Answer:
B
Step-by-step explanation:
If you shifted this equation 7 units to the right and 3 down, the new formula would be [tex]4(x-7)^2-19[/tex], or answer choice B. Hope this helps!
find the perimeter a book had length of 9 inches and a width of 9 inches. what is the perimeter of the book ?
Answer:
36 inches
Step-by-step explanation:
You find perimeter by adding all the sides together. It seems to be a square book as the length and width are the same. So 9+9+9+9 or 9x4=36 inches.
a box contains 5 green pencils and 7 yellow pencils. two pencils are chosen at random from the box without replacement. what is the probability they are different colors
Answer:
A box contains 5 green pencils and 7 yellow pencils.
Two pencils are chosen at random from the box without replacement.
=> There are two cases:
1st pick green & 2nd pick yellow: P = 5/12 x 7/11 = 0.265
1st pick yellow & 2nd pick green: P = 7/12 x 5/11 = 0.265
Add up both cases, the probability they are different colors:
P = 0.265 + 0.265 = 0. 53
Hope this helps!
:)
An isosceles triangle has a base whose length is 14 centimeters and whose base angle each measure 68
Answer:
I guess you want to find the lenght of the sides and the other angle, so let's do that:
We know that the base has a length of 14 cm.
The two base angles are 68°
First, we can find the other angle knowing that the sum of all interior angles of a triangle must add up to 180°.
2*68° + X = 180°
X = 180° - 2*68° = 44°
Now let's find the length of the sides (that is the same for both sides, as we have an isosceles triangle.
For this we can draw a line for the middle of the base that goes through the top vertex, creating in this way a triangle rectangle.
We know that one of the cathetus will have half of the length of the base, this is 7cm.
the adjacent angle to this cathetus is 68°, now we want to find the hypotenuse of this triangle, we can use the relation:
Cos(A) = adjacent cathetus/hypotenuse:
Cos(68°) = 7cm/H
H = 7cm/cos(68) = 18.7cm
this hypotenuse is equal to the side length of our isosceles triangle, so now we have it fully determined.
Find the volume of a right circular cone that has a height of 11.7m and a base with a circumference of 9 m.
Answer: Approximately 25.1 m^3
Step-by-step explanation:
The volume of a cone is [tex]V=\pi r^2\frac{h}{3}[/tex]. We know the height, but we don't know the radius. Fortunately, we are given the circumference of the base circle.
[tex]C=2\pi r[/tex]
[tex]9=2\pi r[/tex]
[tex]r=\frac{9}{2\pi}[/tex]
Now that we have the r, we can plug it into the volume equation.
[tex]V=\pi r^2\frac{h}{3}[/tex]
[tex]V=\pi (\frac{9}{2\pi } )^2 (\frac{11.7}{3} )[/tex]
After you plug this into the calculator, you get approximately 25.1 m^3.
Payton cut out two shapes, as shown, that she will later put together to resemble a house.
Answer:
21 Square Units
Step-by-step explanation:
edge 2020
What is the fourth term in the binomial expansion of (2x – y) 7?
Answer:
[tex] (7C4) (2x)^4 (-y)^{7-4}[/tex]
And replacing we got:
[tex] 35 (2^4) x^4 (-y)^{-3}[/tex]
And then the final term would be:
[tex] -560 x^4 y^3[/tex]
Step-by-step explanation:
For this case we have the following expression:
[tex] (2x-y)^7[/tex]
And we can use the binomial theorem given by:
[tex] (x+y)^n =\sum_{k=0}^n (nCk) x^k y^{n-k}[/tex]
And for this case we want to find the fourth term and using the formula we have:
[tex] (7C4) (2x)^4 (-y)^{7-4}[/tex]
And replacing we got:
[tex] 35 (2^4) x^4 (-y)^{-3}[/tex]
And then the final term would be:
[tex] -560 x^4 y^3[/tex]
After several years of working, Katy has savings of $100,000. If she invests that $100,000 in a savings fund that adds 5% each year, about how much will her savings account have after 20 years? Ignore compounding and taxes, and assume Katy puts no additional money into savings.
Answer
$200,000
Step-by-step explanation:
She invested $100,000
5% of $100,000 is $5,000.
After 20 years, (5,000 X 20 years) = $100,000
Starting balance of $100,000 + $100,000 = $200,000
The total amount in 20% with simple interest for over 20 years will be $200,00.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.
As per the given,
Principle amount P =$100000
Rate of interest R = 5%
Time period T = 20 years
Total amount = Principal amount + interest
Total amount = P + PRT/100
Total amount = 100000 + (100000 x 5 x 20)/100
Total amount = $200,000
Hence "The total amount in 20% with simple interest for over 20 years will be $200,00".
For more about simple interests
https://brainly.com/question/25845758
#SPJ3
Help? Question is above. 12 points
Answer:
Step-by-step explanation:
Q5) 4/9 is 0.4 recurring not just “0.4”
Q6) 6 and 7
Q7) 5.385
What’s the value of x?
12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc12ewrgfbrfc
The Hyperbolic Sine (sinh(x)) and Hyperbolic Cosine (cosh(x)) functions are defined as such: sin h(x) = e^x - e^-x/2 cosh(x) = e^x + e^-x/2 Compute the y-Intercept of both functions Then Determine the end behavior of these two functions by analyzing the limit as x goes to positive infinity and as x goes to negative infinity
Answer:
y-incercepts:
sinh(x):0, cosh(x)=1
Limits:
positive infinity: sinh(x): infinity, cosh(x): infinity
negative infinity: sinh(x): - infinity, cosh(x): infinity
Step-by-step explanation:
We are given that
[tex]\sinh(x)=\frac{e^{x}-e^{-x}}{2}[/tex]
[tex]\cosh(x)=\frac{e^{x}+e^{-x}}{2}[/tex]
To find out the y-incerpt of a function, we just need to replace x by 0. Recall that [tex]e^{0}=1[/tex]. Then,
[tex]\sinh(0) = \frac{1-1}{2}=0[/tex]
[tex]\cosh(0) = \frac{1+1}{2}=1 [/tex]
For the end behavior, recall the following:
[tex]\lim_{x\to \infty}e^{x} = \infty, \lim_{x\to \infty}e^{-x} = 0[/tex]
[tex]\lim_{x\to -\infty}e^{x} = 0, \lim_{x\to -\infty}e^{-x} = \infty[/tex]
Using the properties of limits, we have that
[tex]\lim_{x\to \infty} \sinh(x) =\frac{1}{2}(\lim_{x\to \infty}e^{x}-\lim_{x\to \infty}e^{-x})=(\infty -0) = \infty[/tex]
[tex]\lim_{x\to \infty} \cosh(x) =\frac{1}{2}(\lim_{x\to \infty}e^{x}+\lim_{x\to \infty}e^{-x}) =(\infty -0)= \infty[/tex]
[tex]\lim_{x\to -\infty} \sinh(x) =\frac{1}{2}(\lim_{x\to -\infty}e^{x}-\lim_{x\to -\infty}e^{-x}) = (0-\infty)=-\infty[/tex]
[tex]\lim_{x\to -\infty} \cosh(x) =\frac{1}{2}(\lim_{x\to -\infty}e^{x}+\lim_{x\to -\infty}e^{-x}) =(0+\infty)= \infty[/tex]
Marc and Michelle are married and earned salaries this year of $64,000 and $12,000, respectively. In addition to their salaries, they received interest of $350 from municipal bonds and $500 from corporate bonds. Marc contributed $2,500 to an individual retirement account, and Marc paid alimony to a prior spouse in the amount of $1,500. Marc and Michelle have a 10-year-old son, Matthew, who lived with them throughout the entire year. Thus, Marc and Michelle are allowed to claim a $2,000 child tax credit for Matthew. Marc and Michelle paid $6,000 of expenditures that qualify as itemized deductions and they had a total of $3,500 in federal income taxes withheld from their paychecks during the course of the year. What is Marc and Michelle's adjusted gross income?
Answer:
The total amount of deductions Marc and Michelle are going to get is $24750.
The taxable income of Marc and Michelle is $47750.
Further Explanation:
Income Tax: It is the additional charge on an individual’s income which he/she needs to pay to the government. The taxable income is calculated by adding all the incomes and deducting all the deductions which an individual can claim on his/her income.
Compute the total amount of deductions available for Marc and Michelle:
Total Deduction Available
= Higher of Standard Deduction for MJF and Itemized Deduction + Personal and Dependency Exemptions
= Higher of $12600 and $6000 + $12150 ($4050×3)
= $12600 + $12150
=$24750.
Therefore, the total deductions available to Marc and Michelle are $24750.
Gross Income of Marc and Michelle
= Salary of Marc + Salary of Michelle + Interest Earned on Corporate Bonds
= $64000 + $12000 + 500
= $76500.
Total Taxable Income of Marc and Michelle
= Gross Income – Qualified Moving Expenses – Alimony Paid – Total Deductions
= $76500 - $2500 - $1500 - $$24750
= $47750.
Therefore, the total taxable income of Marc and Michelle is $47750.
Learn More:
1. Learn more about the tax on the profit from selling the fixed assets
brainly.com/question/2617534
2. Learn more about the personal tax
brainly.com/question/1762937
3. Learn more about the role of money
brainly.com/question/12984919
Answer details:
Grade: Senior School
Subject: Taxation
Chapter: Income Tax
Keywords: Taxable income, Marc and Michelle, Deductions, salary income, earned, corporate bond interest, interest on municipal bond, standard deductions, US tax brackets.
happy to help ya :)
The rental of the ice is $75, plus $3 per skater. Write an expression for the cost in dollars for n skaters.
Question 2) A 7-pack of scented candles costs $6.51. What is the unit price?
$45.57
$0.93
$1.07
$0.49
Answer:
$0.93
Step-by-step explanation:
6.51 / 7 = 0.93
Pump A can fill a tank in 8 hours. Pump B can fill the tank in 6 hours. How long will it
take to fill the tank using both pumps? Round answers to the nearest tenth if
necessary.
Answer: 1.3 hours
Step-by-step explanation: I believe it’s 1.3 hours since Pump A can fill a tank in 8 hours, and Pump B can fill a tank in 6 hours, then you divide 8 and 6 which is about 1.333.
Answer:
3.43 hours
Step-by-step explanation:
For every hour, Pump A can fill 1/8 tank and pump B can fill 1/6 tank.
For every hour, both pump A and pump B can fill:
1/8 + 1/6 = 14/48 = 7/24 (tank)
It will take: 1 : 7/24 = 24/7 ≈ 3.43 (hours)
the table below shows the heights of several books. Jean stacks a dictionary on top of her novel. how high is the stack of the two books.
table
novel: 3/4
dictionary:4 1/2
A. between 4 1/2 and 5 inches
B between 5 1/2 and 6 inches
C. between 5 and 5 1/2 inches
FIRST TO ANSWER wILL BE MARKED BRAINLEST AND WILL GET 5 STARS
Answer:between 5 and 5 1/2 inches
Step-by-step explanation:
Factor x3 ‒ 11x2 ‒ 7x + 77 by grouping. What is the resulting expression?
a
(x2 ‒ 7)(x ‒ 11)
b
(x2 ‒ 7)(x + 11)
c
(x2 ‒ 11)(x + 7)
d
(x2 ‒ 11)(x ‒ 7)
Answer:
A. [tex](x^{2}-7)\cdot (x-11)[/tex]
Step-by-step explanation:
The third order polynomial is factored herein:
[tex]x^{2}\cdot (x-11) - 7\cdot (x-11)[/tex]
[tex](x^{2}-7)\cdot (x-11)[/tex]
Which represents answer A.
Suppose a classroom teacher wants to measure whether offering candy as a reward will increase the number of times that a student raises his/her hand to answer a question in class. A study yields the following data.Row C1 C21 9 122 7 83 15 144 10 115 8 7If column 1 is the number of times that a student raised their hand to answer a question before the candy reward was implemented, and column 2 is the number of times that the same students raised their hands to answer questions after the candy reward was implemented, which of the following is the appropriate inference method to analyze these data?A) Inference for regressionB) Two independent samples C) Matched pairs
Answer:
C) Matched pairs
Step-by-step explanation:
Matched samples (also called matched pairs, paired samples or dependent samples) is a type of sampling that involves pairing participants that share every characteristic except for the one under study. The paired participants could be same individuals studied at different time such as:
The study of same participants before and after an interference. The study of the same participants at two different interference. Determinaţi lungimea diagonalei unui pătrat cu latura de 6 cm
Answer: 8.49cm
Step-by-step explanation:
Given Data:
Let a be no of side = 6
Therefore
d = √2 * a
d = √2 * 6
d = 1.4142 * 6
d = 8.49cm
The diagonal is 8.49cm
Answer:
The length of the diagonal of a square of length 6 cm is 6√2 cm = 8.485 cm
Step-by-step explanation:
English Translation
Determine the length of the diagonal of a square with a side of 6 cm.
Solution
Let the length of the diagonal be d.
And the length of each side of the square be s.
Note that s = 6 cm
The two sides of the square and the diagonal form a right angled triangle with the diagonal serving as the hypotenuse.
Using Pythagoras theorem, the square of the hypotenuse is equal to the sum of the individual squares of the two other sides of the right angled triangle.
d² = s² + s²
d² = 2s²
d = √(2s²)
d = s √2
note that s = 6 cm
d = 6 × √2 = 6√2 cm = 8.485 cm
Hope this Helps!!!
Which detail supports the author's point that our senses lack precision?
"Some people boast of having a sixth sense..."
"Among our five senses, sight is the most special to us."
"Our .. eyes have no trouble spotting a lone match... across a darkened auditorium."
"Increase it (a sound's volume] by a factor of 2 and you will barely notice."
Answer:
"Some people boast of having a sixth sense..."
Step-by-step explanation:
The author of these statements emphasised that our senses lack precision with the statement - "Some people boast of having a sixth sense..."
This implies that no one of the five senses (smell, touch, taste, hearing, and sight) is being used for an action. Rather an intuitive sixth sense is being used. So the five senses lack precision.
The other options emphasise various senses:
- "Among our five senses, sight is the most special to us." Emphasises sight.is precise
- "Our .. eyes have no trouble spotting a lone match... across a darkened auditorium." Implies sight is precise
- "Increase it (a sound's volume] by a factor of 2 and you will barely notice." Implies precision of hearing. An increase by a factor of 2 is imperceptible
The power goes out as Sandra is trying to get dressed. If she has 1 white T-shirts and 19 colored T-shirts in her drawer, is it likely that she will pick a colored T-shirt in the dark? What is the probability of Sandra picking a colored T-shirt? Complete the explanation to explain your answers. Enter the probability as a simplified fraction.
Answer:
yes it is likely. the chances of her getting a colored shirt is 95% or 19/20
A basketball player has made 60% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight's game he does the following. a) Misses for the first time on his sixth attempt b) Makes his first basket on his fifth shot c) Makes his first basket on one of his first 3 shots a) The probability that in tonight's game the basketball player misses for the first time on his sixth attempt is
Answer:
a) The probability that in tonight's game the basketball player misses for the first time on his sixth attempt is 0.0311 = 3.11%.
b) The probability that in tonight's game the basketball player makes his first basket on his fifth shot is 0.0154 = 1.54%.
c) The probability that in tonight's game the basketball player makes his first basket on one of his first 3 shots is 0.936 = 93.6%.
Step-by-step explanation:
For each shot, there are only two possible outcomes. Either the player makes it, or he does not. The probability of making a shot is independent of other shots. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A basketball player has made 60% of his foul shots during the season.
This means that [tex]p = 0.6[/tex]
a) Misses for the first time on his sixth attempt
Makes the first five, which is P(X = 5) when n = 5.
Misses the sixth, with probability = 1-0.6 = 0.4.
So
[tex]p = 0.4P(X = 5)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]p = 0.4P(X = 5) = 0.4*(C_{5,5}.(0.6)^{5}.(0.4)^{0}) = 0.0311[/tex]
The probability that in tonight's game the basketball player misses for the first time on his sixth attempt is 0.0311 = 3.11%.
b) Makes his first basket on his fifth shot
Misses the first four, which is P(X = 0) when n = 4.
Makes the fifth, with a probability of 0.6.
So
So
[tex]p = 0.6P(X = 0)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]p = 0.6P(X = 0) = 0.6*(C_{4,0}.(0.6)^{0}.(0.4)^{4}) = 0.0154[/tex]
The probability that in tonight's game the basketball player makes his first basket on his fifth shot is 0.0154 = 1.54%.
c) Makes his first basket on one of his first 3 shots
Either he makes his first basket on one of his first 3 shots, or he misses all of them. The sum of these probabilities is decimal 1.
Misses the first three:
P(X = 0) when n = 3. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.6)^{0}.(0.4)^{3} = 0.064[/tex]
Makes on one of his first three:
1 - 0.064 = 0.936
The probability that in tonight's game the basketball player makes his first basket on one of his first 3 shots is 0.936 = 93.6%.
Answer:
Step-by-step explanation:
The probability that the basket player made a foul shot is 60% which is 0.60
Then the probability of good shot is 1 - 0.60 = 0.40
P = 0.40
a) the probability that the basket player misses for the first time on his sixth attempt is
P (first time on his sixth attempt) = (1 - P)⁵ (P)
= (1 - 0.4)⁵(0.4)
= (0.6)⁵(0.4)
= 0.07776 * 0.4
= 0.031104
≅ 0.0311
The probability that the basketball player misses for the first time on his sixth attempt is 0.0311
b) P(first basket on his fifth shot) = (1 - P)³ (P)
= (1 - 0.4)⁴(0.4)
= (0.60)⁴(0.4)
= 0.0518
c) The probability of making his first basket in first shot is 0.6
and the probability of making his first basket in second shot is
0.6 * 0.4 = 0.24
the probability of making his first basket in third shot is
0.6 * 0.4² = 0.096
So, the probability that the player makes his first basket on one of his first 3 shots is
= 0.6 + 0.24 + 0.096
= 0.936
Thus, the probability that in tonight's game the basketball player makes his first basket on one of his first 3 shots is 0.936
100 POINTS PLEASE HELP IM BEGGING U I NEED TO PASS (summer school)
Answer:
choice 3 3√7
Step-by-step explanation:
Answer:
3√7.... that the answer
−2z+10+7z=16z+7
How many solutions does the following equation have?
-2z+10+7z = 16z+7
Simplify the left side:
5z+10 = 16z +7
Subtract 5z from both sides:
10 = 11z + 7
Subtract 7 from both sides:
3 = 11z
Divide both sides by 11
Z = 3/11
There is only one solution, which is z= 3/11
Steps to solve:
−2z + 10 + 7z = 16z + 7
~Combine like terms
(-2z + 7z) + 10 = 16z + 7
~Simplify
5z + 10 = 16z + 7
~Subtract 16z to both sides
5z - 16z + 10 = 16z - 16z + 7
~Simplify
-11z + 10 = 7
~Subtract 10 to both sides
-11z + 10 - 10 = 7 - 10
~Simplify
-11z = -3
~Divide -11 to both sides
-11z/-11 = -3/-11
~Simplify
z = 3/11
Best of Luck!
What are two ratios equivalent to 5/12?
Answer:
10/24 15/36
Step-by-step explanation:
you can just multiply each one by the same number
Answer:
5:12, 10:24
Step-by-step explanation:
You can convert fractions into ratios with x/y ⇒x:y
5/12 = 5:12
5/12 x 2 = 10/24
10/24 = 10:24
someone reported my answer -_-
100 PTS PLEASE HELP IM BEGGING YOUU
Answer:
3√5 thats the answer i glad yo me helping you
The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 0) and (8, 2). A small triangle has a rise of 1 and run of 4, and a larger triangle has a rise of 2 and run of 8. Which expression finds the equation of the line? StartFraction y Over x EndFraction = one-fourth StartFraction y Over 4 EndFraction = StartFraction x Over 1 EndFraction StartFraction y Over x EndFraction = StartFraction 4 Over 1 EndFraction StartFraction y Over 1 EndFraction = StartFraction 4 Over x EndFraction
Answer:
[tex]\dfrac{y}{x}=\dfrac{1}{4}[/tex]
Step-by-step explanation:
When the line goes through the origin (0, 0), we can say that y is proportional to x. Then the ratio of y (the vertical measure) to x (the horizontal measure) is the same as the ratio of "rise" (the vertical change) to "run" (the horizontal change).
y/x = rise/run = 1/4
The equation of the line is ...
y/x = 1/4
Answer:
Th answer is C
Step-by-step explanation:
If f(x)=9x+2, for what value of x is the value of the function 29?
Answer:
The answer is 3.
Step-by-step explanation:
In oder to find the value of x you have to let f(x) = 29 :
[tex]f(x) = 9x + 2[/tex]
Let f(x) = 29
[tex]9x + 2 = 29[/tex]
Next, you have to solve x by substracting 2 and divide 9 to both sides :
[tex]9x + 2 = 29[/tex]
[tex]9x + 2 - 2 = 29 - 2[/tex]
[tex]9x = 27[/tex]
[tex]9x \div 9 = 27 \div 9[/tex]
[tex]x = 3[/tex]
Answer:
Answer shown below.
Step-by-step explanation:
For 29;
It means f(x)= 9x + 2 =29
Therefore; 9x =29-2=27
9x = 27
X=27/9
x=3
Two students were asked to use estimation strategies to find
a reasonable solution to this question:
A market sells blueberries for $3 per pint. The first day, the
market sold a total of $35 worth of blueberries. The second
day, the market sold a total of $47 worth of blueberries. And
the third day, the market sold a total of $57 worth of
blueberries. Estimate how many pints the market sold over
the three days
Answer:
15.45 pints on average
46.34 pints total
Step-by-step explanation:
To find out on average how many pints he sold in those 3 days, we must first calculate how many pints per day, knowing that $ 3 is a pint.
So,
first day
3/35 = 11.67
second day:
47/3 = 15.67
third day:
57/3 = 19
then the average would be:
(11.67 + 15.67 + 19) / 3 = 15.45
That is to say that on average 15.45 pints were sold in those 3 days
Or what is equal to having sold in those 3 days 46.34 pints
Which of the following are considered income?
Select all that apply.
student loan interest
wages
credit card interest
allowance
Answer:
Wages
Step-by-step explanation:
Answer:
2. Wages
4. Allowance
Step-by-step explanation:
very simple question I wish I saw this earlier so I could help. Can I please get brainliest.
尺蛾翅蛾。(thank you.)
A bicycle club logged 9,860 miles. If the
29 members of the club each rode the
same number of miles, how many miles
did each member ride?
Answer:
[tex]340[/tex] miles,
Step-by-step explanation:
To find out how many miles each person rode, divide the total number by how many people there were.
[tex]9860 / 29 = 340[/tex]
Each person rode [tex]340[/tex] miles.