Answer:
Step-by-step explanation:
1) [tex]5^{\frac{2}{3} }[/tex] is in exponential form.
Now, radical form is [tex]\sqrt[3]{5^{2} }[/tex]
2) [tex]5^{\frac{1}{2} }[/tex] is in exponential form.
Radical form is [tex]\sqrt{5}[/tex]
3) [tex]3^{\frac{2}{5} }[/tex] is in exponential form.
Radical form is [tex]\sqrt[5]{3^{2} }[/tex]
4) [tex]3^{\frac{5}{2} }[/tex] is in exponential form.
Radical form is [tex]\sqrt{3^{5} }[/tex]
If you need to ask any question, please let me know.I am stuck. The screenshot will explain
7. A value of n is substituted in each expression to get the number
in the box. Find each value of n.
a) 5n
30
b) 3n – 1 11
c) 4n + 7 15
d) 5n
11
e) 4 + on 40
f) 5 +1 5
---
Answer:
a. n=6
b. n = 4
c. n =2
d. n = 11 ÷ 5
e. n = 10
f. 20
Step-by-step explanation:
a. 5n = 30
n=30÷5
n=6
b. 3n-1 = 11
3n= 11 + 1
n = 12 ÷3
n=4
c. 4n + 7 = 15
4n = 15 - 7
n = 8 ÷ 4
n = 2
d. 5n = 11
n = 11 ÷ 5
e. 4 + n = 40
n = 40 - 4
n = 10
f. 5 + 15 = 20
Point P has coordinates (-2.5,3). Point Q is a reflection of point P across the x-axis. What are the coordinates of the point Q? Which quardrant is it in?
Answer:
Q = (-2.5, -3), quadrant 3
Step-by-step explanation:
Reflection across the x-axis changes the sign of the y-coordinate.
Q = (-2.5, -3)
With two negative coordinates, point Q is in Quadrant III.
_____
Additional comment
Point P has a negative x-coordinate and a positive y-coordinate, so is located northwest of the origin in Quadrant II. The quadrant that is southwest of the origin is Quadrant III, which is where points in Quadrant II are reflected to when they are reflected across the x-axis.
2. Write the congruence statement you are missing in order to prove the triangles are congruent for the given
reason.
A) In order to prove that these triangles are congruent by SAS, we need to have two sides of one triangle congruent to two sides of another triangle and an angle of one triangle (that’s included between the sides) is congruent to an angle of another triangle, the triangles are congruent.
We know that side OU is congruent to itself based on the reflexive property and we have a pair of right angles. However, we don’t know that sides MU is congruent to sides NU which would be our final step to prove these triangles are congruent by SAS.
So we are missing that sides MU and NU are congruent.
For part b, we have a pair of vertical angles which means they are congruent and <F and <S are congruent. For ASA, we need two angles and the included side of one triangle congruent to two angles and the included side of a second triangle.
We are not told that PQ and SQ have the same length, so this would be the information we would need to say these triangles are congruent by ASA.
Answer these questions
Answer:
y = 5
Step-by-step explanation:
first you subtract 5y from itself and from 7y
then you'll get: 2y + 2 < 12
then subtract the 2 from itself and from the 12
that will give you: 2y < 10
then just divide the 2 from itself and that eliminates the 2 but keeps the y, and divide the 10 by the 2
that'll give you y = 5
kelly has 47 model cars. Jamal has 58 model cars. Yesterday , jamal traded 8 model cars to kelly for 14 of her cars. How many cars did kelly have before the trade
Answer:
33 cars please give Brainliest
The speed of sound is approximately 720 miles per hour at sea level. At this rate, how many feet does it travel in 20 seconds? Use 1 mile=5280 feet.
Answer: 21120 feet.
Step-by-step explanation: We start with the fraction 1/180, found by putting 20 seconds over one hour. Then, we need to get the amount of miles the speed of sound travels in 20 seconds. We can use the fraction above as a ratio to get it. 720/1 x 1/180 = 4 miles. Then, we'll just do 4 times 5280, which is 21120.
The distance travelled by sound in 20 seconds is 21120 feet.
What is speed?In unit time the distance covered by any object is called speed.
In mathematical term, Speed is express as S=D/T,
where S=speed, D=distance, T= time.
Given that,
The speed of sound = 720 miles per hour.
According to given condition,
1 hour = 720 miles
Since, 1 hour = 60 minutes
60 minutes = 720 miles
1 minute = 12 miles.
1 minute = 60 seconds
60 second = 12 miles
1 second = 12 / 60 = 1/5 miles
20 second = 20 / 5 = 4 miles
According to given condition,
1 mile = 5280 feet
Therefore,
20 second = 5280 x 4 = 21120 feet
The distance travelled in 20 seconds is 21120 feet.
To know more on Speed on
https://brainly.com/question/4926312
#SPJ5
At the Lincoln County Animal Shelter, there are currently 6 dogs and 4 cats. Write the ratio of cats to dogs in simplest form as a fraction.
Answer:
2/3
Step-by-step explanation:
4 cats / 6 dogs = 2/3
simplify by dividing by 2
The diagram shows 5 triangles. All lengths are in centimetres. Which two triangles are congruent to each other
Answer:
It should be A & D
Step-by-step explanation:
These two are the only ones that have the exact same numbers on all three sides. They are congruent based on SSS.
x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120
Factor completely given the following factors: (x+5) and (x+3)
There should be 6 factors (2 given, 2 binomials, and 2 trinomials.)
show steps
Answer:
(x+3)(x+5)(x-2)(x-1)(x^2+2x+4)(x^2+x+1) where the given one is bolded the 2 binomials is italicized and the 2 trinomials is underlined
Step-by-step explanation:
Would you please help me solve for x it should be a degrees but I’m not sure what it is
Answer:
x=15º
Step-by-step explanation:
A triangle's angles add up to 180º.
∠A=30º
∠C=180º-45º
∠B=xº
To find ∠B we have to first find ∠C.
Since ∠C does not have an angle, knowing that a straight line is 180º we can subtract it from 45º to find ∠C.
180-45=135
∠C=135º
Now add ∠A and ∠C.
30+135=165
Subtract the sum from 180º
180-165=x
x=15º
Hope this helps :)
Given that a + b = 2 and that a + b2=6, prove that 2ab = -2. Find also the value of (a - b)?
math word problem: if jill takes a pill every 3 days and joe takes it every 4 for 65 days how many times will they take the pills together
Jill will have taken 21 in 65 days because 65 divided by 3 is 21.6666666667.
Joe will have taken 16 in 65 days because 65 divided by 4 is 16.25.
Arlington ISD needs to construct a handicap ramp for one of its new buildings under construction. One point on the construction blueprint for the ramp can be identified by the ordered pair (d, 4d), and another point on the ramp is identified by the ordered pair (3d, 5d). If d is not equal to zero, what will the slope of the handicap ramp be after construction is completed?
The slope of the handicap ramp is 1/2
The slope of the handicap ramp is gotten from the equation for the slope of a line, m with endpoints (x₁, y₁) and (x₂, y₂).
m = (y₂ - y₁)/(x₂ - x₁)
Since one point of the ramp can be identified by the ordered pair (d, 4d) and another point on the ramp is identified by the ordered pair (3d, 5d), we have that (x₁, y₁) = (d, 4d) and (x₂, y₂) = (3d, 5d).
Substituting the values of the variables into the equation, we have
m = (y₂ - y₁)/(x₂ - x₁)
m = (5d - 4d)/(3d - d)
m = d/2d
m = 1/2
So, the slope of the handicap ramp is 1/2
Learn more about slope of a line here:
https://brainly.com/question/1617757
Solve the system of equations using substitution.
X + y = 13
x - y = 5
Please help
Answer:
x=9
y=4
Step-by-step explanation:
A floor is covered by 800 tiles measuring 10cm^2. How many square tiles of side 8cm would be needed to cover the same floor
Answer:
125 square tiles
Step-by-step explanation:
(800*10)/8^2=8000/64=125
Please help me I need help with solving this equation worth 30 points
Answer:
1. -20
2. 27
3. 36
4. -200
What is the slope of the line shown in the graph?
Answer:
-3/2
Step-by-step explanation:
7x+20=7x+20
help asap
step by step please
Answer:
The given equation is true for all x.
Step-by-step explanation:
How to reduce decimals to fractions.
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
3 shirts for 9.99 2 pairs of shorts for 14.95 a bathing suit for 24.50 the sales tax was 7% how much did she spend in all ?
Answer:
If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:
brian says that 8n+2=82 when n=1 explain why he is incorrect
The table shows the decay rate for a certain radioactive material over time. In this context, what does the y-intercept represent?
At 100 hours, there are 0 grams of the substance remaining.
At 100 hours, there are 100 grams of the substance remaining.
At 0 hours, there are 100 grams of the substance remaining.
At 0 hours, there is 1 gram of the substance remaining.
Answer:
At 0 hours, there are 100 grams of the substance remaining.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
I just did it on ed
The sum of two numbers is 91 the difference of the two numbers is 67 what are the two numbers let x be the larger number and y be the smaller number
Answer:
x = 79
y = 12
Step-by-step explanation:
x + y = 91
x - y = 67
=> x = (91 + 67) : 2 = 79
=> y = (91 - 67) : 2 = 12
P/s: I don't know how to explain what I just did actually, since we learn how to solve this kind of problem in primary at my place already so it's like a blurry memory about how I learn it. If the math problem is to find 2 numbers, knowing their sum and the difference already, this is how to solve it:
=> Larger number: (Sum + difference) : 2
=> Smaller number: (Sum - difference) : 2
If you can memorize it, good for you! If not then it's alright, this is just a nice tips from me to you. You'll have more advantages in solving these kind of math problem if you can memorized these 2 formulas.
solve pls brainliest
Answer:
y = 13x
Step-by-step explanation:
Substitute 2 in x and you'll get 26:
y = 13•2
y = 26
please help me its easy
Answer: 31.6
Step-by-step explanation:
Answer the following problem using the SOLVE Method Math Club members are selling Math club members are selling Pi Day T-shirts for $7.50 each. The goal is to raise $500 by Friday. The figure below shows how much they have raised by Wednesday. What is the minimum number of T-shirts they must still sell in order to reach their goal? Explain your reasoning.
The minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Let x represent the number of Pi Day T-shirts sold.
They are selling Pi Day T-shirts for $7.50 each, So to raise $500:
7.5x > 500
Dividing through by 7.5:
7.5x / 7.5 > 500 / 7.5
x > 66.7
Hence, the minimum number of T-shirt that they must sell to raise $500 is 67 T-shirts
Find out more at: https://brainly.com/question/25285332
Find the missing dimensions: Use the scale factor 1/4:3
Answer:
The answer is 1/4!
Step-by-step explanation:
Solve for x.
45(x−310)=−214
Enter your answer as a mixed number in simplest form in the box.
x =
The solution to the given equation is x = [tex]305\frac{11}{45}[/tex].
The given equation is 45(x-310)=-214.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
By using distributive property, we get
45x-13950= -214
45x=-214+13950
45x=13736
x=13736/45
x=[tex]305\frac{11}{45}[/tex]
Therefore, the solution to the given equation is x = [tex]305\frac{11}{45}[/tex].
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ6
Each diagram shows △ABC and △DEF on the coordinate plane, with ∠A ≅ ∠E,
and ∠C ≅ ∠F. Identify whether the two triangles are congruent. If they are not
congruent, explain how you know. If they are congruent, find the length of each
side of each triangle.
Please help a brother out, I need this for a test.
Answer:
they are not congruent
Step-by-step explanation: