A carver begins work on the following block of granite that weighs 2700 g. What is the density of the granite? View attachment below... Thank you all so much!!!
Answers
Answer:
density = mass/ volume
density= 2700/500
= 25/5 cm 3
(cubic centimeters)
Density of given granite block is [tex]2.7 g/cm^{3}[/tex].
Here,
Weight of granite block is 2700 g.
Dimension of the block is 20 cm, 5 cm, 10 cm.
We have to find the value of density of granite.
What is density?
Density is the substance mass per unit of volume.
Now,
Mass of the block is 2700 g.
Volume of the block = l x b x h
= 20 x 5 x10
=1000
Volume of the block = [tex]1000 cm^{3}[/tex]
Density = mass / volume
⇒ Density = [tex]\frac{2700}{1000}[/tex]
= [tex]2.7[/tex]
Hence, Density of given granite block is [tex]2.7 g/cm^{3}[/tex].
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Related Questions
are 3,000:18,000 and 10,000:32,000 equivalent
Answers
Answer:
No
Step-by-step explanation:
they are not equivalent
1. The assessed value of the Sanchez house is $485,000. The
annual property tax is rate 2.975% of the assessed value.
What is the annual property tax on the Sanchez house?
Answers
Explication :
Multiply 485,000$ with the annual tax ( which is 2.975%) = 1,442,875 and then divide with 100 ( this is the percent from 2,975) and the result is 14,428.75$
What is the value of x in this equatain x/2 - x = x/4 + 6
Answers
Answer:
x=-8
Step-by-step explanation:
A professor of philosophy hypothesizes that an introductory course in logic will affect college students with their other studies. To test this hypothesis, a random sample of 25 first year students is selected. These students are required to complete a logic course during their first year. At the time of graduation, the final GPA is computed or each of these students. The mean GPA for this sample is 2.58 with a SS of 6.
Required:
Can the professor conclude that the grades for the sample were significantly different from the rest of the graduating class, which had an average GPA of 2.33?
Answers
Answer:
NO.
Step-by-step explanation:
The Professor's hypothesis:
An introductory course in Logic will affect college students with their other studies (will affect their Great Point Average - GPA).
25 students are used as the experimental group while the rest of the class are the control group.
The mean GPA in a sample size (SS) of 6 is = 2.58
The mean GPA in the full sample size of 25 would be = 10.75 by crossmultiplying.
This makes me believe the question was written wrongly. I assume SD (standard deviation) of 0.6 instead of SS (sample size) of 6.
Going by this, if standard deviation is 0.6 then the interval within which the GPA of the experimental group (the 25 students) falls is:
[2.58 - 0.6] to [2.58 + 0.6]
= 1.98 to 3.18
The rest of the graduating class (the control group) had a mean GPA of 2.33
Can the professor conclude that the GPA for the sample is significantly different from that of the control group?
The answer is NO because the GPA of the control group falls within the GPA interval of the experimental group!
Evaluate each expression if a=5, b= -8, and c= -9.
g. b-10
h. a-b
I. c-a
Answers
Answer:
g. -18, h. 13, I. -14
Step-by-step explanation:
g. b-10=-8-10=-18
h. a-b=5-(-8)=5+8=13
I. c-a=-9-5=-14
The regular admission price for an amusement park is $72. For a group of 15, or more, the admission price is reduce by $25 per person. How many people need to be in a group to save $500?
Answers
=========================================
Explanation:
x = number of people
Without the discount, each person pays $72, so the total cost is 72x dollars if x people go through the gate individually.
Now applying the group discount, those x people pay 72-25 = 47 dollars each. Meaning the total cost is now 47x. Keep in mind that [tex]x \ge 15[/tex] in order for the discount to kick in.
Subtracting the two amounts leads to 72x-47x = 25x. It is not a coincidence that we get a coefficient of 25 here.
Set this equal to 500 and solve for x
25x = 500
x = 500/25
x = 20
------------
If x = 20 people attend individually, then they pay 72*x = 72*20 = 1440 dollars.
If 20 people go as one group, they pay 47x = 47*20 = 940 dollars
We have a savings of 1440-940 = 500 dollars. This confirms the answer.
All 20 people must go as one group if they want to save $500.
consider this algebraic expression:
5 + 3x – 1 + 4x
Use the algebra tiles to collect like terms.
What is the simplified expression?
Answers
Answer:
7x+4
Step-by-step explanation:
mark me brainliest pls
What is the ratio of the two quantities? Warning: different units! a 4 seconds to 2 min
Answers
Answer:
17:420
Step-by-step explanation:
17 seconds : 7 minutes
7 minutes = 420 seconds
17:420
The ratio of time measurements in two different units is 1/30.
What is Ratio?Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
Given are the time measurements in two different units.
Converting 2 minutes into seconds -
2 min = 2 x 60 = 120 seconds
Now, 4 seconds to 120 seconds can be written as fraction below -
x/y = 4/120 = 1/30
Then, the ratio will be -
x : y = 1 : 30
Therefore, the ratio of time measurements in two different units is 1:30
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Nicole buys candy that costs $4 per pound. She will spend more than $28 on candy. What are the possible numbers of pounds she will buy?
Answers
What is the correct counting for this measure of music?
A
B
C
????
Answers
Answer:
b
Step-by-step explanation:
A crotchet is one, a tied crotchet is 2-3, the quavers are 4 +
what are the real and imaginary parts of complex number -6+2i
The real part __
The imaginary part __
HELP ASAP!! WILL GIVE BRAINLIEST
Answers
Answer:
Step-by-step explanation:
Real number: -6 (for it is a constant)
Imaginary number is 2 & i (for it does not technically exist).
hope this helps
About 3.9×10^7 people live in California. About 1.7×10^6 people live in Idaho. About how many more people live in California than live in Idaho?
Answers
Answer:
37.3 x 10⁶
Step-by-step explanation:
Given parameters:
Number of people in California = 3.9 x 10⁷
Number of people in Idaho = 1.7 x 10⁶
Unknown:
How many more people live in California than live in Idaho = ?
Solution:
To find the number of people living in California more than Idaho, simply find the differences between the number of their population;
= 3.9 x 10⁷ - 1.7 x 10⁶
= 39 x 10⁶ - 1.7 x 10⁶
= (39 - 1.7) x 10⁶
= 37.3 x 10⁶ people
So, 37.3 x 10⁶ more people live in California than Idaho
Approximately how many litres is 70 fluid ounces?
Use the conversion 20 fluid ounces = 1 pint and 134
pints = 1 litre
Answers
Write 81% as a fraction. There is no need to simplify your answer.
Answers
Answer:
81/100
Step-by-step explanation:
Answer:
81/100
Step-by-step explanation:
can y’all please answer this
Answers
Answer: 35 , 14
Step-by-step explanation:
[3(-2)^2-4 ]+[8 (3)-3] [8(3)-3] -[ 3(-1)^2-4]
35 14
How many sandwiches must you sell to make $100 profit
Answers
Answer:
About 25 sandwiches...
Step-by-step explanation:
Answer:
67 sandwiches
Step-by-step explanation:
If you invest 250 dollars to start, you're currently -250. If you gain 5.25 per sandwich you sell, you'd need to sell about 67 sandwiches.
I'm not entirely sure what your question meant though. If the question is simply asking how many sandwiches it would take to make 100 dollars, it would be about 20 sandwiches. If the question is asking how many sandwiches you'd need to sell to gain 100 dollars in profit, covering the cost of the cart, it would be about 67 sandwiches.
PLEASE HELP WORTH 40 POINTS FOR WHOEVER ANSWERS CORRECTLY!!!! PLEASE HELP
1. Refer to the equation 3x − 5y = 15.
(a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair and validated the points were on the line.
Answers
Answer:
x = 1 ⇔ y = -2.4
x = 2 ⇔ y = -1.8
x = 3 ⇔ y = -1.2
x = 4 ⇔ y = -0.6
Step-by-step explanation:
[tex]3x-5y=15[/tex]
→ Rearrange to make y the subject
[tex]-5y=-3x+15[/tex]
→ Multiply everything by -1
[tex]5y=3x-15[/tex]
→ Divide everything by 5
[tex]y=0.6x-3[/tex]
⇒ Substitute x = 1, 2, 3 and 4
[tex]y=0.6x-3\\ y=(0.6*1)-3\\ y=0.6-3\\ y=-2.4\\(1,-2.4)[/tex]
[tex]y=0.6x-3\\ y=(0.6*2)-3\\ y=1.2-3\\ y=-1.8\\(2,-1.8)[/tex]
[tex]y=0.6x-3\\ y=(0.6*3)-3\\ y=1.8-3\\ y=-1.2\\(3,-1.2)[/tex]
[tex]y=0.6x-3\\ y=(0.6*4)-3\\ y=2.4-3\\ y=-0.6\\(4,-0.6)[/tex]
Which one is > greater or < less than or = equal to?? 6+√8____√6+8
Answers
[tex]\huge\boxed{\sqrt{6}+8\;is\;greater\;than \;6+\sqrt{8} }[/tex]
[tex]6+\sqrt[]{8} =8.82\\\sqrt{6}+8=10.44\\\\\boxed{Therefore, \sqrt{6}+8\;is\;greater\;than\;6+\sqrt{8}. }[/tex]
-73.3 as a mixed number
Answers
Answer:
- 73 3/10
Step-by-step explanation:
Step 1:
- 73.3 = -733%
Step 2:
- 733% = - 73 3/10
Answer:
- 73 3/10
Hope This Helps :)
9514 1404 393
Answer:
-73 3/10
Step-by-step explanation:
Pronouncing a decimal number can help when you convert it to a mixed number. This one is ...
"negative seventy-three and three tenths"
Of course, expressing "three tenths" as a fraction, you have 3/10.
Then your number is ...
-73.3 = -73 3/10
Given z1 = StartRoot 2 EndRoot (cosine (StartFraction 3 pi Over 4 EndFraction) + I sine (StartFraction 3 pi Over 4 EndFraction) ) and z 2 = (Cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction Pi Over 2 EndFraction) ) , what is the value of z1 – z2?
cos(0) + isin(0)
cos(0) – isin(0)
cos(Pi) + isin(Pi)
cos(Pi) – isin(Pi)
Answers
Answer: C. cos(Pi) + isin(Pi)
Step-by-step explanation:
The value of subtraction of two given complex numbers z₁ and z₂ is cos(π) + isin(π).
What are complex numbers?A complex number is an element of a number system that includes real numbers and a specific element labeled i sometimes known as the imaginary unit, and which obeys the equation i² = 1. Furthermore, every complex number can be written as a + bi, where a and b are both real values.
How to solve this problem?We know that cos(π - x) = - cosx, sin(π - x) = sinx, cos(π/4) = 1/√2 = sin(π/4), cos(π/2) = 0, sin(π/2) = 1, cos(π) = - 1, sin(π) = 0.
Given that z₁ = √2[cos(3π/4) + isin(3π/4)] = √2[cos(π - π/4) + sin(π - π/4)] = √2[- cos(π/4) + sin(π/4)] = √2[- 1/√2 + 1/√2] = √2[0] = 0
and z₂ = cos(π/2) + isin(π/2) = 0 + i × 1 = 1
Now, z₁ - z₂ = 0 - 1 = - 1 = - 1 + i × 0 = cos(π) + isin(π)
Therefore, the value of subtraction of two given complex numbers z₁ and z₂ is cos(π) + isin(π).
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The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 14 automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period.
A. Which form of the null and alternative hypotheses most appropriate for this situation.
B. Comment on the conclusion when H0 cannot be rejected.
1. No evidence that the new plan increases sales.
2. The research hypothesis ? > 24 is supported; the new plan increases sales.
C. Comment on the conclusion when H0 can be rejected.
1. No evidence that the new plan increases sales.
2. The research hypothesis ? > 24 is supported; the new plan increases sales.
Answers
Answer:
A) Null Hypothesis: H0: μ ≤ 14
Alternative hypothesis: Ha: μ > 14
B) If the null hypothesis H0 is not rejected, it means that there is no sufficient evidence to support the claim that new bonus plan increases
sales volume.
C) If the null hypothesis is rejected, it means there is sufficient evidence to support the claim that the new bonus plan increases sales volume
Step-by-step explanation:
A) We are told that the mean sales volume is 14 automobiles per month.
The hypotheses is defined as follows;
Null Hypothesis: H0: μ ≤ 14
Alternative hypothesis: Ha: μ > 14
B) If the null hypothesis H0 is not rejected, it means that there is no sufficient evidence to support the claim that new bonus plan increases
sales volume.
C) If the null hypothesis is rejected, it means there is sufficient evidence to support the claim that the new bonus plan increases sales volume.
Help the lab assistant complete the table. How many minutes did the object travel after 2.5 hours ?
Answers
Answer:
The time X (min) for a lab assistant to prepare the equipment for a certain experiment is believed to have a uniform distribution with A = 25 and B =35.. a. Determine the pdf of X and sketch the corresponding density curve.
Step-by-step explanation:
I think :/
Answer:
150
Step-by-step explanation:
Hope this helped you!!
The constant of proportionality of this table is
Cups of
blue paint
cups of
yellow paint
2 10
1
Answers
Answer:
Step-by-step explanation:
1/2
PLEASE HELP Line A is represented by the equation, y = 1/4x + 5 . (a) Write in slope-intercept form, the equation of a line that is steeper than line A. (b) Write in slope-intercept form the equation of a line that is a vertical shift down 4 units from line A.
Answers
Answer:
a) y= 2x +3
b) y= ¼x +1
Step-by-step explanation:
Please see the attached picture for the full solution.
Further explanation:
b) y-intercept of A= 5
y-intercept of line= 5 -4= 1
Since the gradient of the line is equal to the gradient of line A, gradient of line= ¼.
The five young women who live in the houses shown on the plan below are currently at the salon, having their hair styled. Where does each woman live, and what is the color of her hair?
Clues:
1. The young woman with blonde hair lives next to and south of Arianna, who lives directly east of LaDonna.
2. Sara lives next to and south of Martha.
3. One of the five lives directly east of Joi, who lives farther north than the woman with silver hair.
4. The young woman with purple hair lives next to and north of the woman with black hair.
Answers
Answer:
Sara lives next to south of Maratha and has black hairs.
One women lives at the east of joi has purple hairs.
One women who has silver hairs lives in Moldova which is north to Joi.
The young women with blond hairs lobe to south of Arianna.
Step-by-step explanation:
There are five women who are at the salon for their hair care services. All of the women have different colored hairs. The women with blonde hairs live in Arianna which is south wast to the women who lives in Joi. The women who lives in Joi has purple hairs.
is (5,15) a solution of the equation y= 3x? (plz answer asap)
Answers
Answer:
Yes
Step-by-step explanation:
15 = 3(5)
15 = 15
You plug in the point
This is a 2x2 identity matrix:
True
Or
False
Answers
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Carl wrote three numbers between 0.47 and 0.48 What numbers did Carl write?
Answers
Answer:
Three examples are 0.471, 0.472, 0.473.
Always remember there are more than 2 place values in decimals! Do not be afraid to extend it. Have a nice day and mark brainliest if possible :)
Can someone please tell me answerrrrrrr
Answers
Answer: B
Steps: $208.08
PLz mark brainliest:)
question 8/10 please and thank you
Answers
Answer:
80
Step-by-step explanation:
These angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel
12x+8 = 13x+2
Subtract 12x from each side
12x+8-12x = 13x+2-12x
8 = x+2
subtract 2 from each side
8-2 =x
6 =x
Find the measure of the angle
12x+8
12*6+8
72+8
80