Answer:
12 2/3 km per hour
Step-by-step explanation:
What is Harveys speed?
Take the distance and divide by the time
3 1/6 km
--------------
1/4 hour
Change the mixed number to an improper fraction
3 1/6 = (6*3+1)/6 = 19/6
19/6 km
--------------
1/4 hour
Copy dot flip
19/6 * 4/1 = 76/6 = 38/3 km/hr
3 goes into 38 12 times (12*3 = 36) with 2 left over
12 2/3 km per hour
PLEASE ANSWER FAST! NO LINKS!
Answer:
the first one
Step-by-step explanation:
absolute value is a number's distance from zero, so distance from zero can not possibly be negative. Therefore, |4x-2|=-6 has no solution.
Answer:
It would be the first one because there is no value of x that makes the equation be true since an absolute value can never be negative.
Step-by-step explanation:
Hope this helps:)....if don't help then sorry for wasting your time and may God bless you:)
Find the area please!!!
Answer:
32.24
Step-by-step explanation:
To get the height, use Pythagoras theorem on the smaller triangle
8^2=2^2+x^2
x^2=64-4
x=√60=2√15.
then for the base use P.T for the bigger triangle
10^2=y^2+√60^2
y^2=100-60
y=√40=2√10
1/2×(2√10+2)×2√15
=32.24
What is 2 log subscript 5 baseline (5 x cubed) one-third log subscript 5 baseline (x squared 6) written as a single logarithm?
The value of logarithm expression 2log₅(5x³) + (1/3)log₅(x² + 6) is simplified as log₅[{25x⁶}{∛(x² + 6)}].
What is a logarithm?Exponents can also be written as logarithms. The other number is equal to a logarithm with a number base. It's the exact inverse of the exponent function.
The logarithmic expression is given as
[tex]2\log _55x^3 + \dfrac{1}{3} \log _5(x^2 +6)[/tex]
We know that formulas
[tex]a \log b = \log b^a\\\\\log a + \log b = \log ab[/tex]
Then we have
[tex]\rightarrow \log _5(5x^3)^2 + \log _5(x^2 +6)^{1/3}\\\\\rightarrow \log _525x^6 + \log _5\sqrt[3]{(x^2 +6)}\\\\\rightarrow \log _5 25x^6 (\sqrt[3]{(x^2 +6)})[/tex]
More about the logarithm link is given below.
https://brainly.com/question/7302008
∣x−7∣<9 what is the answer
Answer:
x < 16
Step-by-step explanation:
∣x−7∣ < 9
x < 9 + 7
x < 16
Answer:
7x < 9
Step-by-step explanation:
because the absolute value of -7 is 7 and 7 + x = 7x.
-2/3(x+12)+2/3x= -5/4x +2
show your work thanks! :)
Answer:
Step-by-step explanation:
How many sets of three consecutive integers are there whose sum is between 51 and 60?
Answer:
4 sets
Step-by-step explanation:
16 + 17 + 18 = 51
17 + 18 + 19 = 54
18 + 19 + 20 = 57
19 + 20 +21 = 60
PLEASE HELP I WILL GIVE BRAINLIEST IF CORRECT
I belive the correct answer would be A because if M and N are the signatures it would make sense to add them. Multiply the signatures by the days, and you have your self an equation. So because we added the first two... Nikkis's petition is still the same so we would have to add hers to M again leaving you with the equation of A.
Hope this helps :)
The quadratic functions f(x) and g(x) are described as follows: f(x) = −4x2 5 x g(x) 0 0 1 1 2 5 3 1 4 0 which of the following statements best compares the maximum value of the two functions? the maximum value is the same for both functions. f(x) has a greater maximum value than g(x). g(x) has a greater maximum value than f(x). the maximum values cannot be determined.
Then the maximum value of both the quadratic functions is the same. Then the correct option is A.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadratic functions f(x) and g(x) are described as follows:
f(x) = −4x² + 5
x g(x)
0 0
1 1
2 5
3 1
4 0
The value of x for which f(x) will be maximum
[tex]\begin{aligned} \dfrac{d}{dx} \ f(x) = 0\\\\\dfrac{d}{dx} \ (-4x^2 + 5) = 0\\\\-8x =0\\\\x = 0 \end{aligned}[/tex]
Then the maximum value of f(x) will be
f(x) = −4(0)² + 5
f(x) = 5
Then the maximum value of both the functions is the same.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
Answer:
The maximum values is the same for both functions.
Step-by-step explanation:
I took the test on flvs and got it right. And it should be correct too on other places like flvs. Hope this helps.
(please don't report me for advertisement of other websites. I believe how I have put it doesn't break that rule.)
Which deal is better $1.95 for 5 kg or $0.96 for 2 kg
Answer:
$1.95 for 5kg
Step-by-step explanation:
0.96 x2 is 1.92 and not even 5kg so if you get 5kg worth of the 0.96$ per kg then it will be more expensive.
So $1.95 for 5kg is the better deal.
PLEASE HELP 75 POINTS
Answer:
A because a prism is the only solid they can be used in that way
Here is a cube.
Area = 4x(squared)
The area of a face of the cube is 4x(squared).
Write an expression for the total surface area of the cube. Write your answer as simply as possible.
Answer:
Step-by-step explanation:
A cube has 6 faces. Area of one face is 4x². To find the total suface area of cube, multiply 4x² by 6
Area of cube = 6 * 4x²
= 24x²
Given line segment AB with endpoints A(-1, 7) and B(11, -1)
Find the length of AB
The length of the segment AB is the number of units on AB, and the length of segment AB is 14.4 units
How to determine the length of segment AB?The points are given as:
A = (-1,7)
B = (11,-1)
The length of the segment is then calculated using:
AB = √(x₁ - x₂)² + (y₁ - y₂)²
So, we have:
AB = √(-1 - 11)² + (7 + 1)²
Evaluate the exponent
AB = √144 + 64
Evaluate the sum
AB = √208
Evaluate the exponent
AB = 14.4
Hence, the length of segment AB is 14.4 units
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A landscaping company uses a mixture of 20 pounds of grass seed and 356 pounds of fertilizer when reseeding a customer's lawn.
How many pounds of fertilizer will the company need for each pound of grass seed?
O A. 20
O B. 5. 6
O C. 16. 0
D. 17. 8
Answer:
D
Step-by-step explanation:
for 20 pounds of grass seed, we need 356 pounds of fertilizer
20 pounds of grass seed : 356 pounds of fertilizer
divide both sides by 20 to get 1 pound of grass seed on one side, as we want to figure out the corresponding amount of fertilizer for 1 pound of grass seed
20 pounds of grass seed/20 : 356 pounds of fertilizer/20
1 pound of grass seed: 17.8 pounds of fertilizer
Find the volume of the cylinder.
Either enter an exact answer in terms of pi or use 3.14 for pi
Volume of cylinder,=πr²h
(22÷7)×5²×3
3.14×25×3
235.5
Answer :
235.5 units³
PLEASE HELP!!
it’s multiple choice but i never get any of the answers.
differentiate y=x^(e^x)
We are given the function to differentiate:
[tex]{\quad \qquad \sf \rightarrow y=x^{e^x}}[/tex]
Do take natural log on both sides, then we will be having
[tex]{:\implies \quad \sf ln(y)=ln(x^{e^{x}})}[/tex]
[tex]{:\implies \quad \sf ln(y)=e^{x}ln(x)\quad \qquad \{\because ln(a^b)=bln(a)\}}[/tex]
Now, differentiate both sides by using so called chain rule and the product rule
[tex]{:\implies \quad \sf \dfrac{1}{y}\dfrac{dy}{dx}=e^{x}ln(x)+\dfrac{e^x}{x}}[/tex]
[tex]{:\implies \quad \boxed{\bf{\dfrac{dy}{dx}=x^{e^x}\bigg\{\dfrac{e^x}{x}+ln(x)e^{x}\bigg\}}}}[/tex]
Hence, Option B) is correct
Product rule of differentiation:
[tex]{\boxed{\bf{\dfrac{d}{dx}(uv)=u\dfrac{dv}{dx}+v\dfrac{du}{dx}}}}[/tex]Where, u and v are functions of x
pls help the question is here (12points) DUE TO DAY
Answer:
[tex]\bf Area= 90\;in[/tex]
Step-by-step explanation:
Area of ABCD = L * W
[tex]\bf 6\times 12[/tex]
[tex]\bf 72 \;in^2[/tex]
Area of EFGC:- L * W
[tex]\bf 6 \times 3[/tex]
[tex]\bf 18\; in^2[/tex]
Now, the area of the combind rectangles:-
ABCD + EFGC
[tex]\bf 72+18[/tex]
[tex]\boxed{\bf 90\; in}[/tex]
Trevor has an investment worth $6,774.50. he made his only deposit in it 22 years ago. given that the investment yields 2.7% simple interest annually, how big was the initial deposit? a. $2,524.50 b. $4,024.03 c. $4,250.00 d. $11,404.88 please select the best answer from the choices provided a b c d
Answer:
c. 4,250.00
Step-by-step explanation:
The initial deposit amount is $4,250.00.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that,
The worth of an investment is $6774.50
The time period is 22 years.
The rate of interest is 2.7%.
Now, Based on the above information, the calculation is as follows:
We know that;
SI = P x r x t
SI = P x 2.7% x 22
SI = 0.594P
Now,
Investment worth = P + SI
= P + 0.594P
= 1.594P
So, we get;
1.594P = 6774.50
P = $4,250
Therefore, we can conclude that the initial deposit amount is,
⇒ $4,250.00
Learn more about the Interest visit:
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What is the x-intercept of 4x+6y= 24
Answer:
i think its between 2-5
Step-by-step explanation:
James and Sarah went out to lunch. The price of lunch for both of them was $60. They tipped their server 30% of that amount. How much did each person pay if they shared the price of lunch and the tip equally?
Answer:
The answer is that they both payed $9.00.
Step-by-step explanation:
The both payed $60.00, and 30% of that is $18.00.
( $60.00*.03=$18.00)
$18.00 divided by two (two people, James and Sarah) is $9.00.
So they both payed $9.00 individually.
Find the mean
X. 10 20 30 40 50 60
F. 4 5 6 2 3 5
Answer:
Mean:To find the mean, you must add all the given numbers in your data then divide the sum of that by the many numbers you added together.X.
10, 20, 30, 40, 50, 60
Add them:
10 + 20 + 30 + 40 + 50 + 60
= 210
Then divide that sum by the many numbers there are, and there are 6 numbers in which we added.
210 ÷ 6
= 35, the mean for this is 35.
F.
4, 5, 6, 2, 3, 5
Add them:
4 + 5 + 6 + 2 + 3 + 5
= 25
Then divide that sum by the many numbers there are, and there are 6 numbers in which we added.
25 ÷ 6
= 4.1666..., the mean for this is 4.17.
What is a fraction that is more than 1/10 but less than 1/2
Sal recorded the number of crackers in each snack-sized package he opened. a number line goes from 5 to 15. the whiskers range from 7 to 15, and the box ranges from 7 to 10. a line divides the box at 9. which statement must be true according to the box plot? the data is symmetric, and the lowest number of crackers in a package was 7. the data is symmetric, and the lowest number of crackers in a package was 8. the data is skewed, and the lowest number of crackers in a package was 7. the data is skewed, and the lowest number of crackers in a package was 8.
The statement must be true according to the box plot if the data is skewed, and the lowest number of crackers in a package was 7. Option C is correct.
What is a number line?A number line is drawn with numbers equally spaced or sections running the length of it.
A number line should be drawn horizontally and can be extended in any direction indefinitely.
The number line shows the number of crackers lies between 7 and 13. Which is numerically as 7,8,9,10,11,12,13.The number of the digit on the number line skewed is 7.
Hence statement must be true according to the box plot if the data is skewed, and the lowest number of crackers in a package was 7. Option C is correct.
To learn more about the number line refer to the link;
https://brainly.com/question/13189025
Answer:
the answer is C
Step-by-step explanation:
Because im js swag
find the slope of the line through the given points 4,2 and 6,4
Answer:
2/2 = 1
Step-by-step explanation:
Slope intercept equation:
y2 - y1 / x2 - x1 = slope
the graphs of the functions f(x)=|x-3| + 1 and G(x)=2x + 1 are drawn. which statement about these functions is true?
A: The solution to f(x)=g(x) is 3
B: The solution to f(x)=g(x) is 1
C: The graphs intersect when Y=1
D: The graphs intersect when X=3
The only true statement that compares the two functions is:
B: The solution to f(x)=g(x) is 1
Which statements are correct?Here we have the functions:
f(x) = |x - 3| + 1
g(x) = 2x + 1
First, let's find the solution for:
f(x) = g(x)
|x - 3| + 1 = 2x + 1
|x - 3| = 2x
Notice that we have two options, x = 3:
|3 - 3| = 2*3
0 = 6 (x = 3 is not a solution)
And x = 1:
|1 - 3| = 2*1
2 = 2 (x = 1 is a solution).
Now to get the y-value where the graphs intersect, we just evaluate one of the functions in the solution we found above;
f(1) = |1 - 3| + 1 = 2 + 1 = 3
The graphs intersect when y = 3.
Then we conclude that the only true statement is:
B: The solution to f(x)=g(x) is 1
If you want to learn more about systems of equations, you can read:
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A solid wooden post in the shape of a right rectangular prism measuring 10 cm by 12
cm by 30 cm is drilled with a cylindrical hole of radius 2 cm. Find the volume of the
post after the hole has been drilled. Round your answer to the nearest tenth if
necessary?
The volume of the post = volume of rectangular prism - volume of cylindrical hole = 3,223.0 cm³.
What is the Volume of a Rectangular Prism?Volume = (l)(w)(h)
What is the Volume of a Cylinder?Volume = πr²h
Volume of the post = volume of rectangular prism - volume of cylindrical hole
= (l)(w)(h) - πr²h
= (10)(12)(30) - π(2²)(30)
Volume of the post = 3,223.0 cm³
Learn more about volume of rectangular prism on:
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If a1= 5 and an = 2an-1 + 5 then find the value of a4.
Answer:
a₄ = 75
Step-by-step explanation:
using the recursive formula and a₁ = 5 , then
a₂ = 2a₁ + 5 = 2(5) + 5 = 10 + 5 = 15
a₃ = 2a₂ + 5 = 2(15) + 5 = 30 + 5 = 35
a₄ = 2a₃ + 5 = 2(35) + 5 = 70 + 5 = 75
Answer:
[tex]a_4=75[/tex]
Step-by-step explanation:
Given:
[tex]a_1=5[/tex][tex]a_n=2(a_{n-1})+5[/tex][tex]\implies a_2=2(a_1)+5=2(5)+5=15[/tex]
[tex]\implies a_3=2(a_2)+5=2(15)+5=35[/tex]
[tex]\implies a_4=2(a_3)+5=2(35)+5=75[/tex]
Simplify.
(7sqrt(2))(3sqrt(3))
A sqrt(14) * sqrt(9)
B. 10sqrt(5)
C. 21sqrt(6)
D. 10sqrt(6)
E. 63
Answer:
21sqrt(6)
Step-by-step explanation:
Hope it helps......
3sqrt x =x-4
[tex]3 \sqrt{x} = x - 4[/tex]
solve for x
Answer:
x = 16
Step-by-step explanation:
3√x = x - 4
Raise the equation to the second power.
(3√x)² = (x - 4)²
9x = x² - 8x + 16
Rewrite the equation with the values on the left.
-x² + 17x - 16 = 0
x² - 17x + 16 = 0
Factor.
(x - 16)(x - 1) = 0
Set each part equal to 0.
x - 16 = 0
x = 16
x - 1 = 0
x = 1
Your solutions are 16 and 1, but it doesn't end there. Both of these may not satisfy the original equation, so plug them back in.
3√x = x - 4
3√16 = 16 - 4
3(4) = 12
12 = 2
16 is a solution.
3√x = x - 4
3√1 = 1 - 4
3(1) = -3
3 ≠ -3
1 is NOT a solution.
Which is f(5) for the function –2x2 2x – 3? –107 –63 –43 –37
Answer:
- 43
Step-by-step explanation:
f ( x ) = - 2x² + 2x - 3
To find : f ( 5 )
f ( 5 ) = f ( x )
Here,
x = 5
f ( 5 ) = - 2x² + 2x - 3
= - 2 ( 5 )² + 2 ( 5 ) - 3
= - 2 ( 25 ) + 10 - 3
= - 50 + 7
f ( 5 ) = - 43
Answer:
-43
Step-by-step explanation:
oon edge
mark me brain
What is the volume of a right rectangular prism with a length of 4.8 meters, a width of 23 meters, and a height of 0.9 meters?
A.4.968 m
B.9.936 m
C.11.94 m
D.34 86 m
Answer:
Volume of prism = Area of base× height
= l×b×h
=4.8×23×0.9
= 99.36 m³
All options are incorrect : )
Answer:
The answer is B
Step-by-step explanation:
Im 3 weeks late lol sorry. I took the quiz.