Answer:
[tex]\boxed{\sf{4(5x+3y-7)}}[/tex]
Step-by-step explanation:
It is necessary to find the factors and solve them using their expressions in order to solve this problem.
20x+12y-287*4=28
3*4=12
5*4=20
Rewrite the problem down.
5*4x+3*4y+7*4
Solve.
Common term of 4.
4(5x+3y-7)
Therefore, the final answer is 4(5x+3y-7).I hope this helps you! Let me know if my answer is wrong or not.
[tex]========================================[/tex]
In order to factor this expression, we should factor out the common term (divide all terms in the polynomial by the common term)
In this case, the common term is
4
Note:- Usually, we factor out the G.C.F. (Greatest Common Factor)
So here, the G.C.F. is 4.
Why 4? Because in this trinomial (a polynomial with 3 terms) all 3 terms are divisible by 4.
So divide all the terms
5x
3y
-7
Put 4 outside the parentheses:
4(5x+3y-7)
Is the trinomial in its simplest form? Sure!
Hence, we are done! :)
[tex]================================[/tex]
note:-Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer. :)
A researcher is studying the relationship between the number of TVs owned by a family and the size of the family's electric bill. After collecting data, he finds that the relationship is best modeled by the equation B = 2.43T + 95.66, where B is one month's electric bill in dollars and T is the number of TVs owned by the family. Which of these is a good interpretation of the y-intercept of this model?
Answer:
Step-by-step explanation:
No choice is given but here is the general interpretation.
Y-intercept is where the plot crosses the y-axia at x=0. In this case, x is T which represents number of TVs owned by the family. T=0 meaning there is no TV and B = 96.66 is the one month's electric bill in dollars for all other appliances in the home.
Given function
B=2.43T+95.66Now
Compare to slope intercept form y=mx+b
Slope=m=2.43Y intercept=b=95.66Here y intercept may be the fixed charge .
Can someone help me if you can??? please and thank you! :)))))))
Answer:
Here is the answer
Step-by-step explanation:
Interest=$580 x 6.5%
=580 x 6.5/100
=$37.70
$37.70= 37dollars and 70 cents
A storage compartment is shaped like this hexagonal prism. The prism has a base area of 7.35 cm².
What is the volume of the compartment?
Enter your answer as a decimal in the box.
cm³
The volume of the compartment shaped like this hexagonal prism is 29.4 cm³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a hexagonal prism = area of base * height
Hence:
Volume = 7.35 cm² * 4 cm = 29.4 cm³
The volume of the compartment shaped like this hexagonal prism is 29.4 cm³
Find out more on volume at: https://brainly.com/question/1972490
Answer:
The answer is 29.4 cm^3! The first user has it correct dont worry guys^_^
Step-by-step explanation:
I took the k12 4.12 Unit Test: Three-Dimensional Geometry - and got a 90% ^_^
Good luck with the rest of the questions! If you had question 4 "A minuture connector is shaped like a hexagonal prism. The prism has a base area of 8.15 cm^3. What is the volume of the compartment?"
Then your answer would be 32.6 cm^3
Use your TI-83 to determine the necessary t* value for a 90% confidence interval
based on a sample size of 55 and a sample standard deviation of 7.42.
2.005
1.669
1.96
1.645
2.67
Answer:
Step-by-step explanation:
It is 1.645. My calculator is a little off though; see attached picture.
write 0.0569 correct to one significant figure
Answer:
0.05
Step-by-step explanation:
- All zeros before any non-zero digit in decimal are non-significant.
-All zeros after any non-zero digit in decimal are significant.
Therefore, the answer is 0.05.
PLEASE HELP. I need to create a roller coaster that consists of at least 4 different degree 3 and above polynomials.the polynomials must be connected to one another without any graphs. It has to be 5-6 minutes long. the start height must be at least 200 feet but no greater than 300 feet. the maximum height of the roller coaster must not be greater than 400 feet. The track must go into an under tunnel that is 20 feet or less at least once. the maximum depth of the tunnel must not be greater that 50 feet. No drop can be too steep. I will give 100 points
Answer:
add it all up
Step-by-step explanation:
Help please thank youuu
Answer:
18 mi^2
...
...
...
...
...
Answer:
42 square miles
Step-by-step explanation:
The area of a composite shape can be found by decomposing it into shapes whose area formulas you know. Here, the shape can be decomposed into a triangle and two rectangles. The two rectangles can be formed several ways.
TriangleThe area of the triangle at the top of the figure is ...
A = 1/2bh
A = 1/2(6 mi)(3 mi) = 9 mi²
Overall rectangleThe area of the overall rectangle (including the space at lower right) is ...
A = LW
A = (9 mi)(5 mi) = 45 mi²
Deleted spaceThe area of the rectangle at lower right that is not included in the shaded area is ...
A = LW
A = (4 mi)(3 mi) = 12 mi²
Total areaThe total area of the figure is the sum of the triangle and overall rectangle, less the excluded area at lower right.
total area = 9 mi² +45 mi² -12 mi² = 42 mi²
The area of the figure is 42 square miles.
_____
Additional comment
Other ways to divide the figure into two rectangles are ...
extend the vertical line to make a 9×2 and a 3×5 rectangleextend the horizontal line to make a 4×2 and a 5×5 rectangleThe fifth grade classes are having a food drive. There are 84 students in the fifth grade. The goal is for each student to collect 16 cans of food. How many cans will be collected in all if each fifth-grader achieves the goal?
Hey there!
Easy word problem
Since there are 84 students total and their goal is to collect 16 cans
We multiply
=> 84 × 16 ⇒ 1,344
Therefore, 1,344 cans will be collected in all if each fifth-grader achieves the goal
It's Eva's turn to bring the halftime snacks for her soccer team. She helps her dad cut up
oranges and wash grapes, and they load everything into a cooler shaped like a rectangular
prism. The cooler is 22.5 inches long, 12 inches wide, and has a volume of 4,320 cubic
inches.
How tall is the cooler?
Write your answer as a whole number or decimal. Do not round.
Answer:
Volume = a.b.c = k^3
Step-by-step explanation:
Volume = a * 22.5 * 12 = 4320
a = 16 inches
4+8÷2-2×3 what would we do first a 4+8 b8÷2 c2-2 d2×3
Answer:
multiplication, so d, 2 x 3
Step-by-step explanation:
remember... PEMDAS!!
Which of the following equations could be used to solve for the tenth term of the following sequence? 15,13,11,9,… A(10)=15+10(-2), A(10)=15+9(-2),A(10)=15+10(2),A(10)=15+9(2)
Answer:
the first one
Step-by-step explanation:
Kathy was building a bed for her dollhouse. She used her bed, which is 3 feet × 5 feet, as a guide. She scaled down the dimensions of her bed by a factor 1 over 5 . What are the dimensions of the model bed she built? (1 point) 0.06 ft × 0.1 ft 0.3 ft × 0.5 ft 0.03 ft × 0.05 ft 0.6 ft × 01 ft
Answer:
0.6 x 0.1
Step-by-step explanation:
I need help this is so confusing
so point C would be on Quadrant I
T on Quadrant II, H on Quadrant III and R is not really on a quadrant, the coordinate is on the X axis.
Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x - 2? (1 point)
Answer:
A = 3x² - x - 10
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width , then
A = (3x + 5)(x - 2)
each term in the second factor is multiplied by each term in the first factor.
A = 3x(x - 2) + 5(x - 2) ← distribute parenthesis
= 3x² - 6x + 5x - 10 ← collect like terms
= 3x² - x - 10
Answer:
A = 3x² - x - 10
Step-by-step explanation:
A = length × width
A = (3x + 5)(x - 2)
A = 3x(x - 2) + 5(x - 2)
A = 3x² - 6x + 5x - 10
A = 3x² - x - 10
20 points
Data from a certain village hospital show that the number of frostbite cases is positively correlated with the number of sledding accidents. Which of the following factors would
best explain why this correlation does not necessarily imply that frostbite is the main cause of sledding accidents?
People with frostbite tend to have more difficulty controlling sleds.
the frostbite cases and sledding accidents were not randomly selected.
The hospital treats more sledding accidents than cases of frostbite.
It is likely that both the number of frostbite cases and the number of sledding accidents are negatively correlated with temperature.
Answer: it is likely that both the number of frostbite cases and the number of sledding accidents are negatively correlated with temperature.
Step-by-step explanation: I just took the test.
The correct answer is the frostbite cases and sledding accidents were not randomly selected.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
If the data for the number of frostbite cases and sledding accidents were not randomly selected, then the correlation between them might not be valid.
if the data were only collected during a specific time period when sledding was popular and the weather was cold, then the number of frostbite cases and sledding accidents might be higher than normal.
In this case, the correlation might be due to the common factor of cold weather, rather than frostbite causing sledding accidents.
Therefore, it is important to consider the methodology of the study and the factors that might influence the correlation between frostbite cases and sledding accidents before concluding that frostbite is the main cause of sledding accidents
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Round 68.09 to 2 Sf please
About 11,000 species of Lepidoptera (butterflies and moths) have been identified in the United States. Only 679 of them are butterflies. What is the percentage of the Lepidoptera species in the United States are butterflies?
*Science+Math*
Answer:
total no. of butterflies=11000
no.of butterflies=679
percentage of butterflies=?
Percentage of butterflies= (11000/679) percent..
= 16.20 percentage
therefore 16.20 percentage butterflies are in US
The lengths of the diagonals of a rhombus are 24cm and 18 cm respectively. What is the perimeter/
keeping in mind that in a rhombus all sides are equal, Check the picture below.
The perimeter of the rhombus is 60 cm if the lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively.
What is a rhombus?A rhombus is a two-dimensional shape with four straight, equal sides and parallels opposite pairs.
This form is similar to a diamond and is what you'd expect to see on a deck of cards to symbolize the diamond suit. Rhombuses can be found in a variety of settings in everyday life.
We have:
The length of the diagonals of the rhombus is 24 cm and 18 cm
As we know in the rhombus the diagonals intersect at the right angle so it makes a right-angle triangle.
So half of the right-angle 24 cm will be perpendicular to the right-angle triangle and half of the 18 cm will be the base of the right-angle triangle.
a = 24/2 = 12 cm
b = 18/2 = 9 cm
From the Pythagoras theorem the length of the hypotenuse:
[tex]c = \sqrt{12^2+9^2}[/tex]
c = 15 cm
Now the perimeter will be:
The perimeter of the rhombus = 4(15) = 60 cm
Thus, the perimeter of the rhombus is 60 cm if the lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively.
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John, Cindy, and Isaiah went to the store to buy school supplies. John bought 2 pens, 3 folders, and 4 notebooks for a total of $20. Cindy bought 5 folders and 5 notebooks for a total of $25. Isaiah bought 3 pens, 1 folder, and 2 notebooks for a total of $11
Using a system of equations, it is found that:
Each pen costs $0.6.Each folder costs $0.4.Each notebook costs $4.4.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: The cost of a pen.Variable y: The cost of a folder.Variable z: The cost of a notebookJohn bought 2 pens, 3 folders, and 4 notebooks for a total of $20, hence:
2x + 3y + 4z = 20.
Cindy bought 5 folders and 5 notebooks for a total of $25, hence:
5y + 5z = 25.
x + z = 5.
x = 5 - z.
Isaiah bought 3 pens, 1 folder, and 2 notebooks for a total of $11, hence:
3x + y + 2z = 11.
y = 11 - 3x - 2z
Replacing the second and the third equation on the first, we have that:
2x + 3y + 4z = 20.
2(5 - z) + 3(11 - 3x - 2z) + 4z = 20.
10 - 2z + 3[11 - 3(5 - z) - 2z] + 4z = 20.
2z + 3(11 - 15 + 3z - 2z) = 10
2z + 3(z - 4) = 10
5z = 22.
z = 4.4
x = 5 - z = 5 - 4.4 = 0.6
y = 11 - 3x - 2z = 11 - 3(0.6) - 2(4.4) = 0.4.
Hence:
Each pen costs $0.6.Each folder costs $0.4.Each notebook costs $4.4.More can be learned about a system of equations at https://brainly.com/question/24342899
Help please
What is 600 square feet converted to square yards?
Answer:
66.6667
Step-by-step explanation:
100% correct mark brainliest
3 students are in a race. How many ways can they finish in 1st, 2nd, and 3rd place?
Given cosθ = 3/5, find the five other trigonometric function values. 15
[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\qquad \impliedby \textit{let's now find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{5^2-3^2}=b\implies \sqrt{25-9}=b\implies \sqrt{16}=b\implies 4=b \\\\[-0.35em] ~\dotfill[/tex]
[tex]sin(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{hypotenuse}{5}}\qquad \qquad tan(\theta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\qquad \qquad cot=\cfrac{\stackrel{adjacent}{3}}{\underset{opposite}{4}} \\\\\\ sec(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{adjacent}{3}}\qquad \qquad csc(\theta )=\cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{4}}[/tex]
The values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:
sin(θ) = 4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
We're given that:
cosθ = 3/5 for some angle θ
Since we've got:
[tex]\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}[/tex]
Therefore, we have:
[tex]\dfrac{3}{5} = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}[/tex]
Let we consider a right angled triangle in which there is hypotenuse of length 5 units and base (from the perspective of one of its non-right angle) of 3 units (as shown in the image attached below).
(we couldve taken 3x and 5x instead of 3 and 5, for any positive real number value of 'x' as when we would take their ratio, that common factor 'x' would get cancelled out. We can think of 3 and 5 as the special case of 3x and 5x when x = 1)
Then, from that perspective, let the perpendicular be of the length 'p' units, then as per the pythagoras theorem, we get:
[tex]p^2 + 3^2 = 5^2\\p = \sqrt{25 - 9} = \sqrt{16} = 4 \: \rm units[/tex]
(took only the positive root to remove the square term because the value of p denotes length, which is a non-negative quantity).
Thus, we have:
From the perspective of the angle θ:
Length of the base = 3 unitsLength of the perpendicular = 4 unitsLength of the hypotenuse = 5 units.Thus, using these values, and the definition of the trigonometric ratios, we get:
sin(θ) = 4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4Thus, the values of the five other trigonometric functions value for the same input θ for which cos(θ) = 3/5 are:
sin(θ) = 4/5tan(θ) = 3/4cot(θ) = 4/3sec(θ) = 5/3csc(θ) = 5/4Learn more about Pythagoras theorem here:
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!!40 points and Brainliest if it’s correct!!ANSWER IT ONLY IF YOU KNOW THE ANSWER. IF YOU DONT KNOW DONT ANSWER IT. Make sure you explain please!
Which of the following shows the correct first step to solve x^2 - 16x = -21 by completing the square?
A)x^2 - 16x + 64 = -21
B) x^2 - 16x + 64 = -21 + 64
C) x^2 - 16x + 16 = -21 + 16
D) x^2 - 16x + 8 = -21 + 8
For using completing the square, first make sure that the coefficient of x² is 1, if it's not 1, then you need to make it 1, by dividing both sides of the equation by the coefficient whatever it is. So, jere the coefficient of x² is 1, so now we need to develop a whole square on both sides, for which,we will add the square of half of coefficient of x on both sides, so adding (-16/2)² = (-8)² = 64 on both sides, we will be having :
[tex]{:\implies \quad \sf x^{2}-16x+64=-21+64}[/tex]
Which suits the B) option
Hence, Option B) is correct
AABC ~ AQRS
Find the missing side length, n.
R
B
6
n
U
2
c
5
s
n = [?]
Enter
Answer:
n = 15
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{RS}{BC}[/tex] = [tex]\frac{QS}{AC}[/tex] ( substitute values )
[tex]\frac{n}{6}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )
2n = 30 ( divide both sides by 2 )
n = 15
The equivalent ratios are 6 : 3,
Answer:
2:1
Step-by-step explanation:
divide 6 by 3 to get 2 and divide 3 by 3 to get 1 making the awnser 2:1
Which expression is equivalent to –12 – 40?
Help please!!! 100 points
Answer:
I think the file of the picture is corrupted because it is not loading
Step-by-step explanation:
Answer: A
Step-by-step explanation:
P
E
M
A
S
HELPPPPPPPPP!
Wanda spun a spinner 30 times, and the results were recorded in the following tally chart
Answer:
30%
Step-by-step explanation:
So she spun the spinner 30 times so we divide the number of times she got solid by the 30 to get the answer in a percentage :)
9/30 = 0.3
Now we multiply the 0.3 by 100 to get it as a percent!
0.3 x 100 = 30%
Now you know how to find the probability of an object!
Have a great day!!
Please rate and mark brainliest!!
Explanation:
Count the tally marks for the "solid" in the middle row. The first portion is a group of 5 as shown by the slash mark. The second portion of that row is one short of five, so it's another 4 tallies. Overall, we have 5+4 = 9 tallies for the "solid".
This is out of 30 spins total. Therefore, we arrive at 9/30 = (3*3)/(3*10) = 3/10
I need help please….
Answer:
C. 7/20
Step-by-step explanation:
There are 20 arrival times on the table.
7 of those twenty are before 8:20.
p(before 8:20) = 7/20
Answer: C. 7/20
Help assappp
Line L is a line that passes through (-4,5)
and is parallel to the line described by
y-7=-2(x+1). Write the equation
of line l in point-slope form
Answer:
y-5=-2(x+4)
Step-by-step explanation: All you need to do is remember the point-slope form equation y-y1=m(x-x1), parallel slope (-2), then (-4,5). Plug in (-4,5) and -2 into the point slope form equation y-5=-2(x+4). That's all.