Answer:
2^4 * 9^4
Step-by-step explanation:
(2*9)^4
We can take the power to each term inside the parentheses
2^4 * 9^4
Tina is saving to buy a notebook computer. She has two options. The first option is to put $400 away initially and save $10 every month. The second option is to put $300 away initially and save $30 every month. After how many months would Tina save the same amount using either option? How much would she save with either option?
Answer:
After 5 months, both options will have saved 450$
Step-by-step explanation:
The first option can be modeled with the expression
400 + 10x
The second option can be modeled with the expression
300 + 30x
The variable x represents the months so in order to find the month where Tina saves the same amount, we set the expressions equal to each other.
400 + 10x = 300 + 30x
solve for x
20x = 100
x = 5
After 5 months, Tina will save the same amount of money which is
400 + 10*5 = $450
Rohan and Sara have equal amounts invested in their respective portfolios. Both have invested in a popular international company. Their investments are listed in the table. Recent data shows a decrease in the international company’s share price. Which statement about this scenario is correct?
Rohan’s Investments company stocks, bonds, mutual funds, domestic stocks, and international stocks
Sara’s Investments international stocks
A.
Rohan’s portfolio will be affected the most because he has too many assets in his portfolio.
B.
Neither portfolio will be significantly affected because both have a good mix of assets.
C.
Sara’s portfolio will be affected more because it’s limited to international stocks.
D.
Both portfolios will be equally affected because both have an equal number of international stocks.
Answer:
C
Step-by-step explanation:
Sara only has international stocks in her portfolio
The correct statement about the scenario is; Sara’s portfolio will be affected more because it’s limited to international stocks.
How to Interpret Investment Schemes?We are told that;
Amount invested by Rohan and Sara are equal amounts.
They both have now invested in an international company that is popular. Also, recent data shows a decrease in the share price of the international company.
From their respective investments in the data table given as seen online, we can say that the correct statement is Option C.
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If f is the function defined by f(x) = 3x^5 - 5x^4, what are all the x coordinates of points of inflection for the graph of f?
a. -1
b. 0
c. 1
d. 0 and 1
e. -1, 0, and 1
Answer:
D: 0 and 1
Step-by-step explanation:
Function is defined by;
f(x) = 3x^(5) - 5x⁴
Now, an inflection point will be a point on the graph where the inflection or concavity changes.
Thus, let's find the derivatives until we get there;
f'(x) = 15x⁴ - 20x³
f''(x) = 60x³ - 60x²
So factorizing gives;
f''(x) = 60x²(x - 1)
At f''(x) = 0, we have; x = 0 or x = 1
Thus, the x coordinates of points of inflection are 0 & 1
PLEASE OPEN THE PHOTO AND ANSWER ILL GUVE BRAINLIEST (SORRY FOR SPELLINGing)
Answer:
Honestly im confused by this but i think its the second one
Step-by-step explanation:
Find the diameter of this circle.
A. [tex]2\sqrt{10}[/tex]
B. [tex]4\sqrt{10}[/tex]
C. 8
D. [tex]2\sqrt{34}[/tex]
Answer:
A
Step-by-step explanation:
From looking at the graph, you can see that the center point of the circle is at (5, -3), so to figure out the diameter, you need to find the distance of that line ( y = - 3 ) that the circle is on. The diameter is about 6 point something which in the square root form can be represented by √36.
After knowing the diameter is about 6, choice C can be eliminated.
2√10 = √40
4√10 = √160
2√34 = √136
After expanding the square root, we can know that the closest option is A.
Check the picture below.
so we know the circle has that center and passes through (2 , -2), let's find its radius, keeping in mind that diameter = 2 * radius.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(~~5 - 2~~)^2 + (~~-3 - (-2)~~)^2} \implies r=\sqrt{(5 -2)^2 + (-3 +2)^2} \\\\\\ r=\sqrt{( 3 )^2 + ( -1 )^2} \implies r=\sqrt{ 9 + 1 } \implies r=\sqrt{ 10 }~\hfill \underset{diameter}{\stackrel{(2)(r)}{2\sqrt{10}}}[/tex]
4 of 5
A student performed the following construction for the angle bisector of ZDAE. is the student's construction correct?
Yes. The student's construction is correct because circle A and circle D are the same size.
O No. The student's construction is not correct because circle D and circle E are not the same size.
Yes. The student's construction is correct because EH = DH
O No. The student's construction is not correct because AHDH.
The correct option is b). No. The student's construction is not correct because circle D and circle E are not the same size.
What is meant by angle bisector?An angle bisector is a ray, segment, or line which divides a provided angle into two equal-sized angles. The term bisector or bisection refers to the process of dividing something into two equal parts.
In geometry, the angle bisector is the ray, line, or segment that divides a provided angle into two equal parts. An angle bisector, for example, will divide a 60-degree angle into two 30-degree angles. In other words, it separates an angle into two congruent smaller angles.Now, as per the given question;
If line AH is the angle bisector of angle DAE, circle D as well as circle E should be the same size to ensure triangle ΔHDA ≅ Δ HEA, from which ∠ DAH= ∠EAH is deduced. Angle bisector properties
Thus, the student's construction again for angle bisector of DAE is incorrect because circle D or even circle E aren't the same size.
To know more about angle bisector, here
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5xf(1)+5xg(9)
solve this please evaluate functions expressions
Answer:
Solution is the 5fx+45gx
The research question is: Do the data provide evidence that the treatments affect the mean LDL level in this population
Answer:
hello your question is incomplete attached below is the complete question
answer : The population mean LDL level after six months is same for all four treatments
Step-by-step explanation:
A null hypothesis represents a no difference in the question. therefore the correct option is The population mean LDL level after six months is same for all four treatments
The Measurements of Two Sides of a Triangle are 14 Inches and 18 Inches. Which two Lengths could be the measurements of the third side of the triangle?
3 inches
4 inches
5 inches
31 inches
32 inches
Answer:
d
Step-by-step explanation:
. A right cylindrical drum is to hold 7.35 cubic feet of liquid. Find the dimensions (radius of the base and height) of the drum which would minimize the surface area. What is the minimum surface area
Answer:
[tex]r=1.05\ \text{ft}[/tex]
[tex]h=2.12\ \text{ft}[/tex]
[tex]20.91\ \text{ft}^3[/tex]
Step-by-step explanation:
r = Radius
h = Height
Volume of cylinder = [tex]7.35\ \text{ft}^3[/tex]
[tex]V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{7.35}{\pi r^2}[/tex]
Surface area is given by
[tex]A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r^2+2\pi r\dfrac{7.35}{\pi r^2}\\\Rightarrow A=2\pi r^2+\dfrac{14.7}{r}[/tex]
Differentiating with respect to radius we get
[tex]\dfrac{dA}{dr}=4\pi r-\dfrac{14.7}{r^2}[/tex]
Equating with zero we get
[tex]0=4\pi r-\dfrac{14.7}{r^2}\\\Rightarrow 4\pi r=\dfrac{14.7}{r^2}\\\Rightarrow r^3=\dfrac{14.7}{4\pi}\\\Rightarrow r=(\dfrac{14.7}{4\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.05[/tex]
[tex]\dfrac{d^2A}{dr^2}=4\pi-2\times \dfrac{14.7}{r^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=4\pi+2\times \dfrac{14.7}{1.05^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=37.96>0[/tex]
So, the value of the function is minimum at [tex]r=1.05[/tex]
[tex]h=\dfrac{7.35}{\pi r^2}=\dfrac{7.35}{\pi 1.05^2}\\\Rightarrow h=2.12[/tex]
So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.
Surface area
[tex]A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi \times 1.05^2+2\pi 1.05\times 2.12\\\Rightarrow A=20.91\ \text{ft}^3[/tex]
The minimum surface area is [tex]20.91\ \text{ft}^3[/tex].
What is the INPUT when the OUTPUT is 12?
Answer:
I think the answer is 4
The basketball team took 20 free throws in the game and made 65% of them how many free throws did they make?
Answer:
its 13
Step-by-step explanation:
yea so like anyone know this
Answer:
=13p+7
Step-by-step explanation:
Let's simplify step-by-step.
5p+11+8p−4
=5p+11+8p+−4
Combine Like Terms:
=5p+11+8p+−4
=(5p+8p)+(11+−4)
=13p+7
Answer:
D
Step-by-step explanation:
if i am not mistaken you would add the common multiples with each other which would be 5p+8p and 11+(-4) which would equal 13p+7. I'm sorry if I'm incorrect
I need a legit answer with just a little explanation please it would mean alot to me
Answer: C.
Step-by-step explanation: Plug in x in the formula. Solve for each y by plugging in each x in the formula and seeing if it works. This took me like 3 min to solve
Using a calculator, find the decimal equivalent for the fraction 416888.
Answer:
0.46846846846
Step-by-step explanation:
if fraction was 416/888 thats the answer....
A bean plant grows at a constant rate for a month. After 10 days, the plant is 35 centimeters tall. After 20 days, the plant is 55 centimeters tall. Which equation models the height of the plant, y, after x days?
Answer: Good afternoon fellow student, to answer your question
y - 35 = 2(x - 10)
Step-by-step explanation:
Let
y-----> the height of the plant
x ----> the number of days
Find the slope
we have the points
(10,35)
The slope is equal to
m= (55-35)/(20-10)
m= 2
Find the equation of the line into point slope form
y- y1 = m(x - x1)
we have
m= 2 and point (10,35)
y - 35 = 2(x - 10)
I’ll give brain plesse helppppp
Answer:
Step-by-step explanation: First, you isolate x, meaning only x can be on one side. you subtract 3 from both sides, getting x<4- x is less than four.
there are two graphs showing x less than four, but since this is less than and not less than/equal to, your answer is the fourth graph, where the point is open and not closed.
Answer:
Last choice,
open circle on 4 arrow going left.
Step-by-step explanation:
X + 3 < 7
x < 4
Explain how the vertical line test was robes that a relation is not a function.
7 divided by 783 ttsggsgsgsvs
Answer: 0.008939
If you meant to put the opposite, your answer is 111.8571.
Solve using elimination.
- 9x + 2y = 5
-9x + y = -2
Answer:
(1 , 7)
Step-by-step explanation:
Examine the graph.
Select each interval where the graph is decreasing.
a.−4b. 3c.2d.−1
if the probability that it will rain tomorrow is 1/6 what is the probability that it will not rain tomorrow
Answer:
.4
Step-by-step explanation: Subtract 0.6 from 1.
1-0.6=0.4
There is a 0.4 chance that it will not rain tomorrow.
Step-by-step explanation: Im sorry if this isn't right
Suppose you have 9 tubes of paint. How many distinct color groupings can you make with your paint?
9514 1404 393
Answer:
511
Step-by-step explanation:
Each tube can be included in the mix, or not. There are 2^9 = 512 possible subsets of a set of 9 objects, including the complete set and the empty set. The empty set will not make a color, so there are ...
2^9 - 1 = 511 distinct color groupings that can be made
__
The assumption in the above answer is that no tube color can be made by any combination of other tube colors.* We also assume that the choice of tubes is what makes a "color grouping", and that the colors within that grouping made by using different ratios of paint quantities are not counted separately.
Solve for the value of y.
(4y+7)
(3y+5)
Answer: The value of y is 24.
Step-by-step explanation:
complete each function table. Then state the Domain and range of the function.
Answer:
Last option (c) on the list of answers
Step-by-step explanation:
f(x) = { -10, -9, -2, 3}
Domain = {-3, -2, 5, 10}
Range = {-10, -9, -2, 3}
Write the following integers in order from least to greatest.
24
-7
0
13
-21
Answer:
-7, -21, 0, 13, 24
Step-by-step explanation:
Solve the given equation: 10|2x-4|=40
Please answer step by step
Answer:
step by step you said answer step by step that's your answer
Step-by-step explanation:
step by step you said answer step by step that's your answer
The population in the trapezoid-shaped region shown is about 7000 people. How many people are there per square mile?
Answer:
250
Step-by-step explanation:
14 x 4 = 56
56 divided by 2 = 28
7000 divided by 28 = 250HELLPPPPPUIPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
6
Step-by-step explanation:
6 dont put that down
Guess my favorite color and I'll give you a brainly if your right
Step-by-step explanation
Orange
I tried
Answer:
White.
Tan.
Yellow.
Orange.
Red.
Pink.
Purple.
Blue.
Black.
Silver.
Gold.
Rainbow.