Answer:
25.7 m
Step-by-step explanation:
Semicircles are half circles that are divided at the diameter.
We want to find the semicircle arc.
To do this, just find the circumference of the circle and then divide by 2.
Circumference formula:
2rπ or Dπ
10π = 31.4
31.4 / 2 = 15.7
Now, we have to find the straight line part of the semicircle. The length of that straight line is the diameter. We already know that the diameter is 10.
Add
15.7+10 = 25.7
The total amount charged by a delivery service is described by the linear equation y=2.5x+7, where x is the number of miles traveled and y is the total cost. What is the rate of change in cost per mile?
$10.00 per mile
$9.50 per mile
$7.00 per mile
$2.50 per mile
See
y=2.5x+7Compare to slope intercept form of line y=mx+b
Slope=m=2.5Rate of change is slope
So
it's
$2.50 per mileAnswer:
$2.50 per mile
Step-by-step explanation:
Given that,
→ y = mx + b
→ y = 2.5x + 7
The rate of change in cost per mile is,
→ slope
→ m
→ [ $2.5 ]
Hence, rate of change in cost is $2.5.
which expression is equivalent to 35m2-63
An expression is formed of numbers, variables, and mathematical operations. The expression that is equivalent to 35m²-63 is 7(5m²-9).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given the expression 35m²-63, which can be written as,
[tex]35m^2-63\\[/tex]
Taking 7 as common from both the terms,
[tex]= 7(5m^2-9)\\[/tex]
Hence, the expression that is equivalent to 35m²-63 is 7(5m²-9).
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classify the following random variables as Discrete or Continuous
1Shoe size
2foot length
3Students in a class
4distance travelled to school
5children per family
6the height of a horse
7the number of TV sets in a home
8time to complete a task
9the outdoor temperature at noon
10the speed of a car on route 3
Solve the following....
[tex]5x+3y=7\\3x-5y=-23[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
let's solve ~
The given equations are :
[tex]\qquad \tt \dashrightarrow \:5x + 3y = 7 \: \: \: \: \: \: \: \: \: \: \: \: - (1)[/tex]
and
[tex]\qquad \tt \dashrightarrow \:3x - 5y = - 23 \: \: \: \: \: \: - (2)[/tex]
Now, let's multiply equation (1) by 5 and equation (2) by 3 ~
we will get the results as :
[tex]\qquad \tt \dashrightarrow \:25x + 15y = 35 \: \: \: \: - (3)[/tex]
[tex]\qquad \tt \dashrightarrow \:9x - 15y = - 69 \: \: \: - (4)[/tex]
Now, add equation (3) and (4) :
[tex]\qquad \tt \dashrightarrow \:25x + \cancel{ 15y} + 9x - \cancel{15y }= 35 + ( - 69)[/tex]
[tex]\qquad \tt \dashrightarrow \:34x = - 34[/tex]
[tex]\qquad \tt \dashrightarrow \:x = - 1[/tex]
Now, since we got the value of x, let's evaluate y~ by using equation (1) :
[tex]\qquad \tt \dashrightarrow \:5x + 3y = 7[/tex]
[tex]\qquad \tt \dashrightarrow \:5( - 1)+ 3y = 7[/tex]
[tex]\qquad \tt \dashrightarrow \:3y - 5 = 7[/tex]
[tex]\qquad \tt \dashrightarrow \:3y = 12[/tex]
[tex]\qquad \tt \dashrightarrow \:y = 4[/tex]
Hence, value of y is 4
I hope you understood the whole procedure ~
Hello ~
My name is Irxdscent, and I will be answering your question today! :D
[tex]\sf{5x \: + \: 3y = 7}[/tex]
⇢ Explanation :-Subtract [tex]\bold{\underline{3y}}[/tex] from both sides.[tex]\bold{5x \: + \: 3y \: - \: 3y = 7 \: - \: 3y}[/tex]
Simplify[tex]\bold{5x = 7 \: - \: 3y}[/tex]
Divide both sides [tex]\bold{\underline{5}}[/tex][tex]\bold{\frac{5x}{5} = \frac{7}{5} \: - \:\frac{3y}{5}}[/tex]
Simplify[tex]\bold{x =\frac{7 \: - \: 3y}{5}}[/tex]
[tex]\sf{3x \: - \: 5y = -23}[/tex]
⇢ Explanation :-Add [tex]\bold{\underline{5y}}[/tex] to both sides.[tex]\bold{3x \: - \: 5y \: + \: 5y = -23 \: + \: 5y}[/tex]
Simplify[tex]\sf{3x = -23 \: + \: 5y}[/tex]
Divide both sides by [tex]\bold{\underline{3}}[/tex][tex]\bold{\frac{3x}{3} = -\frac{23}{3} \: + \: \frac{5y}{3}}[/tex]
Simplify:[tex]\bold{x = \frac{-23 \: + \: 5y}{3}}[/tex]
Hope It Helps! ~
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[tex]\underline{Answer :}[/tex]
ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ
PLEASE CHOOSE CORRECT OPTION AND WITH EXPLANATION 25 POINTS
Answer:
B. (x, y) ⇒ (x, -y)
Step-by-step explanation:
When a point is reflected over the x-axis, it is moved along a vertical line to the same distance on the other side of the x-axis.
The x-coordinate of a point identifies its distance from the y-axis--the vertical line it is on. The y-coordinate identifies its distance from the x-axis. Changing the sign of the y-coordinate moves the point to the same distance on the other side of the x-axis--reflecting it over the x-axis.
__
The given points ABC and A'B'C' all match the pattern ...
(x, y) ⇒ (x, -y)
A(-1, 7) ⇒ A'(-1, -7)
B(6, 5) ⇒ B'(6, -5)
C(-2, 2) ⇒ C'(-2, -2)
so the image points represent a reflection over the x-axis of the original points.
Consider the problem: 1/2 ÷ 5. Which model correctly represents this expression? How do you know?
Answer:
[tex]\frac{1}{10}[/tex]
Step-by-step explanation:
What were the factors that led Germany to agree to an armistice?
The military situation was turning against the Germans.
Wilson's 14 points gave Germany hope for a fair peace.
Russia had successfully launched a new offensive.
German allies had withdrawn.
Answer:
A, C, D
Step-by-step explanation:
Germany was losing WW1, even though they were the 3rd country to be in it. Russia was starting to conquer back lost land, the Ottoman Empire had fallen, Austria-Hungary had surrendered. The Germans were at a loss, so they had to surrender.
Consider the following incomplete deposit ticket where "x" represents an unknown number: a deposit ticket. the amounts deposited were 520 dollars and 15 cents, 57 dollars and 68 cents, 40 dollars and 25 cents. the cash received was 213 dollars and 51 cents. the total deposited is 498 dollars and 1 cent. how much did kay deposit in cash and coins? a. $404.57 b. $213.51 c. $93.44 d. $284.50
The net amount that was deposited by Kay both cash and coins is $284. 50.
What is the net amount ?The can be explained as difference between total deposited and the cash received.
This can be expressed as[ total deposit- total cash received]
Since the total deposited = 498 dollars and 1 cent.
This can be converted to dollar as[tex]( $498.01)[/tex]
The amount received is 213 dollars and 51 cents.
This can be converted to dollar as ($213.51)
Therefore, Net amount [tex]= [498.01 - 213.51]=$284.5[/tex]
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Answer: C. 93.44
Explanation:
I just got a 100 on edge
Solve the equation. Simplify all irrational solutions. x^2-9x
Answer:
x(x−9)
Step-by-step explanation:
x2−9x
=x(x−9)
please help im so confused
Answer:
X=35
Step-by-step explanation:
all angles on a straight line equal 180 degrees
there fore the equation for x will be,
180= 40+(2X+30)+40
180=40+ 2X +30+40
180 =2X+110
180-110=2X
70=2X
70/2=X
35=X
The average daily inchworm moves foot in 10 seconds. At this current rate, how long
will it take an earthworm to move 24 inches? Show your calculations. (Give your answer
in seconds)
ve won to anolleo I no slim as
os asb 'TOL
anonicolso to wore on Del 6
Answer:
20 seconds
Step-by-step explanation:
1ft in 10 seconds = 12 in / 10 sec
to get 24 inches, or 2 feet, we simply multiply that by 2:
(12 in /10 sec) * 2
24 in /20 sec
Answer:
20 seconds!
Step-by-step explanation:
A foot is equal to 12 inches meaning you take 12 and divide it by 24 to get 2 meaning its 2 feet. and if it took 10 seconds for one foot, then it will take 20 seconds for 2 feet
Mila invested $82,000 in an account paying an interest rate of 4 % compounded
annually. Chase invested $82,000 in an account paying an interest rate of 5%
Compounded quarterly. To the nearest dollar, how much money would Mila have in
her account when Chase's money has tripled in value?
Answer:
Step-by-step explanation:
Calculate your monthly payments and total amounts paid. Use the formula for loan amortization below to figure out how much each payment will be. “Amortization” means paying off the loan in a series of equal installments. You’ll need to know the amount of the loan, the monthly interest rate, and the number of months you’ll be making payments in order to make the calculation.
A=P*(r(1+r)^{n})/((1+r)^{n}-1).
1) A=46,998(6.75(1+6.75)^{36}/((1+6.75)^{36}- 1)
2) A=46,998(4.75(1+4.75)^{48}/((1+4.75)^{48}- 1)
3) A=46,998(5.99(1+5.99)^{48}/((1+5.99)^{48}- 1)
Thank you in advance!!!
What is the answer
1^32
Answer:
1^32=1
Step-by-step explanation:
Natalie just rented an apartment for $900 a month for the first year. She was told that the rent will increase by $50 each year. About how much will her rent be in the 7th year
Answer:
The correct answer is $75,900.
Step-by-step explanation:
The equation of line p is y+7= – 1/2 (x–5). Line q is parallel to line p and passes through (4,8). What is the equation of line q? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Answer:
y = -1/2 x + 10.
Step-by-step explanation:
The line q has the same slope (-1/2) as line p as the 2 lines are parallel.
Equation of the line q:
y - 8 = -1/2(x - 4)
y - 8 = -1/2x + 2
y = -1/2 x + 2 + 8
y = -1/2 x + 10.
Electric utility poles in the form of right cylinders are made out of wood that costs $25.46 per cubic foot. Calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 30 ft. Round your answer to the nearest cent.
Answer:
$ 1349.746624
Step-by-step explanation:
The volume of a cylinder
The formula for calculating the volume of a cylinder is expressed as:
V=πr²h
where:
r is the radius
h is the height
Given the following parameters
r = d/2 = 1.5/2 = 0.75ft
h = 30ft
Get the volume of the cylinder
V=π(0.75)²(30)
V= 53.0144...ft³
If the wod costs $25.46 per cubic foot, hence the cost of the wood will be 53.0144*25.46 = $ 1349.746624
What is the slope of the line below
Answer:
y=.5x+1.5
Step-by-step explanation:
The slope is .5
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
How many outcomes include exactly one head?
Enter your answer as a number, like this: 42
Answer:
3 outcomes
Step-by-step explanation:
question asks only 1 head therefore THT, TTH, HTT
17 The price of a game console that regularly
sells for $800 is
reduced to $616. By what
percentage is the price reduced?
A
23%
C
77%
B
30%
D
25%
Answer:
A
Step-by-step explanation:You can use a calculator also 1% of 800 is 8 .So multiply 20 by 8 which is 160 and 8 times 3 is 24 and 160 plus 24 is 184.
Answer: 223%
Step-by-step explanation:
Deduct 616 from 800 to get the amount reduced. 800-616=184
184/800=0.23
convert to a percentage by multiplying by 100
Jack bought 5 pounds of halloween candy. he gave out 3 pounds of the candy to trick or treaters and ate 10 ounces of the candy . how many ounces of halloween candy does jack have left
Answer:
1 pound 6 ounces
Step-by-step explanation:
What is the solution to the system of linear equations graphed below?
Answer:
x = 0.5
y = 4
Step-by-step explanation:
Find the point of intersection.
What is the relationship between the radius and the diameter?
Step-by-step explanation:
The radius of a circle is half of the diameter. The diamter is a straight line from one end of the circle to the other which must intersect the origin.
in a circle the radius is half the length of its diameter or in other words in a circle the diameter is twice the length of its radius.
have a great day!
A marksman fires at a target and the ratio of hits to misses is 11:4. He fires 90 times. How many hits does he score?
Answer:
66
Step-by-step explanation:
11 + 4 = 15
90 / 15 = 6
6 * 11 = 66
A movie distributor found that the relationship between the amount it spends on advertisements for a particular movie and the amount of money the movie takes in can be modeled by the equation y = 1.2x + 24, where x is the amount spent on advertisements in millions of dollars and y is the amount taken in by the movie in millions of dollars. According to the model, how much should the movie distributor spend on advertisements if it wants the movie to take in $36,000,000?
A $10,000,000
B $20,000,000
C $30,000,000
D $50,000,000
Answer:
i believe the answer is B, im not 100% though
Step-by-step explanation:
Find p(b|c). p(b|c) = startfraction 9 over 34 endfraction = 0.26 p(b|c) = startfraction 9 over 24 endfraction = 0.38 p(b|c) = startfraction 9 over 70 endfraction = 0.13 p(b|c) = startfraction 9 over 58 endfraction = 0.16
The expression P(B|C) is an illustration of probability, and the value of P(B|C) is 0.38
How to determine the value of the probability expression?From the question, we have the following highlights:
n(B and C) = 9
n(C) = 24
The equation to calculate the probability expression is:
P(B|C) = n(B and C)/n(C)
Substitute known values
P(B|C) = 9/24
Evaluate the expression
P(B|C) = 0.38
Hence, the value of P(B|C) is 0.38
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Answer:
the second one
Step-by-step explanation:
i just did the assignment
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1400 grams and mass was decreasing by 12% per day. Determine the mass of the radioactive sample at the beginning of the 8th day of the experiment. Round to the nearest tenth (if necessary).
Answer:
572.1 gm will be left
Step-by-step explanation:
seven days of decay to find how much is still there on the 8th day
1400 ( 1 - .12)^7 =
Ed buys a box of eggs costing £1.90, two packs of bacon for £3.10 each and two tins of baked
beans.
He pays with a £10 note and gets 50p change.
How much does a tin of beans cost in pounds
Answer:
tin of beans = .70 pound
Step-by-step explanation:
10 = 1.90 + 2 * 3.10 + .50 + 2b
b = .70
Gloria is painting a wall in her bedroom. The dimensions of the wall measure 14 feet by 11 feet.
The gallon of paint that she purchased will cover 400 square feet. Does she have enough paint
to do two coats on the wall? Justify your answer.
Answer:
yes she does
Step-by-step explanation:
14*11=154
for 2 coats you need twice that which is 308 square feet
she purchased enough paint to cover 400 square feet so she would have plenty of paint to do 2 coats
find the rule
5. 11
6. 13
8. n
10. 21
Answer:
n = 17
Step-by-step explanation:
Method 1The difference between the 5th and 6th terms is 13 - 11 = 2
Therefore, the next term can be found by adding 2 each time.
If we continue with this sequence, we get:
5 = 11
6 = 13
7 = 13 + 2 = 15
8 = 15 + 2 = 17
9 = 17 + 2 = 19
10 = 19 + 2 = 21
So n = 17
-------------------------------------------------------------------------------------
Method 2Arithmetic sequence
General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven terms of the sequence:
[tex]a_5=11\\a_6=13\\a_8=n\\a_{10}=21[/tex]
The common difference can be found by subtracting one term from the next term:
[tex]d=13-11=2[/tex]
To find a, substitute the found value of d into the equation for one of the given terms:
[tex]\begin{aligned}a_5 =a+(5-1)2 & =11\\ a+8 & =11\\ a & = 3\end{aligned}[/tex]
Therefore, the formula to find the nth term is:
[tex]\implies a_n=3+(n-1)2[/tex]
[tex]\implies a_n=2n+1[/tex]
So, the 8th term is:
[tex]\implies a_8=2(8)+1=17[/tex]
Lets form a equation
(5,11)(6,13)Slope:-
m=13-11/6-5=2Equation:-
y-11=2(x-5)So
Put x=8
n-11=2(8-5)n-11=2(3)n-11=6n=17