Determine the equation of a circle with center at (8, 10) and radius 6.
Answer:
(x – 8)2 + (y – 10)2 = 36
Step-by-step explanation:I took the test
The equation of a circle with center at [tex](8, 10)[/tex] and radius [tex]6[/tex] will be
[tex](x-8)^2+(y-10)^2=36[/tex] which is given in option [tex](3)[/tex] .
What is equation of a circle ?Equation of a circle is written in the form [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center and [tex]r[/tex] is the radius.
We have,
The center at [tex](8, 10)[/tex] and radius is [tex]6[/tex] .
i.e.
[tex]h=8[/tex]
[tex]k=10[/tex]
[tex]r=6[/tex]
So, using the above given equation,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Putting the above values in this equation
We get,
[tex](x-8)^2+(y-10)^2=(6)^2[/tex]
i.e.
[tex](x-8)^2+(y-10)^2=36[/tex]
This is the equation of a circle which is derived using the above given equation.
Hence, we can say that the equation of a circle with center at [tex](8, 10)[/tex] and radius [tex]6[/tex] will be [tex](x-8)^2+(y-10)^2=36[/tex] which is given in option [tex](3)[/tex] .
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HELP PLz it is hard answer both of them
Answer:
6. 162
7. c
Step-by-step explanation:
Answer:
6. 162
7. C
Step-by-step explanation:
6. Replace the values of a and b into the expression:
8a + 6b = 8(12) + 6(11)
= 96 + 66
= 162
7. The distributive property states that whatever is outside a bracket must be multiplied to ALL terms in the brackets:
5(2f+4) = (5 × 2f) + (5 × 4)
= 10f + 20
A die is rolled 25 times and 12 evens are observed. Calculate and interpret a 95% confidence interval to estimate the true proportion of evens rolled on a die.
Answer:
The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 25, \pi = \frac{12}{25} = 0.48[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.2842[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.6758[/tex]
The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758
Emma needs 2 pounds of ground meat to make a meatloaf. She goes to Brodies and finds one package of meatloaf with 2.56 pounds and another package with 2.09 pounds. She uses rounding to the nearest whole. Which package should she choose to get closer to 2 pounds? Explain.
Answer:
package with 2.09 pounds
Step-by-step explanation:
When rounding to the nearest whole number, if the first number after the decimal point is equal or greater than 5, add 1 to the number before the decimal. If this is not the case, add 0 to the number before the decimal point.
to round 2.56 to the nearest whole number equals 3.
While to round 2.09 to the nearest whole number equals 2.
Because Emma needs 2 pounds, she would go with 2.09 pounds
Kaitlyn loves to read. She reads 90 pages in half an hour. How many pages does she read per minute?
Answer:
3 pages/minute
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
a hour is 60 minutes so half of that is 30 30÷90=3
4 In Ms. Smith's class of 26 students, 12 wear glasses. What is the ratio of students who
wear glasses to those who don't?
A. 12:26
B. 26:12
C. 12:14
D. 4:12
Answer:
C
Step-by-step explanation:
A spinner is divided into equal sections that are labeled with integer values.
What is the probability of the arrow NOT landing on a section labeled with a positive number if the spinner is spun one time?
Answer:
1/2
Step-by-step explanation:
look at all the numbers then look at only the negatives which are 2 then count the positive ones which are 4 from those numbers you get 2/4 simplify it, and you get 1/2.
Are the polygons similar? If they are, write a similarity statement and give the scale factor .
Please somebody help me
Answer:
For the polygons to be similar, both these ratios must be equal which is the required scale factor. So, the given polygons are not similar.
Step-by-step explanation:
Answer:
a. not similar
b. similar, ABCDE ~ SRVUT, scale factor: 2
Step-by-step explanation:
how do I solve this 2 step equationn?
g/3 + 11 = 25
Answer: hope it helps!
Step-by-step explanation:
g/3 + 11=25
- 11
g/3 = 14/3
g= 4.66666666667 (rounded to 5)
Please help ASAP !!!
HELP I WILL MARK BRAINLIESTTTTT
Answer:
see explanation-
Step-by-step explanation:
6 bagles is $2.50
and the the amount of bagles for $50 is 40 as 4*12 = 48
Answer:
1. $2.50
2. should be 120 bagels
Step-by-step explanation:
URGENT! Can someone please help me?
Answer:
An equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]
Option A is correct.
Step-by-step explanation:
A circle in the xy-plane has centre (5,7) and radius 2. Which of the following is an equation of the circle.
The equation of circle is of form: [tex](x-h)^2+(x-k)^2=r^2[/tex] where (h,k) is centre and r is radius.
We have centre (5,7) so, we have h = 5 and k = 7
We have radius = 2 so, r = 2
Putting values in the equation and finding the required equation:
[tex](x-h)^2+(x-k)^2=r^2\\(x-5)^2+(x-7)^2=(2)^2\\(x-5)^2+(x-7)^2=4[/tex]
So, an equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]
Option A is correct.
Which spinner could not be used to simulate a baby being born male or female. a spinner 2 equal section. A spinner with 3 equal sections. a spinner with 6 equal sections. A spinner with 10 equal sections
Answer:
C spinner with 7 equal sides
Step-by-step explanation:
28,46,25,76,18,25,47,83,44 what's the median,first quartile,third quartile, and interquartile range
Answer:
median: 44
first quartile: 25
third quartile: 61.5
interquartile range: 36.5
Step-by-step explanation:
For the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.
What is the interquartile range?The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.
Formula to find the interquartile range is Interquartile range = Upper Quartile - Lower Quartile =Q2=Q3-Q1
The given date set is 28,46,25,76,18,25,47,83,44.
The data in order 18,25,25,28,44,46,47,76,83.
Here,
Median =44
First quartile=Q₁=25
Third quartile=Q₃= (47+76)/2
= 61.5
Now, interquartile range (IQR)
= Q₃-Q₁
= 61.5-25
= 36.5
Therefore, for the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.
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Please help this is so hard!!
Answer:
x is corresponding with the angle that equals 130 so it equals 130 too
Step-by-step explanation:
The volume of a cylinder is 176 cm and its height is 11 cm,
What is the length of the cylinder's radius?
Answer:
4cm
Step-by-step explanation:
The volume of the cylinder is the product of the area of the base and the height. In mathematical equation, this can be written as,
V = πr²h
where V is volume, r is the radius, and h is the height.
Substituting the known values from the given,
176π cm³ = πr²(11 cm)
Item 9 Forty-five basketball players participate in a tournament. Write and solve an equation to find the number x of 3-person teams that they can form. An equation that represents this problem is =45. They can form 3-person teams.
Answer: See explanation
Step-by-step explanation:
Since forty-five basketball players participated in the tournament and a 3-person team wants to be formed, the equation to find the number x of 3-person teams that they can form will be:
3x = 45
x = 45/3
x = 15
Therefore, 15 3-person team can be formed.
Identify the angle pair given the transversal
find the values of z and y pls .
Answer: Y=105 Z=28
Step-by-step explanation: i believe these are correct.
what is the discriminant of -2x to the power of 2 -x-1=0
keith has $15 more than jay. if keith has $87, how much money does jay have?
Answer:
Jay has $72
Step-by-step explanation:
$87-$15=$72
Answer: Jay has $72.
Step-by-step explanation: It's basically a subtraction problem. You are subtracting 87-15 and getting 72.
yler bought snacks for his team's practice. He bought a bag of oranges for $1.94 and a 24-pack of juice bottles. The total cost before tax was $43.22. Write and solve an equation which can be used to determine x, how much each bottle of juice costs?
Answer:
1.94 + 24x = 43.22 ;
1.72
Step-by-step explanation:
Given :
Cost of orange = 1.94
Pack of juice = 24
Total amount spent = 43.22
Cost of orange + (number of juice * cost per bottle) = total amount spent
Let cost per bottle = x
1.94 + (24 * x) = 43.22
1.94 + 24x = 43.22
24x = 43.22 - 1.94
24x = 41.28
x = 41. 28 / 24
x = 1.72
4(-x+4)= 12
how do i solve this
Answer:
Step-by-step explanation:
we will multiply first
-4x+16=12
-4x=12-16
-4x=-4
x=1
Step-by-step explanation:
Here is your answer
Hope it helps you
If he starts at 1 and jumps 3 units to the right, then where is he on the number line? How far away from zero is he?
Answer:
If you mean he starts at 1 on the Y axis (vertical line), then the answer is (1, 3). If you mean he starts at 1 on the X axis (horizontal line), then the answer is (0, 4)
Answer:
4 and 4 away
Step-by-step explanation:
If you start at one on the number line and go to the right you'll end up on 4 because if you start from one and then add 3 that equals 4.
Now if you were to figure out how FAR he is away from 0 you have to start at for and figure out what number you have to minus 4 by to get zero which is 4 because 4-4=0
Hope this helps :)
Rico and nita solved the answer the same problem.Rico got 6/8 for an answer, and nita got 3/4.Which answer is corrext. Use the term equivalent fraction in your explanation
Answer:
Both are correct
Step-by-step explanation:
Rico got 6/8
Nita got 3/4
Equivalent fraction
2/2 x Nita point
2/2 x 3/4
6 / 8
So,
Nita point = Rico point
6/8 = 6/8
Answer:
Both are corre
Step-by-step explanation:
Mr. Bradley is building a storage closet. He has four boards that are 9 feet long. He needs to cut boards into 18 inches long. What is the greatest number of 18-inch pieces that Mr. Bradley can cut from the four wooden boards? (1-foot = 12 inches)
PLEASE HELP. And dont answer if you dont know please it just a waste of time. This is a test
Answer:
The answer would be 6
I am painting my wall that measures 32 feet by 9 feet. If a gallon of paint covers 150 sq. ft, how many gallons will I need to paint my wall?
Answer:
2
Step-by-step explanation:
To find out how big the wall is you do 32 times 9 which equals 288.
2 gallons of paint covers 300 feet. You will have left over but that is ok.
Cakes and More baked 1,450 chocolate chip cookies. The bakery sold them in boxes of 25 cookies each. How much money will the bakery collect if it sells the cookies for $7 per box? Show how you solved this below.
Answer:
$406
Step-by-step explanation:
Step one:
given data
Cakes and More baked 1,450 chocolate chip cookies
The bakery sold them in boxes of 25 cookies each
The number of boxes will be
1450/25
=58 boxes
Step two:
The cost per box is $7
hence the cost of 58 boxes will be
=7*58
=$406
Raj plotted point L in the coordinate plane below. On a coordinate plane, point L is 1.5 units to the left and 4 units up. He says that the plotted point is (4, negative 1.5). What is Raj's error? The x-coordinate should be -4. The y-coordinate should be 1.5. The x- and y-coordinates are switched. Both coordinates should be positive.
Answer:
The x- and y-coordinates are switched.
Step-by-step explanation:
Given that:
Point L plotted by Raj is in a coordinate plane.
Point L is 1.5 units to the left and is 4 units up.
As per Raj, the point is (4, -1.5).
Kindly refer to the general coordinate plane diagram in the answer area.
The origin is at (0,0) which is our reference point for plotting any point.
When we move left on the coordinate plane from origin, the [tex]x[/tex] coordinate will decrease i.e. will become negative.
When we move right on the coordinate plane from origin, the [tex]x[/tex] coordinate will increase i.e. will become positive.
When we move down on the coordinate plane from origin, the [tex]y[/tex] coordinate will decrease i.e. will become negative.
When we move up on the coordinate plane from origin, the [tex]y[/tex] coordinate will increase i.e. will become positive.
Now, as per question statement, 1.5 units to the left.
i.e. [tex]x[/tex] = -1.5
4 units up.
i.e. [tex]y[/tex] = 4
Therefore, the point will be (-1.5, 4).
So, the answer is:
The x- and y-coordinates are switched.
Answer:
-x -y changed
lolololol
Step-by-step explanation:
Evaluate mp - (m + 2) using m =-6 and p = 3.
Answer:
Step-by-step explanation:
Here you go mate
Step 1
mp-(m+2)
Step 2
(-6)(3)-((-6)+2) Substitute m for -6 and p for 3
Step 3
(-6)(3)-((-6)+2) Simplify
answer
-14
Hope this helps