Answer:
160-20=140. 140/4=$35.
Rewrite each algebraic expression in an equivalent form with the fewest
number of terms possible.
a. 6(x + 7)(x + 2)
b. (2y – 5)
c. (5x + 4y)(2x - y)
d. (3x + 7)(3x – 7)
e. (t + 2) – (4t +9) – t
Answer:
Step-by-step explanation:
The terms will be multiplied in order to get the simplified polynomials.
a. 6(x + 7)(x + 2)
[tex]6(x + 7)(x + 2)\\=6[x(x+2)+7(x+2)]\\=6(x^2+2x+7x+14)\\=6(x^2+9x+14)\\=6x^2+54x+84[/tex]
The simplified form of 6(x + 7)(x + 2) is [tex]6x^2+54x+84[/tex]
b. (2y – 5)^2
Using the formula: [tex](a-b)^2 = a^2+b^2-2ab[/tex]
[tex]=(2y)^2+(5)^2-2(2y)(5)\\=4y^2+25-20y[/tex]
The simplified form is: [tex]4y^2-20y+25[/tex]
c. (5x + 4y)(2x - y)
[tex]=5x(2x-y)+4y(2x-y)\\=10x^2-5xy+8xy-4y^2\\=10x^2+3xy-4y^2[/tex]
The simplified form of (5x + 4y)(2x - y) is [tex]10x^2+3xy-4y^2[/tex]
d. (3x + 7)(3x – 7)
Using the formula: [tex](a+b)(a-b) = a^2-b^2[/tex]
[tex]= (3x)^2-(7)^2\\= 9x^2-49[/tex]
The simplified form of (3x + 7)(3x – 7) is [tex]9x^2-49[/tex]
e. (t + 2) – (4t +9) – t
[tex]=t+2-4t-9-t\\=t-4t-t+2-9\\= -4t-7[/tex]
The simplified form of (t + 2) – (4t +9) – t is [tex]-4t-7[/tex]
Hence,
a. The simplified form of 6(x + 7)(x + 2) is [tex]6x^2+54x+84[/tex]
b. The simplified form is: [tex]4y^2-20y+25[/tex]
c. The simplified form of (5x + 4y)(2x - y) is [tex]10x^2+3xy-4y^2[/tex]
d. The simplified form of (3x + 7)(3x – 7) is [tex]9x^2-49[/tex]
e. The simplified form of (t + 2) – (4t +9) – t is [tex]-4t-7[/tex]
Consider a 176lb male farmer is in 104 degree heat. On this day, the humidity is low enough such that all the sweat evaporates from the farmer's skin, enabling him to maintain a body temperature of 100 degrees. The farmer sweats 1 liter of water per hour and 60% of the latent heat needed to Evan=pirate this sweat is provided by farmer's body. If the farmer suddenly dehydrates and stops sweating, how long will it take for his body temperature to rise to the near-fatal 104 degrees.
Answer:
t = 33 seconds
It is the amount of time when the temperature of the body will rise from 100 to fatal 104 in the absence of sweat.
Step-by-step explanation:
weight of the farmer = 176 lb
Sweating = 1 litre per hour
60% of above sweating is evaporated by the latent heat from farmers body.
Temperature outside = 104
Temperature of the Farmer = 100
Time to rise the temperature 4 degrees = ?
We need to use the specific heat formula to calculate the time to rise the temperature of the body of farmer.
Before, that let's convert weight of the farmer in Kg
W = 176 lb
1 lb = 0.453592 kg
176 lb = 79.8 kg
w = mg
g = 10
mass = m = 79.8/10
mass = 7.98 kg
Q = mc∆T
c = specific heat of water = 4,186
∆T = Temperature Change = 104-100
∆T = 4
Q = 7.98 x 4186 x 4
Q = 133617
t = Q/P
Power of Sun's Heat = 3.846×1026
t = 33 seconds
It is the amount of time when the temperature of the body will rise from 100 to fatal 104 in the absence of sweat.
*WORKSHEET ABOVE* HURRY!! please answer all the questions correctly AND SHOW YOUR WORK FOR EVERY SINGLE QUESTION PLEASE HURRY!!! THIS IS WORTH 20 POINTS
Answer: I am only in 4th grade !
Step-by-step explanation: I dont know ?
What is the simplified form of the expressions?
a. −6a2b−1
b. 5/y−3
Answer:
a.
-6a²/ b
b.
5y³
Step-by-step explanation:
a
-6a²b⁻¹
-6a²/ b
b.
5/ y⁻³
5 / 1/ y³
5 * y³/1
5y³
I need help, please solve this 2(x+5)^4=128
y=-4/7x-4
Can someone help me please
If a university accepts only 75 percent of applicants, and only 45 percent of accepted applicants enroll, what percentage of total applicants enroll
Answer = 33.75%
Step-by-step explanation: It might be intuitive to think of percentages as a part of 100. If only 75 percent of 100 applicants are accepted. Then 75 people are accepted. We now need to find 45 percent of 75 people. In order to do this we need to convert 45 percent into its decimal form and multiply it by 75.
.45*75 = 33.75 of the original 100 Applicants have enrolled.
Simplify
hurrryyyyyy pleaseee
Answer:
1
Step-by-step explanation:
Solve the system please
Answer:
(2,-1,1) I believe
Solve the proportion what y = ?
Answer:
y = 12
Step-by-step explanation:
proportions can be solved by cross-multiplying
to work with smaller numbers, you can simplify [tex]\frac{14}{10}[/tex] to be [tex]\frac{7}{5}[/tex]
[tex]\frac{7}{5}[/tex] = [tex]\frac{y+9}{15}[/tex]
7(15) = 5(y + 9)
105 = 5y + 45
60 = 5y
y = 12
what is the total surface area?
Answer:
136
Step-by-step explanation:
9*4=36+100=136
This table shows a proportional relationship between the number of cups of bananas and apples used for a smoothie.
Cups of
Bananas
Cups of Apples
1
6
2
12
4
24
Enter the number of cups of bananas used for 1 cup of apples.
cups
Answer:
For every 1 cup of banana you have to add 6 cups of apples. So it means there's six times as much apples as there is bananas. If there's 3 cups of apples, which is half of 6, it means the banana would now also have to be halved from 1 to half a cup.
Whatever you do to the bananas or the apples, you have to maintain the same ratio. Which is that apples is 6 times as much as bananas.
So 1 cup of apple would need to be divided by 6, to get banana. That would be approximately 1÷6= 0.167 cups
Reciprocal of 5/6=..............
Step-by-step explanation:
To find the reciprocal, divide 1 by the number given. Simplify. Multiply the numerator by the reciprocal of the denominator. Multiply 65 6 5 by 1 1 .
Orchids are a family of thousands of types of flowers that all share the same shape. Many gardening clubs are devoted to collecting, studying, and growing orchids, because it is difficult to grow them outside of their natural habitats. Which are scientific questions that can be asked about a collection of different orchid types? Check all that apply. Which type needs the highest temperatures to grow in? Which type has the most beautiful colors? Do all of the types make food the same way? Do all of the types deserve the same amount of admiration? How can someone decide which type makes the best gift? How long does it take for a specific type to make its seeds?
Answer:
The correct options are;
1) Which type needs the highest temperature to grow
2) Do all of the types make food the same way
3) How long does it take for a specific type to make seeds
Step-by-step explanation:
The number of types of species in the orchid family = Several thousand
The tasks the gardening clubs are devoted to = Collecting, Studying, and growing of the orchids
The manner of the growth of the orchids = Difficulty observed in growing outside the orchid's natural habitat
Scientific questions are objective questions that are measurable, well defined about parameters that can be controlled which can be answered by means of an experiment and meant to provide a deeper understanding of the nature of the world around us
Therefore, the scientific questions that can be asked about a collection of different orchid types are;
1) Which type needs the highest temperature to grow
The above is a question that has a defined parameter (temperature) which is measurable and the answer can be provided by experimenting
2) Do all of the types make food the same way
An experiment with different orchid types will provide an answer to the above question
3) How long does it take for a specific type to make seeds
The length of time for it takes the seed to grow is measurable within an experiment.
Answ do all types make food the same way? which type needs higher tempurturs to grow and do all types make food the same way
Step-by-step explanation:
i took the test
What point is on both lines y = {x +3 and y = x +1? (1 point)
Please help ASAP
Answer:
No point
Step-by-step explanation:
This is a trick question because if you break down the graphing equations to y=mx+b, you see that it is a linear graph, so it will have a straight line. For the first equations, y=x+3, you look at the original equations, y=mx+b. m=slope, b=x-intercept. Slope is rise/run (y/x) so the slope would be up one, over one (1/1=1). The x-intercept is 3 so its a straight line but it intercepts at 3. The next equation is the exact same thing, but the x-intercept is at 1. A straight line that intercepts at 1. So it is two parallel lines that never ever touch. So this is a trick question.
Geometry help please explain
Answer:
<A and <C
Step-by-step explanation:
If EA and EC are congruent, the angles <A and <C are also congruent
Answer:
angle A congruent to angle C
What is the slope of the line that passes through the points (−4,−3) and (14,0)?
Answer:
[tex]m=\frac{1}{6}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, -3)
Point (14, 0)
Step 2: Find slope m
Substitute [Slope Formula]: [tex]m=\frac{0+3}{14+4}[/tex]Evaluate Addition: [tex]m=\frac{3}{18}[/tex]Simplify: [tex]m=\frac{1}{6}[/tex]help please I beg you
Answer:
a. x= 5
b. x=9
Step-by-step explanation:
a.
2x=10
10/2=5
x=5
b. 3x=27
27/3=9
x=9
Please mark me brainliest
:)
Answer:
a) x=5
b) x=9
Step-by-step explanation:
a) 2x=10
x=10/2
x=5
b)3x=27
x=27/3
x=9
A rectangle has vertices (w,v), (w,z), and (z,z). Find the fourth vertex.
9514 1404 393
Answer:
(z, v)
Step-by-step explanation:
When the sides of the rectangle align with the axes, as here, the coordinates will be all (x, y) combinations from the sets x ∈ {w, z) and y ∈ {v, z}. Three of those combinations are shown. The fourth is (z, v).
solve for y when x=4
-y+5x=2(y+7x)
A. y=18
B. y=7
C. y=4
D. y=-12
Answer:
D.) y=-12
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you!! :)
can anyone please help i am stuck on this question?
Answer:
8/17
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the ratio.
Step 2: Identify
POV from angle S
Adjacent = 8
Hypotenuse = 17
Step 3: Write
Substitute [cosine]: cos(s) = 8/17Jillian is making accessories for the soccer team. She uses 667.43 inches of fabric on headbands for 27 players and 4 coaches. She also uses 237.87 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
21.53 in of fabric on headbands
7.67 in of fabric on wristbands.
Step-by-step explanation:
Step one:
given data
the total amount of person players plus coaches= 27+4= 31
for each person, she uses = 667.43/31= 21.53 in of fabric on headbands
She also uses 237.87inches of fabric on wristbands for just the players
For each player, she will use= 237.87/31= 7.67 in of fabric
Hence for each player, she used
21.53 in of fabric on headbands
7.67 in of fabric on wristbands
Last year, Nancy bought a mountain bike for $570. Her bike has depreciated since she bought it. It is now worth $410. What percent did the value of Nancy’s bike depreciate over the past year? Round the the nearest whole percent.
Pls help I put a pic of problem
Answer:
a
Step-by-step explanation:
The graph below represents one function, and the table represents a different function. How are the functions similar? How are they different?
Answer:
Step-by-step explanation:
they both go thur the point (0,-4) so they both have the same b in the slope intercept from of y =mx +b
but.. they have a different slope... m , the graph has a slope m of 4/3 while the table has a slope of 1 , both positive.. :)
The equation given by the graph is y = (4/3)x - 4 while the table is y = x - 4. Both equation have a y intercept of -4.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
From the graph, using the point (3, 0) and (0, -4):
y - 0 = [(-4 - 0)/ (0 - 3)](x - 3)
y = (4/3)x - 4
From the table using (0, -4) and (2, -2):
y - (-4) = [(-2-(-4))/(2-0)](x - 0)
y = x - 4
The equation given by the graph is y = (4/3)x - 4 while the table is y = x - 4. Both equation have a y intercept of -4.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ2
You have 3/5gallon of juice and drink 1/3 gallons how much is left
Answer:
4/15 gallons of juice
Step-by-step explanation:
Total gallon you have = 3/5gallons
Amount consumed = 1/3 gallons
Amount left = Total gallons + Amount consumed
Amount left = 3/5-1/3
Find the LCM
amount left = (3)(3)-5(1)/15
Amount left = (9-5)/15
Amount left = 4/15
Hence 4/15 gallons of juice is left
what time does the clock shows?
Answer:
Any from 1 to 12
Step-by-step explanation:
Answer:
7:08
Step-by-step explanation:
What is the exact value of tan ( 5 pi/8 )
===================================================
Explanation:
Make sure your calculator is in radian mode. Use your calculator to find that tan(5pi/8) = -2.41421 which is approximate.
Since the value is negative, this means the answer is between choices C and D. You can use your calculator to compute those expressions given and you should find it matches with choice D.
----------------------
Further explanation:
We can apply the half angle identity for tangent like so
[tex]\tan\left(\frac{x}{2}\right) = \pm \sqrt{\frac{1-\cos(x)}{1+\cos(x)}}\\\\\\\tan\left(\frac{5\pi/4}{2}\right) = -\sqrt{\frac{1-\cos(5\pi/4)}{1+\cos(5\pi/4)}}\\\\\\\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{1-\left(-\frac{\sqrt{2}}{2}\right)}{1+\left(-\frac{\sqrt{2}}{2}\right)}}\\\\\\[/tex]
Simplifying further, we get
[tex]\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{1+\frac{\sqrt{2}}{2}}{1-\frac{\sqrt{2}}{2}}}\\\\\\\tan\left(\frac{5\pi}{8}\right) = -\sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}\\\\\\[/tex]
In the last step, I multiplied top and bottom of the outer fraction by 2 to clear out the denominators of the inner fractions.
Answer:
Answer D
Step-by-step explanation:
on edge 2023
3/4 divided by 1/5
Please answer soon
Answer:
15
Step-by-step explanation:
im in algebra two so you can trust my answer. happy holidays and stay safe!
solve this and explain it to me please
it's weird my brother And I am fighting for this my brother says it's p but I think it's P-Q
Answer: U - (P - P∩Q)
Where U represents the universal set.
Step-by-step explanation:
In the image, we can see that the shaded part is all the region minus the part of P that does not share elements with Q.
This part of P can be written as:
P - P∩Q
there we write:
"The elements of P, minus the elements that P share in common with Q"
Then to write the shaded area, we need to write the universal set, U, minus the thing we wrote above, this is:
U - (P - P∩Q)