Answer:
2×3×5
Step-by-step explanation:
1st expression : 2×2×3×5
2nd expression :2×3×3×5
Common are: 2 3 and 5
Hence,Common factor is 2×3×5
Make me the brainest.
A carpenter purchased 50 ft of redwood and 80 ft of pine for a total cost of $277. A second purchase, at the same prices, included 90 ft of redwood and 60 ft of pine for a total cost of $381. Find the cost per foot of redwood and of pine.
Answer:
Let R = cost per foot of redwood, and
let P = cost per foot of pine.
The 1st sentence gives us 60 ft * R + 90 ft * P = $303, and
the 2nd sentence gives us 90 ft * R + 60 ft * P = $357.
So this is two equations and two unknowns, so we should be able to solve these.
Solve the first equation for P: 60 ft * R + 90 ft * P = $303
Subtract 60 ft * R from both sides of the equation: 90 ft * P = $303 - 60 ft * R
Now divide both sides of the equation by 90 ft: P = ($303 - 60 ft * R) / 90 ft = $101 / 30 ft - 2/3 * R
Next, substitute P into the second equation: 90 ft * R + 60 ft * P = $357
so we then have 90 ft * R + 60 ft * [$101 / 30 ft - 2/3 * R] = $357.
Now solve for R (remember, parentheses, exponents, multiplication and division, addition and subtraction):
90 ft * R + [$202 - 40 ft * R] = 50 ft * R + $202 = $357, or 50 ft * R = $155; so R = $155 / 50 ft = $3.10 / ft.
Now we can substitute this value for R into the first equation and solve for P: 60 ft * R + 90 ft * P = $303
so we then have 60 ft * $3.10 / ft + 90 ft * P = $303, or $186 + 90 ft * P = $303.
Subtracting $186 from both sides of the equation, and then dividing by 90 ft, we have P = $1.30 / ft
So P = $1.30/ft, and R = $3.10/ft.
To check this answer, plug both into the second equation:
90 ft * R + 60 ft * P = $357
90 ft * $3.10/ft + 60 ft * $1.30/ft = $279 + $78 = $357
Find h(3) using the graph
Answer:
h(3) = 2
Step-by-step explanation:
h(3) -- "h of 3" -- is asking for the value of the function at x = 3. Go to 3 on the x-axis, then go up to the graph. Look at the y-coordinate of the point (see the attached image).
PLEASE IM BEGGING!!!
The questions is: Find the perimeter and the Area of a Trapezoid
Answer:
Step-by-step explanation:
P = 65.4
not sure about area Sorry
Triangle B is the same shape as Triangle A with a scale factor of ſ. That means each side length is the side length of Triangle A. The perimeter of Triangle B is 30 cm.
Use the diagrams to help you write an equation to find the side lengths of Triangle A.
Answer:
that description is already wrong. you must have mistyped something here. please read your own problem description again and then try again. if each side length of triangle B is the side length of triangle A, then they do not only share the same shape (= angles), but they are identical, and the scale factor is simply 1.
I think what you mean is that every side length of B correlates to the side lengths of A by the factor f.
Step-by-step explanation:
what that means :
side a of A = f × side a of B
side b of A = f x side b of B
side c of A = f x side c of B
perimeter of A = f x perimeter of B
for any more details there has to be more information.
Find the equation of the line passing through (2, -1) and parallel to
Y=-3x - 1.
Mr. Rawlins graded 11 students' tests with the following results. 88, 76, 81, 92, 95, 65, 77, 86, 90, 88, 83 A box and whisker plot of these scores would show that 25% of the students earned a score greater than or equal to what number?
Answer:
90
Step-by-step explanation:
min is 65
median is 86
quartile 1 is 77
quartile 3 is 90
max is 95
highest 25% of data resides between quartile 3 and max
A crate is being lifted into a truck. If it is moved with a 2470 N force and 3650 J of work is done, then how far is the crate being lifted?
Answer:
3650
Step-by-step explanation:
Yes im doingbthis foe pointa
Stove for x.Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
take 26 degree as reference angle
using cos rule
cos 26=adjacent/hypotenuse
0.89=x/69
0.89*69=x
61.41=x
61.4=x
aaaaaaaaaaaasaaaaaaaaaaaaa
In a grocery store, a $12 case of soda is labeled, "Get a 20% discount." What is the discount? What is the sale price of the case of soda?
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If the cost to fill the pool is $2.55 per cubic foot, how much will it cost to fill the pool?
It will cost $_____ to fill the pool.
Answer: $1346.40
Step-by-step explanation:
Volume of the pool is:
[tex](6)(8)(8)+\frac{1}{2}(6)(8)(6)=528[/tex]
This has a cost of [tex](528)(2.55)=\boxed{\$1346.40}[/tex]
The volume of the pool will be 528 cubic feet. Then the cost to fill the pool will be $1,346.4.
What is the volume of the prism?Let the prism with A is the base area and a height of H. Then the volume of the prism is given as
V = A × H
Then the volume of the pool will be
V = [(6 × 8) + (1/2 × 6 × 6)] × 8
V = (48 + 18) × 8
V = 66 × 18
V = 528 cubic feet
Then the cost to fill the pool will be
C = $2.55 × 528
C = $1,346.4
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Help please! I have 35 minutes left
Answer:
1. Arc BC = 78°
2. Arc ABC = 180°
3. Arc ADB = 258°
4. Arc EC = 102°
Step-by-step explanation:
Question 1 explanation: Since ∠AFE and ∠CFB are vertical angles, that means their angle measure is equal, so Arc BC has an angle measure of 78°.
Question 2 explanation: Because AC is the diameter of circle F, this means that the angle measure of Arc ABC is 180°.
Question 3 explanation: Since the angle measure of AC is 180° and ∠AFE and ∠EFD are 78° and 54° respectively, that means Arc DFC has an angle measure of 48°. Because you already know ∠CFB is 78°, that means Arc ADB has an angle measure of 258°.
Question 4 explanation: You already know Arc DFC is 48°, so Arc EC has an angle measure of 102°.
The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formla represents the volume of the pyramid?
Please help me fast i need help
Answer:
minimum- 19
first quartile - 26.5
median - 29
third quartile - 31
maximum - 40
Step-by-step explanation:
Kerry groomed 15 cats in 10 hours and watson groomed 10 cats in 8 hours
Answer:
What's the question?
Step-by-step explanation:
Answer:
Kerry groomed more cats per hour and is faster.
Step-by-step explanation:
Kerry groomed 1.5 cats an hour and Watson groomed 1.25 cats per hour.
A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 50 lawyers selected from the city reveals a mean annual salary of $ 112000, Assume that σ-$16 100, and that the test is to be made at the 2% significance level What are the critical values of z?
2.33 and 2.33
2.05 and 2.05
-1.645 and 1.645
-1.28 and 1.28
What is the value of the test statistic, z, rounded to three decimal places?
What is the p-value for this hypothesis test, rounded to four decimal places?
Should you reject or fail to reject the null hypothesis in this test?
Solution :
This is the two tailed test.
The null hypothesis and the alternate hypothesis is as :
Null hypothesis is [tex]$H_0:\mu=110000$[/tex]
Alternate hypothesis is [tex]$H_0:\mu \neq110000$[/tex]
[tex]$\overline x = 112000, \ \mu = 110000, \sigma = 16100, n = 50, \alpha = 0.02$[/tex]
Therefore, the critical value of z is :
[tex]$z_{\alpha} = -2.33 \text{ and}\ 2.33$[/tex]
Now the test statics is :
[tex]$z=\frac{\frac{(\overline x - \mu)}{\sigma}}{\sqrt n}$[/tex]
[tex]$z=\frac{\frac{(112000-110000)}{16100}}{\sqrt {50}}$[/tex]
[tex]$z=0.87$[/tex]
The test statics is 0.878
We see that it is a right tailed test.
[tex]$P(z > 0.878)=1-P(z<0.878) = 1 - 0.81 = 0.19$[/tex]
[tex]$P- \text{value}= \ 2 \times 0.19$[/tex]
= 0.3800
Thus , P-value > α
So we fail to reject the null hypothesis.
A garden hose sprays 24 gallons of water in 1 minute. The ratio of pints to gallons is 8 to 1. How many pints of water does the garden hose spray in 1 minute?
Answer:
24 gallons
Hope this helps! :)
Answer: 192
Step-by-step explanation:
So we know the hose sprays 24 gallons of water a minute. We also know that 8 pints equal a gallon. So to figure out how many pints are in one minute, we multiply 8 x 24, since we have 24 gallons a minute and 8 pints equal a gallon. This equals 192 pints a minute.
I NEED HELP ASAP!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
You are given the linear regression equation as y = -.36x + 12.6, where y is the wind chill and x is the wind speed. We are being asked for the wind chill when the wind speed is 22; therefore, we are being asked to plug in 22 for x and solve for y:
y = -.36(22) + 12.6 and
y = -7.92 + 12.6 so
y = 4.68F
A polynomial function has a root of -3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?
Answer:
see uploaded image
Step-by-step explanation: 5 30 10 04
x(x+3)²(x-1)(x-3)²
I attached my guess, since I don't see any graphs.
NOTE the x axis scale change on my submission.
Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.
What is a polynomial function?A polynomial is an equation with many terms whose leading term is the highest exponent known as a degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.
This polynomial has roots -3, 0, 1, and 3. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or if the simple touch it and bounces back? The even or odd multiplicity - how many times the root occurs.
In this polynomial:
Root -3 has an even multiplicity of 2 so it only touches and does not cross through.
Root 0 has an odd multiplicity of 1 so crosses through.
Root 1 has an odd multiplicity of 1 so crosses through.
Root 3 has an even multiplicity of 3 so it only touches and does not cross through.
Knowing this, only the first and second graphs are possible answers.
Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends and points down. All even degree graphs will have this shape.
Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.
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How many proper subsets does the set T = {i, c, j, e} have?
What kind of angle is this?
>) obtuse angle
acute angle
straight angle
right angle
Done
My Progress
Answer:
Acute
Step-by-step explanation:
An obtuse angle is wider and more open than 90 degrees. acute angles are smaller than 90 degrees. Think of it like a book. If it looks like is half way open, it is acute. If it looks like it is almost completely open, it is obtuse. A right angle is 2 lines that make a 90 degree angle. Shown Below.
I
I <-------Right angle
I
I ___________
Answer:
acute angle
Step-by-step explanation:
a straight angle is 180 degrees (a straight line) so its not a straight angle
a right angle has a 90 degree, this does not so its not a right angle
An obtuse angle has a measurement greater than 90 degrees, this does not,
so via process of elimination we know this is an acute angle
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 4 inches? (5 points) 6 inches 8 inches 12 inches 20 inches
9514 1404 393
Answer:
12 inches
Step-by-step explanation:
The area is given by the formula ...
A = 1/2bh
Fill in the given values and solve for the height.
24 in² = 1/2(4 in)h
h = (24 in²)/(2 in) = 12 in
The height of the triangle is 12 inches.
Answer:
12 inches
Step-by-step explanation:
Area = [tex]\frac{1}{2}bh[/tex]
24 = [tex]\frac{1}{2} * 4 * h[/tex]
24 = 2h
h = 12 inches
arrange the matrices in increasing order of their determinant values.
Answer:
Step-by-step explanation:
The order of the matrices in increasing order of their determinant values will be Third Matrix <Fourth Matrix <Fiftyh Matrix <First Matrix <Second Matrix <Sixth Matrix.
What is Determinant ?The determinant is defined as a scalar value which is associated with the square matrix. If X is a matrix, then the determinant of a matrix is represented by |X| or det (X).
The determinant of the matrices are as follows
1. -10
2. 17
3.-78
4.-30
5. -18
6. 23
Therefore the order of the matrices will be
Third Matrix <Fourth Matrix <Fiftyh Matrix <First Matrix <Second Matrix <Sixth Matrix
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The center of a circle is at (4,-3) and it’s radius is 3 units, which point lie on the circle
Answer:
Any set of (x , y) whose distance from (4, -3) is 3 units lies on the circle.
Step-by-step explanation:
To find the distance , use the formula
[tex]distance = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}[/tex]
If distance < 3, (x, y) lies inside the circle.
If distance > 3, (x, y) lies outside the circle.
If distance = 3 (x, y) lies on the circle.
Logan is birdwatching at the coast. He records each bird he sees. herons 2 egrets 7 vultures 2 gulls 3 Considering this data, how many of the next 20 birds Logan sees would you expect to be egrets?
Answer: 10
Step-by-step explanation: First, write the experimental probability as a fraction in simplest form.
P(egret)
=
egrets
total
=
7
2+7+2+3
=
7
14
=
1
2
The experimental probability is
1
2
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
1
2
=
n
20
1
2
(220)
=
n
20
(220) Multiply both sides by (220)
120
= 2n Simplify
20
= 2n Simplify
10
= n Divide both sides by 2
You would expect to see 10 egrets out of the next 20 birds.
The solution is, : 10 out of the next 20 birds Logan sees would you expect to be egrets.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
First, write the experimental probability as a fraction in simplest form.
P(egret)=egrets
total
=7
2+7+2+3=
7/14=1/2
The experimental probability is
1/2
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
1/2=n20
1/2
(220)=n20
(220) Multiply both sides by (220)
120 = 2n Simplify
20 = 2n Simplify
10 = n [Divide both sides by 2]
You would expect to see 10 egrets out of the next 20 birds.
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What is the value of x?
Answer:I cant see anything
Step-by-step explanation: laptop is too cracked
let u=(5 -12) and c=-3 what is cu?
a)39
b)-39
c)21
d)51
Answer:
C) 21
Step-by-step explanation:
5-12=-7
cu=(-3)(-7)=21
7. An electrician charges according to the equation C = 75n + 60, where C represents the total charge, in dollars, for a house call, and n represents the time, in hours that the job takes.
Identify the slope and the C-intercept and explain what each one means.
How much money would a 2 h house call cost?
How many hours did the job take if the total charge was $435?
Answer:
435555
Step-by-step explanation:
331
The box above is 15 centimeters long,
4 centimeters wide, and 3 centimeters tall. What is the length of the diagonal s of the bottom side?
O:44 cm
O:14.5 cm
O :15.5 cm
O :19 cm
Answer:
It should be b(14.5), or c
Step-by-step explanation:if you think about it its like the same length for the top of the box
Please look at the image
Answer: ok i did :)
Step-by-step explanation: how are you?
A tank is 20% full contains 500 gallons of water. Find the maximum capacity of the water tank?PLease HELP ASAP
Answer:
Step-by-step explanation:
We can solve this easily with proportions. If the tank is 20% full and has 500 gallons in it, when it is 100% full, it will have a proportional amount of water in it:
[tex]\frac{20}{500}=\frac{100}{x}[/tex] where the percentages are on the top and the number of gallons is on the bottom of those ratios.
Cross multiply to solve for x:
20x = 50000 so
x = 2500 gallons, max capacity