Answer:
2p(2+3q)
Step-by-step explanation:
Find the Greatest Common Factor (GCF).
GCF = 2p2p
Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2p(4p/2p + 6qp/2p)
simplify each term in parentheses.
2p(2+3q)
Your answer is 2p(2 + 3q).
First we can start by finding common factors in the coefficients, 4 and 6. 4 and 6 are both divisible by 2, so we can pull this out as our first factor:
2(2p + 3pq)
Now we can look for common factors regarding p and q. Both terms include p, but only one includes q, which means we can also pull the p out as another factor:
2p(2 + 3q)
The expression inside the parentheses cannot be factored anymore, so this is the final factorisation.
I hope this helps!
What do birds such as eagles and hawks need energy for?
A) flying
B) breathing
C) digesting food
D) all of the above
Birds need energy for flying, breathing, and digesting food. Because of their high metabolism and active lifestyles, all of these processes are crucial for their survival and require substantial energy.
Explanation:Birds such as eagles and hawks need energy for a variety of activities essential to their survival. The correct answer to what they need energy for is D) all of the above.
These activities include flying, which is a highly energy-intensive activity requiring strong and efficient flight muscles; breathing, because birds have a unique respiratory system adapted for high levels of oxygen intake to support their active metabolisms; and digesting food, since birds have higher metabolic rates than humans, they need to digest their food quickly and eat often to maintain their energy levels.
The digestive process itself also consumes energy as nutrients from food are transformed into usable energy through biochemical reactions.
Final answer:
Eagles and hawks need energy for flying, breathing, and digesting food. Flying requires significant amounts of oxygen and energy due to the bird's efficient but energy-demanding flight muscles. Breathing and digestion are also energy-consuming processes that support the bird's active metabolism and need for frequent food intake.
Explanation:
Eagles, hawks, and other birds require energy for several key activities which are essential for their survival. The energy needs of birds like eagles and hawks encompass flying, breathing, and digesting food. Flying is an activity that demands a great deal of energy since birds need to be light to fly and have powerful flight muscles, making their digestive systems more rapid compared to humans.
Breathing is another crucial activity where birds have adapted a highly efficient respiratory system that enables them to take in the necessary oxygen to support their high metabolic rates. This is especially important because flying consumes a tremendous amount of energy, and birds need to eat often to maintain energy levels due to their quick digestion.
Lastly, digesting food also requires energy, as digestion is the process of breaking down food and transforming nutrients into energy through a series of biochemical reactions. Because birds digest their food quickly, they need to eat greater amounts of food more frequently to meet their high energy demands, which are raised even higher because birds have smaller surfaces to lose heat than humans.
What are the intercepts of the graphed function?
x- intercept = (-1,0)
y- intercept = (-3,0)
x- intercept = (0,1)
y- intercept = (0,-3)
x- intercept = (0,-1)
y- intercept = (-3,0)
x- intercept = (-1,0)
y- intercept = (0,-3)
Answer:
x-intercept = (-1,0)
y-intercept = (0,-3)
Step-by-step explanation:
The intercepts of a function are points where the graph intersects the x-axis or y-axis. The valid x-intercepts from the provided list are (-1,0) and (0,-1), and the valid y-intercepts are (-3,0) and (0,-3). The points (0,-1) and (0,-3) serve both as an x and y-intercept.
Explanation:The intercepts of a graphed function are the points at which the graph intersects the x-axis or the y-axis. These are key in understanding the behaviour of a function.
The x-intercept is the point where the graph cuts the x-axis and has a coordinate in the form (a, 0), where 'a' is a real number. In your list of intercepts, the valid x-intercepts are (-1,0) and (0,-1). Noting that (0,-1) is a special case where it also serves as a y-intercept.
In contrast, the y-intercept is the point where the graph intersects the y-axis. It has a coordinate in the form (0, b), where 'b' is a real number. From your list, the valid y-intercepts are (-3,0) and (0,-3). Similarly to the above, (0,-3) is a special case where it also serves as an x-intercept.
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Find the next three terms of the sequence
6,12,18,24,
|BRAINLIEST|
Aisha divides 1/5 meter of ribbon into 2 equal pieces. What is the length of each piece of ribbon? Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:
24
Step-by-step explanation:
Answer:
1/10
Step-by-step explanation:
1/5 divided by 2 = 1/5 * 1/2
We have to flip 2/1 around, so you get 1/2
So 5*2=10
The answer is 1/10
Hope this is helpful :3
Find a polynomial P(x) with the zeros x=2, −(2), √3, −√3
Answer:
P(x) = [tex]x^{4}[/tex] - 7x² + 12
Step-by-step explanation:
Given zeros x = 2, x = - 2, x = [tex]\sqrt{3}[/tex], x = - [tex]\sqrt{3}[/tex]
Then the factors are (x - 2), (x + 2), (x - [tex]\sqrt{3}[/tex] ), (x + [tex]\sqrt{3}[/tex] )
and the polynomial is the product of the factors, that is
P(x) = (x - 2)(x + 2)(x - [tex]\sqrt{3}[/tex] )(x + [tex]\sqrt{3}[/tex] ) ← expand in pairs using FOIL
= (x² - 4)(x² - 3) ← distribute
= [tex]x^{4}[/tex] - 3x² - 4x² + 12 ← collect like terms
= [tex]x^{4}[/tex] - 7x² + 12
a location in space represented by a dot is called
Answer:
Point
Step-by-step explanation:
A point specific location or place, seen as a spatial position, it is represented by a dot.
i need help!!!!!!!!!!!!!!!
Answer:
5m = 3890
Step-by-step explanation:
On your own paper, graph the coordinates of quadrilateral ABCD.
● A(-3, 0)
● B(2, 4)
● C(6, -1)
● D(1, -5)
A) Identify what type of quadrilateral ABCD will be and give an explanation of your response. You must also justify it algebraically by showing your work to support your response.
B) What is the perimeter and area of quadrilateral ABCD?
Answer:
A) Square
B) Perimeter: 4sqrt(41) units
Area: 41 units²
Step-by-step explanation:
AB and CD are parallel because both have the same gradient:
AB: (-3-2)/(0-4) = 5/4
CD: (6-1)/(-1--5) = 5/4
AD and BC are parallel because both have the same gradient:
AD: (-3-1)/(0--5) = -4/5
BC: (6-2)/(-1-4) = -4/5
Since (5/4) × (-4/5) = -1
All angles are 90 (Perpendicular)
Lengths
CD = AB = sqrt[(-3-2)²+(0-4)²] = sqrt(41)
BC = AD = sqrt[(6-2)²+(-1-4)²] = sqrt(41)
Therefore all sides are equal in length
Hence it's a square
Perimeter = 4s = 4sqrt(41) units
Area = s² = [sqrt(41)]² = 41 units²
Bryna has $300 to open a checking account. She wants an account with the least amount of fees. She does not plan on using an ATM and her employer offers direct deposit.
Answer:
its c
Step-by-step explanation:
hope i helped :]
Answer:
answers c
Step-by-step explanation:
because i took the test
What is the equation of a line that contains the points (5,0) and (5,-2)?
X=5
x=0
y=0
y=5
Answer:
x = 0
Step-by-step explanation:
If you do the equation y2 - y1 over x2 - x1 you get 0 and the x intercept is 5 y=0×5 = 0
write the equation of a Line In slope-intercept form with the Y intercept at the origin and a slope of 2
Slope Intercept Form: y = mx + b
Slope: 2
Y-Intercept: 0
Therefore, the slope intercept form of the given values would look like this:
y = 2x + 0 or just y = 2x
Have a great day!
Answer:
y=2x+0
Step-by-step explanation:
y=mx+b, your slope (m) is 2 and your y intercept (b) is 0, so just plug it in
Peter needs to wash 20 plates, 30 pieces of silverware, and 10 cups. Then he
needs to dry them all. How many items will he touch, if he touches each of them
twice, once to wash and once to dry?
dishes were touched
Answer:
120
Step-by-step explanation:
Answer:
120 times
Step-by-step explanation:
20 + 30 + 10 = 60
60 * 2 = 120
y=25x+35
Describe what this graph would look like. Where would it start? How would the slope be counted out?
Answer:
The equation is in the form y=mx+b, where m=slope, b=y-intercept.
The y-intercept is 35: so the line goes through the y-axis at (0,35).
The slope is 25: so we need to count out the slope as rise over run, or 25 up and 1 to the right, starting from the y-intercept.
On a survey, 3 out of every 8 band members prefer listening to jazz music.
Based on the survey, how many out of 240 band members would prefer listening to jazz music?
A. 65
B. 90
c. 144
d. 175
Answer:
B.) 90
Step-by-step explanation:
Since the ratio is 3:8, the fraction would look something like the following.:
[tex]\frac{3}{8} =\frac{?}{240}[/tex]
We know that there are 240 band members in this scenario. What do you multiply 8 by to get 240? 30.
[tex]\frac{3*30}{8*30} =\frac{90}{240}[/tex]
To solve the problem, we set up a proportion, 3/8 = x/240. Solving for 'x', we find that 90 out of 240 band members would prefer listening to jazz music, so the correct answer is B (90).
Explanation:This problem concerns proportions. In the survey, it is stated that 3 out of 8 band members preferred listening to jazz. To find out how many out of 240 would prefer jazz, we set up and solve a proportion. Our proportion is 3/8 = x/240, where 'x' is the number of band members we need to find.
To solve for 'x', we cross-multiply 3*240 = 8x. This gives 720 = 8x. Then divide by 8, and we get x = 90. So, 90 out of 240 band members would prefer listening to jazz music.
Therefore, option B (90) is correct.
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If you flip a coin and roll a 6-sided die, what is the probability that you will flipa heads and roll a 2
Answer:
The Probabilty that you will flip a heads is 50% and the Probabilty that you will roll a 2 is 16.
Step-by-step explanation:
A coin has 2 sides Heads and Tails, so it's 50-50.
A coin has 6 sides.
100/6=16%
Re-write the equation after you distribute
and combine all the like terms.
12-4(-3x+5)-8x=20
Look at the attached picture ⤴
Hope it will help u...
Which triangle can be solved using the law of sines?
The triangle C can be solved using the law of sines.
What is the law of sines?
'The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.'
According to the given problem,
We know,
Law of sines = [tex]\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}[/tex]
In triangle C,
Third angle = 180 - ( 70 + 30 )
= 180 - 100
= 80°
⇒ [tex]\frac{10}{sin30 }= \frac{b}{sin70} =\frac{c}{sin80}[/tex]
⇒ [tex]\frac{10}{sin30}= \frac{b}{sin70}[/tex]
⇒ 20 × 0.9396 = b
⇒ b = 18.8 m
⇒ [tex]\frac{10}{sin30}=\frac{c}{sin80}[/tex]
⇒ 20 × 0.9848 = c
⇒ c = 19.7 m
Hence, we can conclude that tringle C can be solved using the law of sines.
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Answer:
D: The fourth one
Step-by-step explanation:
The Law of Sines can be used to solve for the missing lengths or angle measurements in an oblique triangle. An oblique triangle is a triangle where two of the angles and one of the sides are known.
easy 6th-grade math question
Answer:
The answer has to be 4
Step-by-step explanation:
x is greater than 1/4
In trapezoid $WXYZ$, $\overline{XY} \parallel \overline{WZ}$, $\angle WXZ = 105^\circ$, $\angle W = 43^\circ$, and $\angle Y = 141^\circ$. Find $\angle YXZ$, in degrees.
Answer:
32 degrees
Step-by-step explanation:
The diagram of the problem is drawn and attached.
In Triangle WXZ
105+43+[tex]\angle WZX[/tex]=180 (Sum of Angles in a Triangle)
148+[tex]\angle WZX[/tex]=180
[tex]\angle WZX[/tex]=180-148
[tex]\angle WZX[/tex]=32 degrees
Since |XY|//|WZ| (parallel to)
[tex]\angle WZX[/tex]=[tex]\angle YXZ[/tex] (Alternate Angles)
Therefore:
[tex]\angle YXZ[/tex]=32 degrees
Problemas completed 1/3
Problem: PRABABFV
4. Rocky the collie ate 3 cups of dog food each day for two weeks. How much dog food did Rocky eat in
that time?
Answer:
42 cups of dog food.
Step-by-step explanation:
Rocky ate 3 cups of dog food each day for two weeks, there's 7 days in a week, if you multiply 14 ( number of days in 2 weeks) and 3( the number of dog food each day) you would get 42 because 7 days are in 1 weeks and if you add another 7 days, you would get 14 days and by multiplying that by 3, the dog food Rocky ate each day, you would get 42, the answer to your question. Hope this answers your question!
Order each set of integers from greatest to least
(8, 43, -25, 12, -14, 3)
(-8, 32, 55, -32, -19, -3)
(-100, -89, -124, -69, -52)
(6, 17, -20, -19, 26)
The ordered sets are: (43, 12, 8, 3, -14, -25), (55, 32, -3, -8, -19, -32), (-52, -69, -89, -100, -124), and (26, 17, 6, -19, -20).
To order each set of integers from greatest to least, we start by identifying the largest integer in each set and then follow with the next largest until we reach the smallest integer. Let's order the provided sets one by one:
For the set (8, 43, -25, 12, -14, 3), the order from greatest to least is: 43, 12, 8, 3, -14, -25.
The set (-8, 32, 55, -32, -19, -3) ordered from greatest to least is: 55, 32, -3, -8, -19, -32.
Ordering the set (-100, -89, -124, -69, -52) from greatest to least gives us: -52, -69, -89, -100, -124.
Finally, the set (6, 17, -20, -19, 26) ordered from greatest to least is: 26, 17, 6, -19, -20.
By comparing the positive and negative integers, we determine their placement in the sequence from greatest to smallest.
Determine the graph foci and asymptote equation of x^2/4-y^2=1
Answer:
B)
Foci: ((sqrt5),0),((-sqrt5),0)
Asymptotes: y=((1/2)x), y=((-1/2)x)
Step-by-step explanation:
Same rule with x before y as I mentioned in the other problem to identify the graph.
Answer: A. (THE FIRST GRAPH)
here's ss so you can see that it's correct + the top two graphs that were cut off in the question :)
Brandon is pulling a desk to the right with a force of 26.00 N. The force of friction to the left is 3.00 N.
a. Calculate the net force:
b. If the desk accelerates at 2.0 m/s2, find the mass of the desk.
Step-by-step explanation:
first and foremost start off with a proper FBD (I drew in the forces and acceleration just to refer back to it quicker, assume right and up are positive)
a) F net = Forces aiding the movement - forces opposing
if the box is sliding to the right then we've got
Fnet = 26 + (-3)
[notice how I wrote that they're both being added because they're vector forces]
Fnet = 23 N
b) using Newton's second law of motion, F = ma, we can find the mass
Fnet = ma
rearrange for mass
M = Fnet/a
M = 23 N / 2.0 ms^-2
M = 11.5 Kg
The net force is 23.00 N to the right. The mass of the desk is 11.5 kg.
Explanation:a. Calculate the net force:
The net force is the vector sum of all the forces acting on an object. In this case, the force of Brandon pulling the desk to the right is 26.00 N, and the force of friction to the left is 3.00 N. Since the friction force is in the opposite direction of the pulling force, we subtract it. Therefore, the net force is 26.00 N - 3.00 N = 23.00 N to the right.
b. If the desk accelerates at 2.0 m/s2, find the mass of the desk:
The equation for calculating the net force on an object is F = ma, where F is the net force, m is the mass, and a is the acceleration. Rearranging the equation to solve for mass, we have m = F/a. Plugging in the values, mass = 23.00 N / 2.0 m/s2 = 11.5 kg.
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The circle at the right represents a planet. The radius of the planet is about 6300 km. Find the distance d to the horizon that a person can see on a clear day from the following height h above the planet.
h=4 km
Answer:
224.54 km
Step-by-step explanation:
A right triangle is formed, where h + r = 4 + 6300 = 6304 km is the hypotenuse, r = 6300 km is one leg and d is the other leg. By Pythagorean theorem:
6304² = 6300² + d²
d² = 6304² - 6300²
d = √50416
d = 224.54 km
Answer: 221.8
Step-by-step explanation: Because I followed the one below and it was wrong
Kevin went to see his favorite sport team play. His car can go 400 miles on one tank of gas. If he used 30% of a full tank of gas, how many
miles did he travel?
Answer:
400 x 0.3 = 120 miles
120 miles would be your answer
Step-by-step explanation:
Answer:
He traveled 120 miles
Step-by-step explanation:
400/10=40
40x3=120
so if 10% of 400 is 40, then 30% is 120
By what percent will the product of two numbers decrease if one of them is decreased by 20% and the other is decreased by 60%?
Answer:
We have:
P1 = a x b
If a decreases by 20% and b decreases by 60%, then we have:
P2 = a x (100 - 20)/100 x b x (100 - 60)/100
= a x 80/100 x b x 40/100
= a x b x 8/25
=> P1 - P2 = ab - (8/25)ab = (17/25)ab
=> If a decreases by 20% and b decreases by 60%, product of a and b would decrease 17/25 = 0.68%
Hope this helps!
:)
Answer:
68
Step-by-step explanation:
RSM again
The parallelogram shown below has an area of 140 units^2. The base is twelve and the side is 10 help this is so hard.
Answer:
height = 11.67 units
Step-by-step explanation:
A parallelogram is a quadrilateral with 2 pairs of parallel sides. This means opposites sides are parallel to each other. Opposite angles and sides are congruent.
From your question the base of the parallelogram is given as 12 units and the sides is 10 units. The area of the parallelogram is given as 140 units². What is left is the height of the parallelogram.
Using the formula for finding the area of a parallelogram, the height can be found.
area of a parallelogram = base × height
base = 12 units
height = ?
area = 140 unit²
area of a parallelogram = base × height
let
h = height
140 = 12h
divide both sides by 12
h = 140/12
h = 11.6666666667 units
height = 11.67 units
A spinner is spun four times. What is the probability that the spinner lands on 2 each time?
Answer:
1/2
Step-by-step explanation:
multiply 4 times 7/8 and then add 12
Answer: Its egual to 4
Step-by-step explanation: 5times 8 over 10 =4o divide is by 10
10 divide it by 10
=4
Need help with this one
Answer:
10
Step-by-step explanation:
2 times 5 is 10
Answer:
part A: 1/2
Step-by-step explanation:
1/2 + 1/2 = 2/2 or 1 whole