A "size 7" shoe is about 1.4 x 10-¹ meters long. The circumference of the earth is about meters 1.06 x 10^7 around the equator. How many shoes, end-to-end, would it take to wrap around the equator? Show how you expanded and used the Giant One.
Number of shoes needed to wrap around the equator = 7.57 x10⁷
The length of a size 7 shoe = 1.4 x 10-¹ m
The circumference of the Earth around the equator = 1.06 x 10^7 m
We know that here, the circumference around the equator will be equal to the number of shoes times the length of each shoe.
So to find the number of shoes, we should divide the circumference of the Earth by the length of one shoe.
Hence, number of shoes end-to-end needed to wrap around the equator = 1.06 x 10⁷ / 1.4 x 10-¹
= 7.57 x10⁷
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9x+1-x^2
write in standard form
Answer:
−[tex]x^{2}[/tex] + 9x + 1
Step-by-step explanation:
What is
3² + √25 [2²(2² - 3)(5² - 4²) - 201]
Classify the angle as acute , obtuse , right , or straight
Answer:
1. straight
2. right
3. obtuse
4. acute
Step-by-step explanation:
Which expression is equivalent to quantity y raised to the negative third power times z raised to the fifth power end quantity over quantity z raised to the negative fourth power times y raised to the sixth power end quantity all raised to the negative second power?
Using exponent properties, the equivalent expression is:
[tex]\frac{y^{18}}{z^{18}}[/tex]
What is the equivalent expression?The original expression is:
[tex]\left[\frac{y^{-3}z^5}{z^{-4}y^6}\right]^{-2}[/tex]
When two terms that are divided have the same base and different exponents, we keep the base and subtract the exponents, hence:
[tex]\left[\frac{y^{-3}z^5}{z^{-4}y^6}\right]^{-2} = [y^{-3 - 6}z^{5 - (-4)}]^{-2} = [y^{-9}z^9]^{-2}[/tex]
The negative exponent at the numerator goes to the denominator, hence:
[tex][y^{-9}z^9]^{-2} = \left[\frac{z^9}{y^9}\right]^{-2}[/tex]
The negative outer exponent means that we have to exchange the numerator and denominator, hence:
[tex]\left[\frac{z^9}{y^9}\right]^{-2} = \left[\frac{y^9}{z^9}\right]^{2}[/tex]
Then both numerator and denominator exponents multiply by 2, hence the equivalent expression is:
[tex]\frac{y^{18}}{z^{18}}[/tex]
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Answer:
y^18/x^18
Step-by-step explanation:
Assignment Active
Solve and write about ratios.
Students voted for a new class president and the results What does the ratio 344:109 represent?
are shown in the table.
O Jocelyn's votes to total votes
O Rosalia's votes to Danny's votes
O total votes to Jocelyn's votes
O total votes to Danny's votes
Assignment
Candidate
Rosalia
Jocelyn
Danny
Intro
Votes
124
109
111
Who votes to who’s votes
The answer to this question is:
Ratio 344:109 represents the ratio of the total votes to Jocelyn's votes.
A ratio in mathematics shows how frequently one number is contained in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of orange to lemon is eight to six (that is, 8:6, which is equal to the ratio of 4:3).
According to the question,
No. of votes Rosalia got = 124
No. of votes Jocelyn got = 109
No. of votes Danny got = 111
No. of votes received by all candidates =
= 124 + 109 + 111
= 344
So, the ratio 344:109 is the ratio of the total votes to Jocelyn's votes.
Therefore, Ratio 344:109 represents the ratio of the total votes to Jocelyn's votes.
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What is the mode for this problem?
Identify the slope and y intercept of the line for
each equation.
7. y = -5x - 3/4
8. y=1/4x+5
Answer:
7. Slope = -5
Y-intercept = -3/4
8. Slope = 1/4
Y-intercept = 5
Step-by-step explanation:
y = mx + b
Slope = m
Y-intercept = b
3y+4x=9
I have to find the literal solution
Answer:
Step-by-step explanation:
3−4x/3 this is for x
y = -4/3x + 3 this is for why I’m not sure which one your trying to solve for
Simplify: 3/4y - 2/4y + 7 = 2/4y - 1. Show your work.
help please
I'm assuming the equation is
[tex]\frac{3}{4}y - \frac{2}{4}y+7 = \frac{2}{4}y-1[/tex]
Let me know if the equation is different so I can update the solution.
-----------------
Fractions are a pain to deal with, so it's best to eliminate them whenever we can. In equations like this, we can multiply both sides by 4 since this is the LCD (which stands for "lowest common denominator").
If we multiply both sides by 4, then all the denominators of 4 will cancel.
We'll have these steps:
[tex]\frac{3}{4}y - \frac{2}{4}y+7 = \frac{2}{4}y-1\\\\4\left(\frac{3}{4}y - \frac{2}{4}y+7\right) = 4\left(\frac{2}{4}y-1\right)\\\\3y - 2y + 28 = 2y - 4 \ \ \text{ ... denominators cancel after distributing}\\\\y + 28 = 2y - 4\\\\y- 2y =- 4-28\\\\-y = -32\\\\y = \frac{-32}{-1}\\\\y = 32\\\\[/tex]
Final Answer: y = 32Answer:
[tex]y=32[/tex]
Step-by-step explanation:
Given the following question:
[tex]\frac{3}{4}y-\frac{2}{4}y+7=\frac{2}{4}y-1[/tex]
[tex]\frac{3}{4}y-\frac{2}{4}y+7-7=\frac{2}{4}y-1-7[/tex]
[tex]\frac{3}{4}y-\frac{2}{4}y=\frac{y}{2}-8[/tex]
[tex]\frac{3}{4}y-\frac{2}{4}y-\frac{y}{2}=\frac{y}{2}-8-\frac{y}{2}[/tex]
[tex]-\frac{y}{4}=-8[/tex]
[tex]4\left(-\frac{y}{4}\right)=4\left(-8\right)[/tex]
[tex]\frac{-y}{-1}=\frac{-32}{-1}[/tex]
[tex]y=32[/tex]
Therefore "y = 32."
Hope this helps.
Which of these is an example of a systematic random sample?
a.) selecting all the students in a class of 30.
b.) selecting 4 balls from a bag containi
An example of a systematic random sample will be selecting 4 balls from a bag containing. The correct option is B.
What is systematic random sampling?A probability sampling technique called systematic sampling involves picking people from the population at regular intervals, such as every 15th person on a list of the population. This can mimic the advantages of straightforward random sampling if the population is arranged in random order.
Here we have two options a.) selecting all the students in a class of 30.
b.) Select 4 balls from a bag containing 30 balls.
Out of the two options, a systematic random sample will be Select 4 balls from a bag containing 30 balls.
Therefore, the correct option is B.
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f(x) = 12x + 10 is a function which can used to to calculate a person's daily paycheck.
Which would be a reasonable domain for this function?
A: all real numbers
B: 0
C: 0
D: 0
This shows that a reasonable domain for this function is x > -5/6
Domain of a functionThe domain of a function is a value of the independent variable of the function for which it exists.
Given the equation below:
f(x) = 12x + 10
Since the function represents the expression used calculate a person's daily paycheck, then the function f(x) must be greater than zero;
12x + 10 > 0
12x > -10
x > -10/12
x > -5/6
This shows that a reasonable domain for this function is x > -5/6
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list the variables and constants in this expression:
3x+6
Answer:
The variable is x and the constant is 6. The coefficient of the variable is 3.
Step-by-step explanation:
If the domain of the function f(x) = 3x -2 is {-1, 0, 1}, what is the range of the function?
When x = -2:
f(-2) = -3 (-2) + 1
f(-2) = 6 +1
f(-2) = 7
y = 7
When x = 0:
f(0) = -3 (0) + 1
f(0) = 0 +1
f(0) = 1
y = 1
When x = 3:
f(3) = -3 (3) +1
f(3) = -3 (3) + 1
f(3) = -9 +1
f(3) = -8
y = -8
So, the Range is {7, 1, -8}
Simply completely:
5y(xy^3)^2
Answer:
5y^7x^2
Step-by-step explanation:
5y (xy^3)^2
apply product rule: xy^3
5y(x^2(y ^3)^2)
multiply exponents: (y^3)^2
5y(x^2y^6)
Add exponents: y and y^6
5y^7x^2
A function is shown in the table.
x g(x)
−2 2
−1 0
0 2
1 8
Which of the following is a true statement for this function? (5 points)
Group of answer choices
The function is decreasing from x = 0 to x = 1.
The function is decreasing from x = −1 to x = 0.
The function is increasing from x = 0 to x = 1.
The function is increasing from x = −2 to x = −1.
Answer:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
The value of g(0) is less than g(1), meaning g(x) increased from x=0 to x=1.
I need help on this!!
I don’t see the lateral height, how do I solve for this??
If m<4=119, what is m<10
Answer: So after applying concept of parallelism m<10 = 119
Step-by-step explanation:
As we have given m<119
In terms of parallelism
m< 4 = m<8
and m<8 = m<10
Therefore
m< 10 = m<4 = 119
So after applying concept we get m<10 = 119.
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What is it asking for??
If f(x) = x² – 1, and
g(x) = x + 2, then
f(g(x)) = [? ]x²+[ ]x + []
helppppppppppppppppppppppp
Answer:
see explanation
Step-by-step explanation:
the 2 expressions are difference of squares and factor in general as
a² - b² = (a + b)(a - b)
Then
4w² - 36
= (2w)² - 6²
= (2w + 6)(2w - 6)
and
25[tex]x^{4}[/tex] - 64y²
= (5x²)² - (8y)²
= (5x² + 8y)(5x² - 8y)
Abbey wants to use her savings of $1,325 to learn yoga. the total charges to learn yoga include a fixed registration fee of $35 and a monthly fee of $50. choose the inequality that would be used to solve for the maximum number of months for which abbey can learn yoga with her savings. 35x 50 ≤ 1,325 35 50x ≥ 1,325 35 50x ≤ 1,325 35x 50 ≥ 1,325
Answer:
Step-by-step explanation:
Take 1325-35=1290. 1290/30= 43. She will be able to learn 43 Yoga for 43 months.
A snail moves at a pace of 2 ft/min. how fast does the snail move in inches/hour?
The snail move at the pace in 1440in/hr.
Speed:
Speed is measured as the ratio of distance to the time in which the distance was covered.
Speed is a scalar quantity as it has only direction and no magnitude.
Given,
A snail moves at a pace of 2 ft/min.
Here we need to find how fast does the snail move in inches/hour.
We know that,
1 ft/min = 720.00 in/h
So, here we have 2 feet/minute.
That is equal to
=> 2 x 720.00 in/h
When we multiply it then we get the value of,
=> 1440 in/hr
Therefore, the snail move at the pace in 1440in/hr.
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CAN SOMEONE HELP ME PLEASE I don't know what -2 1/3+(-1 3/4)=? in factions
The solution to the fraction expression -2 1/3 + (-1 3/4) is -4 1/12
How to evaluate the fraction?The fraction expression is given as
-2 1/3 + (-1 3/4) =
Express the terms of the expression as an improper fraction
So, we have
-2 1/3 + (-1 3/4) = -7/3 + (-7/4)
Remove the bracket in the above expression.
So, we have
-2 1/3 + (-1 3/4) = -7/3 - 7/4
Take the LCM in the above expression.
So, we have
-2 1/3 + (-1 3/4) = (-7 * 4 - 7 * 3)/12
Evaluate the difference
-2 1/3 + (-1 3/4) = -49/12
Express the fraction as a mixed fraction
-2 1/3 + (-1 3/4) = -4 1/12
Hence, the solution to the fraction expression -2 1/3 + (-1 3/4) is -4 1/12
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A point that is Interior to an Angle is found on the Exterior of the Angle
Select the correct response:
True
False
True
the sum of interior angles is equal to exterior
A point that is Interior to an Angle is found on the Exterior of the Angle
The statement is false
How do we explain?
A point that is interior to an angle is located within the angle, not on the exterior. The interior of an angle refers to the region enclosed by the angle's sides.
A point that is interior to an angle is located within the angle, not on the exterior. When we refer to the interior of an angle, we are referring to the space enclosed by the angle's sides and vertex.
In geometric terms, an angle consists of two rays that share a common endpoint called the vertex. The interior of the angle is the region between these two rays while on the other hand, the exterior of an angle refers to the space outside the angle, beyond its sides.
In conclusion, a point that is interior to an angle is found within the angle itself, not on the exterior.
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Solve 2 (x-3) ≥-3 (−3+x).
A. x ≤2
B. x <3
C. x ≥3
D. x ≥ 2
[tex]2(x-3)\geqslant -3(-3+x)\implies 2x-6\geqslant 9-3x\implies 2x\geqslant 15-3x \\\\\\ 5x\geqslant 15\implies x\geqslant \cfrac{15}{5}\implies x\geqslant 3[/tex]
The Amari family installed an inground pool with the dimensions shown, what is the volume of the inground pool?
Answer:
23716 cubic feet
Step-by-step explanation:
7^2=49
11^2=121
2^2=4
49x121=5929
2929x4=23716
Pls help me w thissssss
In this problem, we need to use multiplication and subtraction method to solve it.
_________________________________
x(y) means to multiply x with y
_________________________________
Note that {a = 7} and {b = 6}
First, we need to multiply 4 with {a = 7}, we get:
4(7) = 28
Then, we need to subtract {b = 6} from 28, we get:
28 – 6 = 22
Finally, this simplifies as:
4(7) – 6 = 22
Hope this helps :)
1. (-32) (-3) =? 2. (79) (-2) =?
Answer:
1. = 96
2. = -158
Step-by-step explanation:
When you multiply two negatives the answer is positive, and when you multiply one negative and one positive the answer is negative
Find the greatest common factor for each problem.use the t-chart to slow?
16 and 40
Gcf:
The required GCF is 8.
The greatest common factor is that greatest number from the factors which divides the number completely.
For example take numbers 12 and 16.
The factors of 12 are 2×2×3.
And the factors of 16 are 2×2×2×2.
We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.
Here it is given to find the greatest common factor of 16 and 40.
Factors of 16 = 2×2×2×2
Factors of 40 = 2×2×2×5
We can see clearly the common factors are 2×2×2 which gives 8.
So, 8 is the greatest common factor.
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