The piecewise function of the travel of the car is now described in detail:
[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex]
[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex], [tex]0.5\le t < 3.5[/tex]
[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex], [tex]3.5\le t \le 4[/tex]
How to build a piecewise function
A piecewise function is a group of functions working on certain intervals, which corresponds to three expressions in this case. Likewise, the car moves at constant speed and the resulting distance is equal to the sum of initial position ([tex]x_{o}[/tex]), in miles, and the product of speed (v), in miles per hour, and time (t), in hours.
Then, the piecewise function of the travel of the car is now described in detail:
[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex] (1)
[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex], [tex]0.5\le t < 3.5[/tex] (2)
[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex], [tex]3.5\le t \le 4[/tex] (3)
RemarkThe map with key information of velocities is missing. We proceed to show the required information:
City - 30 miles per hour
Highway - 60 miles per hour
Mountain - 45 miles per hour
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The expression x+x+x+x is equivalent to bx.
What’s the value of b
Answer:
4x
Step-by-step explanation:
X is incremented by 1
Answer:
Step-by-step explanation:
There is a 1 in front of the x. 1 is never written, but really the question looks like
1x +1x +1x +1x which when summed gives 4 x
b = 4
19. which one of the following is not equal to the rest? a 2% of 150 b. % of 400 b 3 c. 6% of 60 d. 69 of 50
Answer:
i think it's c
Step-by-step explanation:
a. 2/100 × 150= 3. b. 100×400=40000. c. 6/100 ×60= 1.2 ×3=3.6. d. 69×50=3400 so answer c.
6
It costs 35p per minute to hire a powerful computer. How much will it cost to hire the
computer from 07:40 to 08:15?
Answer:
1225p
Step-by-step explanation:
1 minute = 35p
07:40 to 08:15 : 35 minute
=> 35 minute *35p=1225p
9 halves of a cupcake for my family plus extra for my 6 friends how many should I
buy.
Answer :- 7½ or 8 ( explained below)
Explanation:-
Given :-
9 halves for family6 halves for friendsSo in total :- 15 halves for both of them
It means :- 7½ cupcakes in total u required
if u can buy an half cupcake then u need to buy :- 7½
If u can't but an half cupcake then u need to buy :- 8
Answer:
Step-by-step explanation:
8 for learning games
Find the range of:
8, 14, 6, 12, 11,9
Find of 14. 3/7
A. 3
B. 5
C. 6
D. 2
Answer:
C. 6.
Step-by-step explanation:
3/7 of 14
= 3*14/7= 42/7
= 6.
The quotient of c and 6 is greater than or equal to -20
Translate the sentence into an inequality.
Answer:
c/6 ≥ -20
Step-by-step explanation:
The quotient of c and 6 basically means c divided by 6 (minor note: we also go by the order it's written in). We place in '≥' in this inequality because, greater than means '>' and the line underneath it signifies an equal to sign, and as a result of this, we get -20.
Find the equation of a line that passes through the point (1,-4) and has a gradient of 2. Leave your answer in the form y = m x + c
Answer:
Step-by-step explanation:
(1,-4) m=2
first find c
-4=2×1+c
c=-6
y=2x+-6
HELP PLEASE IM STRUGGLING
Step-by-step explanation:
Both are very correct,
[tex]5 { }^{ - 2} = \frac{1}{25} \: or \: \frac{1}{5 {}^{2} } [/tex]
because any number raised to the power of a negative
is given as
[tex]a {}^{ - x} = \frac{1}{a {}^{x} } [/tex]
if this helped pls give brainliest
Toby thinks of a number less than 15. He divides it by 2 and then he adds 4. He then divides it by 3. His awnser is 3. 5
Answer:
The number he thought of was 13
Step-by-step explanation:
Revers the problem
3.5 * 3 = 10.5
10.5 - 4 = 6.5
6.5 * 2 = 13
The number was 13 if Toby thinks of a number less than 15. He divides it by 2 and then he adds 4.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Toby thinks of a number less than 15. He divides it by 2 and then he adds 4.
Let the number be x:
From the question:
Revers the problem
x =(3.5×3 - 4)×2
x = (10.5 - 4)×2
x = 6.5×2
x = 13
Thus, the number was 13 if Toby thinks of a number less than 15. He divides it by 2 and then he adds 4.
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The steps below show the incomplete solution to find the value of x for the equation 8x − 3x − 1 = −2 + 16:
Step 1: 8x − 3x − 1 = −2 + 16
Step 2: 8x − 3x − 1 = 14
Step 3: 5x − 1 = 14
Which of these is most likely the next step?
5x = 14
5x = 10
5x = 13
5x = 15
Answer:
5x=15. I hope it can help you a lots. thanks.
Step-by-step explanation:
5x=14+1
5×=14.
The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours? A probability distribution has the number of hours on the x-axis and the probability on the y-axis. The probability of 6 hours is 0. 02; 7 hours is 0. 11; 8 hours is 0. 61; 9 hours is 0. 15; 10 hours is 0. 9. 0. 62 0. 78 0. 84 0. 96.
The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.
How to evaluate the probability of a random variable getting at least some fixed value?Suppose the random variable in consideration be X, and it is discrete.
Then, the probability of X attaining at least 'a' is written as:
[tex]P(X \geq a)[/tex]
It is evaluated as:
[tex]P(X \geq a) = \sum_{\forall \: x_i \geq a} P(X = x_i)[/tex]
The probability distribution of X is:
x f(x) = P(X = x)
6 0.02
7 0.11
8 0.61
9 0.15
10 0.09
Worker working at least 8 hours means X attaining at least 8 as its values.
Thus, probability of a worker chosen at random working 8 hours is
P(X ≥ 8) = P(X = 8) + P(X = 9) +P(X = 10) = 0.85 ≈ 0.84 approx.
By the way, this probability distribution seems incorrect because sum of probabilities doesn't equal to 1.
The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.
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Eva is solving the equation 4(x+3/2)=8 She says, “I can subtract 3/2 from each side to get 4x=13/2 and then divide by 4 to get x=13/8."
Answer:
Wrong
Step-by-step explanation:
Eva must subtract 4*3/2=6 from each side to get 4x=2, the divide by 4 to get x=1/2
Another way:
First, divide both sides with 4 to get x+3/2=2. Then subtract 3/2 from each side and we will have x= 2-3/2= 1/2
Can someone please help me out with this question?
Answer:
A. x=6, y=3
Find the point where the two lines intersect and find the x and y coordinates where they intersect.
Does anyone know the answer to these? (forgot to put a screenshot on the last one)
Answer:
number 1
1 1000 grams
2 2000 grams
5 5000 grams
8 8000 grams
10 10000 grams
Step-by-step explanation:
now 2
1 grams 1000
3 grams 3000
4 grams 4000
6 grams 6000
9 grams 9000
that is all i know please mark me the brainiest
Find the area of the figure. Use 3.14 for π.
Total Area:- Area of square + area of Semicircle
Total area :- (L×B)+ (½× πr²)
Total area:- (12×12)+(½×π6²)
Total area:- 144+(½× 113)
Total area:- 144+ 56.5
Total area :- 200.5
Which table represents the function y =1/3 x + 4?
Input x 0 -3 -6
Output y 4 3 2
Input x 6 9 12
Output y 6 9 12
Input x 0 3 6
Output y 4 6 8
Input x 3 6 9
Output y 5 7 9
Answer:
i think that is the second one but im not sure.
Company X tried selling widgets at various prices to see how much profit they would make. The following table shows the widget selling price, x, and the total profit earned at that price, y. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the profit, to the nearest dollar, for a selling price of 28.25 dollars
Answer:
y = -7.235451 x^2 + 402.5542 x - 2382.736
why need a question when its on the picture?
Answer:
Always true.
Step-by-step explanation:
All rectangles are made up of four right angles, which are always congruent.
Find the value of x. Round to the nearest degree. Explain step by step
Harold deposited $70 in an account earning 5% interest compounded annually. To the nearest cent, how much interest will he earn in 2 years? Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
10.50
Step-by-step explanation:Harold deposited $70 in an account earning 5% interest compounded annually. To the nearest cent, how much interest will he earn in 2 years? Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Lita must find the area of the sector enclosed by central angle QCR in circle C.
Points Q and R lie on circle C. The measure of angle Q C R is 74 degrees and the radius of circle C is 1 foot.
What steps should Lita take to correctly solve this problem?
A: Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360∘, so the portion of the area she wants to find is 74∘360∘. Therefore, she must multiply 74∘360∘ times the area, which is πr2.Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360 degrees textsf comma so the portion of the area she wants to find is 74∘360∘. Therefore, she must multiply 74∘360∘ times the area, which is πr2.
B: Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360∘, so the portion of the area she wants to find is 74∘360∘, so she must multiply 74∘360∘ times the area, which is 2πr.Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360 degrees textsf comma so the portion of the area she wants to find is 74∘360∘, so she must multiply 74∘360∘ times the area, which is 2πr.
C: Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360∘, so she should subtract 74∘ from 360∘. The portion of the area she wants to find is 286∘360∘, so she must multiply 286∘360∘ times the area, which is 2πr.Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360 degrees textsf comma so she should subtract 74 degrees from The portion of the area she wants to find is 286∘360∘, so she must multiply 286∘360∘ times the area, which is 2πr.
D: Lita knows that m∠QCR=74∘ and that the whole circle has a measure of 360∘, so she should subtract 74∘ from 360∘. The portion of the area she wants to find is 286∘360∘, so she must multiply 286∘360∘ times the area, which is πr2.
To find the area of the sector, Lita must multiply 74°/360° times the area of the circle, which is πr² (Option A).
What is the Area of the Sector of a Circle?Area of sector = ∅/360 × πr², where ∅ = central angle, and r = radius of the circle.
Given the following:
∅ = m∠QCR = 74°r = 1 ft.The area of the circle she wants to find is: 74°/360°.
Since the area of the whole circle is, πr², therefore, to find the area of the sector, Lita must multiply 74°/360° times the area of the circle, which is πr² (Option A).
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The radius of a cylindrical construction pipe is 2 ft. If the pipe is 24 ft long, what is its volume?
Use the value 3.14 for I, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
2 ft
24 ft
Answer:
96π ft³ or 301.44 ft³
Step-by-step explanation:
Volume = Base Area x Height
V = (πr²)(h)
V = (π)(2²)(24)
V= 96π ft³
Use the function below to find f(-4).
fx) = 2^x
Answer:
1/16
Step-by-step explanation:
plug in -4 instead of the x.
if the exponent is negative it can be written as 1/2^4
so the answer is 1/16
What is the probability that a student chosen randomly from the class is a male who does not have an A?
Answer:
6/19
Step-by-step explanation:
2+4+7+6=19
dose not have an a=6
6/19
Please help will give brainlest! locks in 30 min!
Answer:
1
Step-by-step explanation:
[tex] \tan( \frac{5\pi}{4} ) \times \frac{\pi}{180} = 1.19[/tex]
The question wants in radian, not in degrees since using the unit circle. Hope this helps
Answer:
a) 1
Step-by-step explanation:
Tan 5pi/4: 1
Tan (-5pi/4): -1
Tan 5pi/4 in degrees: tan (225°)
A varies inversely with B.
When A is 0.25, B is 4.
Find the value of B when A is 5.
Answer:80
Step-by-step explanation:if you multiply a times 20 to get 5, you have to multiply b times 20 to get 80
thanks for the question.the the answer is 0.0625
sandra calculated the missing side of one of these three triangles using the pythagrean therom which triangle is it
Answer:
right angled triangle
Step-by-step explanation:
the only triangle that this formula can be used to find a side is the right angled triangle
Can the sides of a triangle have lengths 2, 1, and 2?
yes
no
Submit
Answer:
YES
Step-by-step explanation:
Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. (Any side of a triangle is always shorter than the sum of the other two sides)
1+2 >2
2+2>1
find the value of angle a
Answer:
angle A = 153 degrees
Step-by-step explanation:
solve for the interior missing angle.
so from the interior we know that we have 2 angles
1 is 63 degrees and 1 is 90 degrees because we see that there is a right angle and all right angles = 90 degrees, we also know that the sum of all angles in a triangle should equal 180 degrees. if we have a 63 degree angle and a 90 degree angle we know that the sum of both of them is 153 degrees we still need to find that missing angle and we can do that by minusing 153 from 180 which is 27 so the measurement of the interior angle of the triangle is 27 but that is not what we are looking for but the answer is already given to us because we know that a straight line is 180 degrees so we just minus that missing angle from 180 degrees we conclude that A = 153 degrees