Answer:
(x - 8)^2 + (y + 6)^2 = 4.
Step-by-step explanation:
The general equation is:
(x - a)^2 + (y - b)^2 = r^2.
Plugging in the given values:
(x - 8)^2 + (y - (-6))^2 = 2^2
(x - 8)^2 + (y + 6)^2 = 4.
Find the slope, or rate of change, from the following tables:
Please help me
A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours?
Answer:
8100/1800 = 4.5 days
Step-by-step explanation:
Fill in the table for this input-output rule:
4
divide by 2
and add 1
input
3.
output
0
2.
-8
100
Answer:
1, 2, -3, 51
Step-by-step explanation:
0 ÷ 2 = 0, then + 1 = 1
2 ÷ 2 = 1, then + 1 = 2
-8 ÷ 2 = -4, then + 1 = -3
100 ÷ 2 = 50, then + 1 = 51
Television sizes are described by the length of their diagonal measure. What would be the listed size of the TV shown? (To the nearest whole inch)
Answer:
The listed size is 32 inches
Step-by-step explanation:
Given
See attachment for television
Required
The listed size
The listed size is calculated by the diagonal of the television.
This is calculated as using Pythagoras theorem as follows:
[tex]Diagonal^2 = Length1^2 + Length2^2[/tex]
Where:
[tex]Length1 =28in[/tex]
[tex]Length2 =15.7in[/tex]
So, we have:
[tex]Diagonal^2 = 28^2 + 15.7^2[/tex]
[tex]Diagonal^2 = 784 + 246.49[/tex]
[tex]Diagonal^2 = 1030.49[/tex]
Take positive square roots of both sides
[tex]Diagonal = \sqrt{1030.49[/tex]
[tex]Diagonal = 32[/tex] --- approximated
Hence, the listed size is 32 inches
Jacob wants to purchase a new computer, but he does not have enough money in his bank account to pay for one.
Which of these is not an option for Jacob?
He can purchase the computer now using his his debit card.
He can put more money in his bank account and use his debit card to purchase the computer at a later date.
He can buy the computer using cash once he has saved enough money.
He can purchase the computer now using his his credit card.
Answer:
A is wrong. A debit card uses the money you have.
Carol has eight and 4 3/4 yard of material do you need to use 1/3 material to make a dress how many yards of material will she need to make the dress
Answer:
2 11/12
Step-by-step explanation:
(1/3)×(35/4=35/12=2 11/12 yards
A developer wants to divide an 84 acre parcel of land into lots in the ratio 6:2:4. How many acres are each land division. WILL AWARD BRAINLIEST.
Answer:
42 acres, 14 acres, 28 acres
a cube has edges measuring 5 inches. Find the surface area of the cube.
The price of an item has dropped to $98 today Yesterday it was $140. Find the percentage decrease
Answer:
30%
Step-by-step explanation:
30% of 140 is 98
Pls help !!!!!!!!!!!!
Answer:
x = 100°
Step-by-step explanation:
15° + 65° + x = 180°
80° + x = 180°
x = 100°
what is the perimeter of the triangle. i do not know how to start this problem. any help will be greatly appreciated :))
Given:
Point F,G,H are midpoints of the sides of the triangle CDE.
[tex]FG=9,GH=7,CD=24[/tex]
To find:
The perimeter of the triangle CDE.
Solution:
According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.
FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get
[tex]\dfrac{1}{2}DE=FG[/tex]
[tex]DE=2(FG)[/tex]
[tex]DE=2(9)[/tex]
[tex]DE=18[/tex]
GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get
[tex]\dfrac{1}{2}CE=GH[/tex]
[tex]CE=2(GH)[/tex]
[tex]CE=2(7)[/tex]
[tex]CE=14[/tex]
Now, the perimeter of the triangle CDE is:
[tex]Perimeter=CD+DE+CE[/tex]
[tex]Perimeter=24+18+14[/tex]
[tex]Perimeter=56[/tex]
Therefore, the perimeter of the triangle CDE is 56 units.
Is 0.999 repeating equal to 1? Please explain
Answer:
It is not equal to 1
Step-by-step explanation:
It's not equal to one because even if it is repeating forever it will never ever get to one, just take a look
0.999...... every 9 get's smaller and smaller in value
like 0.9 is bigger then 0.09 and that is bigger then 0.009
so even thought it is always gaining value by every 9 the value it gains is smaller and smaller and will never be equal or larger then 1
What is the combined weight of all the kittens
Answer:
[tex]5[/tex]
Step-by-step explanation:
3/4+12/8+3/2+10/8=5
1 of 5
A = 3(a+b)h
Work out A if a = 6,b= 4 and h = 5 .
A=
Barkley's team won 40% of their games last season. If they won 12 games total last season, how many games did they play?
Step-by-step explanation:
40% × 12 = 4.8
12 + 4.8 = 16.8
rounded off = 17 games
A chemist has three different acid solutions. The first acid solution contains 20 % acid, the second contains 40 % and the third contains 70 % . They want to use all three solutions to obtain a mixture of 56 liters containing 50 % acid, using 2 times as much of the 70 % solution as the 40 % solution. How many liters of each solution should be used?
Answer:
The volume of the first acid solution (containing 20% acid) in the mixture is 14 liters
The volume of the second acid solution (containing 40% acid) in the mixture is 14 liters
The volume of the third acid solution (containing 70% acid) in the mixture is 28 liters
Step-by-step explanation:
The percentage of acid in the first acid solution = 20%
The percentage of acid in the second acid solution = 40%
The percentage of acid in the third acid solution = 70%
The volume they want to use the three solutions to obtain a mixture of = 56 liters
The concentration of the mixture they want to obtain = 50%
The amount of the 70% solution to be used = 2 × The volume of the 40% solution to be included
Let 'x', 'y', and 'z', represent the volumes of the first second and third acid solutions in the mixture
Therefore, from the question parameters, we get;
x + y + z = 56...(1)
z = 2·y...(2)
0.2·x + 0.4·y + 0.7·z = 0.5 × 56...(3)
Multiplying equation (3) by 10 and then subtracting equation (1) multiplied by 2 from the result gives;
10 × (0.2·x + 0.4·y + 0.7·z = 0.5 × 56) = 2·x + 4·y + 7·z = 5 × 56 = 280
2·x - 2·x + 4·y - 2·y + 7·z - 2·y = 280 - 2 × 56 = 168
2·y + 5·z = 168
From equation (2) and (4), we get;
2·y + 5·z = 2·y + 5×(2·y) = 168
12·y = 168
y = 168/12 = 14
The volume of the second acid solution in the mixture, y = 14 liters
From equation (2), we have;
z = 2·y
∴ z = 2 × 14 = 28
The volume of the third acid solution in the mixture, z = 28 liters
From equation (1), we get;
x + y + z = 56
x = 56 - (y + z)
∴ x = 56 - (14 + 28) = 14
The volume of the first acid solution in the mixture, x = 14 liters.
Three interior angles of a polygon are,100degrees,120degrees,and 108degrees.Find the remaining two sides,if one of them is three times the other
Answer:
Joe Mama :))))))))))))))))))))))
Step-by-step explanation:
Beth filled 64 bottles of water. If each bottle holds 1 pint of paint, how many gallons of water does Beth have?
Answer:
8 gallons
Step-by-step explanation:
To answer this question :
convert pint to gallons multiply the value gotten in the above step by the total number of bottles1 PINT = 0.125 Gallons
1 x 0.125 = 0.125
total gallons of water = 64 x 0.125 = 8 gallons
christen has to run around the rectangle soccer field during practice. The soccer field measures 60 meters long by 45 meters wide. How far did christen run?
Answer:
210 m
Step-by-step explanation:
Perimeter is the distance around the outside of a two-dimensional shape.
Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.
Christen ran around the soccer field, so she ran around the perimeter.
We can find the perimeter by adding all of the side lengths.
Perimeter=60 m+45 m+60 m+45 m
Christen ran 210m.
Use the recursive relationship to complete the next two rows of Pascal's triangle. Row 5: 1 _ _ _ _ 1 Row 6: 1 _ _ _ _ _ 1
Answer:
1 5 10 10 5 1 Row 5
1 6 15 20 15 6 1 Row 6
Recursive relationship:
Each row has number of positions = row number + 1. The Row 0 is always 1.
The first and last number in each row is 1, the number in the second position and the penultimate corresponds to the number of the row. The middle numbers correspond to the sum of the two numbers in the top row. The resulting number from the addition is located in the middle of the numbers added in the next row.
Step-by-step explanation:
The pascal's triangle
* Row 0 = 1
* Row 1 = 1 1
1 Row 0
1 1 Row 1
Since there are only two positions, the first and last are 1.
*Row 2 = 1 _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
2 is the sum of 1 + 1 and we place it in the next row between the added numbers 1 and 1.
* Row 3 = 1 _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 + 2 = 3 (the row number and the and adding the numbers from the previous row)
* Row 4 = 1 _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 + 3 = 4 (the row number)
3 +3 = 6
* Row 5 = 1 _ _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 5 10 10 5 1 Row 5
1 + 4 = 5
4 + 6 = 10
* Row 6 = 1 _ _ _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 5 10 10 5 1 Row 5
1 6 15 20 15 6 1 Row 6
1 + 5 = 6
5 + 10 = 15
10 + 10 = 20
Question 1
Form the largest 5-digit number using the digits 9, 2,5, 4, 7 only once
a. 97542
b. 97524
c. 97425
d. 24579
Answer:
97542
Step-by-step explanation:
Write all the numbers in descending order
hope it helps
Answer: 97542
Step-by-step explanation: go in order of largest to smallest number as starting with a bigger number will let you end with a bigger number
What shape is this figure?
A cylinder.
cylinder
sphere
cone
pyramid
Answer:
Cylinder
Step-by-step explanation:
The shape of this figure is cylinder.
Answer:
a cylinder
Step-by-step explanation:
tis not sphere, cone, or pyramid :)
Grant has 6 red socks, 4 blue socks, 8
green socks, and 2 yellow socks in a
drawer. He will randomly select two socks
from the drawer one at a time without
replacement. What is the probability that
Grant will select a blue sock and then a
green sock?
F
25
50
95
95
The probability that Grant will select a blue sock and then a green sock = [tex]\frac{8}{95}[/tex].
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.
The probability that Grant will select a blue sock and a green sock =
= Probability of choosing a blue sock * Probability of choosing a green sock out of the remaining socks
= [tex]\frac{Number\ of\ blue\ socks}{Total\ number\ of\ socks} * \frac{Number\ of\ green\ socks\ out\ of\ remaining\ socks }{Total\ number\ of\ remaining\ socks}[/tex]
= [tex]\frac{4}{20} * \frac{8}{19} = \frac{8}{95}[/tex]
Learn more about probability here
https://brainly.com/question/11234923
#SPJ2
Kayla reads the same number of books each month. She reads at a rate of 14 books every 7 months. She claims
that the number of books she has read will always be at least 7 greater than the number of months since she
started reading.
Determine a whole number of books and a whole number of months that show Kayla's claim is incorrect.
Enter the number of books in the first response box.
Enter the number of months in the second response box.
Answer:
28 books and 14 months
Step-by-step explanation:
Because 28 is greater then 14 by 14 not 7
GUYS PLEASE ASAP I WILL FAIL IF U GUYS DONT ANSWER PLEASE
Answer: a square is both rectangle and quadrilateral.a trapezoid, rhombus and parallelogram is a quadrilateral. A parallelogram is also a rectangl.
Step-by-step explanation:
Jessica got fast food for lunch. Jessica paid 3.10 dollars on fries and 4.88 on the sandwich with a $10 bill. Jessica got a combo deal. What was the change from the purchase?
Answer:
$2.02
Step-by-step explanation:
If Jessica paid $3.10 for fries and $4.88 for the sandwich, we need to add these two values together to find the total cost of her entire meal.
3.10 + 4.88 = 7.98
Since Jessica paid with a $10 bill then we need to subtract the total from the bill in order to find the change that Jessica will receive from her purchase.
$10 - $7.98 = $2.02
Now we can see that Jessica will receive a total of $2.02 in change after making her purchase.
Is −7 a solution of −9x > 45?
Answer:
Yeah
[tex] - 9( - 7) = 63 \\ 63 > 45 \\ thus \: - 7 \: can \: be \: one \: of \: the \: solutions[/tex]
An animal shelter has 44 dogs and 54 cats. Then, 13 of these animals get placed in
new homes. How many animals are left at the shelter?
Answer:
44+54= 98
98-13=85
Step-by-step explanation:
Answer:
85 animals are left.
Step-by-step explanation:
44 + 54 = 98.
98 - 13 = 85.
explain why we need to always balance algebraic equations.
A cylinder has a radius of 5 centimeters
and a height of 17 centimeters. What is
the total surface area of the cylinder?
Use 3.14 for
SA for a cylinder = 2 pie r squared + 2 pie r h
= 2 x pie x 25 + 2 x pie x 5 x 17
= 220 pie or 690.8 if you use 3.14 instead of the full value