Answer:
15.42 inches
Step-by-step explanation:
-formula : perimeter of semi circle= πr+2r
r=3 inch
π.3+2.3
=3π+6
≅15.42inchAnswer:
15.425 or 6+3π
Step-by-step explanation:
If the radius of the circle is 3 inches and the diameter is double the radius, we know the diameter is 6 inches. Then we find half of the perimeter of a circle with radius 3. The perimeter formula of a cirle is 2πr. Plugging in the radius we get: 2(3)π or 6π. Then we divide by 2 as it is a semicircle and get 3π or ≈9.425. We add 6 to this and we get the answer of 15.425 or 6+3π.
If the first 5 terms of an infinite geometric sequence are 100, 60, 36, 21.6, and 12.96, then the sum of all the terms in the sequence is ______
Answer:
Step-by-step explanation:
r=60/100=0.6<1
[tex]S_{\infty} =\frac{a}{1-r} \\=\frac{100}{1-0.6} \\=\frac{100}{0.4} \\=\frac{1000}{4} \\=250[/tex]
Are these shapes similar?
yes or no
Answer:
I’d say yes.
If you stretched the second shape then I think both shapes would look similar.
What’s the y-intercept
Y-14=6(x-2.5)
Answer:
[tex]y=-1[/tex]
Step-by-step explanation:
[tex]y-14=6(x-2.5)[/tex]
[tex]y-14=6(0-2.5)[/tex]
[tex]y-14=6(-2.5)[/tex]
[tex]y-14=-15[/tex]
[tex]y=-1[/tex]
For what values of r will the area of the shaded region be greater than or equal to 12 square units? Write your answer as an inequality.
Answer:
r>=12
Step-by-step explanation:
John Marlow's total income last year was $31,300. Of that amount, he spent
$7,900 for food. What percent of Jon's total income did he spend for food? *
25%
40%
50%
85%
Based on the information given the percent of Jon's total income did he spend for food is 25%.
Using this formula
Percent of total income=Amount spent for food/Total income last year
Where:
Amount spent for food=$7,900
Total income last year=$31,300
Let plug in the formula
Percent of total income=$7,900/$31,300
Percent of total income=25%
Inconclusion the percent of Jon's total income did he spend for food is 25%.
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Please help me!! I don't understand
No linksssss
Answer:
thanks haahhahahaha
Step-by-step explanation:
I GIVE BRAINLEST !! PLS SLOLVE
Answer:
√6/2+1
Step-by-step explanation:
multiplying by √6/√6, we get √6(3+√6)/6=(3√6+6)/6=√6/2+1
Simplify fully
x2 - 9
3x2 + 8x - 3
+
X-3
x+2
(-3x³+2x²+4x+24) (x-2)
---------------------------------
8x
Help with this please?
Find the area of the composite figure.
Next, find the area of the parallelogram.
Triangle
Area = 77 cm
7 cm
Parallelogram
Area = [?] cm2
9 cm
Total Area of
Composite Figure = [ 1 cm2
22 cm
Answer:
Step-by-step explanation:
trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:
area_trapezoid1.gif or area_trapezoid2.gif
Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.
Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.
sixty students at gillette road middle school play a winter modified sport. if there are 500 students in the middle school, what percent of students play a sport
Answer:
60/500=0.12
so 12%
Hope This Helps!!!
А There are 84 boys and 72 girls in the sixth grade. Jerod says that the ratio of girls to boys is 6:7. Is he correct? Why or why not? 23 Maneuvering the Middle LLC. 2015
Answer:
He is correct
Step-by-step explanation:
72 girls and 84 boys
Divide both numbers by 12
6 : 7
He is correct
Jerod says that the ratio of girls to boys is 6:7 is correct.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that in the sixth grade there are 84 boys and 72 girls
Jerod says that the ratio of girls to boys is 6:7
We need to check whether Jerod statement is correct or incorrect
Now the number of boys=84
The number of girls=72
Now divide the number of girls by number of boys
72/84
6/7
So Jerod statement is true
Hence, Jerod says that the ratio of girls to boys is 6:7 is correct.
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Helpppo for an exammmm
Answer:
AAS
Step-by-step explanation:
Diets For You announced today that it will begin paying annual dividends next year. The first dividend will be $0.12 a share. The following dividends will be $0.15, $0.20, $0.50, and $0.60 a share annually for the following 4 years, respectively. After that, dividends are projected to increase by 4 percent per year. How much are you willing to pay to buy one share of this stock today if your desired rate of return is 8.5 percent?
You will be willing to pay $ 1.41 to buy one share of this stock today if your desired rate of return is 8.5 percent.
Since Diets For You announced today that it will begin paying annual dividends next year, and the first dividend will be $ 0.12 a share, and the following dividends will be $ 0.15, $ 0.20, $ 0.50, and $ 0.60 a share annually for the following 4 years, After that, dividends are projected to increase by 4 percent per year, to determine how much are you willing to pay to buy one share of this stock today if your desired rate of return is 8.5 percent, the following calculation must be performed:
8.5 = 0.12 100 = X 100 x 0.12 / 8.5 = X 1.41 = X
Therefore, you will be willing to pay $ 1.41 to buy one share of this stock today if your desired rate of return is 8.5 percent.
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Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
7h – 5(3h – 8) = –72
Which statement is true about Pieter’s solution?
1. It cannot be a fraction or decimal because the depth of the well is a whole number.
2. It must be a positive number since it represents a number of hours.
3. It must be a negative number because the depth is below sea level.
4.It cannot be greater than –72 because that is the depth of the well.
Answer:
Step-by-step explanation:
Is this the entire question? Some of it makes no sense without a diagram or something.
To get rid of A you actually have to solve the equation.
7h – 5(3h – 8) = –72 Remove the brackets
7h - 15h + 40 = - 72 Combine the like terms
- 8h + 40 = - 72 Subtract 40 from both sides
- 8h = -112 Divide by -8
h = 14
Well the depth is a whole number so A is true.
We don't know anything about time. But the answer is positive.
C is false because B is true.
We don't know exactly what the depth of the well is.
I would pick A, but you need the entire question.
Which of the following expressions represents the expanded version of the expression
below?
7x (8x2 - 4y2 + 3y - 5)
O 15x3 - 11xy2 + 10xy - 12X
O 56x2 - 28xy2 + 21xy - 35x
O 56x3 - 4y2 + 3y - 5
© 56x3 - 28xy2 + 21xy - 35x
Answer:
4th option
Step-by-step explanation:
7x(8x² - 4y² + 3y - 5) ← multiply each term in the parenthesis by 7x
= 56x³ - 28xy² + 21xy - 35x
The expression in the expended version will be equal to 56x³ - 28xy² + 21xy - 35x. Hence, option D is correct.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given expression,
7x (8x² - 4y² + 3y - 5)
Solve the equation by multiplying 7x with the bracket,
56x³ - 28xy² + 21xy - 35x
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12. TEKS 21
A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were
black-and-white coples, and the rest were color copies.
.
Each black-and-white copy cost $0.08.
Each color copy cost $0.15.
.
Which system or equations can be used to find b, the number of black-and-white copies,
and c, the number of color copies that the customer paid for at the print shop?
The system or equations can be used to find b, the number of black-and-white copies,
and c, the number of color copies that the customer paid for at the print shop is
b + c = 68
b + c = 680.08b + 0.15c = 6
Given:
Total amount paid = $6.00
Total copies = 68
cost of black-and-white copy = $0.08
cost of color copy = $0.15
let
number of black-and-white copies = b
number of color copies = c
The equation:
b + c = 68
b + c = 680.08b + 0.15c = 6
Therefore, the system or equations can be used to find b, the number of black-and-white copies,
and c, the number of color copies that the customer paid for at the print shop is
b + c = 68
b + c = 680.08b + 0.15c = 6
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!PLEASE ANSWER ASAP! THANK YOU!
if g(n) varies inversely with n and g(n) = 9 when n = 4 then find the value when g(n)=8.
round final answer to the tenths place. if answer is a whole number then put a zero in the tenths place before entering your answer.
Answer:
Step-by-step explanation:
I'm ASSUMING you want to find n where g(n) = 8
g(n) = a/n
g(4) = 9 = a/4
a = 36
g(n) = 8 = 36/n
n = 36/8 = 4.5
you will get a 100 points +100 if you get it right
Answer:
c = 4.2h
Step-by-step explanation:
the rate is 16.80 /4
4.20 per hour
earn = hours * rate
c = 4.20h
Answer:
[tex]c=4.20h[/tex]
Step-by-step explanation:
Given information:
Jasmine earns $25.20 for 6 hours work.Jasmine earns $16.80 for 4 hours work.Given variables:
c is the amount Jasmine earns (in dollar).h is the number of hours Jasmine works.To find Jasmine's hourly rate, divide the amount she earns by the number of hours worked:
[tex]\implies \dfrac{25.20}{6}=4.2[/tex]
[tex]\implies \dfrac{16.80}{4}=4.2[/tex]
Therefore, Jasmine earns $4.20 per hour.
The function that shows this information is:
[tex]\large\boxed{c=4.20h}[/tex]
A computer can do 1000 operations in 4.5×10^-6 seconds. How many operations can be done by this computer in one hour?
Answer:
0.00027.
Step-by-step explanation:
All you have to do is do the scientific notation then multiply by 60.
PLEASE HELP WILL MARK BRAINIEST!!!!!!
Answer:
the first option
Step-by-step explanation:
By rounding to 1 significant figure, estimate
542.04 x 1.88=
Answer:
542.04 × 1.88 = 1020
Facts about 1,020
Sig Figs
3
1020
Decimals
0
Scientific Notation
1.02 × 103
E-Notation
1.02e+3
Words
one thousand twenty
It costs $4.00 for 25 fl. oz. of detergent or $3.40 for 20 oz. Which is a better buy?
what is the slope of (8,3) (-5,3)
Answer:
-13x. (I think)
Step-by-step explanation:
evaluate 3c + 6y for c=5 and y=6
Answer:
51
Step-by-step explanation:
because 3(5)+6(6)
Answer:
51
Step-by-step explanation:
3c+6y
3(5)+6(6)
15+36
51
Supposed there is a 1.3f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 61.9f what will be the temperature when the plane reaches an altitude of 8,000ft
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
Answer:
51.5
Step-by-step explanation:
8000/1000=8
8x1.3=10.4
61.9-10.4
The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.
Using the midpoint formula, the coordinates of endpoint H are (4, -6).
The Midpoint FormulaThe midpoint formula is given as: [tex](x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )[/tex]
Where,
[tex](x_m, y_m)[/tex] = coordinates of the midpoint
[tex](x_1, y_1)[/tex] = coordinates of the first point
[tex](x_2, y_2)[/tex] = coordinates of the second point
Given the following:
[tex](x_m, y_m)[/tex] = M( 6,-4)
[tex](x_1, y_1)[/tex] = G(8,-2)
[tex](x_2, y_2)[/tex] = H(?, ?)
Plug in the values into the midpoint formula
[tex]M(6, -4) = (\frac{8 + x_2}{2}, \frac{-2 + y_2}{2} )[/tex]
Solve for the x-coordinate and y-coordinate separately
[tex]6 = \frac{8 + x_2}{2}[/tex]
Multiply both sides[tex]6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}[/tex]
[tex]-4 = \frac{-2 + y_2}{2}\\\\-8 = -2 + y_2\\\\-8 + 2 = y_2\\\\-6 = y_2\\\\\mathbf{y_2 = -6}[/tex]
Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).
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One advantage of a variable interest rate over a fixed interest rate is that a
variable rate:
A. is often lower initially
B. offers borrowers more flexible terms.
c. can be used for large purchases.
D. increases when the market rate increases
The term variable implies that the rate is bound to change over time, in this context variable interest rate may double as an Advantage and also as a disadvantage.
D. increases when the market rate increases
Variable interest rate is advantageous because as the market rate increases, the rate at which the customer will receive his/her interest will increase too
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Answer: a
Step-by-step explanation:
factorise the quadratic expression
pls help me I'll give brainliest
x²+8x-48
[tex]x^2+8x-48\\\\=x^2 + 12x -4x -48\\\\=x(x+12) -4(x+12)\\\\=(x-4)(x+12)[/tex]
Given p(x) = x4 – 13x2 – 25x – 12.
A) Use long division to determine the remainder when p(x) is divided by (x2 – 4)? Show all of your work for full credit.
B) Use mathematical methods to prove that your quotient and remainder are correct. Show all of your work for full credit.
Answer:
Below.
Step-by-step explanation:
p(x) = x^4 - 13x^2 – 25x – 12
Long division:
x^2 - 4)x^4 - 13x^2 – 25x – 12( x^2 - 9 <-------- Quotient
x^4 - 4x^2
Subtract: -9x^2 - 25x
-9x^2 + 36
-25x - 36 - 12
So the remainder is -25x - 48 (Answer).
B) If the above are correct then:
(x^2 - 4) * quotient + remainder = the original form of p(x).
(x^2 - 4)(x^2 -9) - 25x - 48 = the original p(x).
p(x) = x^4 - 9x^2 - 4x^2 + 36 - 25x - 48
= x^4 - 13x^2 - 25x -12 = original p(x)