1. 157.5108.35
2. 108.35
3. 494.46
4. 233.7
5. 342.16
Step-by-step explanation:
Find the rate of change demonstrated in the graph below.
Answer:
Rate of change = [tex] \frac{9}{2} = 4.5 [/tex].
Step-by-step explanation:
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex].
Use the coordinates of two points on the graph. (Any point can be chosen. We will still arrive at the same rate of change).
Using (2, 9) and (4, 18),
Let,
[tex] (2, 9) = (x_1, y_1) [/tex]
[tex] (4, 18) = (x_2, y_2) [/tex]
Rate of change = [tex] \frac{18 - 9}{4 - 2} = \frac{9}{2} = 4.5 [/tex].
People living in Fairbanks drink 3600 cups of hot chocolate in a day when the temperature is O' Fahrenheit. For each rise of 1"F, their consumption decreases by 120 cups. Questions 14-16 Write an equation that can be used to represent the number of cups, C, of hot chocolate drank as a function of degrees, F, Fahrenheit? C = 3600 - 120F Your answer 14. How many cups would they drink at 5°F?* 5 points Your answer This is a required question 15. How many cups would they drink at 25°F?* 5 points Your answer
Answer:
a. The expression that represents the number of cups of hot chocolate drunk per day as a function of degrees Celsius is
y = -30x + 3600 pr the equivalent y = 3600 - 30x
b. How many cups would they drink at 5 degrees Celsius?
x = 5 --> y = 3600 - 30 X 5 --> y = 3600 - 150 --> y = 3450
c. How many cups would they drink at 25 degrees Celsius?
x = 25 --> y = 3600 - 30 X 25 --> y = 3600 - 750 --> y = 2850
d. Write an equation to determine the temperature if 3000 cups of hot chocolate were consumed in a day.
y = 3000 --> 3000 = 3600 - 30x
e. Solve the equation to find the temperature if 3000 cups of hot chocolate were consumed in a day.
--> 3000 = 3600 - 30x --> 3000 - 3000 + 30x = 3600 - 30x - 3000 + 30x --> 30x + 600 --> 30x/30 = 600/30 --> x = 20
f. Is this answer reasonable? Explain.
It is very reasonable.
At 0 degree C. they drink 3600 cups.
As the temperature increases, hot chocolate consumption decreases.
At 5 degree C. they drink less hot chocolate: 3450 cups.
Since 20 degree C. is even warmer, they should drink even less at 20 degree C., but not as little as the 2850 cups they drink on those very warm 25 degree C. days.
Step-by-step explanation:
We need to name/define variables:
y = number of cups of hot chocolate consumed in a day in Fairbanks.
x = temperature in degrees Celsius
"For each rise of 1 degrees Celsius, their consumption decreases by 30 cups per day."
That tells you that y is a linear function of x, so we should be able to write it as
y=mx + b with some constants for slope, m, and y-intercept, b.
It also tells you that the slope is m=-30.
"People living in Fairbanks drink 3600 cups of hot chocolate per day when the temperature is 0 degrees Celsius."
That gives you the value of y when x=0, which is the y-intercept,
b=3600
We conduct a chi-square test with 6 degrees of freedom and find a test statistic of 20.32. The p-value for this test would be:
Answer: 0.002429
Step-by-step explanation:
Given that:
Degree of freedom = 6
Value of Chisquare test statistic = 20.32
The P value of the Chisquare distribution with a test statistic of 20.32 and a degree of freedom of 6 can be obtained using a Chisquare p value calculator.
P(20.32, 6), at 0.05 the degree of freedom obtained is :
0.002429
This p value shows that result is significant at p < 0.05.
As the P value obtained is lesser than the significance level.
= 0.002429
7 - x = - 5 ??????....
Answer:
is it twelve ?
Step-by-step explanation:
:-|
I need help please .if u know the answer please let me know
The variable n represents the number of scooters in a shipping container. The weight of the container in pounds, including the scooters, can be modeled using the expression 250+23n. How much will the container weigh with 20 scooters in it?
Answer:
710
Step-by-step explanation:
the equation is 250+23n
n=20 so
250+23x20
23 x 20 = 460
250 + 460 = 710
The height of a statue is 276 inches. What is the height of the statue in meters? Round your answer to the nearest hundredth.
Answer:
7 meters
Step-by-step explanation:
One meter is about 40 inches and 276/40 = 6.9
6.9 roundest to the closest tenth is 7
what's 22.95 ÷ 13.5
Answer:
1.7
Step-by-step explanation:
Vanessa used similar triangles to make a design. Which statement about the triangles in the design must be true?
They have corresponding angles that are congruent.
They are the same size and shape.
They have corresponding sides that are congruent.
They are the same size but different shapes.
Answer:
A, C, D
Step-by-step explanation:
I hope this helps!!
Prove that,
(1+sin theta + cos theta) ^2 = 2(1+sin theta) (1+cos theta)
Answer:
Proof below
Step-by-step explanation:
Trigonometric Identities
Before we prove the given identity, we need to recall:
[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc[/tex]
We have to prove that:
[tex](1+\sin\theta+\cos\theta)^2=2(1+\sin\theta)(1+\cos\theta)[/tex]
Let's expand the square on the left side as indicated in the formula above:
[tex](1+\sin\theta+\cos\theta)^2=1^2+\sin^2\theta+\cos^2\theta+2\sin\theta+2\cos\theta+2\sin\theta\cos\theta[/tex]
Recall the fundamental trigonometric identity:
[tex]\sin^2\theta+\cos^2\theta=1[/tex]
Substituting and operating:
[tex](1+\sin\theta+\cos\theta)^2=2+2\sin\theta+2\cos\theta+2\sin\theta\cos\theta[/tex]
Factoring by 2:
[tex](1+\sin\theta+\cos\theta)^2=2(1+\sin\theta+\cos\theta+\sin\theta\cos\theta)[/tex]
Factoring cos θ in the last two terms:
[tex](1+\sin\theta+\cos\theta)^2=2[1+\sin\theta+\cos\theta(1+\sin\theta)][/tex]
Factoring [tex]1+\sin\theta[/tex]
[tex](1+\sin\theta+\cos\theta)^2=2(1+\sin\theta)(1+\cos\theta)[/tex]
Proven
findthe probability that the number of items scanned incorrectly is between and , inclusive, from the next items scanned.
This question is incomplete, the complete question is;
Radio frequency identification (RFID) is an electronic scanning technology that can be used to identify items in a number of ways. One advantage of RFID is that it can eliminate the need to manually count inventory, which can help improve inventory management. The technology is not infallible, however, and sometimes errors occur when items are scanned. The probability that a scanning error occurs is 0.0062.
- find the probability that the number of items scanned incorrectly is between 14 and 25, inclusive, from the next 4600 items scanned.
Answer:
the probability that the number of items scanned incorrectly is between 14 and 25, inclusive, from the next 4600 items scanned is 0.2819
Step-by-step explanation:
Given that;
n = 4600
p = 0.0062
now mean of distribution μ = n × p = (4600 × 0.0062) = 28.52
standard deviation σ = √(np(1-p)) = √(4600 × 0.0062(1 - 0.0062 )) = 5.3238
for normal distribution z-score = (X-μ) / σx
therefore from the normal approximation of continuity correction and binomial distribution;
probability = P(13.5 < X < 25.5)
= P( -2.82 < Z < -0.57 )
= 0.2853 - 0.0024
= 0.2819
therefore the probability that the number of items scanned incorrectly is between 14 and 25, inclusive, from the next 4600 items scanned is 0.2819
Ok need help again. dont understand this stuff
Answer:
x would equal 4.
x−(3−2x)+(4−5x)=−7 =
x−(3−2x)+4−5x =
−2x+1=−7 =
−2x=−8 =
x=4
Sam and nick love to climb rocks Sam starts at 123 below sea level and climbs 237feet. Nick starts at 50 above sea level. How far much nick climb to end up at the same elevations
.
15.
Gil earned these scores on the first three tests in biology this term: 86, 88, and 78. What is the lowest
score that Gil can earn on the fourth and final test of the term if he wants to have an average of at least
83?
The answer would be 80 because 252+x/4 =83 x=80
Hope this helps
Have a great day/night
Feel free to ask any questions
The lowest score that Gil can earn on the fourth and final test of the term if he wants to have an average of at least 80.
What is average?
The ratio of total sum in a given set to all the values in the data set is the mean value, which is the definition of the average. In mathematics, the central value of the a set of data is expressed as the average of a list of data. It is defined mathematically as the ratio of the total number of data points to a number of units in the list. In terms of statistics, the term "mean" also refers to the average of a particular set of numerical data. The average of 2, 3, and 4 is, for instance, (2+3+4)/3 = 9/3 = 3. The central value of 2, 3, and 4 in this instance is 3, so. Finding the mean value of the a group of numbers is the definition of average.
According to question,
[tex]\frac{86+88+78+x}{4} = 83[/tex]⇒ [tex]x = 80[/tex]
Hence, Gill can score 80.
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A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 350 nails. The contractor bought 5 more large boxes than small boxes, which altogether had 2550 nails. Determine the number of small boxes purchased and the number of large boxes purchased.
Answer:
7 large boxes and 2 small boxes
Step-by-step explanation:
if you take 350 and times it by 7 you get 2450 then add 2 small boxes which are 50 each and you have 2550 and 5 more large boxes then small
The contractor purchased 2 no. of small boxes and 7 large boxes.
What is a linear equation ?A linear equation is an algebraic equation of highest degree 1.
According to the given question A contractor needs to buy nails to build a house.
The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 350 nails.
The contractor bought 5 more large boxes than small boxes,So assuming he bought x no. of small boxes.
∴ He bought (x+5) nos. of large boxes.
So, 50(x) + 350(x+5) = 2550.
50x + 350x + 1750 = 2550.
400x = 2550 - 1750.
400x = 800.
x = 2.
∴ Large no. of boxes he purchased is 7.
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marias dog weighs 6 times as much as the rabbit total they weigh 35 lbs
what does the dog weigh
Answer:
210 is the answer
Answer:
6x + x = 35
Step-by-step explanation:
7x = 35
x = 5
6*5= 30 ibs
it is dog weight
make it braintliest please
A written contract is not legally binding until _____.
a.
money is exchanged
b.
it is signed by all parties involved
c.
all requirements of the contract have been fulfilled
d.
it is signed by all parties involved and notarized by an authorized notary official
A written contract is not legally binding until it is signed by all parties involved. Option (B) is correct.
What do you mean by Money?Money is a good that is widely acknowledged as a means of economic exchange. It serves as the medium for expressing values and pricing. It is the primary indicator of wealth since it moves from person to person and country to country, allowing trade.
A pledge made to another party stating whether they will or won't carry out a specific activity in the future. For instance, I'll give you $3,500 in exchange for your car. of oneself. In most cases, it reflects the conditions of the offer—a declaration made through words or deeds that both parties accept the terms of the contract.
A contract must contain several characteristics in order to be legitimate and recognized by the common law, including an offer, acceptance, consideration, the desire to establish legal relations, authority and ability, and certainty. A contract cannot be enforceable by the courts and is not legally binding if it lacks these components.
Therefore, Option (B) is correct. A written contract is not legally binding until it is signed by all parties involved.
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People in a public library were polled on how many books they read in the last five years. Preliminary survey results indicate the sample standard deviation is 18.61 books. How many subjects are needed to estimate the mean number of books read by library users in the last five years within four books with 99% confidence
Answer:
144
Step-by-step explanation:
From information available
Margin of error = 4
S = 18.61
ME = Z-alpha/2 x s/√n
Alpha = 1-0.99
= 0.01
Alpha/2 = 0.01/2
= 0.005
Z-alpha/2 =2.576
Putting into the formula we have
4/1 = 2.576 x 18.61/√n
When we cross multiply
We have
√n = (2.576 x 18.61)/4
√n = 11.98484
n = 11.98484²
n = 143.63
n = 144
144 subjects are needed to do this estimation
A coin is tossed and a six​-sided die numbered 1 through 6 is rolled. Find the probability of tossing a head and then rolling a number greater than 5.
Answer:
1/12Step-by-step explanation:
This type of probability is independent i.e the occurrence of one does not affect the other.
Probability = expected outcome/total outcome
For a coin:
The total sample space = {H, T} i.e 2
The probability of tossing a head will be:
P(a head) = 1/2
For a die:
Sample space S = {1, 2, 3, 4, 5, 6}
Total number of sample space n(S) = 6
If a number greater than 5 is rolled, the event outcome will be E = {6}
Pr(S>5) = n(E)/n(S)
Pr(S>5) = 1/6
The probability of tossing a head and then rolling a number greater than 5 is expressed as:
Pr(H and S>5) = Pr(H) * Pr(S>5)
Pr(H and S>5) = 1/2* 1/6
Pr(H and S>5) = 1/12
Hence the probability of tossing a head and then rolling a number greater than 5 is 1/12
8 with the power of 2 = -3 with the power of 2 = 9
Answer:
okay I will explain but where is that's knid of question
Please with a cherry on top help me solve this. I don’t understand, I will give you brainliest. Very appreciate.
Answer:
P = 2l + 2w
Step-by-step explanation:
Simplify on both sides, then move P to itself.
P-2w / 2 = l
*2. *2
P-2w=2l
+2w +2w
P=2l + 2w
PLEASE HELP!!
2. Alice has a 401K with an APR of 2.5% that compounds monthly. She plans on contributing
$500.00 a month and her company will match her contribution for a total of $1,000.00 a
month contributed. How much money will be in the account at the time of her retirement
(age 65)? Show all calculations.
Answer:
multiply 12x65, then multiply that by 1,000 to get 780,000
Step-by-step explanation:
please help me solve this!
Please help ! Order the following from least to greatest
Answer
Square root of 8, 3.14, pi, square root of 16, 5 3/4
Step-by-step explanation:
plsss yelp me u don’t have time
A toy cannon ball is launched from a cannon on top of a platform. the equation h(t)=-5t^2+15t+10 gives the height h, in meters, of the ball t seconds after it is launched.
A) Does the ball reach a height of 24m
B)Explain your answer
ASAP
Hello,
This is a parabola.
The vertex is for x= 15/2*5=3/2, and then the maximum is reached for
[tex]h(3/2)=-5(9/4)+15(3/2)+10=\dfrac{-45+90+40}{4}=\dfrac{85}{4}[/tex]
As 85/4 < 24 the ball does not reach a height of 24 m
thanks
The ball does not reach a height of 24 m.
What is Parabola?Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.
Given:
The height of the toy cannon all launched is expressed as
h(t)=-5t²+15t+10
a) As, the given equation forms a parabola, the vertex is
t = 15/2 x 5
t = 3/2
So, it reached the maximum height at 3/2
h(3/2) = -5(9/4)+ 15 (3/2) + 10
h(3/2) = 85/4
So, 85/4 < 24 the ball does not reach a height of 24 m.
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Simplify 20 ÷ 4+6• 2.
Answer:
17
Step-by-step explanation:
The answer is 17 because the operation PEMDAS
Answer:
17
Step-by-step explanation:
20/ 4+6x2 can be simplified. First, you can divide 20 by 4 because of the order PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction) 20 divided by 4 is 5. You can then multiply 6 and 2 which gives you 12. Therefore, your equation is down to 5+12. You can add those two and you get 17 :) Hope this helps!! :D ~Happy Halloween~
A bill for dinner at a restaurant is $91.42.
Lucy wants to leave a 15% tip. Which is a
good estimate for the tip?
Answer:
f
Step-by-step explanation:
1.4.AP-6 3 Question Help The calorie count of a serving of food can be computed based on its composition of carbohydrate, fat, and protein. The calorie count C for a serving of food can be computed using the formula C = 3h + 13f + 7p, where h is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving. Solve this formula for f, the number of grams of fat contained in a serving of food.
Answer:
f = (C-3h-7p)/13Step-by-step explanation:
Given the equation of calorie count of food computed by:
C = 3h + 13f + 7p
h is the number of grams of carbohydrate contained in the serving,
f is the number of grams of fat contained in the serving, and;
p is the number of grams of protein contained in the serving
We are to make f the subject of the formula as shown:
C = 3h + 13f + 7p
13f = C-3h-7p
Divide through by 13
13f/13 = (C-3h-7p)/13
f = (C-3h-7p)/13
Hence the formula for f, the number of grams of fat contained in a serving of food is f = (C-3h-7p)/13
You play a video game for 20 minutes. You lose 80 points. What integer represents your change in points per minute?
Answer:
4 points per minute
Step-by-step explanation:
Divide to find the rate of change.
80 / 20 = 4 points per minute
Best of Luck!
Answer:
-4
Step-by-step explanation:
It says you LOSE points so it is -80
-80 / 20 = -4
