[tex]A\cup B=\{q,s,u,w,y,z\}\\(A\cup B)'=\{r,t,v,x\}\\\boxed{(A\cup B)'\cap C=\{v,x\}}[/tex]
Which is the solution to the inequality?
2 3/5 <b-8/15
Answer:
3 2/15 <b
Step-by-step explanation:
2 3/5 <b-8/15
Add 8/ 15 to each side
2 3/5 + 8/ 15 <b-8/15 + 8/15
2 3/5 + 8 /15 <b
Get a common denominator
2 3/5 *3/3 + 8/15
2 9/15 + 8/15 < b
2 17/15 < b
2 + 15/15 + 2 /15 < b
3 2/15 <b
Answer:
B > 3 2/15
Step-by-step explanation:
The following shape is based only on squares, semicircles, and quarter circles. Find the area of the shaded part.
Answer:
this? hope it helps ........
Answer:
The answer is area=32pi-64 and the perimeter is 8pi
Step-by-step explanation:
f(x)=3x+5 and g(x)=4x2-2 h(x)=x2-3x+1 Find f(x)+g(x)-h(x).
Answer:
f(x)+g(x)-h(x) = 3x² + 6x + 2Step-by-step explanation:
f(x) = 3x + 5
g(x) = 4x² - 2
h(x) = x² - 3x + 1
f(x)+g(x)-h(x) means subtract h(x) from the sum of f(x) and h(x)
f(x)+g(x)-h(x) = 3x + 5 +( 4x² - 2) - (x² - 3x + 1)
Remove the brackets
That's
f(x)+g(x)-h(x) = 3x + 5 + 4x² - 2 - x² + 3x - 1
Group like terms
We have
f(x)+g(x)-h(x) = 4x² - x² + 3x + 3x + 5 - 2 - 1
Simplify
We have the final answer as
f(x)+g(x)-h(x) = 3x² + 6x + 2Hope this helps you
Hope this helps you
Which method should be used to solve for x? 2.5 x = 5.7 distributive property addition property of equality combining like terms division property of equality
Answer:
division property of equality
Step-by-step explanation:
Answer:
division property of equality
Step-by-step explanation:
Find the sum of (5x3 + 3x2 - 5x + 4) and (8x3 -5x2 + 8x + 9)
Which of the following is a correct interpretation of the expression -4 - (-7)?
Answer:
D
Step-by-step explanation:
So we have the expression:
[tex]-4-(-7)[/tex]
First, simplify. Two negatives make a positive. Therefore, the -(-7) turns into +7:
[tex]-4-(-7)\\=-4+7[/tex]
When adding on the number line, we move to the right.
Therefore, the correct interpretation is the value 7 digits to the right of -4.
D is the correct answer.
Answer:
D. the number that is 7 to the right of -4 on the number line
Step-by-step explanation:
interpret -4 - (-7)
= -4 +7
therefore
the number that is 7 to the right of -4 on the number line
so its D.
The distance that Sarah travels varies directly to how long she drives. She travels 440 miles in 8 hours. Write the equation that relates the distance, d, to the time, t. How many miles can Sarah travel in 6 hours?
Answer:
330
Step-by-step explanation:
If d = distance, t = time, and s = speed, then the relationship between the 3 is s * t = d.
Solve for speed by dividing the distance over the time, s = d/t. Then, plug in the speed which in this case is 55 mph and then multiply by the time of 6 hours.
A local mattress manufacturer wants to know if its manufacturing process is in or out of control and has hired you, a statistics expert in the field, to analyze its process. Specifically, the business has run 20 random samples of size 5 over the past month and has determined the mean of each sample.
a. Determine the estimate of the mean when the process is in control.
b. Assuming the process standard deviation is .50 and the mean of the process is the estimate calculated in part a, determine the Upper Control Limit (UCL) and the Lower Control Limit (LCL) for the manufacturing process.
c. Explain the results to the vice-president of the mattress manufacturer focusing on whether, based on the results, the process is in or out of control.
Sample no. Mean of Sample
1 95.72
2 95.44
3 95.40
4 95.50
5 95.56
6 95.72
7 95.60
8 95.24
9 95.46
10 95.44
11 95.80
12 95.20
13 94.82
14 95.78
15 95.18
16 95.32
17 95.08
18 95.22
19 95.04
20 95.
Answer:
Answer to question a = 95.4
Answer to question b = UCL = 96.07
LCL = 94.73
Answer to question c = Process is still in control
Step-by-step explanation:
a. The computation of estimate mean is as shown below:-
= 95.4
b. The computation of Upper Control Limit (UCL) and the Lower Control Limit (LCL) for the manufacturing process is shown below:-
= 95.4 + 0.67082
= 96.07
= 95.4 - 0.67082
= 94.73
c. The explanation is shown below:-
From the above calculation we can see that the sample lies between LCL AND UCL that is (94.73 ,96.07) ,
The Process is still in control
Suppose the following data show the prices of 4 cars with similar characteristics that sold at a recent auction (in thousands of dollars): 6.6, 5, 10.7, 7.3. Calculate the standard deviation of the sample of selling prices. (please express your answer using 2 decimal places)
Answer: 2.40
Step-by-step explanation:
Given: The prices of 4 cars with similar characteristics that sold at a recent auction (in thousands of dollars): 6.6, 5, 10.7, 7.3.
Let x: 6.6, 5, 10.7, 7.3.
n= 4
Mean : [tex]\overline{x}=\dfrac{\sum x}{n}[/tex]
[tex]\Rightarrow\ \overline{x}=\dfrac{6.6+5+10.7+7.3}{4}\\\\=\dfrac{29.6}{4}\\\\=7.4[/tex]
Now , standard deviation = [tex]\sqrt{\dfrac{\sum(x-\overline{x})^2}{n-1}}[/tex]
[tex]=\sqrt{\dfrac{(6.6-7.4)^2+( 5-7.4)^2+( 10.7-7.4)^2+( 7.3-7.4)^2}{4-1}}\\\\=\sqrt{\dfrac{0.64+5.76+10.89+0.01}{3}}\\\\=\sqrt{\dfrac{17.3}{3}}\approx2.40[/tex]
Hence, the standard deviation of the sample of selling prices = 2.40
Consider the following. x = t2 − 2t, y = t5, 1 ≤ t ≤ 4 Set up an integral that represents the length of the curve. 4 1 dt Use your calculator to find the length correct to four decimal places.
Answer:
L ≈ 1023.0562
Step-by-step explanation:
We are given;
x = t² - 2t
dx/dt = 2t - 2
Also, y = t^(5)
dy/dt = 5t⁴
The arc length formula is;
L = (α,β)∫√[(dx/dt)² + (dy/dt)²]dt
Where α and β are the boundary points. Thus, applying this to our question, we have;
L = (1,4)∫√[(2t - 2)² + (5t⁴)²]dt
L = (1,4)∫√[4t² - 8t + 4 + 25t^(8)]dt
L = (1,4)∫√[25t^(8) + 4t² - 8t + 4]dt
Using online integral calculator, we have;
L ≈ 1023.0562
The length of the curve is 1023.0562 and this can be determined by doing the integration using the calculator.
Given :
[tex]\rm x = t^2-2t[/tex][tex]\rm y=t^5[/tex][tex]\rm 1\leq t\leq 4[/tex]First, differentiate x and y with respect to 't'.
[tex]\rm \dfrac{dx}{dt}=2t-2[/tex]
[tex]\rm \dfrac{dy}{dt}=5t^4[/tex]
Now, determine the length of the curve using the below formula:
[tex]\rm L = \int^b_a\sqrt{\left(\dfrac{dx}{dt}\right)^2+\left(\dfrac{dy}{dt}\right)^2} dt[/tex]
Now, substitute the value of the known terms in the above formula and then integrate it.
[tex]\rm L = \int^4_1\sqrt{(2t-2)^2+(5t^4)^2} dt[/tex]
[tex]\rm L = \int^4_1\sqrt{25t^8+4t^2-8t+4} \;dt[/tex]
Now, simplify the above integration using the calculator.
L = 1023.0562
For more information, refer to the link given below:
https://brainly.com/question/18651211
What's the y-intercept of the function y=-2(2)* + 2?
Answer:
-2 is the y-intercept of this function.
Step-by-step explanation:
can you please help ?
Answer:
69
Step-by-step explanation:
The order of operations is PEMDAS; parentheses, exponents, multiplication and division, and finally addition and subtraction.
We know that x is the first row, and if there are 30 spots in the first row, then x=30. Using this information, all we have to do now is plug in 30 for x and solve.
[tex]\frac{5(x)}{2} -6[/tex]
[tex]\frac{5(30)}{2}-6[/tex]
[tex]\frac{150}{2}-6[/tex]
[tex]75-6[/tex]
[tex]69[/tex]
Please answer this correctly without making mistakes
Answer:
14 mi
Step-by-step explanation:
Cedarburg is 22 13/16 miles from Allenville and 8 13/16 miles from Lakeside. You have to solve for the distance from Lakeside to Allenville.
8 13/16 + x = 22 13/16
(8 13/16 + x) - 8 13/16 = 22 13/16 - 8 13/16
x = 14
The distance from Lakeside to Allenville is 14 miles.
Simplify the following expression. 3x(4x − 3) A. 12x2 + 13x B. 12x2 + 5x C. 12x2 − 5x D. 12x2 − 9x
Answer:
Multiply using the distributive property.
D is the best answer.
Step-by-step explanation:
The simplified form of expression 3x (4x - 3) is 12x² - 9x.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
3x (4x - 3).
Simplify the expression by solving bracket term,
3x × (4x) - 3 x (3x)
12x² - 9x
The given expression can be simplified as 12x² - 9x.
Hence, option (D) is correct.
To know more about Algebraic expression on:
https://brainly.com/question/19245500
#SPJ2
What two rational expressions sum to [tex]\frac{4x+2}{x^{2}-9+8 }[/tex] Enter your answer by filling in the boxes. Enter your answer so that each rational expression is in simplified form.
Answer:
[tex]\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}[/tex]
Required
Fill in the gaps
Going by the given parameters, we have that
[tex]\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}[/tex]
[tex]x^2 - 9x + 8[/tex], when factorized is [tex](x-1)(x-8)[/tex]
Hence; the expression becomes
[tex]\frac{4x+2}{(x-1)(x-8)} = \frac{A}{(x-8)(x-1)} + \frac{B}{(x-1)(x-8)}[/tex]
Combine Fractions
[tex]\frac{4x+2}{(x-1)(x-8)} = \frac{A + B}{(x-8)(x-1)}[/tex]
Simplify the denominators
[tex]4x + 2 = A + B[/tex]
By direct comparison
[tex]A = 4x[/tex]
[tex]B = 2[/tex]
Hence, the complete expression is
[tex]\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}[/tex]
Answer:4x+2/x2−9x+8 = −6/7(x−1) + 34/7(x−8)
Solve the following equation
3x + 5 = 17
Geometry pre
Answer:
x = 4
Step-by-step explanation:
First, we need to get the 3x by itself on the left. To do this, we subtract 5 from both sides. 3x + 5 - 5 = 17 - 5; 3x = 12. Now, to find x, we divide both sides by 3 to get 3x/3=12/3; x = 4
Answer:
[tex] \boxed{ \boxed{ \bold{4}}}[/tex]Step-by-step explanation:
[tex] \mathsf{3x + 5 = 17}[/tex]
Move constant to R.H.S and change it's sign
⇒[tex] \mathsf{3x = 17 - 5}[/tex]
Subtract 5 from 17
⇒[tex] \mathsf{3x = 12}[/tex]
Divide both sides of the equation by 3
⇒[tex] \mathsf{ \frac{3x}{3} = \frac{12}{3} }[/tex]
Calculate
⇒[tex] \mathsf{x = 4}[/tex]
Hope I helped!
Best regards!
I
7. Clarissa Santo worked in a position that earned $2,247 per month for 7 months. Then, she
received a promotion to a position that earned $2,310 per month. What total gross pay did Clarissa
earn for the year?
Answer: $27,279
Step-by-step explanation:
The data is:
Clarissa earned $2,247 per month, in the first 7 months.
After that, she earned $2,310 per month.
What total gross pay did Clarissa earned in one year?
Ok, a year has 12 months, in the first 7 months she earned $2,247 per month, so 7 times $2,247, this is:
7*$2,247 = $15,729
And in the other 12 - 7 = 5 months, she earned $2,310 per month, so 5 times $2,310.
5*$2,310 = $11,550
Adding those togheter:
Total gross = $15,729 + $11,550 = $27,279
State whether the given measurements determine zero, one, or two triangles. B = 84°, b = 28, c = 25 (5 points)
Answer:
1
Step-by-step explanation:
The given angle is opposite the longest given side, so the parameters define exactly 1 triangle.
__
Additional comment
When the given angle is opposite the shortest given side, there may be 0, 1, or 2 triangles, depending on the angle and the ratio of sides. For the case here, there is only one possibility.
According to a report in USA Today, more and more parents are helping their young adult children purchase their first home. Suppose eight persons in a random sample of 40 young adults who recently purchased a home in Kentucky received help from their parents. You have been asked to construct a 95% confidence interval for the population proportion of all young adults in Kentucky who received help from their parents. What is the margin of error for a 95% confidence interval for the population proportion
Answer:
the margin of error
= 1.96 x 0.0632
= 0.124
Step-by-step explanation:
this question has the sample size, n = 40
8 people have received help from their parents from this sample.
8/40 = 0.2
which is the sample proportion
z = 1 - 0.2
= 0.8
to calculate standard error
√pz/n
= √0.2 x 0.8/40
= √0.16/40
= 0.0632
at 95% confidence level
z(alpha/2) = 1.96
therefore the margin of error
= 1.96 x 0.0632
= 0.124
A patient with diabetes self-injected 5 units of regular insulin and 15 units of NPH insulin at 0800. When should the nurse assess this patient for signs of hypoglycemia?
Answer:
Hypoglycemia would sign at 1,000
Step-by-step explanation:
We know that a short-acting insulin (Regular insulin) work at last for 2 to 3 hours
Also intermediate acting insulin (NPH) insulin crests in 4 to 10 hours.
So, nurse assess this patient for signs of hypoglycemia 1000 to 1600
If r=9 and 4r+3s=75, what is the value of s?
Answer:
s = 13Step-by-step explanation:
4r+3s=75 , r = 9
Since we know the value of r, we can substitute the value of r into the above equation to find s
That's
4( 9) + 3s = 75
36 + 3s = 75
Group like terms
3s = 75 - 36
3s = 39
Divide both sides by 3
That's
[tex] \frac{3s}{3} = \frac{39}{3} [/tex]
We have the final answer as
s = 13Hope this helps you
A total of n bar magnets are placed end to end in a line with random independent orientations. Adjacent like poles repel while ends with opposite polarities join to form blocks. Let X be the number of blocks of joined magnets. Find E(X) and Var(X).
Answer:
E(x) [tex]= \frac{n+1}{2}[/tex]
Var(x) [tex]= \frac{1}{4} [ n - 1 ][/tex]
Step-by-step explanation:
Hint x = 1 + x1 + ......... Xn-1
[tex]X_{i} = \left \{ {{1} if the ith adjacent pair of magnets repel each other \atop {0} if ith adjacent pair of magnets join} \right.[/tex]
attached below is the detailed solutioN
usually like poles of magnets repel each other and unlike poles of magnets attract each other forming a block
Use the graph showing Phillip's account balance to answer the question that follows. ^
What is the interest rate on Phillip's account?
A - 3.3%
B - 6.7%
C - 9.0%
D - 15.3%
Answer:
A - 3.3%
Step-by-step explanation:
From the graph
Where x= 0
Amount =$ 450
It shows that$450 is the capital
Then
When x= 3
Amount=$494.55
So interest generated within 3 years
= $494.55-$450
=$ 44.55
When x= 9
Amount = $583.65
So interest generated within 9 years
= $583.65-$450
=$ 133.65
PRT/10= Interest
450*x*3/100= 44.55
1350x= 4455
X= 4455/1350
X= 3.3
So the rate is =3.3%
Solve for X, 3^x + 3^2 = 90
3^x + 3^2 = 90
Simplify the known power:
3^x + 9 = 90
Subtract 9 from both sides:
3^x = 81
Take the cubic root of both sides:
X = 4
6x+6+9x+9=? Please help
Answer:
15x + 15
Step-by-step explanation:
Combine like terms. Like terms are terms with the same amount of variables. Set the equation so that the terms are grouped:
6x + 9x + 6 + 9
Combine like terms:
(6x + 9x) = 15x
(6 + 9) = 15
15x + 15 is your answer.
~
Answer:
15x+15
Step-by-step explanation:
6x+9x=15x
9+6=15
6x+6+9x+9=15x+15
work out angle pqr please if you know it i willl give brainliest to fastest person
Answer:
∠PQR = 67.36° (Approx)
Step-by-step explanation:
Given:
PRQ is a right triangle
∠R = 90°
PQ = 13 cm
QR = 5 cm
PR = 12 cm
Find:
∠PQR = ?
Computation:
Using trigonometry application.
SinФ = 12 / 13
SinФ = 0.92
Sin 67.36° = 0.92
So,
∠PQR = 67.36° (Approx)
Solve x/2 = 3x/4 + 5 (make sure to type the number only)
Answer:
x= -20
Step-by-step explanation:
x/2=3x/4+5
Multiply both sides of the equation by 4, the least common multiple of 2,4.
2x=3x+20
Subtract 3x from both sides.
2x−3x=20
Combine 2x and −3x to get −x.
−x=20
Multiply both sides by −1.
x=−20
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogram. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?
Answer:
8.8 pounds
Step-by-step explanation:
Given the following :
Combined weight loss which occurred within a week = 28 kg
Number of days in a week = 7 days
1 kilogram (kg) = 2.2 pounds
Combined weight loss in pounds that occurs within a week:
Weight loss in kg × 2.2
28kg * 2.2 = 61.6 pounds
Assume weight loss occurred at a constant rate :
Weight lost by the group per day :
(Total weight loss / number of days in a week)
(61.6 pounds / 7)
= 8.8 pounds daily
Answer:
88
Step-by-step explanation:
Found the answer and I am doing the quiz rn lel
What is an overdraft fee list two reasons why banks charge overdraft fees?
Answer:
An overdraft fee is a fee banks charge for withdrawing more money from an account than the current balance of that account. Banks charge overdraft fees to discourage overdrawing accounts and to make money from fees.
Step-by-step explanation:
Answer: Overdraft fee is when you withdraw more money from an account than the current balance of that account.
Step-by-step explanation:
Fees are charged to discourage overdrawing accounts and to make money from fees.
Solve this system of equations:
3x - 2y = -8
y=3/2x - 2
PLEASE WRITE THE STEPS
Hey there! I'm happy to help!
We see that y is equal to 3/2x-2. We can replace the y in the first equation with 3/2x-2 because they are equal and we can solve for x.
3x-2(3/2x-2)=-8
We use the distributive property to undo the parentheses.
3x-3x+4=-8
We combine like terms.
4=-8
We see that since there is no x anymore, there cannot be a solution. We have no x value to solve for the y value either, so there is no solution to this system of equations.
Have a wonderful day! :D
