The required number of tasks should each employee do are 10.
What is Remainder?
The Remainder of the worth left after the division. In the event that a number (profit) isn't totally distinguishable by another number (divisor) we are left with a worth once the division is finished. This worth is known as the rest of. For instance, 10 isn't precisely separated by 3. Since the nearest esteem, we can get 3 x 3 = 9.
According to question:As there are 43 clean-up tasks that need to be completed,
And four employees
Number of task for one employee = 43/4 = 10, and 3 is remainder.
So, each employee does the 10 number of tasks, and 3 is obtain as a remainder.
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tubes of oil paint are on sale for $0.50 off. cody bought 6 tubes of paint on sale and paid a total of $25.80. write and solve an equation to find r, the regular price in dollars of each tube of oil paint.
0.50 off of each
6 tubes bought
So, saved
0.50 * 6 = $3
Paid 25.80 total for 6 of them (after sale). Saved $3. So, regularly it costed:
25.8 + 3 = $28.80
6 cost 28.80, so 1 cost:
28.80/6 = $4.80
Regular Price of each tube = $4.80 (r)
Note: Equation >>>
[tex]25.80+6\mleft(0.5\mright)=6r[/tex]Match each system of linear equations with the correct number of solutions.
1) Linear equation has no solutions.
2) It has one solution.
3) It has many solutions.
Define linear equation.The points where the lines representing the intersection of two linear equations intersect are referred to as the solution of a linear equation. In other words, the set of all feasible values for the variables that satisfy the specified linear equation constitutes the solution set of the system of linear equations.
Given,
Linear equations:
1) 3x - y = 4
6x - 2y = 8
Multiplying 3x - y = 4 by 2
6x - 2y = 8
6x - 2y = 8
0 = 0
It has no solutions.
2) -3x + y = 7
2x - 4y = -8
2(x - 2y ) = -8
x - 2y = -4
Multiplying x - 2y = -4 by 3
-3x + y = 7
3x - 12y = -12
-11y = -5
y = 5/11
It has one solution.
y = -4x -5
y = -4x + 1
It has many solutions.
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Write your answer as an integer or decimal to the nearest 0.5. 5 4 3 NO -3 3 4 -1 А -3 -4 B -5 )
Answer:
(-2.5, 4.5)
Explanation:
To know the coordinates of point D, we need to identify the projection of this point on the x-axis and the y-axis. So:
Since the projection in the x-axis is a number between -2 and -3 and the projection in the y-axis is a point between 4 and 5, the coordinates of D are:
(-2.5, 4.5)
michael is running for president. the proportion of voters who favor michael is 0.8. a simple random sample of 100 voters is taken. (a) what is the expected value of the sampling distribution of p?
The expected value of the sampling distribution of p is 0.8.
A statistic's probability distribution is called a sampling distribution when it is calculated from a larger number of samples taken from a particular population. The distribution of frequencies for a variety of outcomes that could possibly occur for a statistic of a population is known as the sampling distribution of that population.
The normal distribution, which is also known as the Gaussian distribution, is symmetric about the mean. It demonstrates that data close to the mean occur more frequently than data far from the mean. The normal distribution is depicted graphically as a "bell curve."
the sampling distribution of sample proportion will be a normal distribution with mean
[tex]\mu_{p}[/tex] = p = 0.8
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Can someone help? :)
Average rate of change of [tex]y = x^2 + 4x - 1\\[/tex] over the interval [tex]-4 \leq x \leq 1[/tex] is 1
What is average rate of change of a curve?
Average rate of change of a curve is equal to the slope of the curve and is obtained by dividing the change in functional value by the change in the value of the domain.
Here,
[tex]y = x^2 + 4x - 1\\[/tex]
At x = -4,
[tex]y = (-4)^2+ 4(-4)-1\\y = -1[/tex]
At x = 1
[tex]y = (1)^2 + 4(1) -1\\y = 4[/tex]
Average rate of change of [tex]y = x^2 + 4x - 1\\[/tex] over the interval [tex]-4 \leq x \leq 1[/tex]
= [tex]\frac{4 - (-1)}{1- (-4)}\\\\\\\frac{5}{5}\\\\1[/tex]
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when solving the following system of equations using the elimination method, what would be the appropriate first step?A) multiply the bottom equation by 2B) multiply the top equation by 4 C) subtract the system D) add the system
Answer:
A) multiply the bottom equation by 2
Explanation:
Our goal in using the elimination method is to eliminate one variable so that we can solve for another independently.
Therefore, the first step would be to multiply the bottom equation by 2 so that the term with x becomes -4x so that it can cancel when the bottom equation Is added to the equation at the top.
Multiplying the bottom equation by -2 gives
[tex]\begin{gathered} 2(-2x+5y=25) \\ -4x+10y=50 \end{gathered}[/tex]Now, our system becomes
[tex]\begin{gathered} 4x+7y=28 \\ -4x+10y=50 \end{gathered}[/tex]adding the two equations gives
[tex]\begin{gathered} 4x+7y=28 \\ -4x+10y=50 \\ -------------- \\ 17y=78 \end{gathered}[/tex]we can now solve for y and then use its value to find the value of x.
Therefore, the correct first step in solving the equations is to multiply the bottom equation by 2.
Christina needs a new pair of basketball shoes for the upcoming season. The original price of the shoes she wants is $79.99. The tax on the shoes is
3.4%. What is the amount of tax Christina will pay?
Answer:
Christina will pay $82.71 after tax
Find the rate of change of the line that contains the two points (-1, 4) and (5, 4). Be sure to show all calculations and reduce your slope to a fraction in simplest form.
The slope of the given points is 0
The given points are (-1, 4) and (5, 4)
Let the two points be A ( - 1, 4 ) and B ( 5, 4 )
The point A is present in the second quadrant and the point B is present in the first quadrant .
The slope of the given points can be calculated by the formula
m = y₂ - y₁ / x₂ - x₁
here y₂ = 4
y₁ = 4
x₂ = 5
x₁ = - 1
The slope is equal to 4 -4 / 5 - ( - 1 ) = 0
thus the slope of the given points is 0.
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Find AC
Picture has math problem
Please hurry
The measure of side AC from the triangle ABC is 57 units.
Given that, ∠BTC=(3x+3)°, CT=x+8 and TA=x-9.
What is the altitude length?The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex.
Here, BT is an altitude
The altitude of a triangle is the perpendicular to the opposite side of triangle.
Now,
(3x+3)°=90°
⇒ 3x=87
⇒ x=29
So, CT=x+8
= 29+8=37
TA=x-9
=29-9=20
So, AC=CT+TA
= 37+20
= 57 units
Therefore, the measure of side AC from the triangle ABC is 57 units.
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Given the graph f(x)=4^x write a function that results from each given transformation. A. f(x)=4^x is shifted 4 units up. What is the equation of the new function?B. f(x)=4^x is shifted 3 units down. What is the equation of the new function?C. f(x)=4^x is shifted 2 units left. What is the equation of the new function?D. f(x)=4^x is shifted 5 units right. What is the equation of the new function?E. f(x)=4^x is reflected about the x-axis. What is the equation of the new function?F. f(x)=4^x is reflected about the y-axis. What is the equation of the new function?
Given:
There are given that the function:
[tex]f(x)=4^x[/tex]Explanation:
To find any transformation, we need to use the parent function which is given.
Then,
(A): Shifted 4 units up:
[tex]\begin{gathered} f(x)=4^x \\ f(x)=4^x+4 \end{gathered}[/tex]Hence, the new function is shown below:
[tex]f(x)=4^x+4[/tex](B): Shifted 3 units down.
Then,
[tex]\begin{gathered} f(x)=4^x \\ f(x)=4^x-3 \end{gathered}[/tex]Hence, the new function is shown below:
[tex]f(x)=4^x-3[/tex](C): Shifted 2 units left:
Then,
[tex]\begin{gathered} f(x)=4^x \\ f(x)=4^{x+2} \end{gathered}[/tex]Hence, the new function is shown below:
[tex]f(x)=4^{x+2}[/tex](D): Shifted 5 units right.
[tex]\begin{gathered} f(x)=4^x \\ f(x)=4^x-5 \end{gathered}[/tex]Hence, the new function is shown below:
[tex]f(x)=4^x-5[/tex](E); Reflected about x-axis:
[tex]\begin{gathered} f(x)=4^x \\ f(x)=-4^x \end{gathered}[/tex]Hence, the new function is shown below:
[tex]f(x)=-4^x[/tex](F): Reflected about the y-axis:
Then,
[tex]\begin{gathered} f(x)=4^x \\ f(x)=4^{(-x)}_{} \end{gathered}[/tex]Hence, the new function is shown below:
[tex]f(x)=4^{(-x)}_{}[/tex]
Write these two terms as a sum, then write in standard form: 4b and the opposite of 4b+ 20
We have
4b
And the opposite of "4b + 20" is:
[tex]\begin{gathered} -(4b+20) \\ -4b-20 \end{gathered}[/tex]We can write the sum of these 2 expressions as:
[tex]\begin{gathered} (4b)+(-4b-20) \\ =4b-4b-20 \\ =-20 \end{gathered}[/tex]Use the isosceles trapezoid ABCD to answer the following questions.DA. If mZA = 45°, find the measure of the angles:mLB=mLC=mLD-B. If AC = 3x - 16 and BD = 10x - 86, find x.X=
In an isosceles trapezoid, we can find symmetries in angles and side lengths.
For example, Angles A and B are congruent, i.e., they have the same measure
Angles D and C are also congruent.
How far from the farmhouse will the airplane be after it has traveled 4 miles at the same altitude?
Given:
Altitude = 3 miles
Let's determine how far from the farmhouse the airplane will be if it has travelled 4 miles at the same altitude.
The figure below represents this situation:
To find the distance, apply pythagorean theorem:
[tex]c^2=a^2+b^2[/tex]Where:
a = 3 miles
b = 4 miles
Thus, we have:
[tex]\begin{gathered} c^2=3^2+4^2 \\ \\ c^2=9+16 \\ \\ c^2=25 \end{gathered}[/tex]Take the square root of both sides:
[tex]\begin{gathered} \sqrt[]{c^2}=\sqrt[]{25} \\ \\ c=5 \end{gathered}[/tex]Therefore, the distance between the airplane and the farmhouse is 5 miles.
ANSWER:
5 miles
PLEASE HELP ME OUT WITH THIS X^2+10x+25
Answer:
(x+2)(x+5)
Step-by-step explanation:
the difference between 75% of a number and 20% of the same number is 378.9 what is 40% of that number?
Thus, the 40% of the number is
[tex]688.909\cdot0.4=275.563[/tex]10.Which of these operations should be completed firstwhen solving an equation?a. xb. +c. ()d. +
Given the list of symbols:
x, +, ( ), ÷
Let's determine the operations that should be completed first when solving an equation.
To solve an equation, we are always required to apply the PEMDAS theorem.
PEMDAS is an acronym for:
0. P,arentheses
,1. E,xponents
,2. M,ultiplication
,3. D,ivision
,4. A,ddition
,5. S,ubtraction.
This shows the order in which the operations in an equation should be solved.
We can see that the first operation which is to be completed is the parenthesis.
Therefore, using the PEMDAS theorem, the operation that should be first completed when solving an equation is the parenthesis ().
ANSWER:
C. ( )
what are expressions that are equivalent to 2²×7²
The value equivalent to the expression 2² × 7² is 196.
What is an equation? What is a coefficient?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. In a equation say : ax + b, [a] is called coefficient of [x] and [b] is independent of [x] and hence is called constant.
We have the following expression -
2² × 7²
The given expression is -
2² × 7²
Solving, we get -
(2 x 2) x (7 x 7)
4 x 49
196
Therefore, the value equivalent to the expression 2² × 7² is 196.
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Please help me, I'd be more than happy to contribute.
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: write the given function
[tex]y=f^{^{\prime}}(x)[/tex]STEP 2: Define the points at which a graph is increasing.
We say that a function is increasing on an interval if the function values increase as the input values increase within that interval. The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.
STEP 3: Show the points where the graph was increasing
We write the x coordinates of the intervals, therefore the intervals will be:
[tex](-2,2)[/tex]Find the area of the trapezoid.A trapezoid with the top base labeled two feet and the bottom base labeled ten feet. The height is labeled four feet.
To solve this problem, we will use the following formula for the area of a trapezoid:
[tex]A=\frac{1}{2}(B+b)h,[/tex]where B and b are the lengths of the bases and h is the height.
Substituting B=10 ft, b=2 ft, and h=4 ft in the above formula, we get:
[tex]A=\frac{1}{2}(2ft+10ft)4\text{ ft.}[/tex]Simplifying we get:
[tex]A=24ft^2\text{.}[/tex]Answer:
[tex]24ft^2\text{.}[/tex]The post office can send packages that weigh at most 70 pounds. Marcus wants to send as many 6-pound bags of macadamia nuts as possible in one package. Which inequality can be used to determine the number of bags, b, of nuts Marcus can send in one package?
Answer: 11
Step-by-step explanation: 70 divided by 6 is 11.6
Which complex number's graph is shown? 1 2 3 4 -1 و زر زر مع -3 37 O A. 2J7(cos 3* i sin O + 32T 4 O B. 2.2(cos 225° + i sin 225º) O C. 2lcos 2(cos 7+isin 4 4 D. -2(co 5135° + i sin135)
The point (-2,2), we need to evaluate each case
In this case, for the real part we need to obtain -2
[tex]_{}2\sqrt[]{2}(\cos (\frac{3\pi}{4}))=-2[/tex]For the imaginary part, we need to obtain 2
[tex]2\sqrt[]{2}(\sin (\frac{3\pi}{4}))=2[/tex]As we can see the complex number that is shown in the graph is
[tex]2\sqrt[]{2}(\cos (\frac{3\pi}{4})+i\sin (\frac{3\pi}{4}))[/tex]ANSWER
A.
60 POINTS!!! HELPFind any asymptotes or holes in the function below. Explain how you arrived at your answer. SHOW YOUR WORK AND THE STEPS YOU TOOK.
The function given is,
[tex]y=\frac{x-6}{(x-1)(x-6)}[/tex]Since , the leading coefficient of numerator is less than the leading coefficient of denominator .
Therefore, there is no horizontal asymptotes.
For finding the vertical asymptotes, substitute the denominator is equal to 0.
[tex](x-1)=0\text{ , }(x-6)=0[/tex][tex]x=\text{ 1,6.}[/tex]The vertical asymptotes are 1 and 6.
To find the hole in the function,
[tex](x-6)[/tex]is crossed out in numerator and denominator.
So, if we set up x-6 equals to 0.
The hole in the function is, when
[tex]x=6.[/tex]A guy wire runs from the top of a cell tower to a metal stake in the ground. Penelope
places a 12-foot tall pole to support the guy wire. After placing the pole, Penelope
measures the distance from the stake to the pole to be 5 ft. She then measures the
distance from the pole to the tower to be 21 ft. Find the length of the guy wire, to the
nearest foot.
Answer:
68 ft
Step-by-step explanation:
You want the length of a guy wire from a stake to the top of a cell tower if the stake is 5 ft from a 12-ft pole that is 21 ft from the tower. The guy wire crosses the top of the pole.
TrianglesThe attached diagram shows the geometry. The smaller triangle is a right triangle with legs 5 and 12. Its hypotenuse is ...
c = √(5² +12²) = √169 = 13
The larger triangle is similar and has a base of 21+5 = 26 units. This means its hypotenuse, the length of the wire, will be 26/5 times the length of the hypotenuse of the smaller triangle.
guy wire length = (26/5)(13 ft) = 67.6 ft ≈ 68 ft
The length of the guy wire is about 68 feet.
8. Jase earns $5.00 per lawn mowed and $5.00 per car washed. Let m be the number of lawns mowed and let c be the number of cars washed. Select all the expressions that could represent the total earned, in dollars, by Jase. A 5(m + c) (B) 5m + c C 5+mc D 5c + m E 5m+5c
The expressions that can be used to represent the total earned amount is 5(m + c) and 5m + 5c (option A and D).
What are the expressions that represent the total amount earned?In mathematics, an expression is a statement that is made up variables and numbers that are linked together by a mathematical operation.
The total amount earned by Jase is the sum of the total amount earned from mowing the lawn and from washing cars.
Total amount earned = total amount earned from washing cars + total amount earned from mowing lawns
Total amount earned = (cost per lawn mowed x total lawns mowed) + (cost per car washed x number of cars washed)
Total amount earned = ($5 x c) + ($5 x m)
Total amount earned = $5c + 5m
Total amount earned = $5( c + m)
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Return Submit et Income 10 1 point If Betty has a gross income of $3000 a month, what would her total deductions be for the table? Deduction Percentage of gross income 6.2% Type your answer... Social Security Medicare 1.45% Income tax 12.5% Medical $300 Submit Previous
The answer is very simple
The total deductions would be
total deductions = 3000*0.062 + 3000*0.0145 + 3000*0.125 + 300
total deductions = 904.5
Convert 6 feet per hr to miles per year
We can convert this using the following conversion process:
[tex]\frac{6ft}{h}\cdot\frac{1mile}{5280.0196ft}\cdot\frac{1h}{0.0001141\text{year}}=9.9593\text{mile}/\text{year}[/tex]Therefore, the equivalent is 9.9593miles/year.
PLEASE ANSWER QUICKLY I WILL GIVE BRAINLIEST
For the data set below, which does the value 24 represent?
21, 30, 24, 26, 25, 22, 38, 19, 20
median
range
mode
mean
standard deviation
Answer:
The value of the mean, median, and mode will be 22.4, 22, and 26. Then the correct option is A.
What are statistics?
Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.
The data set is given below.
18, 19, 20, 21, 23, 26, 26, 26
Then the mean will be
Then the median will be
Then the mode is given as
26
Step-by-step explanation:
Solve you may use fraction circle pieces to help you you don’t really have to use
1) Let's use the fraction circles then to solve this sum of fractions:
1) Note that since these fractions do not have the same denominator we can write out the following. Placing the LCM as the denominator\div
[tex]\begin{gathered} a)\frac{1}{2}+\frac{1}{4}=\frac{4\div2\times1+4\div4\times1}{4}=\frac{3}{4} \\ b)LCM(2,4)=4 \\ \frac{1}{2}+\frac{3}{4}=\frac{4\div2\times1}{4}+\frac{4\div4\times3}{4}=\frac{5}{4} \\ c)\text{LCM(4,}8)=8 \\ \frac{3}{4}+\frac{1}{8}=\frac{6+1}{8}=\frac{7}{8} \\ d)\text{LCM(}4,8)=8 \\ \frac{1}{4}+\frac{3}{8}=\frac{2+3}{8}=\frac{5}{8} \end{gathered}[/tex]Note that for 'c' and "d" we have made it faster. Since this is the same principle.
please help asap !!!!!!! <33 I'll mark you as the brainliest
Answer:
n = 3
Step-by-step explanation:
Hope this helps you! :))
Answer:
n= 3
Step-by-step explanation:
when there is a multiplication with the same base, you can rewrite the base and make the sum of the exponents
3^(5+n) = 3^8
5 +3 = 8
so n=3
True or False
Directions: On the line before each statement, write T if the statement is true or F if the statement is false.
6. Seafloor spreading takes place along a mid-ocean ridge.
7. Oceanic crust is older when it is closer to a mid-ocean ridge than it is when
it is farther from the ridge.
8. The high thermal-energy flow at a mid-ocean ridge comes from seawater.
9. Magnetic bands on the ocean floor are evidence that Earth's magnetic field
changes.
10. Knowledge of seafloor spreading could have helped Alfred Wegener gain more
support for his hypothesis of continental drift.
Answer:
6.T
7.F
8.F
9.T
10.T
Step-by-step explanation:
I also took the test and these where my correct answers