Answers
x^2 + 5^2 = 10^2
x^2 + 25 = 100
x^2 = 75
x = +sqrt(75), -sqrt(75) = +5sqrt(3), -5sqrt(3)
Related Questions
Find the value of y when x equals 4.
-3x + 9y = -57
Answers
Answer:
y = -5
Step-by-step explanation:
Isolate y:
-3x + 9y = -57
9y = -57 + 3x
y = (-57/9) + (3/9)x
Substitute for x:
y = (-57/9) + (3/9)(4)
y = (-57/9) + (12/9)
y = (-45/9)
y = -5
Answer:
[tex]\mathsf {y = -5}[/tex]
Step-by-step explanation:
[tex]\textsf {Given :}\\\textsf {-3x + 9y = -57}[/tex]
[tex]\textsf {Divide throughout by 3 :}[/tex]
[tex]\mathsf {\frac{1}{3} \times (-3x + 9y) = \frac{1}{3} \times -57}[/tex]
[tex]\mathsf {-x + 3y = -19}[/tex]
[tex]\textsf {Substitute x = 4 :}[/tex]
[tex]\mathsf {-(4) + 3y = -19}[/tex]
[tex]\mathsf {3y = -15}[/tex]
[tex]\textsf {Divide by 3 on both sides :}[/tex]
[tex]\mathsf {\frac{3y}{3} = \frac{-15}{3} }[/tex]
[tex]\mathsf {y = -5}[/tex]
Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. Which statement correctly compares the two functions on the interval [-1, 2]? A. Both functions are increasing, but function f increases at a faster average rate. B. Only function f is increasing, but both functions are negative. C. Both functions are increasing, but function g increases at a faster average rate. D. Only function f is increasing, and only function f is negative.
Answers
Both functions are increasing, but function g increases at a faster average rate.
The correct option is (C)
What is an increasing function?If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.
let f(x) = [tex]ab^{x} +c[/tex] and x=0 , f(0)= -10
-10=a+c
Now,
f(x) = -33/5*[tex](\frac{1}{11} )^{x}[/tex] - 17/5
f '(x)>0
So, x is increasing function.
g(x) = -18/3*[tex](\frac{1}{11} )^{x}[/tex] +2
g'(x) =-18[tex](\frac{1}{3} )^{x}[/tex]ln(1/3)
ln 1/3<0
So, g'(x)>0
So, g(x) is an increasing function.
For any x ∈ f(x) and x ∈ g(x)
Since, g increases at a faster rate.
Hence, Both functions are increasing, but function g increases at a faster.
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Help please I will give you a lot of points
Answers
Answer:
2 5/7 5/7 -1/7, -5/7, 1 2/7, -2 2/7, -1 5/7
1
2.
3
5 5
6
8
9
12
13
10-
8
6
909
NS
2
-6 -5 -4 -3 -2 -1 1 2 3 4
1 2 3 4 5 6 X
f
-6
-8
-10
-12-
-141
1 1 1
NO
w
f(4) = g(4)
Of(4) = g(-2)
O f2) = g(-2)
Of(-2) = g(-2)
Mark this and return
Answers
Answer: f(-3)=g(-3)
Step-by-step explanation:
The graphs intersect at x = -3.
The correct option is f(-3) = g(-3).
What is function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given that two lines are intersecting at point (-3, -4)
Therefore the system of equations of these two have a solution at (-3, -4)
So, if taking the lines as function,
We have f(x) and g(x),
so both of them are intersecting at (-3, -4) so the range when the domain is -3 will be equal.
Hence the correct option is f(-3) = g(-3).
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Help solve and get 20 pts! (Math)
Answers
The parent function of the quadratic function is x^2. Using this function for refrence, we see that there are some changed.
First, the function was shifted 2 units to the left, so we rewrite this as (x+2)^2, we also see that the function was also shifted 5 units up so we write, ((x+2)^2)+5, and finally, we see the function was flipped vertically, so we make this a negative,
(-(x+2)^2)+5.
Now, let's confirm this is the answer by plugging in the given coordinates!
5 = (-((-2)+2)^2)+5, ((0)^2)+5, 5.
1 = (-((-4)+2)^2)+5, ((-2)^2)+5, -4+5, 1.
which set of ordered pairs corresponds to the graph ?
Answers
Answer:
Let first check the coordinates of the points
A = (1 , -6)
B = (2 , -4)
C = (2, -2)
D = (4, -2)
E = ( 6, 0)
Option 4 is correct..
Explanation -
to find the coordinates we have to find the distance of that point from x Axis and then y axis. from origin.
The midpoint of FG is point H at (–5, 2). One endpoint is G(–9, –6). What is the y-coordinate of the other endpoint? The y-coordinate of the other endpoint is
Answers
The y-coordinate of the other endpoint is 10 units.
The given coordinates are H (-5, 2) and G (–9, –6).
We need to find the y-coordinate of the other endpoint.
What is the midpoint formula?The mid-point formula is [tex](x, y)=(\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2})[/tex]
Now, [tex](-5, 2)=(\frac{x_{1} +(-9)}{2} , \frac{y_{1} +(-6)}{2})[/tex]
⇒[tex]2=\frac{y_{1}-6 }{2}[/tex]
⇒[tex]4=y_{1}-6[/tex]
⇒[tex]y_{1}=10[/tex]
Therefore, the y-coordinate of the other endpoint is 10 units.
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44. What percent of Mary Brown's year-to-date
gross pay has been withheld for federal tax
purposes?
A. 10%
B 13%
C. 17%
D. 20%
45. For the pay period covered on this
paycheck, what percent of Mary Brown's
gross pay was withheld for all taxes and
voluntary dues?
A 10%
B. 13%
C 17%
D. 20%
Answers
Based on the amount of federal taxes withheld till date, the percent of Mary Brown's year-to-date that have been withheld is A. 10%.
The percent of the gross pay that has been withheld for all taxes and voluntary dues is C. 17%.
How much federal taxes have been withheld?= Fed tax till date / YTD Gross
= 662.26 / 6,318.17
= 10%
How much taxes and voluntary dues have been withheld?= (Fed tax + ST Tax + Med tax + Vol Due) / Current gross
= (111.42 + 17.09 + 12.25 + 2.5) / 845.10
= 17%
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let p be the perimeter of a rectangle, and let one side of the rectangle be x
PLEASE SHOW WORK
Answers
That is the length in terms of p and x.
L = p/2 - x
How to get the length of the other side in terms of x and p?
For a rectangle of length L and width W, the perimeter is:
P = 2*(L + W).
Here we know that the perimeter is p, so P = p, and let's say that the width is x.
Then we can write:
p = 2*(L + x)
Solving for L:
L = p/2 - x
That is the length in terms of p and x.
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The ratio of the number of picture books encyclopedias, and fairy tale books Annette had is 3:4:5 She have half of her encyclopedias to her brother and he gave her 5 books of fairytales Now she has 14 more books of fairy tales than encyclopedias How many picture books does she have
Answers
The number of picture books does Annette have is 76 books.
Given the ratio of picture books , encyclopedias and fairy tales books is 3:4:5 and she have half of her encyclopedias to her brother and he gave her 5 books of fairytales
We need to find the number of picture books does she have
According to the statement the total number of books does Annette have is
3k+4k+5k = 12k
Where k is total number of books
Now , Picture book she have = 3/12k = 1/4k
Encyclopedia she have = 4/12k = 1/3k
Fairy tale she have = 5/12k
Here,
Encyclopedia +14 = Fairy tale
Substituting the values of Encyclopedia and Fairy tale
(1/3 -1/2)k +14 = (5/12k -5 )
Therefore.
(1/6k+14) = (5k/12-5)
Therefore,
14+5 = 5k/12 - k/6
Therefore,
19 = 3k/12
19*4=k
76 = k
Here k = 76 books
Hence the total number of picture books does she have is 76
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A rectangular fence has a perimeter of 184 feet. The length is four feet less than three times the width. Find the length and the width. = 2+2
Answers
Answer:
lenth = 68 [ft]; width=24 [ft].
Step-by-step explanation:
1) if the length is 'l' and the width - 'w', then it is possible
2) to write the condition 'The length is four feet less than three times the width' as 3w-4=l;
3) to write the given perimeter as 2(w+l)=184.
4) then it is possible to make up the system:
[tex]\left \{ {{2(w+l)=184} \atop {3w-4=l}} \right. \ = > \ \left \{ {{w+l=92} \atop {3w-l=4}} \right. \ = > \ \left \{ {{w=24} \atop {l=68}} \right.[/tex]
Solve the inequality
Answers
Then divide all sides by -5
You should get
5 less than or equal to c less than or equal to 4
Hope this helped :)
Assume that 900 births are randomly selected and 4 at the births are girls. Use subjective judgment to describe the number of girls as significantly high, significantly low, or neither
Answers
The number of girls are significantly low.
What is Probability ?Probability is the study of likeliness of an event to happen.
It is given that
900 births are randomly selected
The probability of birth of a boy or a girl is 1/2 = 0.5
Total chances of a girl is 900 * 0.5 = 450
The birth of girl observed is 4
Therefore the number of girls are significantly low.
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Urgent
Solve a=P(1.3)^x/x
Answers
The equation of a=P(1.3)^{x/x} is mathematically given as
a=1.3P or P=a/1.3
What is the solution of a=P(1.3)^{x/x}?
Generally, the equation for the statement is mathematically given as
a=P(1.3)^{x/x}
Therefore,
a=P(1.3)^{x/x}
a=P(1.3)^1
a=Px1.3
a=1.3P or P=a/1.3
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Find the slope of a line perpendicular to a line through the given points. E(5, 7), F(3, 1)
Answers
Answer: -1/3
Step-by-step explanation:
The slope of the given line is [tex]\frac{7-1}{5-3}=\frac{6}{2}=3[/tex].
Thus, since perpendicular lines have slopes that are negative reciprocals of each other, the answer is -1/3
What are the values for y when x is 2, 4, and 6?
y = 20x + 7
Answers
When x is 4 y= 80+7 =87
When x is 6 y= 120+7 =127
Solve each inequality and graph the solution on a
number line.
a.) -12a +7 ≤31
b.) -9 > 3b +6
Answers
The solution for the first inequality is a ≥ 2 or a ∈ [2, ∞), and for the second inequality the solutions are b < -5 or b ∈ (-∞, -5)
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have two inequalities:
a.) -12a +7 ≤31
b.) -9 > 3b +6
a) -12a +7 ≤ 31
-12a ≤ 31 - 7
-12a ≤ 24
-a ≤ 2
a ≥ 2 (sign changed because multiplied by a negative number)
a ∈ [2, ∞)
b.) -9 > 3b +6
-15 > 3b
-5 > b
or
b < -5
b ∈ (-∞, -5)
Thus, the solution for the first inequality is a ≥ 2 or a ∈ [2, ∞), and for the second inequality the solutions are b < -5 or b ∈ (-∞, -5)
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The mean of 6 numbers is 17. Four of the numbers are 15, 17, 20, and 22. The remaining two numbers are each equal to x. Calculate the sum of the 06 numbers and the value of x.
Answers
Answer:
Sum of 6 no. = 102X = 14
Let the unknown no. be X
mean= sum of all no. / no. of terms
17 = 15 + 17 + 20 + 22 + X+ X / 6
17 * 6 = 74 + 2X
102 - 74 = 2X
28 = 2X
28/2 = X
14= X
The function f(x) = 40(0.9)x represents the deer population in a forest x years after it was first studied. What was the deer population when it was first studied?
a. 44
b.40
c. 36
d.49
Answers
Answer:
36
Step-by-step explanation:
40*.9
8) 3/
of the magazines sold at a newsagents were wedding magazines.
What is this as a percentage?
44
Answers
Answer:
0.0085× 100= 0.85℅
Step-by-step explanation:
okay so you want 3/8 from 44 as percentage but how can you put the 3/8 on top of the 44 to multilply it by 100 to get the percentage, ofcourse we will have to change the 3/8 into a whole number. To do that we are going to do the following.
= 3 ÷ 8 = 0.375, so here you got a number that you can put on the 44.
Now to get the percentage we are going to do this:
0.375/44 × 100
= 0.0085 × 100 ( I solved the 0.375/44 as you know that division always comes first in maths)
= 0.85℅ ( I solved the 0.0085 × 100)
°•°•° I hope this helped sorry for taking long °•°•° May I get brainliest if you liked my ans im trying to lvl up ty and its okay if you don't want to
If a patient is given 3 tablespoons of medication for me for 150 ML bottle how many millimeters of medication remain in the bottle
Answers
Answer:
105.6397
ROUNDED ANSWER:
105
What is the equation of the line of symmetry for the parabola represented by the equation y=−2(x−7)2+11?
Enter your answer as the correct equation, like this: x = 42
Answers
Answer:
I think its x = 7
I belive it is
Mr. Garret has a total of 20 students in his class. The number of female students is 4 less than twice the number of male students. How many female and how many male students does he have?
Answers
Answer:
8 male, 12 female
Step-by-step explanation:
male = x
female = 2x - 4
2x - 4 + x = 20
3x - 4 = 20
3x = 24
x = 8
2(8) - 4 = 12
there are 8 male, 12 female
four times a number is 48 less than 6 times the number
Answers
Answer:
the answer is 24
Step-by-step explanation:
6x - 48 = 4x
6x - 4x - 48 = 0
2x - 48 = 0
2x = 0 + 48
2x = 48
x = 24
ADVANCED COSTING AND MANAGEMENT ACCOUNTING
A car engine manufacturer is trying to make an assessment of its operations for the past year. The
entity operates a standard marginal costing system and manufactures a state-of-the-art engine for
which the following standard revenue and cost data per unit of product is available:
Selling price $60.00
Direct material A 2.5 kg at $8.50 per kg
Direct material B 1.5 kg at $6.00 per kg
Direct labour 0.45 hrs. at $30.00 per hour
Actual data for the twelve-month period was as follows:
Sales and production 48,000 units of the blaster were produced and sold for $2,904,000
Direct material A 121,900 kg were used at a cost of $1,005,675
Direct material B 67,200 kg were used at a cost of $420,000
Direct labour Employees worked for 18,900 hours, but 19,200 hours were paid at a cost
of $585,600.
Budgeted sales for the period were 50,000 units of Product Blaster. A recession last year meant
that the market for the product declined by 5%.
Required:
(a) Calculate the following variances.
(i) Sales volume variance.
Answers
The Sales Volume Variance of the car manufacturer for the twelve-month period is $96,000.
What is the sales volume variance?The sales volume variance measures the financial impact of not meeting or exceeding the budgeted sales for a period.
It can be computed by finding the difference between actual and budgeted sales quantities and then multiplied by the unit selling price.
Data and Calculations:Budgeted sales units = 50,000
Actual sales units = 48,000
Sales price per unit = $60
Actual sales revenue = $2,904,000
Budgeted sales revenue = $3,000,000 ($60 x 50,000)
Sales volume variance = $96,000 ($3,000,000 - $2,904,000)
Thus, the Sales Volume Variance is $96,000.
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Richards Corporation uses the FIFO method of process costing. The following
information is available for October in its Fabricating Department:
Units:
Beginning Inventory: 80,000 units, 60% complete as to materials and 20%
complete as to conversion.
Units started and completed: 250,000.
Units completed and transferred out: 330,000.
Ending Inventory: 30,000 units, 40% complete as to materials and 10%
complete as to conversion.
Costs:
Costs in beginning Work in Process - Direct Materials: $37,200.
Costs in beginning Work in Process - Conversion: $79,700.
Costs incurred in October - Direct Materials: $646,800.
Costs incurred in October - Conversion: $919,300.
Calculate the equivalent units of materials.
Answers
If Richards Corporation uses the FIFO method of process costing. The equivalent units of materials is 294,000.
Equivalent unit of material (FIFO)
Using this formula
Equivalent unit of material (FIFO) =[(Beginning inventory×Percentage complete)+Units started and complete+ (Ending inventory× Percentage complete as to materials)]
Let plug in the formula
Equivalent unit of material (FIFO) = [80,000×40%+250,000+30,000×40%]
Equivalent unit of material (FIFO) = 32,000+250,000+12,000
Equivalent unit of material (FIFO) = 294,000
Therefore the equivalent units of materials is 294,000.
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graph the line through (1,1) with slope 3/2
Answers
Answer:
y = (3/2)x - (1/2)
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept. You have been given the value of "m" (3/2). To find the value of "b", you should plug "m" into the equation in addition to the "x" and "y" values from the given point (1,1)
(1,1) ----> x = 1, y = 1
m = 3/2
y = mx + b <----- Slope-intercept form
y = (3/2)x + b <----- Plug (3/2) into "m"
1 = (3/2)(1) + b <----- Plug values into "x" and "y" from point
1 = (3/2) + b <----- Multiply (3/2) and 1
(2/2) = (3/2) + b <----- Change 1 into common denominator
(-1/2) = b <----- Subtract (3/2) from both sides
Because you now have values for both variables, you can construct your final equation.
y = (3/2)x - (1/2)
CAN SOMEONE PLS HELP ME WITH BOTH OF THESE QUESTIONS
EXPLANATION IS NOT NEEDED
WILL MARK BRAINLIEST
Answers
The amount in the new checking account is 600 dollars
The operation (5 α 3) + (7 α 5) is 46.
How to find the amount in the checking account?She had 1000 dollars in her checking account. she had a loan of 800 dollars to pay.
After paying her loan form her checking account the balance of the loan reduce to half.
Therefore, she paid 800 / 2 = 400 dollars for her loan
Hence,
Her new checking account = 1000 - 400 = 600 dollars
How to find value of an operation?
a α b = ab - a + b
Therefore,
(5 α 3) + (7 α 5)
(5 α 3) = 5(3) - 5 + 3 = 13
(7 α 5) = 7(5) - 7 + 5 = 33
Therefore,
(5 α 3) + (7 α 5) = 13 + 33 = 46
Note: I can't use the at symbol because it is a swear word.
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Whats the answer… also thats1/3
Answers
Lydia writes the equation below with a missing value.
y = 5 x minus box
She puts a value in the box and says that the equation represents a direct variation. Which explains whether the equation could represent a direct variation?
If she puts 0 in the box she would have a direct variation.
If she puts 5 in the box she would have a direct variation.
The equation is not of the form y = k x, so it cannot represent a direct variation.
The equation has a minus sign, so it cannot represent a direct variation.
Answers
If she puts 0 in the box she would have a direct variation.
Lydia writes the equation y = 5x - __ with a missing value.
She puts a value in the box and says that the equation represents a direct variation.
We have to choose the correct option from the given options that explain that the equation could represent a direct variation.
When two variables are such that one is a constant multiple of the other, we said they are in Direct variation.
What is the direct variation?
In form of y = ax, where y and x are in direct variation.
Consider the given equation y = 5x - __
For the equation to be in direct variation the value of the missing term has to be 0.
then the equation becomes,
y = 5x
Thus, If she puts 0 in the box she would have a direct variation.
Option (a) is correct.
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Answer:
a
Step-by-step explanation: