Answer:
115 in.^2
Step-by-step explanation:
The total surface area is the sum of the areas of the square base and the 4 congruent triangular faces.
SA = b^2 + 4 * bh/2
SA = (5 in.)^2 + 4 * (5 in.)(9 in.)/2
SA = 25 in.^2 + 2 * 45 in.^2
SA = 115 in.^2
2. Given f(x) = 4x -2 and g(x) = x2 + 1, evaluate:
a) f(5)
b) g(-3)
c) g(x - 2)
d) f(g(x))
Answer:
a).
f(5) = 18
b).
g(-3) = 10
c).
g(x-2) = x²- 3
d).
f(g(x)) = 4x²- 1
which choice is equivalent to the expression below? square root of 50 - square root of 2
Answer:
square root of 50
Step-by-step explanation:
Find the size of one interior angle of a regular 10-sided polygon.
Answer:
144
Step-by-step explanation:
Exterior angle = [tex]\frac{360}{number \ of \ sides}[/tex]
[tex]=\frac{360}{10}[/tex]
= 36
Interior angle and exterior angles are supplementary.
interior angle + exterior angle = 180
Interior angle + 36 = 180
Interior angle = 180 - 36
= 144
What is Index Law 3?
please give explanation
Answer:
hi hi hi hi hi
Step-by-step explanation:
plz follow me
The third and last law tells us that when we have to multiply a power in a bracket, by another power outside the bracket, we have to multiply the two powers together to get the answer.
The variables x and y vary inversely, and y=-11 when x = 16. Write an equation that relates x and y. Then
find y when x = -9.
Answer:
y=-176/x
y=176/9
Step-by-step explanation:
[tex]y = \frac{k}{x} \\ - 11 = \frac{k}{16} \\ k = - 176 \\ y = \frac{ - 176}{x} \\ y = \frac{ -176}{ -9} = 19 \frac{5}{9} [/tex]
The number of music CDs sold in 1993 by one company was approximately 2.3×10^6.The number of music CDs sold by the same company in 2001 was approximately 7.9×10^7. What is the difference in CDs sold between 1993 and 2001?
Answer:
84%
Step-by-step explanation:
I'm not sure how I got that answer but I'm just smart like that. I'm sorry I couldn't give a better explanation. I'm in a bit of a rush but I hope this answer is helpful to you. Percentage was the only way I could think of. Sorry again.
The difference between CDs sold between 1993 and 2001 will be 76.7 × 10⁵.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
In another meaning subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
The group's total number of items decreases or becomes lower when we subtract from it.
Given that sell of CDs in 1993 is 2.3 × 10⁶.
Sell of CDs in 2001 is 7.9 × 10⁷.
The difference between sell is = 7.9 × 10⁷ - 2.3 × 10⁶
⇒ 76.7 × 10⁵ hence it will the correct option.
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similarity transformations geometry :) answer 3 blanks
1. 2
2. The Y axis
3. 3 rights and 1 down (3, -1)
Write an equation in slope intercept form for the line with slope -2 and y intercept-5
Answer:
Y=-2x-5
Step-by-step explanation:
Y=Mx + b where m is the slope and b is the y intercept
y=-2x-5
brainliest is appreciated
Help fast
Find all values of x that make the equation true.
Answer:
x=10
Step-by-step explanation:
Please hurry I will mark you brainliest
What is the slope of this?
Answer:
Step-by-step explanation:
you can use the rise over run technique, where you count how many units you go down or up, left or right to get to the next point. or use the slope formula :
(y2-y1)/(x2-x1)
the pairs given :
(1,6) and (3,2)
(2-6)/(3-1) = -4/2 = -2
-2 is the slope. the line is going downwards so there is a negative slope
7. Which set of points could represent
a linear function?
A {(2, 1), (5,3), (6, 7), (7, 11)}
B ((2.-1), (5,3), (8, 7). (11.11 )}
C {(2, -1), (5,5), (8,7), (11, 11 )}
D (5.-1), (5,5), (8,7), (11, 11)}
Answer:
B ((2.-1), (5,3), (8, 7). (11.11 )}
Step-by-step explanation:
Linear function:
The rate of change is always the same.
Item a:
x = 2 to x = 5 -> y = 1 to y = 3. Rate of change of 2/3.
x = 5 to x = 6 -> y = 3 to y = 7. Rate of change of 4.
Different rates of change, so not linear.
Item b:
We can look that for each point, when x changes by 3, y changes by 4, so the rate of change is the same and this set of points represents a linear function, and the answer is option b.
Find the value of the expression 8x^3 if x=0
CAN SOMEONE HELP ME PLEASE!
9514 1404 393
Answer:
FalseFalseTrueStep-by-step explanation:
1. All of the x-values are unique, so the relation is a function. The statement is False.
__
2. It is true that integer values of x in the interval 3 ≤ x ≤ 8 are the domain of the function. However, the inequality does not limit values of x to being integers. x=3.5 satisfies the inequality, but is not in the domain. The statement is False.
__
3. The range of the function is the set of y-values. The statement is True.
1. Una empresa realizó una encuesta a 250 personas para saber qué programa de televisión prefieren ver en domingo. Se les dieron 3 opciones: deportes, películas o musicales. El resultado de la encuesta fue: 130 personas prefieren deportes; 80 prefieren ver películas; 40, musicales; 25 prefieren deportes y películas; 20, películas y musicales; 10, deportes y musicales; y sólo a 6 personas les gustan los tres tipos de programas. a) ¿Cuántas prefieren ver sólo deportes? b) ¿Cuántas prefieren ver sólo un programa de televisión? c) ¿Cuántas prefieren ver películas o musicales?
Answer:
A) 89 personas prefieren ver sólo deportes.
B) 122 personas prefieren ver sólo un programa de televisión
C) 33 personas prefieren ver películas o musicales.
Step-by-step explanation:
Dado que una empresa realizó una encuesta a 250 personas para saber qué programa de televisión prefieren ver en domingo, y se les dieron 3 opciones: deportes, películas o musicales, donde el resultado de la encuesta fue: 130 personas prefieren deportes; 80 prefieren ver películas; 40, musicales; 25 prefieren deportes y películas; 20, películas y musicales; 10, deportes y musicales; y sólo a 6 personas les gustan los tres tipos de programas; para determinar A) cuántas prefieren ver sólo deportes, B) cuántas prefieren ver sólo un programa de televisión; y C) cuántas prefieren ver películas o musicales, se deben realizar los siguientes cálculos:
A)
130 - 25 - 10 - 6 = 89
B)
80 - 25 - 20 - 6 = 29
40 - 20 - 10 - 6 = 4
89 + 29 + 4 = 122
C)
29 + 4 = 33
work out the length of ab
Answer:
AB = 2√137
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
a = 22 cm
b = 8 cm
Step 2: Solve for c
Substitute in variables [Pythagorean Theorem]: (22 cm)² + (8 cm)² = c²Evaluate exponents: 484 cm² + 64 cm² = c²Add: 548 cm² = c²[Equality Property] Square root both sides: 2√137 cm = cRewrite: AB = 2√137Answer:
AB= 2√137 cm
Step-by-step explanation:
because we have a right triangle we apply the Pythagorean theorem
hypothenuse² = side² + side²
AB² = BC² + AC², substitute the given sides BC=8 and AC=22
AB² = 8² + 22² , square the numbers and apply the square root to both side
AB = √(64 + 484), add the numbers
AB = √548, simplify the square root
AB= 2√137 cm
pls answer correctly and explain
thx
Answer:
36n = 360
Step-by-step explanation:
A dozen is 12
3 dozen is 3*12 = 36
36 * n boxes = 360
36n = 360
6x8x8 is it actually 384?! Please show me how!
Answer:
If it's hard to add together, I think you should get a calculator
a = 3d
work out the value of 'a' when , d= 5
Answer:
15
Step-by-step explanation:
a = 3d
Let d=5
a = 3*5
a = 15
What are the steps i need to do (along with the answer) to 9^x = sqrt of 729?
Answer:
last option is correct 3/2
Answer:
x = 3/2
Step-by-step explanation:
9^x = 729 ^ 1/2
We need to get the bases the same
729 = 9^3
9^x = 9^3 ^ 1/2
We know that a^b^c = a^(b*c)
9^x = 9^3/2
Since the bases are the same, the exponents are the same
x = 3/2
The length L of the base of a rectangle is 5 less than twice its height H. Write the algebraic expression to model the area of the rectangle.
The length L of the base of a rectangle is 5 less than twice its height H. Then the algebraic expression be, area of rectangle = 2H² - 5H.
What is the algebraic expression to model the area of the rectangle?Let, the given information be "The length L of the base of a rectangle is 5 less than twice its height H".
L be the length of the rectangle
H be the height of the rectangle
By converting the given information into an algebraic expression, we get
Length = 2H - 5
The area of a rectangle is given by the formula;
Area of rectangle = L [tex]*[/tex] H
Where L is the Length.
H is the Height.
Substituting the values into the formula, we have;
Area of rectangle = (2H - 5) [tex]*[/tex] H
Area of rectangle = 2H² - 5H
Therefore, the area of rectangle = 2H² - 5H.
To learn more about algebraic expression of rectangle
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A chemist has a container of 12% peroxide solution and a container of 20% peroxide solution. She needs to mix the two solutions to create 100 mL of a 14% solution. If x represents the amount of 12% peroxide solution and y represents the amount of 20% peroxide solution she needs, which matrix equation can determine the amount of each solution she needs to make the 14% solution?
Answer:
[tex]0.12x+0.2y=14,\:x+y=100\quad :\quad x=75,\:y=25[/tex]
Step-by-step explanation:
.12x + .2y = 14
x + y = 100
Answer:
Its B
Step-by-step explanation:
In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B's total points. Translate the scenario.
Answer:
(2b - 5) + b + (b + 80) = 983
Step-by-step explanation:
Given that,
Total score of three teams = 983
Since the teams' scores are given in reference to team B's score, let 'b' be the score of team B.
So,
The scores of Team A = (2 * b) - 5
The scores of Team B = b
The scores of Team C = (b + 80)
Thus,
The equation for determining the total points of Team B would be:
(2b - 5) + b + (b + 80) = 983
On solving,
(2b - 5) + b + (b + 80) = 983
⇒ 2b + b + b = 983 + 5 - 80
⇒ 4b = 908
⇒ b = 908 ÷ 4
⇒ b = 227
Team B's score = 227
Team A's score = (2 * 227 - 5)
= 449
Team C's score = 227 + 80
= 307
Total ⇒ 449 + 227 + 307 = 983
Hence proved.
Find the equivalent percent for ¾
3/4 is equivalent to 75%.
To find the percentage of a fraction, you simply just divide the numerator by the denominator. 3/4=0.75, which is 75%.
Answer:
75%....3/4 expressed as a percentage is just multiplying 3/4 and 100
Please read below. Thank you.
2+3=5cm
Step-by-step explanation:
2 and 3 would have to be added together to get the radius of the circle, resulting in the answer being 5. 2+3=5cm that's your answer
The equation of circle with center (h,k) and radius r units is
(x - h)^2 + (y - k)^2 = r^2
The equation of the circle with center (2,3) and radius 5 cm is
= (x - 2)^2 + (y - 3)^2 = 5^2
= x^2 - 4x + 4 + y^2 - 6y + 9 = 25
= x^2 + y^2 - 4x - 6y - 12 =0
hope it helps and is right
Your employer offers a 401(k) plan in which they will match 100% of
your contributions, up to 5% of your salary. Suppose you make
$35,000 in a given year, and you contribute $4,000.
Answer:
they will match 5% of 35,000 = $1750
so you total would be $5,750
Step-by-step explanation:
Distributions and Comparing Data Project
Round all answers to the nearest tenth. Present your work in a neat, legible way. Show all work.
Given the data set (16 values):
8, 6, 10, 5, 7, 1, 6, 11, 5, 13, 14, 8, 11, 9, 8, 6
1. Create a histogram and a box plot to represent this data set. What is the shape of the data
representation? Explain your reasoning.
2. Which measure of center and spread would you use to represent this data? Explain your reasoning.
3. Use a random number generator to generate a set of 15 numbers between 1 and 20. Create a
histogram and box plot to represent your data set. Calculate measures of center and spread. Which
measure of center and spread would you use to represent your data?
For questions 6-9 refer to the box plots (Assume their positions are on same number line). Write your
Class A
Class B
Class C
Class D
o
4. Which class(es) appear to have the most consistent scores? Explain your reasoning,
Answer:
1. The shape of the histogram created with MS Excel is approximately bell shaped and approximately evenly spread about the central (largest counts) values
The shape of the box plot created with MS Excel is approximately evenly distributed
2. The appropriate measure of central tendency for a bell shaped histogram is the mean and median, due to the approximately equal distribution about the highest frequency class
3. Part A
The 15 numbers between 1 and 20 generated by a random generator are;
1, 8, 8, 15, 4, 18, 11, 6, 17, 1, 18, 15, 10, 12, 11
The measure of center is the mean = (1+8+8+15+4+18+11+6+17+1+18+15+10+12+11)/15 = 155/15 = 31/3
The measure of spread used is the variance, s² = 32.38
[tex]Where, \,s^2 =\dfrac{\sum \left (x_i-\bar x \right )^{2} }{n - 1}[/tex]
[tex]{\sum \left (x_i-\bar x \right )^{2} }[/tex] = 453.333
n = 15
s² = 453.[tex]\overline 3[/tex]/(15 - 1) = 32.38
Part B
The measure of central tendency are the mean and the median because the size of the data (n = 15), is 75% of the population (N = 20) nd therefore the data is approximately normal and can be represented by the mean and the standard deviation
Step-by-step explanation:
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Enter the correct answer.
Answer:
Y = 1/4 x -3
Step-by-step explanation:
x1 y1 x2 y2
0 -3 -8 -5
ΔY -2
ΔX -8
slope= 1/4
B= -3
Y =0.25X +-3
find the missing length
Answer: x = 120
Step-by-step explanation:
Okay so you have three similar right triangles. To find x, you can set up an proportion [tex]\frac{shorter leg}{long leg} = \frac{64}{x} = \frac{x}{225}[/tex] since similar figures are in proportion. By cross multiplying and finding the square root of x^2, you result in x equaling 120.
Which equation represents the graph?
y=3x²-4
y=-3x²-4
y=-3x²+4
y=3x²+4
Marcelino Co.'s March 31 inventory of raw materials is $82,000. Raw materials purchases in April are $600,000, and factory payroll cost in April is $388,000. Overhead costs incurred in April are: indirect materials, $53,000; indirect labor, $28,000; factory rent, $36,000; factory utilities, $25,000; and factory equipment depreciation, $52,000. The predetermined overhead rate is 50% of direct labor cost. Job 306 is sold for $630,000 cash in April. Costs of the three jobs worked on in April follow.
Answer:
Gross Profit for Job 306 is $192,000
Step-by-step explanation:
Raw Material used $682,000
Indirect Material used $53,000
Indirect Labor $28,000
Factory rent $36,000
Factory utilities $25,000
Factory equipment depreciation $52,000
Total cost $876,000
Job 306 cost allocation : $876,000 * 50% = $438,000
Revenue of Job 306 : $630,000
Gross Profit = $192,000
