Answer:
a−b=aa=1
Step-by-step explanation:
Since the graph of the linear function f has intercepts (a,0) and (0,b), the two points satisfy the function. Therefore, the slope becomes a−b=aa=1, which is positive.
What are the coordinates of the center of a circle whose equation is (x+1)^2+y^2=100?
Answer:
The center is (-1,0) and the radius is 10
Step-by-step explanation:
We can write the equation of a circle as
(x-h)^2 + (y-k)^2 = r^2
where the center is (h,k) and the radius is r
(x+1)^2+y^2=100
(x - -1)^2+(y-0)^2=10^2
The center is (-1,0) and the radius is 10
Answer:
radius = 10
center = (- 1, 0)
Step-by-step explanation:
eqn. of the circle = (x - h)^2 + (y - k)^2 = r^2
= (x + 1)^2 + y^2 = 100
(x - (-1))^2 + (y - 0)^2 =10^2
The center is (- 1, 0) and the radius is 10
Hope this helps!
What is one possible set of dimensions of a cone that has the same volume as the cylinder? Explain
your reasoning
Answer:
Cone that has 3 times the height, but the same base
Step-by-step explanation:
The formula for cone's volume is 1/3bh while cylinder is just bh
Please help. Use the steps to finish writing an equivalent equation for y in terms of x. −6x = 12 − 4y 1. Subtract 12 from both sides: −6x − 12 = −4y 2. Divide −4 to both sides: −6x − 12 −4 = −4y −4 x + 3 = y
Answer:
3/2 x +3 = y
Step-by-step explanation:
−6x = 12 − 4y
Subtract 12 from both side
−6x-12 = 12 − 4y-12
-6x -12 = -4y
Divide both side by -4
(-6x -12)/-4 = -4y/-4
-6x/-4 -12/-4 = y
3/2 x +3 = y
Answer:
y = 1.5x + 3
Step-by-step explanation:
= - 6x - 12 = - 4y
(- 6x - 12)/- 4 = - 4y/- 4
1.5x + 3 = y
Hope this helps!
The circumference of the earth is given.
What is the diameter of earth? Round your answer to the nearest tenth. Use 3.14 for π.
Enter your answer in the box below.
____miles
Answer:
Diameter of the earth is 7930.25 miles
Step-by-step explanation:
To find the diameter of the earth, we will follow the steps below:
first write the formula of the circumference
c = 2πr ---------------------------------------------------------------------------------------------(1)
where r is the radius and c is the circumference
from the diagram below, circumference is given to be 24901 miles
π = 3.14
substitute the value of c and π into equation (1) and solve for r
c = 2πr
24901 = 2 × 3.14× r
24901 = 6.28 r
Divide both-side pf the equation by 6.28
24901/6.28 = 6.28 r/6.28
3965.1274≈ r to the nearest tenth
r≈ 3965.1274 miles
But diameter = 2r
diameter = 2 × 3965.1274
diameter ≈ 7930.25 to the nearest tenth
Diameter of the earth is 7930.25 miles
Answer:
7930.3milesStep-by-step explanation:
The earth is spherical in shape. The formula for calculating the circumference of a sphere is πd where d is thee diameter of the earth.
C = πd
Given C = 24, 901miles and π = 3.14, on substituting,
24, 901 = 3.14d
d = 24,901/3.14
d = 7930.255
d ≈ 7930.3miles to the nearest tenth
(URGENT)Which summation formula represents the series below?
13 + 9 + 5 + 1
Σ-4n+1)
Σ-47-15)
Σ(n-4)
Σ(n-4)
Answer:
Σ-47-15)
Step-by-step explanation:
Option D is correct, the summation formula that represents the series is Σ(n-4) for n=1 to 4.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
A series is, roughly speaking, the operation of adding infinitely many quantities, one after the other, to a given starting quantity.
The series can be written as:
13 + 9 + 5 + 1 = (4×3 + 1) + (4×2 + 1) + (4×1 + 1) + (4×0 + 1)
= (4×(3-1) + 1) + (4×(2-1) + 1) + (4×(1-1) + 1) + (4×(0-1) + 1)
= Σ(n-4) from n=1 to 4
Therefore, the summation formula that represents the series is Σ(n-4).
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Solve for z plz help me
Answer:
Let's get all of the z terms on one side. When we do so we get tz + cz - 6z = -83. We can factor the left side as z(t + c - 6) = -83 so our answer is z = -83(t + c - 6).
Answer:
Z= 83
——————
(-c + 6)
Step-by-step explanation:
help plz you got to help me
Answer:
$6.88
Step-by-step explanation:
$5.99(12 months) = $71.88 per year
$71.88 - $65 = $6.88
What is the percent for;
1. 0.47
2. 0.98
3. 0.25
Don't forget the % symbol on your answer.
Answer:
47%98%25%Step-by-step explanation:
First you have to make it into a fraction, then multiply it by 100 :
Q1.
[tex]0.47 = \frac{47}{100} [/tex]
[tex] \frac{47}{100} \times 100 = 47[/tex]
Q2.
[tex]0.98 = \frac{98}{100} [/tex]
[tex] \frac{98}{100} \times 100 = 98[/tex]
Q3.
[tex]0.25 = \frac{25}{100} [/tex]
[tex] \frac{25}{100} \times 100 = 25[/tex]
1. The table shows the number of miles
two salespeople drove each day for work
last week.
Mr. Smith
128
150
118
85
166
Miles Driven
Day Ms. Johnson
Mon.
115
Tue.
97
Wed.
86
Thu.
48
Fri.
181
Sat.
127
25
Select THREE sentences that are true.
A. Mr. Smith drove 6 miles per day
more than Ms. Johnson.
B. Ms. Johnson drove 3 miles per day
more than Ms. Johnson.
C. A reasonable prediction is that both
salespeople will drive about 80 miles
each day.
D. A reasonable prediction is that both
salespeople will drive about 110
miles each day.
E. If both salespeople work 250 days
this year, they will drive about
20,000 miles for this year.
F. If both salespeople work 250 days
this year, they will drive about
27,500 miles for this year.
Answer:
(B)Mr Smith drove 3 miles per day more than Ms. Johnson.
(D) A reasonable prediction is that both salespeople will drive about 110
miles each day.
(F)If both salespeople work 250 days this year, they will drive about
27,500 miles for this year.
Step-by-step explanation:
Given the miles driven by the two salesman.
Mr Smith
128 , 150 , 118 , 85 , 166 and 25
[tex]\text{Average miles per day}=\dfrac{128+150+118+85+166+25}{6}=\dfrac{672}{6}\\=112$ miles per day[/tex]
Ms. Johnson
115,97,86,48,181 and 127
[tex]\text{Average miles per day}=\dfrac{115+97+86+48+181+127}{6}=\dfrac{654}{6}\\=109$ miles per day[/tex]
Therefore:
(B)Mr Smith drove 3 miles per day more than Ms. Johnson.
(D) A reasonable prediction is that both salespeople will drive about 110
miles each day.
[tex]112 \approx 110$ miles per day\\109 \approx 110$ miles per day[/tex]
(F)If both salespeople work 250 days this year, they will drive about
27,500 miles for this year.
110 X 250=27,500 miles
A school organization sells T-shirts for a fundraiser. Youth sizes sell for $10 each, and adult sizes sell for $15 each. The organization sells a total of 220 shirts for $2,375. How many adult-sized T-shirts did the organization sell?
Answer:
35 adult shirts were sold
Step-by-step explanation:
10y+15a=2375
y+a=220
y=220-a
10(220-a)+15a=2375
2200-10a+15a=2375
2200+5a=2375
5a=175
a=35
35 adult shirts were sold.
In the derivation of the quadratic formula by completing the square, the equation
- 4ac + b 2
4a?
is created by forming a
perfect square trinomial.
What is the result of applying the square root property of equality to this equation?
Answer:
2nd option is the correct answer.
Step-by-step explanation:
[tex] \because \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{-4ac+b^2}{4a^2}\\\\
\therefore \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{b^2-4ac}{4a^2}\\\\
\therefore \bigg(x + \frac{b}{2a}\bigg) = \pm \sqrt {\frac{b^2-4ac}{4a^2}} \\\\
\purple {\boxed {\bold {\therefore x + \frac{b}{2a}= \frac{\pm\sqrt{b^2-4ac}}{2a}}}} \\\\[/tex]
Answer:
B
Step-by-step explanation:
Which symbol correctly compared these two fractions
Answer:
B
Step-by-step explanation:
> = greater than
= this means equal to
< = less than
[tex]\frac{8}{13} =\frac{8}{13}[/tex]
Compare the values 0.25 and 2/9 using < >, or = MAKE SURE TO SHOW WORK!!
Answer:
0.25 > 2/9
Step-by-step explanation:
When you change 2/9 into a decimal, you get 0.22222222...
Therefor, 0.25 is greater than 2/9
Help somebody please
Answer:
[tex]62[/tex]
Step-by-step explanation:
[tex]2x^2+15x-1[/tex]
[tex]2(3)^2+15(3)-1[/tex]
[tex]2(9)+15(3)-1[/tex]
[tex]18+45-1[/tex]
[tex]=62[/tex]
[tex]answer \\ = 62 \\ solution \\ x = 3 \\ 2 {x}^{2} + 15x - 1 \\ = 2 {(3)}^{2} + 15 \times 3 - 1 \\ = 2 \times 9 + 45 - 1 \\ = 18 + 45 - 1 \\ = 63 - 1 \\ = 62 \\ hope \: it \: helps[/tex]
I'm so confused, can someone please help. thx
Answer:
26.25 in³, y = 15x
Step-by-step explanation:
2. Volume is multiplying the length, width, and height of a rectangular prism together.
Therefore, the volume of this rectangular prism is 6 * 1.25 * 3.5
= 26.25 in³
3. The equation that represents the function table will describe the relationship between x and y. As we can see, for every x value, the y value grows by 15. Therefore:
y = 15x
Hope this helps :)
Find the perimeter of a quadrilateral with vertices at C (−1, 2), D (−2, −1), E (2, −2), and F (1, 1). Round your answer to the nearest hundredth when necessary.
PLEASE answer quick, I need this in the next 15 minutes
Answer:
11.5214512633
Step-by-step explanation:
Add up all the sides, using Pythagorean theorem for each side by finding the difference in horizontal and vertical coordinates.
CD: [tex]\sqrt{\left(2-\left(-1\right)\right)^{2}+\left(\left(-1\right)-\left(-2\right)^{2}\right)}[/tex] = 2
CF: [tex]\sqrt{\left(1-2\right)^{2}+\left(1-\left(-1\right)\right)^{2}}[/tex] = 2.2360679775
EF: [tex]\sqrt{\left(2-1\right)^{2}+\left(-2-1\right)^{2}}[/tex] = 3.16227766017
DE: [tex]\sqrt{\left(2-\left(-2\right)\right)^{2}+\left(\left(-2\right)-\left(-1\right)\right)^{2}}[/tex] = 4.12310562562
add them all up 11.5214512633
What is the area of the garden in Plan B? (Type the numeric answer only).
Answer:
241.5 ft^2
Step-by-step explanation:
First, find the area of the deck. A = LW. L = 20, W = 16.
20 x 16 = 320.
Now that we have found the area of the deck, let's find the area of the garden. A = [tex]r^{2} \pi[/tex]. r = 5.
A = (pi)5^2
A = 25(pi) pi = 3.14
A = 78.5
Since the deck will not cover the garden, we must subtract the area of the garden from the total area of the deck.
320 - 78.5 = 241.5
Please answer need help tysm!
Step-by-step explanation:
it's on the -0.8 number...
Answer:-0.8
Step-by-step explanation:count from -1 up to where B is
The value of 32 cos 85 ° is ____ a0. Round your answer to the nearest tenth of the number.
Answer:
2.8
Step-by-step explanation:
32cos 85≈2.8
thank you for the help
Answer:
lll
Step-by-step explanation:
hope it's helpful
Most welcome
Fairfax Pizza is evaluating a project that would require an initial investment in equipment of 400,000 dollars and that is expected to last for 7 years. MACRS depreciation would be used where the depreciation rates in years 1, 2, 3, and 4 are 45 percent, 33 percent, 16 percent, and 6 percent, respectively. For each year of the project, Fairfax Pizza expects relevant, incremental annual revenue associated with the project to be 628,000 dollars and relevant, incremental annual costs associated with the project to be 552,000 dollars. The tax rate is 50 percent. What is (X plus Y) if X is the relevant operating cash flow (OCF) associated with the project expected in year 1 of the project and Y is the relevant OCF associated with the project expected in year 4 of the project?
Answer:
$178,000
Step-by-step explanation:
The calculation of X and Y is shown below:-
Before that we need to do the following calculations
[tex]Depreciation\ in \ 1\ year = 45\%\times Initial\ investment[/tex]
[tex]= 0.45\times\$400,000[/tex]
= $180,000
[tex]Depreciation\ in \ 4\ year = 6\%\times Initial\ investment[/tex]
[tex]= 0.06\times\$400,000[/tex]
= $24,000
Now, Operating cash flow of X in Year 1
[tex]X = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]
[tex]X = (\$628,000 - \$552,000)\times (1 - 0.50) + \$180,000\times 0.50[/tex]
= $38,000 + $90,000
= $128,000
and Operating cash flow of Y in Year 4
[tex]Y = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]
[tex]Y = (\$628,000 - \$552,000)\times (1 - 0.50) + \$24,000\times 0.50[/tex]
= $38,000 + $12,000
= $50,000
[tex]X + Y = Operating\ cash\ flow\ for\ the\ year\ 1 + Operating\ cash\ flow\ for\ the\ year\ 2[/tex]
= $128,000 + $50,000
= $178,000
hence, the X + Y is $178,000
Is the function even, odd or neither?
f(x) = |x| + 1
Your answer:
Even
Odd
Neither
Answer: Even
Step-by-step explanation:
This graph has been translated up by one unit but is still symmetrical about the y axis.
A simple proof would be to check if f(x) = f(-x). If it does, then it is even.
To check for an odd function, check if f(-x) = -f(x). If it does, then it is even.
To check for neither, f(-x) will not equal -f(x)
PLS HELP ITS OK IF U DONT KNOW ONE OF THEM AND IF U HAVE THE WORK PLS PUT IT THANK U!!!
Answer: I hope it helps
FDHIStep-by-step explanation:
[tex]y \alpha x\\y= kx (1)\\Make=k-subject-of-the-formula\\\frac{y}{x} =\frac{kx}{x} \\\\\\[/tex]
[tex]k = \frac{y}{x}. \\when-y =3, x= 7 \\k = \frac{3}{7} \\Put - k- = 3/7 -in eq - 1\\y = 3/7x = F \\[/tex]
[tex](4n+3n^2+2)-(n-6n^2+1)\\4n +3n^2+2-n+6n^2-1\\\\3n^2+6n^2+4n-n+2-1\\9n^2+3n+1[/tex]
y = 2x-4
when x= 0
y = 2(0)-4
y =-4
y = 2x - 4
when x = 1
y = 2(1) -4
y = 2-4
y = 2
and so on....
A - Negative - the more slices eaten , the fewer there are
[tex]f(x)= 2x^2 +x-12\\f(3) = 2(3)^2+3-12\\f(3) = 2*9+3-12\\f(3) = 18+3-12\\f (3) = 9[/tex]
Scott found the area of the shape to
be 30 square units. If he used a unit
square with longer sides, would his
area measurement be greater than
30 square units or less than 30 square
units? Explain.
Answer:
So if we do this to the area of Scott's shape, the result will be less than 30 squares units.
Step-by-step explanation:
If a shape has "x" square units, it means that we can fit that number of squares with side length of one unit in that given shape. For the case where we change the unit, we are changing the length of the square's sides, if the new one has greater sides, then it means that the square is bigger, therefore for the same shape we will be able to fit less squares. So if we do this to the area of Scott's shape, the result will be less than 30 squares units.
PLEASE HELP!!!!By making minimum payments on a credit card, the consumer can A) avoid paying late fees B)pay off the balance quicker C)lessen the total amount owed D)avoid paying compounding interest
the answer is A).
Step-by-step explanation:
..........................
Answer:
I think B. I'm not sure though because i'm only 13 :(
pierre, an art dealer, earns 25% commission of the dollar value of the art pieces that he sells at the bizzell Gallery. Pierre earns $10,800 this month. what is the total dollar value of the art that he sells?
Answer:
$43,200
Step-by-step explanation:
25% is 1/4 of the total dollar value, to find the answer we need to multiply 10,800 by 4 (it is 1/4, and the answer will be equivalent to the 4/4)
10,800 * 4 = 43,200
The total dollar value of the art that he sells is 43200 dollars.
What is percentage ?Percentage is the value per hundredth.We can also convert percentages into decimals by dividing he percentage value by 100.
According to the given question Pierre, an art dealer, earns 25% commission of the dollar value of the art pieces that he sells at the Bizzell Gallery. Pierre earns $10,800.
∴ 25% of the total value is 10800 dollars.
Assuming total value to be x dollars.
So, (25/100)x = 10800
(1/4)x = 10800
x = 10800 × 4
x = 43200 dollars.
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÷)))))))))))))))))))
Answer: x ≤ 16 y≥ 16
Step-by-step explanation:
-150x ≥ -2400 divide both sides by -150 and the sign will flip because you x≤16 diving by a negative number
-336 ≥ -21y
y ≥ 16
Answer:
x ≤ 16 y≥ 16
Step-by-step explanation:
Hope this helps :D
question in attachment
Answer:
[tex]a_{1}=6[/tex]
Step-by-step explanation:
It is sum of arithmetic progression
[tex]$S_{20}=\frac{20}{2} [2a_{1}+(20-1)\cdot 4]$[/tex]
[tex]$880=10[2a_{1}+(19)\cdot 4]$[/tex]
[tex]$880=10[2a_{1}+76]$[/tex]
[tex]880=20a_{1}+760[/tex]
[tex]120=20a_{1}[/tex]
[tex]a_{1}=6[/tex]
this table shows values that represent an exponential function.what is the average rate of change for this function for the interval from x=1 to x=3
Answer: -4
Step-by-step explanation:
please help i’m having a lot of trouble
Answer:
14°
Step-by-step explanation:
Because 76° and x are complementary (meaning they add up to 90°), 76 + x = 90 which means x = 14°.
