Answer:
Step-by-step explanation:
f(x) = 2 |5(-4)+7| -1
= 2 |(-20)+7| -1
= 2 | -13 | -1
= 26 - 1
= 25
A function assigns the value of each element of one set to the other specific element of another set. The value of the function f(-4) is 25.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The value of f(-4) can be evaluated by substituting the value of x as -4 in the given function, therefore, the value of f(-4) can be written as,
f(x) = 2|5x+7| − 1
f(-4) = 2|5(-4)+7| − 1
= 2|-20 + 7| - 1
= 2|-13| - 1
= 2(13) - 1
= 26 - 1
= 25
Hence, the value of the function f(-4) is 25.
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A U.S. citizen invested a $1200 government stimulus check they received on March 1, 2020,
into stocks that grew with an annual percentage rate of 20.2%, compounded continuously.
How much are these stocks worth 9 months later on December 1, 2020? Round to two
decimal place accuracy. (Hint: 9 months = 0.75 years)
The stocks are worth $ 1396.29 nine months later.
Using the continuous compounding formula,
\(A = Pe^{rt}\) where
A = final amount of stocks P = initial amount of stocks = $1200, r = compounding rate = 20.2 % = 0.202 t = 9 months = 0.75 yearsSubstituting the values of the variables into the equation, we have
\(A = Pe^{rt}\)
\(A = 1200e^{0.202 X 0.75}\\A = 1200e^{0.1515}\\A = 1200(1.1636)\\A = 1396.29\)
So, the stocks are worth $ 1396.29 nine months later.
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The terminal point of theta is (0, 1). What is tan theta?
The terminal point of an angle is (0,1), and we are asked to determine the tangent of the said angle. We can exemplify the problem in the following diagram.
Even though the point (0,1) lies in the y-axis, the idea if the diagram is to show that the terminal point of an angle represents the values of the adjacent and opposite sides of a triangle. Therefore, in the given terminal point the triangle has adjacent side 0 and opposite side 1. Now let's remember the definition of the function tangent:
\(\tan \theta=\frac{opposite}{adjacent}\)Replacing the values we get:
\(\tan \theta=\frac{1}{0}\)Because we have a division by zero the function tangent of theta is undefined for this terminal point.
Margaret is making strawberry milkshakes for the kids party. The recipe calls for 1/3 of a cup of strawberry syrup to make 12 milkshakes. How many cups of strawberry syrup are needed to make 72 milkshakes.?
A. 3
B. 12
C. 24
D. 2
Answer:
The answer is D.
Step-by-step explanation:
72 divided by 12=6
6 times 1/3=2
Help please 111119228282
Here we have a dilation of scale factor 2.
How to describe the enlargement?We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.
To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:
L' = K*L
Here if we use the left sides, we will get:
for figure A; L= 2
for figure B: L = 4
4 = K*2
4/2 = K
2 = K
So this is a dilation of scale factor k = 2.
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Um... anyone know this?
Answer:
show more picture pls!
Step-by-step explanation:
2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
PLEASE HELP ME ASAP. i really need help
Answer:
38
Step-by-step explanation:
A => 4.05
b =>5.95
now they told in the coffee blend their ratio is 2:1 :: B:A
So if we take x amounts of A then 2x amount of B
So cost of A => x * 4.05
So cost of B => 2x * 5.95
And result is given 606.1
Hence
x * 4.05 + 2x*5.95 = 606.1
Solve and get x = 38
Brainliest pls :)
Which of the following statements is true?
A. The median can not possibly appear as a number in the data set
B. The median will appear in the data set only if the median is also the mode
The statement which is true include the following: A. The median can not possibly appear as a number in the data set.
What is a median?In Mathematics, a median can be defined as the middle number (center) of a sorted data set, which is when the data set is arranged in from the greatest to least or the least to greatest.
What is mode?In Mathematics, a mode can be defined as a statistical term that is used to denote the value that appears most often or occurs repeatedly in a given data set.
In this context, we can reasonably infer and logically deduce that the median differs from the mode of a given data set.
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PLEASE ANSWERING THIS QUESTION!!!
The volume of a cone with height h and a radius r can be found using the formula \(\sf{V=\dfrac{1}{3}\pi r^2h\)
Find the volume of a cone with radius 5 feet and height 4 feet.
(Blank) ft^3
Rules answering these questions:
Explain your answer!
Do not spam answers!
Show your work!
Nonsense answers will be reported and delete your answers.
Thanks!
Answer:
104.8cm³(1 decimal place)
Step-by-step explanation:
Volume of a cone is given by the formula
V=1/3πr²h
we are given a radius of 5 and a height of 4 so we will just substitute for the values and we will give our pie as 22/7
V=1/3× 22/7×5²×4
V=1/3 × 22/7 ×25 ×4
V=2200/21
V=104.76190476
V=104.8cm³(1decimal place)
pls if you like this answer you can appreciate it by marking it as brainliest
Use the figure to find the measures of the numbered angles, help! 7,8,9
Answer:
angle 3 = 95 and angle 4 is 180 (for question eight)
Step-by-step explanation:
I'll do number eight for an example.
---------------------------------------------------------------
Angle 3 is equal to 95, because its consecutive interior angles. Angle 4 is 180 minutes 65 because the angles are supplementary.
So answer up top :P good luck
-25+t/z greater these or =to 50
Answer:
=to 50
Step-by-step explanation:
A carnival ride has cars that each hold 4 44 adult passengers. The weights of the passengers for this ride are normally distributed with a mean of 65 kg 65kg65, start text, k, g, end text and a standard deviation of 12 kg 12kg12, start text, k, g, end text. Assume that the weights of passengers are independent from each other. Let T = T=T, equals the total weight of 4 44 randomly selected adult passengers for this ride. Find the probability that the total weight exceeds 290 kg 290kg290, start text, k, g, end text. You may round your answer to two decimal places.
The probability that the total weight exceeds 290 Kg is 0.23 and this can be determined by using the normal distribution formula.
Given :
A carnival ride has cars that each hold 4 adult passengers. The weights of the passengers for this ride are normally distributed with a mean of 65 kg.The standard deviation of 12 kg.The mean of T is given by the following calculation:
\(\mu_T = 4\times 65\)
\(\mu_T = 260\)
The standard deviation of T is given by the following calculation:
\(\sigma^2_T=12^2+12^2+12^2+12^2\)
\(\sigma_T = \sqrt{4\times 12^2}\)
\(\sigma_T = 24\)
To determine the probability P(T > 290) use the formula of normal distribution which is given below:
\(\rm P(T>290) = \int\limits^{9999}_{290} {\dfrac{e^{\frac{-(x-260)^2}{24}}}{24\sqrt{2\pi} } \, dx\)
By simplifying the above integration the value of the probability is given by:
P(T > 290) = 0.23
So, the probability that the total weight exceeds 290 Kg is 0.23.
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Answer: Correct answer is .11
Step-by-step explanation:
Write the DECIMAL and FRACTION for ALL THE SHADED SQUARES
Answer:
56/100=0.56
Step-by-step explanation:
Total box=100
shaded=56
What Value if n makes the equation true
1/2(n + 4)=6
N=8
1/2 x (8+4) = 6
1/2 x 12 = 6
please help i’m struggling so much
Answer:
3 will be the answer.
Step-by-step explanation:
Hope it's help you ♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
how would you show your work for this problem?
3x - 5 = x + 2 - 10 - 7x
Answer: x = \(-\frac{1}{3}\)
Step-by-step explanation:
To show your work for this problem, you will write out every step that you take to solve for x.
Given:
3x - 5 = x + 2 - 10 - 7x
Combine like terms:
3x - 5 = - 6x - 8
Add 5 and 6x to both sides of the equation:
9x = - 3
Divide both sides of the equation by 9 and simplify the fraction:
x = \(-\frac{3}{9}=-\frac{1}{3}\)
A stop sign casts a shadow 8 feet long, while a school bus nearby casts a shadow 12 feet long. If the stop sign is 7 feet tall, how tall is the school bus?
11 I think
(someone correct if I am wrong plz)
Answer:
10.5
Step-by-step explanation:
7 = x
8 12
8x = 84
8 8
x = 10.5
What’s the correct answer for this question?
Answer:
A.
Step-by-step explanation:
A quadrilateral inscribed in a circle has its opposite angles adding up to 180°
So
<NOP + <M = 180
4x+8x-24 = 180
12x = 180+24
12x = 204
Dividing both sides by 12
x = 17
<NOP = 4(17)
= 68°
I need help on question 16
Answer:
more than 22
Step-by-step explanation:
last year average 21points per game
so they need at least 22 points per game to be better than last year average
to get 22 points per game average (for the first three game)
they need to score total = 22 × 3 games = 66 points
then, minus total score they need to goal
66 - 14 -30
= 22 point more to score
Mackenzie measured a line to be 5.3 inches long. If the actual length of the line is 5.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
1%
is the Answer sorry if i'm wrong
Answer:
1.9
Step-by-step explanation:
that's what it said the answer was
At a sale this week, a sofa is being sold for $153.60 .This is a 76% discount from the original price. What is the original price?
Answer:
$21473.33
Step-by-step explanation:
Let the original price be x
76% discount gives $153.60
This means 24/100 * x = $153.60
X= 153.60 * 100 /24 = $21473.33
The original price of the sofa is $21473.33.
What is discounted price?Discount is the difference in price between the selling price of an object and the price listed on the object marked price.
Given that, a sofa is being sold for $153.60, which was on the 76% discount.
Let the original price be x,
x - 76% of x = $153.60,
⇒ 24/100 · x = $153.60
⇒ x = 153.60 · 100 /24 = $21473.33
Hence, the original price of the sofa is $21473.33.
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The company also has plans to open a third obstacle course, The Gridiron, where the first three checkpoints will have coordinates A′′(0,−5), B′′(9,−5), and C′′(4,−5). What relationship could this location have to the previous locations? Select all answers that apply.
Answer: It is a reflection of Reflections of You (second location) in the x-axis.
Step-by-step explanation: Based on the given information, the relationship between the new location (The Gridiron) and the previous locations can be determined.
The correct answer is:
It is a reflection of Reflections of You (second location) in the x-axis.
The coordinates of the first three checkpoints of The Gridiron (A''(0,−5), B''(9,−5), and C''(4,−5)) indicate that they have the same y-coordinate (-5) as the corresponding checkpoints in the second location, Reflections of You. However, there is no indication of a reflection in the y-axis or any transformation related to the first location, Transformation Fitness Studios. Therefore, the correct answer is that The Gridiron is a reflection of Reflections of You in the x-axis.
Please help me with number 8
Answer:
jjejejkwkwkqkkqkqkqkkqkqkq
The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches. Use this information to answer the questions. (a) What is the probability that a randomly selected woman from this university is 69 inches or taller
Answer: 0.16
Step-by-step explanation:
Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.
According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.
About 68% woman have height between ( 66-3) inches and (66+3) inches.
i.e. About 68% woman have height between 63 inches and 69 inches.
The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]
The percentage of woman have height is 69 inches or taller = 32%÷2
= 16%
Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16
Kayla rented a bike from James' Bikes. It
cost $18 plus $2 per hour. If Kayla paid
$34, then she rented the bike for how
many hours?
Answer:
8
Step-by-step explanation:
ahe rented the bike for a total of 8 hours
Answer:
1.7 hours
Step-by-step explanation:
18+2=20
34/20=1.7
On Sunday, Christina's savings account balance was $315.12.
On Monday,
she withdraws $78.95 and $143.80. She deposits
$63.29 on Tuesday. What is her balance after the deposit?
Rufus collected 18 pounds of
aluminum cans to recycle. He
plans to collect an additional 2
pounds each week. He wants to
collect a total of 42 pounds of
aluminum cans. Let x represent
the number of weeks Rufus
collects aluminum cans.
Answer:
12
Step-by-step explanation:
collected can=18pound
total can to collect=42
collected can per week=2
now,
42-18 =24
so, remaining cans to collect is 24pound
and,
24/2
=12
so, Rufus have to collect for 12 weeks for 42pound of cans in total
The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, . . . (where F0 0).
(a) Give the recursive definition for the sequence.
(b) Write out the first few terms of the sequence of partial sums: 0, 0 + 1, 0 + 1 + 1,. . .
(c) Give a closed formula for the sequence of partial sums in terms of Fn (for example, you might say F0 + F1 + · · · + Fn 3F 2 n−1 + n, although that is definitely not correct).
(Discrete Mathematics)
The Fibonacci sequence is the sequence in which the numbers are written such that each succeeding number is sum of two preceding numbers.
The Fibonacci sequence is defined recursively as follows:
F0 = 0
F1 = 1
For n > 1, Fn = Fn-1 + Fn-2
(b) The sequence of partial sums is:
S0 = 0
S1 = 0 + 1 = 1
S2 = 0 + 1 + 1 = 2
S3 = 0 + 1 + 1 + 2 = 4
S4 = 0 + 1 + 1 + 2 + 3 = 7
S5 = 0 + 1 + 1 + 2 + 3 + 5 = 12
(c) A closed formula for the sequence of partial sums in terms of Fn is not possible, since the sequence of partial sums depends on the values of all previous terms in the Fibonacci sequence. However, it is possible to express the nth term of the sequence of partial sums, Sn, in terms of the nth term of the Fibonacci sequence, Fn, using the following formula:
Sn = F0 + F1 + ... + Fn = (F0 + F1) + (F1 + F2) + ... + (Fn-1 + Fn) = F1 + F2 + ... + Fn + F0 + F1 + ... + Fn-1 = 2Sn-1 - Fn + F0
This formula can be derived by considering the previous term in the sequence of partial sums and adding the current term of the Fibonacci sequence to it.
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3. Give the domain of y= √6-X using set builder notation.
Answer:
{x | x ≤ 6}
Step-by-step explanation:
Given
y = √(6 - x)
Required
Determine the domain
We start by setting 6 - x to ≥ 0.
i.e.
6 - x ≥ 0
Add x to both sides
6 - x + x ≥ 0 + x
6 ≥ x
This can be rewritten as
x ≤ 6
Using set builder, the above van be represented as: {x | x ≤ 6}
Given a sphere with a diameter of 6.2cm, find its volume to the nearest whole
Answer:
the answer is 12
Step-by-step explanation:
d=2r=2*6.2=12.4