Answer:
The profit in 1960 (i.e. year 1) was 3280 dollars
Step-by-step explanation:
Given
[tex]P(t) = 2t^3 - 152t^2 + 3400t + 30[/tex]
Where
t = years since 1960 (the first year)
Required
Determine the profit in 1960
Since the first year is 1960, then [tex]t =1[/tex]
To get the profit, we simply substitute 1 for t in [tex]P(t) = 2t^3 - 152t^2 + 3400t + 30[/tex]
[tex]P(t) = 2t^3 - 152t^2 + 3400t + 30[/tex] becomes
[tex]P(1) = 2(1)^3 - 152(1)^2 + 3400(1) + 30[/tex]
[tex]P(1) = 2*1 - 152*1 + 3400*1 + 30[/tex]
[tex]P(1) = 2- 152 + 3400 + 30[/tex]
[tex]P(1) = 3280[/tex]
Hence, the profit in 1960 (i.e. year 1) was 3280 dollars
If the graph of the function f has a multiple zero at x = 2, what is a possible exponent of the factor x - 2? Justify your reasoning.
Answer:
[tex](x-2)^2[/tex]
The exponent is 2.
Step-by-step explanation:
Remember multiplicity rules:
If a factor has an odd multiplicity (e.g. it is raised to 1, 3, 5...) then it will cross the x-axis. If a factor has an even multiplicity (e.g. it is raised to 2, 4, 6...) then it will bounce off the x-axis.At x=2, we have the factor (x-2).
From the graph, we can see that the graph bounces off at that point.
Hence, the multiplicity of (x-2) must be even.
Therefore, a possible exponent for the factor (x-2) is 2. Any even number will suffice.
Which of the following statements best describes the value of the expression 7x + 6 when x = 5? A. The result is a fraction. B. The result is a prime number. C. The result is a composite number. D. The result is a whole number that is neither prime nor composite.
Answer: B) The result is a prime number
==================================================
Explanation:
Replace x with 5. Then use PEMDAS to simplify.
7x+6
7*5+6
35+6
41
The expression 7x+6 is equal to 41 when x = 5.
The value 41 is prime because its factors are only 1 and 41.
Answer:
B
I know this is a year later lol
Ashely spent half of her weekly allowance at the movies. To earn more money her parents let her clean the windows in the house for $7. She cleans 5 windows in the house. What is her weekly allowance if she ended with $50?
Answer:
Her weekly allowance is $30
Step-by-step explanation:
The blue dot is at what value on the number line?
Answer:
the blue dot is at -19 on the number line
Step-by-step explanation:
Slope is 2, and (5, 3) is on the line.
Answer:
3 = 2(5) + b
Step-by-step explanation:
Equation for a slope is y=mx+b.
Y = Y-value on the graph
M = The slope
X = X-value on the graph
B = Y-intercept
If the coordinates are ( x, y )
Then that must mean that x = 5 and y = 3 because the numbers would replace the variables in the same order
The B-value is unknown for now but you are able to find it by solving this algebraically.
3=2(5) + b
3 = 10 + b
-10 = -10 + b
-7 = b
Because the 10 and the -10 would cancel each other. Leaving you with only -10 on the other side.
I hope that this helps.
4. Two more than a certain number is 15 less
7
8
than the product of and the number.
Answer:
Equation: x + 2 = 7/8x - 15
Solution: x = -136
Explanation:
x + 2 = 7/8x - 15
2 + 15 = 7/8x - x
17 = 7/8x - 8/8x
17 = -1/8x
17 × -8 = x
-136 = x
Someone help please
Find the sine of
Answer:
5/13
Step-by-step explanation:
The sine of angle r is opposite over hypothenuse,5/13.
If you need help with sine cosine and tangent just remeber
sohcahtoa This means sine=opposite over hypotenuse, cosine=adjacent over hypotensuse, tangent=opposite over adjacent.
find the least common multiple of 10, 5, and 3.
Answer:
The LCM of 10, 5 and 3 is 30.
Help needed Write a formula that expresses the remaining length of the candle in inches, r, in terms of the burned length of one end of the candle (in inches), x.
Let f(x) represent the weight of the jar when there are x marbles, where f(0)=10. Which equation correctly represents f(x) in terms of f(x−1) for all x>0?
A
f(x)=3⋅f(x−1)
B
f(x)=f(x−1)+3
C
f(x)=f(x−1)+3x
D
f(x)=f(x−1)+2x+1
Answer:
B
Step-by-step explanation:
We essentially have the sequence:
10, 13, 16, 19, 22,25...
This is an arithmetic sequence because each subsequent term differs only by a constant.
And this constant, the common difference, is +3 since each subsequent term is 3 more than the previous term.
Hence, we can write a recursive formula for our sequence.
We will first define our first term. The first term, at x=0, is 10. Hence:
[tex]f(0)=10[/tex]
Each term, x, is +3 the previous term (x-1). Therefore:
[tex]f(x)=f(x-1)+3[/tex]
Hence, our answer is B.
Answer:
B
Step-by-step explanation:
f(x)=f(x-1)+3x
14 POINTS PLEASE HELP ME PLEASE
Answer:
god
Step-by-step explanation:
Answer:
1 Solution
Step-by-step explanation:
I
Select the correct answer. Simplify the following expression. x-2/3 times x 6/7
Answer:
4/7
Step-by-step explanation:
Answer: Correct Answer is X 4/21
Step-by-step explanation: I got it right
10
9
8
7
6
5
4
3
2
1
х
0 1 2 3 4
5
6
7
8 9
10
What is the slope?
Answer:
what is that you are trolling
Step-by-step explanation:
Answer:
you do over and then up and see where the line intersects the points
(1,3)
Please help i will mark branniest :)
Answer:
please mark me as brainlist
Step-by-step explanation:
-3.5,-1/4,2,1/3
Instructions: Given the following image of two parallel lines cut by a transversal, find the value of x.
Answer:
First, these angles are alternate interior angles.
[tex] 10x - 5 = 9x + 1 [/tex]
[tex] x = 6 [/tex]
Step-by-step explanation:
(10x - 5)° and (9x + 1)° are alternate interior angles. Thus, they are congruent to each other.
Thus, to find x, we will set each angle equal to the other.
[tex] 10x - 5 = 9x + 1 [/tex]
Solve for x. Collect like terms
[tex] 10x - 9x = 5 + 1 [/tex]
[tex] x = 6 [/tex]
QUESTION 3
Mark multiplied a number by itself, and found a product of 30. What is the number he started
with, rounded to the nearest tenth?
Answer:
5.5
Step-by-step explanation:
√30, which will round to 5.5, because √30*√30=30.
n for number
n x n = 30
n =
we have multiple options for n
exact forms:
√30
-√30
exact decimal forms:
5.47722557...
-5.47722557...
rounded to the nearest tenth:
i THINK:
5.5
-5.5
5.4
-5.4
sorry if im wrong with the rounding, hope this helps though :)
How is 1.03 written as a percent?
Answer:
103%
Step-by-step explanation:
It doesn't matter if the number is bigger than 100 in math my teacher told me.
Please say my answer was the most helpful. I want to have a brainliest.
A group of 100 students were surveyed about their interest in a new Economics major. Interest was measured in terms of high, medium, or low. In the study, 30 students responded high interest, 50 students responded medium interest, and 20 students responded low interest. What is the best way to illustrate the percentage of student interest
Answer:
Pie chart
Step-by-step explanation:
Pie Chart - This physically portrays information as a decimal number of a whole, and may be a powerful authentication scheme for the uninformed public. It helps the viewer to see a collection of results at a glance in order to do an instant review or easily interpret details.
NY Giants quarterback, Eli Manning’s rating for the 2014 season given the following stats: 601 attempts, 379 completed passes, 32 touchdowns, 10 interceptions, and 4,415 yards. (Round all answers to the nearest tenths)
601 attempts = 600
379 completed passes = 380
32 touchdowns = 30
10 interceptions = 10
4,415 yards = 4,420
What is the answer to this? Plz answer! It's due tomorrow!!!!!
Answer: the third answer (C)
Step-by-step explanation:
Please asking for help thanks!
3 1/3 - 2 7/12 Please help me sorry
Answer:0.75
Step-by-step explanation:
see the image please answer as fast as possible 15 points! also round, please
Answer:
67.7Step-by-step explanation:
perimeter = semicircle (x2) + parallelogram side (x2)
= 1/2 π 12 (x2) + 15 (x2)
= 37.7 + 30
= 67.7
Express in the form 1:n.
Give n as a fully simplified fraction.
12:2
Answer:
1:n
12:2
12÷12:2÷12
Answer ==
1:1
6
Answer: is, 1:1/6 , a fully simplified fraction.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
1:n, the form of expression.
given that,
=>12:2
=>12÷12:2÷12
=>1:1/6
Answer is, 1:1/6.
To learn more on ratio click:
brainly.com/question/13419413
#SPJ2
Find -1 5/6 + (-1/3) model the expression on the number line drawing an arrow
Answer:
I hope this helps!
Answer: The answer is in the picture.
Step-by-step explanation: But what is the sum?
Get ready for takeoff. Change one number in the equation below to safely land the plane. 01 Press "Submit" to see if the plane lands safely. y = 2x - 7 Submit 0 5 10 -5 (8.891, -3.578) --10
Answer:
Step-by-step explanation:
Since we don't know x, let's come up with our own.
Lets chose 6 for x.
Now, let's plug in 6: y = 2 * 6 - 7
Multiply: y = 12 - 7
Subtract: y = 5
So our first point is (6, 5)
Now lets choose a second x: 5
Plug it in: y = 2 * 5 - 7
Multiply: y = 10 - 7
Subtract: y = 3
So our second point is (5, 3)
Find both of these points and your answer should look like the attached image.
I hope this helped, please mark Brainliest, thank you !!
Given segment AB with points (-4, 8) and (6,3) respectively. Find the
coordinates of point P that partitions Segment AB in the ratio 3:2. The answer should be entered in the form (x,y) with out any spaces between characters.
Answer:
The answer is "Coordinates of point P= (2,5)"
Step-by-step explanation:
We are familiar with the internal division of AB by point P, i.e. 3:2, [tex]\frac{AP}{PB}= \frac{3}{2}[/tex]
Therefore, we use the internal division formula.
Points:
[tex]\to (-4,8) \ and \ (6,3)\\\\ x_1 = -4\\y_1 = 8\\x_2= 6\\y_2 =3 \\[/tex]
Formula:
[tex]\to x = \frac{(mx_2 + nx_1)}{(m + n)}\\\to y = \frac{(my_2 + ny_1)}{(m + n)}\\\\where,\\\\\to m = 3 \\ \to n = 2[/tex]
Replacing the x coordinate representations of A and B with x, we have
[tex]x = \frac{(3 \times 6 + 2 \times (-4))}{(3 + 2)}\\\\[/tex]
[tex]= \frac{(18 - 8)}{5}\\\\ = \frac{10}{5}\\\\ = 2[/tex]
Replacing the, y coordinate representations of A and B with y, we have
[tex]y = \frac{(3 \times 3 + 2 \times 8)}{(3 + 2)}\\\\[/tex]
[tex]= \frac{( 9 +16)}{(5)}\\\\= \frac{25}{5}\\\\=5[/tex]
The coordinates of point P= (2,5).
Solve for x. Please help quick, it’s my last question for my test
Answer:
x = 9
Step-by-step explanation:
84 + (7x + 5) + (180 - (17x-1)) = 180
84 + 7x + 5 + (181 - 17x) = 180
270 + (-10x) = 180
90 = 10x
x = 9
[tex] \sqrt[43]{5} [/tex]
Simplify the expression
Answer:
option A -3r^6 s^14
Step-by-step explanation:
(-3r^4 s^7/r)^2
(-3r^3 s^7)^2
-3r^6 s^14
-TheUnknownScientist