Answer:
-2
Step-by-step explanation:
[tex]3x^2 + x -2x^3 -10 \\\\3x^2 + x + (-2)x^3 + (-10)[/tex]
Answer:
-2.
Step-by-step explanation:
-2x^3 is the third degree term.
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
A certain television is advertised as a 90-inch TV (the diagonal length). If the
height of the TV is 63 inches, how wide is the TV? Round to the nearest tenth
of an inch.
Answer: 64.3
Step-by-step explanation:
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
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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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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HELLO CAN SOMEONE HELP ME PLOT THIS POINT? TY :)
It would be at (7,5)
I really need help please!!
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
What are the answer
Answer:
1)556.11 cm²
2)164.05 cm²
3)117.70 cm²
Step-by-step explanation:
1) We have a cylinder and a cone on top of it.
Formula for total surface area of cylinder is;
T.S.A = 2πrh + 2πr²
However, the top is not available for calculation here. Thus, we will use;
TSA = 2πrh + πr²
Thus;
TSA = 2π(5 × 12) + π(5)²
TSA = 455.53 cm²
The top is a cone but it's bottom is not included and so we will use lateral surface area of cone = πrL
L is the slanting height and can be calculated from pythagoras theorem ;
L = √(5² + 4²)
L = √41
Thus;
LSA = π × 5 × √41 = 100.58 cm²
Overall surface area = 455.53 + 100.58. Overall surface area = 556.11 cm²
2) for the box down;
TSA = 2lw + 2lh + 2hw
Since the top face is not used, then
TSA = lw + 2lh + 2hw
TSA = (5 × 5) + 2(5 × 5) + 2(5 × 5)
TSA = 125 cm²
For the prism on top, since the bottom is not included, we will use lateral surface are;. LSA = ½Pl
Where P is perimeter of base and L is slant height.
P = 5 × 4 = 20 cm
Radius is 5/2 = 2.5 and so using pythagoras theorem;
L = √(2.5² + 3²)
L = 3.905 cm
Thus;
LSA = ½ × 20 × 3.905 = 39.05 cm²
Overall surface area = 39.05 + 125 = 164.05 cm²
C) for the box down;
TSA = 2lw + 2lh + 2hw
Since the top face is not used, then
TSA = lw + 2lh + 2hw
TSA = (4 × 4) + 2(4 × 4) + 2(4 × 4)
TSA = 80 cm²
For the half cylinder on top;
Surface area ;
T.S.A = 2πrh + 2πr²
Since half cylinder;
TSA = πrh + πr²
TSA = π((2 × 4) + 2²))
TSA = 37.7 cm²
Overall total surface area = 80 + 37.7 ( 117.70 cm²
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.
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?
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?
find the area of the polygon
Answer:
Finally I can answer omg been trying to answer for a while but that bot was holding me back Lol
Answer: 286
Step-by-step explanation:
25 × 16 = 400 19 × 6 = 114 400 - 114 = 286 therefore 286 is the answer hope that helps!
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
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
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.
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
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
If your car used 19.2 gallons of gas to go 1293.6 miles, how many miles per gallon (mpg) did the car get?
A florist arranged some orchid in bouquets of 20 and some roses in bouquets of 10 . She sells each bouquet of orchid for $25 and each rose bouquet for $30 . She earns $390 . If she sell four times as many orchid bouquets as rose bouquets. How many flowers does she sell all together?
Answer:
The florist sold 270 flowers.
Step-by-step explanation:
Since a florist arranged some orchid in bouquets of 20 and some roses in bouquets of 10, and she sells each bouquet of orchid for $ 25 and each rose bouquet for $ 30, and she earns $ 390, if she sell four times as many orchid bouquets as rose bouquets, to determine how many flowers does she sell all together, the following calculation must be performed:
4 x 25 + 1 x 30 = 130
8 x 25 + 2 x 30 = 260
12 x 25 + 3 x 30 = 390
12 x 20 + 3 x 10 = X
240 + 30 = X
270 = X
Therefore, the florist sold 270 flowers.
How many proper subsets does the set T = {i, c, j, e} have?
HELP! Urgent! PLZ Needed Now!
Answer / Explaination:
An equation that represents this problem is b = 52h.
A linear model that represents this equation would look as such (see below)
To predict how many boxes would be produced after an 8 hour shift, you can look at the graph (see additional attatchement) or substitute 8 in for h in the equation.
b = 52(8)
b = 416
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
Please look at the image
Answer: ok i did :)
Step-by-step explanation: how are you?
What is the value of z?
No links please!!
9514 1404 393
Answer:
z = 14.4
Step-by-step explanation:
The angle bisector divides the sides proportionally.
z/12 = 6/5 . . . . . . . . . write a proportion*
z = 12(6/5) = 72/5 . . . . . multiply by 12
z = 14.4
_____
* We consider the proportion easier to solve if the unknown is in the numerator. Then the solution is found by multiplying the equation by that denominator.
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:
Write a quadratic function h whose zeros are 1 and 4
Answer:
x² - 5x + 4
Step-by-step explanation:
work backwards from knowing zeros to writing factors, then use foil method
(x - 1)(x - 4)
x² - 4x - 1x + 4
x² - 5x + 4
If p = -6, what does p + 4 equal?
Answer:
-2.
Step-by-step explanation:
p + 4 with p being -6 is basically -6 + 4, which equals -2.
Answer:
-2
Step-by-step explanation:
-6 + 4 = -2
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