Answer:
$18
Step-by-step explanation:
Buying the jeans for $27 leaves you with ($60 - $27), or $33.
Buying the shirt for s dollar leaves you with $15. To find s, the price of the shirt, you subtract $15 from $33: $18.
The shirt cost you $18.
Is the following statement true or false? Integration and differentiation are inverse processes. Group of answer choices
True.
Integration is also called anti-differentiation, mathematically its an inverse function of differentiation.
For example, one of the first equalities learned is:
[tex]f(x)=g'(x)\Longleftrightarrow\int g'(x)dx=f(x)[/tex].
Which explains that if you differentiate a function (get its derivative) and then integrate the derivative you will obtain the original function.
Hope this helps.
Hope this was hard enough not to be illogical or simple. 3x=66 Solve for x
Answer: x = 22
Step-by-step explanation: To get x by itself, we divide both sides by 2 and we have x = 22 which is the solution to this equation.
Answer:x=22
Step-by-step explanation:divide 3 by both sides makes x=22
Macy is trying to construct an isosceles triangle. She assigns an angle measurement of 40° to the unique angle of the triangle. She wants the length of the opposite side (the base) to be 6 centimeters. How many isosceles triangles can Macy construct using this information?
Answer:
https://brainly.com/question/8847227
Step-by-step explanation:
Jenna worked 13 hours more than Jose last month. If Jenna worked 9 hours for every 4 hours that Jose worked, how many hours did they each work?
Solve the following equation for X.
3x – 9 = -33
Answer:
-8Option D is the right option
solution,
[tex]3x - 9 = - 33 \\ or \: 3x = - 33 + 9 \\ or \: 3x = - 24 \\ or \: x = \frac{ - 24}{3} \\ x = - 8[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
-8
Step-by-step explanation:
3x-9=-33
transpose 9 to RHS
->3x=-33+9=> 3x=-24
transposing 3 to RHS
=> x=-24÷3
=> x=-8
please answer someone
Answer:
answer C
Step-by-step explanation:
hello
set A is [tex]10^x[/tex]
set B is 1000+50(x-1)
so set A is an exponential function and the values increase at a faster rate than set B
hope this helps
Determine the location and value of the absolute extreme values of f on the given interval, if they exist. f (x )equals2 sine squared x on [0 comma pi ]Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type an exact answer, using pi as needed. Use a comma to separate answers as needed.) A. The absolute maximum is nothing at xequals nothing, but there is no absolute minimum. B. The absolute minimum is nothing at xequals nothing and the absolute maximum is nothing at xequals nothing. C. The absolute minimum is nothing at xequals nothing, but there is no absolute maximum. D. There are no absolute extreme values for f (x )on [0 comma pi ].
Answer:
A. The absolute maximum is nothing at x equals nothing, but there is no absolute minimum.
Step-by-step explanation:
The equation is :
f(x) = 2x2 + x2
The function has not absolute maximum value and it has absolute minimum value 0. The both function has maximum value as nothing.
Find the area of the figure. Round to the nearest tenth if necessary. Use 3.14 for pi . 47.3 units2 41.1 units2 57.1 units2 66.2 units2
Answer:
41.1 units
Step-by-step explanation:
find the area of the triangle
1/2BH
1/2*8*4
4*4=16
find the area half of the circle
pi*R^2
3.14*4^2
3.14*16
50.24/2
^because it is a half circle you divide by 2
25.12+16=41.1
A random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen, resulting in the accompanying data (from "Engineering Properties of Soil," Soil Science, 1998: 93–102).1.10 5.09 0.97 1.59 4.60 0.32 0.55 1.450.14 4.47 1.20 3.50 5.02 4.67 5.22 2.693.98 3.17 3.03 2.21 0.69 4.47 3.31 1.170.76 1.17 1.57 2.62 1.66 2.05The values of the sample mean, sample standard deviation,and (estimated) standard error of the mean are2.481, 1.616, and .295, respectively. Does this data suggestthat the true average percentage of organic matterin such soil is something other than 3%? Carry out atest of the appropriate hypotheses at significance level.10. Would your conclusion be different if a 5 .05 hadbeen used? [Note: A normal probability plot of the datashows an acceptable pattern in light of the reasonablylarge sample size.]
Answer:
We conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.
We conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.
Step-by-step explanation:
We are given a random sample of soil specimens was obtained, and the amount of organic matter (%) in the soil was determined for each specimen;
1.10, 5.09, 0.97, 1.59, 4.60, 0.32, 0.55, 1.45, 0.14, 4.47, 1.20, 3.50, 5.02, 4.67, 5.22, 2.69, 3.98, 3.17, 3.03, 2.21, 0.69, 4.47, 3.31, 1.17, 0.76, 1.17, 1.57, 2.62, 1.66, 2.05.
Let [tex]\mu[/tex] = true average percentage of organic matter
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 3% {means that the true average percentage of organic matter in such soil is 3%}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu \neq[/tex] 3% {means that the true average percentage of organic matter in such soil is something other than 3%}
The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean percentage of organic matter = 2.481%
s = sample standard deviation = 1.616%
n = sample of soil specimens = 30
So, the test statistics = [tex]\frac{2.481-3}{\frac{1.616}{\sqrt{30} } }[/tex] ~ [tex]t_2_9[/tex]
= -1.76
The value of t-test statistics is -1.76.
(a) Now, at 10% level of significance the t table gives a critical value of -1.699 and 1.699 at 29 degrees of freedom for the two-tailed test.
Since the value of our test statistics doesn't lie within the range of critical values of t, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Therefore, we conclude that the true average percentage of organic matter in such soil is something other than 3% at 10% significance level.
(b) Now, at 5% level of significance the t table gives a critical value of -2.045 and 2.045 at 29 degrees of freedom for the two-tailed test.
Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
Therefore, we conclude that the true average percentage of organic matter in such soil is 3% at 5% significance level.
REFERENCE: LESSO
Estimate the difference of 645 and 273.
Answer:
350
Step-by-step explanation:
In this situation it seems like we should be rounding to 50 because the numbers work well that way, and it is nice number commonly unsed in these situaltions. So, 645 rounded to the nearentest 50 would be 650. And 273 rounded to the nerent 50 would be 300. Now if we subtract 300 from 650, (650-300) we will get 350.
Write 0000 using the am/pm clock.
Answer:
12am
Step-by-step explanation:
Answer:
12:00 am or midnight
Step-by-step explanation:
00 00 hrs in 12-hours clock is 12:00 am or 12:00 o'clock midnight.
It is believed that 11% of all Americans are left-handed. In a random sample of 100 students from a particular college with 10123 students, 14 were left-handed. Find a 98% confidence interval for the percentage of all students at this particular college who are left-handed.
Answer:
Step-by-step explanation:
We can calculate this confidence interval using the population proportion calculation. To do this we must find p' and q'
Where p' = 14/100= 0.14 (no of left handed sample promotion)
q' = 1-p' = 1-0.14= 0.86
Since the requested confidence level is CL = 0.98, then α = 1 – CL = 1 – 0.98 = 0.02/2= 0.01, z (0.01) = 2.326
Using p' - z alpha √(p'q'/n) for the lower interval - 0.14-2.326√(0.14*0.86/100)
= -2.186√0.00325
= -2.186*0.057
= 12.46%
Using p' + z alpha √(p'q'/n)
0.14+2.326√(0.14*0.86/100)
= 0.466*0.057
= 26.5%
Thus we estimate with 98% confidence that between 12% and 27% of all Americans are left handed.
Is the sequence arithmetic? If so, how do you know? Given the sequence: 20, 26, 32, 38, . . .
Answer:
yes
Step-by-step explanation:
it is
because difference between each two consecutive terms are equal
26-20=32-26=38-32
for the formula:
20 is the first term.
6 is the difference between each two consecutive terms
so:
[tex]y = 6(x - 1) + 20 \\ y = 6x + 14[/tex]
By about how much will f (x comma y comma z )equalsln StartRoot x squared plus y squared plus z squared EndRoot change if the point Upper P (x comma y comma z )moves from Upper P 0 (6 comma 4 comma 12 )a distance of dsequals0.1 unit in the direction of 3 Bold i plus 6 Bold j minus 2 Bold k?
Answer:
pls format
Step-by-step explanation:
1. Find the value of x
37.5
17
52.5
a. 39.5
b. 75
c. 40
d. 42.5
Answer:
d
Step-by-step explanation:
The segment inside the triangle bisects the angle and divides the opposite sides into segments that are proportional to the other two sides, that is
[tex]\frac{x}{17}[/tex] = [tex]\frac{37.5}{52.5-37.5}[/tex] = [tex]\frac{37.5}{15}[/tex] ( cross- multiply )
15x = 637.5 ( divide both sides by 15 )
x = 42.5 → d
3) BRAINLIEST & 10+ POINTS!!! If a 4 foot blade of a propeller completes 22 revolutions per second, find the angular speed of the blade in radians per second. ~Round your answer to the nearest hundredth. Angular speed = _______________ radians/second
Answer:
44π rads per seconds
Step-by-step explanation:
Already the speed of the 4 foot blade is given as 22 revolutions per sec.
What we have to do is just to convert the 22 revolutions per second to radians.
1 rev = 360°
360° = 2π
So the speed is actually equal to
22 *360 = 7920° per second
Or
22*2π = 44π rad per seconds
What ever way the answers are both same.
Drag each equation to show if it could be a correct first step to solving the equation 2(x+7) =36
Answer:
(2.x) + (2.7) = 36
Step-by-step explanation:
Solving the given equation with the distributive property,
A(B + C) = (A.B) + (A.C)
So that,
2(x+7) = 36
(2.x) + (2.7) = 36
2x + 14 = 36
2x = 36 - 14
2x = 22
x = 11
From the given expressions, the option that is the correct first step to solving this equation is;
(2.x) + (2.7) = 36
Answer:
Here you go
Step-by-step explanation:
19.25 tons equal Lbs
Answer:
38500lbs
Step-by-step explanation:
2000 lbs is one tone
if we have 19.25 tons, we need to multiply 19.25x2000
The answer is 38500 lb
Answer:
38,500 pounds
Step-by-step explanation:
Every ton is 2,000 pounds.
We want to find out how many pounds are in 19.25 tons.
Set up a proportion.
pounds/tons=pounds/tons
2,000 pounds/ 1 ton= x pounds / 19.25 tons
2,000/1= x /19.25
x is being divided by 19.25. The inverse of division is multiplication. Multiply both sides by 19.25.
19.25*2,000/1= x/19.25 *19.25
19.25*2000=x
38,500=x
There are 38,500 pounds in 19.25 tons.
7 + x - 15 = -2.67 solve for x
Answer:
5.33
Step-by-step explanation:
Move your numbers so that they're separate from the variables. You should now have x = -2.67 + 8; x = 5.33
Answer:
x=5.33
Step-by-step explanation:
7+x-15=-2.67
7-15+x=-2.67
Add 7 and -15
-8+x=-2.67
Add 8 on both sides
which equal to 5.33
x=5.33
What type of relationship has his teacher discovered?
Answer: positive correlation likely causal
Step-by-step explanation:
For a large sporting event the broadcasters sold 51 ad slots for a total revenue of $136 million. What was the mean price per ad slot?
Answer:
$2.67 million
Step-by-step explanation:
Average price per slot is found by dividing total price by total slots:
($136 million)/(51 slots) ≈ $2.67 million/slot
The mean price per ad slot was $2.67 million.
In triangle ΔABC, ∠C is a right angle and CD is the altitude to AB . Find the measures of the angles of the ΔCBD and ΔCAD if: Chapter Reference a m∠A = 20°
Answer:
1. ∆CBD: ∠B = 70°; ∠BCD = 20°; ∠ BDC = 90°
2. ∆CDA: ∠ACD = 70°; ∠A = 20°; ∠ ADC = 90°
Step-by-step explanation:
1. ∆DBC
In ∆ABC
∠A + ∠B + ∠C = 180°
20° + ∠B + 90 ° = 180°
∠B + 110 ° = 180°
∠DBC = ∠B = 70°
In ∆CBD
∠BDC = 90°
∠B + ∠BCD + ∠CBD = 180°
70° + ∠BCD + 90 ° = 180°
∠BCD + 160° = 180°
BCD = 20°
2. ∆CAD
∠A + ∠ACD + ∠ADC = 180°
20° + ∠ACD + 90° = 180°
∠ACD + 110° = 180°
∠ACD = 70°
Set up and evaluate the optimization problem. You are constructing a cardboard box from a piece of cardboard with the dimensions 4 m by 8 m. You then cut equal-size squares from each corner so you may fold the edges. What are the dimensions (in m) of the box with the largest volume
Answer:
[tex]Shorter\ side=4-2\times 0.845=2.31\ m\\Longest\ side=8-2\times 0.845=6.31\ m\\Height=0.845\ m[/tex]
Step-by-step explanation:
Given that , dimension of the cardboard is 4 m by 8 m.
Lets the dimensions of the square is x m by x m.
The volume after cutting the equal size of square from all the four corners is given as
[tex]V=x\times (4-2x)\times (8-2x)\\V=x\times (32-16x-8x+4x^2)\\V=x\times (4x^2-24x+32)\\V=4x^3-24x^2+32x\\[/tex]
For the maximum volume
[tex]\dfrac{dV}{dx}=12x^2-48x+32=0\\3x^2-12x+8=0\\[/tex]
For maximum value of volume , the value of x will be 0.845
x= 0.845
Therefore the dimensions will be
[tex]Shorter\ side=4-2\times 0.845=2.31\ m\\Longest\ side=8-2\times 0.845=6.31\ m\\Height=0.845\ m[/tex]
The volume of a shape is the amount of space in the shape.
The dimensions that produce the largest volume are: 2.31 m by 6.31 m by 0.845 m
The dimensions of the cardboard is given as:
[tex]\mathbf{Length = 4m}[/tex]
[tex]\mathbf{Width = 8m}[/tex]
Assume the cut-out is x.
So, the dimension of the box is:
[tex]\mathbf{Length = 4 - 2x}[/tex]
[tex]\mathbf{Width = 8 - 2x}[/tex]
[tex]\mathbf{Height = x}[/tex]
So, the volume of the box is:
[tex]\mathbf{V = (4 - 2x)(8 - 2x)x}[/tex]
Expand
[tex]\mathbf{V = 32x -24x^2 + 4x^3}[/tex]
Differentiate
[tex]\mathbf{V' = 32 -48x + 12x^2}[/tex]
Set to 0
[tex]\mathbf{32 -48x + 12x^2 = 0}[/tex]
Divide through by 4
[tex]\mathbf{8 -12x + 3x^2 = 0}[/tex]
Rewrite as:
[tex]\mathbf{3x^2-12x +8 = 0}[/tex]
Using a calculator, we have:
[tex]\mathbf{x = 0.845,\ 3.155}[/tex]
3.155 is greater than the dimension of the box.
So, we have:
[tex]\mathbf{x = 0.845}[/tex]
Recall that:
[tex]\mathbf{Length = 4 - 2x}[/tex]
[tex]\mathbf{Width = 8 - 2x}[/tex]
[tex]\mathbf{Height = x}[/tex]
So, we have:
[tex]\mathbf{Length = 4 - 2 \times 0.845 = 2.31}[/tex]
[tex]\mathbf{Width = 8 - 2 \times 0.845 = 6.31}[/tex]
[tex]\mathbf{Height = 0.845}[/tex]
Hence, the dimensions that produce the largest volume are: 2.31 m by 6.31 m by 0.845 m
Read more about volumes at:
https://brainly.com/question/15918399
Which is the graph of the equation v- 1 = (-3)?
Step-by-step explanation:
The equation is v-1 = -3
V-1 = -3 add one in both sides v -1 +1 = -3+1 v = -2Here is the graph :
Need some help on this whole unit to be honest but any help with this one ?
answer:
i believe they all are identical
Step-by-step explanation:
i used a website called desmos graphing calculator and typed each one out and this is what it looked like
I travelled at 60km/h and took 2 hours for a certain journey. How long would it have taken me if I had travelled at 50km/h?
Answer:
2 hours and 24 minutes
Step-by-step explanation:
2 hours at 60 km/h means you have travelled 2*60=120 km
120 km at 50 km/h takes 120/50 = 2.4 hours
2.4 hours is 2 hours and 0.4*60 = 24 minutes.
the principal p is borrowed at a simple interest rate r for a period of time t. find the simple interest owed for the use of the money
Answer:
The simple interest is Prt
The simple interest on the money will be $24300
Step-by-step explanation:
The complete question is shown below
The principal P is borrowed at simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year. P=$18,000, r=7.5%, t=18 months
Principal = P
Interest rate = r
Time period = t
simple interest owed for the use of the money will be gotten as below
The percentage of the principal that will be owed per unit period is the rate r
The total rate that it will be involved in this time period will be the product of the rate and the time = r x t = rt
Finally, to know the amount of interest that this rate will result to, we multiply the total rate in the time period by the original principal borrowed
Total interest = Prt
For a simple interest on the principal P = $18,000,
the interest rate = 7.5% = 7.5/100 = 0.075,
time period = 18 months
we assume the interested is calculated on a monthly basis
Simple interest = Prt
==> 18000 x 0.075 x 18 = $24300
Which is the first step in simplifying 4(3x-2)+6x(2-1)
Answer:
4(3x-2)+6x(2x-1)
12x-8+12^2x-6x
12x-6x +12^2x-8
6x+12^2x-8
Answer:
the first step in simplifying 4(3x-2)+6x(2-1) is to do subtract 1 from 2 in the second set of parenthesis. That will get you 4(3x-2)+6x(1)
The equation completely simplified is 18x-8
-look in the step-by-step explanation if you want to know all the steps to simplifyinh the equation
Step-by-step explanation:
Now if you want to know the rest here it is:
Then use the Distributive Property:
-distribute the 4 into (3x-2) to get 12x-8
-then distribut the 6x into (1) to get 6x
Your equation is now 12x-8+6x
Finally, add 12x and 6x to simplify the equation as much as you can
you get 18x-8 as you final, most simplified answer
Which could be the side lengths of a triangle? (A) 2,2,4 (B) 3,4,7 (C) 4,5,8 (D) 5,5,10 (E) 7,3,10 PLEASE HELP
Answer:
(C) 4,5,8
Step-by-step explanation:
Since 4+5 = 9 and 9 is bigger than 8, that means that the side 8 can fit into the triangle without there being an open space.
Answer:
Option C { 4,5,8 }
Step-by-step explanation:
By the Triangle Inequality Theorem, the length of two sides together must be greater than the length of the remaining side. Respectively their difference must be less than the length of the another side.
* I like to memorize this concept by thinking about a door. The more you open the door, the greater the distance between the door and the wall - as they are proportional. That is how we concluded this theorem.
______
{ 2, 2, 4 } is our first option. The difference of 4 and 2 is equal to the remaining length, 2. { 3, 4, 7 } is not applicable as well, considering that the addition of 3 and 4 is equivalent to the length of the 3rd side, 7. However, the lengths { 4, 5,8 } have no such " errors. " It could be the side lengths of a possible triangle.
______
Solution = { 4,5,8 }
Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered four times as many cheese pizzas as vegetable pizzas, for a total of 152 slices. How many pizzas did Manuel order? 15 20 30 40
Answer:
20 Pizza
Step-by-step explanation:
Let the number of vegetable pizza be x
Given that
Manuel ordered four times as many cheese pizzas as vegetable pizzas
the number of cheese pizza = 4x
1. no of slice in 1 vegetable pizza pie = 6
no of slice in x vegetable pizza pie = 6x
2. no of slice in 1 cheese pizza pie = 8
no of slice in 4x cheese pizza pie = 8*4x = 32x
Total no of slice for x vegetable pizza and 4x cheese pizza = 6x+32x = 38x
Given that
total no. of 152 slices, therefore
38x = 152
=> x = 152/38 = 4
Thus, no. of vegetable pizza ordered = 4
no. of cheese pizza ordered = 4x = 4*$ = 16
Total no of pizza ordered = 16+4 = 20 (answer)
Answer:
B
Step-by-step explanation: