Answer: 12.25 ( each side )
Step-by-step explanation
Divide 49 by 4, which is 12.25
A cart is slowing down at a rate of 2t + 60 centimeters per second per
second (where t is the time in seconds).
By how many centimeters per second does does the cart slow
down between seconds 5 and 15?
The cart slows that at the rate of 20cm/s between 5 and 15secs
Given the rate function expressed as:
r(t) = 2t + 60
If the time is t = 5
r(5) = 2(5) + 60
r(5) = 70cm/s
If the time is t = 15
r(15) = 2(15) + 60
r(15) = 90cm/s
Taking the difference in rate;
Difference = 90cm.s - 70cm/s
Difference = 20cm/s
Hence the cart slows that at the rate of 20cm/s between 5 and 15secs
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For what values of k
If y = cos(kt), then its first two derivatives are
y' = -k sin(kt)
y'' = -k² cos(kt)
Substituting y and y'' into 49y'' = -16y gives
-49k² cos(kt) = -15 cos(kt)
⇒ 49k² = 15
⇒ k² = 15/49
⇒ k = ±√15/7
Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.
Help help help help help please please
Answer:
Angle 8
Step-by-step explanation:
Refer to the attached picture
Pls look at picture for question
Step-by-step explanation:
30/6+3 = 5+3 = 8
hope this helps you.
simplify the expression (9n+ 4)-(-1/2n-7)
Answer:
9 1/2n + 11
Step-by-step explanation:
9n + 1/2n + 4 + 7
9 1/2n + 11 or 19/2n + 11
f (x) = x5 − 8x4 + 21x3 − 12x2 − 22x + 20
Three roots of this polynomial function are −1, 1, and 3 + i.
Which of the following describes the number and nature of all the roots of this function?
f (x) has two real roots and one imaginary root.
f (x) has three real roots.
f (x) has five real roots.
f (x) has three real roots and two imaginary roots.
Answer:
f(x) has three real roots and two imaginary roots.
Step-by-step explanation:
The function is degree 5, so will have 5 roots in total. 2 real roots and one complex root are shown. Complex roots come in pairs, so there will be one more, but cannot be two more.
f(x) has three real roots and two imaginary roots.
__
All five roots must be accounted for. This leaves out the first two choices. The given complex root eliminates the third choice.
Answer:
D
Step-by-step explanation:
did the test
Car A travels 115 miles on 5 gallons of gas. Car B 126 miles on 6 gallons of gas. How can you find which car gets better gas mileage?
What is (are) the x-value(s) that solve the system of equations y = x and y = 2x – 1?
Answer:
y=1 x=1
y = 2x – 1
replace y with x
x=2x-1
x-2x = - 1
-x = -1
x= 1
y=x =1
Which sign makes the statement true?
A. <
B. >
C. =
Evaluate the given expression for x = 4.
x? + 5x - 8
Answer:
16
Step-by-step explanation:
[tex]x = 4 \\ 4 + 5(4) - 8 = 16[/tex]
The shape of f(x) = x^3, but shifted four units to the left, eight units down, and then reflected in the y-axis (in that order)
Answer:
steps below
Step-by-step explanation:
f(x) = x³
1. shifted four units to the left: f'(x) = (x+4)³
2. eight units down: f''(x) = (x+4)³ - 8
3. reflected in the y-axis: f'''(x) = (-x+4)³ - 8
The final shape after the transformation is f(x) = -(x + 4)³ - 8.
Original function: f(x) = x³
Shifted four units to the left: f(x) = (x + 4)³
Shifted eight units down: f(x) = (x + 4)³ - 8
Reflected in the y-axis: f(x) = -(x + 4)³ - 8
Hence, the final shape of the function after these transformations is f(x) = -(x + 4)³ - 8.
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Yoni has a ribbon that measures 5/3 yards. She wants to cut it into 3 equal pieces. What is the length of each piece of ribbon? 5\8 yards 5/6 yards 5/9 yards 5/3 yards
Answer:
Step-by-step explanation:
[tex]\frac{1}{3} * \frac{5}{3} = \frac{1 * 5}{3*3} = \frac{5}{9}[/tex]
The answer is 5/9 as you can see. 5/9 = 20 inches each.
1 yard = 36 inches
(5/9 * 36) = 5 * 4 = 20 inches.
Answer:
5/9
Step-by-step explanation:
I have a trick id like to teach here. Whenever you have a fraction being divided by a whole number, you can multiply the denominator by the diviser
So what I did was multiply the 3 by the diviser(3) and got 9
This left me with 5/9
What is the solution to -4|-2x + 6|= -24?
O x=0
O x=0 or x = -6
O x= 0 or x = 6
O no solution
Answer:
x=0 or x=6
Step-by-step explanation:
-4|-2x+6| = -24
|-2x+6| = 6
-2x+6 = 6
-2x = 0
x = 0
-2x+6 = -6
-2x = -12
x = 6
Therefore, x=0 or x=6
A restaurant has two sizes of milkshakes, small and regular. The ratio of small milkshakes purchased to regular milkshakes purchased is 14 to 6. What percent of milkshakes purchased are small?
Answer:
70%
Step-by-step explanation:
the ratio is 14 to 6 so if you have 14 small milkshakes you would also have 6 regular milkshakes
to find a percentage we can buff up the ratio to add up to 100
14 + 6 = 20
100 / 20 = 5
that means we must multiply each side by 5
14 * 5 = 70
6 * 5 = 30
the ratio is now 70 to 30
you would have 70% of milkshakes that are small
Ali caught a fish that weighed 9 1/2 lb. Lisa caught a fish that weighed 5 3/4 lb. How much more did Ali’s fish weigh?
Answer: the answer is 3 3/4
How do you solve multistep equations with variables on both sides
of the equals sign?
5x - 8 = 3x + 12
- 3x -3x
You have to subtract them both.
2x - 8 = 12
The vertices of a triangle are A(0,0),B(3,8) and C(9,0). What is the area of this triangle?
Answer:
9
Step-by-step explanation:
To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. Ax and Ay are the x and y coordinates for the vertex of A. The same applies for the x and y notations of the B and C vertices.
Fill in the numbers for each corresponding letter combination within the formula.
Fill in your formula like this: 0(8-10) + 3(0-0) + 9(0-8).
Subtract the numbers within the parentheses.
0 from 8 = 8, 0 from 0 = 0 and 8 from 10 = 2.
Multiply that result by the number to the left of the parentheses.
0 by 8 = 0, 3 by 0 = 0 and 9 by 2 = 18.
Add the three products together.
0 + 0 + 18 = 18
Divide the sum of the three products by 2.
18 ÷ 2 = 9
Answer:36
Step-by-step explanation:
Practice using angle relationships.
Assignment
J
What is the measure of JKL?
* 60°
96°
O 80°
O 110°
O 120°
240
H
K L
Answer:
120
Step-by-step explanation:
24 + 96 = 120
Hope this helps!
IR = V (solve for R) *
Answer:
R = [tex]\frac{V}{I}[/tex]
Step-by-step explanation:
IR = V ( isolate R by dividing both sides by I )
R = [tex]\frac{V}{I}[/tex]
please help ill mark brainliestO
Answer:
56
Step-by-step explanation:
Evan made a tower from 32 building blocks. Aisha made a tower using 5 times as many blocks. How many blocks did Aisha use to make her tower?
Answer:
160
Step-by-step explanation:
32×5 is 60 hope that helps
Need help with math problem 5 stars and good rating if do
Answer:
Bottom right
Explanation:
visualize both triangle connected to the middle rectangle, and that's a triangular prism
Please help me in this 4th grader question, i was sick over the weekend
Answer:
[tex] = 825 - 657 \\ = 168answer.[/tex]
Step-by-step explanation:
MARK ME AS A BRAINLIST PLZ
Answer:
825 - 657 = 168This is the answer, hope it helps you!!
In 2014, the Centers for Disease Control and Prevention reported the average human life span in the United States as
77.2 years for men and 85 years for women. Calculate how much longer, on average, U.S. women live than men in
seconds.
Express your answer in seconds.
Answer:
7.8
Step-by-step explanation:
subtract 85 - 77.2
Determine if these functions are even, odd, or neither
Answer:
First Graph: the function is symmetrical around y axis -> Even
Second Graph: the function is neither
Terry practices the same amount of time each day for his soccer tryouts. In 4 days, he has practiced for 360 minutes. Let x represent the number of days Terry practices, and let y represent the number of minutes he practices. Write an equation that could be used to represent this relationship.
Answer:
90
Step-by-step explanation:
390 ( 40; 6 )
The sum of 7/8 of a number and 20 is 34 at minimum
Answer:
7/8x ≥ 14
Step-by-step explanation:
(sum means addition in case you forgot)
You would start by writing 7/8x + 20 ≥ 34
You would then subtract 20 from both sides to isolate the variable x.
You would then have 7/8x ≥ 14
Joe ran 2 miles in 16 minutes. At this rate how long did it take him to run 5 miles.
Answer:
40min
Step-by-step explanation:
Since the ratio is 2:16, we want simplify. both 2 and 16 are dividable by 2.
2 / 2 = 1
16 / 2 = 8.
Now we can use the ratio 1 mile per 8 min. We want the rate of how many min to miles, so we'd multiply 5 by 8 which equals 40.
Therefore it takes him 40min to run 5 miles.
Hope this helps!
en.
If the graph is reflected over the x-axis, what is the
domain of the function?
all real numbers
O all real numbers greater than or equal to 0
O all real numbers greater than or equal to -2
O all real numbers less than or equal to -2
Answer:
Step-by-step explanation:
Domain means all the x's on the graph. The x's that you can literally see on the graph and for what you can't see it's all the x's you can put into the equation...for this graph, when you reflect it across the x-axis it is still the same shape, just a peak instead of a V. So the y's (range) are VERY different on the graph and its reflection. But the x's (that's the domain!) Are all still there, still on the graph, still allowed in the equation. See image
The domain of the function are all real numbers greater than or equal to 0.
What is domain and range of a function?Domain is the set of values for which the given function is defined.
Range is the set of all values which the given function can output.
If the graph is reflected over the x-axis, then we need to find domain of the function.
Domain means all the x values on the graph. The x values that you can literally see on the graph and for what you can't see it's all the x values you can put into the equation...for this graph.
when you reflect it across the x-axis it is still the same shape, just a peak instead of a V.
So the y values (range) are VERY different on the graph and its reflection.
Therefore, The domain of the function are all real numbers greater than or equal to 0.
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3n + 6n -4 = 2n + 2 + 5n
Answer:
3n +6n-4=2n+2+5n
9n-4=7n+2
9n-7n=2+4
2n=6
n=6÷2
n=3