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
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
It is approximately 32 miles from Dallas to Fort Worth.
Which number sentence could be used to find f, the number
of feet from Dallas to Ft. Worth.
(A) 1760 x 1/32 = f; because the scale factor is 5280
(B) 32 x 1760 = f; because the scale factor is 5280.
(C)5280 x 1/32 = f; because the scale factor is 5280.
(D)32 x 5280 = f; because the scale factor is 5280.
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:
please answer this :(
Answer:
X+2 metres. Just use a^+2ab+b^2
Select the correct answer from the drop-down
menu.
Answer:
-30
Step-by-step explanation:
did the test and it is right
Juanita drive 40 miles in 48 minutes At this rate, she will drive _______ miles in 6 minutes
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:
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 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$
help im stressing and crying
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.
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! :)
Type the decimal equivalent of 6 9/20 .
Answer:
6.45
Step-by-step explanation:
The person on top is correct.
At a shelter, 35% of the dogs are puppies. There are 200 at the shelter. How many are puppies?
Answer:
Step-by-step explanation:
Percentage of purebred dogs in shelters: 25% Number cats and dogs adopted from shelters each year: 4 million. Percentage of cats euthanized in shelters: 70% Percentage of total shelter intake comprised of cats: Approximately 50% (but in some regions 2/3 of shelter population is cats)
Answer:
70 puppies
Step-by-step explanation:
Find 10% which is 200÷10=20
20*3=60=30%
20÷2=10=5% so 60+10=70 puppies
There are 120 boys in Morris middle school. What is the total number
students in Morris middle school?
Answer:
121
Step-by-step explanation:
trust me i got you wuth that 2016 throwback
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:
Please help with this math question thank you!
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
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 does x = if x multiplied by 7/3 = 1
Answer:
Step-by-step explanation:
X×7/3 =1
X=3/7
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].
Q = x^2 - 15x + 56 = 0
Answer:
x = 8
x = 7
Step-by-step explanation:
Solving x2-15x+56 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -15
C = 56
Accordingly, B2 - 4AC =
225 - 224 =
1
Applying the quadratic formula :
15 ± √ 1
x = —————
2
So now we are looking at:
x = ( 15 ± 1) / 2
Two real solutions:
x =(15+√1)/2= 8.000
or:
x =(15-√1)/2= 7.000
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:
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.
[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!
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?
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 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: