Answer:
Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.
A prop for a school play is a sphere that will be hung from the ceiling. The surface area of the sphere is 5 024 cm'. If the surface area of the sphere can be found by using the formula SA = 4πr^2. where r is the radius, what is the radius of the sphere, to the nearest cm?
Answer:
The radius of the sphere, to the nearest cm:
[tex]r\approx 20[/tex] cm
Step-by-step explanation:
The surface area of a sphere is given by the formula
A = 4πr²
where r is the radius of the sphere.
Given
The surface area of sphere A = 5024 cm²The radius of the sphere can be determined such as
[tex]A\:=\:4\pi r^2[/tex]
[tex]r\:=\:\frac{1}{2}\sqrt{\frac{A}{\pi }}[/tex]
Plug in Surface Area of sphere = 5024, π = 3.14 in the formula
[tex]\:r\:=\:\frac{1}{2}\sqrt{\frac{5024}{3.14}}\:\:[/tex]
[tex]r\approx 20[/tex] cm
Therefore, the radius of the sphere, to the nearest cm:
[tex]r\approx 20[/tex] cm
Determine whether the relation is a function.
if dan was 4 years old 18 years ago, how old will he be 16 years from now?
Answer:
4+18 = 22 thats now in 16 years would be 38 years old
Step-by-step explanation:
The perimeter of a rectangular classroom is 52 feet. If the length is 10 more feet than the width, what is the length?
Answer: 18 by8
Step-by-step explanation:
question 15: Given l∥m, find the value of x.
Answer:
x=8
Step-by-step explanation:
the addition of all the angles must equal 360(the 4 angles on the intersection) degrees
125+125=250
360-250=110
110/2=55
7*8-1=55
A three-and-a-half foot stick is cut into two pieces. One piece is
1.65 ft long. How long is the other piece?
Answer:
1.4
Step-by-step explanation:
3.05 is the length of the stick and 1.65 is one part if the stick si we subtract 1.65 from 3.05 to find the length of the other piece
Tools -
Question 9
Which expression is equivalent to (x-2)(x - 1)?
A
x²-3x-2
B
x² - 2x-3
с
x²-3x+2
D
x² - 2x + 3
Answer:
I think It is C or A
Step-by-step explanation:
Answer:
def
Step-by-step explanation:
Scott's Montly income is $3,500. Scott spends 12% of his monthly income on groceries.
a. calculate the amount Scott spends each month on groceries
b. Scott spends $250 each month on his car. What percent of his monthly income does scott spend on his monthly car payment? (round to the nearest whole percent)
help plss
Answer: i don’t know this anwser but pls give me points I’m sure another person will give u something
Step-by-step explanation:
aquelyn’s earning m are a function of the number of lawns n she mows at a rate of $12 per lawn
Answer:
m = 12n
Step-by-step explanation:
M is the amount that she would earn at the end of the day. She charges 12 dollars per lawn and then you multiply that by n which is going to be how many lawns she mowed.
Answer questions one through six, show your work.
Answer:
1) 36, 2) 14, 3) 19, 4) 18, 5) 3, 6) 117
Step-by-step explanation:
1) 6(7) - 3(2) 2) (7)(4)/2 3) (7) + |2(7) - (2)| 4) 6(5) - 4(3) 5) [(4) + (5)]/3
42 - 6 28/2 7 + |14 - 2| 30 - 12 9/3
36 14 7 + 12 18 3
19
6) (4) + [(5)^3 + (3)] - 15
4 + (125 + 3) - 15
4 + 128 - 15
132 - 15
117
PLZ HELP The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region. What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box
Answer:
I think it 25?
Step-by-step explanation:
Find factors of following polynomial
A) 7 + 4 + 56 + 32 B) + 9 + 8 + 72
C) (42− 12 + 9 2− 92 )
plz answer properly
I will mark the person brainliest who answers properly
Step-by-step explanation:
the cotrect one is C
❤❤❤❤
halp plz my mommy sayd that i neda awnsur this to pas my test!!!!!! i wil brainlist!!!! :))
John has 4 apples, he gives 2 to Karen. How many apples will John have if he give 2 more apples to Becky?
thx for haplin me!! :)
Question:
Each week, Tasha saves 80% of the money she earns babysitting and spends the rest. This week she earned $80.00.
How much more money did she save than spend this week?
Answer:
none. i better be right or else im jumping off my roof
Louisa has a goal of collecting 100 pounds of dog food for a local shelter. She records how many pounds of food she collects each week. Week Pounds Collected 1 20.5 2 18 and three-fourths 3 32.75 How many more pounds of dog food does Louisa need to reach her goal? 18 27 28 72
Given:
Louisa has a goal of collecting 100 pounds of dog food for a local shelter.
The table of values which represents the number of pounds of food she collects each week.
To find:
The number of more pounds of dog food Louisa need to reach her goal.
Solution:
For first week = 20.5 pounds
For second week = [tex]18\dfrac{3}{4}=18.75[/tex]
For third week = 32.75
Now,
[tex]\text{Remaining pounds of dog food Louisa needs}=100-(20.5+18.75+32.75)[/tex]
[tex]\text{Remaining pounds of dog food Louisa needs}=100-72[/tex]
[tex]\text{Remaining pounds of dog food Louisa needs}=28\text{ Pounds}[/tex]
Therefore, the correct option is C.
In this question, all lengths are in centimetres.
Given
AB: AC = 1:2
AB= 3x-4
AC= 2x + 12
show that
AC: BC = 2:3
BС= 7X-2
Answer:
Step-by-step explanation:
AB/AC =1/2
(3x-4)/(2x+12)=1/2
2(3x-4) = 1(2x+12)
6x-8=2x+12
4x=20
X=5
AC/BC =3x-4/7x-2=22/33=2/3
AB/AC=3x-4/7x-2=22/33=2/3
AB/AC=3x-4/2x+12
6x-8=2x+12
You would get 4/5 still trying to work out the last mark
Step-by-step explanation:
First find x:
AB:AC=1:2
2(3x-4)=2x+12
6x-8=2x+12
4x-8=12
4x=20
x=5
Substitute:
AC=2x+12
=(2x5)+12
=10+12
=22
BC=7x-2
=(7x5)-2
=35-2
=33
22/33=2/3
Therefore AC:BC = 2:3
please help. problem involving magic squares
Step-by-step explanation:
First, let us find the magic sum in each row/column/diagonal.
Sum of numbers from 1 to 9 = 45.
45 divide by 3 rows = 15 each row.
The magic sum is 15.
For the diagonals, we have:
8 + 5 + x = Magic sum = 15,
6 + 5 + y = Magic sum = 15.
Therefore x = 2 and y = 4.
the table represents the points on the graph of a linear function. Which of the following equations best represents the data in the table?
9514 1404 393
Answer:
f(x) = 3x +5
Step-by-step explanation:
The x-values change by 1 from the first line to the second.
The y-values change by -13-(-16) = 3 from the first line to the second.
Then the "rate of change" is ∆y/∆x = 3/1 = 3. This will be the coefficient of x in the equation. The last choice is appropriate:
f(x) = 3x + 5
d. If the speed of a body is increased four times, how will its kinetic energy be affected?
Show by calculation.
e. By how many times will the kinetic energy of a body increase if its speed is tripled?
Show by calculation.
f. What change should be expected in the velocity of a body to maintain the same
kinetic energy, if its mass is increased sixteen times? How?
Is in less time than B. who has more power
Answer:
E
Step-by-step explanation:
The designers of drink cartons must consider the length of the straw required so that it will reach the bottom
of the carton. We will make the following assumptions:
-the straw must stick out of the carton by an additional 1.5 cm
-the hole is at one vertex of the carton
-the straw must be able to reach into the diagonally opposite corner of the base of the carton
use the formula a^2+b^2+c^2=d^2
CHECK IMAGE FOR VISUAL REPRESENTATION OF THE CARTON
Answer:
The length of the straw is 13.53 cm
Step-by-step explanation:
Rectangular Prism
A rectangular prism or cuboid is a box-shaped object. It has six flat faces and all angles are right angles. And all of its faces are rectangles.
If the straw must reach into the diagonally opposite corners of the base of the carton, then its minimum length is calculated by:
[tex]d^2= a^2+b^2+c^2[/tex]
Where a,b, and c are the dimensions of the cuboid. The image shows the dimensions of the drink carton: a=6 cm, b=10 cm, c=4 cm (order is not important), thus:
[tex]d^2= 6^2+10^2+4^2=36+100+16=152[/tex]
[tex]d=\sqrt{152}[/tex]
d= 12.33 cm
The straw must stick out of the carton by an additional 1.5 cm, thus the total length of the straw is: 12.33 + 1.5 = 13.53 cm
Answer:
the answer is right above me
Josh worked 30 hours last week and earned $8.50 per hour. If $32.50 was withheld from his paycheck, what was Josh's net pay?
Answer:
$222.50
Step-by-step explanation:
Hours Josh worked last week = 30
Money earned per hour = $8.50
Money withheld = $32.50
Josh's net pay = (30 x 8.50) - 32.50
= 255 - 32.50
= $222.50
Pls mark as brainliest <3
PLZZZ HELPPP I WILL GIVE YOU BRAINLESS ‼️‼️
Which gives the correct values for points A, B, C, and D?
A number line going from negative 2 to negative 1. There are 5 equal spaces between the numbers.
A = negative 1 and one-fifths, B = negative 1 and two-fifths, C = negative 1 and three-fifths, D = negative 1 and four-fifths
A = negative 1 and one-fifths, B = negative 1 and four-fifths, C = negative 1 and three-fifths, D = negative 1 and two-fifths
A = negative 1 and four-fifths, B = negative 1 and three-fifths, C = negative 1 and two-fifths, D = negative 1 and one-fifth
A = negative 1 and four-fifths, B = negative 1 and one-fifth, C = negative 1 and three-fifths, D = negative 1 and two-fifths
Answer:
the thrid one
Step-by-step explanation:
bc its all correct like i went over all of it and its correct glad to help bro!!!!!
Answer:
c
Step-by-step explanation:
Problem
Choose the inequality that represents the following graph. 32 points
Answer:
D
Step-by-step explanation:
cause its going bigger, but it also has 0 in the line so it could have 0 in it. So its D
I need help..........
Answer:
Step-by-step explanation:
lol
you need help...
XD
-2x -3=9 solve and explain
Answer:
-6
Step-by-step explanation:
-2x - 3 = 9
+ 3 +3
-2x = 12
/ -2 / -2
x = -6
How much closer to the sun is one planet than the other?
Answer:
C. 7.79 x 10^8
Step-by-step explanation:
Your Equation: (eight-point-one multiplied by ten to the eighth power) subtracted by (nine-point-one multiplied by ten to the seventh power)
so first we find out how much are in the parentheses :D
(8.7 x 10^8) = 870,000,000
(9.1 x 10^7) = 91,000,000
now you subtract 870,000,000 by 91,000,000.
870,000,000
- 91,000,000
---------------------
779,000,000
converted back to standard form...
7.79 x 10^8
(seven and seventy-ninths multiplied by ten to the eighth power)
<3 Enjoy,
Dea
Answer:
i think the answer if C if y get it wrong im sooo sorry
What is an area model of 15 times 11
Answer:
165
Step-by-step explanation:
you need to x it
7 divided by 5 over 8
Answer:
Step-by-step explanation:
7÷ 5/8 change to multiplication and flip the fraction
7*8/5 place 7 over 1
7/1*8/5 multiply
56/5 or 11 1/5
At 8:00, the temperature was 15 degrees Celsius (°C). Three hours later, the temperature was -15°C. By how many degrees Celsius did the temperature change?
Answer:
30 degrees
Step-by-step explanation:
If you were to draw a number line, 15 and -15 are both 15 units away from 0. So, 15 + 15 =30
Please brainlist!
Identify any constraints on the domain
Every day Isabel swims 10 to 20 laps in a 50-meter pool. She tracks the numbers of laps she swims and how long it takes her to complete the laps, in minutes
Choose the correct answer below.
OA. The domain consists of all integers greater than or equal to 10 and less than or equal to 20
OB. The domain consists of all integers less than or equal to 20
OC The domain consists of all integers greater than or equal to 0
OD. The domain consists of all integers greater than or equal to 0 and less than or equal to 20
O E. The domain consists of all integers greater than 0 and less than or equal to 20
Answer:
Step-by-step explanation:
A vertical asymptote represents a value at which a rational function is undefined, so that value is not in the domain of the function. A reciprocal function cannot have values in its domain that cause the denominator to equal zero. In general, to find the domain of a rational function, we need to determine which inputs would cause division by zero.
What value of x is in the solution set of 8x - 6 > 12 + 2x?
0 -1
оо
0 3
O 5
Answer:
3 is the correct answer
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
8*x-6-(12+2*x)>0
6x - 18 = 6 • (x - 3)
The value of the inequality is x > 3 , which is 5
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
8x - 6 > 12 + 2x
Subtracting 2x on both sides , we get
6x - 6 > 12
Adding 6 on both sides , we get
6x > 18
Divide by 3 on both sides , we get
x > 3
So , the value of x is numbers greater than 3
Hence , the inequality is x > 3
To learn more about inequality equations click :
https://brainly.com/question/11897796
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