Matthew is competing in a race. He runs 20 kilometers in 2 hours. At the rate given how many kilometers can Matthew run in 1 hour?
Answer:
Mattew would run 10 kilometers in 1 hour
Step-by-step explanation:
20/2 = 10 Kilometers
2/2 = 1 hour
Identify the property used in each step of solving the inequality 7x+4<46
Answer:
your answer would be : x<6
Answer:
Step 2) Addition
Step 3) Multiplication
Step-by-step explanation:
Edge 2021
Which decimal is equivalent to
11/50
Answer:
0.22
Step-by-step explanation:
To get 11/50 converted to decimal, you simply divide 11 by 50.
7,574 divided 5 if u get it right ur my best friend
Answer:
Step-by-step explanation:
1514.8 can i get brainlis if correct
2x^2+3x=(2x-1)(x+1)
Pls do explain
[tex]x=-\frac{1}{2}[/tex]
Step-by-step explanation:You could solve this problem by either: Factoring or by using the Quadratic Formula.
SOLVING BY FACTORING STEPS
STEP 1: Move (2x−1)(x+1) to the left side of the equation by subtracting it from both sides.
[tex]2x^2+3x-(2x-1)(x+1)=0[/tex]
STEP 2: Simplify 2x^2+3x−(2x−1)(x+1).
[tex]2x+1=0[/tex]
STEP 3: Simplify each term.
[tex]2x^2+3x-2x^2-x+1=0[/tex]
STEP 4: Simplify by adding terms.
[tex]2x+1=0[/tex]
STEP 5: Subtract 1 from both sides of the equation.
[tex]2x=-1[/tex]
STEP 6: Divide each term by 2 and simplify.
[tex]x=-\frac{1}{2}[/tex]
SOLVE BY USING THE QUADRATIC FORMULA STEPS
STEP 1: Move all terms to the left side of the equation and simplify.
[tex]2x+1=0[/tex]
STEP 2: Subtract 1 from both sides of the equation.
[tex]2x=-1[/tex]
STEP 3: Divide each term by 2 and simplify.
[tex]x=-\frac{1}{2}[/tex]
Find the 2nd Derivative:
f(x) = 3x⁴ + 2x² - 8x + 4
Answer:
[tex]f''(x)=36x^2+4[/tex]
Step-by-step explanation:
Let's start by finding the first derivative of [tex]f(x)= 3x^4+2x^2-8x+4[/tex]. We can do so by using the power rule for derivatives.
The power rule states that:
[tex]\frac{d}{dx} (x^n) = n \times x^n^-^1[/tex]This means that if you are taking the derivative of a function with powers, you can bring the power down and multiply it with the coefficient, then reduce the power by 1.
Another rule that we need to note is that the derivative of a constant is 0.
Let's apply the power rule to the function f(x).
[tex]\frac{d}{dx} (3x^4+2x^2-8x+4)[/tex]Bring the exponent down and multiply it with the coefficient. Then, reduce the power by 1.
[tex]\frac{d}{dx} (3x^4+2x^2-8x+4) = ((4)3x^4^-^1+(2)2x^2^-^1-(1)8x^1^-^1+(0)4)[/tex]Simplify the equation.
[tex]\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x^1-8x^0+0)[/tex] [tex]\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x-8(1)+0)[/tex] [tex]\frac{d}{dx} (3x^4+2x^2-8x+4) = (12x^3+4x-8)[/tex][tex]f'(x)=12x^3+4x-8[/tex]Now, this is only the first derivative of the function f(x). Let's find the second derivative by applying the power rule once again, but this time to the first derivative, f'(x).
[tex]\frac{d}{d} (f'x) = \frac{d}{dx} (12x^3+4x-8)[/tex] [tex]\frac{d}{dx} (12x^3+4x-8) = ((3)12x^3^-^1 + (1)4x^1^-^1 - (0)8)[/tex]Simplify the equation.
[tex]\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4x^0 - 0)[/tex] [tex]\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4(1) - 0)[/tex] [tex]\frac{d}{dx} (12x^3+4x-8) = (36x^2 + 4 )[/tex]Therefore, this is the 2nd derivative of the function f(x).
We can say that: [tex]f''(x)=36x^2+4[/tex]
Answer:
[tex]y = f(x) = 3 {x}^{4} + 2 {x}^{2} - 8x + 4 \\ \frac{dy}{dx} = 12 {x}^{3} + 4x - 8 \\ \frac{d {}^{2} y}{dx {}^{2} } = 36 {x}^{2} + 4 \\ \boxed{\frac{d {}^{2} y}{dx {}^{2} } = 4(9 {x}^{2} + 1)}[/tex]
f"(x)= 4(9x^2+1)An unconfined compression test was performed to determine the average strength of concrete cylinders (in psi). It is believed that the strength is approximately normally distributed with a standard deviation of 256 psi. A sample of 70 concrete cylinders was taken, and it was found that the average strength was 3000 psi. Find a 91% confidence interval for the true average strength of the concrete.
Be sure to:
• State the value for α.
• State whether you should use z or t and find the appropriate value. Round z-values to 2 decimals. Round t-values to 3 decimals.
• Find the confidence interval (to 2 decimals). State the parameter your confidence interval is for.
• Write a verbal interpretation of your confidence interval.
Answer:
Explained below.
Step-by-step explanation:
(1)
The confidence level is, 91%.
Compute the value of α as follows:
[tex]\text{Confidence level}\% =(100-\alpha \%)\\\\91% = 100-\alpha \%\\\\\alpha \%=100-91\%\\\\\alpha \%=9\%\\\\\alpha =0.09[/tex]
(2)
As the population standard deviation is provided, i.e. σ = 256 psi, the z value would be appropriate.
The z value for α = 0.09 is,
z = 1.69
(3)
Compute the 91% confidence interval as follows:
[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]
[tex]=3000\pm 1.69\cdot\frac{256}{\sqrt{70}}\\\\=3000\pm 51.71\\\\=(2942.29, 3057.71)[/tex]
(4)
The 91% confidence interval for population mean implies that there is a 0.91 probability that the true value of the mean is included in the interval, (2942.29, 3057.71) psi.
please answer this. i’ve asked 3 questions of this same thing bc people don’t even answer them, i’ll give brainliest to whoever answers correctly. i’m failing and really need this answered
1. A wave has a wavelength of 5 m and a frequency of 2 Hz. At what speed/velocity does the
wave travel?
2. The speed/velocity of a wave on a guitar string is 100m/s and the frequency is 1,000 Hz. What
is the wavelength of the wave?
3. If the speed/velocity of a wave is 25 m/s and the wavelength is 5 m, what is the frequency of
this wave?
We will be using the formula: Speed = Wavelength * Frequency
1. Given: Wavelength = 5 m and Frequency = 2 Hz
Speed of the wave = Wavelength * Frequency
Speed of the wave = 5 * 2
Speed of the wave = 10 m/s
__________________________________________________________
2. Given: Speed of the wave = 100 m/s and Frequency= 1000 Hz
Wavelength = Speed / Frequency
Wavelength = 100 / 1000
Wavelength = 0.1 m
__________________________________________________________
3. Given: Speed of the Wave = 25 m/s Wavelength = 5 m
Frequency = Speed / Wavelength
Frequency = 25 / 5
Frequency = 5 Hz
I need help with this
Answer:
The missing value in the ordered pair is 6.
Step-by-step explanation:
Given that:
The ordered pairs are (-1, 3) and (x,-7)
We have to find the missing value x so that the ordered pairs have a slope -2.
Slope is the steepness of a line which is denoted by m.
Slope =m= -2
Here,
[tex]x_1=-1, y_1=3\\\\x_2=x, y_2=-7[/tex]
Slope is given by;
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Putting the given values,
[tex]-2=\frac{-7-3}{x-(-1)}\\-2=\frac{-10}{x+1}\\-2(x+1)=-10\\-2x-2=-10\\-2x=-10-2\\-2x=-12[/tex]
Dividing both sides by -2
[tex]\frac{-2x}{-2}=\frac{-12}{-2}\\x=6[/tex]
Hence,
The missing value in the ordered pair is 6.
3y(2y+5) solve the problem
3y×(2y+5)
Multiply each term in the parentheses by 3y
3y×2y+3y×5
Calculate the product
6y²+3y×5
Now we do the same thing only different way
3y×2y
Multiply the numbers
6y×y
If a term doesn't have an exponent , it is considered that the exponent is 1
6y^1×y^1
Multiply the terms with the same base by adding their exponents
6y^1+1
add the numbers
6y²
6y^2+3y×5×
calculate the product
6y²+15y
It's the same thing only different way ok
3y×5
Multiply the numbers
15y
answer: 6y²+15y
PLEASE MARK ME AS BRAINLIEST
Help ASAP Please with this math problem. Just look at the picture.
[tex] {( \sqrt{9)} }^{2} [/tex]
[tex] ={3}^{2} [/tex]
[tex] = 9[/tex]
[tex] {9}^ \frac{1}{2} [/tex]
[tex] = ({3}^{2} ) ^{ \frac{1}{2} } [/tex]
[tex] = 3 ^{1} [/tex]
[tex] = 3[/tex]
Help now pleaseee
The ratio of blue marbles to red marbles in a bag is 2:3. In the same bag, the ratio of blue marbles to yellow marbles is 1.1. Which of the following statements is true?
There are less yellow marbles than blue marbles
There are less yellow marbles than red marbles
There are less blue marbles that yellow marbles
There are less red marbles than blue marbles
Answer:
There are less yellow than red
Step-by-step explanation:
2/3 = .6666666 blue to red
1/1 = 1 blue to yellow
Dana and Steven read the same book with 60 pages. Dana read 1/4 of the book in 3/10 hour. Steven read 1/5 of the book in 1/6 hour. Which statement is true?
Answer: Steven read more pages per minute than Dana
Step-by-step explanation:
Write an expression:
The temperature today was 10 degrees colder then twice(times two) yesterday’s temperature “t”
Answer: T=10-2 x y
Step-by-step explanation: that is the reason
What is an expression that is equivalent to 5x
PLEASE HELP I REALLY NEED HELP
Answer:
Hi I am not sure but I think it is A
Find x so that the triangle shown below is a right triangle.
i think its 7.5
Hopefully this helped
Ethan’s water bottle is 1/2 full. Olivia’s water bottle is 2/6 full. Who has a more filled water bottle?
Answer:
Ethan's
Step-by-step explanation:
Ethan's is 1/2 and Olivia's simplified to be 1/3.
Ethan needs only 2 to have a full bottle and Olivia need 3 to have a full bottle.
I need help answering the second one. please i really need to pass my final and this is extra credit.
Karl is a basketball player whose height is 76in. His team’s mean height is 79.5 in.
a) What is Karl’s z-score?
b) What percent of players in the team are shorter than Karl?
Zoey had 3/4 of a pizza left after going to a local restaurant last night. Today she eats 1/3 of the remaining pizza for lunch. How much of the original pizza does Zoey have left now?
Answer:
half of the pizza is left
Step-by-step explanation:
1 ) three quarters are left = 75% of the original pizza
2) she eats one third of the pizza = 1/3 of 75
3) one third of the pizza is 25 %
4) 75-25 = 50
5) 50 is half of the pizza
a map is drawn using a scale of 1cm/80mi
two cities are 280 miles apart.
how far apart are the cities on the map?
A. 4.5 mi
B. 3.5 cm
C. 3.5 mi
D. 4.5 cm
Answer:
B) 3.5cm
Step-by-step explanation:
1/80 = n/280
1 * 280 = n * 80
280 = 80n
3.5 = n or n = 3.5
PLS HELP
52
Solve for 44.
4 = [?]
49°
44
Answer:
angle 4 (the exterior angle) = 101°
Answer:
101
Step-by-step explanation:
first , let angle 4 be x
then
x =52+ 49 (exterior angle of a triangle is equal to sum of opposite interior angles)
=101
hope this helps u
Need help on algebra b1
b-8 -53
Feed:
i would recommend you to put the correct statement of the question so people can understand it better but from what i get your trying to ask is that : b-8-53
Step-by-step explanation:
well i dont get what your trying to say or ask
expand and simplify (3c+4)(5+2c)
Answer:
6c(square)+23c+20
Step-by-step explanation:
15c+6c(square)+20+8c=6c(square)+23c+20
Factor the expression given below. Write each factor as a polynomial in descending order 9x2-1
The factored expression of 9x^2 - 1 is (3x -1)(3x + 1)
How to factor the polynomial?The polynomial expression is given as:
9x^2 - 1
Express 9x^2 as a perfect square
(3x)^2 - 1
Apply the difference of two squares
(3x -1)(3x + 1)
Hence, the factored expression of 9x^2 - 1 is (3x -1)(3x + 1)
Read more about factoring at:
https://brainly.com/question/19386208
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Using the paths shown, the distance from Brookfield to Seaside is 20.4 kilometers.
How far is it from Brookfield to Yardley?
Answer:
7.2 km
Step-by-step explanation:
Distance between Brookfield to Seaside = 20.4 km
Distance between Yardley and Seaside = 13.2 km
Let distance between Brookfield to Yardley be x.
Thus:
x + 13.2 km = 20.4 km
Subtract 13.2 from each side
x = 20.4 - 13.2
x = 7.2
Distance from Brookfield to Yardley is 7.2 km
Which of the following shows the graph of y= 2ex
Answer: more detail pls
Step-by-step explanation:
Answer:
Im pretty sure it's the third option C
Step-by-step explanation:
Craig likes to collect vinyl records. Last year he had 10 records in his collection. Now he has 12 records. What is the percent increase of his collection.
Please answer with explanation.
Answer:
Craig's collection increased by 20%.
Step-by-step explanation:
Original amount: 10
New amount: 12
To find the percent increase, we first need to find how much Craig's record collection increased by. To do this, subtract the old amount from the new amount:
12 - 10 = 2
The amount his collection increased by is 2. To find the per cent increase, divide 2 by the original amount of records:
[tex]\frac{2}{10}=\frac{1}{5}= 0.20[/tex]
Convert the decimal into a percentage:
0.20 * 100 = 20%
The percent increase of Craig's record collection is 20%.
Read the last sentence of "Ain't I a Woman?"
Obliged to you for hearing me, and now old Sojourner ain’t got nothing more to say.
Which best describes the effect of these words?
They remind the audience that Truth has had rich life experience and offers valuable wisdom.
They suggest that the audience has listened to and understood all of Truth’s reasons.
They inform the audience that Truth will not give another speech about women’s suffrage.
They encourage the audience to question Truth’s reasoning and the ideas she has put forth.
Answer:
They suggest that the audience has listened to and understood all of Truth’s reasons.
Step-by-step explanation:
Obliged to you for hearing me, and now old Sojourner ain’t got nothing more to say.
This Implies that she needs to say nothing more, because the truth was so blaringly obvious that everyone in the crowd understood it. It also implies that no better argument for her cause could be put forward, and none was needed.
The statement that most adequately recounts the impact of the given words is: Option A: They remind the audience that Truth has had rich life experiences and offers valuable wisdom.
Effect of WordsFrom the story of "Ain't I a Woman?", we can see that Sojourner is a strong-headed woman that had gone through serious battles all her life in seeking equal rights of women.
Now, the last sentence from "Ain't I a Woman" given in the question exists to help tell the reader that Truth had encountered standard experiences in his life and as such it promotes useful understanding and ideas.Finally, words used like "obliged" and "old" are descriptive words that help show us that she is a humble, and experienced person.
In conclusion, the correct answer is Option A.
Read more about effect of words at; https://brainly.com/question/14031409
Please help me help me!! PLS
Answer:
m
Step-by-step explanation: