Answer:1/8
Step-by-step explanation: :D CALULATOR BAD SPELL I KNOW
Factor: 4y(3x+2)−2(3x+2)
Step-by-step explanation:
4y(3x+2)–2(3x+2)
(4y–2)(3x+2)
2(2y–1)(3x+2)
The Factor of given equation \(4y(3x+2)-2(3x+2)\) is \((2y-1) (6x+4)\) .
What is Factor ?Factor in an equation is something which is multiplied by something else or we can say that numbers or the variables that are multiplied together.
We have,
\(4y(3x+2)-2(3x+2)\)
So, first simplify the expression,
\(12xy+8y -6x-4\)
⇒ \(12xy-6x+8y-4\)
⇒ \(6x(2y-1)+4(2y-1)\)
From we can see that \((2y-1)\) is common in both terms,
Therefore,
⇒ \((2y-1) (6x+4)\)
So, \((2y-1) (6x+4)\) is the factor of the given expression.
Hence, we can say that the Factor of given equation \(4y(3x+2)-2(3x+2)\) is \((2y-1) (6x+4)\) .
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Which of the following rules represents the situations with money earned, E. hours worked, H, and rate payed, it
R?
Answer:
e=h/r
Step-by-step explanation:
QUICK I NEED HELP! ILL MARK BRAINLIEST IF CORRECT
Find the amount in a continuously compounded account for the following condition.
Principal, $2000; Annual interest rate, 5.1%; time, 3 years
Whats the balance after 3 years?
Answer:
The balance in the account after 3 years is approximately $2313.94.
Step-by-step explanation:
The formula for calculating the balance in a continuously compounded account is:
B = Pe^(rt)
Where:
B = balance
P = principal
e = Euler's number (approximately 2.71828)
r = annual interest rate (as a decimal)
t = time in years
Using the given values, we have:
P = $2000
r = 0.051 (5.1% expressed as a decimal)
t = 3
Plugging these values into the formula, we get:
B = 2000e^(0.051*3)
B = 2000e^(0.153)
B = $2313.94 (rounded to the nearest cent)
Therefore, the balance in the account after 3 years is approximately $2313.94.
Jane decides that he is spending too much money at his favorite coffee place. He finds that he can buy a bag of 24 ounces of ground coffee for $12 to make at home. It takes 2 tablespoons of ground coffee to make one cup of coffee. How much will each cup of coffee cost you? Note 2 tablespoons equals 1 ounce. Use the dimensional analysis method (use units in your calculations)
The amount that each cup of coffee cost you will be $0.5 per cup.
How to illustrate the information?It should be noted that the information illustrated that Jane decides that he is spending too much money at his favorite coffee place and she finds that he can buy a bag of 24 ounces of ground coffee for $12 to make at home.
It should be noted that since 2 tablespoons equals 1 ounce, the number of teaspoons will be:
= 24 × 2
= 48 teaspoons
Therefore, the amount that each cup of coffee cost you will be:
= Cost / Number of cups
= $12 / (48 / 2)
= $12 / 24.
= $0.5
Therefore, the amount that each cup of coffee cost you will be $0.5 per cup.
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At the end of the school year, Emily has 17 blank pages in the back of her notebook. She decides to fold some of the paper into origami flowers to give to her friends. She also plans to use some of the paper to make cards for her teachers. Let f represent the amount of paper, in pages, Emily uses to make origami flowers. Which inequality models the story? f> 17 f≥ 17 f < 17 f≤ 17
Answer: f ≤ 17
Step-by-step explanation:
She only has 17 sheets of paper, so you can eliminate f > 17 and f ≥ 17 easily.
The problem states that she'd be using some of the paper. This doesn't mean that she's going to use all of it, but she can.
Because we don't know how much she's going to use, your answer would be f ≤ 17.
Mom baked a Dutch apple pie in a 9-inch pie pan. She cut the pie into 6 equal pies so that
everyone gets the same sized piece.
a. Determine the central angle created by two pieces of pie.
b. Determine the area covered by each piece of pie to the nearest tenth of a square inch.
c. Determine the circumference of the original pie to the nearest tenth of an inch.
9
d. If a piece of pie had an arc length of g7, determine the area of the piece of pie to the
nearest tenth of a square inch. What would be the central angle of this piece of pie?
The area and arc length of each piece can be found using the
relationship between a circle and a sector of the circle.
Responses (b, c, and d are approximated):
a. 120°
b. 10.6 square inch
c. 28.3 in.
d. Area: 15.8 in.², Central angle: 89.1°
How can the pie pieces dimensions be evaluated?Given:
Diameter of the pan, d = 9-inch
Number pie pieces cut from the apple pie = 6
The pie pieces are sectors of a circular pie.
a. The central angle of one pie pieces = \(\dfrac{360^{\circ}}{6}\) = 60°
Therefore;
The central angle of two pie pieces = 2 × 60° = 120°b. Area of circular pie = π·r²
Where;
\(r = \mathbf{\dfrac{d}{2}}\)
Therefore;
\(r = \dfrac{9}{2} = \mathbf{ 4.5}\)
\(The \ area \ covered \ by \ each \ pie \ piece = \dfrac{\pi \times 4.5^2}{6} \approx \mathbf{10.6}\)
The area covered by each pie piece is approximately 10.6 square inchc. The circumference of a circle = 2·π·r
The circumference of the original pie = 2 × π × 4.5 in. ≈ 28.3 in.
d. Let the arc length of the pie piece = 7 inches
\(\mathbf{Area} \ of \ the \ \mathbf{pie \ piece}= \dfrac{7}{2 \cdot \pi \cdot 4.5} \times \pi \times 4.5^2 = \dfrac{7}{2 } \times 4.5 = 15.75 \approx 15.8\)
The area of the pie piece is approximately 15.8 in.²\(The \ central \ angle \ of \ the \ pie \ piece = \dfrac{7}{2 \cdot \pi \cdot 4.5} \times 360^{\circ} \approx \underline{ 89.1^{\circ}}\)
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1) A furniture company buys chairs at wholesale price of $48. They mark up the price so they make a 30% profit. How much will one chair sell for? *
Answer:
14.4
Step-by-step explanation:
48 divided by 0.30 = 14.4
A person invests $3,500 in an account that earns 7.5% interest compounded continuously. What is the value of the investment after 4 years?
I think it's: 4,674.14$
Answer:
A = $4724.36
Step-by-step explanation:
P = $3500
r = 7.5% = 0.075
t = 4years
n = 365
\(A = P(1 + \frac{r}{n})^{nt}\\\\\)
\(=3500(1 + \frac{0.075}{365})^{365 \times 4}\\\\=3500(1.00020547945)^{365\times4}\\\\= 3500 \times 1.34981720868\\\\= 4724.36023037\\\\= \$ 4724.36\)
I need help this is easy tho!
Answer:
it is true
it's a quadralateral
1;3;5;7…(determine the value of the 19th term of the sequence)
Answer:
37
Step-by-step explanation:
fistly find how much different
3-1=2 5-3=2 7-5=2
so for the next and next value just plus two until the 19th then you will get 37
=============================================================
Explanation:
a = 1 is the first term
d = 2 is the common difference, since we add 2 to each term to get the next term.
The nth term is a+d(n-1) which becomes 1+2(n-1). That simplifies to 2n-1
The last step is to plug in n = 19 and you should get 2(19)-1 = 37
Qasim spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The plane maintains a constant altitude of 7200 feet. Qasim initially measures an angle of elevation of 16 ∘ ∘ to the plane at point � A. At some later time, he measures an angle of elevation of 38 ∘ ∘ to the plane at point � B. Find the distance the plane traveled from point � A to point � B. Round your answer to the nearest foot if necessary.
The distance from point B to point A is given as follows:
15,893 ft
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:
Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.For each angle, we have that:
The position is the adjacent side.The height of 7200 feet is the opposite side.Hence the position A is obtained as follows:
tan(16º) = 7200/a
a = 7200/tangent of 16 degrees
a = 25109 ft.
The position B is obtained as follows:
tan(38º) = 7200/b
b = 7200/tangent of 38 degrees
b = 9216 ft.
Hence the distance is of:
25109 - 9216 = 15,893 ft.
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Tim saw that a pair of $200 dollar jeans had been marked down by 20%. He told his friend that if you took the new price of the jeans and increased that value by 20%, the jeans would return to the original price of $200. is he correct or no?
Hey there!
The answer is no, they would not return to the original price of $200.
This is because when you decrease 200 by 20%, you get 160. Then, if you increase 160 by 20%, you get 192. This is because 20% of 200 and 20% of 160 is different.
Hope this helps! Have a great day, and good luck on your assignment!
Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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How many meters of binding are required to bind the edge of a rectangular quilt that measures 5 m by 7 m?
Answer: 24
Step-by-step explanation: To find the perimeter, add all of the sides. 5+5=10 and 7+7=14. 10+14=24.
Answer:
24 m of binding required===============
GivenDimensions of rectangle 5 m and 7 m.Find its perimeterP = 2(l + w)P = 2(5 + 7) = 2(12) = 24 mSuppose that 3y - 5 = 45 and y = 3x - 2.
Which of the following equations is equivalent to 3y - 5=45, but written
only in terms of x?
a) 15x-10=40
b) 9x-6=50
c) 9x-6=40
d) 15x-10= 50
An equation that is equivalent to 3y - 5=45, but written only in terms of x include the following: B. 9x - 6 = 50.
How to solve this system of equations?In order to solve the given system of equations, we would apply the substitution method. From the information provided in the image attached above, we have the following system of equations:
3y - 5 = 45 .......equation 1.
y = 3x - 2 .......equation 2.
By using the substitution method to substitute equation 2 into equation 1, we have the following:
3(3x - 2) - 5 = 45
9x - 6 - 5 = 45
9x - 6 = 45 + 5
9x - 6 = 50.
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Pepe is putting up a fence in his backyard to enclose a garden in form of a triangle. The garden
already has sides enclosed with eight feet and five feet of fence, respectively. What can you say
about the length of the third side?
A
The side needs a fence that is shorter than 8 ft. but not necessarily longer than 5 ft.
The side needs a fence that is longer than 3 ft. and shorter than 13 ft.
C
The side needs exactly 8 ft. of fence.
The side needs exactly 11 ft. of fence.
D
Answer:
We know that in a triangle, given two sides, the third one must be smaller than the sum of the given sides, but greater than their difference:
z < x + y
z > x - y
Therefore, the length of the third side will be between the difference and the sum of the other two sides. In our case:
x + y = 13
x - y = 3
Hence, the correct answer is: B) The side needs a fence that is longer than 3ft. and shorter than 13ft.
Step-by-step explanation:
6.334*104=6.334*10<sup>4</sup>=
Answer:
what's that
Step-by-step explanation:
If cos(t)=17cos(t)=17 and tt is in the fourth quadrant, find sin(t).
The value of sin(t) in fourth quadrant is -120/169.
What is a quadrant ?Given that cos(t)= 17
t is in fourth quadrant, so sint<0 and cost>0
So sint = -sqrt(1-cos^2(t))= -sqrt(1-25/169)= - sqrt((169-25)/169)= -12/13
Sin(2t) = 2sin(t)cos(t)= 2*-12/13* 5/13 = -120/169
The region enclosed by such an arc and two sketched radii, one at each extremity. a component of a machine that has a quarter-circle form.
Each of the four divisions of the coordinate plane is referred to as a quadrant. Additionally, when we refer to the sections, we mean the sections as they are divided by the coordinate axes. The x-axis is located here, and the y-axis is located on this up-down axis. As you can see, it creates four portions on a coordinate plane.
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A woman can bicycle 52 miles in the same time as it takes her to walk 16 miles. She can ride 9 mph faster than she can walk. How fast can she walk?_______mph
4 mph
Explanation
Step 1
let x represents the speed when she bicycle
let y represents the speed when she walks
so,
A woman can bicycle 52 miles in the same time as it takes her to walk 16 miles.
\(\begin{gathered} \text{time}=\frac{dis\tan ce}{\text{sped}} \\ time_b=time_w \\ \frac{52}{x}=\frac{16}{y} \\ \text{cross multiply} \\ 52\cdot y=16\cdot x \\ 52y=16x\rightarrow equation\text{ (1)} \end{gathered}\)and
She can ride 9 mph faster than she can walk, ( in other words you have to add 9 to the spee when she walks to obtain the speed when she runs,
\(x=y+9\rightarrow equation\text{ (2)}\)Step 2
solve for y
\(\begin{gathered} 52y=16x\rightarrow equation\text{ (1)} \\ x=y+9\rightarrow equation\text{ (2)} \end{gathered}\)replace the x value from equation (2) in equation (1).
\(\begin{gathered} 52y=16x\rightarrow equation\text{ (1)} \\ 52y=16(y+9) \\ 52y=16y+144 \\ \text{subtract 16 y in both sides} \\ 52y-16y=16y+144-16y \\ 36y=144 \\ \text{divide both sides by 36} \\ \frac{36y}{36}=\frac{144}{36} \\ y=4 \end{gathered}\)so, she can walk to 4 miles per hour
I hope this helps you
Nisha and Tim are reading the same book, Nisha has finished 9/10 of the book. Tim has finished 8/9 of the book. Who has read more?
Answer:
Tim has read more he has read 9 of the books and she has only read 8
Answer: Nisha
Step-by-step explanation: because if you divided 8 and 9 it will be bigger than 9 and 10
During the past year, Mrs. Singh purchased 29 books at a wholesale club store. She purchased softcover books for $3.50 each and hardcover books for $11.50
each. The total cost of the books was $205.50. How many of each type of book did she purchase?
Part 1 of 2
Mrs. Singh purchased (blank) softcover books
Part 2 of 2
Mrs. Singh purchased (blank) hardcover books.
Answer:
Step-by-step explanation:
Let's assume the number of soft-cover books Mrs. singh purchased as y.
let's assume the number of hard-cover books Mrs. singh purchased as x.
Total number of books purchased = 29 (given)
i.e. (hardcover books) + (softcover books) = 29
x + y = 29 ........................(i)
Total amount spent on books = Rs.205.50
i.e. (cost of hardcover books) + (cost of softcover books) = 205.50
(price * no. of hardcover books) + (price * no. of softcover books) = 205.50
(11.50*x) + (3.50*y) = 205.50 ......................(ii)
from eq(i),
we find x,
x = 29-y
putting the value of x in eq(ii),
(29-y)11.50 + 3.50y = 205.50
333.50 - 11.50y + 3.50y = 205.50
8y = 128
y = 16
so, x = 29 - 16 = 13
Therefore, the number of soft cover books purchased by Mrs. Singh is 16 and the number of hardcover books purchased by Mrs. Singh is 13.
Sphenathi stated that the distance from Bloemfontein to upington is 16.3 show all calculations whether his claim is correct
The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.
To determine the distance between Bloemfontein and Upington, we used the Haversine formula, which computes the shortest distance between two points on the surface of a sphere. We first begin by finding the latitude and longitude of the two cities.Bloemfontein is located at -29.1211° latitude and 26.2140° longitude.Upington is located at -28.4478° latitude and 21.2561° longitude.Using the Haversine formula, we can determine that the distance between the two cities is about 582 kilometers.Sphenathi's statement that the distance from Bloemfontein to Upington is 16.3 kilometers is incorrect. Perhaps they mistakenly calculated the distance between two points within the cities. They could also have made a typographical mistake while writing their statement. Therefore, the statement is false, and the actual distance between Bloemfontein and Upington is 582 kilometers.For such more question on longitude
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Use the functions f(x)=-x^2+8x-11 and h(x)=-x-7
h(8)-2*f(3)
This is called question #18 on the worksheet images.
Answer:
Step-by-step explanation:
h(8) = -8 - 7
h(8) = -15
f(3) = -(3)² + 8(3) - 11
f(3) = -9 + 24 - 11
f(3) = 4
h(8) - 2 f(3) = -15 - 2(4) = -23
The value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
Functions f(x) = -x²+8x-11 and
h(x)=-x-7
h(-8) = -8 - 7
h(-8) = -15
f(3) = -(3)² + 8(3) - 11
f(3) = -9 + 24 - 11
f(3) = 4
= h(8) - 2 f(3)
= -15 - 2(4)
= -23
Thus, the value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.
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The career placement office at a large university tracks the number of job applications graduating seniors complete before getting their first job. Data on college graduates suggests that most will send out a large number of applications before getting their first job. Which one of the following histograms best represents the distribution of job applications for graduating seniors?
a.Histogram III
b.Histogram II
c.Histogram IV
d.Histogram I
The histogram that best represents the distribution of job applications for graduating seniors is given as follows:
a. Histogram III.
How to identify the correct histogram?An histogram shows the number of times that each observation appears in a data-set.
Data on college graduates suggests that most will send out a large number of applications before getting their first job, hence the left bins on the histogram should have small numbers, while the right bins on the histogram should have greater numbers.
The only histogram that follows this pattern is Histogram III, hence option A gives the histogram that best represents the distribution of job applications for graduating seniors.
Missing InformationThe histograms are given by the image shown at the end of the answer.
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Eddie is reading a novel for English class. He has read 168 out of 480 pages. What percent of the book has he read?
Answer:
0.35%
Step-by-step explanation:
12 5/6 -7 1/3
fractions reduceing
Answer: 5 1/2
Step-by-step explanation:
12 5/6 - 7 1/3
Find an equivalent fraction for 7 1/3
12 5/6 - 7 2/6
5 3/6
Simplify
5 1/2
12 5/6 - 7 1/3
12-7= 5 and
5/6-1/3= {lcm of 6 and 3}
5-2/6= 3/6
3/6 = 1/2
final answer = 5 1/2
“Type ‘equal, supplementary, complementary, or vertical in the space provided’”
Answer:
Supplementary
Step-by-step explanation:
When the sum of 2 angles equal 180°, they are called supplementary angles. And they also form a straight line together.
<AOB (40°) and <BOC (140°) are not equal angles.
<AOB (40°) and <BOC (140°) are not complementary angles. Complementary angles add up to equal 90°.
<AOB (40°) and <BOC (140°) are not vertical angles. Vertical angles are opposite angles formed when two lines intersect.
<AOB (40°) and <BOC (140°) are supplementary angles. They add up to equal 180°.
A bag is filled with an equal number of red, yellow, green, blue, and purple socks. The theoretical probability of a child drawing 2 yellow socks from the bag with replacement is one fifth. If the experiment is repeated 175 times, what is a reasonable prediction of the number of times he will select 2 yellow socks?
one fifth
10
25
35
35 is a reasonable prediction of the number of times he will select 2 yellow socks?
what is probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
What is event?In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.
In the given question,
The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:
P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25
So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.
To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:
E(X) = n * p
where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.
In this case, n = 175 and p = 1/25. So,
E(X) = 175 * (1/25) = 7
Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.
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A cake for 6 people requires 4 eggs. How many eggs are needed to make a cake for 9 people
4 eggs / 6 people = 2/3 eggs per person
9 people x 2/3 eggs per a person = 6 eggs
answer: 6 eggs
Please answer this correctly
Answer
51
Explanation
85/15=y/9
765=15y
51
Answer:
y = 51
Step-by-step explanation:
These triangles are similar, so you can set up a proportion to solve for y:
\(\frac{85}{15} =\frac{y}{9}\)
Cross multiply:
\(\frac{765}{15y}\)
Divide 765 by 15:
y = 51