Find the value of f(g(-1).
Answer: -8
Step-by-step explanation:
[tex]g(-1)=2(-1)+5=3\\\\f(g(-1))=f(3)=1-3^{2}=\boxed{-8}[/tex]
Answer:
b.) f(g(-1)) = -8
Step-by-step explanation:
Given following:
f(x) = 1 - x²g(x) = 2x + 5Start solving from the right while doing these sums.
f(g(-1))f(2(-1) + 5)f(3)1 - (3)²1 - 9-8If f(n) = n²-n, then f(-4)
Answer:
20
Step-by-step explanation:
Just replace n by -4
[tex]\frak{Hi!}[/tex]
[tex]\orange\hspace{300pt}\above0.8[/tex]
We have the expression-:
[tex]\boldsymbol{\sf{f(n)=n^2-n}}[/tex], and we should evaluate that for
[tex]\boldsymbol{\sf{f(-4)}}[/tex]. To do that simply put in the value for x-:
[tex]\boldsymbol{\sf{f(-4)=(-4)^2-(-4)=16+4=20}}[/tex]
done!!
[tex]\orange\hspace{300pt}\above3[/tex]
x²+x-6
p= -2, q=3.
Factor the quadratic trinomial.
What are the binomial factors?
O(x + 2)(x-3)
O(x-2)(x+3)
O(p-2)(q + 3)
slope of (1,10) (1,-8)
step by step?!
Answer:
undefined - you can't divide by 0!
Step-by-step explanation:
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{10-(-8)}{1-1}[/tex]
m = 18/0
In order to find the slope, we have the formula is
The change of Y (Also Y minus each other)
----------------------------------------------------------------- Over (As fraction
The change of X (Also X minus each other)
Now the first point is (1,10) The Y is 10
The X is 1
Now the Second Point is (1,-8) The Y is -8
The X is 1
So now we plug the numbers in
10-(-8)
--------- which is equal to 18/0
1-1
A quick tip is that you CAN'T divide by zero
Therefore the answer is unidentified, but now you know how to solve for slopes
f '(x) = sin(x) - 65
What is f(x)?
Hello,
f'(x) = sin(x) - 65 → f(x) = -cos(x) - 65x
QUICK PLEASE. Calculate the final amount if $10 000 invested for 6 years at 4% compounded quarterly.
The final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697
Compound interestThe formula for calculating the compound interest is given as:
A = P(1+r/n)^nt
Given the following parameters
A = 10000(1+0.04/4)^4(6)
A = 10000(1+0.01)^24
A = 10000(1.01)^24
A = 1.2697(10,000)
A = $12,697
Hence the final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697
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How would you write 8^5 as a multiplication expression? A. 8 × 5 B. 8 × 8 × 8 × 8 × 8 C. 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 Reset Next
Answer:
8*8*8*8*8
Step-by-step explanation:
Answer:
8 x 8 x 8 x 8 x 8
Step-by-step explanation:
8^5 is basically 8 times itself five times.
Find the gas mileage.
534 mi; 22 gal
Answer:
fvbafdbai
Step-by-step explanation:
gyhghg
Part D
Whose tiles cover more area per tile? Use complete sentences to explain your reasoning.
The person that would cover the most tile is Bruce because 1/4 is bigger than 1/6.
How to solve for the size of the tilesBruce has been said to have the need for 1/4 square foot of tiles
Felicia on the other hand would need
1/6 for 1 sq foot
12 for 2 square foot
18 for 3 square foot
Bruce is knwon to cover
[tex]\frac{1}{4} x[/tex]
For felicia one square foot is covered by 1/6th
Now we have to know the one that is larger.
1/4 is bigger than 1/6
Hence we can conclude that Bruce is going to cover a larger are than Felicia.
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Answer: The person who covered the most tiles is Bruce, because 1/4 is bigger than 1/9.
Step-by-step explanation:
The operating costs of a swimsuit distributor are $120,000 per year plus $23 per swimsuit. The current partners have
500,000 to spend and are considering a new partner who has $150,000. How many swimsuits can they produce with and
without the new partner?
The swimsuits that can be produced with the new partner is 23,043.
The swimsuits that can be produced without the partner is 16,521.
How many swimsuits can be produced?The equation that relates total cost, operating cost and cost per swimsuit together is
Total cost = operating cost + (cost per swimsuit x number of swimsuits)
500,000 = 120,000 + ($23x s)
500,000 - 120,000 = 23s
380,000 = 23s
s = 380,000 / 23
s = 16,521
Number of swimsuits that can be produced with the new partner:
(500,000 + 150,000) = 120,000 + ($23x s)
650,000 = 120,000 + 23s
650,000 - 120,000 = 23s
530,000 = 23s
s = 530,000 / 23
s = 23,043
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Find the mode if any of the list of data 13, 13, 15, 15, 14, 15,13
I would to know how to solve this question
The information given about the probability shows that the expected maintenance cost is $22950.
How to calculate the cost?From the information given, the repair hours and the probability are given.
In this case, the maintenance cost will be:
= (8 × 0.05) + (10 × 0.12) + (12 × 0.15) + (14 × 0.32) + (15 × 0.22) + (17 × 0.14) × $1700
= 13.50 × $1700
= $22950
In conclusion, the correct option is D.
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Help with proving the following
Hello and Good Morning/Afternoon
Let's take this problem step-by-step:
First step
⇒ consider the fact cotθ = 1 / (tanθ)
[tex]\frac{1+tanx}{1+cotx} =\frac{1+tanx}{1+\frac{1}{tanx} }[/tex]
Second step
⇒ form a common denominator for the fraction in the 'denominator'
[tex]\frac{1+tanx}{1+\frac{1}{tanx} } =\frac{1+tanx}{\frac{tanx+1}{tanx} }[/tex]
Let's flip over the fraction on the denominator
[tex]\frac{1+tanx}{\frac{tanx+1}{tanx} } =(1+tanx) * \frac{tanx}{1+tanx} =tanx[/tex]
And there you go, you have proved the statement by following these steps!
*note, I used 'x' because the equation creator didn't have 'θ' symbol
Hope that helps!
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Write the following number in Standard Form: 4.32x 10^-5
Answer:
0.0000432
Step-by-step explanation:
In scientific notation, 10 raised to a negative number means that the number is less than 1. If the exponent is -5, the decimal place needs to be moved to the left 5 places. This makes the number in standard form: 0.0000432.
14) Complete.
Purchase Price: $225.75
Finance Charge:
Down Payment: $25
Number of Payments: 12
Monthly Payment: $22.50
O a.) $68.50
Ob.) $65.55
Oc.) $59.35
Od.) $69.25
Finance charge is: d.) $69.25.
Finance chargeUsing this formula
Finance charge=(Monthly payment× Number of payment)-(Purchase price-Down payment)
Let plug in the formula
Finance charge=($22.50×12)-($225.75-$25)
Finance charge=$270-$200.75
Finance charge=$69.25
Therefore the Finance charge is: d.) $69.25.
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A cube has side length a. The side lengths are decreased to 50% of their original size. Write an expression in simplest form for the volume of the new cube in terms of a. An expression is .
Answer: (a * 50%)^3
Step-by-step explanation:
length = a
(a * 50%)^3
If a would've been the length and would've been decreased to 50%, the volume would be equal to that expression.
Alice and Dakota are packing gift boxes. Alice has already packed 21 additional boxes and is packing 8 additional boxes per hour. Dakota has already packed 28 additional boxes and is packing 6 additional boxes per hour. Which function can Alice and Dakota use to determine the total number of boxes they have packed after x hours? How many boxes will they have packed after 4 hours
Given the slope of -4 that you just found. What is the slope-intercept equation of a line passing through (4, 9) and (6, 1) in the standard (x, y) coordinate plane? Use the point (4, 9) to find your equation. The line equation in slope-intercept form is Given the slope of -4 that you just found . What is the slope - intercept equation of a line passing through ( 4 , 9 ) and ( 6 , 1 ) in the standard ( x , y ) coordinate plane ? Use the point ( 4 , 9 ) to find your equation . The line equation in slope - intercept form is
Answer:
y = -4x + 25
Step-by-step explanation:
You are given the slope, but you can find the slope using 2 points. Slope is the change in y over the change is x. Your two y's are 1 and 9. Your two x's are 6 and 4.
1-9/6-2
1 - 9 = -8
6-4 = 2
-8/2 is -4.
We want an equation in the form y = mx +b. We have the m (slope), we now just need the b. We take either of the ordinal points (4,9) or (6, 1) to find b. They will both work, but the question tells us to us (4,9). 4 is the x and 9 is the y.
y = mx + b
9 = (-4)(4) + b a negative times a positive is a negative.
9 = -16 + b Add 16 to both sides
25 = b
We know now m which is -4 and b which is 25. We plug them into the model y = mx + b
y = -4x + 25
What’s the correct answer answer asap
Answer:
I believe the answer is B, it makes the most sense
Step-by-step explanation:
PLEASE ANSWER ,Part I
In terms of the trigonometric ratios for ΔBCE, what is the length of CE? Insert text on the triangle in GeoGebra to show the length of CE. Take a screenshot of the triangle with the text, save it, and insert the image in the space below.
By applying the law of cosine, the length of side CE is equal to 9.22 cm and the image of right-angled triangle BCE is shown in the image attached below.
How to calculate the length of CE?In order to determine the length of side CE, we would apply the law of cosine because both side CE and side BC respectively represent the adjacent side and hypotenuse of right-angled triangle BCE.
cos(θ) = Adj/Hyp
Where:
Adj is the adjacent side of a right-angled triangle.Hyp is the hypotenuse of a right-angled triangle.θ is the angle.Substituting the parameters into the formula, we have;
cos(θ) = CE/BC
cos(11.46) = CE/9.41
Cross-multiplying, we have:
CE = 9.41 × cos(11.46)
CE = 9.41 × 0.9801
CE = 9.22 cm.
By applying the law of cosine, the length of side CE is equal to 9.22 cm and the image of right-angled triangle BCE is shown in the image attached below.
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A bakery sold 12 vanilla cupcakes in a day, which was 6% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Answer:
200 cupcakes
Step-by-step explanation:
12 cupcakes = 6%
12/x=6/100 6x=1200 x=200
so 200 cupcakes
hope this helps
The total number of cupcakes the bakery sells that day is 200.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
Given that,
A bakery sold 12 vanilla cupcakes in a day, which is 6% of the total cupcakes.
Let's say the total cupcakes were x
Then,
6% of x = 12
6 × x/100 = 12
Divide both sides by 6
x/100 = 2
Multiply both sides by 100
x = 200
Hence "The total number of cupcakes the bakery sells that day is 200".
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If the volume of the bat is 82
cubic inches, what is the remaining volume that will be filled with packing peanuts? Show and explain your
work.
The volume that is left to be filled is approximately: 3,332.6 in.³
What is the Volume of a Box?Volume of a box = (length)(width)(height)
Given the following:
Volume of the bat = 82 cubic in.
Length of box = 30 in.
Width = 18.97 in.
Height = 6 in.
The remaining volume to be filled = volume of box - volume of bat
= (30)(18.97)(6) - 82
= 3,332.6 in.³
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21' 9" - 13' 1"
feet
<
>
Inches
Answer: 104 inches or 8' 8"
Step-by-step explanation:
1 foot = 12 inches
21 * 12 = 252 inches + 9 = 261 inches
13 * 12 = 156 + 1 = 157 inches
261 - 157 = 104 inches
104 / 12 = 8' 8"
Solve |x-3|+7=|3x-9|
Answer:
-1/2 and 13/2
Step-by-step explanation:
Choose correct simplification of x^12z^11/x^2z^4
The correct simplification of x^12z^11/x^2z^4 is [tex]x^{10}z^{7[/tex]
How to simplify the expression?The expression is given as:
x^12z^11/x^2z^4
Rewrite properly as
[tex]\frac{x^{12}z^{11}}{x^2z^4}[/tex]
Apply the quotient law of indices
[tex]x^{12-2}z^{11-4}[/tex]
Evaluate the difference
[tex]x^{10}z^{7[/tex]
Hence, the correct simplification of x^12z^11/x^2z^4 is [tex]x^{10}z^{7[/tex]
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John needs 150 feet of rope to section off part of his barn. At a local hardware store he can buy a 30 yard spool for $24 or he can buy 150 foot at $.25 per foot. Which is the better buy?
Answer:
30 yards for 24 vs 1 foot for 25 cents
so lets multiple the yards by 3 to see how many feet
90 feet = 30 yards
90 feet 24 dollars
now lets divide 90 by 24
3.75 so 3.75 per foot
so the second one is way better
Hope This Helps!!!
Answer:
150 feet at $.25 per foot ($.75 per yard) is the better buy.
Step-by-step explanation:
150 feet is equal to 50 yards. So 2 30-yard spools would be $48. $48 for 60 yards equals $.80 per yard. So 150 feet at $.25 per foot ($.75 per yard) is the better buy.
Compute the probability of tossing a six sided die and getting a 7.
Answer:
0/6
Step-by-step explanation:
There are 6 numbers on the die: 1, 2, 3, 4, 5, 6
As you can see there is no 7, so the possibility is 0/6.
What is the weighted average cost of capital if a business has a cost of equity of 12%, a cost of debt of 10%, tax rate of 25%, 20 million market value of debt, and 60 million market value of equity?
If the cost of equity is 12% , cost of debt 10%, tax rate 25%, 20 million market value of debt , 60 million market value of equity then the weighted average cost of capital is 10.875%
Given cost of equity is 12% , cost of debt 10%, tax rate 25%, 20 million market value of debt , 60 million market value of equity.
We know that weighted average cost of capital= cost of equity* weight of equity+ cost of debt* weight of debt.
Cost of debt (consider after tax)=10%(1-25%)
=10%*0.75
=0.075
Weight of equity=60/80
=0.75
Weight of debt=20/80
=0.25
Weighted average cost of capital=12%*0.75+0.075*0.25
=0.09+0.01875
=0.10875
=10.875%
Hence the weighted average cost of capital is 10.875%
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A group of men and women are asked if they prefer summer or winter. The resulting two-way frequency table is shown below. Use the data in the table to find each probability. a. P(woman) b. P(woman or summer) c. P(woman and summer) d. P(woman | summer)
women: summer 85 Winter 32
Men: summer 70 winter 51
The probability of women will be 0.49.
How to calculate the probability?Based on the information given, the probability women will be:
Number of women = 85 + 32 = 117
Number of men = 70 + 51 = 121
Total = 117 + 121 = 238
The probability of women will be:
= 117/238
= 0.49
The probability of women or summer will be:
= 0.49 × 155/238
= 0.32.
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when a relation is drawn on an xy-plane what is another name for the set of all x values from its graph
When a relation is drawn on an xy-plane, another name for the set of all x values from its graph is a function.
What is a function?It should be noted that a function simply means an expression or rule that defines a relationship between variables.
In this case, when a relation is drawn on an xy-plane, another name for the set of all x values from its graph is a function.
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