Answer: Volume: 65.4 Weight: 46.4
Step-by-step explanation:
Density describes mass per unit volume. The weight of each of the considered chocolate truffle is 46.47 grams approx.
What is density?Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.
Density = (Total amount available)/(total space which contains that amount)
We're given that:
The chocolate weighs 0.71 grams per cubic centimeter. This is density of the considered chocolate, as it is telling that 0.71 grams of chocolate is available per cubic cm.The chocolate truffles are in shape of sphere with radius 2.5 cmVolume of each chocolate truffle = volume of sphere with radius 2.5 cm
= [tex]\dfrac{4}{3} \pi (2.5)^3 \approx 65.45 \: \rm cm^3[/tex]
One cubic cm has 0.71 grams weight,
so one truffle, which has 65.45 cubic cm of chocolate, will weigh approx[tex]0.71 \times 65.45 \approx 46.47 \: \rm g[/tex]
Thus, the weight of each of the considered chocolate truffle is 46.47 grams approx.
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3/8x5/7=? please help
thank you
Answer:
15/56
Step-by-step explanation:
multiply the top fractions by making the equation the following
3x5
-------
8x7
_________________________
3x5 =15
8x7= 56
hope this helps :)
The solution to the product of fractions is 13/56
How to evaluate the product of fractionsFrom the question, we have the following parameters that can be used in our computation:
3/8 * 5/7
Evaluate the product of 3 and 5
So, we have
3/8 * 5/7 = 13/8 * 1/7
Evaluate the product of 8 and 7
So, we have
3/8 * 5/7 = 13/56
Hence, the solution is 13/56
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Evaluate the given algebraic expression for x = 7 and y = 3.
Answer: = 2(7 + 3) ^2= 2 * 10^2= 200
The number of goldfish in a tank is 12, and the volume of the tank is 45 cubic feet. What is the density of the tank?
Answer: 0.27
Population density of the species in water:
Population density of a species in the water is given by the expression,
Density =Given in the question,
Number of goldfish in the tank = 12
Volume of the tank = 45 cubic feet
Substitute these values in the expression,
Density =
= 0.267
≈ 0.27 goldfish per cubic feet
Therefore, density of the tank will be 0.27 goldfish per cubic feet.
PLEASE HELP!! 100 POINTS
Consider this dilation.
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b)What is the scale factor? Explain and show your work.
The red figure is the original and the green the dilation. We know this because the dilated points are marked with '.
Therefore, we can see that the dilation is a reduction of the original figure. The figure got smaller in size after the dilation.
To find the scale factor, we'll need to look at a few of the points before and after the dilation.
A = (-4, 4)
A' = (-2, 2)
C = (0, 4)
C' = (0, 2)
---The scale factor will be the same on all the points, which is why I have selected only 2 sets of points to look at.
Now, we can figure out the scale factor by thinking about how -4 got to -2, how 4 got to 2. In this case, it is simply dividing by 2. The scale factor must be in multiplication, so we cannot use division in reporting the scale factor, it must be a fraction.
2 / 4 = 1 / 2
The scale factor, therefore, is 1/2.
Hope this helps!
Answer:
a) A reduction.
b) 0.5 or 1/2
Step-by-step explanation:
a) The new points are indicated by the ' next to the letters. By observing the graph, we can see that new points have lessened, and therefore shrank the dialtion, so it is a reduction.
b) On each point, it is reducted by 0.5.
Point A went down from 4 to 2, which is half of 4.
Point B went down from -2 to -1, which is half of -2.
Point C went down from 4 to 2, which is half of 4.
Point D went down from 8 to 4, which is half of 8.
hope this helps!
please help I am confused
Answer: -5
Step-by-step explanation:
Opposite sides of a parallelogram are parallel, and thus have equivalent slopes.
Please help I don't get this
Answer:
5(t+6). I think this may helps you
MIGHT GIVE BRAINLIEST.
Calculator What is the surface area of the square pyramid?
Answer:
I need to know the dimensions to solve
If f(x)=2^x is translated 3 units up and 4 units to the left what is the equation for the transformed graph?
Answer:
Step-by-step explanation:
[tex]f(x) = 2^{x}[/tex]
translate 3 units up will change the y coordinate so will add 3 to y or f(x)
[tex]f(x) = 2^{x} +3[/tex]
translate 4 units to the left will change the x coordinates so will add 4 to the x to move towards left
[tex]f(x) = 2^{x+4} +3[/tex]
Will give brainliest <333
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 8 kg weighs 80 N. Calculate the mass of another object that weighs 100 N.
This isn't my work, though it's the answer to your question.
Answer:
The weight of an object when the mass is 10 kg will be 30 N.
Step-by-step explanation:
8/10 = 24/x
Cross multiply
8x = 24 × 10
8x = 240
x = 240/8
x = 30
Answer:
I’m just answering for him to get brainliest :)
Step-by-step explanation:
Find the perimeter of the shape shown below.
perimeter = turn of the figure
P = 6 + 3 + 4 + 4 + 3 + 6 + 3 + 4 + 3 = 36
the triangle has 2 équal sides => isosceles
and 1 angle is 60° so the triangle is equilateral
I need help with this problem in math I don’t know how to find the y but I know how to get the slope can someone teach me
Answer:
Use the equation y=mx+b
Step-by-step explanation:
So you know how to get the slop, which is awesome
Now to get y all you have to do is use the equation:
y=mx+b
m being slop
b being y- intercept in this case being 2
so you have y=-2x+2
all you have to do is insert different x values and solve the equation for y and see if they match up together in any of the tables
Evaluate the expression for m = -3.
-4|5 + m|
Type the correct answer in the box. Use numerals instead of words.
Answer:
The answer is -8
-4 l5 +(-3)l
-4 (2) = -8
Answer: Correct answer is -8
Step-by-step explanation:
Substitute the given value of m into the expression:
-4|5 + (-3)|.
Then evaluate using the order of operations:
-4|5 + (-3)|
= -4|2|
= -4(2)
= -8
Edmentum Answer
What is 170.6% of 366?
Answer:
624.396
Step-by-step explanation:
I did the math myself XD
What is the value of y?
y
60°
80°
Step-by-step explanation:
60° + 80° + y = 180° ( being straight angle )
140° + y = 180°
y = 180° - 140°
y = 40°
for what values of A does the acute angle formed by the lines 3x+2y=10 and Ax-2y=3 have measure of 45 degree
Answer:
Step-by-step explanation:
Find the quotient of 2. 5 × 10-3 and 7. 1 × 106. What can be concluded about the solution? Check all that apply. The E indicates that the solution is given in scientific notation. The coefficient is 3. 5211. The exponent is 10. The solution can be written in scientific notation as 3. 5211 × 10-10. The solution is 35,211,000,000.
Scientific notation is the way through which a very small or a very large number can be written in shorthand. The quotient of 2.5×10⁻³ by 7.1×10⁷ is 3.5211×10⁻¹¹.
What are Scientific notations?Scientific notation is the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5e+12.
We know we need to divide 2.5×10⁻³ by 7.1×10⁷. Therefore, if we divide the two numbers the solution will be,
[tex]\dfrac{2.5 \times 10^{-3}}{7.1 \times 10^7}\\\\ = \dfrac{2.5}{7.1} \times 10^{-3-7}\\\\= 0.35211 \times 10^{-10}\\\\= 3.5211 \times 10^{-11}[/tex]
Hence, the quotient of 2.5×10⁻³ by 7.1×10⁷ is 3.5211×10⁻¹¹.
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Answer:
A. The E indicates that the solution is given in scientific notation.
B. The coefficient is 3.5211.
D. The solution can be written in scientific notation as 3.5211 × 10^-10
Step-by-step explanation:
Edge 2023
A store is having a clearance special and every item is 10% off. What is the sale price of a $310 suit?
Answer:
$279
Step-by-step explanation:
10% off $310 is $31
310-31 is 279
Answer: the sale price of the suit is $279 or $31 dollars off
Step-by-step explanation:
$310 x 0.10= $31
$310 - $31= $279
Phillip is going to a college where tuition is $7,000 per year. He has a scholarship that pays 75% of tuition. He has a grant that pays $1,500 per year. How much will he need to borrow to pay tuition each year?
Please help me, this is do any day now. Tysm! Brainliest to best answer! Find m <1.
(Attachment of the Figure is Displayed Below)
O 57 degrees
O 63 degrees
O 117 degrees
O 123 degrees
Answer:
1 = 123 degrees
Step-by-step explanation:
A Triangle = 180 degrees
A flat line = 180 degrees
To solve this, we need to figure out the triangle first :)
60 + 63 + t = 180
123 + t = 180
180 - 123 = 57
Now that we know the triangle, we can figure out x :)
180 - 57 = 123
1 = 123
Have an amazing day!!
Please rate and mark brainliest!!
A school gym has an area of 4,641 square feet and a perimeter of 284 feet. What are the dimensions of the gym?
Answer:
dimensions are 51x91
Step-by-step explanation:
Assuming that the gym is rectangular in shape, then...
l*w=4641
and 2l+2w=284
We have two variables and two equations so to solve this we plug one equation into another.
Solve for one variable:
l*w=4641
w=4641/l
Plug into the other equation...
2l+2(4641/l)=284
Solve
l*(2l+9282/l)=284
2l^2+9282=284l
2l^2-284l+9282=0
Factor the trinomial:
2(l−51)(l−91)=0
l−51=0 or l−91=0(Set factors equal to 0)
l=51 or l=91
now, lets plug it into one of the equations to find w
51*w=4641
w=91, l=51
or...
91*w=4641
w=51, l=91
Answer:
91 ft × 51 ft
Step-by-step explanation:
while the other answer is basically correct, it makes a to at the beginning of the calculation (but the continues correctly).
and it assumes you can find the right factoring of the expression.
so, I will show you here how to generally solve this, even if you cannot find the right factorization :
l×w = 4,641 ft²
w = 4641/l
2l + 2w = 284
2l + 2(4641/l) = 284
2l + 9282/l = 284
2l² + 9282 = 284l
2l² - 284l + 9282 = 0
to make things easier let's divide everything by 2
l² - 142l + 4641 = 0
the general solution to a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = l
a = 1
b = -142
c = 4641
l = (142 ± sqrt((-142)² - 4×1×4641))/(2×1) =
= (142 ± sqrt(20,164 - 18,564))/2 =
= (142 ± sqrt(1600))/2 = (142 ± 40)/2 = 71 ± 20
l1 = 71 + 20 = 91
l2 = 71 - 20 = 51
w1 = 4641/91 = 51
w2 = 4641/51 = 91
so, they are interchangeable (it does not matter which we call length and which width).
the dimensions are 91 ft × 51 ft
1. Two boats leave a dock at the same time, but they are traveling in opposite
directions. The longest time either boat is capable of traveling without stopping is 6
hours. Boat F travels 200 miles north in x-1 hours, and boat G travels 160 miles south in
x hours.
The boat F spends a time of 3 hours to travel 200 miles north and the boat G spends a time of 4 hours to travel 160 miles south.
How to apply uniform motion to determine the travel time of two boatsIn this question we suppose that each boat travels at constant velocity. In this case and dimensionally speaking, the speed ([tex]v[/tex]), in miles per hour, is equal to the traveled distance ([tex]s[/tex]), in miles, divided by time ([tex]t[/tex]), in hours. Then, this problem can be represented by the following expression:
[tex]\frac{200}{x-1} = \frac{160}{x}[/tex] (1)
Now we clear [tex]x[/tex] within (1):
[tex]200\cdot x = 160\cdot (x-1)[/tex]
[tex]x = 4[/tex]
The boat F spends a time of 3 hours to travel 200 miles north and the boat G spends a time of 4 hours to travel 160 miles south. [tex]\blacksquare[/tex]
Remark
The statement is incomplete and poorly formatted. The complete statement is shown below:
Two boats leave a dock at the same time, but they are traveling in opposite directions at same speed. The longest time either boat is capable of traveling without stopping is 6 hours. Boat F travels 200 miles north in [tex]x-1[/tex] hours, and Boat G travels 160 miles south in [tex]x[/tex] hours. How much time does each boat travel?
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I bought a 4 pack of tissues for $8.80. What was the unit rate?
Answer: 2.2 and/or 2.20 the zero doesn't matter
Step-by-step explanation:
4 goes into 8, 2 times bring the 2 up (4x2=8)
8-8=0
Bring down the next 8
4 goes into 8, 2 times bring the 2 up (4x2=8)
8-8=0
4 goes into 0, 0 times
0-0=0 bring up the 0 or don't
you should get 2.2 and/or 2.20
HELP!! Using the geometric sequence 2,2/3,2/9,. ,2/243, find the approximate sum of the geometric series. Round your answer to the nearest whole number.
Answer choices:
4
3
1
6
we can always get the common ratio of a geometric sequence by simply dividing the current term by the previous term, in this case for the sake of simplicity let's divide 2/3 by 2, so
[tex]\cfrac{2}{3}\div 2\implies \cfrac{2}{3}\div \cfrac{2}{1}\implies \cfrac{2}{3}\cdot \cfrac{1}{2}\implies \cfrac{1}{3}\impliedby \textit{common ratio}[/tex]
so the sequence more or less looks like [tex]2~~,~~\cfrac{2}{3}~~,~~\cfrac{2}{9}~~,~~\cfrac{2}{81}~~,~~\cfrac{2}{243}[/tex]
so we'd want the sum of the first 5 terms
[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ r=\textit{common ratio} \end{cases} \\\\\\ S_5=2\left( \cfrac{1~~ - ~~(\frac{1}{3})^5}{1~~ - ~~\frac{1}{3}} \right)\implies S_5=2\left( \cfrac{~~\frac{242}{243}~~}{\frac{2}{3}} \right)\implies S_5=\cfrac{242}{81}\implies S_5=2\frac{80}{81}[/tex]
Compare the functions shown below
Using complete sentences, explain which function has the greatest y-intercept.
check the answer in the solution part.
Step-by-step explanation:[tex]Solution:\ f(x)=-6x-3.\ when\ x=0.\ f(x)=-3[/tex]
[tex]h(x)=2\ cos(x+\pi)-1\ when\ x=0.h(x)=-3\\ So\ we\ can\ know\ \left|-3\right|=\left|-3\right|\ so\\ the\ two\ functions\ has\ the\ same\\ y-intercepts.[/tex]
I hope this helps you
:)
I would really like help with A & B
Check the picture below.
Make sure your calculator is in Degree mode.
WHAT IS THE AVERAGE NUMBER OF POINTS THAT CHANGED HANDS
Diana is trying to choose a broker who will help her purchase a par value $1,000 corporate bond from deegan pharmaceuticals. broker p charges a commission of 4.4% of the market value of each bond purchased, and broker q charges a flat fee of $32.50 for each bond purchased. if bonds from deegan pharmaceuticals are selling at 104.682, which broker will give diana the better deal, and by how much? a. broker p’s commission will be $9.47 less than broker q’s. b. broker p’s commission will be $27.89 less than broker q’s. c. broker q’s commission will be $13.56 less than broker p’s. d. broker q’s commission will be $11.50 less than broker p’s.
Broker q’s commission with a charge of $32.50 will be $11.50 less than broker p’s commission of 4.4%
What is a bond?A bond is a fixed-income instrument that represents a loan made by an investor to a borrower.
Par value of bond = $1,000
Commission on this by broker p= 4.4% = 1000*(4.4)/100= $44
So, the total price spent to purchase this bond = $1044
Par value of bond = $1,000
Commission on this by broker q= $32.50
So, the total price spent to purchase this bond =1000+32.50 = $1032.50
Difference between both deals = 1044-1032.50 = $11.50
Therefore, broker q’s commission will be $11.50 less than broker p’s.
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Answer:
C. Broker Q's commission will be $13.56 less the Broker P's.
Step-by-step explanation:
I just took the test and got it right.
The graph of the function f(x) = x2 is shifted 2 units up and 1 unit to the right. Which of the following corresponds to the shifted graph?
Answer:
g(x) = (x - 1)^2 + 2.
Step-by-step explanation:
1 unit to the right x---> (x - 1)
2 units up ------ f(x) moves up ---> + 2
answer is (x - 1)^2 + 2
Juan has forty dollars in his jacket. Every day he spends half of the money that is in the jacket. On the first day (Monday), he spends $20 leaving him with twenty dollars. On what day will he start with less than $3.00 in his jacket?
A) Friday
B) Thursday
C) Tuesday
D) Saturday
Answer:
FridayStep-by-step explanation:
Monday he is left with 20,
Tuesday he will start with 20 and end with 10
Wednesday he will start with 10 and end with 5
Thursday he will Start with 5 and end with 2.5
Friday Start with 2.5
which is >3
MARK ME AS BRAINLISTAnswer:
D) Friday
Hope it helps...
Marie is making her own website. She has 45 background colors, 130 fonts, and 20 themes to choose from. How many different designs can she create?
Answer:
20 designs
Step-by-step explanation:
Some websites have limited data and bytes to hold, so she might have to have one theme, 5 fonts, and 2 background colors to look nice. 1 × 5 × 2 = 10. Add all the other background colors and fonts and themes and divide them by 10.
Therefore, she can create about 20 designs