9514 1404 393
Answer:
√6 -1 ≈ 1.44949√6 +1 ≈ 3.44949Step-by-step explanation:
Let x represent the smaller number. Then the sum of squares is ...
x² +(x+2)² = 14
2x² +4x +4 = 14 . . . eliminate parentheses
2x² +4x -10 = 0 . . . put in standard form
x² +2x -5 = 0 . . . . . divide by 2 (because we can)
(x +1)² -6 = 0 . . . . . complete the square
x +1 = √6 . . . we want the positive root
x = -1 +√6
x+2 = 1 +√6
The numbers are √6±1.
41. Suppose a family drives at an average rate of 60 mi/h on the way to visit relatives and then at an average rate of 40 mi/h on the way back. The return trip takes 1 h longer than the trip there.
a. Let d be the distance in miles the family traveled to visit their relatives. How
many hours did it take to drive there?
b. In terms of d, how many hours did it take to make the return trip?
C. Write and solve an equation to determine the distance the family drove to see
their relatives. What was the average rate for the entire trip?
Answer:
The answer is below
Step-by-step explanation:
a) Let x represent the time taken to drive to see the relatives and let d be the distance travelled to go, hence:
60 mi/h = d/x
d = 60x
When returning, they still travelled a distance d, since the return trip takes 1 h longer than the trip there, therefore:
40 mi/h = d/(x+1)
d = 40(x + 1) = 40x + 40
Equating both equations:
60x = 40x + 40
60x - 40x = 40
20x = 40
x = 40/20
x = 2 h
The time taken to drive there = x = 2 hours
b) The time taken for return trip = x + 1 = 2 + 1 = 3 hours
c) The distance d = 60x = 60(2) = 120 miles
The total distance to and fro = 2d = 2(120) = 240 miles
The total time to and fro = 2 h + 3 h = 5 h
Average speed = total distance / total time = 240 miles / 5 h = 48 mi/h
Sandra is making decorations for the school dance out of construction paper. Each decoration uses 223 2 2 3 sheets of paper. Sandra notices that she only has 1012 10 1 2 sheets left.
Answer:
Step-by-step explanation:
CACA POOP
Answer:
464
Step-by-step explanation:
hwe
-3/7 % -1/2 =??
What is the answer to this equation
Answer:
-0.21428571428
What is the slope of the line that passes through the points (4,2) and (-16, -10)?
Write your answer in simplest form.
Answer:
3/5
Step-by-step explanation:
Answer:
Yup the answer is 3/5 :))
Step-by-step explanation:
Take your time.
Find the quotient:
-37.44 ÷ 4.8
Options
1. -9.2
2. -7.8
3. 5.8
4. 7.8
Check reasonableness by estimating:
-37.44. 4.8
Options Options
1. -38. 1. -5
2. -35. 2. -4
3. 30. 3. 4
4. 38. 4. 5
Estimated quotient:
Options
1. -10
2. -7.6
3. -5
4. 7.6
Answer:
1. 7.8.
2. 38. 4.5
3. 7.6.
Jecimals
r the course of 6 days, Tonda ran 17.22 miles. She ran the same
Clear
Undo
Redo
Answer:
potatoes
Step-by-step explanation:
Explain why having low statistical power could be considered a limitation for a statistical tost
Answer:
Low statistical power could be considered a limitation in statistics because statistical power refers to the probability of correctly finding adequate support for a research hypothesis.
If a statistical test has low power, then it is limited in finding adequate support.
Lowest common multiple of 8 and 6
Answer:
answer is 24 hope this helps! :)
Dewayne has $20 dollars for the weekend. He spent 3/5 of his money at the movies and 1/3 of his money bowling. How
much money does he have left over after the weekend?
a rising unemployment rate affect a society by:
A. discouraging busissnesses from investing
B.making it harder for citizens to find jobs
C. causing inflation rates to rise rapidly.
D.reducing the value of a country's currency
Answer: B
Step-by-step explanation:
just took the quiz
A rising unemployment rate affect a society by making it harder for citizens to find jobs.
What is Unemployment?The term unemployment refers to a situation where a person actively searches for employment but is unable to find work.
As, we know that unemployment means the shortage of jobs for the citizens.
So, rising unemployment rate in society creating trouble for the citizens to find jobs.
Learn more about unemployment here:
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5d+1/2=d-4 section 2.04
Answer: d = -9/8
Steps: 5d + ½ = d - 4
Subtract ½ from both sides: 5d + ½ - ½ = d - 4 - ½
Simplify: 5d = d - 9/2
Subtract d from both sides: 5d - d = d - 9/2 - d
Simplify: 4d = -9/2 ÷ 4
Simplify: d = -9/8
PLz mark brainliest:)
Who can help me with 9th grade math and got zoom?
Answer:
Me, I'm in 12th grade so sure. ^‿^
Step-by-step explanation:
show work for each abcd
By definition, two rays labeled Ab and AC must exist with which of the following conditions?
Answer:
A. The two rays form angle CAB.
C. The two rays make a line AC.
D. The two rays intersect at point A.
E. The two rays are perpendicular.
This is shown in figure 1 in the attachment provided.
Step-by-step explanation:
The given rays, [tex] \overrightarrow{AB} [/tex] and [tex] \overrightarrow{AC} [/tex] shows that both rays have a common endpoint A.
Therefore, the following conditions exists:
A. "The two rays form angle CAB."
Take a look at figure 1 in the attachment provided below. The two rays meet at point A to form angle CAB.
C. "The two rays make a line AC."
As shown in figure 2 in the attachment provided below, [[tex] \overrightarrow{AB} [/tex] and [tex] \overrightarrow{AC} [/tex] have a common end point, A, and they extend in opposite directions to form a straight line AC. [tex] (\overline{AC}) [/tex]
D. "The two rays intersect at point A."
This is shown in figure 1 in the attachment provided.
E. "The two rays are perpendicular."
Since [tex] \overrightarrow{AB} [/tex] and [tex] \overrightarrow{AC} [/tex] intersect at point A, they are perpendicular to each other, forming a right angle at point A. This we can see in figure 2 provided in the attachment.
PLEASE PLEASE HELP ME I WILL GIVE BRAINLIEST
options box one:
graph a
Graph B
Options for box two:
1. appears to decrease more
2. Is less
3. Decreases less
4. Appears to decrease less
5. Decreases more
Answer:
1) graph b
2)appears to decrease more
Step-by-step explanation:
Which of the following numerators would appear in the numerator of the quadratic formula when solving the following equation? 2x 2 + 5x - 12 = 0
A man walks along a straight path at a speed of 4 ft/s. A searchlight is located on the ground 20 ft from the path and is kept focused on the man. At what rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight
Answer:
0.128rad/sec
Step-by-step explanation:
Let x represent the between the man and the point on the path
θ = the angle
dx/dt = 4 ft/s
dθ/dt = rate is the searchlight rotating when the man is 15 ft from the point on the path closest to the searchlight
tan θ = x/20 ft
Cross Multiply
20tan θ = x
dx/dt = 20sec² θ dθ/dt
dθ/dt = 1/20 × cos² θ dx/dt
dθ/dt= 1/20 × cos² θ × 4
dθ/dt = 1/5 × cos² θ
Note : cos θ = 4/5
dθ/dt = 1/5 × (4/5)²
dθ/dt = 16/125
dθ/dt = 0.128rad/sec
There are 150 calories in 12 ounces of Dr. Pepper. How
many calories are in 8 ounces of Dr. Pepper?
Answer: 100 Ounces
Step-by-step explanation: You will have to divide 150 by 12 to see how many calories are in 1 ounce which you should get 12.5 then you multiply 12.5 by how ever many ounces you need to figure out which is 8 ounces in the problem. So in conclusion your final answer should be 100! ( If this was helpful please mark me down for brainliest) Thank you and have a great day!
Answer:1 hundo
Step-by-step explanation:
3.
Long's Coffee Shop sells a refill mug for $8.95 Each refill costs $1.50 last month lanice spent $26.95 on
a mug and refills. How many refills did she buy?
Answer:
12
Step-by-step explanation:
So since the total was 26.95 subtract the base cost of the mug which is 8.95
26.95-8.95=18.00
Then since each refill is 1.50 divide by 1.50
18/1.50=12
Lanice bought 12 refills last month
Mr. Thompson sold 4 vacuum cleaners in the first month. In the second month, he sold 3 times as many vacuum cleaners as the first month. In the third
month, he sold 5 times as many vacuum cleaners as the first month.
a. How many vacuum cleaners did Mr. Thompson sell in the three months?
bers
Mr. Thompson sold ____
vacuum cleaners in the three months.
b. He sold the vacuum cleaners for $435 each. How much money did Mr. Thompson earn? (Be sure to put a comma in your answer.)
bers
Mr. Thompson earned $ ________
Answer: $15,660 & 32 v.c
Step-by-step explanation:
6th grade math i mark as brainly
Answer:
i got B and D
Step-by-step explanation:
-14 is less then -8 and is left of -8 on a number line.
Mid point of 11.29 and 11.30
Answer:
11.295
11.29 and 11.30 are already two digit decimals, we can not get another 2 digit decimal. We have to make a 3 digit decimal.
11.295 falls between 11.29 and 11.30.
Hope this helps you!
Answer:
11.295
Step-by-step explanation:
cmon now. That was pretty easy lol
Please help me!
You have the opportunity to lease space for your business. The property owner has proposed a four year lease with a rent of $29,000 per year. If a proposed rent increase is 2% per year what will the annual rent be at the end of four years? A.)$13,200 B.)$22,000 C.)$31,390 D.)$32,440
Answer:
C.)$31,390
Step-by-step explanation:
You can use the formula to calculate the future value to find the answer:
FV=PV*(1+i)^n
FV= future value
PV= present value= 29,000
i= interest rate=2%
n= number of periods of time= 4
Now, you can replace the values in the formula:
FV=29,000*(1+0.02)^4
FV=29,000*(1.02)^4
FV=31,390
According to this, the answer is that the annual rent would be $31,390 at the end of four years.
The length of a rectangle garden is 5 m greater than the width the area of the garden is 66 m² find the dimensions of the garden
According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households.
a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume?
Integers to ______.
b. Find to 3 decimal places the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables. Use the binomial probability distribution formula.
Probability = ______.
Answer:
(a) S = {0, 1, 2, ..., 10}
(b) 0.256
Step-by-step explanation:
It is provided that, 74% of households said that they have never purchased organic fruits or vegetables.
(a)
X = the number of households in a random sample of 10 who have never purchased organic fruits or vegetables.
X follows a binomial distribution.
The sample space of X is:
S = {0, 1, 2, ..., 10}
(b)
Compute the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables as follows:
[tex]P(X=7)={10\choose 7}(0.74)^{7}(1-0.74)^{10-7}[/tex]
[tex]=120\times 0.121513\times 0.017576\\\\=0.25628549856\\\\\approx 0.256[/tex]
Thus, the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is 0.256.
If one root of the equation
Answer:
Where is the question...
Which answer is it? I dont get it
Answer:
10% of the answer should be 6
Step-by-step explanation:
i have a test and only have an hour please hurry!
90 / 3* (9 +6)=?
Answer:
450
Step-by-step explanation:
9+6= 15
90/3= 30
30*15=450
Over 4 months, Ms. Berg wrote 4 equal checks totaling $250 to pay for her salon services. How many did she withdraw from her account to pay for her services?
Answer:
$62.50 because
Step-by-step explanation:
250÷4=62r2
62.50•4=250
Ms. Beg withdraw $62.5 from her account to pay for her services.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Ms. Berg wrote 4 equal checks totaling $250 to pay for her salon services.
to with
So, to withdraw from the account to pay for services each month
= 250/4
= 125/2
= 62.5
Hence, she withdraw $62.5 from her account to pay for her services.
Learn more about unitary Method here:
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Ellie bakes 12 muffins everyday since Monday. Jacob said that on Friday, she would be able to bake 72 muffins in total. Is Jacob right? Yes or no, explain. :)
