The simplified expression of 6(d - 6f) -6f- 3(-7f + 8d) is - 18d- 21f
How to simplify the expression with distribution?The expression is given as
6(d - 6f) -6f- 3(-7f + 8d)
Expand the brackets
6(d - 6f) -6f- 3(-7f + 8d) = 6d - 36f - 6f + 21f - 24d
Collect the like terms
6(d - 6f) -6f- 3(-7f + 8d) = 6d - 24d- 36f - 6f + 21f
Evaluate the like terms
6(d - 6f) -6f- 3(-7f + 8d) = - 18d- 21f
Hence, the simplified expression of 6(d - 6f) -6f- 3(-7f + 8d) is - 18d- 21f
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Name 3 pairs of adjacent angles and 3 pairs of vertical angles.
Hey there!
The answer for adjacent angles is BGC and CGD, CGD and DGE, and DGE and EGF.
The answer for vertical angles is AGB and EGD, DGC and AGF, and BGC and FGE.
Have a good day!
7. A farmer wants to start raising cows, horses, goats, and sheep, and desires to have a rectangular pasture for the animals to graze in. However, no two different kinds of animals can graze together. In order to minimize the amount of fencing she will need, she has decided to enclose a large rectangular area and then divide it into four equally sized pens by adding three segments of fence inside the large rectangle that are parallel to two existing sides. She has decided to purchase 7500 ft of fencing. What is the maximum possible area that each of the four pens will enclose?
Having a rectangular pasture for the animals to graze in is something a farmer wants in order to start growing cows, horses, goats, and sheep. She has decided to purchase 7500 ft of fencing. 1875 square feet is the maximum possible area that each of the four pens will enclose.
The maximum possible area of each pen is 1875 square feet. To calculate this, first calculate the total area of the large rectangle that the farmer is enclosing. To do this, multiply the total length of the fencing (7500 feet) by the width of the fence (1 foot). This gives us 7500 square feet as the area of the large rectangle.
Next, divide the area of the large rectangle by 4 to get the area of each pen. This gives us 1875 square feet as the maximum area of each pen.
Total Area of Large Rectangle = 7500 ft x 1 ft = 7500 sq ft
Area of Each Pen = 7500 sq ft / 4 = 1875 sq ft
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what is 8^100 / 8^50 is 8^50?
Answer:
8^50
Step-by-step explanation:
8^100 / 8^50
We know that a^b / a^c = a^(b-c)
8^(100-50)
8^50
a company orders 29 boxed lunches from a deli for $339.30. assume each boxed lunch is the same price. if c represents the total cost in dollars and cents of the lunch order for any number, b, of boxed lunches ordered, write a proportional equation for c in terms of b that matches the context.
Answer:
11.7b
Step-by-step explanation:
If you do 339.30 divided by 29 it equals 11.7 but the full equation would be c=11.7b
The proportional equation for the total cost 'c' in terms of the number of boxed lunches 'b' is:
c = (339.30 / 29) * b
What is proportion?
The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.
Let's assume that each boxed lunch costs the same amount, denoted by the variable 'x'.
We are given that the company ordered 29 boxed lunches for a total cost of $339.30. Therefore, we can write the equation:
29x = 339.30
To find the cost 'c' for any number 'b' of boxed lunches, we can set up a proportion:
29x / 29 = 339.30 / b
Simplifying this equation, we get:
x = 339.30 / 29
Now, we can substitute this value of 'x' back into the equation:
c = bx = b * (339.30 / 29)
Therefore, the proportional equation for the total cost 'c' in terms of the number of boxed lunches 'b' is:
c = (339.30 / 29) * b
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Rosa says she can break this array into 3 different sets of two smaller arrays . Is Rosa correct ? Explain . The array is a 6 by 8.
Answer:
yes
Step-by-step explanation:
because 6X8=48 and 48 dived by 3 equals 16
Arrays are dataset that are represented in rows and columns. Rosa's claim is correct.
What is an array?An array is a linear data structure that collects elements of the same data type and stores them in contiguous and adjacent memory locations.
From the question, we have:
6 rows and 8 columns
The number (n) of elements in the array is: n = Rows × Columns.
So, we have: n = 6 × 8 =48
Express as sum of three numbers, that is n=12+16+20
Express each term as a product, that is n=2 × 6 + 4 × 4 + 4 × 5
The above expression means that, the array can be split to:
An array of 2 by 6
An array of 4 by 4
An array of 5 by 4
Hence, Rosa is correct.
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f(x)=2x+7
g(x)=−x+1
What is the solution to the equation f(x)=g(x)
?
Answer:
-6
Step-by-step explanation:
2x+7=-x+1
x+7=1
x=-6
the flow curve expresses the behavior of a metal in which region of the stress strain curve T/F
the flow curve expresses the behavior of a metal in plastic region of the stress strain curve.
What is flow curve?When a sample is exposed to various shear rates or shear stressors, the change in shear viscosity is graphically shown by a flow curve.
A flow curve is a measurement performed on a rotating viscometer or rheometer in which the shear rate is increased stepwise and the corresponding shear stress is calculated for each shear rate. The characteristics of the instrument are used to compute the associated shear stress and viscosity.
Thus, the flow curve expresses the behavior of a metal in the plastic region of the stress strain curve.
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According to the flood frequency curve for the Navasota River, a flood event with a discharge of 60,000 cubic feet per second has a recurrence interval of approximately
The flood frequency curve for the Navasota River, a flood event with a discharge of 60,000 cubic feet per second has a recurrence interval of approximately X years.
The flood frequency curve is a graphical representation that shows the relationship between the discharge of a river during a flood event and the recurrence interval of that event.
To find the recurrence interval for a given discharge, you need to locate the discharge value of 60,000 cubic feet per second on the flood frequency curve.
Once you find this point, you can read the corresponding recurrence interval on the curve.
Keep in mind that the flood frequency curve is specific to the Navasota River, so the recurrence interval you find will be specific to that river. Different rivers will have different flood frequency curves due to variations in geography, climate, and other factors.
However, you can consult the flood frequency curve for the Navasota River to find the approximate recurrence interval for a flood event with a discharge of 60,000 cubic feet per second.
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In a scale drawing of a painting, 2 centimeters represents 7 inches.
The height of the real painting is 35 inches. What is the height of the painting in the scale drawing?
The height of the painting in the scale drawing is 10 centimeters if the height of the real painting is 35 inches given that in a scale drawing of a painting, 2 centimeters represents 7 inches. This can be obtained by using the ratio of scale drawing to the real drawing.
Find the height of the painting in the scale drawing:Here in the question it is given that,
In a scale drawing of a painting, 2 centimeters represents 7 inchesThe height of the real painting is 35 inchesThus we can say that, scale of the painting is 2 cm : 7 in
Ratio of scale drawing and real painting is 2 : 7
⇒ Similarly here height of the painting in the scale drawing to the height of the painting in the real drawing will be in the ratio 2 : 7.
We can say that,
2 cm/7 in = x cm/35 in
where x is the height of the painting in the scale drawing
2 cm × 35 in /7 in = x cm
x = 2 × 5 cm
x = 10 cm
Hence the height of the painting in the scale drawing is 10 centimeters if the height of the real painting is 35 inches given that in a scale drawing of a painting, 2 centimeters represents 7 inches.
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The length of a cell phone is 1. 21. 2 inches and the width is 3. 43. 4 inches. The company making the cell phone wants to make a new version whose length will be 1. 681. 68 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?.
Assuming the side lengths in the new phone are proportional to the old phone Then the width of the new phone will be 4.760 inches
Define Proportions
A direct proportion is a relation between variables where their ratio is a constant value.
The original length of a cell phone was L=1.2 inches and the original width was 3.4inches.
A new version of the cell phone is to be released with proportional dimensions with respect to the original cell phone.
We are given the length of the new phone L'=1.68 inches. The ratio of the lengths is 1,2/1.68=0.71428
The new width should be W'=3.4/0.71428=4.760 inches
The width of the new phone will be 4.760 inches
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pls answer fast ❗️❗️❗️
Volume = rule area × height
Volume = ( 1/2 × 8 × 9 ) × 4
Volume = 36 × 4
Volume = 144 cubic inches
Approximately what percentage of the almost 1,500 highway deaths in pennsylvania each year are attributed to aggressive driving?.
5o% of almost 1500 highway deaths in Pennsylvania each year are attributed to aggressive driving.
What is aggressive driving?Aggressive driving is defined as any behind-the-wheel exertion that, without regard for safety, puts another person( or people) and/ or property in peril.
Aggressive driving can vary from potentially dangerous conduct to serious assault.
From the data attained the percentage of the nearly 1500 highway deaths in Pennsylvania each year attributed to aggressive driving will be 50%
5o% of almost 1500 highway deaths in Pennsylvania each year are attributed to aggressive driving.
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Determine the absolute value
Answer:
64000
Step-by-step explanation:
The absolute value is the non-negative number
|64000| = 64000
1.4142 / 2 (must show work)
Answer:
2.378
Step-by-step explanation:
Train P travels for 330 km at an average speed of x km/h from Kuala Lumpur to Kota Bahru. Train Q travels from Kota Bahru at an average speed of (x-5) km/h and arrives at Kuala Lumpur 30 minutes earlier than train P. Calculate the total time, in hours taken by the 2 trains.
Answer:
Train P : \(t_{P} =\frac{330}{55}=6\ \text{hours}\)
Train Q : \(t_{Q} =\frac{330}{55}+\frac{1}{2}=6\ \text{hours}\ 30\ \text{minutes}\)
Step-by-step explanation:
The formula to compute the distance traveled by a train is:
\(d=s\times t\)
Here,
d = distance traveled
s = speed of the train
t = time taken
From the provided information:
Train P :
d = 330 km
s = x km/h
Then time taken is:
\(t=\frac{d}{s}=\frac{330}{x}\)
Train Q :
d = 330 km
s = (x - 5) km/h
\(t=\frac{330}{x}+\frac{1}{2}\)
Both the trains traveled the same distance.
\(x\times \frac{330}{x}=(x-5)\times [\frac{330}{x}+\frac{1}{2}]\\\\330=\frac{330(x-5)}{x}+\frac{x-5}{2}\\\\330\times 2x=[660(x-5)+x(x-5)]\\\\660x=660x-3300+x^{2}-5x\\\\x^{2}-5x-3300=0\\\\x^{2}+60x-55x-3300=0\\\\x(x+60)-55(x+60)=0\\\\(x-55)(x+60)=0\\\\x=55\)
Compute the time taken by the two trains as follows:
Train P : \(t_{P} =\frac{330}{55}=6\ \text{hours}\)
Train Q : \(t_{Q} =\frac{330}{55}+\frac{1}{2}=6\ \text{hours}\ 30\ \text{minutes}\)
If one-half of a number decreased by 20 is 40, what is the number?
Answer:
120
Step-by-step explanation:
Just add the 20 back to 40 and times by 2
40 + 20 = 60
60 * 2 = 120
Answer:
The number is: 120
Step-by-step explanation:
We have one-half of "a" decreased by 20 is 40
This means that:
(1/2)a-20=40
(1/2)a=60
a=120
Verify that both y_1(t) = 1 - t and y_2(t) = -t^2/4 are solutions of the initial value problem
Since y_1(0) = 1, it satisfies the initial condition. However, y_2(0) = 0 does not satisfy the initial condition, as it should be y(0) = 1. Therefore, only y_1(t) is a solution of the initial value problem.
To verify that both y_1(t) = 1 - t and y_2(t) = -t^2/4 are solutions of the initial value problem, we first need to understand what the problem is. An initial value problem is a differential equation that includes an initial condition. In this case, we can assume that the initial condition is y(0) = 1.
Now, let's substitute both y_1(t) and y_2(t) into the differential equation and see if they satisfy the initial condition. The differential equation is not provided, but assuming it is y'(t) = -t/2, we have:
y_1'(t) = -1
y_2'(t) = -t/2
Substituting y_1(t) and y_2(t) into the differential equation gives:
y_1'(t) = -1
= -t/2 (when t = 2)
y_2'(t) = -t/2
= -t/2 (for all t)
Thus, both y_1(t) and y_2(t) satisfy the differential equation. Now, let's check if they satisfy the initial condition.
y_1(0) = 1 - 0
= 1
y_2(0) = -0^2/4
= 0
In conclusion, y_1(t) = 1 - t is the only solution that satisfies the differential equation and initial condition, while y_2(t) = -t^2/4 is not a solution since it does not satisfy the initial condition.
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The figure below shows a line graph and two shaded triangles that are similar:
-20-16-12-8-40
-1
4 8 12 16 20
Which statement about the slope of the line is true?
The slope from point o to point A is one-fourth times the slope of the line from point A to point B.
The slope from point o to point A is four times the slope of the line from point A to point B.
Olt is throughout the line
It is -4 throughout the line.
Answer:
It is - \(\frac{1}{4}\) throughout the line
Step-by-step explanation:
The points O, A and B lie on the line and so the slope will be the same for OA, OB and AB
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = B(- 12, 3) and (x₂, y₂ ) = O(0, 0)
m = \(\frac{0-3}{0+12}\) = \(\frac{-3}{12}\) = - \(\frac{1}{4}\)
Thus the slope is - \(\frac{1}{4}\) throughout the line.
She plans to increase her distance by 6.9 percent each day. How far will she have run in total after 16 days if she runs 4.8 kilometers on the first day? Round your answer to the nearest whole number.
Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.
To find out how far she will have run in total after 16 days, we can use the formula for calculating compound interest:
A = P(1 + r/100)^n
Where:
A = Total distance run after n days
P = Initial distance (4.8 kilometers)
r = Rate of increase per day (6.9%)
n = Number of days (16)
Plugging in the given values, we can calculate the total distance:
A = 4.8(1 + 6.9/100)^16
Using a calculator or performing the calculations step by step, we get:
A ≈ 4.8(1.069)^16 ≈ 4.8(2.092473)^16 ≈ 4.8(2.628)
A ≈ 12.6144
Rounding to the nearest whole number, she will have run a total distance of 13 kilometers after 16 days.
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Point F is reflected over the y-axis to create F’. Use an ordered pair to name the location of F’, and determine the
distance between F and F’
DONT ANSWER UNLESS YOU KNOW IT!!!!! IM SCREWED IF I DONT GET THIS!!!! Also this is NOT a multiple choice it is a WRITING question don’t write a book but a few sentences. Thank you friends
Answer:
Reflection about the y-axis is according to the rule
(x,y)->(-x,y)
Therefore F(x,y) -> F'(-x,y)
The distance between F' and F is (-x,y)-(x,y)=-2x, or the positive distance is 2x.
Figurative language label each example of figurative language. choose between simile, metaphor, or personification. 1. the stars were as bright as jewels. 2. alex's nose was a red cherry when he came inside. 3. her smile wilted like day-old lettuce. 4. the cactuses were pincushions. 5. tulips hung their heads in shame. 6. the dry ground gratefully drank in the moisture. 7. tanya can be as pesky as poison ivy. 8. the stream mumbled to itself as it ran over the rocks.
Figurative language used are
Simile
Metaphor
Simile
Metaphor
Personification
Personification
Simile
Personification
What are the types of figurative language used?"The stars were as bright as jewels" is a simile, comparing the brightness of the stars to that of jewels.
"Alex's nose was a red cherry when he came inside" is a metaphor, likening Alex's red nose to a cherry.
"Her smile wilted like day-old lettuce" is a simile, comparing the wilting of a smile to day-old lettuce.
"The cactuses were pincushions" is a metaphor, suggesting that the cactuses resemble pincushions.
"Tulips hung their heads in shame" is personification, giving human-like qualities to the tulips by suggesting they feel shame.
"The dry ground gratefully drank in the moisture" is personification, attributing the action of drinking to the dry ground.
"Tanya can be as pesky as poison ivy" is a simile, comparing Tanya's peskiness to that of poison ivy.
"The stream mumbled to itself as it ran over the rocks" is personification, giving the stream the ability to mumble like a person.
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this answer to the problem. Kind of tricky.
suppose we should solve the following equation:
\(s = \frac{13}{2} (12 + 75)\)
which equals 565.5
How do you graph a system of linear inequality?
Answer:
To graph a system of linear inequalities, you will need to graph each inequality separately on the same set of axes. Here is the general process for graphing a linear inequality:
Begin by plotting the inequality's equation in standard form: Ax + By > C (or < C, or = C).
Determine the values of x and y that make the inequality true. To do this, set each side of the inequality equal to zero and solve for x and y. For example, if the inequality is 2x + 3y > 6, you would set 2x + 3y = 0 and solve for x and y.
Graph the line that represents the equation.
Determine the direction of the inequality by looking at the inequality symbol. If the symbol is ">," the line will be shaded above it. If the symbol is "<," the line will be shaded below it. If the symbol is "≥," the line will be shaded above it, including the line itself. If the symbol is "≤," the line will be shaded below it, including the line itself.
Repeat the process for each additional inequality in the system.
The solution to the system of inequalities is the area where all of the shaded regions overlap. This is the region where all of the inequalities are simultaneously true.
Here is an example of how to graph a system of linear inequalities:
Suppose we want to graph the following system of inequalities:
2x + 3y > 6
-x + 2y < 4
To graph the first inequality, we set 2x + 3y = 0 and solve for x and y. This gives us x = -(3/2)y. We can then plot this line on a graph.
Next, we determine the direction of the inequality by looking at the inequality symbol. In this case, the symbol is ">," so we shade the area above the line.
To graph the second inequality, we set -x + 2y = 0 and solve for x and y. This gives us x = (1/2)y. We can then plot this line on the same graph.
Next, we determine the direction of the inequality by looking at the inequality symbol. In this case, the symbol is "<," so we shade the area below the line.
The solution to the system of inequalities is the area where the shaded regions overlap. This is the region where both inequalities are simultaneously true.
6. How many times larger is the first number in the pair than the second? a. 34 is times larger than 3³. times larger than 5². times larger than 78. times larger than 17. times larger than 5*. b. 5³ is_____ c. 710 is d. 176 is e. 5 1⁰ is
3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.
3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3
This means that 3⁴ is 3 times larger than 3³.
5³ is 5 times larger than 5².
5³ / 5² = (5 × 5 × 5) / (5× 5) = 5
7¹⁰ is 49 times larger than 7⁸.
7¹⁰/ 7⁸ = 7² =49
17⁶ is 289 times larger than 17⁴.
17⁶ /17⁴ = 289
Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.
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Greta uses 3 ounces of pasta to make 3/4 of a serving of pasta.
How many ounces of pasta are there per serving?
Answer:
3 oz / 3/4
3*4/3=12/3=4
4 oz/1
4oz per serving
You withdraw $375 from your bank account. You receive a stack of 24 bills consisting of $5, $10, and $20 bills. The number of $5 bills is one-half the number of $10 bills. How many of each type of bill do you receive?
The first thing I did to solve this was notice that since the ones place of the withdrawal was a 5, there had to be an odd number of 5s. Also, the amount of 10s has to be even, so there has to be an odd number of 20s. Then I started trying combinations.
3,6,15 = 15+60+300=375
Hey, I got lucky! I got it first try!
You get three 5-dollar bills, six 10-dollar bills, and 15 20-dollar bills.please help me fast!
write 0.323,32.5% and 8/25 in order to least to greatest
A. 0.323, 8/25,32.5%
B.0.323, 32.5%, 8/25
C 8/25, 0.323, 32.5%
D 32.5%,0323,8/25
Answer:
C
Step-by-step explanation:
To compare these numbers, we need to express them in the same form. We can convert the percentage and fractions to decimal form.
32.5% as a decimal is 0.325 (by dividing by 100).
8/25 as a decimal is 0.32 (by dividing the numerator by the denominator).
Now we can compare all three numbers in decimal form: 0.323, 0.325, and 0.32.
In order from least to greatest, these numbers are: 0.32, 0.323, and 0.325.
So the correct answer is C: 8/25, 0.323, 32.5%.
Answer:
Option C
Step-by-step explanation:
Firstly, we should convert all of them into a standard format. We will convert all into decimal form.
1) 0.323
2) 32.5% = 32.5 ÷ 100 = 0.325
3) 8/25 = 8 ÷ 25 = 0.320
So, we have all the given elements in decimals. Now we can easily compare them. On comparing,
0.320<0.323<0.325
or
8/25<0.323<32.5%
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I really need help with this
Answer:
I don't have a grid with me but look at it this way. if you look at the first set of points look at where they are starting. and. then look at the second set of points. see if the points plotted bend over the x axis or the y axis:)
at the local pizza Parlor Game tickets can be trader for small toys. The rate is 10 tickets for 4 a small toys. If Meg 155 tickets playing basketball, for how many small twist can she treat her tickets?
Have you ever looked closely at sound waves? They may look like random lines at first glance. But if you zoom in, you will see that they are very similar to graphs of trigonometric functions. Like trigonometric functions, they appear as oscillating waves with a measurable frequency and amplitude.
In music, each note has a specific frequency, measured in hertz. The units for hertz are cycles per second (1 ÷ sec), or sec-1. The most common note used for tuning an instrument is the A next to middle C. Pianists often call this note A4. This note has a frequency of 440 Hz. This means that the note A4 has 440 cycles in one second. Any musical note can be graphed using the function f(x) = sin (y × 2πx), where y is the frequency of the note and x is the time in seconds.
Part A Using this graphing tool, graph the function for note A4. Paste a copy of the graph below, keeping the default scale. What does it look like? Why does it appear like that?
The graph of the sine function f(x) = sin(400πx) is given by the image at the end of the answer.
How to graph the sine function?The sine function in this problem is defined as follows:
f(x) = sin (y × 2πx).
In which the relevant variable for the graph is the variable y, which is the number of cycles in a single second of the wave.
In this problem, it is states that the note has a frequency of 440 Hz, meaning that it has 440 cycles in one second, thus the equation is:
f(x) = sin (440 × 2πx).
f(x) = sin (880πx).
The function is not multiplied by any value, hence the amplitude is of 1, meaning that the function oscillates between 0 and 1, and also there is not any phase shift or vertical shift, meaning that it oscillates between -1 and 1 starting at the origin.
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