Answer:
The derivative of function [tex]f(x)=5\sqrt{x}[/tex] is [tex]\frac{5}{2\sqrt{x} }[/tex]
Step-by-step explanation:
We need to find derivative of the given function [tex]f(x)=5\sqrt{x}[/tex]
Finding the derivative:
[tex]\frac{d}{dx}(5\sqrt{x} )[/tex]
Using the rule (a.f)' = a(f)', taking out constant value 5
[tex]=5\frac{d}{dx}(\sqrt{x} )[/tex]
We know [tex]\sqrt{x} =x^{\frac{1}{2}[/tex] Replacing [tex]\sqrt{x}[/tex]
[tex]=5\frac{d}{dx}(x^{\frac{1}{2}} )[/tex]
Applying derivative rule: [tex]\frac{d}{dx}(x^a)= a.x^{a-1}[/tex]
[tex]=5\times\frac{1}{2}(x^{\frac{1}{2}-1} )\\=\frac{5}{2}(x^{-\frac{1}{2}} )\\=\frac{5}{2x^{\frac{1}{2}}}\\=\frac{5}{2\sqrt{x} }[/tex]
So, the derivative of function [tex]f(x)=5\sqrt{x}[/tex] is [tex]\frac{5}{2\sqrt{x} }[/tex]
What is the maximum number of cubes with side lengths of 1/2 cm that can fit into a right rectangular prism with base dimensions of 12 1/2 cm by 8 1/2 cm and height of 9 1/2 cm?
Answer:
2,018
Step-by-step explanation:
The price of a shoes was reduced from $60 to $45. by what percentage was the priceof the shoes reduced? 60-45÷ 60 a 15% b 25% c 75% d 40%
Answer: C
75% of 60 is 45 lol
The correct answer would be C, 75%. You're Welcome! I work really hard and I would like it if you gave me brainiest! Have a great day.
2. Which of these sets of measurements represents the lengths of the sides of a right triangle?
a. (10, 24, 26)
b. (5, 12, 24)
C. (12, 18, 30)
d. (1, 2,9)
The answer is B because it has to have a right angle in it
Danielle created a painting using only similar hexagons.
Which statement about the hexagons must be true?
The hexagons are all the same size and shape.
The hexagons have corresponding sides that are proportional.
The hexagons have corresponding angles that are not congruent.
The hexagons are different shapes but the same size.
Answer: B- The hexagons have corresponding sides that are proportional.
The statement is true about hexagons, if Danielle created a painting using only similar hexagons, The hexagons have corresponding sides that are proportional, so option B is correct.
What is a hexagon?A hexagon is a two-dimensional geometric shape with six sides that may or may not have the same length. The hexagon shape can be seen in everyday objects like floor tiles, pencil cross-sections, clocks, honeycombs, etc.
Given:
Danielle created a painting using only similar hexagons,
A closed, two-dimensional shape with six equal sides and six equal angles is referred to as a regular hexagon. The regular hexagon has 120-degree angles on each side. And 120 x 6 = 720 degrees is the total of all inner angles.
Both have 6 vertices, 6 internal angles, and 6 sides, All six inner angles add up to 720 degrees, All six outer angles added together result in 360 degrees. These two hexagons are comparable because they have matching sides in the same ratio and matching angles that are both equal.
Thus, hexagon hexagons have corresponding sides that are proportional.
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given the endpoint (-9,3) and (1,8) partition the segment into the ratio 2:3
Answer:
[tex]P = (-5,5)[/tex]
Step-by-step explanation:
Let the segments be A and B
[tex]A = (-9,3)[/tex]
[tex]B = (1,8)[/tex]
[tex]m:n = 2:3[/tex]
Required
Determine the endpoints after it is divided into ratios.
Let the point be represented with P
The formula to use is:
[tex]P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
Where
[tex]A = (-9,3)[/tex] ----- [tex](x_1,y_1)[/tex]
[tex]B = (1,8)[/tex] ------ [tex](x_2,y_2)[/tex]
So:
[tex]P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
[tex]P = (\frac{2 * 1 + 3 * -9}{2 + 3},\frac{2 * 8 + 3 * 3}{2 + 3})[/tex]
[tex]P = (\frac{-25}{5},\frac{25}{5})[/tex]
[tex]P = (-5,5)[/tex]
Find the exact solution to the equation. Just type in the final solution, do NOT include x=
250(1/5)^x/2=2
resolver
4×3
____
7+5
Answer:
THEY ARE EQUAL =
Step-by-step explanation:
The SS attached. Just need the slope :)
Answer:
1/2
Step-by-step explanation:
Rise = 1
Run = 2
~theLocoCoco
The perimeter of a rectangle is 138
meters and the area is 1080 square
meters. Find the length and the width of
the rectangle.
An amount of $38,000 is borrowed for 10 years at 7.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
$76,516.77
Step-by-step explanation:
Use the compound interest formula. A = P(1 + r/n)^t. Subsitute the values in and solve.
Answer:
$76517Step-by-step explanation:
Given
Amount = $38000Interest rate = 7.25% Time = 10 yearsCompound = 1 per yearTotal:
38000*(1 + 0.0725)^10 = 76516.76 ≈ $76517 rounded to the nearest dollarSolve: 2y - 3.1 when y = 3.41
Answer:
3.72
Step-by-step explanation
2x3.42=6.82
6.82-3.1=3.72
Answer:
First, substitute y by the value
2(3.41)-3.1
Multiply the bracket by 2
It will be 0.58651026393, so you’ll round it up to make it shorter to make it easy for calculation
0.59-3.1=-2.51
-2.51 is the answer to your question
Step-by-step explanation:
I hope this helped, please give me brainliest
Evaluate:|-12| - |4|- |-8|?
Answer:
when you evaluate a number if it is positive do nothing if it is negative switch it to a positiive sooo 12 4 and 8 :)
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
find the absloute value and then subtract
Please please help me
Answer: it would be g because if you distribute 9, you end up with x+72 and the bottom one is 9•8 (also 72)+x
slope intercept form parallel to y = -x + 3 and through (0,6)
Answer:
Step-by-step explanation:
parallel means the slope is the same
y = -x + b
since it has to pass thru (0,6) we’ll plug those in to the equation to find b
6 = -(0) + b
6 = b
the final equations is y = -x + 6
what is 4(5+3) pls what is it
Answer:
is 32
hope that helps!
Name: Joe
Wednesday
Sandra is traveling 20 mph on her bicycle. After 4 hours, how far will she have traveled?
Answer:
is 300 an answer? If not let me know then I'll correct it.
Step-by-step explanation:
Determine the slope and the y-intercept of the table.
Step-by-step explanation:
x 3 6 9
y -1 -2 -3
Change in x = + 3
Change in y = -1
slope is -1/3
y-intercept = I think there is none (it goes through the origin) but I don't have graph paper on hand so not quite sure on that. Anyway, hope this helped!
What is the decimal equivalent of 9 1/2%
The decimal equivalent of 9 1/2% is 0.095.
We have,
To explain the process of finding the decimal equivalent of 9 1/2%, we need to understand what a percentage represents and how to convert it to a decimal.
A percentage is a way of expressing a part of a whole in terms of hundredths. In this case, 9 1/2% represents 9.5 parts out of 100.
To convert a percentage to a decimal, we divide the percentage value by 100. This is because a percentage is essentially a fraction with a denominator of 100.
Now,
To find the decimal equivalent of 9 1/2%, we divide the percentage value by 100.
9 1/2% can be expressed as a fraction: 9 1/2% = 9.5/100.
Dividing 9.5 by 100 gives us the decimal equivalent:
= 9.5 ÷ 100
= 0.095
Therefore,
The decimal equivalent of 9 1/2% is 0.095.
Learn more about expressions here:
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Parallelograms pre test on edg 2020
!ANSWERS !
1.c
2.c
3.a
4.b
5.c
6.c
7.d
8.d
9.d
10.c
You’re welcome ;)
which equation has the same solution as x - 12 = 40
A. x/2 = 14
B. x + 12 = 40
C. 12 - x = 40
D. x/4 = 13
Answer:
Answer: D. x/4 = 13
Step-by-step explanation:
Equations
Solve the following equation:
x - 12 = 40
Adding 12:
x = 52
Let's test each option to find which one of them has the same solution.
A. x/2 = 14
Multiplying by 2:
x = 28
B. x + 12 = 40
Subtracting 12:
x = 28
C. 12 - x = 40
Subtracting 12:
-x = 28
Multiplying by -1:
x = -28
D. x/4 = 13
Multiplying by 4:
x = 52
This last option is true.
Answer: D. x/4 = 13
what is (d^1 3^1 d^3)^2
Answer:
Simplify the solution: 13^1d^3
Step-by-step explanation:
Any expression raised to the power of one equal itself.
I don’t really understand
Answer:
42 tickets
Step-by-step explanation:
If you divide all the choices by 8 they all equal an even number except 42
it is not possible for them to use forty-two tickets because forty-two is not a multiple of eight. since there are eight people, and each ride cost one ticket per person, they should use eight tickets for each ride. forty, twenty-four, and sixteen are all multiples of eight, and are therefore possible answers.
What is the sale price to the nearest cent? $239 television; 10% discount
Answer:
The sale price will be: $215.10
Step-by-step explanation:
We know that:
Sale price = Regular price × (100% - Discount %)
= Regular price × (100% - 10%)
= 239 × 90%
= 239 × 0.9
= 215. 10 $
Therefore, the sale price will be: $215. 10
The height of mountain P is 1086 feet the height of Mt. Q is four times the height of Mt. P the area model shown below represents one way to find the height of Mt. Q what is the missing value for a, b and c
Answer:
ITS A I TOOK THE TEST
Step-by-step explanation:
Answer:
A=4000, B=80, C=24
Step-by-step explanation:
We have the fact that Mountain Q is 4 times the height of Mountain P. That's the "4" we have in the left side of our model. It's like having a multiplication table, next to the "4" we have "A" and upper this we have "1000", the only thing we have to do is Multiplify 4*1000=4000. The next letter we have is B and below it we have "320", we divided it by 4, 320/4=80. The last letter we have is C, and is below a "6", we only have to Multiplify it by 4, 6*4=24.
At the end we only sum our
A + 320 + c = 4344 (4 times the height of Mountain P).
1000 + B + 6 = 1086(the height of the Mountain P).
en una clase de 90 alumnos , 15 son nacidos en estados unidos . que porcentaje son nacidos en estados unidos?
Answer:
la respuesta será 77%
Step-by-step explanation:
será 77% porque si lo divides sale así 90/15% será 77%
The unshaded regions are quarter circles. Which choice best approximates the area of the shaded region? Use ≈3.14.
Answer:
123.6cm^2
Step-by-step explanation:
24^2=576
area of all four quarter circles combined: 144pi
576-122pi
The scale from a map to the actual distance is 2.5 cm to 620 mi. The distance on the map between Chicago and Boston is about 3.5 cm. What is the approximate distance, in miles, between Chicago and Boston? Show your work.
Answer 868 miles
Step by step
Given: The scale from a map to actual distance is 2.5 cm to 620 miles. If the distance on the map between Chicago and Boston is about 3.5 cm. Hence, the approximate distance between Chicago and Boston = 868 miles.
If the distance on the map between Chicago and Boston is about 3.5 cm.
Then, the actual distance between them = 3.5\times 248 \text{ miles}=868 \text{ miles}
Hence, the approximate distance between Chicago and Boston = 868 miles.
i.e. 1 cm on map = 620/2.5 miles = 248 miles
Answer:868 miles
Step-by-step explanation: 1cm=620/2.5 = 248
distance is about 3.5
3.5x 248=868
At the local harvest festival Marty bought 2 pumpkin pie slices and 2 cups of hot chocolate $10.00. Patty bought 4 slices of pie and 5 cups of hot chocolate for $22.50. How much is a slice of pumpkin pie and how much is a cup of hot chocolate?
Answer:
1 cup of hot chocolate is $2.5
1 slice of pumpkin pie is $2.5
Step-by-step explanation:
Represent Pumpkin Pie with P and Hot Chocolate with C:
Marty:
[tex]2P + 2H = 10[/tex]
Patty:
[tex]4P + 5H = 22.5[/tex]
So, we have the following set of equation:
[tex]2P + 2H = 10[/tex] -------- (1)
[tex]4P + 5H = 22.5[/tex] -------- (2)
Multiply the first equation by 2
[tex]2(2P + 2H = 10)[/tex]
[tex]4P + 4H = 20[/tex] -------- (3)
Subtract (3) from (2)
[tex]4P + 5H = 22.5[/tex]
[tex]4P + 4H = 20[/tex]
--------------------------
[tex]5H - 4H = 22.5 - 20[/tex]
[tex]H = 2.5[/tex]
Substitute 2.5 for H in [tex]2P + 2H = 10[/tex]
[tex]2P + 2 * 2.5 = 10[/tex]
[tex]2P + 5 = 10[/tex]
[tex]2P = 10 - 5[/tex]
[tex]2P = 5[/tex]
Divide through by 2
[tex]P = \frac{5}{2}[/tex]
[tex]P=2.5[/tex]
Hence, 1 cup of hot chocolate is $2.5 and 1 slice of pumpkin pie is $2.5
f(a) = a^4- 6a² - 10a - 4 at a=-2
Step-by-step explanation:
I'm sorry I don't know the answer i know your mad because I'm writing this
Please help answer 2 and 3 the best you possibly can
Answer:
2. x = 3
3. x = 5
Answer:
Below.
Step-by-step explanation:
(2). 6x + 51 + 111 = 180
6x = 180 - 162 = 18
x = 3.
(3). 6x = 30
x = 5.