Answer:
-2x
Step-by-step explanation:
x-(-3)
-2x
answer will be -2x ok follow me
Which transformations take the graph of f(x) = e^x to the graph of g(x) = e^x+2 + 3 will mark Big brain
Transforming the function f(x) would change its formula to g(x)
The transformation of f(x) to g(x) are
Transform the function 2 units leftTransform the function 3 units upHow to determine the transformation?The function is given as:
f(x) = e^x
Shift the function 2 units left
f'(x) = e^x + 2
Shift the function 3 units up
f''(x) = e^x + 2 + 3
Rewrite as:
g(x) = e^x + 2 + 3
Hence, the transformation of f(x) to g(x) are (b) and (c)
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Carly and Carter are comparing bedrooms. They are each getting new carpet and are trying to figure out which room will be the most expensive to cover with carpet. (The rooms are both rectangular) Carly's bedroom is 15.3 ft. long and 8.7 ft. wide. Carter's bedroom is 14.4 ft. long and 9.6 ft. wide. Which bedroom will be the most expensive to cover with carpet? Explain your steps for figuring out the area of the floor for each bedroom and determining your answer. Make sure to Show your math steps as well.
Answer:
Carter's bedroom would cost more to carpet than Carly's because the floor area of the former is about five square feet greater than the floor area of Carly's bedroom.
Step-by-step explanation:
The area of either of these floors is found by multiplying length by width:
A = L*W.
Carly's bedroom is 15.3 ft by 8.7 ft; multiplying, we get A = 133.11 ft^2
Carter's is 14.4 ft by 9.6 ft: A = 138.24 ft^2
Carter's bedroom area (138.24 ft^2) is about 5 ft^2 larger than Carly's and would thus cost more to carpet.
Which rule dilates a figure in the coordinate plane by a scale factor of 5?
Dilation involves changing the size of a figure
The dilation rule of a figure in the coordinate plane by a scale factor of 5 is (b) (x,y) [tex]\to[/tex] (5x,5y)
How to determine the dilation rule?The scale factor (k) is given as:
k = 5
Assume the coordinates of the figure is (x,y)
The dilation rule would be:
(x,y) [tex]\to[/tex] k(x,y)
Substitute 5 for k
(x,y) [tex]\to[/tex] 5(x,y)
Expand
(x,y) [tex]\to[/tex] (5x,5y)
Hence, the dilation rule is (b) (x,y) [tex]\to[/tex] (5x,5y)
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If the coordinate plane is dilated by a scale factor of 5, hence the resulting coordinate of the preimage will be (5x, 5y)
Dilation of coordinateDilation is a transformation technique that changes the size and shape of an object in an xy plane
If the coordinate point (x, y) is dilated by a factor of "k", the resulting coordinate of the preimage will be (kx, ky)
If the coordinate plane is dilated by a scale factor of 5, hence the resulting coordinate of the preimage will be (5x, 5y)
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Can anyone help me on this?
Answer:
Out of the two sums, B is the closest to the value to 1/2.
Steps for A:
Change 1/3 to 5/15
2+5/15
= 7/15
7/15 as a decimal: 0.46
0.50 - 0.46 = 0.04
Steps for B:
Change 6/7 to 18/21
Change 1/3 to 7/21
18-7/21
= 11/21
11/21 as a decimal: 0.52
0.52 - 0.50 = 0.02
6+8 divided by 2 simplify the expression
Answer:
6+8 is 14 and 14/2 is 7.
Step-by-step explanation:
the answer is 7
The 25th term of an arithmetic series is 44.5
The sum of the first 30 terms of this arithmetic series is 765
Find the 16th term of the arithmetic series.
Show your working clearly.
Answer:
[tex]a_{16}=26.5[/tex]
Step-by-step explanation:
Arithmetic series: [tex]a_n=a+(n-1)d[/tex]
Sum of arithmetic series: [tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
(where a is the first term and d is the common difference)
Given:
[tex]a_{25}=44.5[/tex][tex]S_{30}=765[/tex][tex]\implies a_{25}=44.5[/tex]
[tex]\implies a+(25-1)d=44.5[/tex]
[tex]\implies a+24d=44.5[/tex]
[tex]\implies S_{30}=765[/tex]
[tex]\implies \dfrac{30}{2}[2a+(30-1)d]=765[/tex]
[tex]\implies 30a+435d=765[/tex]
Rewrite [tex]a+24d=44.5[/tex] to make a the subject:
[tex]\implies a=44.5-24d[/tex]
Substitute found expression for a into [tex]30a+435d=765[/tex] and solve for d:
[tex]\implies 30(44.5-24d)+435d=765[/tex]
[tex]\implies 1335-285d=765[/tex]
[tex]\implies 285d=570[/tex]
[tex]\implies d=2[/tex]
Substitute found value of d into [tex]a=44.5-24d[/tex] and solve for a:
[tex]\implies a=44.5-24(2)=-3.5[/tex]
Therefore:
[tex]\implies a_{16}=-3.5+(16-1)2=26.5[/tex]
Write an equation in slope intercept for for the like with slope -3/5 and
y-intercept -3
Answer:
An equation for the slope and y-intercept would be y=-3/5x-3
Step-by-step explanation:
Remember the formula for this, y=mx+b, in which the m stands for the slope and the x would be next to the slope always because the slope is ever changing, and the b stands for the y-intercept or in other words, where the line crosses the y-axis not the x-axis.
Answer:
y = -3/5x - 3
Explanation:
The format of slope-intercept is:
[tex]\sf{y = mx + b}[/tex]
Where:
m = slopeb = y-interceptSo to write the equation, I just plug the data into y = mx + b:
[tex]\sf{y=-\dfrac{3}{5}x+(-3)}\\\\\sf{y=-\dfrac{3}{5}x-3}[/tex]
Hence, the equation is y = -3/5x - 3.
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies.
The confidence level is 99%, σ is not known, and the histogram of 56 player salaries (in thousands of dollars) of football players on a team is as shown.
Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.
When should the t-distribution and the z-distribution be used?If we have the standard deviation for the sample, the t-distribution should be used.If we have the standard deviation for the population, the z-distribution should be used.In this problem, σ is not known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.
Using a t-distribution calculator, considering a confidence level of 99% and 56 - 1 = 55 df, the critical value is t = 2.6682.
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The pressure on a scuba diver at sea level is 14.7 pounds per square inch (psi). The pressure increases 0.445 psi for each foot of depth. Suppose the pressure on a diver is 41.4 psi. How deep is she?
Answer:
14.7÷41.4=0.355
the answer is 0.355
Solve the picture for n
The two angles shown are vertical angles which men they equal each other:
9n = 8n + 8
Subtract 8n from both sides:
N = 8
->Solution
i) 9n = 8n+8 [ V.O.A. vertically opposite angles ]
or, 9n - 8n = 8
or, n = 8
therefore, value of n is 8
Now,
ii) 9n = 9 X n = 9 X 8 = 72 degrees
iii) 8n + 8 = 8 X 8 + 8 = 64 + 8 = 72 degrees
Help! Please!
Melanie bought a trampoline for her son. The price of the trampoline was $498.00 in a city where the sales tax is 6.7%. Find the sales tax and the total cost of the trampoline.
Sales tax: $_____
Answer:
$22.11. $23.41. $23.79.
Step-by-step explanation:
2.36 ÷ $32.00 = 0.0735. Sales tax was charged by the department store at a rate of 7.375%.
Answer: Mr. Smith should pay the department store $32.00 plus $2.36 in sales tax for a total bill of $34.36.
Sales tax rates vary from state to state. Retail sales tax rates are set by the individual states in the United States and vary from 0 to 9% of the sales price. Sales tax is usually the responsibility of the merchant to collect and submit to the state, and stated separately (or implicitly added at the time of the sale) to consumers. Let's look at some
Ms. Pearson kept track of student absences versus final average grades in her math dass for one semester, The
data is shown in the table below
The correct statement about the data collected by Ms. Pearson is that there is no association between a student's absences and the final average grades.
When do variables have a linear relationship?The equation that represents a linear relationship is: a + bx
Where x represents the rate of increase. Thus, for linear equations, the functiion increases by a constant term.
Looking at the table, the average final grade does not increase by a constant term.
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7/6 x 4/5 = in simplest form
Answer:
heyy do you still need help
Step-by-step explanation:
Factor using the greatest common factor
25n ² - 5n
32n ² + 28n - 20
Answer:
this is my answer
5n (5n - 1)
4n (8 + 7) - 20
PLSS I NEED HELP!!
1). To make a full rotation, 59 days, 19 h, and 45 min goes by for Mercury. It only takes Earth 1 day! How many hours does it take Mercury to complete a full rotation? Show your work using the correct conversion factors.
2). Some plants grow quickly. An invasive weed species can grow quickly. One variety grows up to 0.89 ft per day. How fast in inches per hour can this weed grow? Show your work using the correct conversion factors.
3). David’s watch broke. He decides to get it fixed instead of replacing it. The total cost to repair the watch can be represented by 0.07(45h) + 45h, where h represents the number of hours it takes to repair the watch.
a). What part of the expression represents the cost of the repair before tax?
b) Explain what your answer in Part A means in the context of the problem.
1) It takes 1435.75 hours for Mercury to complete a full rotation.
2) The weed can grow at 0.445 inches per hour.
Time calculation1) Given that to make a full rotation, 59 days, 19 h, and 45 min goes by for Mercury, to determine how many hours does it take Mercury to complete a full rotation, the following calculation must be performed:
59 x 24 + 19 + 0.75 = X1416 + 19.75 = X1435.75 = X2) Given that a plant grows up to 0.89 ft per day, to determine how fast in inches per hour can this weed grow, the following calculation must be performed:
0.89 / 24 = ft per hour0.037 = ft per hour1 ft = 12 inches0.037 x 12 = 0.445Learn more about time calculation in https://brainly.com/question/14695611
Answer:
1) It takes 1435.75 hours for Mercury to complete a full rotation.
2) The weed can grow at 0.445 inches per hour.
Step-by-step explanation:
59+55+854+456+456+7894
Answer :
59+55+854+456+456+7894=9,774
I need answers NOW!
BRAINLIEST FOR WHO CAN ANSWER!
Please help!!!!!!!!!!!!!!!!1
Answer:
The correct answer is C: [tex]t\leq 58[/tex]
Step-by-step explanation:
In order to solve this problem, start by first creating an inequality to represent the situation above. The price of the hours and the supply fee can't go over $1,500, so you can set the representative inequality as [tex]25t+50\leq 1500[/tex]. Now solve the inequality, and you will get [tex]25t+50\leq 1500[/tex] => [tex]25t\leq 1450[/tex] => [tex]t\leq 58[/tex] hrs. So C is the correct answer.
Answer:
The answer is C.t is less than or equal to 58.
Step-by-step explanation:
Let x = Number of tutoring sessions
Supplies + tutoring cost = total cost
50 + 25x = 1500
Now need to solve:
Subtract 50 from both sides and simplify
50/ + 25x - 50 = 1500 - 50
25x = 1450
Divide both sides by 25 and simplify
25x/25 = 1450/25
Therefore,
[tex]x\leq 58[/tex]
select exponential growth or decay for each function:
PLEASE HELP, 24 BRAINLY POINTS REWARD
Answer:
1. growth
2. decay
3. growth
4. decay
Answer:
Step-by-step explanation:
Growth: anything in the parenthesis that is greater than 100% or 1 | > 1
Decay: anything in the parenthesis that is less than 100% or 1 | < 1
(1 + r) = growth
(1 - r) = decay
r = rate of growth
[tex]f(x)=485(1.98)^t < ==|(1+0.98=1.98)| > 1= > growth\\[/tex]
[tex]f(x)=\frac{1}{4}(0.18)^t < ==|(1-0.82=0.18)| < 1= > decay[/tex]
[tex]f(x)=46(1.001)^t < ==|(1+0.001=1.001)| > 1= > growth[/tex]
[tex]f(x)=0.08(0.34)^t < ==|(1-0.66=0.34)| < 1= > decay\\[/tex]
Hope this helps!
9. Determine if x + 1 is a factor of x ^ 4 - 4x ^ 2 - 4x - 1 Justify your answer.
Answer:
No
Step-by-step explanation:
x + 1 is not a factor of the polynomial because the remainder is 2 and not 0
for the following question, true or false.
Answer:
False
Step-by-step explanation:
You can't add without first doing the terms of 2^3---(PENDAS)
Please help In triangle ABC, m∠A=47∘ and m∠B=70∘. What is the measure of angle C?
Answer: <C = 63°
Step-by-step explanation:
The interior angles in all triangles always equal 180°
47 + 70= 117
180 - 117 = 63°
<C = 63°
hope this helps :)
A linear model is used to determine the amount owed on a loan of $5,000 with simple interest of 4.25%. The model is A = 5000 + 5000(0.0425t), where A is the Amount (total principal plus interest) required to
Use the model to determine how long it would take for the loan amount to reach $7,000. Round to the nearest tenth
Answer:
9.4
Step-by-step explanation:
Hey there!
The question is asking us to use the model to find how long it would take for the loan amount to reach 7,000
In order to answer this, we need to make 7,000 equal to the equation:
7000=5000+5000(0.0425t)
Subtract 5000 from both sides
2000=5000(0.0425t)
Now we simplify the RHS
2000 = 212.5t
Now you divide both sides by 212.5 to get t by itself
t=9.41
So it would take 9.4 months for the loan amount to reach 7000
Is -\dfrac{59}{3}+\dfrac{4}{63}−
3
59
+
63
4
minus, start fraction, 59, divided by, 3, end fraction, plus, start fraction, 4, divided by, 63, end fraction rational or irrational?
Answer:
it is rational
Step-by-step explanation:
trust me
helpppppp meeeee pleaseeeeeeeee thanksssssss :)))))))
Answer:
815.76 is your answer
Step-by-step explanation:
You deposit 2,000$ in a savings account earning 5% simple interest. How long will it take for ythe balance of the account to be 3,800$
Answer:
1 year and a half or 18 months
Step-by-step explanation:
help me with this question please
Answer:
I'm sorry I don't know wish I could help you out
Find the distance between (-3, -4) and (2, -4)
Answer:
[tex]\boxed{\sf{5}}[/tex]Step-by-step explanation:
Distance can be calculated using a distance formula.
⇒ (-3,-4) and (2,-4)Distance formula:
[tex]\Longrightarrow: \sf{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }[/tex]
The distance between (-3,-4) and (2,-4) are:
[tex]\Longrightarrow: \sf{\sqrt{\left(2-\left(-3\right)\right)^2+\left(-4-\left(-4\right)\right)^2}}[/tex]
Then, you solve.
[tex]\Longrightarrow:\sqrt{\left(2-\left(-3\right)\right)^2+\left(-4-\left(-4\right)\right)^2}=\boxed{\sf{5}}[/tex]
Therefore, the distance between (-3,-4) and (2,-4) is 5, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
what type of line is this
~Denki Kaminari here~
Answer:
its a best fit line
Step-by-step explanation:
because it is in-between the blue and yellow points, that is what i assume the answer is.
hope this helps :D
Answer:
oblique line.
Step-by-step explanation:
hops this helps
If ABCD is dilated by a factor of 1/2, the coordinate of D' would be:
Answer:
D'=(1,-1)
Step-by-step explanation:
If you dialate by 1/2 then all you have to do, is find half of point D. so point D sits at (2,-2) and half of 2 would be (1,-1).
The dilated coordinates of D(2,-2) = D'(1,-1).
What is dilation?Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.
From the graph,
we interpreted the coordinates of D (2,-2).
Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.
To find the dilation of transformation
The basic formula to find the scale factor of a dilated figure is:
Scale factor = coordinates of the new shape ÷ coordinates of the original shape.
That means,
multiply the factor to the coordinates.
D' = (2 x 1/2, -2 x 1/2)
D' = (1, -1)
Therefore, the coordinates after the dilation D' (1,-1).
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