Answer:
it is a relationship where the first difference is equal and the second difference is 0
if a right triangle has lengths 99 inches, 101 inches and 20 inches, what is the length of the hypotenuse
Answer:
The hypotenuse is 10201
Step-by-step explanation:
20^2+99^2=101^2
400+9801=10201
10201=10201
Write an equation of the line that passes through (7, 10) and is perpendicular to the line y = 1x – 9.
Answer:
y = - x + 17
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 9 ← is in slope intercept form
with slope m = 1
Given a line with slope m then the slope of a line perpendicular to it is
\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{1}\) = - 1 , thus
y = - x + c ← is the partial equation
To find c substitute (7, 10) into the partial equation
10 = - 7 + c ⇒ c = 10 + 7 = 17
y = - x + 17 ← equation of perpendicular line
raven is planning a bridal shower for her best friend. at the party, she wants to serve 3 beverages, 3 appetizers, and 2 desserts, but she does not have time to cook. she can choose from 19 bottled drinks, 12 frozen appetizers, and 8 prepared desserts at the supermarket. how many different ways can raven pick the food and drinks to serve at the bridal shower?
To get the total number of different ways, multiply 1,536 x 18 = 7,344.
7,344 different ways. Raven has 19 choices for drinks, 12 choices for appetizers, and 8 choices for desserts. The formula for calculating the number of different ways is 19 x 12 x 8 = 1,536. Since Raven needs to pick 3 drinks, 3 appetizers, and 2 desserts, the formula is 3 x 3 x 2 = 18. To get the total number of different ways, multiply 1,536 x 18 = 7,344.
The formula can be used to calculate the number of different ways to combine any number of choices. For example, if Raven had 24 choices for drinks, 15 choices for appetizers, and 7 choices for desserts, the formula would become 24 x 15 x 7 = 3,240. If Raven still had to pick 3 drinks, 3 appetizers, and 2 desserts, the total would be 3 x 3 x 2 = 18. Multiplying 3,240 x 18 = 57,720 different ways.
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Solve the problem. Round dollar amounts to the nearest cent. Use ordinary interest (360 days in a year) unless otherwise indicated. Chris Owens bought a new computer system. To pay for the system, he borrowed $3,290 from the credit union at 10(1/3)% interest for 110 days. Find the interest.
To find the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days, we use the simple interest formula as follows:
Simple Interest = (P × R × T)/100Where:P = Principal or amount borrowedR = Rate of interest per annumT = Time in years or fraction of a year110 days ÷ 360 days = 0.3056 (time as a fraction of a year)The rate of interest, 10(1/3)% is equal to 10 + (1/3) percent = 10.33% per annum in decimal form = 0.1033Substituting the values we have into the formula,Simple Interest = (P × R × T)/100= (3,290 × 0.1033 × 0.3056)/100= $100.68 (rounded to the nearest cent)
Therefore, the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68.
A credit union loan is a type of personal loan that can be used for a variety of purposes. One of the most common reasons people take out credit union loans is to purchase big-ticket items like a new computer system. When you take out a loan, you must pay back the amount borrowed plus the interest charged by the lender. The interest rate is usually expressed as a percentage of the amount borrowed and is charged for a specific period of time known as the loan term. Simple interest is a method of calculating interest that is charged only on the principal amount borrowed.
It does not take into account the interest that has already been paid. Simple interest is calculated by multiplying the principal amount borrowed by the interest rate and the length of the loan term. The answer is more than 100 words.The interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68. Therefore, he would pay $3,290 + $100.68 = $3,390.68 in total to the credit union over the loan term. It is important to note that when rounding dollar amounts to the nearest cent, amounts that end in .50 or higher are rounded up to the next highest cent, while amounts that end in .49 or lower are rounded down to the next lowest cent. In this case, $100.6847 would be rounded up to $100.68. In conclusion, the interest charged on a loan can significantly increase the total amount that must be repaid, making it important for borrowers to understand how interest is calculated and the terms of their loan.
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a. the letter on the back will be D
the letter on the bottom with be E
b. the letter on the back will be A
the letter on the bottoms will be D
Answer: B
from the first image, the opposite of B is D. so whenever its rotated somehow, D is going to fall on the opposite of B. Therefore when B is at the top, D should be at the opposite on the bottom. Thus we found our answer. B is the correct answer. others are eliminated.
LT 18.1
The radius of Circle A below is 11 millimeters and the measure of < BAC is 60°.
What is the length of Arc BC, to the nearest millimeter?
A. 12 mm
B. 24 mm
C. 6 mm
D. 3 mm
\(\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=11\\ \theta =60 \end{cases}\implies s=\cfrac{(60)\pi (11)}{180}\implies s=\cfrac{11\pi }{3}\implies s\approx 12~mm\)
Answer: 12mm
Step-by-step explanation:
Basically, you will find the circumference of the entire circle and then using that find the length of the arc.
So the circumference of the circle is its radius (11) times pi multiplied by 2.
2(11 x 3.14) = 69.08
Now a circle is always 360 degrees and the angle of the sector is 60 degrees.
So we have our circumference and we only need that small portion, so you take and make it a fraction and multiply by the circumference to find the length of that small portion:
60/360 x 69.08 = 11.51
Rounded = 12
36. Given x is the score in the distribution. The interval of scores containing within one standard deviation from the mean is a < x < b. solve for a.
37. Given x is the score in the distribution. The interval of scores containing within one standard deviation from the mean is a < x < b. solve for b.
Given x is the score in the distribution. The interval of scores containing within one standard deviation from the mean is a < x < b. The solution for a and b are; a = x - SD and b = x + SD.
Let's see how we can solve these problems using the standard deviation and distribution.
36. To solve for a:
One standard deviation from the mean in a normal distribution includes about 68 percent of the scores.
Therefore, we know that:
P(mean - SD < x < mean + SD) = 68%. Where, SD = standard deviation of the distribution.
Therefore, to find a, we need to subtract SD from the mean.
So, a = mean - SD.
Distribution:
a < x < b
P(mean - SD < x < mean + SD) = 68%
Mean is x in this case; so:
P(x - SD < x < x + SD) = 68%
Now, solve for a by subtracting SD from x:
x - SD = a = x - SD
37). To solve for b.
From the previous problem,
we have: P(x - SD < x < x + SD) = 68%
To find b, we need to add SD to x
So, b = x + SD
Substitute the values of SD and x to get the value of b.
Distribution: a < x < b
P(mean - SD < x < mean + SD) = 68%
P(x - SD < x < x + SD) = 68%
So,
a = x - SD and b = x + SD.
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36. The value of a is µ - σ for the interval of scores containing within one standard deviation from the mean is a < x < b.
37. The value of b is µ + σ for the interval of scores containing within one standard deviation from the mean is a < x < b.
Explanation:
Given that x is the score in the distribution. The interval of scores containing within one standard deviation from the mean is a < x < b. We need to find the values of a and b.
Formula used:
µ ± σ,
where µ = mean
σ = standard deviation.
Using this formula we can write:
µ - σ < x < µ + σ
36.
Given that x is the score in the distribution.
The interval of scores containing within one standard deviation from the mean is a < x < b.
Substitute the above formula in the given expression: µ - σ < x
a = µ - σ
µ - σ = a + σ
a = µ - σ
Thus, the value of a is µ - σ.
37.
Given that x is the score in the distribution.
The interval of scores containing within one standard deviation from the mean is a < x < b.
solve for b.
Substitute the above formula in the given expression:
xa < µ + σ
b = µ + σ
µ + σ = b - σ
b = µ + σ
Thus, the value of b is µ + σ.
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Can someone please help me with every question and write the steps you used to solve them PLEASE AND THANK YOU I NEED IT AS SOON AS POSSIBLE
Answer:
Step-by-step explanation:
blb
a social security number contains nine digits, such as 010-50-0257. how many different social security numbers can be formed?
The total number of social security numbers that are possible are 900,000,000.
In the social security number first digit can only fall between 1 and 9, leaving us only nine options because the first three digits cannot all be zeros. There are still 10 possibilities for each of the second and third digits because they may both still be any integer between 0 and 9.
Therefore, the total number of different social security numbers that can be formed is using the combinations,
= 9 × 10⁸
= 900,000,000
So, there are 900,000,000 different possible social security numbers.
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the probility of alvins mother will server rice with dinner is 0.78 the probilty that she will server carrots is with dinner is 0.30
The probability of both rice and carrots being served with dinner is 23.4%.
The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.
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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 30 meters cubed. What is the volume of the sphere?
10 meters cubed
20 meters cubed
30 meters cubed
40 meters cubed
The temperature was 8℉. It dropped so that the temperature was 0℉. What integer represents the change in temperature?
Answer:
-8
Step-by-step explanation:
The temperature dropped 8 degree, resulting in a negative change. So the integer to represent it would be negative 8 degrees.
Find the gradient of the line segment between the points (-8,6) and (4,7).
Give your answer in its simplest form.
Answer:
Step-by-step explanation:
Gradient or slope = (7-6)/(4-(-8))
= 1/12
The gradient of a line is the same as the slope of the line.
The gradient of the line segment between the points (-8,6) and (4,7) is 1/12
The points are given as:
\((x,y) = \{(-8,6),(4,7)\}\)
The gradient (m) of a line segment is:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
So, we have:
\(m = \frac{7-6}{4-(-8)}\)
\(m = \frac{7-6}{4+8}\)
\(m = \frac{1}{12}\)
Hence, the gradient of the line segment is 1/12
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help me please!!! and show how you got it so I can understand
The scatter plot does not completely fit model(a), the sales will be 263.54 (b), and the year would be in 2012 (c).
Does the scatter plot fit the model?Let's see how accurate the plot is based on the year 15:
9.44 t + 84.182
9.44 (15) + 84.182
225.782
For this year, the graph shows a value of 222, which makes it slightly inaccurate.
How much will be the sales in 2014?2014 will be the year number 19 (2014 -1995) based on this, let's calculate the sales:
9.44 (19) + 84.182 = 263.54
When will the sales be $247 billion?s =9.44 t + 84.182
247 = 9.44 t + 84.182
247 - 84.182 = 9.44 t
162.818 = 9.44 t
t= 162.818 / 9.44
t= 17.2
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Sarah adds 3 to it, then doubles it and gets an answer of 52.4. What was the original number?
Answer: 6
Step-by-step explanation: 6 is my answer
(not
1. If & D is 42, find the measurements of the following angles:
& A-
B-
& C-
4 D-42
E-
4. F-
G-
& H-
If two of the angles of an oblique triangle are equal, the Law of Sines can be used to fill in the remaining lengths or angle measurements.
How do you find the measure of an angle A and B?In the accompanying diagram, two crossing lines are shown, with the angles 1 and 3 being vertical and congruent. In addition, the angles 2 and 4 are vertical and coincide. Vertical angles are two angles that are in opposition to one another, such as D and B in the illustration above.
The sum of the subsequent angles of a ||gm is A+B=180. To view an infinite number of solutions, download the app. Estimating ratios of a particular quantity is what it is. It is created by contrasting a given quantity with the reference unit. These are used to determine something's dimensions, including length, area, perimeter, volume, and amount. Measurement There are formulas for calculating length, area, surface area, volume, circumference, density, mass, etc.
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Complete question:
Which trigonometric law can be used if two of the angles of an oblique triangle are equal?
Do number 7 pleaseeee
Explanation:
Let's say 5 people get a lunch platter. The cost would be 7*5 = 35 dollars.
Or if 3 people got the lunch platter, then it would be 7*3 = 21 dollars
In general, the cost is 7p dollars where p is a placeholder for a whole number. So that's how we end up with c = 7p
If it is one platter per person, the following will be true,
Answer:
c = 7p
Step-by-step explanation:
This is because every time someone buys a platter, it adds $7 to the total cost
-> If two people buy a platter, it is 7 + 7, aka 7 *2
-> If three, it is 7 + 7 + 7 aka 7 * 3
Using this pattern, we can see that the total cost will be 7 times the number of people there.
We can put this into an equation by doing:
c = 7p
In a translation, the y-coordinates of the pre-image increase by 8. What was the translation?
8 units up
8 units right
8 units left
8 units down
Answer:
8 up
Step-by-step explanation:
What are some things that lincoln and Monica have in common in taking sides
set up the algebra tiles for each equation and take a snippet of it to submit, along with the work and the answer. 6x + 2 = 4x – 8
A coin is tossed 3 times. Find the probability of getting exactly two head
In this problem, we have a binomial probability distribution
so
n=3
p=0.50
q=0.50
Find out P(X=2)
\(P(X=2)=\frac{3!}{2!(3-2)!}*0.50^2*0.50^{(3-2)}\)P(X=2)=0.375In the diagram, OP = 2 and OP’ = 8.
Find the scale factor of the dilation.
1/4
1/2
4
6
Answer:
C Or 4
Step-by-step explanation:
Edge 2022
Answer:
the other person is correct, it is C. (4) :)
what is the value of the five? 5,409.367
Answer: 5,000
hope this helps
Answer:
5 thousand would be the answer
Step-by-step explanation:
the 5 is in the thousandths place
Michael is saving to buy his senior ring.
The base cost of the ring is $280 plus any
upgrades he wants to purchase. If he
saves $35 each month, which solution
represents how many months, x, it will
take Michael before he can purchase
his ring?
Answer:
35*x=280
Step-by-step explanation:
Answer:
x = 8
35 x 8 = 280
Step-by-step explanation:
find the value of 32½
Answer:
65 will be the correct answer
Step-by-step explanation:
32 1/2 may be a percentage. as such it is equivalent to 32.5 % or. 0.325.
32.5 % of 10 would be 3.25.
what is this expand 2(2x-3)
Answer:
4x - 6
Step-by-step explanation:
2 × 2x = 4x
2 × -3 = -6
4x -6
Answer:
hi
Step-by-step explanation:
\(2(2x - 3) \\ 4x - 6\)
hope it helps
have a nice day
what is 560.6928631 feet to the nearest foot ?
Answer:
561
Step-by-step explanation:
skillz
which one has only positive values? choose all applied. a. normal distribution b. z distribution c. chi square distribution d. f distribution e. t distribution
Option C (chi-square distribution) and Option D (F distribution) have only positive values.
The chi-square distribution is a continuous probability distribution that is used in statistical tests to compare observed data with expected data. It has only positive values and is right-skewed. It is commonly used in hypothesis testing, goodness-of-fit tests, and in confidence interval calculations.
The F distribution is also a continuous probability distribution that arises in the analysis of variance (ANOVA) and regression analysis. It is used to test the equality of variances of two or more populations. Like the chi-square distribution, it is also right-skewed and has only positive values.
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What is the area of the figure?
Which equation can be used to solve for b?
5 cm
tan(30°) =5/b
tan(30°)=b/5
tan(30°)=10/b
tan(30°) =b/10