The translated function is g(x)= 8x+0
What is Function?
A relation between a collection of inputs and outputs is known as a function. A function is an association between inputs in which each input is connected to precisely one output. A domain, range exists for every function.
An example of a rule is a function, which produces one output for a single input.
Given:
f(x)= 8x - 10
Now, translation 10 units up
Thus, g(x)= f(x) + 10
g(x)= 8x - 10+ 10
Hence, g(x)= 8x+0
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is (-13) greater than (-5)
Answer: The Answer would be -5 is greater.
Step-by-step explanation: The reason why is that if you had 1 and -2 the 1 would be more because it is not negative.
Paul and sandy Moede signed at 8,000 note at Citizen's bank. Citizen's charge a 61/2% discount rate. If the loan is for 300 days, find (a) the proceeds and (b) the effective rate charged by the bank to the nearest
The proceeds is $7,566.67 and the effective rate charged by the bank to the nearest is 6.87%.
How to find the effective interest rate?Given data:
Principal = $8,000
Rate =6 1/2% or 6.5%
Term= 300 Days
a. Proceeds
Interest = Principal x Rate x Time
Interest = $8,000 x 6.50% x 300/360
Interest = $8,000 x 0.065 x 0.8333
Interest = $433.33
Now let find the Proceeds:
Proceeds = $8,000 - 433.33
Proceeds = $7,566.67
b. Effective Interest Rate:
Effective Interest Rate = 433.33 / 7566.67 x 300/360
Effective Interest Rate = 433.33 / 6305.56
Effective Interest Rate = 0.0687 × 100
Effective Interest Rate = 6.87%
Therefore $7,566.67 is the proceeds and 6.87% is the interest rate.
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A light bulb manufacturer claims that a certain type of bulb they make has a mean lifetime of 100010001000 hours and a standard deviation of 202020 hours. Each package sold contains 444 of these bulbs. Suppose that each package represents an SRS of bulbs, and we calculate the sample mean lifetime \bar x
x
ˉ
x, with, \bar, on top of the bulbs in each package.
The null and alternative hypotheses are H0: µ ≥ 1000 and Ha: µ < 1000 respectively.
The evidence to reject the manufacturer's claim is in the rejection region for the test statistic which is z < -1.54.
What is the null and alternative hypothesis?The null hypothesis consist of the inequality sign “equal” sign (“=” or “≥” or “≤”).
Alternative hypothesis is the complement to the null hypothesis.
The claim: The mean life of a certain type of light bulb is at least 1000 hours”. At least in inequality is represented by “≥” sign, it is null hypothesis.
H0: µ ≥ 1000
Alternative hypothesis:
The alternative hypothesis is the complement, that is, the mean life of a certain type of light bulb is less than 1000 hours.
Ha: µ < 1000
As the alternative hypothesis contains “<” sign, the test is left-tailed.
Using α = 0.02, we have critical value from standard table of normal distribution:
z0 = -1.54
Therefore, the rejection region for the test statistic is z < -1.54.
Complete question:
A light bulb manufacturer claims that a certain type of bulb they make has a mean lifetime of 1000 hours and a standard deviation of 20 hours. Each package sold contains 4 of these bulbs. Suppose that each package represents an SRS of bulbs, and we calculate the sample mean lifetime \bar x x ˉ x, with, \bar, on top of the bulbs in each package. 1. What is the null and alternative hypotheses? 2. At a = .02, do you have enough evidence to reject the manufacturer's claim?
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In this polygon, all angles are right angles.
What is the area of the polygon? Show your work.
Answer:
The area of the given polygon is 1830 cm².
What is a polygon?A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.
Each line of the polygonal circuit's segments is referred to as its edges or sides.
We know the area of a square is (side)² and the area of a rectangle is (length×width).
From the given diagram we can think of this polygon as a square having a side length of 46cm and a rectangle having a width (30 - 14) = 16cm and length 21cm, And subtract the area of the rectangle from the area of the square which is,
= (46×46) cm² - (16×21) cm².
= (2166 - 336) cm².
= 1830 cm².
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62.79 divided by 23 long division
Step-by-step explanation:
this is a college question ????
and you don't know how to do it ? what happened to you in elementary school ?
there are many different techniques. everybody thinks theirs is the fastest or easiest to understand.
after all, this is just "playing" with numbers, the factors embedded within the dividend.
this is mine. when I was in elementary school, we called this the "long division" :
62.79 ÷ 23 =
we pick the first few positions from the left of the dividend, where we are sure, the divisor fits at least once.
in our case here : 62.
we do an integer divide of 62/23 = 2 (for 3 the dividend would have to be at least 69). this 2 is our first digit of the quotient.
62.79 ÷ 23 = 2
now we multiply the divisor by that digit and subtract the result from the dividend. this gives us a remainder of 16, and we pull down the next position (7) :
62.79 ÷ 23 = 2
- 46
---------
167
now, we pulled the first digit after the decimal point, and we need to set the decimal point there in our quotient :
62.79 ÷ 23 = 2.
- 46
---------
167
now, we repeat the process by integer dividing this new dividend (167) by the divisor (23)
167/23 = 7
this 7 becomes the next digit in our quotient. and we repeat the process of multiplying this by the divisor and subtracting the result from the dividend. this gives us a remainder (6), and we pull down the next digit (9).
62.79 ÷ 23 = 2.7
- 46
---------
167
- 161
----------
69
and again, we repeat by integer dividing the new dividend (69) by the divisor (23)
69/23 = 3
this 3 is the next digit in our quotient.
we multiply it with the divisor and subtract the result from the dividend.
if the remainder is still not 0, we need to repeat the process by pulling the next digit, which would be an invisible 0. and continue.
but luckily, after this the remainder is 0, and we are finished.
62.79 ÷ 23 = 2.73
- 46
---------
167
- 161
----------
69
- 69
--------------
0
so, 62.79 ÷ 23 = 2.73 and 0 remainder.
Amira's cab company charges a one-time pickup fee of $3.50 for every ride, as well as
a $1.50 charge for each mile traveled. Find the rate of change.
The rate change is $1.50 per miles
The one time pickup fee of every ride = $3.50
The rate charges for every miles traveled = $1.50
Consider the number of miles traveled = x
Then the equation will be
y = 1.50x + 3.50
Where y is the total cost
x is the number of miles traveled
The slope intercept from is
y = mx + b
Where m is the slope of the line
b is the y intercept
Comparing the slope intercept form the given equation
y intercept of the line b = $3.50
Slope of the line m = $1.50 per mile
Hence, the rate change is $1.50 per miles
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−4x−y=−4
slope: 25, ordered pair: (−5,−1) find the equation in slope intercept form
The equation of a line in slope intercept form is expressed as y = 25x +124
Equation of a line in slope intercept formA line is defined as the shortest distance between two points. The equation of a line in point slope form is expressed as:
y - y₁ = m(x - x₁)
where;
m is the slope
(x₁, y₁) is any point on the line
Given the following parameters
m = 25
point = (-5, -1)
Substitute into the equation above to have:
y - (-1) = 25(x - (-5))
y+1 = 25(x+5)
Write in slope intercept form
y+1 = 25(x+5)
y+1 = 25x + 125
y = 25x +124
This gives the equation of the line in slope-intercept form.
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What is the solution of the equation shown?
0.7h 6 4-0.9h
A-10
B-1.25
C 0.16
D 6.25
HELP PLEASE I WILL GIVE BRAINLIEST
The solution of the given one-variable equation as shown in the task content is; Choice B; - 1.25.
What is the solution of the equation?It follows from the task content that the solution of the given one-variable equation is to be determined.
Since the given one-variable equation is;
0.7h + 6 = 4 - 0.9h
By adding, 0.9h and subtracting 6 from both sides, we have;
0.7h + 0.9h = 4 - 6
1.6h = -2
h = -2/1.6
h = -1.25
On this note, it follows that the solution of the given equation is; h = -1.25.
Consequently, the answer choice which is correct about the solution of the given equation is; Choice B; - 1.25.
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Solve for X
(x+58)°
100⁰
50
The measure of angle 4 is 121 degrees.
We know that the sum of all angles of triangle is 180 degrees.
∠1 + ∠2 + ∠3 = 180°
81° + 40° + ∠3 = 180°
∠3 = 180° - 121°
∠3 = 59°
We can observe that, angle 3 and angle 4 are linear angles.
So, ∠4 + ∠3 = 180°
∠4 = 180° - ∠3
∠4 = 180° - 59°
∠4 = 121°
Therefore, the measure of angle 4 is 121 degrees.
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Lynn is planning an event for which the total cost cannot exceed $400. Lynn plans to spend $180 on food and hire a clown at the rate of $35 per hour. Which inequality correctly shows Lynn's spending in terms of h, the number of hours that the clown can be at the party?
Answer:
35h+180≤400
Step-by-step explanation:
You multiply 35 by the amount of hours the clown can be at the party (h) and add $180 for the amount of food, which should equate to less than or equal to $400. Hope this helps! :D
Please please PLEASE mark BRAINLIEST!! <3
Answer:
35h+180≤400
I did this question, and I got it correct.
The Sugar Sweet Company is going to transport its sugar to market. It will cost $5200 to rent trucks, and it will cost an additional $200 for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.
Answer:
Step-by-step explanation:
$ 3750 = truck rental; $125 per ton of sugar transported C is cost; S is number of tons transported Equation relating C to S would be a linear equation like y = mx + b C = 125S + $3750 This equation would be graphed in the first quadrant only you would start with your y-intercept at (0, 3750) As x increases by 1, your y increases by 125 yielding these points: (1, 3875) (2, 4000) (3, 4125) etc.
Write the expression as a number in scientific notation.
(5 x 10^2)(4.2 x 10^4)/6 x 10^3
You scored an 85 on a test. This corresponds to a z-score of 1.80. What percentage of the scores are better than yours?
At a z-score of 1.80, the percentage of the scores that are better than yours is equal to 3.59%.
What is a z-score?In Mathematics, a z-score is sometimes referred to as a z-value or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
How to determine the percentage?Mathematically, the z-score of a given sample score in a normal distribution can be calculated by using this formula:
Z-score = (x - μ)/σ
Where:
x represents the sample score.σ represents the standard deviation.μ represents the mean score.Since a score of 85 on a test corresponds to a z-score of 1.80, the percentage of the scores that are better than yours is given by:
P(x > 85) = P(z > 1.80)
P(z > 1.80) = 0.0359
P(z > 1.80) = 3.59%.
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Please help me solve this. 30 points, and ill try to figure out how to give brainliest.
Answer:2nd down on the first one and 3rd one down on the second question
Alonso was driving down a road and after 4 hours he had traveled 96 miles. At this speed, how many hours would it take Alonso to drive 288 miles? PLEASE HURRRY
The number of hours that it will take Alonso to drive 288 miles is 12 hours.
How to calculate the time?Since Alonso was driving down a road and after 4 hours he had traveled 96 miles, the speed will be:
Speed = Distance / Time
Speed = 96 / 4
Speed = 24 miles per hour.
Therefore, the time taken for 288 miles will be:
Time = Distance / Speed
Time = 288 / 24
Time = 12
The time taken is 12 hours.
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An insurance settlement of $1.5 million must replace Trixie Eden's income for the next 35 years. What income will this settlement provide at the end of each month if it is invested in an annuity that i
earns 7.1%, compounded monthly?
(a) Decide whether the problem relates to an ordinary annuity or an annuity due.
o ordinary annuity
annuity due
(b) Solve the problem. (Round your answer to the nearest cent.)
$
The income that this settlement provide at the end of each month is: $813.20.
How to find the monthly payment?Monthly amount= $1.500,000 at the end of year 35 years.
Interest rate per month = 7.1/12 = 0.59167% per month
Total periodic cash flow = 35× 12 = 420
Hence,
Future value of annuity = X × [(1+ 0.0059167)^420 -1/ 0.0059167]
Future value of annuity =X × [(1.0059167)^420 -1/ 0.0059167]
Future value of annuity = X × [(1.0059167)^420 -1/ 0.0059167]
Future value of annuity = X × [11.913727 -1 / 0.0059167]
Future value of annuity = X × [10.913727 / 0.0059167]
Future value of annuity =X × 1,844.5633
$1,500,000 = X × 1,844.5633
X = $1,500,000/ 1,844.5633
X = $813.20
Hence,
Monthly payment is $813.20.
b. Since the cash flow occur at the end of every period this means that this is an ordinary annuity.
Therefor $813.20 is the monthly payment.
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Organize the following polynomial expressions from least to greatest based on their degree:
I. x + 2xyz
II. 9x3y2
III. 18x2 + 5ab − 6y
IV. 4x4 + 3x2 − x − 4
(2 points)
Group of answer choices
III, I, IV, II
IV, III, I, II
IV, I, II, III
III, II, IV, I
(please pay attention to the numbers, there are multiple questions like this with few numbers changed)
The polynomial expressions are arranged from least to greatest based on their degree as: I, III, II, IV.
What are the Degrees of Polynomial Expressions?The degree of a polynomial expression can be described as the highest exponential power that the terms of a polynomial has.
For example, if we have the polynomial expression that is given as 5x³ + 2x² + 4, the highest power is 3, therefore, the degree of the polynomial is 3.
Thus:
The degree of x + 2xyz is one.
The degree of 9x³y² is three.
The degree of 18x² + 5ab − 6y is two.
The degree of 4x^4 + 3x² − x − 4 is four.
Therefore, from least to greatest, we have: I, III, II, IV.
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In a certain distribution, the mean is 70 with a standard
deviation of 3. At least what fraction of the numbers are
between the following pair of numbers?
61 and 79
Answer:
8/9
Step-by-step explanation:
You want to know the least fraction of the distribution that lies between 61 and 79 if the mean is 70 and the standard deviation is 3.
Chebyshev's InequalityChebyshev's inequality tells you that at most 1/k² of the distribution will lie beyond k standard deviations from the mean.
ApplicationHere, the given limits are (61 -70)/3 = -3 and (79 -70)/3 = 3 standard deviations from the mean. That is, we can use k=3 to find the maximum fraction that is beyond the interval [61, 79]. That fraction is ...
1/k² = 1/3² = 1/9
Since this is the maximum fraction outside the given range, the minimum fraction inside the given range is ...
1 -1/9 = 8/9
At least 8/9 of the number are between 61 and 79.
What is 6204 divided by 4
The value of 6204 ÷ 4 is 1551
What is division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of it. For example if 30 mangoes are to be shared between 6 students. It shows that 5 mangoes will be given to each student. i.e 30/6= 5
the value of 6204/4 can be obtained by using long division:
4 in 6 gives 1 remainder 2
4 in 22 gives 5 remainder 2
4 in 20 gives 5 remainder 0
4 in 4 gives 1 remainder 0
Therefore the value of 6204/4 = 1551
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It has been estimated that there are 107 billion pieces of mail per year. If the postage rates are raised 2¢, how much extra revenue does that generate?
The extra revenue generated by the mail is $2.14 billion
How to determine the extra revenue generates?From the question, we have the following parameters that can be used in our solution:
Number of mails in a year = 107 billion pieces
Amount generated per mail = 2¢
From the above parameter, we can calculate the total amount generated using the following equation
The total revenue generated by the mail is calculated as
Amount generated = Number of mails in a year x Amount generated per mail
Substitute the known values in the above equation
So, we have the following equation
Amount generated = 107 billion x 2¢
Evaluate the product
Amount generated = 214 billion ¢
Express as dollars
Amount generated = $ 2.14 billion
Hence, the total amount is $2.14 billion
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The estimated cost of mail per year when the rate of postage is raised by 2¢ is
$2.14 * 10^9 = 2.14 billion dollarsHow to calculate the the extra revenue generatedThe problem require conversion of units and multiplication
The extra rate of for raising the postage is given to be 2¢
converting 2¢ to dollars gives $0.02
The rate is used to multiply number o f mails which is 107 billion
107 billion = 107 * 10^9, therefore
107 * 10^9 * 0.02
= 214 * 10^7
= 2.14 * 10^9
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The graph of a quadratic function with vertex (-2,-4) is
Find the domain and the range.
Write the domain and range using interval notation.
Answer:
Domain: (-∞, ∞); Range: (-∞, -4]
Step-by-step explanation:
Domain is the set of all possible input values of a function (or on a graph, the leftmost and rightmost extensions of the function).
Since this is a parabola, the function will extend left and right for negative infinity and infinity respectively.
Range is the set of all possible output values of a function (or on a graph, the uppermost and lowermost extensions of the function).
While the function on this graph will extend downward for negative infinity, the uppermost limit is -4, as y (output) value of the vertex.
HELP ME PLEASE, WILL MARK BRAINLIEST
Using slope-intercept, standard form, or point slope -
An arrow released from a bow, traveling towards a target 200 yards away,
reaches a max height of 42.6 ft in only 1.5 seconds. What is the height of the
arrow at 2.5 seconds?
Thank you so much!
The height of the arrow at 2.5 seconds is 71 feet.
Given:
An arrow released from a bow, traveling towards a target 200 yards away,reaches a max height of 42.6 ft in only 1.5 seconds.
1.5 seconds = 42.6 feet
divide by 1.5 on both sides.
1 sec = 28.4 feet
0.5 sec = 28.4/2
0.5 sec = 14.2 feet
2.5 sec = 1.5 sec + 1 sec
= 42.6 + 28.4
= 71 feet
Therefore The height of the arrow at 2.5 seconds is 71 feet.
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Which statements describe the graph of y = Negative RootIndex 3 StartRoot x minus 1 EndRoot + 2? Select three options.
The graph has a domain of all real numbers.
The graph has a range of y greater-than-or-equal-to 1.
As x is increasing, y is decreasing.
The graph has a y-intercept at (0, 1).
The graph has an x-intercept at (–7, 0).
Answer:
(a) The graph has a domain of all real numbers.
(d) The graph has a y-intercept of (0, 1).
(e) The graph has an x-intercept of (-7, 0).
Step-by-step explanation:
You want to know the correct descriptors of the domain, range, slope, and intercepts of the graph of y = ∛(x-1) +2.
DomainThe domain of the cube root function is all real numbers. Hence the graph has a domain of all real numbers.
RangeThe range of the cube root function is all real numbers. Hence the graph is not restricted to a range of y ≥ 1.
SlopeThe slope of the cube root function is positive everywhere. The graph of y is increasing as x is increasing.
InterceptsThe x-intercept is the value of x that makes y = 0.
0 = ∛(x -1) +2
-2 = ∛(x -1)
-8 = (x -1)
-7 = x . . . . . . . the x-intercept
The y-intercept is the value of y when x = 0.
y = ∛(0 -1) +2
y = -1 +2 = 1 . . . . . . the y-intercept
The true statements about the graph are ...
(a) The graph has a domain of all real numbers.
(d) The graph has a y-intercept of (0, 1).
(e) The graph has an x-intercept of (-7, 0).
<95141404393>
An arborist is preparing the fuel mix for her chainsaw before climbing a tree to remove a dead limb. The two-stroke chainsaw requires a 4% mix of engine oil to gas—that is, the amount of oil should be 4% of the amount of gas. How much engine oil should be added to a jerry can that contains 4.3 gallons of gas?
The amount engine oil which should be added to a jerry can that contains 4.3 gallons of gas is 0.172 gallons.
Given that arborist is preparing the fuel mix for her chainsaw before climbing a tree to remove a dead limb when two-stroke chainsaw requires a 4% mix of engine oil to gas and the amount of oil should be 4% of the amount of gas.
We want to find the amount of engine oil which should be added to a jerry can that contains 4.3 gallons of gas.
To find the amount of engine oil convert the mixture of engine oil to gas into decimal.
4%=4/100
4%=0.04
Now, we will multiply the above mixture with 4.3 gallons of gas is
4.3×0.04=0.172 gallons
Hence, the amount of engine oil which should be added to a jerry can that contains 4.3 gallons of gas when two-stroke chainsaw requires a 4% mix of engine oil to gas is 0.172 gallons.
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A store is having a sale on almonds and jelly beans. For 4 pounds of almonds and 8 pounds of jelly beans, the total cost is $25. For 2 pounds of almonds and 3
pounds of jelly beans, the total cost is $11. Find the cost for each pound of almonds and each pound of jelly beans.
40″f
Cloudy
Cost for each pound of almonds:
Cost for each pound of jelly beans:
The cost for each pound of almond is $3.25 and the cost of each pound of jelly beans is $1.5.
According to the question,
We have the following information:
For 4 pounds of almonds and 8 pounds of jelly beans, the total cost is $25. For 2 pounds of almonds and 3 pounds of jelly beans, the total cost is $11.
Now, let's take the cost of 1 pound of almond to be $x and that of jelly beans to be $y.
We have the following equations:
4x+8y = 25 ...(1)
2x+3y = 11
2x = 11-3y ...(2)
Putting this value of 2x in equation 1:
2(11-3y)+8y = 25
22-6y+8y = 25
22+2y = 25
2y = 25-22
2y = 3
y = 3/2
y = $1.5
Putting this value of y in equation 2:
2x = 11-3y
2x = 11-3*1.5
2x = 11-4.5
2x = 6.5
x = 6.5/2
x = $3.25
Hence, the cost for each pound of almond is $3.25 and the cost of each pound of jelly beans is $1.5.
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Solve for x.
6(x – 1) = 9(x + 2)
a
x = –8
b
x = –3
c
x = 3
d
x = 8
-4(6x + 7) = -316 What is the answer?
Answer:
[tex]x=-\frac{43}{3}[/tex]
Step-by-step explanation:
[tex]-4(6x+7)=-316 \\ \\ 6x+7=-79 \\ \\ 6x=-86 \\ \\ x=-\frac{43}{3}[/tex]
Answer:
x=12
Step-by-step explanation:
hope this helps! -4(6x + 7) = -316=x=12
A baseball player makes an annual salary of 3,200,000.
A charitable organization states that for $120 it can send 1 child to school in a developing country for 1 year. The baseball player decides to donate 10% of his annual salary to this organization.
Calculating it would be 320,000. About how many children could his donation send to school for 1 year?
Answer:
It can send 2,666 kids to school for a year.
What did you get for GH?
0.14
3.5
On EDPUZZLE
Answer:
if you mean 0.14 + 3.5 the answer is 3.64
Step-by-step explanation:
Line the numbers and decimal point when adding
A 2.5 quart container of juice develops a leak and loses juice at an average rate of 3.3 fluid ounces per minute. Which is the best estimate of the time it takes until the container is empty?
The leaking fruit juice container will get empty in 24.24 minutes
How to estimate of the time it takes until the container is emptyconverting 2.5 quart to ounce
1 quart is equivlent to 32 fluid ounce, 2.5 quart will be ?
? = 2.5 * 32
? = 80 fluid ounces
The leakage is at 3.3 fluid ounces per minute to find how many minute it takes to leak 80 fluid ounces we calculate as below
3.3 fluid ounces = 1 minute
80 ounces = ?
cross multiplying gives
= 80 / 3.3
= 24.24 minutes
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