Answer:
Denote the scale factor is k.
=> The ratio between the volume of two rectangular pyramids: k^3
=> k^3 = 11000/5632
=> k^3 = 1.95
=> k = ~1.25
Hope this helps!
:)
Order the steps needed to simplify this expression
(3+1)^2-17•2+24/3+5
Simplify inside parentheses
Perform addition and subtraction left to right
Perform multiplication and division
Evaluate exponents
Answer:
Step 1
Step 4
Step 3
Step 2
Hence, the order of steps needed to simplify this expression is
Step 1
Step4
Step3
Step2
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given expression is
[tex](3+1)^2-17(2)+\frac{24}{3}+5[/tex]
Step 1:-
Simplify the parenthesis
[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5[/tex]
Step 2:- Evaluate exponents
[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5[/tex]
Step 3:-Perform multiplication and division
[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5\\\\=16-24+8+5[/tex]
Step 4:- Perform addition and subtraction left to right
[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5\\\\=16-24+8+5\\\\=29-24\\\\=5[/tex]
Hence, the order of steps needed to simplify this expression is
Step 1
Step4
Step3
Step2
To know more about the simplification
https://brainly.com/question/12795317
#SPJ5
josh wants to make 5 airplane propellers. he needs 18 centimeters of wood for each propeller. how many centimeters of wood will he use?
The expression below can be used to find the area of a triangle with a base of 4.5 in. and a height of 2.1 in. One-half (n) (2.1) What number should go in place of n to find the area of the triangle?
Answer:
Step-by-step explanation:
4.5
Answer:
4.5
Step-by-step explanation:
i did the test
ashley spent $7.14 at one store and $5,24 at another store. how much money did she spend total at the two stores?
Answer:
$12.38
Step-by-step explanation:
What type of probability distribution will most likely be used to analyze the number of blue chocolate chips per bag in the following problem? The quality control manager of a candy plant is inspecting a batch of chocolate chip bags. When the production process is in control, the average number of blue chocolate chips per bag is 6.0. The manager is interested in analyzing the probability that any particular bag being inspected has fewer than 5.0 blue chocolate chips.
binomial distribution
When the production process is in control, the mean number of blue chocolate chips per bag is 6.0. The manager is interested in analyzing the probability that any particular bag being inspected has fewer than 5.0 blue chocolate chips. a) binomial distribution.
Drag the item from the item bank to its corresponding match.
Match the prism or cylinder with its volume.
Answer:
i cant help you because i cant see the things on the picture if u get a better picture i can help
Step-by-step explanation:
신안출장샵ブ《카톡Wht73 신안콜걸 Dio25,Net》일본인신안출장마사지ブ신안콜걸샵ブ신안출장만남,신안출장샵추천,신안출장업소,신안출장안마
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신안출장샵ブ《카톡Wht73 신안콜걸 Dio25,Net》일본인신안출장마사지ブ신안콜걸샵ブ신안출장만남,신안출장샵추천,신안출장업소,신안출장안마
Answer:
aã/fjd &dsjf éfbcsçvn bñßã
Solve equations using structure
You might need:
Calculator
Let m = x2 + 3.
Which equation is equivalent to (x2 + 3)2 + 7x2 + 21 =
10 in terms of m?
Answer: [tex]9m=10[/tex] or [tex]m=\frac{10}{9}[/tex]
I don't know your options... but you can check my work below and see if any of the other options fit yours.
Step-by-step explanation:
[tex](x^2 + 3)2 + 7x^2 + 21 =10[/tex]
If [tex]x^2+3=m[/tex], we can rewrite this as;
[tex](m)2+7x^2+21=10\\2m+7x^2+21=10[/tex]
By grouping, we can factor another m.
[tex]2m+(7x^2+21)=10[/tex]
Factor a 7.
[tex]2m+7(x^2+3)=10[/tex]
Rewrite it in terms of m.
[tex]2m+7m=10[/tex]
Combine like terms;
[tex]9m=10[/tex]
Divide by 9
[tex]m=\frac{10}{9}[/tex]
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions.
Listed below are selling prices (dollars) of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine. Are the resulting statistics representative of the population of all TVs that are 60 inches and larger? If you decide to buy one of these TVs, what statistic is most relevant, other than the measures of central tendency?
1850 1950 1600 1950 1650 1000 1950 1400 1000 1700 1950 1150
Answer:
a) Mean = $1,595.83
b) Median = $1,675
c) Mode = $1,950
d) Midrange = $1,475
e)
- No, the resulting statistics are not representative of the population of all TVs that are 60 inches and larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine, hence, this dataset is representative of the best type of TVs that are 60 inches and larger and not all TV sets.
- The statistic that is most relevant other than the measures of central tendency is the standard deviation, a measure of dispersion It shows the variation of the selling prices of different best TVs that are 60 inches and larger, especially their variations from the mean.
Step-by-step explanation:
The data set for selling prices of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine.
1850 1950 1600 1950 1650 1000 1950 1400 1000 1700 1950 1150
a) Mean
The mean is the sum of all the variables in the distribution divided by the number of variables.
Mean = (Σx)/N = (1850+1950+1600+1950+1650+1000+1950+1400+1000+1700+1950+1150)/12
= (19,150/12) = $1,595.83
b) Median
The median is the variable that falls at the middle of the distribution when all the variables are arranged in ascending or descending order.
Arranging this dataset
1000, 1000, 1150, 1400, 1600, 1650, 1700, 1850, 1950, 1950, 1950, 1950
The numbers in the middle of this distribution include the sixth and seventh variables respectively, 1650 and 1700
Median = (1650+1700)/2 = $1,675
c) Mode
The mode is the variable with the highest frequency in the distribution. It is the variable that occurs the most in the distribution.
Evidently, the selling price with the highest frequency or the selling price that occurs the most in this distribution = $1950
d) Midrange
The midrange is given mathematically as
Midrange = [(Highest variable) + (lowest variable)] ÷ 2
Highest variable = 1950
Lowest variable = 1000
Midrange = (1950+1000)/2 = $1475
e)
- No, the resulting statistics are not representative of the population of all TVs that are 60 inches and larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine, hence, this dataset is representative of the best type of TVs that are 60 inches and larger and not all TV sets.
- The statistic that is most relevant other than the measures of central tendency is the standard deviation, a measure of dispersion It shows the variation of the selling prices of different best TVs that are 60 inches and larger, especially their variations from the mean.
Hope this Helps!!!
Write the following number in standard decimal form.
six thousand five hundred thirty-four ten-thousandths
Answer: 6.534 x 10^(-1)
Step-by-step explanation:
Six thousand five hundred and thirty four ten thousandth
6534/10000
Convert to decimal
6534/10000=0.6534
Then convert to standard form
0.6534=6.534 x 10^(-1)
3(12−5)+(8x8)-45? Answer?
Answer:
its 40
Step-by-step explanation:
i think
100 POINTS
PLEASE PROVIDE STEPS
THANK YOU!!
Answer:
Local minimum at x = 0.
Step-by-step explanation:
Local minimums occur when g'(x) = 0 and g"(x) > 0.
Local maximums occur when g'(x) = 0 and g"(x) < 0.
Set g'(x) equal to 0 and solve:
0 = 2x (x − 1)² (x + 1)²
x = 0, 1, or -1
Evaluate g"(x) at each point:
g"(0) = 2
g"(1) = 0
g"(-1) = 0
There is a local minimum at x = 0.
Answer:
Local minimums occur when g'(x) = 0 and g"(x) > 0.
Local maximums occur when g'(x) = 0 and g"(x) < 0.
Set g'(x) equal to 0 and solve:
0 = 2x (x − 1)² (x + 1)²
x = 0, 1, or -1
Evaluate g"(x) at each point:
g"(0) = 2
g"(1) = 0
g"(-1) = 0
There is a local minimum at x = 0.
of 30 students , 1/3 play sports. Of those who play sports, 2/5 play soccer. How many students play soccer?
Answer:
10 ppl play sport. 2/5= 4/10 so 4 ppl play soccer
Step-by-step explanation:
Find the area of the shape
with the radius of 10
Answer: 314.16
Step-by-step explanation: To find the area of a circle you have to square the radius then multiply by pi. 10 squared is 100 then multiplied by pi is 314.16 (rounded to the nearest hundredth).
Which equations represent the line that is perpendicular to the line 5x – 2y = -6 and passes through the point (5. -4)? Select
three options.
0y = 2 X-2
2x + 5y = -10
2x - 5y = -10
my+4=} (x - 5)
By -4 = (x + 5)
Answer:
work is shown and pictured
Use the permutation formula below to find the number of outcomes when n = 5
and r= 2.
n!
(n,r)!
Answer:
20.
Step-by-step explanation:
5! / (n - r)!
= (5*4*3*2*1) / 3*2*1
= 5*4
= 20.
75, 88, 90, 96, 98, 100
Which box plot represents this data?
Answer:
Graph A
Step-by-step explanation:
75, 88, 90, 96, 98, 100
The lowest is 75 and the highest is 100 so there should be dots there
The median is between 90 and 96
75, 88, 90, 96, 98, 100
(90+96)/2 = 93 There should be a line at 93 that is the middle of the box
This is either graph A or C
Now find the upper quartile
That is the middle of 96, 98, 100 or 98
That would be Graph A
Answer:
First one
Step-by-step explanation:
75, 88, 90, 96, 98, 100
Min: 75
Q1: 88
Q2: (90+96)/2 = 93
Q3: 98
Max: 100
Question
A coin has a radius of 10 mm. How long will it take the coin to roll through the given angle measure at the
glven angular velocity? How far will it travel in that time? Round to the nearest tenth.
180°; 2 rev/sec
The coin will take
sec to roll 180° and travels approximately
mm.
Answer:
the time is 1.57 sec and the distance is 49.32mm
Step-by-step explanation:
Given that,
The angle is 180°
Angular velocity is 2rev/sec
The radius is 10mm
we are to find the time and distance traveled at that time
The formula is
θ = at
where t is the time,
a is the angular velocity
θ is angle in radian
so,
θ = 180° × π/180°
θ = π
= 3.14
Hence ,
θ = at
3.14 = 2t
t = 1.57sec
let the distance be xmm
[tex]\frac{1.57 \times 180^0}{360} = \frac{x}{20 \pi} \\\\0.785 = \frac{x}{20 \pi} \\\\x = 49.32mm[/tex]
Therefore , the time is 1.57 sec and the distance is 49.32mm
Answer:
a) 0.25 s
b) 15.71 mm
Step-by-step explanation:
Given:-
- The radius of the coin, r = 10 mm
- The angle swept by the coin, θ = 180°
- The frequency of ration of the coin, f = 2 rev /s
Find:-
How long will it take the coin to roll through the given angle measure at the
given angular velocity?
How far will it travel in that time?
Solution:-
- We will first determine the angular speed ( ω ) of the coin. That is the rate of change of angle swept. Mathematically expressed as:
ω = dθ / dt = 2*π*f
- Separate the variables:
dθ = 2*π*f . dt
- Integrate both sides.
∫dθ = 2*π*f ∫ dt
θ = 2*π*f*t
- The time taken to sweep an angle of ( θ ) is:
t = θ / 2*π*f
Where, θ is in radians. 180° = π radians
- Plug in the values:
t = π / 2*π*( 2 )
t = 1 / 4 = 0.25 s ... Answer
- The tangential speed (v) of any point on the circumference of a coin is. Considering only rolling motion of the coin:
v = r*ω = 2*r*π*f
- The velocity of the any point on the rolling coin circumference would be:
v = 2*(10)*π*(2)
v = 40π mm/s
- Since we are considering the coin as a rigid body and not a point mass. We have to determine the velocity of the center of mass of the coin ( Vcm ).
- Consider a coin as a circle. The point of contact of the between the circle ( coin ) is called the center of instantaneous velocity.
- Then mark two horizontal velocity vectors. One starts at the center of mass of the coin ( pointing right ): Denote this as the velocity of center of mass ( Vcm ).
- Other one starts from top most point lying on the circumference of the circle, this vector should be longer than the one made at center of mass (pointing right ): Denote this as the tangential velocity ( v ).
- Now joint the heads of two vectors ( v and Vcm ) with the center of instantaneous velocity ( contact between coin and surface ). Now make a vertical line that starts the top most point passing through center of mass and ends at the center of instantaneous velocity.
- We will end up with two similar triangles. We will use the law of similar triangle and determine the velocity of center of mass ( Vcm ):
2r / r = v / Vcm
Vcm = v / 2
- Evaluate the velocity of center of mass ( Vcm ):
Vcm = 40π / 2
Vcm = 20π mm/s
- Use the distance-speed-time relationship and determine how far the coin travelled ( s ) in the computed time in part a:
s = Vcm*t
s = 20π*0.25
s = 5π = 15.70796 mm
Answer: The distance travelled by the coin in the time interval of 0.25 seconds is 15.71 mm ( rounded to nearest tenth )
A survey asked, "How many tattoos do you currently have on your body?" Of the 1211 males surveyed, 185 responded that they had at least one tattoo. Of the 1097 females surveyed, 130 responded that they had at least one tattoo. Construct a 90% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p 1 represent the proportion of males with tattoos and p 2 represent the proportion of females with tattoos. Find the 90% confidence interval for p 1 minus p 2.
Answer:34%
Step-by-step explanation:I think this is right but I don’t really understand
Many fundraisers ask for donations using e-mail and text messages. The paper "Now or Never! The Effect of Deadlines on Charitable Giving: Evidence From Two Natural Field Experiments" ( Journal of Behavioral and Experimental Economics [2016]: 1-10) describes an experiment to investigate whether the proportion of people who make a donation when asked for a donation by e-mail is different from the proportion of people who make a donation when asked for a donation in a text message. In this experiment, 1.32% of those who received and opened an e-mail request for a donation and 7.77% of those who received a text message asking for a donation actually made a donation. Assume that the people who received these requests were randomly assigned to one of the two groups (e-mail or text message) and suppose that the given percentages are based on sample sizes of 2000 (the actual sample sizes in the experiment were much larger).
a. The study described is an experiment with two treatments. What are the two treatments?
b. Use a 90% confidence interval to estimate the difference in the proportions who donate for the two different treatments
c. Is there convincing evidence that the proportion who make a donation is not the same for the two different methods? Carry out a hypothesis test using a significance level of 0.05.
d. Is there convincing evidence that the proportion who make a donation after receiving an email is smaller than the proportion who make a donation after receiving a text message? Carry out a hypothesis test using a significance level of 0.10.
Answer:
IT SAYS YOU IN COLLEGE SOOO YOU SHOULD BE ABLE TO ANSWER IT YOUR SELF
Step-by-step explanation:
Brittany Monroe is a legal secretary. Her biweekly salary is $1,650.00 what is her annual salary?
Answer:
$42,900 a year
Step-by-step explanation:
so there are 26 bi-weeks in a year. (fun fact)
you take $1,650 and multiply that biweekly to get her annual salary.
1650*26=42,900
Tell the measure of the angles In degrees 1/4
Answer:
so 1/4 of a circle is 90 degrees 1/4 is equal to 90 over 360 C it's 90 parts of 360. so here we go with this one. this angle is 20 degrees remember that's 90 alright the square one and this little part would be 20 degrees each angle appears wider as the Rays get longer.
Step-by-step explanation:
Let me know if this help's you lol :)
Please open the image and help me
1.
Looks like
[tex]y=2\sqrt[3]{x}+\dfrac1{x^2}+\pi[/tex]
Write [tex]\sqrt[3]{x}[/tex] as a fractional power, [tex]x^{1/3}[/tex]. This makes it more obvious that the power rule should be used here.
[tex]y'=(2x^{1/3})'+(x^{-2})'+\pi'[/tex]
[tex]y'=\dfrac23x^{-2/3}-2x^{-3}[/tex]
[tex]y'=\dfrac2{3\sqrt[3]{x^2}}-\dfrac2{x^3}[/tex]
2.
[tex]y=(\sin(2x)+\tan(3x))^e[/tex]
Power and chain rule:
[tex]y'=\left((\sin(2x)+\tan(3x))^e\right)'[/tex]
[tex]y'=e(\sin(2x)+\tan(3x))^{e-1}(\sin(2x)+\tan(3x))'[/tex]
[tex]y'=e(\sin(2x)+\tan(3x))^{e-1}(\cos(2x)(2x)'+\sec^2(3x)(3x)')[/tex]
[tex]y'=e(\sin(2x)+\tan(3x))^{e-1}(2\cos(2x)+3\sec^2(3x))[/tex]
Which values of the set {4, 5, 6, 7, 8} make the inequality 27≥5x true?
Answer:
4 &5
Step-by-step explanation:
5*4 = 20 which is less than 27. 5*5 = 25 which is less than 27.
Hope this helps.
Find the sum of the first 70 terms of the sequence -6, -3,0,3,6,
Answer:
The sum of the first 70 terms of the sequence [tex]-6, -3,0,3,6, ...[/tex] is 6825.
Step-by-step explanation:
A sequence is a set of numbers that are in order.
In an Arithmetic Sequence the difference between one term and the next is a constant.
[tex]-6, -3,0,3,6, ...[/tex] This sequence has a difference of 3 between each number.
The sum of an arithmetic series is found by multiplying the number of terms times the average of the first and last terms.
[tex]S_n=\frac{n}{2}(2a_1+(n-1)d)[/tex]
where [tex]n[/tex] = the number of terms, [tex]a_1[/tex] = the first term, and [tex]d[/tex] = the common difference.
For our arithmetic sequence, the values of a, d and n are:
[tex]a_1 =-6[/tex][tex]d=3[/tex][tex]n = 70[/tex]So:
[tex]S_{70}=\frac{70}{2}(2(-6)+(70-1)3)\\\\S_{70}=35\left(3\left(70-1\right)-2\cdot \:6\right)=35\left(207-12\right)=35\cdot \:195)=6825[/tex]
What is the theoretical probability of rolling two dice and getting an odd number on both of them?
Answer:
25%
Step-by-step explanation:
I'm not great at probability but the chances of rolling an odd number on one dice is 50%, so you should have to multiply 0.5 * 0.5 to get 0.25, or a percentage of 25%. Hope this helps :)
A 5000-seat theater has tickets for sale at $28 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $153 comma 200?
Answer:
Let's denote:
x: number of ticket 28$
y: number of ticket 40$
Then, we have:
x + y =5000
28x + 40y = 153200
=> 28(5000 - y) + 40y = 153200
=> 12y = 153200 - 140000
=> 12y =13200
=> y = 1100 (ticket 40$)
=> x = 5000 - 1100 = 3900 (ticket 28$)
-7 2/3 +(-5 I/2) + 8 3/4=
Answer:-53/12
Step-by-step explanation:
-7 2/3+(-5 1/2)+8 3/4
-7 2/3-5 1/2+8 3/4
-23/3 - 11/2 + 35/4
(4x-23 - 6x11 + 3x35)/12
(-92-66+105)/12=-53/12
at the dade county fair, the williams family bought 6 burgers and 4 gatorades for $14.10. the jackson family bought 3 burgers and 4 gatorades for $9.15.find the price of a burger and the price of a gatorade sn: i need help like really fast
Answer:
The cost of a burger is $1.65 and the cost of a gatorade is $1.05.
Step-by-step explanation:
We can solve this question using a system of equations.
I am going to say that:
x is the price of a burger.
y is the price of a gatorade.
6 burgers and 4 gatorades for $14.10
This means that [tex]6x + 4y = 14.10[/tex]
3 burgers and 4 gatorades for $9.15.
This means that [tex]3x + 4y = 9.15[/tex]
Will write 4y as a function of x.
[tex]4y = 9.15 - 3x[/tex]
Replacing in the first equation:
[tex]6x + 4y = 14.10[/tex]
[tex]6x + 9.15 - 3x = 14.10[/tex]
[tex]3x = 4.95[/tex]
[tex]x = \frac{4.95}{3}[/tex]
[tex]x = 1.65[/tex]
And
[tex]4y = 9.15 - 3x[/tex]
[tex]4y = 9.15 - 3*1.65[/tex]
[tex]4y = 4.2[/tex]
[tex]y = \frac{4.2}{4}[/tex]
[tex]y = 1.05[/tex]
The cost of a burger is $1.65 and the cost of a gatorade is $1.05.
What is the volume of this rectangular prism?(HURRY)
Answer:
295.2
Step-by-step explanation:
Answer:295.2 cm^3
Step-by-step explanation:
Length=L=15cm
Width=w=4.1cm
Height=h=4.8cm
volume of rectangular prism=L x w x h
Volume=15x4.1x4.8
Volume=295.2 cm^3
