Answer:
False
The answer is 343 not 345
Step-by-step explanation:
7^5 / 7^2 =
16807 / 49 =343
Answer:
False.
7⁵ ÷ 7²
= 7⁽⁵⁻²⁾
= 7³
= 343
An electrician has the following lengths of cable:
21 inches, 39 inches, and 8 feet.
How much cable does he have in feet?
Answer:
13 feet of cable
Step-by-step explanation:
Convert 8 ft to inches (96 in)
96+39+21= 156
156/12= 13
Can I please get Help with this math problem please
Answer:
AB=16
BC=15
AC=12
PQ=12
QR=12
PR=19
Step-by-step explanation:
well you know that the perimeter is the sum of all sides
so we have
\((2x)+(2x+4)+(2x+3)=(2x)+(2x)+(3x+1)\\\\2x+2x+4+2x+3=2x+2x+3x+1\\\\(2x+2x+2x)+(4+3)=(2x+2x+3x)+(1)\\\\6x+7=7x+1\\\\6x+7-1=7x\\\\6x+6=7x\\\\6=7x-6x\\\\x=6\)
so the sides are:
\(AB=2x+4=2(6)+4=12+4=16\\\\AB=16\)
\(BC=2x+3=2x+4-1=16-1=15\\\\BC=15\)
\(AC=2x=2(6)=12\\\\AC=12\)
\(PQ=2x=12\\\\PQ=12\)
\(QR=2x=12\\\\QR=12\)
\(PR=3x+1=3(6)+1=18+1=19\\\\PR=19\)
So there you are.
The graph below shows the line y=[x]. If the line y=|x|*2 were graphed on the same grid, hc would it compare to the line shown in the graph below.
The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
How to identify the transformation?The functions for this problem are defined as follows:
Parent function: y = |x|.Transformed function: y = 2|x|.When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.
Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
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Enter your answer in the box. Round your final answer to the nearest degree. B 6cm, A 8cm, C
The measure of Angle C is approximately 26°.
A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.
The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.
Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.
In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).
Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),
we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)
Therefore, the measure of angle C is approximately 26°.
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what is the perimeter
Answer:
2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2
B is the correct answer.
no algebra pls thanks uv
Answer: z = 210
Step-by-step explanation: Let's assume the original price of the present was x dollars.
Amanda agreed to pay 30% of the original price, so her contribution was 0.3x dollars.
The remaining amount to be paid is (1 - 0.3)x = 0.7x dollars.
Gabriel agreed to pay 2/5 of the remaining amount, so he paid (2/5)(0.7x) = 0.28x dollars.
The balance amount to be paid by Daniel is (1 - 0.3 - 2/5)(x) = 0.42x dollars.
When the price increased by 25%, the new price became 1.25x dollars.
We can set up an equation based on Amanda's contribution and solve for x:
0.3x = 63
x = 210
Therefore, the original price of the present was $210.
If the radius of the circle below is 12 feet, find the area of the shaded region.
If the radius of the circle below is 12 feet is given then the area of the circle would be 452.16 ft square.
What is the area of the circle?The area of the circle is defined as the product of the pie and the square of the radius.
The area of the circle = \(\pi r^{2}\)
If the radius of the circle below is 12 feet is given then
The area of the circle = \(\pi r^{2}\)
\(\pi 12^{2} \\\\3.14 \times 144\\\\452.16\)
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Lena must choose a number between 67 and 113 that is a multiple of 4,6, and 8 .
96 is the smallest number that is a multiple of 4, 6, and 8 and is between 67 and 113.
Given that, Lena must choose a number between 67 and 113 that is a multiple of 4,6, and 8.
Start listing the multiples of 4 between 67 and 113, which are 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, and 108.
We can then narrow down the list by looking for the multiples of 6, which are 72, 78, 84, 90, 96, and 102, and the multiples of 8, which are 72, 80, 88, 96, 104, and 112.
Since 96 is the smallest number that is a multiple of 4, 6, and 8 and is between 67 and 113.
Therefore, 96 is the smallest number that is a multiple of 4, 6, and 8 and is between 67 and 113.
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Out of 8797 children of town, 6989 go to school. How many children do not go to school?
Subtract the number that do go from the total number of children:
8797 - 6989 = 1808
1,808 do not go to school
Area of Rectangles and Squares.
Please show the work, I need help
Here, I think I can help you out:
1. 21 ÷ 3
= 7
Therefore, the length is 7cm².
2. 35 ÷ 7
= 5cm²
- And so on. Simply divide the area by the length of the side given; you can answer up to question six using this strategy.
7. All sides of a square are the same length.
7 x 7
= 49cm²
9. 2 x 3.5
= 7m²
- The formula to find the area of a square/rectangle is length x width. Just multiply the given lengths for the answers :)
Step-by-step explanation:
Q.1 Solutions
1. Area of rectangle= L×B
21=L×3
21/3=L
7cm Answer
2. Area of square=S×S
35m²=S×7m
35/7=S
5=S
5m Answer
3. Area of rectangle= L×B
5%m²=L×½m
5/½=L
2.5=L
2.5m Answer
4. Area of square= S×S
120mm²=S×10mm
120/10=S
12=S
12mm Answer
5. Area of rectangle= L×B
7%m²=L×1%m
7/1=L
7=L
7m Answer
6. Area of square=S×S
15cm²=S×6cm
15/6=S
2.5=S
2.5cm Answer...
Q.2 Solutions
Note: you might be knowing the formulas so please understand this:
7.49cm
8.400cm
10.86cm
11.40m
12.244m
13.1600m
14.120cm
15.134m
hope it helps!!!!! :) :)
The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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help pls, will mark brainliest !!!
Answer:
The answer is A.
Step-by-step explanation:
A has a common vertex but the angles are not adjacent.
: )
Answer:
A
Step-by-step explanation:
Let S be the universal set, where:
S= {1, 2, 3,..., 18, 19, 20}
Let sets A and B be subsets of S, where:
Answer:
Step-by-step explanation:
Therefore, the height of the tower is approximately 121.4 meters.
4. Avi thinks about how clock fractions can be used for division. He thinks
about what fractions correspond to 45 minutes and 15 minutes on a clock.
What is 45+ 15? Write the corresponding fractions and their quotient. Write
the fractions and quotients corresponding to the other times given below in
minutes. Explain how you divide fractions.
45 ÷ 15 =
60 ÷ 30 =
20 + 40 =
3
Hy
30 ÷ 10 =
3
15320
11
||
which statement is false:
STATEMENT 1: All rational numbers are whole numbers.
STATEMENT 2: All whole numbers are rational numbers.
Answer: Statement 1 is false.
Step-by-step explanation: 1 is false because all natural numbers, whole numbers, and integers are rationals.
Consider the system of equations.
3x + 2y = 16,
x+y=4
Which numerical values could you multiply the second
equation by to eliminate a variable? Select all that
apply.
02
D-2
3
-3
00000
Answer:
Step-by-step explanation:
i
have
no
idea
and
i need
help
if anyone
knows
the
answer
pls
tell
me
Find ex and Y to the quadrilateral is a parallelogram.
A contractor can by two types of wood. she got 45 expensive wood and 60 cheap wood for the same total price. if the 45 expensive wood cost $3.00 more than the 60 cheap wood, then which equation below shows the correct relationship between the 2 types of wood that she purchased. Also (x =price of the 60 cheap wood)
A.45(x+3)=60x
B.45(x-3)=60x
C.60(x-3)=45x
D.60(x+3)=45x
The correct equation is 45(x+3)=60x. Option A
How do you form an equation?We are told in the word problem that the contractor got 45 expensive wood and 60 cheap wood for the same total price and that the 45 expensive wood cost $3.00 more than the 60 cheap wood.
If x =price of the 60 cheap wood then we have that 45(x + 3) + 60x = total cost of the wood.
45x + 135 + 60x = total cost of the wood
105x + 135 = total cost of the wood
45(x + 3) + 60x = 105x + 135
Simplifying;
45(x + 3) = 60x
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Pls help!
Whoever answers in a few minutes with a clear answer will be marked brainiest!!!
Use exponent laws to write each expression with a positive power
Answer:
a. \(\tt \frac{1}{9}\)
b. \(\frac{1}{16}\)
c. 4
Step-by-step explanation:
\(\tt a. \:3^{-2}\)
We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:
\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)
\(\hrulefill\)
\(\tt b.\: -2^{-4}\)
We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:
\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)
\(\hrulefill\)
\(\tt c. \:(\frac{1}{2})^{-2}\)
We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:
\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)
Answer:
Step-by-step explanation:
(a) 3^-2 = 1/9
(b) (-2)^-4 = 1/(-2)^4 = 1/16
(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4
the lifespan of lions in a particular zoo are normally distributed. the average lion lives 10 years. the standard deviation is 1.4 years. use the empirical rule to estimate the probability of a lion living longer than 7.2 years
Answer:
the lion will only live 8.5 years
Step-by-step explanation:
Solve for y when 48/y = 12. Y=
The solution for y in the equation 48/y = 12 is y = 4 .
To solve for y in the equation 48/y = 12, we can multiply both sides of the equation by y to eliminate the denominator:
48/y * y = 12 * y
On the left side, the y in the denominator cancels out:
48 = 12 * y
Next, divide both sides of the equation by 12 to isolate y :
48/12 = y
Simplifying, we get:
4 = y
Therefore, the solution for y in the equation 48/y = 12 is y = 4 .
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Find the requested values below.
ADC =
X=
Submit Answer
Check the picture below.
\(3x+5=\cfrac{260-100}{2}\implies 6x+10=160\implies 6x=150 \\\\\\ x=\cfrac{150}{6}\implies x=25\hspace{9em}\stackrel{\measuredangle ABC}{3(25)+5}\implies 80^o\)
Dominique from "Dominique's Pizza" bakes p pizzas every day. Currently, it costs her $8 dollar sign, 8 per day to use the oven and $1.50 per pizza for the ingredients
Tomorrow, the price for the ingredients will increase from $1.50 per pizza to $2 per pizza. The oven costs will stay the same at $8 per day.
Dominique did some calculations and found that she should bake 8 more pizzas each day in order for the total expenses per pizza (including ingredient and shared oven costs) to remain the same.
Write an equation in terms of p to model the situation.
The equation in term of p that models the above experience is:
2p + 10 = 0.8p + 20.
What is an equation?
Any statement that models or captures the factors of a problem where in an equal sign is present to equate two of the factors or expressions therein is called an equation.
How do we form the above equation?Everyday pizza production is equal to p.Brick oven use fees are $10 per day.Ingredients for brick oven pizza cost $2 per pizza.$20 a day is the cost of using an electric oven.Pizzas baked in an electric oven cost $0.8 per pizza in ingredients.If an electric oven is used, the total cost of making a pizza falls by $1, including the cost of the ingredients.Total cost of baking p pizzas with brick oven = A = p(cost of one pizza) + cost of baking = p(2) + 10 (in dollars).
Total cost of baking p pizzas with electric oven = B = p(cost of one pizza) + cost of baking = p(0.8) + 20 (in dollars).
B = A - 1 (as using electric oven saves $1 per day, as given)
Thus, we get:
2p + 10 = 0.8p + 20
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y
4
Solve for y.
Then, find the side lengths of the
largest triangle.
Fill in the green blank.
8
X
2
+
2
8
y
y
[?]
X
Enter
Help
Skip
Answer:
y = 4\(\sqrt{5}\) , ? = 10
Step-by-step explanation:
using Pythagoras' identity on the smallest right triangle
x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )
x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)
using Pythagoras' identity on the middle right triangle
y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )
y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)
using Pythagoras' identity on the largest right triangle
?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100
Take square root of both sides
? = \(\sqrt{100}\) = 10
Plz someone help me on these 2 questions!! I'm desperate :)
Answer:
Step-by-step explanation:
7. The graph does not touch the x axis and never will
8. Horizontal asymptote is y=-100
What is the value of X using similarity?
Hello!
YH // YV
so Thalès !!
YA/YH = YB/YV
17/YH = 16/(16+22)
17/YH = 16/38
YH = 17 x 38 ÷ 16 = 40.375
YH = x = 40.375
So x = 40.375A rectangular prism has a width of x2 inches and a length of xy2 inches and a height of xy inches.
Which expression represents the volume of the rectangular prism in cubic inches?
2x^2y^2
2xy^3 + 2x^2y
2x^4y^3
x^3y^2
To construct a regular octagon, what measure would be necessary for each interior angle? Construct an angle of that measure.
Answer:
\(135^\circ\)
Step-by-step explanation:
Given that, a regular octagon is to be constructed.
To find:
Each angle in the octagon = ?
Solution:
We know that a regular triangle (polygon with 3 sides) has an interior angle of \(60^\circ\).
And a regular quadrilateral (square) has an interior angle of \(90^\circ\).
Therefore, formula for interior angle of a regular polygon with \(n\) number of sides can be given as:
\(\dfrac{n-2}{n}\times 180^\circ\)
For an octagon, we have \(n=8\).
Value of Interior angle in a regular octagon:
\(\dfrac{8-2}{8}\times 180^\circ=\dfrac{6}{8}\times 180^\circ=\bold{135^\circ}\)
Kindly refer to the attached image for the angle of \(135^\circ\)
What are the minimum and maximum values of x, for which x^3 + x^2 – 6x ≥ 0? minimum = –3, maximum = 0 minimum = 0, maximum = 2 minimum = –3, no maximum minimum = 2, no maximum
Answer:
i think C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
just got it correct
If ABCD is a parallelogram, m
Answer:
ABCD are the first 4 letters ina alphabet sooooo brooo wheres the parallelogram??
Step-by-step explanation: