If f(x) = 6x - 4, what is f(x) when x = 8?
HELP ME YALL I HAVE 20 MINS TO DO THIS
In september of 2021, gas cost $3.17 on average in the united states.by june 2022, the cost of gas had increased by 58%.how much did gas cost in june 2022?
The average cost of gas in June 2022 is $5.01
How much did gas cost in june 2022?In September of 2021, gas cost $3.17 on average in the United States.
By June of 2022, the cost of gas had increased by 58%, so we can calculate the increase as:
Increment = 3.17 * 0.58 = 1.84
Adding the increase to the starting price:
3.17 + 1.84 = 5.01
So in June of 2022, gas cost $5.01 on average in the United States.
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A baker bought some flour. He used begin mathsize 14px style 2 over 5 end style of the flour to make bread and used the rest to make batches of muffins. If he used 16 lb. of flour making bread and begin mathsize 14px style 2 over 3 end style lb. for each batch of muffins, how many batches of muffins did he make?
Represent the division expression using unit form.
Answer:
I think the question you are trying to say is . . . A baker bought some flower. He used 2/5 of the flour to make bread and used the rest to make batches of muffins. If he used 16lb of flour making bread and 2/3 lb for each batch of muffins, how many batches of muffins did he make?
So I have provided the answer and explanation below.
Step-by-step explanation:
He make 36 batches of muffins.
Consider the provided information.
It is given that he used 2/5 of the flour for bread, and he used 16lbs for bread.
Let total amount of flour is x lbs, now convert above statement into mathematical form.
2/5 x = 16
2x/5 = 16
x = 5 • 16/2 = 80/2
x = 40
Therefore, he bought 40 lbs of flour.
He used 16 lb out of 40.
So for muffins he left with 40-16=24 lbs of flour.
It is given that he used 2/3 lb. For each batch of muffins.
Divide 24 with 2/3 lb.
24/2/3 = 24 • 3/2
72/2 = 36
Hence, he make 36 batches of muffins.
A group of people surveyed about whether they prefer to bike or run to exercise, and whether they prefer summer or winter weather. The results are in the table
The value that will be in the blank would be = 165
The percentage that will like to run that prefer summer = 60%
What percentage would prefer to run in summer?On the given table, the total amount of individuals in each column should be the same.
Therefore, for the bike column = 231 + 87 = 318
Therefore the number of people that will like to home and also prefer the winter weather would be = 318-153 = 165.
To find the percentage that will like to run that prefers summer, the following is carried out;
The number of people that will like to run = 231
The number of people that will like to bike = 153
Total = 153+231 = 384
Therefore percent = 231/384×100/1
= 23100/384
= 60%
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Marist scholars ate a total of 16 bananas for snack. If the 34 kids in Bing-BU each ate a half of a banana for snack, which class ate more total bananas
Answer:
well 34/2= 17 so the kids in Bing-BU ate more total bananas
Step-by-step explanation:
Which of the following statements
about the graph of the polynomial
function f(x)= x³ + bx² cx +d do you
believe must be true?
1. It intersects the vertical axis at
one and only one point.
2. It intersects the x-axis in at most
three points.
3. It intersects the x-axis at least
once.
4. As x→∞, f(x)→∞.
5. It has at most two turns.
6. Only 1, 2 and 3 are true.
7. They are true except alternative
5.
8. All these alternatives are true.
The correct answer is option 6: Only 1, 2 and 3 are true.
Following are statements about the graph of the polynomial function f(x) = x³ + bx² + cx + d:
1) It intersects the vertical axis at one and only one point.
This is true because the vertical axis is the y-axis and the coefficient of x³ is 1, which means that the degree of the polynomial is odd and it must intersect the y-axis at only one point.
2) It intersects the x-axis in at most three points.
This is true because the degree of the polynomial is 3, which means it can intersect the x-axis at most 3 times.
3) It intersects the x-axis at least once.
This is also true because the degree of the polynomial is odd and as x approaches infinity or negative infinity, the value of the function will also approach infinity or negative infinity, which means it must cross the x-axis at least once.
4) As x→∞, f(x)→∞.
This is true because the coefficient of the term with the highest degree (x³) is positive, which means that as x approaches infinity, the value of the function also approaches infinity.
5) It has at most two turns.
This is false because a polynomial of degree 3 can have at most 2 turns or points of inflection, but it is not necessarily the case for every polynomial of degree 3.
Therefore, the correct answer is option 6: Only 1, 2 and 3 are true.
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Solve for A if is 3.14 and R = 3
Answer:
A = 28.26
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Equation: A = πr²
Given: π = 3.14, r = 3
Step 2: Evaluate
Substitute: A = 3.14(3)²Exponents: A = 3.14(9)Multiply: A = 28.26You roll two fair 6-sided dice with sides labeled 1, 2, 3, 4, 5, 6. What is the probability of rolling a sum that is at most 7
The probability of rolling a sum that is at most 7 = 1/6
What is probability and example?
Probability = the number of ways of achieving success. the total number of possible outcomes.For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail).P(heads) = ½ .sample space (S) = 36
The probability of rolling a sum that is at most 7
No of sample space = { (1,6) ,(2,5) ,(3,4), (4,3),(5,2),(6,1)}
n(s)/ total sample space = 6/36
= 1/6
Therefore, he probability of rolling a sum that is at most 7 = 1/6
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You are a contestant on a game show called “Bargain or No Bargain.” You are presented with three briefcases, which contain rewards of $700,000, $1,000, and $100. The host of the show says you can either open one random case and keep the amount inside, or you can accept a guaranteed award of $240,000. What is the mathematically correct decision, and why?
A.
Take the $240,000, because it is greater than the expected value of the briefcases.
B.
Choose a briefcase, because the expected value is greater than $240,000.
C.
Choose a briefcase, because the expected value is less than $240,000.
D.
Take the $240,000, because it is less than the expected value of the briefcases.
22. What is the average(arithmetic mean) of all the integers
from -39 to 40, inclusive?
This range contains 80 numbers (40 in 1-40, and another 40 in -39-0).
We have
S = 1 + 2 + 3 + … + 38 + 39 + 40
S = 40 + 39 + 38 + … + 3 + 2 + 1
==> 2S = (1 + 40) + (2 + 39) + … + (39 + 2) + (40 + 1)
==> 2S = 40 × 41
==> S = 820
and
T = 0 + 1 + 2 + … + 37 + 38 + 39
T = 39 + 38 + 37 + … + 3 + 2 + 1
==> 2T = (0 + 39) + (1 + 38) + … + (38 + 2) + (39 + 0)
==> 2T = 40 × 39
==> T = 780
The average of the numbers in this range is equal to the total divided by the amount of numbers in the range, so
average = (40 + 39 + … + 1 + 0 + (-1) + … + (-38) + (-39))/80
average = (S - T )/80
average = (820 - 780)/80
average = 40/80 = 1/2
What’s 3x(7x2)= 42 I need help plzzz
Answer:
x = 1 (?)
i dont rlly know
what is the area and perimeter of the figure with the given vertices? (7,8) , (-5, -8) , (7,-8) , (-5,8)?
Answer:
perimeter: 56 unitsarea: 192 square unitsStep-by-step explanation:
We assume you're interested in the convex polygon, so the given vertices are not listed in order around the figure.
The figure is 12 units by 16 units, so has a perimeter of ...
P = 2(L +W)
P = 2(16 +12) = 56 . . . . units
and an area of ...
A = LW
A = (16)(12) = 192 . . . . square units
Please answer these 3 questions
The Volume of the box is 12 cubic unit.
We have,
Height = 1 unit
Width = 2 unit
Length = 6 unit
So, Volume of box
= l w h
= 1 x 2 x 6
= 12 cubic unit
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~Giving brainliest!~ (im really desperate right now and very overwhelmed so im asking ANYONE to help me answer this! thank u.
Answer:
11. 1.6° C
12. 1.3 million profit
Step-by-step explanation:
11. the temperature decreased 5.6° C over those 3.5 hours.
5.6/ 3.5 = 1.6
12. The company loss 4.8 million in 4 years and
4.8 million - 3.5 million would be 1.3 million.
How do you find the length of a missing side when you have 2 similar angles?
A neighborhood is trying to set up school carpools, but they need to determine the number of students who need to travel to the elementary school (ages 5-10), the middle school (ages 11-13), and the high school (ages 14-18). A histogram summarizes their findings:
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 3. Bar 2 is 11 to 13 years old and has a value of 7. Bar 3 is 14 to 18 years old and has a value of 4.
Which of the following data sets is represented in the histogram?
{3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4}
{5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18}
{5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13}
{3, 5, 10, 11, 13, 7, 18, 14, 4}
The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)
The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.
The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.
Therefore, the data set that is represented in the histogram is:
{3, 7, 4}
None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)
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The selling price of a watch is rs 220. If 10% profit has been included in the marked price of the watch, what is the marked price??
Answer:
22 is 10 of 220
Step-by-step explanation:
hope it help
You are buying a used car which costs $10,200. You plan to sell the car after keeping it for 5 years. Research shows that this car will lose value at a rate of 8% per year. How much will the car be worth after 5 years?
Answer:
$6,722.63
Step-by-step explanation:
Now: $10,200
In 1 year: 0.92 × $10,200 = $9,384
In 2 years: 0.92 × $9,384 = $8,633.28
In 3 years: 0.92 × $8,633.28 = $7,942.6176
In 4 years: 0.92 × $7,942.6176 = $7,307.208192
In 5 years: 0.92 × $7,307.208192 = $6,722.63
Answer: $6,722.63
Answer:
$6,722.63
Step-by-step explanation:
Using this formula A=P(1-d/100)^n where
A = Amount
P = Principal
d = percent
n = number of year
A=P(1-d/100)^n
A = 10,200(1-8/100)⁵
A = 10,200(1-0.08)⁵
A = 10,200(0.92)⁵
A = 10,200(0.6591)
A= $6,722.63
Which answer best describes the shape of this distribution?
bell-shaped skewed left
8 9 10 11 12 13 14 15 16 17
s § 10 11
skewed right
uniform
Next
Answer:
skewed right
Step-by-step explanation:
I took the k12 test and I got the answer right
what is 10 + 8x = 10003
Answer:
Step-by-step explanation:
10 + 8x =10003
8x = 10003 - 10
8x = 9993
X = 9993 ÷ 9
Step-by-step explanation:
Rearrange = 10 + 8 x =10003
8x + 10 = 10003
subtract both= 8x + 10 = 10003
8x + 10 -10= 10003-10
simplify= subtract the number 8x = 999
Divide the both number = 8x = 9993
8x/8 =993/8
And them simplify it again = x = 9993/8
Please please Help!
Need Answer to Multiple Choice! Brainliest!
The scores on the ACT exam are normally distributed with a mean of 21 and a standard
deviation of 5. If we selected a random sample of 37 test takers, what is the probability that the
sample mean of those test takers who would be less than a 19.8?
a) .0721
b) .5000
c) .0808
d) .0582
Answer:
a) 0.0721
Step-by-step explanation:
Let the random variable X be the score on the ACT exam.
Given:
mean (μ) = 21standard deviation (σ) = 5Therefore, the random variable X is normally distributed:
\(X \sim\textsf{N}(21,5^2)\)
Z-score for a sample mean
\(\textsf{If }\: X \sim\textsf{N}(\mu,\sigma^2)\:\textsf{ then }\: \overline{X} \sim \left(\mu,\dfrac{\sigma^2}{n}\right) \implies Z=\dfrac{\overline{X}-\mu}{\sigma / \sqrt{n}} \sim \textsf{N}(0,1)\)
\(\textsf{then the test statistic is}: \quad z=\dfrac{\overline{x}-\mu}{\sigma / \sqrt{n}}\)
Given:
\(\overline{x}\) = 19.8μ = 21σ = 5n = 37Therefore, the test statistic is:
\(\implies z=\dfrac{19.8-21}{5/ \sqrt{37}}=-\dfrac{6\sqrt{37}}{25}=-1.459863007=-1.46\:\: \sf (3\:s.f.)\)
Using the Z-tables to find the probability:
\(\implies \text{P}(Z \leq -1.46)=0.0721\)
Can someone help me with this?
50 Points!!
Line c has an equation of y = -x - 3. Line d, which is parallel to line c, includes the point (-1, 1). What is the equation of line d? 5 Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
The equation of line d is equal to y = -x.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.In Geometry, two (2) lines are parallel under the following conditions:
m₁ = m₂ ⇒ -1 = -1
At data point (-1, 1), a linear equation of this line can be calculated in point-slope form as follows:
y - 1 = -1(x - (-1))
y = -x - 1 + 1
y = -x
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An oil storage tank is a cylinder with a height of 50 feet and a diameter of 20 feet. What is the volume of the tank? Use 3.14 for Pi.
Answer:
15707.96ft³
Step-by-step explanation:
HELP PLS!!! 50PTS!!! An explanation is welcome!
Answer:
Its 2 on the x axis
Step-by-step explanation:
The 2000 CDC growth charts were developed using a reference population of infants. A pediatrician looks up one of the charts and finds that the 5th percentile for weights of baby boys at 10-1/2 months is 16.7 pounds. This means that ______of the 10-1/2-month-old baby boys in the reference population weigh 16.7 pounds or less, and ______of these baby boys weigh 16.7 pounds or more.
This means that 5% of the 10-1/2-month-old baby boys in the reference population weigh 16.7 pounds or less, and 95% of these baby boys weigh 16.7 pounds or more.
Percentile WeightThe determination is based on the definition of a percentile. A percentile is a value below which a certain percentage of the data falls. So, in this case, if a weight of 16.7 pounds is at the 5th percentile for 10-1/2-month-old baby boys, then 5% of the baby boys in the reference population have a weight of 16.7 pounds or less. This also means that the remaining 95% of the baby boys in the reference population have a weight of more than 16.7 pounds.
The calculation of percentiles is based on the ranking of the data set. The data is first sorted in ascending order and then divided into 100 equal parts, with each part representing a percentile. The value at each percentile is the value below which a certain percentage of the data falls.
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Which of the following is not a function for all values of x?
Answer:
f(X) = ( - X) ½
is the answer
pls brainliest
Solve for b b+4.22=7.08
Steps to solve:
b + 4.22 = 7.08
~Subtract 4.22 to both sides
b = 2.86
Best of Luck!
HELP!!!!!!!!!!!!!!!!!!
Answer:
D 0.89275
Step-by-step explanation:
how do u solve it step by step?
Answer:
(8,5)(0,-3)
Step-by-step explanation:
-y=-x+3
y=x-3
Substitute for y:
(x-3)^2-2x=9
x^2-6x+9-2x=9
x^2-8x=0
x(x-8)=0
x=0,8
if x=0,
0-y=3
y=-3
if x=8
8-y=3
-y=-5
y=5
Answer :
x - y = 3
x = 3 + y
y^2 - 2x = 9
y^2 - 2(3+y) = 9
y^2 - 2y -6 -9 = 0
y^2 - 2y -15 = 0
Factorize
y = -3 y = 5
when y = -3
x -(-3) = 3
x = 0
when y = 5
x - 5 = 3
x = 8