Answer:
the answer is 298
Step-by-step explanation:
Review the following information about vectors q and r.
What is the value of a?
q=(-4,1)
31
r = (a, 3)
7(q + r) = (-35, 28)
-5
==========================================
Work Shown:
q = (-4, 1) is one vector
r = (a,3) is another vector
The resultant vector is
q+r = (-4,1)+(a,3)
q+r = (-4+a,1+3)
q+r = (-4+a,4)
Multiply both sides by 7
7(q+r) = 7*(-4+a,4)
7(q+r) = (7*(-4+a),7*4)
7(q+r) = (-28+7a, 28)
---------------
Since 7(q+r) = (-35, 28), we know that,
(-28+7a, 28) = (-35, 28)
which leads to
-28 + 7a = -35
when we equate the x components of each vector. Let's solve for 'a'
-28 + 7a = -35
7a = -35+28
7a = -7
a = -7/7
a = -1
--------------
Check:
q = (-4,1)
r = (a,3) = (-1,3)
q+r = (-4,1)+(-1,3)
q+r = (-4+(-1), 1+3)
q+r = (-5, 4)
7*(q+r) = 7*(-5, 4)
7*(q+r) = (7*(-5), 7*4)
7*(q+r) = (-35, 28)
The answer is confirmed.
Answer:
D. -1
Step-by-step explanation:
edge test
What is an equation of the line that passes through the point (-2, 2) and is parallel to the line 2x + y = 1?
An equation of the line that passes through the point (-2, 2) and is parallel to the line 2x+y=1 is y=2x+6.
Given that, the equation of a line is 2x+y=1 and the coordinate point is (-2, 2).
What is an equation of the line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line.
In the equation of a line 2x+y=1, slope is 2.
As we know the slopes of parallel lines are equal, that is m1=m2.
Now, put (-2, 2) and m=2 in y-y1=m(x-x1) and simplify.
That is, y-2=2(x+2)
⇒ y-2=2x+4
⇒ y=2x+4+2
⇒ y=2x+6
Therefore, an equation of the line that passes through the point (-2, 2) and is parallel to the line 2x+y=1 is y=2x+6.
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PLEASE HELP ME OUT WITH THIS ONE.
A) 27 units
B) 34 units
C) 42 units
D) 37 units
Kathy is 33 years old. She is 7 years younger than 5 times her daughter's age. The equation,
5x-7= 33, where x equals her daughter's age, can be used to find the age of Kathy's daughter. How
old is Kathy's daughter?
Answer:
Kathy's daughter is 8 years old
Step-by-step explanation:
What we know:
Kathy is 33 years old.
That is 7 years younger than 5 times her daughter's age.
With that, the equation 5x - 7 = 33 can be used to find x.
Step 1:
Move "- 7" to the right side of the equation, and find the opposite of it.
5x = 33 + 7
Step 2:
Add "33" and "+7" to get "40."
5x = 40
Step 3:
Divide both side by "5."
5x/5 = 40/5
x = 8
Thus, Kathy's daughter is 8 years old.
Answer:
8
Step-by-step explanation:
Which quadrilateral has diagonals that are both congruent and perpendicular?
Answer:
Rhombu is the answer
Answeris rhombus
Find the slope of a line that passes through the following
ordered pairs. Reduce to lowest terms.
(-8,-5) (-2, -5)
Answer:
I believe the answer is -6,0
Need Help with this!
Answer: it's about 46.6% for the first card the second card depends on the first card if the first card is even the likelihood of the second being even is 40%, if the first card is odd then the likelihood of the second card being odd too be about 46,6%
I ANSWERED A AND B. I ONLY NEED THE ANSWER TO C. PLEASE HELP :(
Answer:
1.5
Step-by-step explanation:
Please correct me if I'm wrong. :)
PLEASE HELP ME PLEASE!!
Answer:
Is that you in your pfp?
Step-by-step explanation:
Answer:
A then D then C then F thats what I see
Step-by-step explanation:
plz help soon asap............................................
Answer:
0
Step-by-step explanation:
y=mx+b
m=0
Isabella is ordering pizza for a family dinner. If 2 pizzas will feed 4 people, how many pizzas does she need to order for 12 people?
Answer:
She needs to order 6 pizzas.
Step-by-step explanation:
(My bad I thought it was one pizza that fed 4 people not two)
Answer:
6 pizzas
Step-by-step explanation:
2pizza=4 people
12/4=3
3*2=6
Find the slope of the line that passes through (6,1) and (9,8)
Answer:
2 1/3
Step-by-step explanation:
8-1=7
9-6=3
7/3= 2 1/3
PLEASE HELP PLS
Which of the following lineat functions have a rate of change that is greater than 14?
Answer
The third table has a gradient of 20, so third table is one of them.
The other one is the last case, For an hour, Fahim earning $1010 so that is the rate per hour.
Step-by-step explanation:
A manufacturer tests a certain number of the headsets that are produced each day, with approximately 3% of the headsets found defective.
If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects, there is a % chance of finding a defective headset.
If the theoretical model is valid, and 1,000 units of that model are tested, the company would expect the empirical probability to .
Answer:
2.5% chance of finding a defective headset
970
Step-by-step explanation:
3% of the headsets found defective.
If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects,
easy to find percent 273/280=0.975
multiply by 100
97.5 then get 100-97.5=2.5
2.5% chance of finding a defective headset
ok 1,000 units of empirical probability
so the good ones
1,000/100=1
10= 1 percent
10*97=970
970
Empirical probability is the probability based on past experience
Part A
The percentage chance of finding a defective headset is 2.5%Part B
The expected empirical probability is approximately 0.03The reason for arriving at the above values is as follows:
Part A
The known parameters are:The percentage of the daily headset produced the manufacturer found defective = 3%
The number of headset tested by the manufacturer = 280 units
The number of headsets found without defect = 273 headsets
Method:Using the formula for percentage, calculate the percentage defect
The percentage chance of finding a defect = [tex]\mathbf{\dfrac{Number \ of \ dfect }{Number \ of \ Headset} \times 100}[/tex]
Where;
dfect = defect
Solution:The percentage chance of finding a defect = [tex]\dfrac{280 - 273}{280} \times 100 = \mathbf{2.5 \%}[/tex]
The percentage chance of finding a defect = 2.5%
Part B
The known parameters;The theoretical model of the number of defective headset produced = The stated (description) percentage of defective headset produced = 3% defective
The given number of units tested, n(T) = 1,000 units
Method:Calculate expected number of defects and empirical probability using formula
Solution:The expected number of defects, n(D) ≈ 3% of 1,000 = (3/100) × 1,000 = 30
The expected number of defective headset found, n(D) ≈ 30
[tex]The \ 'expected' \ empirical \ probability = P(D) \approx \mathbf{\dfrac{n(D)}{n(T)}}[/tex]
Therefore;
[tex]\mathbf{'Expected' \ empirical \ probability} = P(D) \mathbf{\approx \dfrac{30}{1,000} }= 0.03[/tex]
The expected probability of finding a defect P(D) ≈ 0.03
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Mrs. Jawahir spends $9.45 on 5 greeting cards. Each card costs the SAME amount. How much did she pay for one greeting card?
Answer:
$1.89 for each Card.
Step-by-step explanation:
The answer is 1.89 because 9.45 divided by 5 is 1,89
If an plane can fly around the earth at the equator without stopping. It would have traveled about 24,900 miles. Find the radius of the earth.
Step-by-step explanation:
This equation gives circumference (24900 miles). Knowing this the formula to start off finding radius is
[tex]c=2\pi r[/tex]
we know c(circumference) and we know pi(3.1415926535...)
so move the numbers to isolate r(radius) to look something like this
[tex]\frac{c}{2\pi } =r[/tex]
input the known values then solve.
[tex]\frac{24900}{2\pi } =r[/tex]
[tex]\frac{12450}{\pi } =r[/tex]
[tex]3962.95808... =r[/tex]
(round this to whatever value you are looking for)
Hope This Helps :)
Please help me Solve for r: r/5 = 7
-2
2
35
-35
Which one is the answer
discount mark ups and mark downs! PLZ PKZ HELP DUE IN 10 MINS!!!!!
7. $40 game; 30% off; 5% tax
Answer:
where is the question????
You have a bag with 6 green marbles, 15 blue marbles, 8 red marbles, 1 yellow
marble. What is the probability of pulling out a blue marble?
Answer:
1 / 2
Step-by-step explanation:
Total # of marbles in the bag = 30
Total # of blue marbles in the bag = 15
Probability of pulling a blue marble = # of blue / total # of marbles
Probability = 15 / 30
Simplify = 1 / 2
The circumference of a circular lawn is 110 feet. If you double the radius, what will the new circumference be?
Answer:
220
Step-by-step explanation:
The new circumference of the circle will be 220 feet if the circumference of a circular lawn is 110 feet.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
The circumference of a circular lawn is 110 feet.
2πr = 110
r = 55/π
Double the radius:
R = 2r= 110/π
New circumference = 2πR = 2π(110/π) = 220 feet
Thus, the new circumference of the circle will be 220 feet if the circumference of a circular lawn is 110 feet.
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Helppp!
Three sides of a triangle are 35 cm , 42 cm, and 70 cm . What is the ratio of the sides of the triangle?
A. 5:6
B. 70:84:140
C. 5:6:10
D. 7:6:42
a research company surveys 8000 people the company expects 6000 to respond favorably if there is a percent error of 2.5% what is the Range of people who will respond Favorably to the survey !!!
please help I'm on a test rn and idk what to do !!
Answer:
Least Amount Likley: 7800
Favorable:8200
Step-by-step explanation:
Favorable 8000+2.5%
Least 8000-2.5% this is the range
Answer:
Least Amount Likely: 7800
Favorable: 8200
Step-by-step explanation:
Favorable: [tex]8000+2.5[/tex]% [tex]=8,200[/tex]
Least: [tex]8000-2.5%[/tex][tex]%[/tex]% [tex]=7,800[/tex] this is the range
hope this helps:)
Help PLz ignore three i need help on 4
Answer:
Step-by-step explanation:
Remark
The best way to find the slope is to take the two points that are marked.
(5,3) and (0,-1)
Formula
m = (y2 - y1)/(x2 - x1)
Givens
y2 = 3
y1 = -1
x2 = 5
x1 = 0
Solution
m = (3 - -1)/(5 - 0)
m = (3+1) / 5 = 4/5
the line parallel to the line in the graph would be the new with a slope equal to the given line.
The perpendicular to this line would have a slope of
m * m1 = -1
4/5 * m1 = - 1 Multiply by 5
4 * m = -5 Divide by 4
m = -5/4
A line perpendicular to the given line would have a slope of -5/4
if m*n=-12 and m+n=11 what is m? what is n?
x^2+11x-12=(x+m)(x+n)
Answer:
i think its -10
Step-by-step explanation:
hope im not wrong
Jan and two of her friends raised money by having a bake sale. They split the proceeds. If each person received $32.19, how much money did the girls earn in total at their bake sale? Write an equation and solve it to find the answer.
Answer: 1. Equation =3x = M , where x = money each received and M= total money received.
2.total money from bake sale=$96.57
Step-by-step explanation:
STEP 1
Let the total money receive from proceeds be = M
and let the amount of money each receive after the split = x
Since Jan and her two friends raised the money together, the total proceeds will be calculated using the equation
x+x+x= M
3 x = M ---- Equation
STEP 2--- Solving
if 3 x= M
and x =mount of money each receive after the split=$32.19
Therefore total money from bake sale, M = 3x = 3 x 32.19 = $96.57
Answer:
The last one
Step-by-step explanation:
$96.57
URGENT‼️‼️
3. Find the rate of change represented in the
table.
Answer:
14
Step-by-step explanation:
Using any two ordered pairs, say (2, 17) and (4, 45),
Let,
[tex] (2, 17) = (x_1, y_1) [/tex]
[tex] (4, 45) = (x_2, y_2) [/tex]
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{45 - 17}{4 - 2} [/tex]
[tex] = \frac{28}{2} [/tex]
Rate of change = 14
someone help plz right answer gets brainliest
Answer:
CGIA
Step-by-step explanation:
C is the first line, G is the second, I is the third, and A is the fourth.
I graphed it all. If I helped you, give me brainliest
Round 3.457 to
the tenths place.
Answer:
3.5
Step-by-step explanation:
If you like to round 3.457 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post.
Love, gocry
y=1/3x+2 and on a graph
Using the slope:1/3 and y intercept:2
Which inequality is represented by this graph?
Answer:
The answer is D
Step-by-step explanation:
The line is going to the right side so that means that x must be greater than -53 and the dot is filled in so it is also equal to