Answer: 1.0cm
Step-by-step explanation:
Given the following :
Volume = Mass / Density
Given that:
Mass of spherical grape = 8.4g
Density = 2g/cm^3
Radius of the grape =?
Volume of grape = mass of grape / density of grape
Volume = 8.4g / 2g/cm^3
Volume = 4.2cm^3
Volume of a sphere = (4/3)πr^3
4.2 = 4/3 * 3.14 * r^3
4.2 = (12 * r^3) / 3
4.2 × 3 = (12 * r^3)
12.6 = 12r^3
r^3 = 12.6/12
r^3 = 1.05
r = 1.01639635681
r = 1.0 cm ( to the nearest tenth)
Answer:
1.0 cm
Step-by-step explanation:
Someone please help!!
Answer:
A) V + 6 B = 372
B) 4V + 12B = 780
We'll divide B) by -4
B) -V -3B = -195 Then we add A)
A) V + 6 B = 372 which equals
3B = 177
1 Bus carries 59 Students
For the Van let's use equation A)
V + 6 * 59 = 372
Van = 372 -354
Each Van Carries 18 Students
Step-by-step explanation:
Need help with #11 please
Answer: The graph is a linear graph or linear function in the form y= mx + b where m is the slope and b is the y-intercept. You could plot the points (0,5) (1,4) (2,3) (4,1) and draw a straight line through them.
Step-by-step explanation:
The equation y= 5-x can be rewrite as y = -1x + 5 and it can be identify as a linear equation in slope intercept form. Now you could plot in any value of x and solve for y.
x y (x,y)
0 5 (0,5) If you put in 0 for x y will be 5
1 4 (1,4) if you put in 1 for x, y will be 4
2 3 (2,3) if you put in 2 for x, y will be 3
4 1 (4,1) if you put in 4 for x, y will be 1
5 0 (5,0) if you put in 5 for x y will be 0.
A bag of fruit in the supermarket contains 4 oranges and 9 apples.You buy enough bags to get 32 oranges.How many apples will you get?
Answer:
37 apples
Step-by-step explanation:
just add 5 to 32
Answer:
72
Step-by-step explanation:
Oranges:Apples
4:9
4*8:9*8
32 oranges:72 apples
Tommy wants to make ice cream for his birthday party. He has 6 cups of cream. Each batch
of ice cream takes 3/4 cups of cream. How many batches can he make? *
Answer:
8 batches
Step-by-step explanation:
Take the total amount of cream and divide by the amount of cream per batch
6 ÷ 3/4
Copy dot flip
6 * 4/3
6/3 *4
2*4
8 batches
Elle, Jonah and Mandy shared some game cards in the ratio 2:3:7. Each of
them would have received 152 game cards each if the game cards were
distributed equally. How many more game cards did Mandy receive than Elle? Please do a step by step explanation.
Answer:
190 cards
Step-by-step explanation:
Elle, Jonah and Mandy shared the game cards in the ratio 2 : 3 : 7. The total ratio is:
2 + 3 + 7 = 12
If they were shared equally, they would each receive 152 cards, this means that the total number of cards they received is:
152 * 3 = 456 cards
Elle's share is therefore:
2 / 12 * 456 = 76 cards
Mandy's share is:
7 / 12 * 456 = 266 cards
Therefore, the number of cards that Many received more than Elle is:
266 - 76 = 190 cards
Please answer this question fast in two minutes
Answer:
lines NP and OP are intersecting
Step-by-step explanation:
they touch at point P
What are the first four terms of the sequence a1=−9 and an+1=an+n. I really need help with this im struggling
[tex]a_{n+1}=a_n+n[/tex]
The formatting was a bit confusing, so please do let me know if this isn't the correct equation for the sequence.
The first term is given, which is
[tex]a_1=-9[/tex]
Now, use the equation for the next terms:
[tex]a_{1+1}=a_2=-9+1=-8[/tex]
[tex]a_{2+1}=a_3=-8+2=-6[/tex]
[tex]a_{3+1}=a_4=-6+3=-3[/tex]
Thus, the first 4 terms are -9, -8, -6, and -3. Let me know if you need any clarifications, thanks!
Sum of four consecutive multiplies of 7 is 70.Find these multiplies.
please
Answer: 7, 14, 21, 28
Step-by-step explanation:
Let first multiple = x
So, second multiple = x + 7
Third = x + 14
Fourth = x + 21
According to the question,
=>x + (x + 7)+ (x + 14) + (x + 21) = 70
=>4x + 42 = 70
=>4x = 28
=>x = 7
So, the multiples are 7(x), 14(x+7), 21(x+14), 28(x+21)
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. x = 8y2, y ≥ 0, x = 8; about y = 2
Answer:
Step-by-step explanation:
If you were to graph this on a coordinate plane, it looks like a log function. It starts at (0, 0) and ends, according to the boundaries given, at x = 8. Because we are to solve for the volume using the shell method, we need x = y equations (which we have, thankfully!) and y intervals. The y-interval is given to us within the problem as 0≤y≤2. If we are to revolve this solid about the line y = 2, the line of rotation is above the solid, so we have to go backwards to get there. That's very important. The formula we need for shells is
[tex]2\pi\int\limits^2_0 {p(y)h(y)} \, dy[/tex]
where p(y) is the distance between the axis of rotation and the solid, and h(y) is the height of the representative rectangle. Since we are using the shell method, the representative rectangle is parallel to the axis of rotation, so it is 8 units long (or high).
p(y) is the distance from y = 2 to the solid, so p(y) = 2 - y
h(y) is the length of the representative rectangle, so h(y) = 8
and filling in the formula:
[tex]2\pi\int\limits^2_0 {(2-y)(8)} \, dy[/tex] and simplifying a bit:
[tex]2\pi\int\limits^2_0 {16-8y} \, dy[/tex]
Integrating we get
[tex]2\pi[16y-4y^2][/tex] from 2 to 0. Using the First Fundamental Theorem of Calculus:
[tex]2\pi[(32-16)-(0)][/tex] simplifies to
[tex]2\pi(16)[/tex] which is, finally,
[tex]V=32 \pi[/tex]
In this exercise we have to use the fundamental calculus theorem to calculate the volume of a rotating cylinder, thus we find that:
[tex]V=32\pi[/tex]
If you were to graph this on a coordinate plane, it looks like a log function. It starts at (0, 0) and ends, according to the boundaries given, at x = 8. Because we are to solve for the volume using the shell method, we need x = y equations and y intervals. The y-interval is given to us within the problem as 0≤y≤2. If we are to revolve this solid about the line y = 2, the line of rotation is above the solid, so we have to go backwards to get there. That's very important. The formula we need for shells is
[tex]2\pi \int\limits^2_0 {p(y)h(y)} \, dy[/tex]
Where p(y) is the distance between the axis of rotation and the solid, and h(y) is the height of the representative rectangle. Since we are using the shell method, the representative rectangle is parallel to the axis of rotation, so it is 8 units long (or high).
p(y) is the distance from the solid, so: [tex]p(y) = 2 - y[/tex] h(y) is the length of the representative rectangle, so: [tex]h(y) = 8[/tex]
and filling in the formula:
[tex]2\pi \int\limits^2_0 {16-8y} \, dy[/tex]
Integrating we get;
[tex]2\pi [ 16y-4y^2][/tex]
Using the First Fundamental Theorem of Calculus:
[tex]2\pi [ (32-16)-(0)][/tex]
[tex]2\pi (16) \\V=32\pi[/tex]
See more about volume at brainly.com/question/1578538
Which property best describes the conditional statement below?
If triangle ABC= triangleDEF, then ADEF= triangleABC
Answer:
symmetric property
Step-by-step explanation:
because if we say
a=b and b=a
we referred to symmetric property
A car trip is 1/2h shorter that a bus trip. How long is the car trip if the bus trip is 3/4h?
Answer:
1/4h
Step-by-step explanation:
The car trip is 1/2h shorter than the bus trip.
The bus trip is 3/4h long.
Therefore, the length of the car trip is:
3/4h - 1/2h = 1/4h
The car trip is 1/4h long.
Use a calculator to find the correlation coefficient of the data set. PLEASE HELP!
Answer:
The correlation coefficient of the data set is -0.901
Step-by-step explanation:
x y xx xy yy
1 20 1 20 400
3 14 9 42 196
5 10 25 50 100
9 6 81 54 36
15 4 225 60 16
[tex]\sum x = 1+3+5+9+15=33\\\sum y =20+14+10+6+4=54\\\sum x^2 =1+9+25+81+225=341\\\sum y^2=400+196+100+36+16=748\\\sum xy=20+42+50+54+60=226[/tex]
Formula :[tex]\frac{N \sum XY - (\sum X)(\sum Y)}{\sqrt{N\sum X^2 - (\sum X)^2}\sqrt{N \sumY^2 - (\sum Y)^2)}}[/tex]
[tex]= \frac{5 (226) - (33)(54)}{\sqrt{5(341)- (33)^2}\sqrt{5 (748) - (54)^2}}\\=-0.901[/tex]
So, Option D is true
Hence the correlation coefficient of the data set is -0.901
help can you also show how you do it too
Answer:
m the slope of function=-3
Step-by-step explanation:
to find the slope take two points from the graph:
(0,4), (1,1)
m= y2-y1/x2-x1
m=1-4/1-0
m=-3/1=-3
the equation : y=mx+b find b
when x=0, y=b=4
y=-3x+4
PLEASE HELP!! 85 POINTS!!
Answer:
20
Step-by-step explanation:
Angle EAC and angle GCJ are corresponding angles.
So angle EAC is equal to 70 degrees.
Angle KAE is a right angle, so it is 90 degrees.
Angles on a line add up to 180 degrees.
x + 90 + 70 = 180
x = 180 - 160
x = 20
Answer:
The measurement of ∠x is 20°
Step-by-step explanation:
From this problem, we are given a few pieces of information. First we know that DE is parallel to FG. We also know that KL is perpendicular to FG. Perpendicular means that the angles from KL and FG are going to form right angles.
So, knowing this, we can start off my saying that the measurement of ∠KAE is 90°.
We can also say that the measurement of ∠IAD is 70° because it is correspondent to ∠JCG and corresponding angles have the same measurements.
So, now we can find x. Set up equation.
70 + x + 90 = 180
Add 70 to 90.
x + 160 = 180
Subtract 160 on both sides.
x = 20
So, the value of x is 20°
Giselle has $40 to spend on parking this month. Parking costs her $2.50 each day. After Giselle parks for 9 days, which statement is true? 1.Giselle has spent less than 12 of her parking money. 2.Giselle has spent 12 of her parking money. 3.Giselle has spent more than 12 of her parking money. 4.Giselle has spent almost all of her parking money.
Answer:
Giselle has spent more than 1/2 of her parking money.
Step-by-step explanation:
divide $1600 in the ratio of 3:7:10
Answer:
240, 360, 800
Step-by-step explanation:
We can call the numbers 3x, 7x, and 10x and then we can write:
3x + 7x + 10x = 1600
20x = 1600
x = 80 so the numbers are 3 * 80 = 240, 7 * 80 = 560 and 10 * 80 = 800.
What is the sum of 1.57 and 6.88?
Answer:
8.45
Step-by-step explanation:
You add the ones place together:
1 + 6 = 7
You add the tenths place together:
0.5 + 0.8 = 1.3
You add the hundredths place together:
0.07 + 0.08 = 0.15
Then you combine them all together to get 8.45
ABCD is a rectangle.
Use the diagram to answer the questions.
The length of AB is __
The length of BC is __
The length of AC is __
Answer:
12
5
13
Step-by-step explanation:
A car travels at a speed of 41 meters/second using 756 joules of energy every second. Suppose we know that the car uses 52,700 joules of energy. Set up a calculation to find the number of meters the car travels with this amount of energy.
Answer:
Heres a screenshot with the answers I got from someone who commented:
Edit: Credits- saltern20333
Answer:
Step-by-step explanation:
The vertices of are D(7, 3), E(4, -3), and F(10, -3). Write a paragraph proof to prove that is isosceles.
Answer:
See explanation
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x2 - x1)^2+(y2-y1)^2}[/tex]
Isosceles Triangle: 2 sides are the same
[tex]d = \sqrt{(4 - 7)^2+(-3-3)^2} = 3\sqrt{5}[/tex]
[tex]d = \sqrt{(10-4)^2+(-3+3)^2} = 6[/tex]
[tex]d = \sqrt{(10-7)^2+(-3-3)^2} = 3\sqrt{5}[/tex]
Since we have 2 distances between the vertices the same, we have an isosceles triangle.
Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from the line at points F and E to form an isosceles triangle with point D. Angle DEF measures 75°. What is the measure of angle CFD? 105° 125° 150° 165°
Answer:
105 degrees
Step-by-step explanation:
Angle DEF measures 75°.Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE.
the angles all together is 180 degrees
so 180 - 75 = 105 degrees
The measure of angle CFD is 105 degrees.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Angle DEF = 75°.
Triangle DEF is isosceles, so Angle DEF Is-congruent-to Angle DFE.
Angle DFE + Angle CFD = 180 (angle on a straight line)
so 180 - 75 = 105 degrees
Thus, Angle CFD = 105 degree
Learn more about the triangles;
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The company calculates that 500 g of titanium dioxide should produce 1.2 kg of titanium chloride. However, the company finds that 500 g of titanium dioxide only produces 900 g of titanium chloride. Calculate the percentage yield.
Answer:
75%
Step-by-step explanation:
Percent yield = experimental yield / theoretical yield * 100
= 900 / 1200 * 100 (remember that 1,000 g = 1 kg)
= 75
What expression is equivalent to rm÷rn?
A) rm-n
B) rm+n
C)m×n
D)rm÷n
Answer:
A) rm - n is the answer.
hope this helps
Answer:
D
Step-by-step explanation:
rm/rn can be factored into r(m/n) which is what is seen in answer D
The material needed to make the skin of a basketball costs $71.62 / m2. A standard basketball has a diameter of 24 cm. To the nearest dollar, how much does a basketball cost to make?
Answer: $1296
Step-by-step explanation:
Surface area of s sphere = 4πx r^2
Diameter = 1/2 radius
Surface area = 4π x 12^2
= 1809.56 cm^2 = 18.096 m^2
Material required = 71.62 x 18.096
= $1296
Answer:
$13
Step-by-step explanation:
First step is to convert cm to metres (24cm/100=0.24m)
therefore diameter is now 0.24
SA= 4π^r2 r=d/2=0.24m/2= 0.12m
SA= 4π^(0.12)^2= 0.1809...m^2
So since the surface area of this basketball is 0.1809..m^2, we then must calculate how much it will cost for the material to cover for one basketball. (this is why converting is important because you can end up with the wrong price/answer)
$71.62/1m^2 =0.1809..m^2 =$12.96
They want it in nearest DOLLAR so final answer is $13 to make one basketball
Read more on Brainly.com - https://brainly.com/question/16982685#readmore
Which number is a perfect cube?
O9
O 18
0 27
O 36
Answer:
27
Step-by-step explanation:
9 is not a perfect cube.
18 is not a perfect cube.
27 is a perfect cube.
∛27 = 3
36 is not a perfect cube.
Answer:
27
Step-by-step explanation:
We want a number time itself times itself
27 = 3*3*3
27 = 3^3
2 rectangles have the same area. rectangle A is 6cm by 4cm, B is 3cm by Xcm. what is the value of X?
Answer:
x=8
Step-by-step explanation:
If the two rectangles have the same area, then you have to first find the area to solve the problem. To find the area, do 6(Length)x4(Width)=24. So now that we know that the area is 24, now all you have to do is divide 24 by 3 to find the missing dimension. 24÷3=8. Therefore, x=8.
Your roommate loves to eat Chinese food for dinner. He estimates that on any given night, there’s a 30% chance he’ll choose to eat Chinese food. Although he loves Chinese food, he doesn’t like to eat it too much in a short period of time, so on most weeks he eats several different kinds of foods for dinner. Suppose you wanted to calculate the probability that, over the next 7 days, you friend eats Chinese food at least 3 times. Which of the following is the most accurate statement about calculating this probability?
A. Because he doesn’t like to eat Chinese food too much in a short period of time, p is not really the same for each trial and so we cannot use the binomial distribution to calculate the desired probability.
B. Because "success" or "failure" have no real meaning in the context of this problem, we cannot use the binomial distribution to calculate the desired probability.
C. Because we do not know the probabilities of your roommate eating any other types of foods, we cannot use the binomial distribution to calculate the desired probability.
Answer:
A. Because he doesn’t like to eat Chinese food too much in a short period of time, p is not really the same for each trial and so we cannot use the binomial distribution to calculate the desired probability.
Step-by-step explanation:
As it is mentioned in the question that he doesn't like the Chinese too much in a very short interval so he prefers various other foods for dinner
So now we have to determine the probability for the next 7 days
So based on the options mentioned, we prefer option A as we do not use the binomial distribution here as it shows only success results that are not confirmed in the given case
Therefore, the correct option is A.
Simplify.
Rewrite the expression in the form b^n
(b^3)^2
Answer: b⁶
Step-by-step explanation:
The for bⁿ can be optained by multiplying 3 and 2. If there is an exponent on the outside of the parenthesis, you multiply it with the exponent on the inside.
(b³)²=b³ˣ²=b⁶
For a proof by induction of the math statement below, identify the correct step for proving the theorem is true for n = k + 1. HELP ASAP THANKS!!
What we do is simply replace every n with k+1. So (3n)^2 turns into (3(k+1))^2
We see that only choice A has the correct term mentioned on the left hand side, so this must be the answer.
The right hand side is treated the same way. We plug in n = k+1. Your teacher did a bit of algebraic manipulation to get what is shown for choice A.
John can cut the yard on a riding lawn mower in 2 hours. Sandy can cut the yard with a push mower in 5 hours. How long would it take to cut the yard if John and Sandy work together? (Express in hours and minutes)
Answer:
2x/5x= 7
Step-by-step explanation: