Answer:
$13.52
Step-by-step explanation:
Since we know the tax rate is 6%, we can multiply by 12.75*6/100 to get how much the tax would be added to the total. We get 0.765. And now we add 0.765 and 12.75 to get 13.515. Since it's asking to round to the nearest cent, we get $13.52
Use the formula for,P, to solve the following question.
For a segment of a radio show, a disc jockey can play 7 records. If there are 10 records to select from, in how many ways can the program for this segment be arranged?
ways
Answer:
604800 different ways to order the program
Step-by-step explanation:
using the formula for permutation, not combination because the order of the records matter
n!/(n-r)!
n is the total number of choices (10)
r is the number that is chosen from the total number (7)
If a=9 and b=4, what is the value of 2a−b ?
Replace a and b with their values:
2(9) -4 = 18-4 = 14
answer: 14
Answer:
14
Step-by-step explanation:
2a - b
substitute the variables
2 × 9 - 4
18 - 4
14
In the figure AB = AC and angle A = 48° What is the size of angle C?
Answer:
The answer is 25
Step-by-step explanation:
Pls help me on this question
Check the picture below.
The weights of books in a bookcase are normally distributed with a mean of 13. 5 pounds and a standard deviation of 2. 3 pounds. There are 145 books on the bookshelf how many of the books will weigh 11 pounds or more
89.09% of books will weigh 11 pounds or more, then the number of books will be 129.
What is a z- score?The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.
The weights of books in a bookcase are normally distributed with a mean of 11.6 pounds and a standard deviation of 1.3 pounds. There are 136 books on the bookshelf.
Then the z-score when the books will weigh 11 pounds or more will be
[tex]z= \frac{11-13.5}{2.3} \\\\z= -1.0869[/tex]
Then the probability will be
[tex]P(x > 11) = 1-P(x < 11 ) = 0.8909[/tex]
89.09% of books will weigh 11 pounds or more, then the number of the books will be
=145 × 0.8909
=129.1805 ≈ 129
More about the z-score link is given below.
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Solve for a and determine the measure of each angle:
Answer:
a =13
Step-by-step explanation:
180= (44+16-23)+11a
143=11a
143÷11= 13
Please Help Me!!
The price of a loaf of a particular type of bread increased from $3.70 to $5.59 from 2011 to 2021. What was the percent increase in the price of the loaf of bread over those 10 years? Round your answer to the nearest tenth of a percent.
The price of the loaf of bread over the 10 years was_____%(round to the nearest tenth of a percent.)
Answer:
51.1% to the nearest tenth.
Step-by-step explanation:
Increase = 5.59 - 3.70 = $1.89.
% increase = (1.89/3.70) + 100
= 51.08%
Find the value of cos Q rounded to the nearest hundredth, if necessary.
Answer:
Q = 61.56°
Step-by-step explanation:
cos ∅ = adjacent/hypotenuse
cos Q = 10/21
cos Q = 0.4762
Q = 61.56°
Find the perimeter of the composite figure
Answer:
104+16π
Step-by-step explanation:
Triangle Formula is bh1/2
Rectangle is lxw
Semicircle is 1/2 π r^2
Solve for x in the equation x squared minus 12 x 36 = 90.
Answer:
x = ±3√58
Step-by-step explanation:
Given
x² - (12 x 36) = 90Solving
x² - 432 = 90x² = 522x² = 9 x 58x = ±3√58Answer:
[tex]x =[/tex] ± [tex]22.85[/tex]
Step-by-step explanation:
Step 1: Multiply 12 * 36
[tex]x^2 - (12 * 36) = 90[/tex]
[tex]x^2 - 432 = 90[/tex]
Step 2: Add 432 to both sides
[tex]x^2 - 432 + 432 = 90 + 432[/tex]
[tex]x^2 = 522[/tex]
Step 3: Square root both sides
[tex]\sqrt{x^2} = \sqrt{522}[/tex]
[tex]x =[/tex] ± [tex]22.85[/tex]
Answer: [tex]x =[/tex] ± [tex]22.85[/tex]
32/4 times (16 times 1 over 2) minus 2 show your work I NEED HELP ASAP PLSSSS MY DAD IS GOING TO KILL ME
Answer:
62
Step-by-step explanation:
In this scenario, we would use BODMAS to determine where to start.
B - Brackets
O- Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
First, let's start with the brackets.
16 X [tex]\frac{1}{2}[/tex] is the same as 16 X 0.5.
16 X [tex]\frac{1}{2}[/tex] = 8
Next is the division sum.
32 ÷ 4 = 8
Afterwards, we multiply both answers.
8 X 8 = 64
Your answer is then minused by 2 and leads to the final answer.
64 - 2 = 62
I will make someone the BRAINLLYEST
what is this and i will
Answer:
42 (d)105 (i)WHOEVER HELPS ME WITH THESE 4 QUESTIONS WILL GET 60 POINTS AND RIGHT AWNSERS I WILL RATE U BRAINLIEST thank u so much and pls hurry up i only have 7 min left! ( pls good explanation)
Answer:
34) 5 questions
35) 8 questions
36) 9 questions
37) 10 questions
Step-by-step explanation:
We could create an exponential function for this scenario, but it is quicker and easier to simply list the potential scores.
We are told that the initial score is 1.
We are told that the the score doubles each time.
Therefore, the scores in sequence are:
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024 ... etc.
34) 16 is the 5th term in the sequence, so 5 questions
35) 128 is the 8th term in the sequence, so 8 questions
36) 256 is the 9th term in the sequence, so 9 questions
37) 512 is the 10th term in the sequence, so 10 questions
3 A fashion designer checks the price of a certain fabric. Manufacturer A charges $7.50 per yard. The graph shows the price that Manufacturer B charges. a. What is the initial value of each function? b. How much does 400 yd of fabric cost at each manufacturer? How much does 800 yd of fabric cost at each manufacturer? c. What can you conclude about the two functions? Explain. d. Manufacturer C offers the fabric for $5.50/yd but you have to buy at least 500 yd. What should the designer do if she needs 400 yd? Explain.
Answer: Price of 400 yd of fabric from Manufacturer A is = $7.50 X 400= $3,000. From given graph, we can observe that the charge for 800 yards of fabric is = $6,000
PLS HELP, EXPLANATION IS GREATLY APPRECIATED!!!!!
Answer:
a = alpha
(sin a)^2
Step-by-step explanation:
(tan a)^2=(sin a)^2/(cos a)^2
(sec a)^2 = 1/(cos a)^2
if we combine we get ((sin a)^2 * (cos a)^2)/(cos a)^2
simplafy
HOPE THIS HELPSSSS<3
Write an expression to show the show sum of g and h reduced by 11
Explanation:
The sum of g and h is the result of adding them. That means we have g+h so far. We reduce it or shrink that result by 11, which indicates we subtract off 11. Therefore, we end up with g+h-11
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of 77^{\circ}
with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
The ladder and the outside wall form a right triangle
The length of the ladder is 97.8 feet
How to determine the length of the ladder?The given parameters are:
Distance (B) = 22 feet
Angle of elevation (θ) = 77 degrees
The length (L) of the ladder is calculated using the following cosine ratio
cos(θ) = B/L
So, we have:
cos(77) = 22/L
Make L the subject
L = 22/cos(77)
Evaluate the product
L = 97.8
Hence, the length of the ladder is 97.8 feet
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katie says the graph of y = 8 (1/2)^x is the same as the graph f(x) = 8(1/2)^x. Do you agree? explain your reasoning.
Answer:
Yes
Step-by-step explanation:
In two-demensional graphing f(x) and y are used in the same way. They both represent a "function of x"
Eric is a great skateboard fan. He visits a shop named SKATERS to check some prices. At this shop you can buy a complete board. Or you can buy a deck, a set of 4 wheels, a set of 2 trucks and a set of hardware, and assemble your own board. The prices for the shop's products are:
Eric has 120 zeds to spend and wants to buy the most expensive skateboard he can afford. How much money can Eric afford to spend on each of the 4 parts? Put your answer in the table below.
Answer:
Deck | 60 zed
wheels | 14 zed
trucks. | 16+16 32 zed
Hardware | 10 zed
total. | 116 zed
remaining 4 zed
Step-by-step explanation:
hope this helps
mark me brainliest
Malini answered 68 problems on a test correctly and received a grade of 80%. How many problems were given on the test, if all problems carried the same number of marks?
Answer:
Below in bold.
Step-by-step explanation:
80% is equivalen to 68 correct answers
1% .. .. .. 68/80 ..
100% ,, ,, ,, (68/80) * 100 = 85 questions.
Factorise this expression as fully as possible 12x3 - 9x?
please help
Answer:
12x3-9x
=3-12x9x
=3-21x
=21x-3
What is the spatial relationship between a rectangle and a parallelogram?
Answer:
a rectangle is a parallelogram as the parallogram is made up of 2 triangles and a smaller rectangle. When the rectangle is divided into 2 triangles and another small rectangle, and is then being put together with the triangles on each side, it will be a parallelogram.
Step-by-step explanation:
Explanation:
A rectangle has the following properties:
Has 4 sidesHas 4 right anglesOpposite sides lengths are equal.Diagonals of rectangle are equal.Opposite sides are parallel.A parallelogram has the following properties:
Has 4 sidesOpposite angles are equal.Opposite sides are equal.Opposite sides are parallel.The similiarities between a rectangle and a parallelgram:
Has 4 sidesOpposite sides are parallel.Opposite sides are equal.Opposite sides lengths are equal.The difference between a rectangle and a parallelogram:
The main difference between a rectangle and a parallelogram is that a rectangle has four right angles while a parallelogram does not have four right angles.
Adam wishes to have $19,000 available in 18 years to purchase a new car for his son as a gift for his high school graduation. To accomplish this goal, how much should Adam invest now in a CD that pays 1.92% interest compounded semiannually? Adam should invest $ NOW. (Round to the nearest cent as needed.)
The amount of money Adam should save now in order to accomplish his goal is $13,470.30.
How much should Adam save now?In order to determine the amount Adam should save now, the present valaue of $19,000 has to be determined. Present value is the sum of discounted cash flows.
Present value = future value / (1 + interest)^time
Interest = 1.92/2 = 0.96%
Time = 18 x 2 = 36
$19,000 / (1.0096^36) = $13,470.30
To learn more about present value, please check: https://brainly.com/question/26537392
)) What is the area of this figure?
5 mm
7 mm
6 mm
9 mm
7 mm
16 mm
3 mm
10 mm
)) Write your answer using decimals, if necessary.
1))
square millimeters
Victoria is at an elevation of 150 feet. She hikes down to an elevation of 120 feet in 40 minutes. Then she hikes down to an elevation of 100 feet in 30 minutes.
Answer:
Answer: First portion is greater than second portion.
Step-by-step explanation:
Time taken to hiked down a trail = 10 minutes
Change in elevation = (-) 170 feet
Speed is given by
\begin{gathered}Speed=\frac{Distance}{Time}\\\\Speed=\frac{170}{10}\\\\Speed=17\text{ feet per minute}\end{gathered}
Speed=
Time
Distance
Speed=
10
170
Speed=17 feet per minute
Similarly,
Time taken to hiked down a trail = 20 minutes
Change in elevation = (-)220 feet
Speed is given by
Speed=\frac{Distance}{Time}Speed=
Time
Distance
\begin{gathered}Speed=\frac{220}{20}\\\\Speed=11\text{ feet per minutes}\end{gathered}
Speed=
20
220
Speed=11 feet per minutes
So, we can see that first portion of the hike where he hiked down a trail at a steady rate for 10 minutes and her change in elevation was (-) 170 feet, was her rate of change in elevation greater.
As 17 feet per minutes is greater than 11 feet per minutes.
Consider the following incomplete deposit ticket: a deposit ticket. the amounts deposited were 491 dollars and 60 cents and 157 dollars and 68 cents. 68 dollars and 44 cents was taken out as cash. the total on the ticket is 686 dollars and 4 cents. what was the value of the third check tony deposited? a. $617.60 b. $105.20 c. $31.28 d. $36.76
Tony deposited three checks as given in deposite ticket. The amount of the third check that Tony deposited is given by: Option B: $105.20
How to get the resultant deposited amount?Resultant deposited amount = Deposited amount - The amount deducted.
We subtract the amount deducted from the amount deposited to get the resultant deposite amount that will go in bank.
Well, it might be that we deduced more than what we deposite, in that case net deposite will come as negative, indicating that there is deduction instead of deposite.
The missing image of the deposite ticket is attached below.
From that image, we can see that:
Deposited amounts were: First check: $491.60 Second check: $157.68 Third check: $x (to find)Deducted amount was: $68.44Net deposite = $686.04Thus, the net deposited amount is:
Net deposite = deposited amounts - deduced amounts
686.04 = 491.6 + 157.68 + x - 68.44 (all in dollars)
[tex]686.04 = x+ 491.6 + 157.68 - 68.44\\686.04 = x + 580.84\\\\\text{Subtracting 580.04 from both the sides} \\\\686.04 - 580.84 = x\\x = 105.20 \: \rm dollars[/tex]
Net deposite = 105.20 (in dollars).
Thus, the amount of the third check that Tony deposited is given by: Option B: $105.20
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What is the surface area of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth.
15 mm
12 mm
square millimeters
Please help!!!!!!!!!!!!!!!!!!!!!!
Answer:C
Step-by-step explanation:
Okay so the value of 'a' is 2 so anywhere you see 'a', you substitute its value for 22(5-a)² + 7a2(5-2)² +7×2 2(3²) + 14 (2×9) + 1418 + 1432Answer:
option C
Step-by-step explanation:
Ive attach my work
Hppe it hels, Let me know if you have any questions !
what is the approximate value of x when f(x) = g(x)
Answer:
I'm a little confused by this question:
Lines and things that are linear are relatively boring in mathematics. What if my function f(x) = g'(x). I’m going to ask the same question in a different way.
What is an approximate value of g'(1.1)?
So I know L(x)=f(a)+f′(a)(x−a)
If I substitute items in, I get g′(x)+g′′(x)(x−x).
Since x−x=0 I always am going to end up with L(x)=g′(x)
I don't think this can be the right answer since I know the whole point is to use the 2nd derivative, but if you get 0 for (x−a), then the whole part ends up being 0. What am I missing here?
I'm completely lost here because these are the followup question after the one above:
Now things are interesting. Suppose g(1) = 0 and g'(1) = 1.
Use linear approximation to approximate the value of g(1.1). The answer to #2 and #3 gives us a slope of a tangent line and a value of a function, which we can use.
Use your previous answers to approximate the value of g(1.2). Somehow, this second derivative has caused an adjustment to our approximation.
What did using the second derivative do to the approximation?
Do you believe the approximation is better or worse than our original?
Step-by-step explanation:
show work!!
What value of x makes the equation 33x=11 true
33x=11