Answer:
11.34
Step-by-step explanation:
14% of 81 =
14% × 81 =
14/100 × 81 =
(14 ÷ 100) × 81 =
14 × 81 ÷ 100 =
1,134 ÷ 100 =
11.34
4p−5(p+6) Help plssss
Answer: -p - 30
Step-by-step explanation:
We will simplify the expression.
Given:
4p - 5(p + 6)
Distirubte the negative 5:
4p - 5p - 30
Combine like terms:
-p - 30
x^2+25 find a polynomial corresponding factored form
By using algebraic handling, the factored form of the polynomial is (x + i 5) · (x - i 5).
How to factor a quadratic equations
In this question we have the case of a quadratic equation of the form y = x² + b², the factored form of this polynomial consists in a equivalent form consisting in a product of simpler terms. There is a similar expression whose formula is:
x² - a² = (x + a) · (x - a)
Now we proceed to modify the expression into a factored form:
x² + 25 Givenx² - (- 25) - (- a) = ax² - [(- 1) · 25] (- a) · b = - a · bx² - i² · 25 Definition of complex number(x + i 5) · (x - i 5) Difference of squares / ResultsThe factored form of the polynomial x² + 25 is (x + i 5) · (x - i 5).
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Convert 0.17 to a fraction in simplest form and a percent.
Answer: 17/100, which would be 17%
Step-by-step explanation:
Simplify.
3/2(x+3/4)−(x+1)
Answer:
x/2 + 1/8
Step-by-step explanation:
3/2(x+3/4) - (x+1)
3/2x + 9/8 - x -1
x/2 + 1/8
Number 21… please explain I don’t know how to do this
Answer:
The lengths of the sides are 18 ft, 18 ft, and 24 ft.
Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1.25 per ride.
The function f(x) = -1.25x + 64 can be used to determine how much money he has left over after x rides? What does f(17) represent?
Group of answer choices
Your friend paid for 17 rides and spent $42.75.
Your friend paid for 17 rides and had $37.25 left over.
Your friend paid for 17 rides and had $42.75 left over.
Your friend paid for 17 rides and spent $37.25.
The function f(17) represent your friend paid for 17 rides and had $42.75 left over.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
Let f(x) represent the amount that the rider has left over after x rides.
f(x) = -1.25x + 64
f(17) = -1.25(17) + 64 = 42.75
f(17) = $42.75
f(17) represent the money left
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What are the y-intercept and the slope of the graph of the following equation? 3x+4y=12
[tex]3x+4y=12\implies 4y=-3x+12\implies y=\cfrac{-3x+12}{4} \\\\\\ y = \cfrac{-3x}{4}+\cfrac{12}{4}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{4}}x+\stackrel{\stackrel{b}{\downarrow }}{3}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
a library subscribes to two different weekly news magazines, each of which is supposed to arrive in wednesday's mail. in actuality, each one may arrive on wednesday, thursday, friday, or saturday. suppose the two arrive independently of one another, and for each one p(wed.)
The two come separately, and the p(wed.) value for each one is 0.0841. It is founded on likelihood on probability.
What does probability mean in math?Probability is a way to gauge how likely something is to happen. Many things are hard to predict with complete certainty. We can only forecast how likely an event is to occur using it, or how likely it is to occur.
The probability is typically defined as the proportion of positive outcomes to all outcomes in the sample space. Probability of an event P(E) = (Number of favourable outcomes) is how it is stated (Sample space).
based on the facts provided;
p(0) = p(w,w)
= 0.29² = 0.0841
p(1) = p(t, w+t) + p(w, t)
= 2p(w,t) +p(t,t) = 2·.29·.37 + .37² = 0.3515
p(2) = p(f, w+t+f) +p(w+t, f)
= 0.16(2(.29+.37)+.16) = 0.2368
p(3) = p(s, w+t+f+s) +p(w+t+f, s)
= 0.18(2(.29+.37+.16) +.18) = 0.3276
In summary, your pmf is ...
y : p(y)
0 : 0.0841
1 : 0.3515
2 : 0.2368
3 : 0.3276
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ANOW is rotated 90° about the origin.
Draw the image of this rotation.
The rotation of the triangle is shown with the new coordinates N' = (3, -7), O' = (-4,-5) and W' = (-1, -1).
What are coordinates?A pair of numbers that use the horizontal and vertical separations from the two reference axes to describe a point's location on a coordinate plane. Typically represented by the x-value and y-value pair (x,y).So, a point (x, y) becomes (-y, x) if it is rotated 90° anticlockwise with respect to the origin.
Since, N = (-7, -3) ⇒ N' = (3, -7)O = (-5, 4) ⇒ O' = (-4,-5)W = (-2, 1) ⇒ W' = (-1, -1)(Refer to the image attached below)
Therefore, the rotation of the triangle is shown with the new coordinates N' = (3, -7), O' = (-4,-5) and W' = (-1, -1).
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3) Mr. G. was once offered a job as a car salesperson. Below is a partial compensation table they used to calculate monthly pay. (10 points)
Number cars sold 5 6 7 8 9 10
Salary 2750 3200 3650 4100 4550 5000
a. Is this linear? How do you know?
b. Suppose Mr. G thought he could sell 23 cars during one month. What would his total monthly pay be? Show your work!
c. If the gross pay is $6,800, how many cars were sold? Show your work!
The relation on the table of values is a linear model,
The total monthly pay is $10850 when he sells 23 cars in one monthThe number of cars is 14 if the gross pay is $6,800How to determine if the relation is linear?The table of values is given as
Number cars sold 5 6 7 8 9 10
Salary 2750 3200 3650 4100 4550 5000
On the table of values, we can see that:
As the number of cars increase by 1, the salary increases by 450
This means that the table has a constant rate of 450
Relations that have a constant rate are linear relations
Hence, the table of values is a linear relation
The total monthly payIn (a), we have
Slope, m = 450
A linear equation is represented as
y = m(x - x1) + y1
So, we have
y = 450(x - 5) + 2750
Evaluate
y = 450x + 500
When the number of cars is 23, we have
y = 450 x 23 + 500
Evaluate
y = 10850
Hence, the total monthly pay is $10850
The number of carsHere, we have
y = 6800
This gives
450x + 500 = 6800
This gives
450x = 6300
Evaluate
x = 14
Hence, the number of cars is 14
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What number makes the fractions equivalent?
different numerators and denominators but are equal to the same value.
-
if you need a specific number answer from a problem, you'd need to attach a picture
I need help pls its really hard for me rn and teach me how to do it
The sequence that contains all the given terms is:
aₙ = -18 + 6*n
Then the correct option is C.
Which sequence can be used to find the n-th term?
Here we have the elements:
a₃ = 0
a₄ = 6
a₅ = 12
a₆ = 18
a₇ = 24
So each term adds 6 to the previous one, so trivially the relation is of the form:
aₙ = aₙ₋₁ + 6
Now we need to find the first term.
We can rewrite the above equation as:
aₙ₋₁ = aₙ - 6
Then we willget:
a₂ = a₃ - 6 = 0 - 6 = -6
a₁ = a₂ - 6 = -6 - 6 = -12
a₀ = a₁ - 6 = -18
Then the sequence is:
aₙ = -18 + 6*n
Then the correct option is C.
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Help me please I am in need
At 1 hour, 3 hours and 6.5 hours she travels 36 miles, 108 miles and 234 miles respectively using the concept of average speed of an object.
As per the question statement, Clare covers a distance of 0 miles, 72 miles, 144 miles and 216 miles in 0 hours, 2 hours, 4 hours and 6 hours respectively.
We are supposed to find out the distance travelled by her in 1 hour, 3 hours and 6.5 hours.
We will use the concept of average speed of an object which is as follows
average speed = total distance divided by the total time taken
average speed = 216/6 = 36 miles per hour
Hence at 1 hour, distance = 1 * 36 = 36 miles
at 3 hours, distance = 3 * 36 =108 miles
at 6.5 hours, distance = 6.5 * 36 = 234 miles
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Draw the image of \triangle ABC△ABCtriangle, A, B, C under a dilation whose center is CCC and scale factor is 222.
The image of triangle ABC△ABC triangle, A, B, C under a dilation whose center is CCC and scale factor is 222. The dimensions of the new triangle are 8.2, 12.8, and 10.2 units. The graph of the Δ is given below.
What is a transformation of a point?A spatial transformation is each mapping of the feature space to itself and it maintains some spatial correlation between figures.
The △ABC is given below.
The dimensions of triangle are approximately 4.1, 6.4, and 5.1.
And scale factor of the dilation is 2.
If △ABC is dilated by the scale factor of 2 as a center of C.
Then dimensions of the new △A'B'C will be
A'C = AC × 2
A'C = 4.1× 2
A'C = 8.2 units
B'C = BC × 2
B'C = 6.4 × 2
B'C = 12.8 units
B'A' = BA × 2
B'A' = 5.1 × 2
B'A' = 10.2 units
Then the dimensions of new triangle are 8.2, 12.8, and 10.2 units.
The graph of triangle is given below:
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After a 65% reduction, you purchase a new washing machine on sale for $224. What was the original price of the washing machine?
The original price was ___$
Answer:
$369.60
Step-by-step explanation:
65% = 0.65
1.00 + 0.65 = 1.65
$224 * 1.65 = $369.60
the original price was $369.60
Answer:
The original price was 640
Step-by-step explanation:
Let the price be x
100%-65%=35%
35%/100%*x=224
35x=22400
x=640
Probability of an event
A class is made up of 10 boys and 10 girls. Half of the boys wear glasses. A student is selected at random from the class. What is the probability that the
student is a boy with glasses?
Write your answer as a fraction in simplest form.
Answer: ¼ or 25% or 0.25
Step-by-step explanation:
5 boys = 25% of the class
5/20
¼ or 25% or 0.25
Grace has a coupon for $2 off the regular price of each pair of jeans she buys. She buys 4 pairs of jeans with a regular price of $23 each. What is the total cost for her jeans?
The total cost for her jeans will be $84.
How to calculate the cost?From the information, Grace has a coupon for $2 off the regular price of each pair of jeans she buys and she buys 4 pairs of jeans with a regular price of $23 each.
The total cost for her jeans will be:
= (4 × $23) - (4 × $2)
= $92 - $8
= $84
Therefore, it should be noted that the total cost is $84.
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two gears, A and B. are arranged so that the teeth of one gear is mesh with the teeth of another. Gear A turns clockwise and has 54 teeth. Gear B turns counterclockwise and has 36 teeth. If gear A makes 5.5 rotations, how many turns will gear B make?
The number of turns gear B will make is 8.25 turns
How to find the number of turns gear B will makeGiven data
Gear A turns clockwise and has 54 teeth
Gear B turns counterclockwise and has 36 teeth
gear A makes 5.5 rotations
One of the gears is driving the other hence the distance covered by each of the gears is constant.
The distance is the product of the number of rotations and the number of teeth and this should be a constant
Therefore, let the number of rotations of gear B be x
54 teeth * 5.5 rotations = 36 teeth * x rotations
x rotations = ( 54 teeth * 5.5 rotations ) / 36 teeth
x rotations = 54/36 * 5.5
x rotations = 1.5 * 5.5
x rotations = 8.25
We can therefore say that gear B will make 8.25 rotations
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What is 3.68086257145 divided by 6.533 * 4,085,0811
When 3.68086257145 divided by 6.533 * 4,085,0811 we get 1.379228624370833401829E-8
The methods of division are of three types according to the difficulty level. These are the chunking method or division by repeated subtraction, short division method or bus stop method and long division method.
The division of two numbers can be calculated using the following formula:
Dividend / Divisor = Quotient + Remainder.
The number that is being divided in this case is known as the dividend. The number that divides the number (dividend) into equal parts is known as the divisor.
The quotient is the result of the division operation.
The remainder is the leftover number in the division operation.
We have been given that
3.68086257145 divided by 6.533× 4,085,0811
First we simplify multiplication part
6.533× 4,085,0811 = 266878348.263
Now
3.68086257145 divided by 266878348.263
3.68086257145 ÷ 266878348.263
= 1.379228624370833401829E-8
Hence , 1.379228624370833401829E-8 is the result of the 3.68086257145 divided by 6.533× 4,085,0811 .
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please help, question is on the image.
The number of gigabytes Salma can use while staying in her budget is less than 4.
What is meant by the term inequality?In mathematics, an inequality is a connection between two expressions and values that aren't equal to each other.
Rule 1: Once inequalities are linked, they can be crossed. As a result, if an is greater than b and b is higher than c, a will be greater than c as well.Rule 2: When you swap the values, this same sign also flips.Rule 3: An inequality could be either > or, but not both at the same time.As per the given question;
The total budget of Salma is $75.
The flat cost is $55.
The cost per gigabytes is $5.
Let the number of gigabytes used be 'x'.
Then, the inequality becomes.
55 + 5x < 75
Subtracting 55 from both sides.
55 + 5x - 55 < 75 - 55
5x < 20
Divide both sides by the 5
x < 4
Thus, the number of gigabytes Salma can use while staying in her budget is less than 4.
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2x - y = 7
Find the x and y intercept
Which of the contexts below could not be modeled by an exponential function?
A music service has a fixed monthly cost and charges $0.75 for each downloaded
song.
A town's population shrinks at a rate of 4.2% every year.
A population of 200 bacteria triples every week.
A radioactive compound decays at a rate of 10% per hour.
Answer:
The music service one
Which point is located on the y axis iready
Construct RS so that RS is bisector to PQ
help i’m haveing a hard time
The result of the function f(x)=x+6 when x= -2,0 and 5 is
f(-2)= 4
f(0)= 6
f(5) = 11
The function is f(x) = x+6
The function is an expression that shows the relationship between one variable and another variable. One variable will be independent variable and another variable will be dependent variable.
The given function f(x) = x+6 when x =-2, 0 and 5. Here we have to substitute the values of x in the given function
f(x) = x+6
f(-2) = -2+6
= 4
f(0) = 0+6
= 6
f(5) = 5+6
= 11
Hence, the result of the function f(x)=x+6 when x= -2,0 and 5 is
f(-2)= 4
f(0)= 6
f(5) = 11
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a. Find the length of each side of the quadrilateral. What do you notice?
b. Find the slope of each side of the quadrilateral. What do you notice? Are any sides parallel or perpendicular?
c. Find the length of each diagonal (the segment that goes from one vertex to an opposite verter), What do you notice?
d. Find the slope of each diagonal. What do you notice?
(1. List the properties that you find, (Ex. Are all sides congruent? Perpendicular? Etc)
(a) The lengths of RE, EC, CT, and TR are 8, 13, 8, and 13, respectively.
(b) The slopes of RE, EC, CT, and TR are 0, not defined, 0, and not defined, respectively.
(c) The lengths of RC and ET are √233 and √233, respectively.
(d) The slopes of RC and ET are -13/8 and 13/8, respectively.
The quadrilateral RECT is a rectangle.
The vertices of the quadrilateral are R(1, 7), E(9, 7), C(9, -6), and T(1, -6).The length of the side RE is √[(1-9)² + (7-7)²] = 8.The length of the side EC is √[(9-9)² + (7-(-6))²] = 13.The length of the side CT is √[(9-1)² + (-6-(-6))²] = 8.The length of the side TR is √[(1-1)² + (-6-7)²] = 13.The length of the diagonal RC is √[(1-9)² + (7-(-6))²] = √233.The length of the diagonal ET is √[(9-1)² + (7-(-6))²] = √233.The slope of the side RE is (7-7)/(9-1) = 0.The slope of the side EC is (-6-7)/(9-9) = Not Defined.The slope of the side CT is (-6-(-6))/(1-9) = 0.The slope of the side TR is (7-(-6))/(1-1) = Not Defined.The slope of the diagonal RC is (-6-7)/(9-1) = -13/8.The slope of the diagonal ET is (-6-7)/(1-9) = 13/8.The sides RT and EC are equal in length and parallel to each other.The sides RE and TC are equal in length and parallel to each other.All the sides are perpendicular to their adjacent sides.Hence, we conclude that the quadrilateral RECT is a rectangle.To learn more about rectangles, visit :
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this is my first question of my unit test sorry i cant give much
The answer is 876. Hope this helps.
Answer:
Option 2: 876
Step-by-step explanation:
[tex]\frac{13,140}{15} = 876[/tex]
find the angles of this
Angles of ∠y is 45° and ∠x is 135°.
What are angles?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
Given Data
SRQ = 130°
∠R = 130°
As PR is the same line
So. angles of the line is 180°.
∠Y + ∠R = 180
∠y = 180 - 135
∠y = 45°
Now, PQ is the straight line
∠y +∠x = 180
∠x = 180-45
∠x = 135°
Angles of ∠y is 45° and ∠x is 135°.
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Help me. I'm so stinking confused.
Answer: There are 7 coffee shops per square mile
Step-by-step explanation:
1,400,000/100,000=14
14x17=238
238/34=7
Plot the following ordered pairs on the same Cartesian plane for each one.
1.(2,3)
2.(0,-7)
3.(-5,9)
A graph of the given ordered pairs has been plotted as shown in the image attached below.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
What is an ordered pair?An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.
In conclusion, a graph which represents the given ordered pairs shows a discrete function.
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