Please help, brainliest for correct answer
Answer:
m<2=60
Step-by-step explanation:
52+68=120+60=180
Question 11. What is the product of 1.6 x 10- and 3.2 x 10' A. 5.12 x 10-4 B. 5.12 x 10 C.5.12 x 10 D. 5.12 x 104 please help will mark as brallinat
Answer:
A- [tex]5.12*10^{-4}[/tex]
Step-by-step explanation:
1.6* 3.2
add the exponents so 10 to the -4
The graph shows the distance in miles, d, a car travels in hours. Explain why the graph does or does not represent a proportional relationship between the variables d and t.
Answer:
The graph shows a proportional relationship because t=50, and that pattern follows.
Step-by-step explanation:
The graph shows a proportional relationship because t=50, and that pattern follows.
The graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.
What is the speed of a body?The speed of a body is the rate at which it covers the total distance in the time taken. The speed of the body is given as,
[tex]s=\dfrac{d}{t}[/tex]
Here, (d) is the distance travelled by the body and (t) is the time taken by the body to cover that distance.
The graph shows the distance in miles, d, a car travels in hours. Rewrite the above formula, considering it for the car,
[tex]s=\dfrac{d}{t}\\t\times s={d}[/tex]
In this formula, distance in miles, d, is directly proportional to the time taken by car in hours.
It is because as the car moves, the time start to pass and so the distance car start to cover the distance. In more time, the car will cover more distance with same speed.
Thus, the graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.
Learn more about the speed here:
https://brainly.com/question/359790
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4) You randomly select one card from a 52-card deck. Find the probability of selecting the 6 of hearts or the ace of diamonds.
Answer:
1/26
Step-by-step explanation:
There is only one 6 of hearts and only one ace of diamonds.
The probability of selecting the 6 of hearts is thus 1/52, and that of selecting the ace of diamonds is also 1/52.
The probability of selecting the 6 of hearts or the ace of diamonds is the SUM of these two results: 1/52 + 1/52 = 2/52 = 1/26.
Find the total surface area. Round to the nearest hundredth if necessary.
Answer:
166
Step-by-step explanation:
multiply the 6 by 2 and then multiply 13 by 10
to get 166
Resale Value Garland Mills purchased a certain piece of machinery 2 years ago for $500,000. Its present resale value is $420,000. Assuming that the machine's resale value decreases exponentially, what will it be (in dollars) 4 years from now? (Round your answer to the nearest dollar.)
Answer:
260,000
Step-by-step explanation:
The value decreases by 40,000 per year (500000-42000/2 years) the value will decrease by 240000 in six (4 years plus 2 years already passed) years. 6 x 40,000 =240000
So, the value should be 260,000 (500000-240000)
Or
year 1 500000-40000=460000
year 2 460000-40000=420000
year 3 420000-40000=380000
year 4 380000-40000=340000
year 5 340000-40000=300000
year 6 300000-40000=260000
The machine's resale value Garland Mills purchased in 4 years from now will be; $353,049
What is the future value amount?
We are told that the machines present resale value is $420000. Now formula for future value is;
Future value = present value * exp(cx)
Thus;
$420,000 = $500,000 * exp(2c)
420000/500000 = exp(4c)
2c = In(420000/500000)
c = -0.087
Future value = present value * exp(cx)
Future value = $500,000 * exp(-0.087 * 4)
Future value = $353,049
Therefore, the machine's resale value in 4 years from now will be $353,049
Read more about future value amount at; https://brainly.com/question/13961729
Rewrite the Cartesian equation y=-3 as a polar equation.
r
sin
θ
=
−
3
Explanation:
Imagine we have a point
P
with Rectangular (also called Cartesian) coordinates
(
x
,
y
)
and Polar coordinates
(
r
,
θ
)
.
The following diagram will help us visualise the situation better:
https://keisan.casio.com/exec/system/1223526375
https://keisan.casio.com/exec/system/1223526375
We can see that a right triangle is formed with sides
x
,
y
and
r
, as well as an angle
θ
.
We have to find the relation between the Cartesian and Polar coordinates, respectively.
By Pythagora's theorem, we get the result
r
2
=
x
2
+
y
2
The only properties we can say about
θ
are its trigonometric functions:
sin
θ
=
y
/
r
⇒
y
=
r
sin
θ
cos
θ
=
x
/
r
⇒
x
=
r
cos
θ
So we have the following relations:
⎧
⎪
⎨
⎪
⎩
r
2
=
x
2
+
y
2
y
=
r
sin
θ
x
=
r
cos
θ
Now, we can see that saying
y
=
−
3
in the Rectangular system is equivalent to say
r
sin
θ
=
−
3
Answer link
Jim G.
May 19, 2018
r
=
−
3
sin
θ
Explanation:
to convert from
cartesian to polar
∙
x
x
=
r
cos
θ
and
y
=
r
sin
θ
⇒
r
sin
θ
=
−
3
⇒
r
=
−
3
sin
θ
Can someone pls help me
Answer:
I rhink the answer would be 273°
Step-by-step explanation:
57+180=237°
Answer:
∠ BAC = 28.5°
Step-by-step explanation:
∠ AOB = 180° - 57° = 123° ( straight angle )
OA and OB are congruent ( radii of the circle ) , then Δ AOB is isosceles with base angles congruent, that is
∠ BAC = ∠ ABO , then
∠ BAC = [tex]\frac{180-123}{2}[/tex] = [tex]\frac{57}{2}[/tex] = 28.5°
A doughnut shop wants to determine if there is a difference in donut sales at different times of the day and for different types of doughnuts. They are open in the morning, afternoon, and night, and offer the following flavors: vanilla, chocolate, red velvet, and marbled. There were a total of 48 sales recorded. The shop conducted a two-way ANOVA test and found an F test statistic for Flavor of 14.87. What would be the numerator degree of freedom for the F test statistic to determine if the factor flavor was significant
Solution :
Let
[tex]$k_1$[/tex] = number of levels for the factors 'flavors' = 4
(4 levels vanilla, chocolate, red velvet and marbled)
The degree of freedom for the factor 'flavors' = [tex]$k_1$[/tex] - 1
= 4 - 1
= 3
Now defining the F test statistics for testing the significance of the factors, 'flavors' :
F test statics = [tex]$=\frac{Ms\text{ (factor falvor)}}{Ms \text{ (errors)}}$[/tex] , Ms = mean square
where F = [tex]$F_{k_1-1}$[/tex], error df.
Thus the numerator degrees of the freedom for the F test statistics to determine if the factor flavor was significant is = [tex]$k_1$[/tex] - 1
= 4 - 1
= 3
solve (x – 5)^2 = 17
Answer:
x = 5 ± √17
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsMultiple RootsStep-by-step explanation:
Step 1: Define
(x - 5)² = 17
Step 2: Solve for x
[Equality Property] Square root both sides: x - 5 = ±√17[Addition Property of Equality] Add 5 on both sides: x = 5 ± √17it took bryan one hour to ride 6 1/4 miles on his bike. how far will bryan be able to ride in 3 1/2 hours?
A 21 7/8
B 9 3/4
C 5 1/2
D 9 1/4
Multiply 15 by 9 then divide by 2 fraction
Answer:
15x9 is 130 but, what u mean by divided by 2 fraction?
Step-by-step explanation:
135/ 2 this is correct unless you want a mixed fraction which is 67 and 1/2
ayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches? A rectangular prism has a length of 8 inches, a width of 2 inches, and a height of 4 inches. Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height. Inches cubed
Answer:
[tex]64(in)^{3} [/tex]
Step-by-step explanation:
The volume of a box is equal to the length l times the width w times the height h.
[tex](lenght) \times (width) \times (height)[/tex]
Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.
[tex]8 \times 2 \times 4[/tex]
Multiply 8 by 2.
[tex]16 \times 4[/tex]
Multiply 16 by 4.
[tex]64 {in}^{3} [/tex]
Hence, the volume of the rectangle prism is 64(in)³.
Answer:
64 in³Step-by-step explanation:
Given dimensions:
l = 8 inw = 2 inh = 4 inVolume of the prism is:
V = lwhV = 8*2*4 = 64 in³The standard deviation for a set of data with mean 25 and variance 16 is?
Answer:
Standard deviation = 4
Step-by-step explanation:
Given the following data;
Mean = 25
Variance = 16
To find the standard deviation;
Mathematically, standard deviation is given by the formula;
[tex]Standard \; deviation = \sqrt{variance}[/tex]
Substituting into the formula, we have;
[tex]Standard \; deviation = \sqrt{16}[/tex]
Standard deviation = 4
Tivo families planned to go to the zoo. The entry ticket for one adult was $7.31 and
the entry ticket for one child was $5.66. There were two adults in the group. The
families intend to spend no more than $46.00. What is the greatest number of child
tickets that can be purchased?
Answer:
5 children
Step-by-step explanation:
Solve
$7.31 x2 = $14.62
$46 - 14.62 =$32
5.66 divided by 5 = 28.3
5.66 divided by 6 = 33
$33 is bigger than $31
Therefore, the greatest number of children tickets can be purchased is only 5.
Why is 6P4 = 360 but 6C4 = 15?
Short answer (I write nPr = P(n, r) and nCr = C(n, r) ):
P (6, 4) = 6! / (6 - 4)! = 6! / 2! = 720 / 2 = 360
C (6, 4) = P (6, 4) / 4! = 6! / (4! (6 - 4)!) = 360 / 24 = 15
Long answer:
P(n, r) counts the number of permutations of n objects taken r at a time, given by
P(n, r) = n ! / (n - r )!
A permutation is a unique arrangement of objects such that the order in which they are arranged is taken into account. For example, if the objects in question are the numbers in the set {1, 2, 3}, then
• there are 3! = 6 total possible permutations if we take all 3 numbers at once:
123, 132, 213, 231, 312, 321
• there are 3!/(3-2)! = 3!/1! = 6 total permutations if we only take 2 numbers at once:
12, 13, 21, 23, 31, 32
• there are 3!/(3-1)! = 3!/2! = 3 total permutations if we take only 1 number at a time:
1, 2, 3
• and there is 3!/(3-0)! = 3!/3! = 1 way of permuting the 3 numbers without taking any of them:
(the permutation itself is just empty space)
By contrast, C(n, r) counts the combinations of n items taken r at a time, given by
C(n, r) = P(n, r) / r !
A combination is like a permutation, but the order of the objects doesn't matter. Continuing with the previous example of arrangements of the numbers from {1, 2, 3}, we have
• 3! / (3! (3-3)!) = 1 combination taking all 3 numbers at once:
123
(the other 5 permutations listed earlier are made up of the same numbers, so we consider them duplicates)
• 3! / (2! (3-2)!) = 3 combinations taking only 2 numbers at once:
12, 13, 23
• 3! / (1! (3-1)!) = 3 combinations taking only 1 number:
1, 2, 3
• 3! / (0! (3-0)!) = 1 combination taking none of them:
(again, empty space)
The main point is that the order of objects is considered across permutations, while it's ignored across combinations.
What are the outliers???
It would take ___ hours to drive 240 miles from Boston to New York, if one drives at a constant speed of 40 mph.
Answer:
6 hours.
Step-by-step explanation:
To find how many hours it would take to drive a 240 mile distance at a constant speed of 40 miles per hour, you'd divide 240 by 40 and the result of that is 6.
Answer:
6 hours
Explanation:
240/40= 6
Christopher sold his dinette set for $245 through an online site, which charged him 9% of the selling price as commission. what is the commission?
Answer:
$22.05
Step-by-step explanation:
If a product has a sales commission, then one must divide the commission percent by (100) to convert the percent to a decimal. Then multiply the result by the price of the product to find the amount of money that will be given as a commission.
Applying this knowledge to the given problem, one must divide (9%) by (100) to convert to decimal form,
9% / 100 = 0.09
Now multiply the result by the price of the product (245) to find the amount given away in commission,
0.09 * 245 = 22.05
The slope of a line is 0, and the y-intercept is 6. What is the equation written in slope intercept form.
Answer:
y=0x+6
Step-by-step explanation:
slope intercept form is: y=mx+b
find the area of the shade sector of the circle
Step-by-step explanation:
We need to find the area of the shaded region. We see that the region next to that has a central angle of 120°. Also we know that angle in a straight line is 180° . So the measure of central angle of that shaded region will be 180° - 120° = 60° . Now we can use the formula of area of sector to find out the area of the shaded region.
[tex]\tt\to Area = \dfrac{\Theta}{360^o}\times \pi r^2 \\\\\tt\to Area = \dfrac{60^o}{360^o}\times \pi (8cm)^2 \\\\\tt\to Area =\dfrac{\pi \times 64}{6}cm^2\\\\\to\boxed{\orange{\tt Area_{(Shaded)}= 10.66\pi cm^2}}[/tex]
The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students. Recently, the Student Monitor reported that the average amount of time spent per week on the Internet was 19.0 hours. You suspect that this amount is far too small for your campus and plan a survey. You feel that a reasonable estimate of the standard deviation is 10.0 hours. What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence
Answer:
A sample size of 385 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
You feel that a reasonable estimate of the standard deviation is 10.0 hours.
This means that [tex]\sigma = 10[/tex]
What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?
A sample size of n is needed. n is found when M = 1. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1 = 1.96\frac{10}{\sqrt{n}}[/tex]
[tex]\sqrt{n} = 1.96*10[/tex]
[tex](\sqrt{n})^2 = (1.96*10)^2[/tex]
[tex]n = 384.16[/tex]
Rounding up:
A sample size of 385 is needed.
I need work shown as well
Answer:
Step-by-step explanation:
the area of the squared is 5 * 5 = 25
the area of the triangle is 1/2*base*height = 1/2*2*5= 5
the area of the circle is [tex]\pi[/tex][tex]r^{2}[/tex] = [tex]\pi[/tex][tex]2.5^{2}[/tex] = 19.625
now add the pieces up for the total
25+5+19.625 = 49.625 [tex]in^{2}[/tex]
:)
First, find the area of the semi-circle.
A= pi*radius squared
Find your radius. The diameter is 5, half of that is 2.5
Input into the formula
A= pi*2.5^2
=3.14*6.25
=19.625 in^2
You can round that to about 19.6 inches.
Find the area of the square
A=s^2
= 5^2
= 25 in^2
Find the area of the triangle.
A= b*h/2
= 2*5/2
= 10/2
= 5 in^2
Add it all up.
19.6+ 25 + 5= 49.6
∴ 49.6 in²
Best of luck!
A rocket is launched vertically from the ground with an initial velocity of 64 ft/sec. A) Write a quadratic function h(t) that shows the height, in feet, of the rocket t seconds after it was launched. B) Graph h (t) on the coordinate plane. C) Use your graph from Part 3 (b) to determine the rocket's maximum height, the amount of time it took to reach its maximum height, and the amount of time it was in the air. ( Answer options A,B,C) Please don't answer if you don't know how to) Will Mark Brainliest.
The calculated quadratic function for the height of the rocket is "[tex]h = 64t - 16.085t^2[/tex]" and the further calculation of the given points can be defined as follows:
For point A):
Calculation of the quadratic function:Rocket Initial velocity (u) [tex]= 64 \ \frac{feet}{sec}[/tex]
Considering gravity's acceleration of 32.17 feet/sec2
The rocket's height can be expressed as follows:
[tex]h = ut - \frac{1}{2} \times 32.17 \times t^2 \\\\h = 64 - 16.085 \times t^2 \\\\h = 64t - 16.085t^2[/tex]
For point B):
A y-axis indicates its rocket's height in feet, whereas the x-axis represents the duration in seconds.
Please find the attached file.
For point C):
As seen in the graph, after t = 1.989 seconds, the rocket reaches its highest height of 63.662 feet.maximum height = 63.66 feet, time t = 2 seconds. After 3.979 seconds, the rocket's height returned to zero.It would be in the air for 3.979 seconds. The rocket lingered in the air for 4 seconds.
Find out more information about the velocity here:
brainly.com/question/25749514
Zane asks 50 random people in a town of 1,500 whether or not they are registered to vote. 44 out of the 50 are registered. Based on this data how
many people in the town are likely registered to vote?
Answer:
1320
Step-by-step explanation:
i am
There were 16 skittles in a bag there were 3 yellow, 4 red, 2 purple, 6 orange, and 1 green. What is the probability of pulling a red skittle (simplify your answer). The probability of a red is /
What is the slope of the line?
Answer:
1
Step-by-step explanation:
Pls help, I'll give brainlest
Answer:
b
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
When multiplying exponents, you would add the degrees.
A, B, and D's degrees add up to [tex]5^{-2}[/tex] , which is equal to 1/25.
C adds up to [tex]5^{2}[/tex], which is 25, therefore making it C
you decide to go to a star gazing event there are 12 people in the group
Answer:
whts the question??
Step-by-step explanation:
(5^{-8})(5^{-10})=(5
−8
)(5
−10
)=
Answer:
1
3814697265625
Decimal Form:
2.62144 ⋅ 10 / 13
Step-by-step explanation: