] = 12.0
To find the alternative hypothesis.
The null and alternative hypothesis can be computed as follows:
Null hypothesis:
[tex]\mathbf{H_o = \sigma_1^2 = \sigma_2^2}[/tex]
Alternative hypothesis:
[tex]\mathbf{H_a = \sigma_1^2 \ne \sigma_2^2}[/tex]
Since, alternative hypothesis is ≠, it shows that it is a two tailed test.
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
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
What is the most profound problem in maths?
No answer needed, just take the points.
Answer:
SWEEEET!!
Step-by-step explanation:
:D
Answer:thx so much I needed them
Step-by-step explanation:
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?
help im stressing and crying
I really need to know what a dependent variable is. Can anyone explain better that google?
Answer:
A variable that depends on one or more other variables. For equations such as y = 3x – 2, the dependent variable is y. The value of y depends on the value chosen for x. Usually the dependent variable is isolated on one side of an equation.
Step-by-step explanation: