Answer:
D. 1/(3^8)
Step-by-step explanation:
^^^This is the answer
Which represents the solution set of the inequality 5x-9≤21?
The circle below is centered at the point (3,-4) and has a radius of length 3.
What is its equation?
-5
D. (x-3)² + (y-4)² = 9
A. (x-4)² + (y+ 3)² =
32
B. (x+4)² + (v- 3)² =
32
C. (x-3)² + (y + 4)² = 9
The equation of the circle is given by (C) (x-3)² + (y + 4)² = 9
All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant. The radius of a circle is the separation between any point on the circle and its center.
The equation of the circle in the general form is given by the
(x-a)²+(y-b)²=r²
Where (a,b) is the co-ordinates of the center of the circle and the radius is r.
Now the center of the circle is given at (3,-4) and the radius is r.
We know that the general equation of a circle is \({\displaystyle (x-a)^{2}+(y-b)^{2}=r^{2}}\)
Substituting the values in the equation we get:
(x-3)²+(y-(-4))²=(3)²
or, (x-3)²+(y+4)²=9
Hence the equation of the circle is (x-3)² + (y + 4)² = 9.
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which equations matches y=2x=3
Answer:
where's the multiple choice?
Step-by-step explanation:
A factory fills bottles with a beverage, and each bottle is supposed to contain 500\text{ mL}500 mL500, start text, space, m, L, end text. Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml. She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml. Norah wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.
Required:
Calculate the test statistic for Norah's test.
Answer:
The test statistic for Norah's test is \(t = -2\)
Step-by-step explanation:
Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml.
This means that at the null hypothesis we test if the sample mean is 500 ml, that is:
\(H_0: \mu = 500\)
At the alternate hypothesis, we test if it is differente than 500 ml, that is:
\(H_a: \mu \neq 500\)
The test statistic is:
\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
500 is tested at the null hypothesis:
This means that \(\mu = 500\)
She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml.
This means that \(n = 16, X = 497, s = 6\)
Calculate the test statistic for Norah's test.
\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)
\(t = \frac{497 - 500}{\frac{6}{\sqrt{16}}}\)
\(t = -2\)
The test statistic for Norah's test is \(t = -2\)
Answer: -2
Step-by-step explanation: Khan
Decide whether the sets are equivalent {d: d is a month of the year} and {g : g is a state in the United States}
Answer:
Non equivalentStep-by-step explanation:
The equivalent between sets is determined by the number of elements. If two sets have the same number of elements, then they are equivalent sets.
In this case, a year has 12 months, and the US has 50 states. So, one month is not equal to 1 state because they have different natures and they represent a different proportion. A month represents 1/12 of a year and a state represents 1/50 of the total number of states.
The number of customers that visit a local small business is 41,014 and has been continuously declining at a rate of 1.5% each year. What is the approximate number of customers that visit the business in 19 years?
Answer:
30776.57Step-by-step explanation:
This problem is on exponential decay
we know that the expression for exponential formula is
\(y = ab^x.\)
where
a = the amount before measuring growth or decay
= 41,014
r = decay rate = 1.5%= 0.015
x = number of time intervals that have passed= 19years
since this problem is on decay we are going to replace "b" with (1-r),
hence the formula becomes
\(y = a(1-r)^x.\)
\(y=41014(1-0.23)^1^9 \\\\y=41014(0.985)^1^9 \\\\y=41014(0.985)^1^9\)
\(y=41014(0.985)^1^9\\\\y=41014*0.750392\\\\y= 30776.57\)
The approximate number of customers that visit the business in 19 years
is 30776.57
what's 1+1 wrong answers only if you guess 2 or 11 your done
Answer: 2
Step-by-step explanation:
Anybody want to help
6) 65 * 7200 /100 = 4680 $
7) OP=price/ (1− Discount percentage)
original price = 32.89 / (1- 0.85)
= 219.26 $
8)Let the total people in crew is x of which 8(66.2/3%) are men.
x *(66.2/3/ 100 ) =8 or
(x⋅200/3 )*(1 /100)=8 or
x=3 * (8/2)=12
there are 12 people in the crew
9) 12,800 * 15 /100 = 1920$ taken as taxes
Ling bought d donuts to share with coworkers. There were 6 donuts in each box. Write an expression that shows how many boxes of donuts Ling bought.
the expression would be used as follows:
Number of boxes of donuts (N) = 6 x Number of donuts (D)
Ling bought 108 boxes of donuts.
This expression is a mathematical equation that uses multiplication to calculate the number of boxes of donuts Ling bought.
What is mathematical equation?Equations are used to solve problems involving unknowns, such as how much a person owes for groceries or how many people are required to complete a certain task.
The expression that would show how many boxes of donuts Ling bought is:
Number of boxes of donuts (N) = 6 x Number of donuts (D)
In this expression, N represents the number of boxes of donuts Ling bought and D represents the number of donuts. This expression can be used to calculate the number of boxes of donuts Ling bought when the number of donuts is known.
For example, if Ling bought 18 donuts, the expression would be used as follows:
Number of boxes of donuts (N) = 6 x Number of donuts (D)
N = 6 x 18
N = 108
Therefore, Ling bought 108 boxes of donuts.
This expression is a mathematical equation that uses multiplication to calculate the number of boxes of donuts Ling bought. The expression can be used whenever the number of donuts is known and can be used to calculate the number of boxes of donuts Ling bought.
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7 to the power of 4/3 in radical form
Answer:
\((\sqrt[3]{7} )^4\)
Step-by-step explanation:
here's a tip!
to remember which part of the fractional exponent goes on the radical or which one is the exponent think of the simple \(\sqrt{x}\) which equals \(x^1/2\)
this way you can remember that which ever number is in the denominator of the fractional exponent goes onto the radical.
What is the value of X in the figure?
Enter your answer in the box.
X=
Answer:
x = 29 degrees
Step-by-step explanation:
First we know that x+61 = 90
Then we can subtract 61 by both sides x = 29
Therefore, your answer would be x = 29
Answer:
29 degrees
Step-by-step explanation:
3x ^ 2 = 1 / 3 x + 1
Answer:
What are you to find?
Step-by-step explanation:
Please state in your question and I will help you solve it. Thanks for your cooperation.
1. Use the expression 10 x ? where? represents a factor between 1 and 9. What is true about the digit in the ones place of each product? Explain.
what are they asking for?
We want to study a general product, and find information about the ones place.
We will see that the ones place is always zero.
We have the expression:
10×?
Where ? can be any number between 1 and 9 (only whole ones)
What is true about the digit of the ones place (the first digit at the left of the decimal point) in each product?
Let's give ? some different values and see what happens:
10×1 = 10
10×2 = 20
10×3 = 30
etc...
We can see that the ones place will always be equal to zero.
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The beginning balance of the check register was $492.88. During the month, deposits were made for $210 and $499.88. Checks were
written for $18.25, $19.82, and $309.82. What is the ending balance of the check register?
Note: Round your answer to 2 decimal places.
Answer:
$840.77
Step-by-step explanation:
what's 0/0, with full steps
Answer:
undefined
Step-by-step explanation:
division by zero is undefined
Division Property of zero
For any nonzero real number a
The quotient of "a" and 0 is undefined. That is a/0 is undefined
The following are the ages (years) of 5 people in a room: 22, 13, 17, 15, 17 A person enters the room. The mean age of the 6 people is now 17. What is the age of the person who entered the room?
Answer:
the 6th man's age is 58!
Step-by-step explanation:
First you have to find the mean of 22, 13, 17, 16, and 17, by first adding 22, 13, 17, 16, and 17 to get 85. Because mean is the numbers added up divided by the total amount of numbers, there are 5 numbers and then you have to divided 85 by 5.
After you get the mean of these numbers, find the other number which will level the mean to 17.
yes this was a lame explanation sorry i'm only in 7th grade and this is all new to me
Need help I can’t answer them
The triangles that translate to triangle X are A and F.
Triangle ABC is translated to triangle A'B'C', 5 square(s) to the right and 4 square(s) down.
How are triangles translated?Triangles can be translated by moving each of their vertices a certain distance in a certain direction. The distance and direction of the translation can be described using vector notation.
For example, a translation of a triangle by the vector <a, b> would move each vertex of the triangle a units to the right and b units up. The resulting translated triangle would have the same shape and size as the original triangle, but would be located in a different position in the plane.
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Image transcribed:
Select all of the triangles below which are translations of triangle X.
Triangle ABC is translated to triangle A'B'C'.
Fill in the gaps below to describe the translation.
Triangle ABC is translated to triangle A'B'C'.
Fill in the gaps below to describe the translation.
___ square(s) to the left/right and ___ square(s) up/down
A
B
C
A'
B'
C'
In the standard equation for a conic section Ax2 + Bxy + Cy2 + Dx + Ey + F = 0, if A = C , the conic section in question is a circle
True
False
Find the range of the number of points scored.
Range: – =
answer is 56, 41, 15
Jim began a 86-mile bicycle trip to build up stamina for a triathlon competition. Unfortunately, his bicycle chain broke,
so he finished the trip walking. The whole trip took 4 hours. If Jim walks at a rate of 4 miles per hour and rides at 32
miles per hour, find the amount of time he spent on the bicycle.
The amount of time he spent on the bicycle is; 2.5 hours
How to solve algebra word problems?
The formula that shows the relationship between distance, speed and time is;
distance = velocity * time
Let W = walking time
B = bicycling time
Thus, from the given data we have;
86 = 4W + 32B
W + B = 4
W = 4 - B substitute 6-B for W in 86 = 4W + 32B to get;
86 = 4(4 - B) + 32B
86 = 16 - 4B + 32B
86 = 16 + 28B
70 = 28B
B = 70/28
B = 2.5 hours on the bicycle
W = 4 - 2.5= 1.5 hours walking
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The sum of three numbers is 110. The third number is 4 times the second. The first number is 10 less than the second. What are the numbers?
Answer:
This is a bit confusing for me but here we go.
1x110
10x11 and
i don't really know the third
Step-by-step explanation:
PLEASE HELP ME ANSWER THIS QUESTION ASAP!!
Answer:
7z + 17
Step-by-step explanation:
Like terms
All the numbers without letters are like terms
All the numbers with letters are like terms
Since we have 2 numbers without letters, we'll combine those.
15 + 2 = 17
Since there's only one number with letters, we can keep it the same since there's no others to combine it with
7z + 17
The Indian Ocean covers 2.808 x 10^7 square miles. Colorado covers 1.04 x 10^5 square miles. How many times bigger than Colorado is the Indian Ocean?
Approximately 2.7 times bigger
Approximately 27 times bigger
Approximately 270 times bigger
Approximately 27000 bigger
Answer:
Approximately 27 times bigger
Step-by-step explanation:
A truck driver travels 400 miles on day one and 215 miles on day two. The driver spent a total of 10 hours and 12 minutes driving on the two days. What was the truck driver's average speed in miles per hour (mph)? (Round to the nearest tenth.)
Answer:37.5 average
Step-by-step explanation:I think
Approximately 19% of physics majors in the US are women. To test whether your college differs significantly from the national average, you take a random sample of 50 physics majors at your college and find that 11 are female. Calculate the appropriate test statistic to determine whether your college differs significantly from the national rate
Testing the hypothesis, it is found that the appropriate test statistic is z = 0.54.
At the null hypothesis, it is tested if the proportion of women physics majors in your college is the same as the national average of 19%, that is:
\(H_0: p = 0.19\)
At the alternative hypothesis, it is tested if the proportion is different, that is:
\(H_1: p \neq 0.19\)
The test statistic is given by:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
In which:
\(\overline{p}\) is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
\(p = 0.19, n = 50, \overline{p} = \frac{11}{50} = 0.22\)
Hence, the value of the test statistic is:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
\(z = \frac{0.22 - 0.19}{\sqrt{\frac{0.19(0.81)}{50}}}\)
\(z = 0.54\)
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4 + (-13)
Yajmmsmssjsjsjjsnssnsnnsnsxxdddddddd
Answer:
-9
Step-by-step explanation:
4 + (-13)
=> 4 - 13
=> -9
Find the x-intercepts of the graph.
20
X =
10
y
2
4
y=-3x² + 14x + 5
], x=
X
X
The x-intercept of the function is (-1/3, 0) and (5, 0)
Given is a graph of a parabola having equation y = -3x²+14x+5, we need to find the x-intercept of the graph,
So to find the x-intercept put y = 0,
Therefore,
-3x²+14x+5 = 0
-3x²+15x-x+5 = 0
-3x(x-5)-1(x-5) = 0
(-3x-1)(x-5) = 0
Therefore,
x = -1/3 and x = 5
Hence the x-intercept of the function is (-1/3, 0) and (5, 0)
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Bean Seed Growth Temp 25 20 15 10 Days S 7 9 If the trend continues, how many days will it take at 10 degrees?
The needed number of days at 10 degrees is given as follows:
11 days.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:
m = -2/5
m = -0.4.
Hence the time needed for a temperature of 10 degrees is given as follows:
9 + 2 = 11 days.
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6x^2+7+x-x^2 what is this ?
Answer:
5x^2 + x + 7.
Step-by-step explanation:
6x^2 + 7 + x - x^2
= (6x^2 - x^2) + (x + 7) // Rearranging the terms
= 5x^2 + x + 7
So, 6x^2 + 7 + x - x^2 simplifies to 5x^2 + x + 7.
Please awnser asap I am
Stuck
Answer:
it is too blury to read
Step-by-step explanation: