Answer:
[tex]f(x) = \frac{4}{3} (x - 2) ^{2} + 7[/tex]
Step-by-step explanation:
the answer is :- .
[tex]f(x) = \frac{4}{3} (x - 2) ^{2} + 7[/tex]
Answer:
y=-4(x+2)^2+7
Step-by-step explanation:
Question 13
5 pts
Joe has a rectangular prism made of aluminum and a rectangular prism made
of lead.
• Each rectangular prism has a height of 6 cm, length of 9 cm, and width of 3
cm.
• The density of aluminum is approximately 2.70
grams
• The density of lead is approximately 11.3
cm3
What is the difference, to the nearest gram, of the masses of the rectangular
prisms?
grams cm3
difference in masses = _(blank) grams
Type your numerical answer (without units) below.
The difference, to the nearest gram, of the masses of the rectangular
prisms is 1393.2 grams.
What is the volume of the rectangular prism?The volume of the rectangular prism is the product of the length, breadth, and height of the given prism.
Volume of rectangular prism = (length x width x height)
Joe has a rectangular prism made of aluminum and a rectangular prism made of lead.
Each rectangular prism has a height of 6 cm, length of 9 cm, and width of 3 cm.
The volume of a rectangular prism made of aluminum = (length x width x height)
= [tex]6 \times 9\times 3\\\\162[/tex]
The volume of a rectangular prism made of lead= (length x width x height)
= 162 cubic cm
We know that mass = density x volume
The density of aluminum is approximately 2.70.
mass = 2.70 x 162
= 437.4 grams
The density of lead is approximately 11.3 cm3
mass = 11.3 x 162
= 1830.6 grams
The difference, to the nearest gram, of the masses of the rectangular
prisms 1830.6 - 437.4 = 1393.2 grams
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HELP ME RN PLEASE
We-Haul rents a moving truck for $20.00 and $0.45 per mile. You-Haul rents the same size moving truck for $1.00 per mile but with no upfront charge.
Let c represent the overall cost for renting the moving truck.
Let m represent the miles traveled.
Which of the following statements are true about this situation? Select all that apply.
a
The following equations could be used to represent the situation: c = 0.45m + 20 c = 1.00m
b
The y-intercepts of each line represent the upfront charge to rent the moving truck.
c
At 38 miles, We-Haul would be a better deal.
d
The two truck rentals will cost the same around mile 35.36
e
The rate of change for You-Haul is larger than the rate of change for We-Haul
Answer:
*select all that apply*
All of these are true
Step-by-step explanation:
Answer choice A:
We-Haul: c = 0.45m + 20
You-Haul: c = 1m
--> TRUE
Answer Choice B:
the y-intercept is the upfront charge bc the charge for "per mile" is attached to "mx" and the "b" (y-intercept) is the upfront charge
--> TRUE
Answer choice C:
We-Haul -
c = 0.45(38) + 20 = $37.10
You-Haul -
c = 1m = $38.00
--> TRUE
answer choice D:
We-Haul -
c = 0.45(35.36) + 20 = $35.91
You-Haul -
c = 1m = $35.36
Since the two costs are very close to being the same, I think this is a true statement also
--> TRUE
Answer choice E:
You-Haul's rate is 1 mph whereas We-Haul's rate is 0.45mph. You-Haul's rate is 0.55 larger than We-Haul's
--> TRUE
Hope this helps :)
Helpppppppppp please
Answer:
Letting f represent the value of the flower and b represent the value of the butterfly, we have f = 20 and b = -53.
Step-by-step explanation:
7f + 2b = 34 ------> 7f + 2b = 34
3f + b = 7-----------> 6f + 2b = 14
-----------------
f = 20, b = -53
13-18 Express the quantity as a single logarithm.
18. [tex]\ln b+2 \ln c-3 \ln d[/tex]
Which is more, 5,999 pounds or 3 tons?
Answer:
3 tons
Step-by-step explanation:
1 ton = 2000 pounds
3 x 2000= 6,000 pounds
6000 > 5999
Simplify 2x-(-3x+9). 5x-9 –x-9 x+9
Answer:
5x - 9
Step-by-step explanation:
2x -(-3x + 9)
2x + 3x - 9) DISTRIBUTE -1
5x - 9 COMBINE LIKE TERMS
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/20 for black, 1/15 for pink, 1/10 for white, and 1/5 for red. What is the probability of pulling a black or white card, written as a reduced fraction?
Answer:
3/20
Step-by-step explanation:
OR means +1/20 + 1/101/20 + 2/203/20If f(x)=x²-5x-6, find the input values that make the function 0.
Answer:
6 and -1
Step-by-step explanation:
If you take the equation and set it to be 0, you can find the input values that make it 0.
[tex]x^2-5x-6=0[/tex]
Since this is a quadratic, equation you can use the quadratic formula with the values:
a = 1b = -5c = -6The quadratic formula is:
[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]
If you plug the values for a, b, and c, you get:
x = 6 and x = -1
Simplify (-18²)³.
O 18-6
O -185
1
186
O -186
Answer:
-18^6
Step-by-step explanation:
(-18^2)^3 = -18^(2*3) = -18^6
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
42.5 ft squared
Step-by-step explanation:
hope this helped brah
Find the growth or decay percentage y= 18(0.914)m
The function y = 18(0.914)^m is having exponential decay. The decay percent of this function is 8.6%
What is exponential growth or decay function?Consider the function:
[tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is plus sign, then there is exponential growth happening by r fraction or 100r %
If there is negative sign, then there is exponential decay happening by r fraction or 100r %
For this case, the exponential growth/decay function given is:
[tex]y = 18(0.914)^m[/tex]
That means, there is multiplication of (0.914) for each growth/decay.
We can rewrite 0.914 as:
0.914 = 1 - 0.086
This shows decay as multiplication with 0 < quantity < 1 makes the number less in magnitude.
A quantity times (1 - 0.086) = that quantity - that quantity times 0.086
and we can write 0.086 = 8.6/100 = 8.6%
Thus, we're decreasing 8.6% each time from a quantity when we multiply that quantity with (1-0.086)
Thus, there is exponential(exponential because of the presence of variable 'm' as exponent in the given function) decay of 8.6%.
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a camp having a Ti inmates having food sufficient for 70 days. How many inmates have to leave after 10 days so that the food lasts for another 80 days?
Answer:
20 inmates should leave
Step-by-step explanation:
A camp having 80 inmates, has food sufficient for 70 days.
total=80*70
How many inmates should leave after 10 days so that the
remaining food lasts another 80 days?
the food served for 10 days to 80 inmates
10*80
let x be inmates leave after 10 days food last for 80 days
(80-x)*80
Total=food served for 10 days+x inmates left after 10 days
80*70=10*80+(80-x)*80
70=10+80-x
x=90-70
x=20
Pls help me I am confused on what to do to solve it
pls help me plss i beg
Answer:
A
Step-by-step explanation:
Just under means smaller than since < means smaller than. And the smaller than or equal sign doesn't make since because the price was just under.
Part D
What is the median number of words in Darcy's essays?
Answer:
210.8 (mean for Luis), 241.5 (mean for Darcy)
Step-by-step explanation:
Luis 178 + 213 + 198 + 245 + 236 + 198 + 221 + 253 + 189 + 177 = 2108
2108/10 = 210.8 (mean for Luis)
Darcy 231 + 210 + 245 + 259 + 286 + 245 + 231 + 244 + 236 + 228 = 2415
2415/10 = 241.5 (mean for Darcy)
Answer:
To find the median number of words in Darcy’s essays, first arrange the values in the data set in ascending order:
210, 228, 231, 231, 236, 244, 245, 245, 259, 286.
Because the number of values in the data set is an even number (10), the median is the mean of the two middle values, the fifth and sixth values, in the data set. The fifth and sixth values are 236 and 244, respectively. So,
median
.
The median number of words in Darcy's essays is 240.
Step-by-step explanation:
Can someone explain question number 8
-10 -9 -8 7 Slope of the Line: Click twice to plot each segment. Click a segment to delete it. y -6 5 3 2 -1 10 9 8 7 6 5 J 2 -8 -10 Submit Answer 3 4 5 16 7 8 O 10
Answer:
1/2
Step-by-step explanation:
The slope of a line is the ratio of "rise" to "run".
__
This line goes through grid intersections at (0, -7) and (2, -6), a rise of 1 unit for a run of 2 units to the right. The slope is ...
slope = rise/run = 1/2
20 characters just for brainly it’s all urs
Answer:
1 mm Hg per year
Explanation:
Here equation : y = x + 95
Comparing with slope intercept formula: y = mx + b
where m is slope and b is y-intercept
We can identify that this equation slope: 1 and y-intercept: 95Slope determines the increase per year.
Equation given
y=x+95Comapre to slope intercept form y=mx+b
Slope=1Y intercept=b=95Rate of change=Slope=1mm HG /year
Option AKellie has built her savings account to $7,800. She is transferring it to an account that earns 5.5% interest, compounded monthly. What will the balance of the account be in 16 years?
Answer:
Kellie has built her savings account to $7,800. She is transferring it to an account that earns 5.5% interest, compounded monthly. What will the balance of the account be in 16 years?
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
the answer is (3,4)
Step-by-step explanation:
because if you check wich quadrant it is in and you check the number you can see which one it is. x,y that is how it goes so 3,4 should be correct if you line them up.
if x = 10 y = 9 work out x(x+2y)
Answer:
your answer is 280
Step-by-step explanation:
Because you already know what X and Y are all you will have to do is plug them in
10 (10 + 2(9))
2*9= 18
10 (10 + 18)
10+18= 28
10(28)
280
factored form of x² - 2xy – 24y^2
Which of the following could be the lengths of the sides for a triangle that is
similar to the one shown?
12
16
24
O A. 16, 18, and 48
OB. 12, 24, and 48
OC. 4, 6, and 14
D. 6, 8, and 12
Answer:
D
Step-by-step explanation:
The scale factor would be x1/2
12÷2=6 16÷2=8 24÷2=12
Answer:
D. don't know how? but the answer is in no.D
Step-by-step explanation:
divided 2
evaluate this function f(x)= 1/3 • 6x at x=2
Answer:Im pretty sure the slope is 2.
Step-by-step explanation:
Find the arc length of the partial circle.
Either enter an exact answer in terms of \piπpi or use 3.14 π and enter your answer as a decimal.
Answer:
arc = 7.5π units
Step-by-step explanation:
the arc length is calculated as
arc = circumference of circle × fraction of circle
the angle subtended at the centre by the arc is 360° - 90° = 270° , then
arc = 2π × 5 × [tex]\frac{270}{360}[/tex]
= 10π × [tex]\frac{3}{4}[/tex]
= [tex]\frac{30\pi }{4}[/tex]
= 7.5π
Solve 169x2 − 16 = 0 by using square roots.
A. ±13/4
B. ±169/16
C. No solution
D. ±4/13
Answer:
Option D, [tex]x =[/tex] ± [tex]4/13[/tex]
Step-by-step explanation:
Step 1: Add 16 to both sides
[tex]169x^2 - 16 = 0[/tex]
[tex]169x^2 - 16 + 16= 0 + 16[/tex]
[tex]169x^2 = 16[/tex]
Step 2: Divide 169 from both sides
[tex]\frac{169x^2}{169} = \frac{16}{169}[/tex]
[tex]x^2 = 0.09467[/tex]
Step 3: Square root both sides
[tex]\sqrt{x^2} = \sqrt{0.09467}[/tex]
[tex]x =[/tex] ± [tex]0.30769[/tex]
[tex]x =[/tex] ± [tex]4/13[/tex]
Answer: Option D, [tex]x =[/tex] ± [tex]4/13[/tex]
a – 16 = 24 simple equation
Answer:
40
Step-by-step explanation:
16+24=40
40-16=24
Answer:
a = 40
Step-by-step explanation:
Add 16 on both sides
a - 16 + 16 = 24 + 16
a = 24 +16 = 40
a = 40
Verification
LHS = a - 16 a = 40
40 - 16 = 24
RHS = 24
Both LHS and RHS are same so, our answer is correct.
I’m Literally soo confused
3y - 4
hope it helps...!!!
What is the total area of the figure? (square inches)
Answer:
60
Step-by-step explanation:
TOTAL SURFACE AREA = AREA OF SQUARE+2×(AREA OF TRIANGLE)
=(6×6)+2×(1/2×6×4)
=36+24=60 square inches
I hope it helped you
Answer:
The area of the full figure is 60 square inches.
Step-by-step explanation:
There are 4 triangles and one square in this figure. We can start by figuring out the area of the middle square, which would be [tex]6*6=36[/tex] because we know the sides are all 6 inches.
Next, we can look at the triangles and see that their hypotenuses (the longest sides) are all the same length, that being 5 inches. This means that we only need to find the length of the third side and then multiply the area of one triangle by 4 to get the area of all the triangles.
The pythagorean theorem states that in any right triangle, [tex]a^2 +b^2=c^2[/tex], with [tex]c^2[/tex] being the length of the hypotenuse. Since we know the length of the hypotenuse is 5 and one of the legs of the triangle is 4, we can insert this into the equation: [tex]a^2+4^2=5^2[/tex], which when simplified all the way gives us that [tex]a=3[/tex].
Since a right triangle is half of a rectangle, the easiest way to find the area of the triangle is to multiply the measures of the two legs together and then divide by two: [tex](3*4)/2=6[/tex]. Therefore, we know that each triangle in the picture has an area of 6.
Finally, you need to add all of the areas together to find the area of the full figure: [tex]36+6+6+6+6=60 in^2[/tex]
The area of the full figure is 60 square inches.
Hope this helps! :)
The grade distribution for students in the introductory
statistics class at a local community college are
displayed in the table. In this table, A = 4, B = 3, etc. Let
X represent the grade for a randomly selected student.
Which of the following correctly represents the
probability that a randomly selected student has a
grade higher than a C?
Grade
4
3
2
1
0
P(X<2)
O P(
X2)
P(X> 2)
OP(
X2)
Probability 0.43
0.31
0.17
0.05 0.04
Using the given discrete probability distribution, it is found that the probability that a randomly selected student has a grade higher than a C is given by:
P(X > 2).
What is the discrete probability distribution for the grade?From the table, it is given by:
P(X = F) = P(X = 0) = 0.04.P(X = D) = P(X = 1) = 0.05.P(X = C) = P(X = 2) = 0.17.P(X = B) = P(X = 3) = 0.31.P(X = A) = P(X = 4) = 0.43.Grades A and B are greater than C, hence the probability of getting a grade higher than C is given by:
P(X > C) = P(X = A) + P(X = B) = P(X = 3) + P(X = 4) = P(X > 2).
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