Answer: Divisor
Step-by-step explanation:
The the answer to a division problem is called the quotient. The number that is doing the dividing is called the divisor. The number that gets divided up is called the dividend.
Example: If 3 boys ask to mow your yard for $24, then each boy would get $8.
24 divided by 3 is 8. (24 / 3 = 8 )
24 is the dividend (the number getting divided up)
3 is the divisor (the number that is doing the dividing)
8 is the quotient.
PLEASE HELP ME ANSWER THESE QUESTIONS !
1. How does radian measure of an angle compare to the degree measure? Include an explanation of 1 radian in your answer.
2. Explain how the cosine of an angle in the second quadrant differs from the cosine of its reference angle in the unit circle.
3. Describe the secant and cosecant functions.
4. When a right triangle with a hypotenuse of 1 is placed in the unit circle, which sides of the triangle correspond to the x- and y-coordinates?
Through the knowledge and trigonometry, we have :
1 radian = 180 degrees[tex]t^{'} = 180-t[/tex][tex]Secant \alpha = \frac{hypotenuse}{base}\\ Cosecant \alpha = \frac{hypotenuse}{perpendicular}[/tex]The x-coordinate is the central angle's adjacent side, while the y-coordinate is its opposite side.1. Since a circle's circumference is 360 degrees or two pi radians, a radian is equivalent to 180 degrees. Since radians require knowledge of higher mathematics and contain tangents, sines, and cosines, which are taught in college, they are not as frequently employed in measuring circles and angles as degrees.
2. The measurement of the lowest, positive, acute angle t created by the angle's terminal side is known as the reference angle, t the horizontal axis, too. As a result, positive reference angles can be used as models for angles in other quadrants because their terminal sides are in the first quadrant.
In the 1st Quadrant, All the trigonometric functions are positive,
[tex]t^{'} =t[/tex]
In the 2nd Quadrant. Only Sin is positive,
[tex]t^{'} = 180-t[/tex]
So, [tex]cost^{'} = Cos(180-t) = -Sint[/tex]
3. Secant is the Inverse of Cos and Cosecant is the Inverse of Sine, Hence they are :
[tex]Secant \alpha = \frac{hypotenuse}{base}\\ Cosecant \alpha = \frac{hypotenuse}{perpendicular}[/tex]
4. The x-coordinate is the central angle's adjacent side, while the y-coordinate is its opposite side.
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Problem 2: The area of a
rectangular desk is given
by the trinomial x²-7x-18.
What are the dimensions
of the desk? (10 points)
Answer: (x-9) and (x+2)
Step-by-step explanation:
You would first have to break the trinomial down into 2 factors.
Since there are two minuses in the trinomial, start off like this : (x- __) (x+__)
Now, what two numbers add to -7, and multiply to -18?
9 and 2, with one term being negative.
Since the 2nd term in the trinomial is a negative, there must be a number added that has a greater negative term than the other positive term, therefore, making 9 the negative term, since 2-9 is -7.
And -9 times 2 is -18.
Now fill in the blanks : (x-9)(x+2)
Since (x-9) and (x+2) are multiplied by each other, they are the dimensions of the desk, being L x W.
Now let's double check the factors:
(x-9)(x+2)
Distribute the terms.
x^2 +2x -9x -18
x^2-7x-18
There, hoped that helped :D
0.103125 to the nearest integer
⇒When we round to the nearest integer we are to round to the nearest whole
⇒We look at the first term after the comma which is in the tenths place.
⇒In this case it is 1 does it allow me to round up or down?
It allows me to round down meaning the integer will be 0
(-5, 3) slope -4 into slope intercept form
The equation using slope intercept form would be...
[tex]y=-4x-17[/tex]
Hope this helps!
Omg guys can y’all please help i’m begging
The equation of the function g(x) is -√(x-7).
We are given a function f(x).The function f(x) equals √x.Our objective is to do some transformations on the graph of the function f(x) and reach the equation of the function g(x).We first need to reflect the function on the x-axis.We just take negative of the function f(x) to reflect it about the x-axis.f(x) = -√xWe now need to translate the function to the right by 7 units.We subtract 7 from the argument of the function to translate it to the right by 7 units.f(x-7) = -√(x-7)This is our required function.Thus, the equation of the function g(x) is -√(x-7).To learn more about functions, visit :
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convert 430 cm² to m²
Answer:
4.3
Step-by-step explanation:
7x-3y=11 find ordered pairs
Answer:
[tex](0,-\frac{11}{3} ),(1,-\frac{4}{3} ),(2,1)[/tex]
Step-by-step explanation:
Given Equation:
[tex]7x-3y=11[/tex]Required:
Solve the equation for [tex]y[/tex].Find ordered pairs.Steps:
Subtract 7x from both sides of the equation.
-3y = 11 - 7x
Divide each term in -3y = 11 - 7x by -3 and simplify.
-3y/-3 = 11/-3 + -7x/-3
Simplify the left side.
Cancel the common factor of -3.
-3y/-3 (canceled) = 11/-3 + -7x/-3
Divide y by 1.
y = 11/-3 + -7x/-3
Simplify the right side.
Simplify each term.
Move the negative in front of the fraction.
y = -11/3 + -7x/-3
Dividing two negative values results in a positive value.
y = -11/3 + 7x/3
Choose any value for x that is in the domain to plug in to the equation.
Choose 0 to substitute in for x to find the ordered pair.
Remove parentheses.
y = -11/3 + 7(0)/3
Simplify -11/3 + 7(0)/3.
⇒ Combine the numerators over the common denominator.
y = -11/3 + 7(0) / 3
Simplify the expression.
Multiply 7 by 0.y = -11 + 0/3
Add -11 and 0.y = -11/3
Move the negative in front of the fraction.y = -11/3
Use the x and y values to form the ordered pair.
(0, -11/3)
Choose 1 to substitute in for x to find the ordered pair.
Remove parentheses.
y = -11/3 + 7(1)/3
Simplify -11/3 + 7(1)/3.
Combine the numerators over the common denominator.
y = -11/3 + 7(1)/3
Simplify the expression.
Multiply 7 by 1.
y = -11 + 7/3
Add -11 and 7.
y = -4/3
Move the negative in front of the fraction.
y = -4/3
Use the x and y values to form the ordered pair.
(1, -4/3)
Choose 2 to substitute in for the x in the ordered pair.
Remove parentheses.
y = -11/3 + 7(2)/3
Simplify -11/3 + 7(2)/3.
Combine the numerators over the common denominator.
y = -11/3 + 7(2)/3
Simplify the expression.
Multiply 7 by 2.
y = -11 + 14/3
Add -11 and 14.
y = 3/3
Divide 3 by 3,
y = 1
Use the x and y values to form the ordered pair.
(2, 1)
These are three possible solutions to the equation.
(0, -11/3), (1, -4/3), and (2,1)
Thanks,
Eddie
can you help me find the derivatives of these questions please
(Number 5)
[tex]\frac{dy}{dx}=\text{ }x(2^x)\ln 2\text{ }+2^x[/tex]Explanations:The given equation is:
[tex]y=x(2^x)[/tex]This function represents the product of x and 2^x, therefore, to find the derivative, we will use the product rule.
When y = UV, dy/dx is given as:
[tex]\frac{dy}{dx}\text{ = U}\frac{dV}{dx}+V\frac{dU}{dx}[/tex]In the equation y = x (2^x):
[tex]\begin{gathered} U\text{ = x} \\ \frac{dU}{dx}=\text{ 1} \\ V=2^x \\ \frac{dV}{dx}=2^x\ln 2 \end{gathered}[/tex]Substituting the U, V, dU/dx, and dV/dx into the given formula for dy/dx:
[tex]\begin{gathered} \frac{dy}{dx}=x(2^x)\ln 2+2^x(1) \\ \frac{dy}{dx}=\text{ }x(2^x)\ln 2\text{ }+2^x \end{gathered}[/tex]When a number is divided by 5, the result is 50 less than if the number had been divided by $6$. What is the number?
IT SAYS 50 LESS NOT GREATER
The number will be 1500
Given in the question:
A number is divided by 5, the result is 50 less than
and, if the number had been divided by $6$.
To find the number.
Now, According to the question:
Let the number be x
x is divided by 5 = x/5
also, The number is divided by 6 = x/6
Here, The expression will be:
x/5 - 50 = x/6
30(x/5 - 50) = 30(x/6)
6x - 1500 = 5x
1500 = x
Hence, The number will be 1500 .
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9 divided by 927. ……………………
depending on the question but it's most likely 103
Step-by-step explanation:
Sam reads 30 pages of a book in 40 minutes. Which statement identifies a person with the same reading rate as Sam.
Answer:
The correct option is B
Leroy reads 22.5 pages in 30 minutes
At the rate of 3 pages in 4 minutes
Explanation:
Given that Sam reads 30 pages of books in 40 minutes, he reads at the rate of 3 pages in 4 minutes (3/4 = 0.75).
To know which of the options has the same rate as Sam's, we need to find which rate is equal to his'
A. Francine reads 40 pages in 55 minutes
Rate = 40/55 = 8/11
B. Leroy reads 22.5 pages in 30 minutes
Rate = 22.5/30 = 0.75
C. Paul reads 150 pages in 3.25 hours. Since 3.25 hours = 195 minutes
Rate = 150/195 = 0.77
D. Bill reads 60 pages in 2 hours
Rate = 60/120 = 0.5
5) 13% of score
On a blueprint of a house, the living room has dimensions of 3 inches by 5 inches. If the scale for the
blueprint is 1 inch for every 7 feet, then what is the area of the actual living room?
A. 15 ft²
C. 735 ft²
B.
D.
105 ft2
56 ft²
Based on the dimensions of the blueprint of the house, the area of the actual living room can be found to be 735 ft²
How to find the area?The first thing to do is to convert the dimensions on the blueprint to their actual figures.
If 1 inch on the blueprint is 7 feet, then the actual dimensions are:
= 3 inches x 7
= 21 feet
Dimension B:
= 5 inches x 7
= 35 feet
The area can then be found by:
= Dimension A x Dimension B
= 21 x 35
= 735 ft²
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A jar contains only pennies, nickels, dimes, and quarters. There are 24 pennies, 13 dimes, and 28 quarters. The rest of the coins are nickels. There are 91 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?
__ of the coins are not nickels.
Answer:"There are 24 pennies, 21 dimes, and 29 quarters", so there are 25+21+29 = 75 coins so far. This is the amount of coins that aren't nickels. The rest are nickels, which is some amount n. This adds to the 75 to get 75+n. Set this equal to 92 because there are 92 coins in all. That's how we end up with 75+n = 92.
-----
Extra info
The equation 75+n = 92 is the same as n+75 = 92. Subtract 75 from both sides to isolate n. You should get n = 17 after doing so.
Step-by-step explanation:
Mrs. Casen plans to have 3 3/4 rolls of carpet installed in her new house. The cost of the carpet including installation is $450 per 1/2 carpet roll. How much will Mrs. Cassen be charged for the carpet and installation?
1. 1368
2. 2736
3. 3420
4. 3420
Answer:
$3375
Step-by-step explanation:
3 3/4 ÷ 1/2
=15/4 × 2/1
=7 1/2
7 1/2 multiply by carpet cost
7 1/2 × 450
= $3375
(your 3rd and 4th option in the multiple choice are the same btw)
1. **Gabriella and Lisbet are selling bracelets and earrings to make money for their summer vacation. The bracelets will cost $2 and earrings will cost $3. They want to make at least $500 and would like to make less than 50 bracelets to make a profit. Graph the solution set to the system of linear inequalities in the coordinate plane below. Label your axes and create a scale. a. Is it possible for Gabriella and Lisbet to make a profit? Justify your answer using your graph above.
Answer:
It is possible for Gabriella and Lisbet to make a profit
Explanation:
Let's call x the number of bracelets that they will make and y the number of earrings that they will make.
If the bracelets will cost $2 and the earring will cost $3, they will make:
2x + 3y
Then, this quantity should be at least $500, so:
2x + 3y ≥ 500
Additionally, they would like to make less than 50 bracelets, so:
x < 50
So, the system of inequalities is:
2x + 3y ≥ 500
x < 50
Now, to graph the system, we need to identify the lines that separate the regions. So, for x < 50, we get that the line is x = 50, a vertical line that passes through the point (0, 50).
For 2x + 3y ≥ 500, we need to identify two points that belong to the line
2x + 3y = 500 as (250, 0) and (100, 100)
So, the graph of the inequalities is:
Therefore, the solution of the system is the yellow region. Since there is a region in the graph, Gabriella and Lisbet can make a profit.
I need help can someone help me?
The sum [tex]S_4[/tex] = 80
How is the summation calculated?
[tex]S_4= \sum_{k=1}^{4} 2(3^{n-1}) \\\\= 2 \sum_{k=1}^{4} (3^{n-1})\\\\=2[3^{1-1}+3^{2-1}+3^{3-1}+3^{4-1}]\\\\=2[3^{0}+3^{1}+3^{2}+3^{3}]\\\\=2[1+3+9+27]\\\\=2 [40]\\\\=80[/tex]
What is summation?
When a group of numbers, known as addends or summands, are added together in mathematics, the outcome is their sum or total. Series are summations of infinite sequences. A succession of adds is the summation of an explicit sequence. A regular pattern defines a sequence's elements according to their positions within the sequence.If the summation has no summands, then the evaluated sum is zeroBecause zero is the identity for addition and this is known as the empty sum.To learn more about summation, refer:
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Determine whether the triangles are simllar. If they are, select thecorrect similarity statement and the theorem used.
Step 1
From the image;
[tex]Triangle\text{ ABE\textasciitilde Triangle ACD}[/tex][tex]\begin{gathered} Find\text{ the value of x to know if the sides are proportional} \\ \frac{12}{8}=\frac{6+x}{x} \\ 12x=48+8x \\ 4x=48 \\ x=\frac{48}{4}=12 \end{gathered}[/tex]Hence;
[tex]\begin{gathered} \frac{12+6}{12}=\frac{8+4}{8} \\ \frac{18}{12}=\frac{12}{8} \\ \frac{3}{2}=\frac{3}{2} \end{gathered}[/tex]The triangles also share similar angles therefore the answer will be;
[tex]undefined[/tex]
A train travels from City A to City B. The table below shows the distance and
the amount of time it takes on the train.
Distance (km)
6
9
14
Time (in minutes)
2 3 7
O The train does not always go the same distance each minute.
O The train appears to go the same distance each minute.
Predicted distance traveled in 9 minutes: km
Yes, The train does not always go the same distance each minute.
Given,
A train travels from City A to City B.
The distance and the amount of time it takes on the train is
Distance (km) Time (in minutes)
6 2
9 3
14 7
Now According to the question:
Does the train go the same distance each minute?
In order to determine if the train travels the same distance each minute, the average speed of the train has to be determined. Average speed is the total distance travelled per time.
Average speed = total distance / total time
Average speed when distance is = 6/ 2 = 3 km/hrAverage speed when distance is = 9/3 = 3 km/hrAverage speed when distance is = 14/7 = 2 km/hrHence Yes, The train does not always go the same distance each minute.
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5. Find the value of x for which ABCD must be a parallelogram.AB-9 - 6xX-30DC
Given:
We're a given figure ABCD
∠ADB = x - 30
∠DBC = -9 - 6x
To find:
The value of x for which ABCD must be a parallelogram.
Step-by-step solution:
For ABCD to be a parallelogram, Its Alternate angles (Z - angles) must be equal.
Thus,
∠ADB = ∠DBC
x - 30 = -9 - 6x
7x = 21
x = 3
Final answer:
For ABCD to be a parallelogram, The value of x should be equal to 3.
Complete both transformations below.
Then enter the final coordinates of the figure.
(1,-3)
A
C (2,-5)
B
(5,-1)
A" ([?], [])
B" ([ ], [])
C" ([],[])
1) Reflect across y - axis
2) <4.5>
Answer:
A''(3, 2), B''(-1, 4), C''(2, 0)
Step-by-step explanation:
For the first step, negate the y coordinate.
For the second step, add 4 to the x coordinate and 5 to the y coordinate.
[tex]A(1,-3) \longrightarrow A'(-1, -3) \longrightarrow A''(3, 2) \\ \\ B(5,-1) \longrightarrow B'(-5,-1) \longrightarrow B''(-1, 4) \\ \\ C(2, -5) \longrightarrow C'(-2, -5) \longrightarrow C''(2, 0)[/tex]
Which ordered pair is the y-intercept of y=x² + 6.0 – 4?(1,6)O (60)0 (0, -4)O (6,4)
The equation given is,
[tex]y=x^2+6x-4[/tex]The y-intercept is determined when x coordinate is zero.
Substitute x equals to 0 in the equation,
[tex]y=0^2+6(0)-4[/tex][tex]y=-4[/tex]Thus, the ordered pair of y-intercpet is,
[tex](0,-4)[/tex]The correct option is c.
A s’mores maker kit has a list price of $39.95 and is offered to wholesalers with a series discount of 20/10/10. The same appliance is offered to Kitchen Crafters (a retailer) with a series discount of 20/10. Find the difference in price.
Since the list price is $39.95
Since the series of discounts 20/10/10
Then we will find the new price by this way
Since the first discount is 20%, then
The new price will be 80% of 39.95
[tex]\frac{80}{100}\times39.95=31.96[/tex]Since the second discount is 10%
Then the new price is 90% of 31.96
[tex]\frac{90}{100}\times31.96=28.764[/tex]Since the third discount is 10%
Then the new price is 90% of 28.764
[tex]\frac{90}{100}\times28.764=25.8876[/tex]Since the second option has only a 20/10 discount, then
The new price is 28.764
To find the difference subtract 25.8876 from 28.764
The difference = 28.764 - 25.8876
The difference = 2.8764
The answer is $2.8764
PLEASE HELP ITS DUE SOON! I DONT GET ANY OF THIS! HELP WOULD BE MUCH APPRECIATED! NEED THIS DONE BEEN STUCK ON THIS FOR WAY TO LONG!
YOU WILL GET 100 POINTS IF YOU HELP! QUESTION DOWN BELOW!!!!!
So, we know BC is parallel to EF and 1 is congruent to 3.
Angles between parallel lines have special relationships. The relationships between 2 and 3 is that they are Same-side Interior Angles. This means that angles on the same line, formed by parallel lines intersecting that line (and the angles are on the same side of their respective line) are congruent. So, 2 and 3 are congruent... But by the transitive property, if 1 = 3 and 3 = 2... 1 = 2! And if 1 = 2, they are also Same-side interior angles and thus, the lines they lie on are parallel! So, since 1 and 2 are congruent, AB is parallel to DE.
Answer:
See below.
Step-by-step explanation:
Corresponding Angles Postulate
When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.
[tex]\begin{array}{c|c}\sf Statement & \sf Reason\\\cline{1-2} BC \parallel EF & \phantom{\dfrac11}\sf Given\\\\\angle 2=\angle 3 & \textsf{Corresponding Angles Postulate}\\\\\angle 1=\angle 3 & \sf Given\\\\\angle 1=\angle 2 & \textsf{Transitive property of equality}\\&(\angle 2=\angle 3 \; \textsf{and} \; \angle 1=\angle 3)\\\\AB \parallel DE & \textsf{Corresponding Angles Postulate}\\& \textsf{as} \;\angle 1=\angle 2\end{array}[/tex]
As DE intersects the two parallel lines BC and EF, ∠2 is congruent to ∠3 (corresponding angles postulate).
As ∠1 = ∠3 and ∠2 = ∠3, then ∠1 = ∠2 (transitive property of equality).
Therefore, as ∠1 and ∠2 are congruent, AB and DE must be parallel (BC is the transversal).
Use the Pareto chart to tell the percent of students that enrolled in a private 4 year college.
20%
1) Analyzing that Pareto Chart, we can tell that the percentage of students enrolled in a private-4 year college is indicated by the height of the bar and the corresponding value for its vertical axis
2) Therefore, the answer is 20%
Bags A and B each contain counters.
Bag A
60 counters
Each counter is green, blue or yellow
P(green counter from A) = P(red counter from B)
Work out the number of green counters in A.
Bag B
12 counters
9 blue and 3 red
In probability, A is 8 out of 16 and C is 3 out of 15.
What is probability explain?
The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.Out of the 17 counters in the bag 3 are yellow , 6 are red and the rest i.e., 17–3–6 or 8 nos.are green.
When selected randomly once one counter the probability of selecting one is
A. green is 8 out of 17 or 8/17 ,
B. getting a red one is 6 out of 17 or 6/17.
C. getting a yellow is 3 out of 17.
This is when the counter is put back in the bag for selecting.
If the selected one is not put back remaing counters are less by one each time it's drawn and then the probability figure is one out of 16 in the second case and one out of 15 for the third draw ime., then A is 8 out of 16 and C is 3 out of 15.
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Jose made $143 for 11 hours of work.
At the same rate, how many hours would he have to work to make $117?
Answer:
9 hours
Step-by-step explanation:
Simplify m8m−6. yehhhhhh
The value of [tex]m^{8} m^{-6}[/tex] after simplification is [tex]m^{2}[/tex].
According to the question,
We have the following expression:
[tex]m^{8} m^{-6}[/tex]
Now, please note that there are some rules for simplifying expressions with powers. For example, powers are added if the base of the terms in the multiplication are the same. And if the base of the terms are same but they are in division then the powers are subtracted.
In this case, the base is same (m) and the terms are in multiplication.
So, we are supposed to add their powers.
Now, we have the following expression:
[tex]m^{(8-6)}[/tex]
[tex]m^{2}[/tex]
Hence, the value after solving the given expression is [tex]m^{2}[/tex].
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Find the area of the following figure. Show your work.area of odd shapes.
To find the area of the complex figure, divide it into simpler figures and the areas of these. Then find the sum of these areas.
Now, find the area of each of the simpler figures, in these case, the rectangles:
[tex]\begin{gathered} A=b\cdot h \\ A_A=7\cdot3=21 \\ A_B=6\cdot2=12 \\ A_C=7\cdot2=14 \\ A_D=5\cdot3=15 \\ A_E=3\cdot1=3 \end{gathered}[/tex]Finally, find the sum of all these areas to find the area of the figure:
[tex]A_F=21+12+14+15+3=65[/tex]The area of the figure is 65.
Which is the better buy: 18 oz. of rice for $6.30, 12 oz. of rice for $4.56, or 7 oz. of rice for $2.59?
Answer:
18oz for 6.30 is the cheapest
Step-by-step explanation:
0.35$ per oz
0.38$ per oz
0.37$ per oz
:]
A circle of radius r has area A, where A =xr^2
The area A of the circle whose radius is 10 can be calculated by given equation A =pi r^2 is 314.2 cm^2.
What is area?
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.
If we draw a square using a pencil on a sheet of paper. It will have two dimensions. The area of a shape on paper is the area that it occupies and it will be called as area of that square.
For getting the area of the circle we need to put the value of r in the given equation:
r = 10 cm
Putting the value of pi and r in the equation:
A = pi r^2
A = 3.142 (10)^2
A = 3.142 (100)
A = 314.2
Therefor the area of the circle calculated by given equation is 314.2 cm.
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Complete question
A circle of radius r has area A, where A =pir^2, calculate the area of circle whose radius is 10 cm.