Answer:
[tex](a)\ \frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex] --- expanded form
[tex](b)\ \frac{6^7}{6^4} = 6*6*6[/tex] --- Divide common factor
(c) The exponent of the simplified power is 3
Step-by-step explanation:
The original question is:
[tex]\frac{6^7}{6^4}[/tex]
Required
- Express the exponents in expanded form
- Divide common factors
We have:
[tex]\frac{6^7}{6^4}[/tex]
In indices:
[tex]x^2 = x * x[/tex]
So, the above expression becomes:
[tex]\frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex]
Divide the common factors, to give:
[tex]\frac{6^7}{6^4} = 6*6*6[/tex]
Express as an exponent
In indices;
[tex]x * x * x = x^3[/tex]
So, we have:
[tex]\frac{6^7}{6^4} = 6^3[/tex]
The simplified power is [tex]6^3[/tex] and 3 is the exponent
If a point is randomly chosen on the square shown, what is the probability that it will be in the red section?
A)
AA
B
)
WP
M
D)
Pa
Explanation: There are four equal sections, one of which is red. So the probability of landing in the red space is 1/4.
What is the domain of the function shown in the graph?
Que valor en la ecuacion 3(x - 2) =7x+n tiene la solucion x=0
A. n = -6
B. n = -4
C. n = 3
D. n = 7
Answer: A. -6=n
Step-by-step explanation:
3(x - 2) =7x+n
3x-6=7x+n
-6=4x+n
-6=4(0)+n
-6=n
I need help ASAP how do I do this
Please help i know this is kind of easy but I am having a hard time with it unfortunately
Answer:
C
Step-by-step explanation:
y= 60(2)+10
y=130
y=65(2)
y=130
the staff has a meeting every morning.how long do they spend on meetings in a fortnight?
Answer:
isn't a fortnight 14?
Step-by-step explanation:
The value of y is directly proportional to the value of x. If y = 35 when x = 140, what is the value of y when x = 70?
Answer:
17.5
Step-by-step explanation:
y=kx
35 = k(140)
k = 0.25
(k is constant of proportionality)
y = (0.25)(70)
y=17.5
Find the perimeter of the figure. Round all figures to the nearest hundredths place.
Isosceles trapezoid
A 70.24 ft
B 74.48 ft
C 79.42 ft
D 92.84 ft
Answer:92.84
Step-by-step explanation: 39+27+13.5+13.5 because the two sides are longer than 12
The perimeter of the trapezium is 143.94 ft.
We have,
The perimeter of an isosceles trapezium can be found by adding the lengths of all four sides.
In this case, the trapezium has height = 12 ft and parallel sides of length 27 ft and 39 ft.
To find the length of the non-parallel sides we can use the Pythagorean theorem:
a² = (39 - 27/2)² + 12²
a² = 1440
a ≈ 37.95 ft
Therefore,
The perimeter of the trapezium is:
P = 27 + 39 + 2a
P ≈ 27 + 39 + 2(37.95)
P ≈ 143.9 ft
Rounding to the nearest hundredth place,
we get P ≈ 143.94 ft.
Thus,
The perimeter of the trapezium is 143.94 ft.
Learn more about trapezium here:
https://brainly.com/question/22607187
#SPJ7
What is 1\10 x 1.2 >>>>>>>>>>>>>>>>>>>>>>>>
Answer:
1/10 x 1.2 is 0.12
Step-by-step explanation:
so yeeeeeeee
find the area of the triangle below!!!
Answer:
[tex]104in^{2}[/tex]
Step-by-step explanation:
area of a triangle is just (b)(h)/2
(13)(16)/2
208/2
104 in squared
Answer:
104ft²
Step-by-step explanation:
formula for area of a triangle = [tex]A=\frac{bh}{2}[/tex]
where b = base length and h = height
The triangle shown has a base length of 16 ft and a height of 13 ft
Using this information we plug in the values into the formula
[tex]A=\frac{16*13}{2}\\16*13=208\\\frac{208}{2} =104\\A=104ft^2[/tex]
Hence, the answer is 104ft²
35 POINTS AND BRAINLIEST SHOW ALL WORK
9-2x=35 THANK YOUUU
Answer:
x = -13
Step-by-step explanation:
Step 1: Rearrange terms
9-2x=35
-2x+9=35
Step 2: Subtract from both sides of the equation
-2x+9-9=35-9
Step 3: Simplify
-2x+0=26
-2x=26
Step 4: Divide both sides of the equation by the same term
-2x/-2 = 26/-2
Step 5: Simplify
x = 26/-2
x=-13
Joaquin has d more than three times the number of baseball cards as Sam. Sam has f baseball cards.
Answer:
3f + d or d +3f
A school is holding its annual book fair. The line plot below shows the amount of books students have bought
What is the experimental probability that a student will buy 3 books?
A.4/15
B.3/15
C.4/3
D.4/9
what is the total number of outcomes from selecting one sweatshirt from a choice of five sweatshirts and one pair of pants from a choice of four pants
Answer:
20
Step-by-step explanation:
4x5/20
can anyone help with these 4 questions?
Answer:
hablas español?? Si o no ?
Forty-four people paid $1.85 each for a hot dog at a vending cart in Altura Park. How many dollars did they pay combined?
Answer:
They paid 81.4 all together.
Step-by-step explanation:
Multiply 44 times 1.85 as each person paid $1.85.
44*1.85=81.4
i cant figure out 8 to the power of 7 over 8 to the power of -2
Answer:
134217728
Step-by-step explanation:
Answer:
8⁹Step-by-step explanation:
8⁷ / 8⁻² = 8⁷⁻⁽⁻²⁾ = 8⁷⁺² =8⁹Which part of the human body is more complex, your heart or your circulatory system?
→heart is central to the circulatory system as it is the fist-sized pump that circulates the blood throughout the body.
The length of a rectangle is three times the width. The area is 108cm. Find the
dimensions of the rectangle.
the dimensions of the rectangle are 9 and 3
Step-by-step explanation:
108÷4=27 and 27 ÷3=9
here jwu4444 thank u so much
Answer:
0
Step-by-step explanation:
Answer:
you're welcome
glad to help!
Eduardo has a wooden dowel rod that is StartFraction 8 Over 15 EndFraction of a yard long that he needs to cut into 24 equal-length pieces. What is the length of each piece of dowel rod?
StartFraction 1 Over 60 EndFraction of a yard
StartFraction 1 Over 45 EndFraction of a yard
StartFraction 5 Over 64 EndFraction of a yard
StartFraction 5 Over 8 EndFraction of a yard
Answer:
StartFraction 1 Over 45 EndFraction of a yard
Step-by-step explanation:
Length of the wooden dowel rod = 8/15 of a yard
Number of pieces = 24
What is the length of each piece of dowel rod?
Length of each piece of dowel rod = Total length of wooden dowel rod / number of pieces
= 8/15 ÷ 24
= 8/15 × 1/24
= (8*1) / (15*24)
= 8/360
= 1/45
Length of each piece of dowel rod = 1/45 of a yard
Answer:
2nd one
Step-by-step explanation:
What is the Area of the triangle?
Answer:
Hello There!!
Step-by-step explanation:
I think it is the second option as you use the formula for finding out the area of a triangle which is b×h/2 so 18×6=108 then divide by 2 or half it which gets the answer of 54mi^2.
hope this helps,have a great day!!
~Pinky~
Answer:
54m^2
Step-by-step explanation:
Area of triangle is base * height /2
18*6/2
108/2
54
Nadia thinks of a number she finds the squre root and the divides it by 5 her answer is 20 what number is she thinking of
Answer:
10000
Step-by-step explanation:
Let the number = x
Square root of x divided by 5 equals 20
√x / 5 = 20
Using cross multiplication
√x = 20 * 5
√x = 100
Take the square of both sides
(√x)² = 100²
x = 10000
Therefore, the number is 10000
area and perimeter i need help with problems 2 & 3
Answer:
number 1:area is 30 , perimeter is 22
number 2:area is 450 perimeter is 29
Step-by-step explanation:
Answer:
1 = 30, 22. 2 = 45, 33.
Step-by-step explanation:
For step 1, multiply the numbers to get the area, then double them and add them all to get the perimeter.
For step 2, multiply the two sets of numbers, 5 and 3, and 6 and 5, and add them. For the perimeter do the same as step 1.
if EFGH is a trapezoid, find its perimeter.
Which activity at the grocery store would not involve mathematics?
A. choosing what kind of apple to buy
B. buying enough ingredients to double a recipe
C. finding out how much 1 item would cost when the price is 2 for $4.00
D. calculating the total cost of the items in your cart
Answer:
b
Step-by-step explanation:
"Both of us got to be just like Joe Louis toward the end" is an example of... *
metaphor
personification
alliteration
allusion
Solve. 4x + 3 = -13
A. x = -4
B. x = 4
C. x = 64
D. x = -64
Answer:
4x=-16
x=-4 is your answer
Answer:A) x = -4
Additive inverse -3 to both sides 4x=-16
The divide both sides by 4, x=-4
Step-by-step explanation:
This histogram shows the number of peanuts per bag of trail mix. Choose ALL statements about the data that are true? A) The most common range of peanuts per bag is 30-39. B) There are more bags with 10-19 peanuts than 40-49. C) The least common range of peanuts per bag is 10-19. D) The ranges with the same number of bags are 10-19 and 40-49. E) The ranges with the same number of bags are 20-29 and 50-59.
Answer:
A), C), E)
Step-by-step explanation:
Unit 11: Value & Surface Area
Homework 1: Area of planes Figure
Pls Help me with #11
Answer:
The area of the triangle is 351cm^2.
Step-by-step explanation:
To find the area of a triangle, the formula is (1/2) x base x height. In this case, the height would be a line that cuts straight through the center of the triangle. However, this height is not given to us. We can still find it through Pythagoras' Theorem though.
Let A be the tip of the triangle, and B and C be the points on either side of the triangle. Assuming an imaginary line that cuts the triangle in a symmetrical half, let T be the point at the end of the line, directly below point A.
Using Pythagoras' Theorem,
AB^2 = AT^2 + TB^2
AT^2 = AB^2 - TB^2
AT^2 = 30^2 - (26/2)^2
AT^2 = 30^2 - 13^2
AT =
[tex] \sqrt{ {30}^{2} - {13}^{2} } [/tex]
AT = 27.0370116692
So the length of AT is our height. We can now find the area of the triangle.
Area of triangle = (1/2) x 26cm x AT
Area of triangle = 351.4811516996
Area of triangle = 351cm^2 (To 3s.f.)