Answer:
1e-16
Step-by-step explanation:
(10^4)/(10^19) =
(10*10*10*10)/(10^19)=
(1,000)/(10^19) =
1,000/(10*10*10*10*10*10*10*10*10*10*10*10*10*10*10*10*10*10*10)=
1,000/(10,000,000,000,000,000,000) =
1,000/10,000,000,000,000,000,000 =
1e-16
Lorena is designing a rectangular patio in her garden. She has enough tiles to cover 324 square feet. She wants the length of the patio to be 15 feet longer than the width. What dimensions should Lorena use for the patio?
Using the area of a rectangle, it is found that her patio should have a width of 12 feet and a length of 27 feet.
What is the area of a rectangle?The area of a rectangle of length l and width w is given by:
A = lw.
In this problem:
She has enough tiles to cover 324 square feet, hence A = 324.She wants the length of the patio to be 15 feet longer than the width, hence l = 15 + w.Thus:
324 = w(15 + w)
w^2 + 15w - 324 = 0
w = -27 or w = 12.
We take the positive value, hence l = 15 + w = 15 + 12 = 27 feet.
The dimensions should be a width of 12 feet and a length of 27 feet.
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Write 0.933333333 as a fraction.
Answer:
[tex]\frac{14}{15}[/tex]
Step-by-step explanation:
We require to create 2 equations with the repeating 3 after the decimal point.
let x = 0.93333333333 ( multiply both sides by 10 and 100 )
10x = 9.3333333333 → (1)
100x = 93.333333333 → (2)
Subtract (1) from (2) , eliminating the repeating decimal
90x = 84 ( divide both sides by 90 )
x = [tex]\frac{84}{90}[/tex] = [tex]\frac{14}{15}[/tex]
Thus
0.933333333333 = [tex]\frac{14}{15}[/tex]
what is the slope of the function represented by the table of values below
Answer:
The correct option is A....
Step-by-step explanation:
We have a table of x,y pairs. To compute the slope we can use any two pairs, say the first two, and plug them into our formula:
m = y2-y1 / x2-x1
m = 5-13/ 0-(-2)
m = -8/0+2
m = -8/2
m = -4
We can check this answer by using a different pair: Take the last two pairs.
m = -27-(-15)/ 8-5
m = -27+15/3
m = -12/3
m = -4
Thus the slope is -4
Please give step by step explanation
Answer: 8.4 cm
Step-by-step explanation:
Simplify the following expression \sqrt(75)+\sqrt(108)=a\sqrt(b) If the expression is simplified completely, what does a equal and what does b equal
[tex] \sqrt{75} + \sqrt{108} = a \sqrt{b} [/tex]
[tex] \sqrt{75} = \sqrt{3 \times 5 {}^{2} } = 5 \sqrt{3} [/tex]
[tex] \sqrt{108} = \sqrt{2 {}^{2} + 3 {}^{3} } = 2 \times 3 \sqrt{3} = 6 \sqrt{3} [/tex]
[tex] \sqrt{75} + \sqrt{108} = 5\sqrt{3} + 6 \sqrt{3} = 11 \sqrt{3} [/tex]
[tex]a = 11[/tex]
[tex]b = 3[/tex]
Which equation for g(x) represents the transformation of f(x) given that f(x) = x^2
g(x) = f(x) shifted left 2 units?
PLEASE HELPPP
Lets shift
[tex]\\ \rm\Rrightarrow f(x)=x^2[/tex]
[tex]\\ \rm\Rrightarrow g(x)=(x+2)^2[/tex]
[tex]\\ \rm\Rrightarrow g(x)=x^2+2x+4[/tex]
Answer:
g(x) = (x + 2)²
Step-by-step explanation:
In function notation, if we want to shift a function to the left, we add the number we are asked to move to the left inside the function's argument:
⇒ To shift f(x) b units to left → f(x + b)
Similarly, if we want to shift a function to the right, we subtract the number we are asked to move to the right inside the function's argument:
⇒ To shift f(x) b units to right → f(x - b)
Given function f(x) = x²
Shift 2 units to the left: f(x + 2) = (x + 2)²
Therefore, g(x) = (x + 2)²
ZA=
Round your answer to the nearest hundredth.
A
?
7
4
B
C
Answer:
Please post the full question/picture ^-^
Step-by-step explanation:
I believe some part of the question is missing.
PLEASEEW HELPPP WILL MARK BRAINLEST !!pntss
Triangle ABC with vertices A(1,4), B(4,1), and C( 1,1) is graphed on the coordinate plane below.
Which transformation of (triangle)ABC would yield ( triangle)A'B'C' so that AC is parallel to B'C'?
Which transformation of AABC would yield AA'B'C' so that AC is parallel to B'C'?
1.) a 180° clockwise rotation about the origin
2.) a 90° counterclockwise rotation about the origin
3.) a reflection across the y-axis
4.) a reflection across the x- axis
Answer:
the correct answer is choice 2
Step-by-step explanation:
reason being that both bc and ac would both be vertical lines so they have the same slope of undefined
Answer:
3.) A reflection across the y-axis
Hope this helps!
Juan makes $9 per hour at his job. The equation represents how much money he made yesterday. T=9h if Juan make (T) $76. 50 yesterday, how many hours did he work?
Which one of the following graphs represents
y as a function of x?
(А.
C
(В
D
Answer:
D
Step-by-step explanation:
'D' is the only graph that illustrates a function
All of the other graphs would fail a 'vertical line test'; in other words, would have two y-values for each x-value
7 hundreds+11tens+5ones=
Find the value of unknown angle .Also show the steps.
Tasha is a single taxpayer. She has $90,000 in ordinary taxable income and $12,000 in capital gains on an investment she held for six years. Use the tables to complete the statement. Single Taxpayers: Income Brackets Tax Rate Income Bracket 10% 0 to 9,525 12% 9,526 to 38,700 22% 38,701 to 82,500 24% 82,501 to 157,500 32% 157,501 to 200,000 35% 200,001 to 500,000 37% > 500,000 Single Taxpayers: Qualified Dividends and Long-Term Capital Gains Tax Rate Income Bracket 0% 0 to 38,600 15% 38,601 to 425,800 20% > 425,800 The tax rate Tasha will pay on her investment income is %.
Answer: 15%
Step-by-step explanation:
I hope this helps,
have an wonderful Day!
The tax rate Tasha will pay on her investment income is 15%.
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We need to Write the percent as a fraction in simplest form
16.24%
So, we can rewrite it as;
16.24 / 100
16 and 24/100 or 16 6/25
So the percent as a fraction is 16 6/25
We are given that;
Ordinary taxable income= $90,000
Capital gains= $12,000
Now,
The tax rate Tasha will pay on her investment income depends on her ordinary taxable income and the tax brackets for qualified dividends and long-term capital gains. Since Tasha’s ordinary taxable income is $90,000, she falls in the 15% tax bracket for her investment income.
Therefore, by the percentage the answer will be 15%.
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How do I solve this?
Answer: sorry kid
that too easy
Step-by-step explanation:
Simplify -15(y^2)^4/-5y^3y^2
Answer:
-3y^8-3y^2
Step-by-step explanation:
Pls help me on this problem I’m confused
Answer:
420 × 2 = 820 feet total
100 yards = 300 feet
125 yards = 375 feet
300 + 375 = 675
820 - 675 = 145 feet
they have 145 feet left
A town plans to put a triangular garden in the town square. The length of the base of the garden will be 9 meters, and the height will be 16 meters. What will be the area of the garden? Enter your answer in the box. M2.
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
now, we only need to calculate :
9 × 16 / 2 = 9 × 8 = 72 m²
Answer: 72
Hope this helps!
Given a graph, with no equation, how can you graph the inverse?
There are two different ways you can do this, I have provided both below.
Answer: You can switch all the x and y coordinate values.
For example, if you have (2, 1) you would graph (1, 2).
Another example, if you have (677, 83) you would graph (83, 677)
Answer: Flip the graph over the line of y = x
I have attached an example from lumenlearning.com.
In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π5 radians. what is the arc length? use 3.14 for π and round your final answer to the nearest hundredth. enter your answer as a decimal in the box. m
The length of the arc subtending a central angle of 9π/5 radians is 152.12m.
The radius of the given circle r = 26.9m
The measure of the central angle α = [tex]\frac{9\pi }{5}[/tex] radians
What is the arc of the circle?The arc of a circle is defined as the part or segment of the circumference of a circle. Its length is the product of the central angle(in radian) and radius of the circle.
So, the length of the arc subtending a central angle of 9π/5 radians
l = rα
l = 26.9 * 9π/5
l = 152.12m
Therefore, the length of the arc subtending a central angle of 9π/5 radians is 152.12m.
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-20 divided 2+ (-15)=
Answer:
-35
Step-by-step explanation:
Using the rules of BIMDAS, division goes before addition, hence -20/2 which gives you -10
Put that in the equation and it would be:
-10 + (-15)
A negative and a positive make a negative hence, you could simply write it as:
-10 - 15
Which equals -35
if five arithmetic means are inserted between -9 and 9, what is the third mean?
Answer:
???????????????????????
Solve the equation and enter the value of x below.
5x + 4 + 6x = 70
X =
Answer here
Step-by-step explanation:
5x+6x=70-4
11x=66
x=66/11
x=6
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER PLEASE
Answer:
452.16 cm^2
Step-by-step explanation:
To find the area of a circle with the circumference we can say that half of the circumference is the radius. Hence our radius will be 12 cm.
A=[tex]\pi[/tex]r^2
A=[tex]\pi[/tex]12^2
A=[tex]\pi[/tex]144
A=144[tex]\pi[/tex]
We replace pi with 3.14
A=144*3.14
A=452.16
Damien deposited $250 in an account that earned 3.75% interest compounded annually.
He did not make additional deposits or withdrawals.
What will be the balance in this account at the end of 4 years?
The balance in his account at the end of 4 years will be $289.67.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Principal amount (P) = $250
Rate (r) = 3.75%
Time (t) = 4 years
Now,
Since, We know that;
⇒ [tex]A = P (1 + \frac{r}{100} )^t[/tex]
Where, A is the future amount.
P is the principal amount.
t is the time.
r is the rate.
Thus, By substitute all the values, we get;
⇒ [tex]A = P (1 + \frac{r}{100} )^t[/tex]
⇒ A = 250 (1 + 3.75/100)⁴
⇒ A = 250 (103.75/100)⁴
⇒ A = $289.67
Thus, The balance in his account at the end of 4 years will be $289.67.
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Which of the following is the greatest common factor of 60 and 64?
Answer:
Greatest common factor (GCF) of 60 and 64 is 4.
Step-by-step explanation:
The HCF of two numbers 60 and 64 is 4.
What is LCM?LCM is the least common multiple is the smallest number that is divisible by two or more than two given numbers.
We know that the greatest common factor of two or more than two numbers is the largest number that divides the given numbers completely.
Given we have to find HCF of 60 and 64.
2 can divide both the numbers but 4 also divides the numbers and n such no. more than 4 divide them completely and simultaneously.
∴ HCF of 60 and 64 is 4.
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Simplify and leave in radical form √3^3 √2
Answer:
[tex]3\sqrt{6}[/tex]
Step-by-step explanation:
[tex](\sqrt{3} )^{3} \sqrt{2}[/tex]
[tex](\sqrt{3} )^{3}=\sqrt{3} \sqrt{3} \sqrt{3} =3\sqrt{3}[/tex]
[tex]3\sqrt{3} \sqrt{2} =3\sqrt{6}[/tex]
find the number that makes the ratio equivalent to 9:18 _:2
Answer:
9:18 = 1:2
Step-by-step explanation:
18/9 = 2
9/9 = 1
9:18 = 9/9:18/9 = 1:2
Hey whats up Solve for x on both problems
4,7
Step-by-step explanation:
17x+6=19x-2(being vertically opposite)
6+2=19x-17x
8=2x
x=8/2
x=4
10x-5=9+8x(being corresponding angle)
10x-8x=9+5
2x=14
x=14/2
x=7
i need help with this please!
Answer:
Plug in those values for the x in the equations.
Step-by-step explanation:
f(x) = x^2 + x
(x = -1) :: f(-1) = (-1)^2 + (-1)
f(-1) = -1 + -1
f(-1) = -2
(x = 2) :: f(2) = (2)^2 + (2)
f(2) = 4 + 2
f(2) = 6
f(x) = x^2 - x
(x = -1) :: f(-1) = (-1)^2 - (-1)
f(-1) = 1 - (-1)
f(-1) = 2
(x = 2) :: f(2) = (2)^2 - (2)
f(2) = 4 - 2
f(2) = 2
f(x) = -x^2 - x
(x = -1) :: f(-1) = -(-1)^2 - (-1)
f(-1) = -1 + 1
f(-1) = 0
(x = 2) :: f(2) = -(2)^2 - (2)
f(2) = -4 - 2
f(2) = -6
Solve using elimination. x − 8y = 19 9x + 8y = 11 (, )
Answer:
[tex](3;-2)[/tex]
Step-by-step explanation:
Let's add together the two equations
[tex]I + II : x-8y +9x +8y = 19+11 \rightarrow 10x=30 \rightarrow x =3[/tex]
At this point I would recommend simply using the value of x in the firs equation to find y. [tex]3-8y=19 \rightarrow -8y=16 \rightarrow y=-2[/tex]
Or just multiply the first by 9 and subtract the second.
[tex]9\times I-II: 9x-72y-9x-8y=171-11 \rightarrow -80y=160 y=-2[/tex]