The system of equation to describe Tammy and Luke's outcome is as follows:
5x + y = 23
8x + 5y = 30
How to use system of equation to represent the outcome?Tammy and Luke take part in a game in which they earn the same number of points for each catch and lose the same number of points for each miss.
let
x = number of points for a catch
y = the number of points for a miss.
Tammy makes 5 catches and misses 1, ending the game with 23 points.
Therefore,
5x + y = 23
Luke earns 8 catches and has 5 misses. Luke ends the game with 30 points. Therefore,
8x + 5y = 30
Hence, the combine equation to describe the outcome is as follows:
5x + y = 23
8x + 5y = 30
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If f(x) = log (x/4) and g(x) = 2 log x, find (g – f) (x).
Answer:
To find (g – f)(x), we need to subtract f(x) from g(x). We can do this by substituting the expressions for f(x) and g(x) into the difference:(g – f)(x) = g(x) – f(x)
= (2 log x) – (log (x/4))We can simplify this expression by using the fact that log a - log b = log (a/b). Applying this fact, we get:(g – f)(x) = (2 log x) – (log (x/4))
= log ((x^2) / (x/4))
= log (4x)Therefore, (g – f)(x) = log (4x).
Step-by-step explanation:
Step-by-step explanation:
To find (g – f)(x), we can subtract f(x) from g(x):
(g – f)(x) = g(x) – f(x)
= 2 log x – log (x/4)
Using the logarithm identity log a - log b = log (a/b), we can rewrite the expression as:
(g – f)(x) = log x^2 - log (x/4)
= log (x^2/(x/4))
= log (4x)
Therefore, (g – f)(x) = log (4x).
$10.982 to the nearest ten cents
Answer:
$11.0
I hope the image below explains a bit as well
I hope my answer helps you.
If 5/33 is expressed in decimal form, what digit is in the 92nd place to the right of the decimal point?
Answer: 5
Step-by-step explanation:
If you plug 5/33 into a calculator (or just solve with long division), you'll find that it makes 0.151515... (with 15 repeating forever.)
In every EVEN decimal place there's a 5, but in every ODD decimal place there's a 1. (The first decimal place is 1, the second is 5, etc.)
Since 92 is an even number, there is a 5 in the 92nd decimal place.
Express 40 g as a percentage of 2 kg.
=2%
Step-by-step explanation:2 kg = 2000 g
x% of 2000 = 40
x/100 × 2000 = 40
x = 2%
Here is an inequality: 7 x+6<3 x+2.
Select all values that are solutions.
(Select all that apply.)
x=1
x=0
x=-1
x=-2
x=-8
By solving a linear inequation, it can be calculated that
The values that are solutions are
x= -2 and x= -8
What is linear inequation?
Inequation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by >, <, ≥, ≤
A one degree inequation is known as linear inequation.
Here the inequation is 7x + 6 < 3x + 2
7x + 6 < 3x + 2
7x - 3x < 2 - 6
4x < - 4
x < [tex]-\frac{4}{4}[/tex]
x < -1
So the values that are solutions of the inequation are
x=-2 and x=-8
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Which of the following is not factor of f(x)?
Answer:
[tex](x-2)[/tex]
Step-by-step explanation:
[tex]f(2)=-40 \\ \\ f(-8)=0 \\ \\ f(3)=0 \\ \\ f(-2)=0[/tex]
By the factor theorem, [tex](x-2)[/tex] is not a factor.
Write the ratio 0.1 to 0.2 as a simplified fraction
could anyone help this is so confusing
Step-by-step explanation:
I and somebody else answered this already. how often did you post this ?
DUE SOON PLEASE HELP! WHAT ANGLES SHOW THAT LINE 1 AND 2 ARE PARALLEL AND WHY!
Answer:
Both e and h and a and c
Step-by-step explanation:
e and h are corresponding angles on a transversal. Lines are parallel when the corresponding angles of a transversal have the some degree of measure
Same goes for a and c
e and g are not because g doesn't correspond to e because g is in 2 transversals.
Which of the following is equivalent to
4√5
(A)
√20
(B) √50
(C) √80
(D) √100
Answer:
(C) Square root of 80
Step-by-step explanation:
4²=16
16x5=80
The relative frequency distribution describes the number of observations that fall within each class. O proportion of observations that fall within each class. O number of observations that are within or below each of the classes. O proportion of observations that are within or below each of the classes. O none of these is correct.
True statement is number of observations that are within or below each of the classes.
Describe relative frequency.A relative frequency describes how frequently a particular kind of event happens among all observations. It is a kind of frequency that employs fractions, percentages, and proportions. The ratio of the total number of events occurring in a scenario to the number of times an event occurs is known as relative frequency. Relative Frequency = Subgroup Frequency/Total Frequency is the formula for relative frequency. A relative frequency count is a way to count how many times an event happens compared to all the other events. It can be described as a percentage. It is frequently represented as a percentage as well.
Given
The relative frequency distribution describes the number of observations that fall within each class.
Statement which is true is,
Number of observations that are within or below each of the classes.
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Harbors Petty cash fund 100 the fund is 19 postage 40 supplies 26 travel 15
The journal entry to record the replenishment of the petty cash fund shows a debit of $45 , $25 and $8 and a net credit of $78.
Replenishment of the Petty Cash Fund:
Petty cash refers to a small amount of fund that can be used for the day to day expenses for which disbursement of checks will not be suitable. As and when the petty cash balance is being used and reduced, the fund custodian requests and receives cash from the company's regular checking account, in order to maintain the same petty cash balance it initially had, which is nothing but the replenishment of the petty cash fund.
The journal entry to record the replenishment of the petty cash fund is made below:
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Complete question is given below :
On March 20, Harbor's petty cash fund of $100 is replenished when the fund contains $22 in cash and receipts for postage $45, supplies $25, and travel expense $8.
Prepare the journal entry to record the replenishment of the petty cash fund.
The Cash account is credited, Reflecting the decrease in the petty cash fund due to the various expenses incurred.
The expenses made from the Harbor's petty cash fund, we need to record the appropriate entries to reflect the decrease in cash for each expense category. Based on the given information, the expenses include $19 for postage, $40 for supplies, $26 for travel, and $15 for miscellaneous expenses.
1. Postage Expense:
To record the expense for postage, we will debit the Postage Expense account and credit the Cash account. Assuming the Postage Expense account has a normal debit balance:
Postage Expense $19
Cash $19
2. Supplies Expense:
For supplies expenses, we will debit the Supplies Expense account and credit the Cash account:
Supplies Expense $40
Cash $40
3. Travel Expense:
To account for the travel expenses, we will debit the Travel Expense account and credit the Cash account:
Travel Expense $26
Cash $26
4. Miscellaneous Expense:
Lastly, for the miscellaneous expenses, we will debit the Miscellaneous Expense account and credit the Cash account:
Miscellaneous Expense $15
Cash $15
After recording these entries, the petty cash fund will have been reduced by the total expenses. It's important to note that the remaining balance of the petty cash fund should be adjusted accordingly.
the journal entries to account for the expenses from the Harbor's petty cash fund are as follows:
Postage Expense $19
Cash $19
Supplies Expense $40
Cash $40
Travel Expense $26
Cash $26
Miscellaneous Expense $15
Cash $15
These entries ensure that the appropriate expense accounts are debited and the Cash account is credited, reflecting the decrease in the petty cash fund due to the various expenses incurred.
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10. The figures below are similar.
State the ratio of similarity and then use it
to find the value of x. (2 points)
Answer:
x = 16.5
Step-by-step explanation:
the ratio of similarity is the ratio of corresponding sides, that is
ratio = [tex]\frac{18}{12}[/tex] = [tex]\frac{15}{10}[/tex] = 1.5
Then
[tex]\frac{x}{11}[/tex] = 1.5 ( multiply both sides by 11 to clear the fraction )
x = 16.5
How many real solution are there in equation[tex]\frac{(x-2)(x-3)}{(x-3)(x-4)} =-1[/tex]
Answer:
0
Step-by-step explanation:
[tex]\frac{x-2}{x-4}=-1, x \neq 3 \\ \\ x-2=-x+4 \\ \\ 2x=6 \\ \\ x=3[/tex]
This contradicts the domain restriction, so there are no real solutions.
Answer: 0
Step-by-step explanation:
Suppose that f(x) = x² and g(x)=2/5x². Which statement best compares the
graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) compressed vertically.
B. The graph of g(x) is the graph of f(x) stretched vertically.
C. The graph of g(x) is the graph of f(x) compressed vertically and
reflected over the x-axis.
OD. The graph of g(x) is the graph of f(x) stretched vertically and
reflected over the x-axis.
Question Progress
Homework Progress
110/122 Marks
Four whole numbers are each rounded to the nearest 10
The sum of the four rounded numbers is 90
What is the maximum possible sum of the original four numbers?
The maximum amount of the original four numbers is 110.
What is the whole number?
A whole number is simply any positive number that does not include a fractional or decimal part. This means that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 are all whole numbers.
Four whole numbers are each rounded to the nearest 10, which means each number can go +5 or -5.
The sum of the rounded numbers is 90, the maximum amount of the original four numbers is if +5 are added with each 4 original number.
So each number would have an extra +5.
And then the maximum number is 90 + (5 x 4) is equal to 110.
Or if the rounded-up no. were 10, 20, 30, 30.
The sum of these numbers is 90.
They can go up to 15,25,35,35.
So the sum of this is 110.
Hence, the maximum possible sum of the original four numbers is 110.
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What rigid motion maps the solid-line figure onto the dotted-line figure?
A. reflection
Brotation
Ctranslation
The rigid motion of the solid line figure is translated to the dotted line figure.
How to find the rigid motion maps a solid line?Translation describe a function that moves an object a certain distance.
In a translation, every point of the object must be moved in the same direction and for the same distance.
In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.
Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation
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Assume that a company makes only one product, maintains no beginning or ending inventories, and uses a standard costing system. The standard cost card for that product is shown below:
Standard Quantity or Hours Standard Price or Rate Standard Cost
Direct materials 3 pounds $ 13.00 per pound $ 39.00
Direct labor 2 hours $ 16.00 per hour $ 32.00
Fixed manufacturing overhead 2 hours $ 8.00 per hour $ 16.00
The company purchased 22,000 pounds of direct materials from its supplier at a cost of $12.50 per pound. The company used 22,000 pounds of direct material to start and complete 7,800 units of finished goods during the period. Its direct laborers worked 16,000 hours and were paid a total of $248,000. Based on this information, the total manufacturing cost transferred from Work in Process to Finished Goods would be:
Garrison 17e Rechecks 2020-09-29
Multiple Choice
$647,800.
$678,600.
$667,400.
$654,700.
Group Ends
There is no difference between the standard and actual expenses of direct labor because the company spent a total of $248,000 on such costs over the period.
How to calculate labor cost ?To determine the total increase recorded in the Work in Process account related to direct labor, we need to first calculate the total standard cost of direct labor for the period and then compare it to the actual cost of direct labor.
According to the standard cost card, each unit of the product requires 2 hours of direct labor at a rate of $16.00 per hour.
This means that the total standard cost of direct labor for the period is 2 * $16.00 * 7,800 = $248,000.
Since the company paid a total of $248,000 in direct labor costs during the period, there is no difference between the standard and actual costs of direct labor. Therefore, the total increase recorded in the Work in Process account related to direct labor would be $0.
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A triangle has one angle that measures 25 degrees, one angle that measures 104 degrees, and one angle that measures
51 degrees.
What kind of triangle is it?
OA. equilateral triangle
OB. right triangle
OC. acute triangle
OD. obtuse triangle
Answer:
D) Obtuse triangle
Step-by-step explanation:
Obtuse triangles have an angle greater than 90 degrees, and this triangle has an angle of 105.
The heights of adult men are normally distributed. The heights (in inches) of 9 adult males are given below. 72, 71, 71, 68, 68.75, 70.25, 72, 70.25, 68.25 A physician believes that the mean height of adult men is larger than 69.9 inches. Test the physician’s claim at the α = 0.05 level of significance.
Mean=70.11
Std=1.58
Answer:
71
Step-by-step explanation:
What value(s) of b will cause 27x2 + bx + 3 = 0 to have one real solution? Select all that apply.A. b = −18. B. b = −9. C. b = 9. D. b = 18.
The value of b is 18 that will cause equation 27x² + bx + 3 = 0 to have real solution.
What is a quadratic equation?A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.
The standard form of a quadratic equation is ax² + bx + c = 0.
Where a, b and c are constants.
The given equation is,
27x² + bx + 3 = 0.
Compare the given equation from the standard quadratic equation
ax² + bx + c = 0
Compare both the equations,
a = 27, b = b , c = 3
To find the real solution of the quadratic equation,
Substitute discriminant of the equation equal to zero.
D = 0
b² - 4ac = 0
b² - 4 x 27 x 3 = 0
b² = 4 x 81
b = 2 x 9
b = 18.
The required value of b for the given equation is 18.
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The ______ is a measure of the error in using the estimated regression equation to predict the values of the dependent variable in a sample.
A. sum of squares due to regression (SSR)
B. sum of squares due to error (SSE)
C. erorr term
D. residual
B. squares due to error (SSE) is the correct option.
What is squares due to error (SSE)?
Sum Squared Error (SSE) is an accuracy metric that squares the mistakes before adding them. When the data points are of equal magnitude, it's utilised to assess the forecasting model's accuracy. The forecast is more precise the lower the SSE. Choosing the forecasting model that best suits your data will be made easier for you if you are aware of this accuracy statistic.
The sum of squares due to error (SSE) is a measure of the error in using the estimated regression equation to predict the values of the dependent variable in a sample.
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Write the tangent equation to solve for angle f
Answer:
tan θ = 24/7
Angle F = tan⁻¹(24/7) = 73.7° (1 d.p.)
Step-by-step explanation:
tan θ = Opposite/Adjacent
Opposite side is the side opposite angle θ
Adjacent side is the side next to the right angle and the angle θ
θ = Angle F
tan θ = 24/7
Angle F = tan⁻¹(24/7) = 73.7 (1 d.p.)
What is the dislance belween the points (4,-7) and (-5, -7)?
Answer:
Therefore the distance between the points is 9 units.
__________________________________________________________
Hello! In this question, we will find the distance between the two given points.
__________________________________________________________
Explanation:
In this problem, we were given the points:
(4,-7)(-5, -7)In order to find the distance between the two points, we will use our given information and plug it into the distance formula:
[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
In this case, our values would be:
__________________________________________________________
Solve:
Plug in the values into the formula above and solve:
[tex]d = \sqrt{(-5-4)^2+(-7-(-7))^2}\\\\d=\sqrt{(-9^)^2+(0)^2}\\\\d=\sqrt{81}\\\\\boxed{d=9}[/tex]
__________________________________________________________
Answer:
The distance between the two points would be [tex]\boxed{\text{9 units}}[/tex]
__________________________________________________________
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Suppose the amount of medication, A, that remains in your bloodstream is inversely
proportional to the number of minutes, t, since the medication was taken. Which
would be the general formula for this relationship?
a) A = k/t
b) A = kt
c) A = 1/t
d) A = -t
The general formula for the relationship amount of medication, A, that remains in your bloodstream is inversely proportional to the number of minutes is a) A = k/t.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
We know we can write y is inversely proportional to x as,
y ∝ 1/x.
y = k/x, where k is the constant of proportionality.
Therefore, The amount of medication, A, that remains in your bloodstream is inversely proportional to the number of minutes, t can be written as,
A = k/t.
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The wheel of a covered wagon has a diameter of 2 feet what is the wheels circumference?
Answer: ≈75.4 inches
Step-by-step explanation:
C=2πr
Step 1) Half of the diameter is the radius, and 2 feet equals 24 inches, so 24÷2= a radius of 12 inches
Step 2) Plug the radius into the equation: C=2π(12)=75.4 inches
is an altitude in triangle WXZ.
Triangle W X Z is shown. An altitude is drawn from point W to point Y on side Z X, forming a right angle. Angles Z W Y and W X Y are congruent.
If ΔYWZ ~ ΔYXW, what is true about AngleXWZ?
AngleXWZ is an obtuse angle.
AngleXWZ is a right angle.
AngleXWZ is congruent to AngleWXY.
AngleXWZ is congruent to AngleXZW.
Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.
Define angle.In planar geometry, an angle is a shape made up of two rays or lines that share an endpoint. The Latin word "angulus," which means "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees. In geometry, there are several different kinds of angles.
Given,
Triangle W X Z is shown. On side ZX, an altitude is drawn at a right angle from point W to point Y. The angles ZWY and WXY are congruent.
ΔYWZ ~ ΔYXW
Angle XWZ is a right angle is true about Angle XWZ.
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Answer:Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.
Step-by-step explanation:
Got it right on edge
Heather plans to make monthly payments of $800 for next 25 years and into it an annuity offering and annual interest rate of 4.8% how much money will she have in 25 years round to the nearest hundred
Answer:
formula
= Pmt [(1 + i/n)^nt - 1] / (i/n)
answer in picture hihi ^_^
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Banks offer different rewards/perks depending on how much money you have in your account.
A) True
B) False
Fill in the blanks 30 = 27 __ ___x 9 = 54 81 / ___ = 92 = ___ / “” 58 x ___ = 32 “” 72 / ___ = 8 “” 7* __ = 49
Answer:
30 = 27 __ 3 x 9 = 54
81 / __9 = 9
2 = __4 / 8
58 x __6 = 32
72 / __8 = 9
7* __7 = 49
Step-by-step explanation: