The total commission Fred was paid for that month is $2570.5.
Given that, Fred sells new and used kayaks.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let the number of kayaks be x and the total amount of money Fred get paid per week be y.
A) An equation for the way Fred is paid.
So, equation is y =395.50 +12.5% of x
⇒ y=395.50 +0.125x
B) Last month, the total value of the kayaks he sold was $17400.
Here, x=17400
So, y=395.50 +0.125×17400
= $2570.5
Therefore, the total commission Fred was paid for that month is $2570.5.
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At a benefit concert, nine bands have volunteered to perform but there is only enough time for five of the bands to
play. How many lineups are possible?
Answer:
126 lineups
Step-by-step explanation:
This is a problem in combinatorics which asks in how many ways can a subset of 5 be formed from a larger set of 9
In general, if you were to see how many ways a subset of [tex]r[/tex] can be formed from a larger subset [tex]n[/tex] denoted by [tex]nC_r[/tex] we use the formula
[tex]nC_r = \dfrac{n!}{ r! (n - r)! }[/tex]
There are calculators that can compute this and I used a scientific calculator to do so.
[tex]9C_5 = 126[/tex]
I need alot of help with this question???
Answer:
no clue bro just help yourself
Step-by-step explanation:
add them
or multiply or divide or subtract and you'll get it
As Jupiter and Earth travel along their respective orbits, what happens to the one-way communication time of radio waves carrying information between the two planets?
The one-way communication time between the Jupiter and Earth increases.
What are radio waves?Radio waves are a type of electromagnetic radiation with the longest wavelengths in the electromagnetic spectrum, typically with frequencies of 300 Ghz and below.
Given is that Jupiter and Earth travel along their respective orbits.
As the Jupiter and Earth travel along their respective orbits, they start to get apart from each other. This leads to an increase in one-way communication time.
Therefore, the one-way communication time increases as the Jupiter and Earth travel along their respective orbits.
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6z+2y=10 solve for y
Answer:
[tex]y = 5 - 3z[/tex]
Step-by-step explanation:
[tex]6z+2y=10[/tex]
divide by 2
[tex]3z + y = 5[/tex]
move the terms
[tex]y = 5 - 3z[/tex]
HELP I BEG
Which statement correctly applies mathematical reasoning to find the possible values for x in the equation x − 1.4 = 1.8?
x is between 0.2 and 1.8
x is greater than 1.8
x is less than 1
x is less than 0.2
Answer:
[tex]x[/tex] is greater than 1.8
Step-by-step explanation:
Adding 1.4 to both sides of the equation yields [tex]x=3.2>1.8[/tex].
The required reasoning for the given expression is that x is greater than 1.8. Option B is correct.
What is the expression?The expression is the relationship between variables and represented as y = ax + b is an example of a polynomial expression.
here,
Given expression,
x - 1.4 = 1.8
The above expression refers that, when we subtract 1.4 from x it gives 1.8, which implies that x is a number greater than 1.8.
So the reasoning can be complied as x is greater than 1.8.
Thus, the required reasoning for the given expression is that x is greater than 1.8. Option B is correct.
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among all simple closed curves in the plane oriented counterclockwise find the one alon which the work done
Using the Green's Theorem, the one along which the work done by the force is 11π/16.
In the given question we have to find the one along which the work done by the force is the greatest.
The given closed curves in the plane is
[tex]F(x,y)=\left(\frac{x^{2}y}{4} + \frac{y^3}{3}\right)\hat{i}+x\hat{j}[/tex]
Suppose C be a simple smooth closed curve in the plane. It is also oriented counterclockwise.
Let S be the interior of C.
Let P = [tex]\frac{x^{2}y}{4} + \frac{y^3}{3}[/tex] and Q = x
So the partial differentiation is
[tex]\frac{\partial P}{\partial y}=\frac{x^2}{4}+y^2[/tex] and [tex]\frac{\partial Q}{\partial x}[/tex] = 1
By the Green's Theorem, work done by F is given as
W= [tex]\oint \vec{F}d\vec{r}[/tex]
W= [tex]\iint_{S}\left ( \frac{\partial Q}{\partial x}-\frac{\partial P}{\partial y} \right )dxdy[/tex]
W= [tex]\iint_{S}\left ( 1-\frac{x^2}{y}-y^2 \right )dxdy[/tex]
Let C = x^2+y^2 = 1 and
x = rcosθ, y = rsinθ
0≤r≤1; 0≤θ≤2π
There;
W = [tex]\int_{r=0}^{1}\int_{\theta=0}^{2\pi}\left ( 1-\frac{r^2\cos^2\theta}{4}-r^2\sin^2\theta \right )\left|\frac{\partial(x,y)}{\partial{r,\theta}}\right|d\theta dr[/tex]
and [tex]\frac{\partial (x,y)}{\partial(r, \theta)}=\left|\begin{matrix}\cos\theta &-r\sin\theta \\ \sin\theta & r\cos\theta\end{matrix} \right |[/tex] = r
Thus;
W = [tex]\int_{r=0}^{1}\int_{\theta=0}^{2\pi}\left ( 1-\frac{r^2\cos^2\theta}{4}-r^2\sin^2\theta \right )rd\theta dr[/tex]
After solving
W = 11π/16
Hence, the one along which the work done by the force is 11π/16.
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The right question is:
Among all simple smooth closed curves in the plane, oriented counterclockwise, find the one along which the work done by the force:
[tex]F(x,y)=\left(\frac{x^{2}y}{4} + \frac{y^3}{3}\right)\hat{i}+x\hat{j}[/tex]
is the greatest. (Hint: First, use Green’s theorem to obtain an area integral—you will get partial credit if you only manage to complete this step.)
Find the midrange for the following group of data items.
17, 14, 13, 12, 18, 15 11, 13
(Type an integer or a decimal)
(-2/3, 1/4); y - 2 = -2/3(x+1)
Answer:
10?
__________________
Hope this helps? C:
A grocery store bought milk for $2.30 per half gallon and stored it in two refrigerators. During the night, one refrigerator malfunctioned and ruined 14 half gallons. If the remaining milk is sold for $3.90 per half gallon, how many half gallons did the store buy if they made a profit of $105.40?
The number of half gallons that that store bought with the amount of profit they made would be = 41 half gallons.
What is a refrigerated milk?A refrigerated milk is the milk that is preserved in a refrigerator to prevent spoilage and prolong the shelf life of the milk.
A refrigerator is an electrical electronic device that is used for the preservation and storage of food and food products such as milk.
The amount that half gallon of milk was bought = $2.30 per half gallon.
The amount of half gallons of milk that was ruined= 14
The remaining milk was sold at = $3.90 per half gallon.
The profit made by the store = $105.40
The amount of half gallons that was bought,
= 105.40/3.90
= 27 + 14 ruined half gallon= 41 half gallons.
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i need someone to solve this absolute value inequaility -3{x + 2} _< -9
Answer:
x > 1
Step-by-step explanation:
I am solving this equation, not including the "_" in the equation.
-3(x+2)<-9
Multiply both sides by -1 to reverse the inequality.
3(x+2)>9
Divide by 3
x+2>3
Subtract
x>1
austin wants to pour 71.26 grams of salt into a container so far he has poured 23.1 How much more salt should Austin pour?
Answer:
Your answer is 48.16 grams.
Austin needs to pour 48.16 grams of salt.
Here the total amount of salt is 71.26 grams.
But he pours 23.1 grams.
So when we minus 71.26-23.1, it is equal to 48.16 grams.
Therefore, Austin needs to pour 48.16 grams of salt.
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Use the Pythagorean theorem to find the side of the right triangle. Length 3m, With 2m+14, 5m
The side lengths of the triangle are 11.1, 21.4, and 18.5 units.
What is the Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
The given sides of the right triangle are 3m, 2m+14, and 5m.
As per the Pythagorean theorem, it follows:
(2m + 14)² = (3m)² + (5m)²
4m² + 196 + 56m = 9m² + 25m²
30m² -56m - 196 = 0
15m² - 28m - 98 = 0
[tex]m=\frac{-(-28)\pm\sqrt{(-28)^2-4(15)(-98)}}{2(15)}\\\\m=\frac{28\pm\sqrt{6664}}{2(15)}\\\\m =\frac{28\pm81.6}{2(15)}\\\\m=3.7\text{ or } m=-1.8[/tex]
Since the lengths cannot be negative, the value of m is m = 3.7.
Therefore, the side lengths of the triangle are:
3m = 3(3.7)
= 11.1
2m + 14
= 2(3.7) + 14
= 21.4
and,
5m
=5(3.7)
= 18.5
Hence, the side lengths of the triangle are 11.1, 21.4, and 18.5 units.
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Analysis of variance is the most common inferential statistical procedure used to analyze experiments because O there are several different versions of it, and so it can be used to compare the effect of many different groups and variables there is one version of it and it is better for comparing two group more accurately than the two-sample tests. O it is the only statistical procedure that can test either between-subjects factors or within- subjects factors. O most researchers are more interested in differences between the population and one sample
Option-A is It comes in a variety of forms, making it possible to compare the effects of numerous groups and variables satisfy the statement.
Given that,
The most typical inferential statistical method used to evaluate trials is analysis of variance because
We have to find which of the options are suitable for the given statements.
Option-A is It comes in a variety of forms, making it possible to compare the effects of numerous groups and variables satisfy the statement.
Option-B is It comes in one form, and compared to two-sample tests, it is more accurate for comparing two groups does not satisfy the statement.
Option-C is It is the only statistical method that can test both within- and between-subjects factors does not satisfy the statement.
Option-D is The majority of academics are more focused on differences between one sample and the population as a whole does not satisfy the statement.
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Calculate how much you would have in 20 years if you saved $3,000 a year at an annual rate of 8 percent with the company contributing $750 a year. Use Exhibit 1-B. (Round time value factor to 3 decimal places and answer to the nearest whole dollar.)
Calculate how much you would have in 20 years if you saved $3,000 a year at an annual rate of 8 percent with the company contributing $750 a year. Use Exhibit 1-B. (Round time value factor to 3 decimal places and answer to the nearest whole dollar.)
Answer:69/100 you would save since it decreased in value
: question 13 a teacher has decided to implement a curve to calculate grades for her class. her class average grade is a 65,
The minimum grade require to get grade of B is 78.6.
In the given that;
μ = 65 (average grade)
σ = 20 (standard deviation)
X ≈ N(μ, σ^{2})
Let c be the minimum grade to required to get grade of B
Percentage of data below c = 10% + 15% + 50% =75%
If we convert the percentage to probability = 75%/100% = 0.75
Now to get the value of c we solve the equation
P(X < c) = 0.75
⇒P{(X-μ)/σ < (c-μ)/σ)=0.75
Here z = (X-μ)/σ follows normal (0,1)
z is the standard normal variable
⇒P(z<(c-μ)/σ)=0.75
⇒P(z< (c-65)/20)=0.75
From z table we get, (c-65)/20 = 0.68
⇒(c-65)/20 = 0.68
⇒c= 78.6
So, minimum grade require to get grade of B is 78.6.
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The right question is given below:
What is the perimeter of quadrilateral BCDE? Round to the nearest tenth.
The perimeter of the quadrilateral is √2+√8+√5+√13
What is the perimeter of quadrilateral BCDE?We can use the distance formula to find the length of the segments that make up the quadrilateral.
We must find the length of the segments between the points (0,2),(1,3)(1,3),(3,1)(3,1),(2,−1)(2,−1),(0,2)
Recall the distance formula d=√(x2−x1)2+(y2−y1)2Applying this formula to the four pairs of points gives the following.
d=√(1−0)2+(3−2)2=√1+1=√2d=√(3−1)2+(1−3)2=√4+4=√8d=√(2−3)2+(−1−1)2=√1+4=√5d=√(0−2)2+(2+1)2=√4+9=√13
So the perimeter of the quadrilateral is √2+√8+√5+√13
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1 Look at parallelogram EFGH shown below. 10+ y E 10-9-8-7-6-5-4-3-2 H 9996 NYMNA 7 512 45679 -10k What is its perimeter? F 34 G fin 6 IN 00 of 10
The perimeter of the parallelogram is 24 units
How to determine the perimeter of the parallelogramFrom the question, we have the following parameters that can be used in our computation:
The parallelogram is added as an attachment
When the number of units on each side of the parallelogram is counted, we have the following representation
EH = FG = 7 units
EF = GH = 5 units
The perimeter of the parallelogram is the sum of the side lengths
So, we have the following representation
Perimeter = EH + EF + FG + GH
Substitute the known values in the above equation, so, we have the following representation
Perimeter = 7 + 7 + 5 + 5
Evaluate the sum
Perimeter = 24
Hence, the perimeter is 24 units
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A plane travels 900,000 meters in 700 seconds. What was its speed?
Answer:1285.7 meters per second.
Step-by-step explanation: divide 900,000 meters by 700 seconds
Answer:
A plane travels 360,000 meters in 900 seconds
Step-by-step explanation:
need help and show all work.
Step-by-step explanation:
that is a college question ?
oh my ...
to clarify :
perpendicular means intersecting or touching at a right angle (90°).
bisector means it is a line that cuts the other line in half.
1.
because of the bisector this means DF = FC = DC/2.
so, since FC = 17, so is DF (=y) = 17.
2.
for the same reason
2x - 3 = x + 8
x - 3 = 8
x = 11
the angle must be 90°.
so,
5y = 90
y = 18
3.
for the same reason
10 = 4a
a = 10/4 = 2.5
4.
for the given reasons of 1-3, this figure is a kite. that means the left side is a mirror image of the right side. so, all the lengths on one side are equation to the lengths of the other side.
x - 11 = 19
x = 30
5.
for the same reasons
3y + 5 = 26
3y = 21
y = 7
6.
the perimeter of EDP is then
EP + DP + ED = 19 + 19 + (9 + 9) = 56
because ED = EC + CD
and for the above reasons EC = CD = 9
so, ED = 9 + 9 = 18
7.
the perimeter of EDQ is then
EQ + DQ + ED = 26 + 26 + 18 = 70
8.
for the same reasons as above
x = 90°
9.
remember, the sum of all angles in a triangle is always 180°.
180 = 90 + 55 + y
y = 180 - 90 - 55 = 35°
10.
180 = y + M + z = 35 + (55+71) + z = 161 + z
z = 180 - 161 = 19°
A plumber's helper is ordering drainpipe. Here is the list the
plumber gave him:
Fixture Feet of pipe
Kitchen sink 5
Bath tub 4
Lavatory 3
Laundry tub 5
Second lavatory 2
7:3/4
GREAT
ROOM
2/8 15 LITE
VAULT
What is the total number of feet of drainpipe he should
order?
The total number of feet that the plumber's helper should order for drain pipes is 19 feet.
How to find the number of feet of pipes?The plumber's helper has been given the list of places in the house that will need a drain pipe. The total number of feet of pipes that he should buy should therefore be the total number of pipes that each of these places in the house need.
The number of feet of pipes is therefore:
= Kitchen sink + Bath tub + Lavatory + Laundry tub + Second lavatory
= 5 + 4 + 3 + 5 + 2
= 19 feet
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A right angle has two equal sides. starting with the largest write the size of each angle in this triangle
The size of each angle of triangle, starting with the largest 90°, 45° and 45°.
What is a Triangle?Polygon which has three sides and three vertices is called as triangle.
Sum of all the angles of the triangle is 180°.
Given that a right angled triangle has two equal sides.
And the largest triangle of right angled triangle is 90°.
Right angled triangle which has two equal sides can be called right angled isosceles triangle.
And if one angle of isosceles triangle have angle is 90°. Then the rest of the two angle will be 45°.
Therefore, The rest of these two angles of the right angled triangle are 45⁰.
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(20x³ - 15x² -15x+16) / (5x ²-5x)
Answer:
4x + 1 - 2/x + 6/(20x³ - 15x² -15x+16)
Step-by-step explanation:
4x + 1 - 2/x + 6/(20x³ - 15x² -15x+16)
________________
5x ²-5x | 20x³ - 15x² -15x+16
1 -(20x³ - 20x²) ==> -15x²-(-20x²)= -15x²+20x² = 5x²
5x² - 15x
2 -(5x² - 5x) ==> -15x-(-5x)= -15x+5x = -10x
-10x+16
3 -(10x+10)
6 ==> 16-10 = 6
1: At step 1, (4x) * (5x²-5x) = (20x³ - 20x²)
2: At step 2, 1 * (5x² - 5x) = 5x² - 5x
3: At step 3, (2/x) * (5x² - 5x) = 10x+10
A line's y-intercept is 9, and its slope is 5. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y=____ x +____
The equation of the line that has a slope of 5 and y-intercept of 9 will be y = 5x + 9.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is 5. Then the equation is given as,
y = 5x + c
The y-intercept of the line is 9. Then the equation of the line is given as,
y = 5x + 9
The equation of the line that has a slope of 5 and y-intercept of 9 will be y = 5x + 9.
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Suppose that 17 inches of wire costs 68 cents.
At the same rate, how many inches of wire can be bought for 44 cents?
Answer:
188 cents or $1.88
Step-by-step explanation:
We first want to find how many cents per one inch, and we do this by dividing 17 from 68 (68/17). This gets us 4 cents per inch. Now we need to multiply 4 by 47 (4 x 47). Now we get 188 cents. The equation for this would be y = 4x
please help with this it is a final
For options A– E choose all of the expressions that are equivalent to 3(4x + 3).
A. 12x + 3
B. 3(3 + 4x)
C. 7x + 6
D. 4x + 3 + 4x + 3 + 4x + 3
E. 12x + 9
The equivalent expression for the given expression is 3(4x + 3) will be 12x+3. Option A is correct.
What is distributive property?The distributive property is the property that expresses the distributive law of algebraic multiplication. Similarly, in polynomial expression we can use the distributive property, for example, we can write a(c+b) in the form of (ac+bc).
It is given that the expression is,3(4x + 3)
We have to find the equivalent expression for the given expression,
Expressions that function identically but have a different appearance are called equivalent expressions. When we enter the same value for the variable, two algebraic expressions that are equivalent will have the same result.
=3(4x + 3)
=12x+3
Thus, the equivalent expression for the given expression is 3(4x + 3) will be 12x+3. Option A is correct.
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I dont understand this problems
The value of x = 7 (blue)
The value of x = 6 (yellow)
The value of x = 4 (marron)
The value of x = 20 (black)
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
1,
The two angles are equal.
The sides opposite to the angles are also equal.
x = 7 (blue)
2.
The given triangle is an equilateral triangle.
All angles are equal.
The sides opposite to the angles are also equal.
x = 6 (yellow)
3.
Alternate angles are equal.
The sides opposite to the alternate angles are also equal.
x = 4 (marron)
4.
The given triangle is an isosceles triangle.
Two sides are equal.
One angle is 40.
The sum of the angles is 180.
x + x + 40 = 180
2x + 40 = 180
2x = 140
x = 20 (black)
Thus,
x = 7 (blue)
x = 6 (yellow)
x = 4 (marron)
x = 20 (black)
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Question
Find the value(s) of a where the tangent line to the graph of the function f(x) = -11x + is parallel to the line
y = -19x - 18.
The value(s) of a where the tangent line to the graph of the function f(x) = -11x + is parallel to the line y = -19x - 18 is x=1,-1.
What is Slope of function?
Finding the rate at which the value of y (the dependent variable) changes in relation to x is what this method entails (independent variable). The slope itself identifies the line's slope and direction. Write the equation of the line in slope-intercept form to determine the slope from the equation. Utilize inverse procedures to find y, then write it as y=mx+b. Since the slope is the x variable's coefficient, or the number before x, you can thus readily observe the slope.
[tex]f(x)=-11 x+\frac{8}{x}$$[/tex]
Slope of function [tex]$\rightarrow f^{\prime}(x)=\frac{-21-8}{x^2}$[/tex]
Given line: y=-19 x-18
Slope [tex]$\rightarrow y^{\prime} \rightarrow-19$[/tex]
Since function and line both are parallel, hence slope of both will be equal.
[tex]$$\begin{aligned}-19 & =-11-\frac{8}{x^2} \\-8 & =\frac{-8}{x^2} \\x & =1,-1\end{aligned}$$[/tex]
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I need understanding this
Answer:
x > 65/7
Step-by-step explanation:
First, we make the equation positive.
-7/5x < -13
We have to switch the sign when multiplying or dividing a negative number.
7/5x > 13
Now, we multiply by 5 and divide by 7.
7x > 65
x> 65/7
is -0.25 a rational number
Answer:
Yes
Step-by-step explanation: