Answer:
(x - 10)(x + 10)
Step-by-step explanation:
x² - 100 is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
Thus
x² - 100
= x² - 10²
= (x - 10)(x + 10)
The expression x² - 100 can be factored using the difference of squares rule in algebra. The factors are (x - 10) and (x + 10).
Explanation:
The question asks for the factors of the polynomial expression x² – 100. This is a special kind of polynomial that can be factored using the difference of squares rule, a powerful tool in algebra which states that any expression in the form a² - b² can be rewritten as (a - b)(a + b).
In our case, a would be x (since x² is the first term) and b will be 10 (since 10² equals 100, the second term).
Applying the difference of squares rule to your expression, we get:
x² – 100 = (x - 10)(x + 10)
The factors of the expression are therefore x - 10 and x + 10.
Learn more about Factoring Polynomials here:https://brainly.com/question/28315959
#SPJ6
142% as a mixed numer in simplest form
Answer:
71/50 hope this helped
Step-by-step explanation:
Answer:
[tex]1\frac{21}{50}[/tex]
Step-by-step explanation:
[tex]142\% = \frac{142}{100} = 1\frac{42}{100} = 1\frac{21}{50}[/tex]
142% = 1.42
Activity
In the earlier Lesson Activity, you found the sizes of mesoplankton and jellyfish. In this activity, you'll determine the most appropriate units for.
measuring the sizes of mesoplankton and jellyfish.
Part A
Earlier, you found the size of a mesoplankton to be 2 x 102 meter. Do you think that meters are the most appropriate unit to represent the size
of a mesoplankton? If not, what do you think would be the most appropriate unit? Write the size of a mesoplankton in the most appropriate unit.
Answer:
No.
The most appropriate unit to measure the mesoplankton is centimeter.
The size is 2 cm.
Step-by-step explanation:
Earlier, you found the size of a mesoplankton to be [tex]2 \times 10^{-2}[/tex] meter.
I think that meters are not the most appropriate unit to represent the size of a mesoplankton.
The most appropriate unit to measure the mesoplankton is centimeter.
Now, 1 meter is equivalent to 100 centimeters.
So, the size of the mesoplankton in centimeter units will be [tex]2 \times 10^{-2} \times 100 = 2[/tex] cm. (Answer)
Final answer:
Meters are not the most appropriate unit for the size of a mesoplankton; millimeters are more suitable considering the small size of these organisms. The size 2 x 10² meters seems to be a typo and should likely be a much smaller value, such as 2 millimeters.
Explanation:
No, meters are not the most appropriate unit to represent the size of a mesoplankton. Considering that a mesoplankton is quite small, much smaller than objects like a piece of paper or a human's wingspan, using meters would not provide a practical or convenient measurement scale.
Since mesoplankton are small, it is important to think about units that are suitable for measuring very small objects. Given the metric units millimeters and centimeters are the next best alternatives. In this case, centimeters, being smaller than meters are a better match for the size of mesoplankton, but even centimeters might be too large.
Therefore, the most appropriate unit of measurement for the size of a mesoplankton is likely to be in millimeters. Therefore, 2 x 10^2 meters (200 meters) appears to be a typo, as mesoplankton would typically measure less than 2 centimeters. Assuming the intended measurement was supposed to be much smaller, converting to millimeters would be the best approach. An actual mesoplankton might measure around 2 millimeters, though this is just an example since the original measurement given seems incorrect.
^^^!!! 25 pOinTs (seriously help)
Answer:
A) Θ = 2A/r²
Step-by-step explanation:
A = Θr²/2
(Multiple both sides by 2)
2A = Θr²
(Divide both sides by r²)
2A/r² = Θ
(-2h3n2)(-5h2n2)
How
Answer: 9h x 8n^2
we rearrange this underneath the question (-5h-2h) (2nx3n)(2+2) or if 2^2 see explanation. It must therefore be 7h6n4
Step-by-step explanation:
if its ^2 )(power2) then the second reasonable answer is (7h-2h)(2n^2 x 2n^2)=9h x 4n^2 x4n^2 =9h 8n^2 or 17hn^2 but i leave as 9h 8n^2
You can expand only if multiplying 9hx4 for example but not combine the letters. The questions that ask you to mix are much different to this. but if you want to add them 9h+8n^2 =17hn^2
Which of the following coordinate points is the point of intersection of these two lines? y - 6x = -4 y - 2x = 8 Question 4 options: (−1/2, 7) (12/8,11) (9/6,5) (3, 14)
Option D: [tex](3,14)[/tex] is the point of intersection of the two lines.
Explanation:
The two equations are [tex]y-6 x=-4[/tex] and [tex]y-2 x=8[/tex]
We need to find the point of intersection of the two lines.
Thus, let us solve the equation by substitution method.
From the equation [tex]y-6 x=-4[/tex], we shall determine the value of y, by adding both sides of the equation by 6x.
Hence, we have, [tex]y=6x-4[/tex]
Now, substituting [tex]y=6x-4[/tex] in the equation [tex]y-2 x=8[/tex] , we get,
[tex]6x-4-2 x=8[/tex]
[tex]4x-4=8[/tex]
[tex]4x=12[/tex]
[tex]x=3[/tex]
Substituting [tex]x=3[/tex] in the equation [tex]y-6 x=-4[/tex], we get,
[tex]y-2 (3)=8[/tex]
[tex]y-6=8[/tex]
[tex]y=14[/tex]
Thus, the point of intersection of the two lines is [tex](3,14)[/tex]
Therefore, Option D is the correct answer.
What is the volume of the rectangular prism?
Answer:
144 ft cubed
Step-by-step explanation:
Multiply 576 by 1/4.
576 x 1/4 = 144
Answer:
[tex]9ft^{3} [/tex]
Step-by-step explanation:
If each cube has an edge length of 1/4;
[tex] \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{64} [/tex]
Each cube has a volume of 1/64 feet cubed. Now, multiply by 576.
[tex] \frac{1}{64} \times \frac{576}{1} = \frac{576}{64} [/tex]
[tex]576 \div 64 = 9[/tex]
The rectangular prism has a volume of 9 feet cubed.
Zara is six months into her first job, and she’s also attending community college. She is planning to start saving a portion of her paycheck and has created a monthly budget to track her spending. Which budget item should Zara reduce to increase her savings?
Answer:
B.Dining out
Step-by-step explanation:
I hope the below question is the full one that you want to ask
Select the correct answer. Zara is six months into her first job, and she’s also attending community college. She is planning to start saving a portion of her paycheck and has created a monthly budget to track her spending. Which budget item should Zara reduce to increase her savings? A. college tuition B. dining out C. rent D. utility bills
I think it is B: dinning out.
Because A C D are fixed cost, she could not adjust or change by herself. She can only save money when she cooks, do not need to go out for food.
In factored form, y = a (x - p) (x – q) we are able to see what important
point(s)?
[tex]y= a(x-p)(x-q)[/tex]
Answer:
The x-intercepts
[tex]y[/tex] can only be [tex]0[/tex], if either [tex]x=p[/tex], or [tex]x=q[/tex]...
so, the parabola must have the points [tex]\left(p,0\right)[/tex] and [tex]\left(q,0\right)[/tex]
Determine the common ratio and find the next three terms of the geometric sequence.
i, -1, -i, ...
a.
i; 1, i, -1
c.
-i; -1,- i, 1
b.
i; -1, -i, 1
d.
-i; 1, i, -1
Please select the best answer from the choices provided
A
B
C
D
Answer:A
Step-by-step explanation:
If Bart has 20$ and Andy took $19.65 how much does Bart have
Answer:
well bart has 20.00
andy took 19.65
Step-by-step explanation:
subtract [tex]20.00\\-19.65\\\\_______\\0.35[/tex]
your answer should be 0.35
Bart had $20, and Andy took $19.65. Bart will have $0.35 remaining.
Start with Bart's initial amount: $20
Subtract the amount Andy took:
$20 - $19.65 = $0.35
Therefore, Bart will have $0.35 remaining.
Formative exit ticket #2
Venus is approximately 67,000,000 miles from the Sun. Earth is approximately
26,000,000 miles from Venus. Approximately how many miles is Earth from the
Sun?
Answer:
92.768 million mi
Step-by-step explanation:
Answer:
Approximately 93 million.
Step-by-step explanation:
If Venus is 67 million miles from the sun, and Earth is 26 million miles from Venus, then you would need to add the distance from Earth to Venus to the distance from the sun to Venus
67,000,000 + 26,000,000 = 93,000,000
what is the volume of this sphere? use 3.14 for pi and round to the nearest hundredth when necessary.
diameter is 12 cm.
The volume of the sphere is 900 cm³
Step-by-step explanation:
Step 1: Given the diameter of the ball = 12 cm. Find radius.Radius = diameter/2 = 12/2 = 6cm
Use the formula for volume of a sphere to find the volume.Volume of the ball = 4/3 πr³
= 4/3 × 3.14 × (6)³
= 904.32 cm³ ≈ 900 cm³ (nearest hundredth)
How should the decimal point in 52.48 be moved to determine the product 52.48×105 ?
Answer:
5 spaces to the right because there are 5 terminating zeros in 10^5. This is because 10^5 = 100000, which has 5 terminating (ending) zeros.
Hope this helps.
Final answer:
To multiply 52.48 by 10⁵, move the decimal point five places to the right, resulting in a final product of 5248000.
Explanation:
To determine the product of 52.48×10⁵, you should move the decimal point in 52.48 a certain number of places to the right. Since we are multiplying by 105, which is the same as 10 to the power of five, we have five zeros after the 1 in 10 to the power of 5. Therefore, we move the decimal point five places to the right. Sometimes we may not have enough digits, and in such a case, we add zeros as placeholders.
Performing this movement with our number 52.48 gives us:
52.48 (original number)
524.8 (after moving 1 place)
5248 (after moving 2 places)
52480 (after moving 3 places)
524800 (after moving 4 places)
5248000 (after moving 5 places)
Therefore, the product of 52.48 and 10 to the power of 5 is 5248000.
Which system of equations below has exactly one solution? y = –8x – 6 and y = –8x + 6 y = –8x – 6 and One-halfy = –4x – 3 y = –8x – 6 and y = 8x – 6 y = –8x – 6 and –y = 8x + 6
Answer:
y = –8x – 6 and y = 8x – 6
Step-by-step explanation:
-8x - 6 = 8x - 6
16x = 0
x = 0
y = 8(0) - 6 = -6
The only solution is (0,-6)
Answer:
C is the answer
Step-by-step explanation:
what is the value of z?
Theo started to solve the quadratic equation
Answer:
[tex]x + 2 = \pm2[/tex]
Step-by-step explanation:
After Theo added to both sides of:
[tex] {(x + 2)}^{2} - 9 = - 5[/tex]
He got;
[tex]{(x + 2)}^{2} = 4[/tex]
Next he took the square root of both sides to get;
[tex]x + 2 = \pm \sqrt{4} [/tex]
When Theo simplifies, he will obtain:
[tex]x + 2 = \pm2[/tex]
Therefore the second option is correct.
A utility pole is supported by two wires, one on each side, going in the opposite direction. The two wires form a 75-degree angle at the utility pole. if the wires are 12 meters and 16 meters long and secured to the ground, find the distance between the wires on the ground.
(Cosines problem)
Answer:
The required distance is 17.34 meters.
Step-by-step explanation:
The lengths of the two wires are 12 meters and 16 meters. and the angle between the wires is 75°.
Now, we have to calculate the distance between the wires on the ground.
Therefore, we have to calculate the length of the side which is the opposite side of angle 75° of the triangle formed by the wires and the ground.
Applying the formula of properties of the triangle, if the length required is x, then
[tex]\cos 75^{\circ} = \frac{12^{2} + 16^{2} - x^{2}}{2 \times 12 \times 16}[/tex]
⇒ 99.38 = 144 + 256 - x²
⇒ x = 17.34 meters. (Answer)
Solve the equation. Then check your solution
Please select the best answer from the choices provided
Answer:
D. [tex]- \frac{13}{35}[/tex]
Step-by-step explanation:
[tex]\frac{4}{5} + x = \frac{3}{7} \\\\x = \frac{3}{7} - \frac{4}{5} \\\\x = \frac{15 - 28}{35} = -\frac{13}{35}[/tex]
Sarah has a bag of 50 skittles, some are red and some are yellow. Sarah randomly pulls a skittle out of the bag and records it, and returns it back to he bag.so far she has recorded 8 reds and 12 yellows.based on these results what is the MOST likely numbers of reds in the bag?
Answer:
20
Step-by-step explanation:
Assume n is the number of times she pick a skittle out of the bag
The probability she pick out red : 8/n
The probability she pick out yellow : 12/n
=> The ratio of red and yellow skittle : 8/n : 12/n = 8/12 = 2/3, means every 2 red skittles we have 3 yellow ones.
But we have 50 skittles, so the likely numbers of reds in the bag is = 2*[tex]\frac{50}{5}[/tex] = 20
Write the equation that describes the sequence 20, 28, 36, 44,...
Equation is a(n) = 12 + 8n
Step-by-step explanation:
Step 1: This is an Arithmetic Sequence with first term (a) = 20 and common difference (n) = 28 - 20 = 8. Find the equation using the expression for nth term.a(n) = a + (n -1)d
a(n) = 20 + (n - 1)8
= 20 + 8n - 8
= 12 + 8n
∴ Equation is a(n) = 12 + 8n
Answer:
12+8n
Step-by-step explanation:
This is sequence and series
Using the formula,a+(n-1)d
a means the first number
n means the number of progression
d means the difference
a=20
n=?
d=8
Apply the formula
=20+(n-1)8
=20+(8n-8)
=20+8n-8
=20-8+8n
=12+8n
The arithmetic equation is 12+8n
Heeelllllkkpppp meeee
Answer:
it is 2
Step-by-step explanation:
corona is a beer virus so drink lots of it
Answer:
y = 1/3 +2
Step-by-step explanation:
how to find area of polygon please explain
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothegm. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothegm = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
If you wouldn’t mind helping me I would greatly appreciate it. I’ve been having trouble on problems like this, and I have no one around to help, so I would be extremely grateful if you took the time out of your day to help me.
Andrea makes and sells anklets. She will discount the regular selling price of the anklets 60% this weekend. Which value is equivalent to this percent?
A. 3/5
B. 3/10
C. 6/8
D. 6/100
Solve for n
5n - 3 = 17
Answer: n=4
Step-by-step explanation:
1) add 3 to both sides: 5n=20
2) divide by five on both sides: 5n/5 and 20/5
3) answer n=4
Answer:
17+3=20
20/5 = 4
5(n)-3 + 17
5(4) - 3 = 17
20-3 = 17
n = 4
Step-by-step explanation:
What must be subtracted from a3b+6a2b2 -7ab+4 to get -7a2b2+2a3b+6ab-1?
[tex]-a^{3} b+13 a^{2} b^{2}-13 a b+5[/tex]
Step-by-step explanation:
Let x be the expression, we have to find must be subtracted from the given expression, to get the answer.
Now we have to combine the like terms, before that we have to move x from LHS to the RHS , so that we will get the required expression.
[tex]a^{2} b+6 a^{2} b^{2}-7 a b+4-x=-7 a^{2} b^{2}+2 a^{2} b+6 a b-1[/tex]
[tex]a^{3} b+6 a^{2} b^{2}-7 a b+4+7 a^{2} b^{2}-2 a^{3} b-6 a b+1=x[/tex]
Now arranging the like terms as,
[tex]\begin{array}{l}a^{3} b-2 a^{3} b+6 a^{2} b^{2}+7 a^{2} b^{2}-7 a b-6 a b+4+1=x \\-a^{3} b+13 a^{2} b^{2}-13 a b+5=x\end{array}[/tex]
So the expression is "[tex]-a^{3} b+13 a^{2} b^{2}-13 a b+5[/tex]"
The remainder of 3x^3 + 4x+ 5 / x + 3 is
Answer:
Step-by-step explanation:
is -7
PLS HURRY IN A TEST!!!
Based on the graph, which of the following statements are true? Select all that apply.
A. When Jonah babysits one hour, he earns $7.50.
B. Jonah earns $20 to babysit 5 hours.
C. The equation e = 4h can be used to describe this situation.
D. The number of hours Jonah works depends on how much he earns.
B. Jonah earns $20 to babysit 5 hours.
D. The number of hours Jonah works depends on how much he earns.
Hope this helps you!
plz give me brainliest :(
Here's some EZ Points
Answer:
ye thats cool
Step-by-step explanation:
i just did
Answer:
its the 3rd image
Step-by-step explanation:
What is 183 for 4 as a unite rate
Answer:
45.75
Step-by-step explanation:
183/4=45.75.
Answer:
=45.75
Step-by-step explanation:
This is a fraction equal to
183 ÷ 4
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 4
182
÷ 4
4
÷ 4
=
45.75/1
=
45.75
= 45.75
Polk Fitness sells gym passes in packs of 3. A competing gym, Benton Wellness, sells gym
passes in sets of 7. If both sold the same number of gym passes last month, what is the
smallest number of passes each could have sold?