Answer:
Step-by-step explanation:
Perimeter = 32
length = x - 3
width = 2x + 7
Perimeter = 2* Length + 2* width
Perimeter = 2*(x-3) + 2(2x + 7) = 32 Remove the brackets.
2x - 6 + 4x + 14 = 32 Combine
6x + 8 = 32 Subtract 1 from both sides
6x = 32 - 8
6x = 24 Divide by 6
x = 24/6
x = 4
So the base = x - 3 = 4 - 3 = 1
The height = 2*4 + 7 = 8 + 7 = 15
20. Two employees of a company have to file expense reports for their travel. The first had taken 7 trips with a mean trip cost of $750. The second took a total of 5 trips with a mean cost of $1200. The accounting department wants to determine the mean cost of all the trips that these two employees took. What is the mean cost of all 12 trips? Proposed Solution: Since we have two costs (one for each employee) we can find the mean cost of both employees by the following computation: (750 + 1200) / 2 = 975 What was done wrong in the proposed solution?
Since there are 7 trips with a mean cost 750 and 5 trips with mean cost 1200, the calculation should be [tex](7\times 750+5\times 1200) \div 12[/tex]
The calculation is as follows:We know that
Mean cost = Total cost ÷ total number of trips
Here, Total number of trips(observation ) = 7+5 = 12
Total cost = total cost of two employees
total cost of first employee = [tex]7\times 750[/tex]
And, total cost of second employee = [tex]5\times 1200[/tex]
So,
Mean cost of 12 trips = [tex](7\times 750+5\times 1200) \div 12[/tex] = 937.50
Learn more: https://brainly.com/question/6269728?referrer=searchResults
Find the area of the surface given by z = f(x, y) over the region R. (Hint: Some of the integrals are simpler in polar coordinates.) f(x, y) = 9 − x2 R: square with vertices (0, 0), (2, 0), (0, 2), (2, 2)
Answer:
The area of the surface over R is [tex]\mathbf{ 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}[/tex]
Step-by-step explanation:
From this study,
The surface area of f(x,y) is expressed by:
[tex]A = \iint_R \sqrt{1 +f^2_x+f^2_y}} \ dA[/tex]
where
[tex]0 \leq x \leq 2 \ and \ 0 \leq y \leq 2[/tex]
Given that:
f(x,y) = 9 - x²
Thus, [tex]f_x = -2x[/tex] and [tex]f_y = 0[/tex]
However, the area becomes:
[tex]A = \iint_R \sqrt{1+(-2x)^2+0^2} \ dxdy[/tex]
[tex]A = \iint_R \sqrt{1+4x^2} \ dxdy[/tex]
From above, replacing x with [tex]\dfrac{1}{2} \ tan \ u[/tex]
then [tex]dx = \dfrac{1}{2} sec^2 \ udu[/tex]
∴
[tex]\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} \iint \sqrt{1 + 4u^2 } \ sec^2 \ udu[/tex]
[tex]\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} \iint sec^2 \ udu[/tex]
[tex]\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} ( \sqrt{4x^2 + 1x} + \dfrac{1}{2} In \sqrt{4x^2 + 1}+2x)[/tex]
Hence;
[tex]\mathsf{A = \int \limits ^2_0 \begin {bmatrix} \dfrac{1}{2}(\sqrt{4x^2 +1 x}+ \dfrac{1}{2} In ( \sqrt{4x^2+1}+2x \end {bmatrix}^2_0 \ dy}[/tex]
[tex]\mathbf{A = 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}[/tex]
Therefore, the area of the surface over R is [tex]\mathbf{ 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}[/tex]
Can someone do this please for me :(
The 1st question says that you should look clearly and it tells you what you need to learn. Use this information with all the other questions
Subtract 10 from Thanh's age and double the result, and you get Xuyen's age. Xuyen is 22. How old is Thanh?
Answer:
let thanh age be x
Step-by-step explanation:
xuyen age= 22
therefore= (X-10)2=22
=2x-20=22
=2x=44
x=22
thanh age is 22
Question: Determine what the constant, coefficient, and variable are in the expression 7-25f.
Answer:
see below
Step-by-step explanation:
Given:
Binomial 7 - 25f
7 = constant, it is a number as a term25 = coefficient, it is a number which is multiplied by a letter (variable)f = variable, which is normally identified as a letter, it is degree onehow to find these answers?
Answer:
21.) 50°
22.) 135°
23.) 37°
24.) 100°
25.) 105°
26.) 60°
Step-by-step explanation:
Can anyone help with this question
Which number is not in the solution set of X - 6 > 10?
A) 14
B) 17
C) 20
D) 23
Answer:
A) 14
Step-by-step explanation:
x - 6 > 10
Add 6 to both sides.
x > 16
The solution is all numbers greater than 16.
In the choices, only 14 is less than 16.
Answer: A) 14
Answer:
a
Step-by-step explanation:
x-6 [tex]>[/tex] 10
14-6 [tex]>[/tex]10
8 is less than 10
Which is a solution for 4x+8 = 3x + 14?
O A. 2
OB.
c. 14/3
OD. 6
O E. 7
Answer: 6
Step-by-step explanation:
4x+8=3x+14
x+8=14
x=6
The solution of the given equation will be; X = 6
We know that the equation can be defined as an expression that shows the relationship between two or more numbers and variables.
WE are given the equation as;
4x+8 = 3x + 14
Now solving for x;
4x+8 = 3x + 14
Combine the like terms here;
x+8=14
Subtract 8 from right side
x=6
The value of x will be; x = 6
Learn more about equations here;
brainly.com/question/25180086
#SPJ6
What is the simplified value of the expression below?
8(9.75-3.25)+ 12x4
100
O 152
256
O 347
Answer:
100
Step-by-step explanation:
=(8)(6.5)+(12)(4)
=52+(12)(4)
=52+48
=100
4(1+9x) simple fie for me please
How to do this operation (11+1) -6 x8 + 16
Answer:
-20
Explanation:
Follow PEMDASParentheses, Exponents, Multiply, Divide, Add, Subtract(11 + 1) - 6 · 8 + 16
11 + 1 = 12
12 - 6 · 8 + 16
6 · 8 = 48
12 - 48 + 16
= -20
Chelsea and her friends ate 12 of 16 apples she purchased. What percent of apples did they eat?
Answer:
.75
Step-by-step explanation:
12/16 = 75/100
100/4 = 25
16/4 = 4
3 x 4 = 12
3 x 4 = 75
12/16 = 3/4
75/100 = 3/4
Hopefully this helps you
pls mark brainlest
h(n)= n2 + 2n; Find h(2)
Answer:
h(2)= 8
Step-by-step explanation:
h(2) = 2^2 +2(2)
4 + 4
h(2)=8
Anika was shown a reduction of a complex figure.
2 complex figures. Side A corresponds to a side with length 35 centimeters. Side B corresponds to a side with length 25 centimeters. A side with length 15 centimeters corresponds to a side with length 60 centimeters.
Figures not drawn to scale.
What can Anika conclude about the scale factor and missing measurements? Select three options.
The scale factor is 0.60.
The scale factor is 0.25.
The length of side A is 8.75 cm.
The length of side A is 21 cm.
The length of side B is 6.25 cm.
Answer:
Scale factor is .25.
Step-by-step explanation:
Side A is .25 times 35 which is 8.75. Side b is .25 (25)= 6.25
Answer:
B: The scale factor is 0.25.
C: The length of side A is 8.75 cm.
E: The length of side B is 6.25 cm.
Step-by-step explanation:
To find the answer of 8.75 in C multiply 35 x .25
To find E multiply 25 by .25.
And the scale factor is .25 becuase the original is 1/4 the new perimeter.
what is an equivalent expression to 6(x-5)?
Answer:
6x-30
Step-by-step explanation:
you use distribution
Answer: 6x -30
Step-by-step explanation: Distribute the 6 to x and -5 to get 6x -30.
Using this linear inequality: 10C + 4 > 2C
Explain how to solve the inequality use both English and Math Sentences in your explanation, and how complete your explanation is.
Answer:
C > –½
Step-by-step explanation:
10C + 4 > 2C
The above inequality can be solved as follow:
10C + 4 > 2C
Collect like terms
4 > 2C – 10C
4 > – 8C
Divide both side by –8
Note: the inequality sign will change since we are dividing by a negative value.
4/ –8 < –8C/ –8
– ½ < C
Thus,
C > –½
What is the value of the expression below?
x/3+6=12
Answer:
x=108
Step-by-step explanation:
x/3+6=12 [tex]\frac{x}{3+6}=12[/tex]
1) 3+6=9
2) multiply both sides by 9
9x/9=12*9 [tex]\frac{9x}{9}=12*9[/tex]
3) Simplify
9x/9=x [tex]\frac{9x}{9}=x[/tex] (9 cancels out)
12*9=108
x=108
Suppose you have a sample of 35 children with antisocial tendencies and you are particularly interested in the emotion of surprise. You find that while the average 10 year old has a score of 13.10 on the emotion recognition scale, your sample of 10 year old children with antisocial tendencies has an average score of 14.35 with a standard deviation of 4.63. A higher score represents that it took a higher degree of emotional expression for the child to correctly identify the emotion of surprise, indicating greater difficulty recognizing the emotion. Assume that scores on the emotion recognition scale are normally distributed.
The null hypothesis is that your sample of children with antisocial tendencies would have no more difficulty recognizing emotion than the general population of 10-year olds. Stated using symbols:_________________
(a). this is a ______
(b) tailed test. Given what you know, you will evalute this hypothesis using a _____
(c) statistic.In order to use the t distribution, you will first need to determine the degrees of freedom
(df) for alpha=.05. The degrees of freedom is: _____
(d). The critical value of t is:_____
(e) Calculate the t statistics. To do this, you will first have to calculate the estimated standard error. The estimated standard error is ____
(f). The t statistic is _____
(g). (Hint: for the most precise results, retain four significant figures from your calculation of the standard error to calculate the t statistic.)
The t statistic ______
(h) lie in the critical region. Therefore, you ____
(i) reject the null hypothesis.
Based on the results of this test, there ____
(j) enough evidence to conclude that children with antisocial tendencies have greater difficulty recognizing surprise than do children without antisocial tendencies:
Options for b: two- or one-
Options for c: z or t
Options for d: 33, 34, 35, 36
Options for e: .549, 2.032, 1.691, 1.645
Options for f: 0.38, 4.63, 0.78, 35
Options for g: 2.45, 1.60, 3.19, 3.30
Options for h: does not OR does
Options for i: cannot OR can
Options for j: is OR is not
Answer and explanation:
Please find explanation attached
Ms. bell has a 256 ounce bag of potting soil. what is the greatest number of 6 ounce pots she can completly fill with soil
Answer:
41 bags
Step-by-step explanation:
256 divided by 6 equals 42.6666667 but that is not a whole pot
Evaluate –3^2+ (2 – 6)(10
Find f(-3) if f(x) = x2.
Answer:
f(-3) = 9
Step-by-step explanation:
Step 1: Define
f(-3) = x = -3
f(x) = x²
Step 2: Substitute and Evaluate
f(-3) = (-3)²
f(-3) = 9
Write each product as a power 6x6x6x6 if u help me youll get a cookie ^
Answer:
6⁴
Step-by-step explanation:
We see that we are multiply 4 6's together. That means we can simply just raise 6 to the 4th power as we are multiplying 6 x 6 x 6 x 6.
Hey there!
ANSWER: [tex]6^4[/tex]EXPLANATION:[tex]6*6*6*6 \text { as a power}[/tex]
If you want to find this number to be written as a power, you will need to see how many times the number is being multiplied by 6.
[tex]6(1)*6(2)*6(3)*6(4)\\\text {It was multiplied 4 times}[/tex]
Since it was multiplied by 4 times, you will write it as:
[tex]6^4(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Which quadrant is (-13, -12) located?
Answer:
Third quadrant
Step-by-step explanation:
Answer:
Quadrant III
Step-by-step explanation:
(-13, -12) is located in quadrant III because both the x values and y values are negative in the ordered pair, therefore they will be graphed on the part of the coordinate plane where the x and y values are also both negative simultaneously.
I included a photo so it is easier to visualize.
Evaluate the expression 43+ [(96 = 8) ~ 5] - 42.
Answer:
233
Step-by-step explanation:
Step-by-step explanation:
43+[(96/8=12)×5]-42
=43+60-42
=103-42
=61
what is the place value of 5 in 7,832.951
Which is the best estimate of (Negative three-fifths) (17 and StartFraction 5 over 6 EndFraction)?
Answer:
-9
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Simplify i12. 1 −1 −i i
Answer:
The answer for the first one is 1 and the second answer is 12i.
Step-by-step explanation:
The value of the given imaginary number i¹² will be 1 thus option (A) is correct.
What is a complex number?A complex number is the sum of a real number and an imaginary number.
The idea of a complex number has come by solving a quadratic equation that has root as negative under root.
If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).
The value of iota(i) is given as i = √(-1).
By the law of indices,
i¹² = (i²)⁶
⇒ (-1)⁶
Since the even exponents of a negative number give positive output thus (-1)⁶ = 1.
Thus, i¹² = 1
Hence "The value of the given imaginary number i¹² will be 1".
To learn more about complex numbers,
brainly.com/question/10251853
#SPJ2
Supplementary angles must share a common side. True or False
Answer:
I guess answer is true but not sure
Answer:
The answer is false. Complementary and supplementary angles DO NOT HAVE TO share a vertex or a side but they CAN be.
All pictures are below please help Sandi had the following problem on her math test: . She showed her work on the test as follows: Given: Step 1: Step 2: Step 4: Step 5: In at least two paragraphs, explain the steps Sandi took to arrive at her answer. If she made any errors in her process clearly explain what she did wrong and how she could have made the error. If there is an error, provide the correct steps in your explanation of Sandi’s work. Use correct math terminology wherever appropriate.
Answer:
the answer is 6
Step-by-step explanation:
hope this helps!!!
Answer:
18
Step-by-step explanation:
6 × 4 + 2 ÷ 2 - 7
24 + 1 - 7
25 - 7
= 18
thanks
Prove that Associative property does not hold true for 8 / 9 – ( 9 / 10 – 2 / 5 )