Change 5000 meters to kilometers.
Select the number property that will justify the following expression.
If cba represents three numbers multiplied together, what property allows you to rearrange the factors to read abc?
a. transitive
b. idenity addition
c. communitive addition
d. associative - addition
I believe this may be what your looking for ;-)
Select the number property that will justify the following expression.
If cba represents three numbers multiplied together, what property allows you to rearrange the factors to read abc?
commutative - multiplication used twice
The Commutative Property of multiplication justifies the rearrangement of factors in a multiplication problem, such as changing cba to abc.
If cba represents three numbers multiplied together, the c. Commutative Property of multiplication allows you to rearrange the factors to read abc. This property states that the order of factors can be switched without changing the product, meaning ab = ba. The options provided in the query (transitive, identity addition, and associative - addition) are not related to multiplication or the rearranging of factors.
A linear model projects that the number of bachelor's degrees awarded in the United State will increase by 19,500 each year. In 2001, 1.28 million bachelor's degrees were awarded. Use the inverse function to predict the number of years after 2001 that 1.7 million bachelor's degrees will be awarded.
The linear model predicts that approximately 22 years after 2001 (around the year 2023), 1.7 million bachelor's degrees will be awarded annually in the U.S.
Explanation:The problem is related to the mathematical concept of linear modeling. This model is represented by the function f(x) = 19500x + 1.28 million, where x is the number of years after 2001 and f(x) is the number of bachelor's degrees awarded in that year. The objective is to calculate 'x' when f(x) is 1.7 million. To do this, we use the inverse function.
The inverse function of f(x) = 19500x + 1.28 million is the function x = (f(x) - 1.28 million) / 19500. Substituting the known value f(x) = 1.7 million into the equation, we get: x = (1.7 million - 1.28 million) / 19500 ≈ 21.54. Since we cannot have a fraction of a year, we round this up to the next whole number.
Therefore, according to the linear model, it will be approximately 22 years after 2001, i.e., in the year 2023, when the number of bachelor's degrees awarded is expected to reach 1.7 million.
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Using the linear model, it is predicted that 1.7 million bachelor's degrees will be awarded approximately 22 years after 2001, which corresponds to the year 2023.
Explanation:To predict the number of years after 2001 that 1.7 million bachelor's degrees will be awarded using a linear model, we start with the initial number of degrees awarded in 2001, which is 1.28 million. According to the model, the number of bachelor's degrees increases by 19,500 each year. We set up the equation: 1.28 million + 19,500x = 1.7 million. Here, x represents the number of years after 2001.
Solving for x gives us:
1.7 million - 1.28 million = 19,500x
420,000 = 19,500x
x = 420,000 / 19,500
x ≈ 21.54
Thus, it will take approximately 22 years after 2001 for 1.7 million bachelor's degrees to be awarded, which means this is expected to occur in the year 2023 (since 2001 + 22 = 2023).
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Multiply and reduce to lowest terms? 1. 2 1/7 * 4 3/8 = user: 10 1/4 - 9 5/6 =
Find the largest possible area for a rectangle with base on the x-axis and upper vertices on the curve
y=8-x^2 Find the largest possible area for a rectangle with base on the x-axis and upper vertices on the curve
y=8-x^2
The given curve is a quadratic function and to find the area of a rectangle under it with maximum area, we consider the rectangle's base as an interval on x-axis and find the maximum value using calculus. The maximum area is achieved when x is sqrt(8/3).
Explanation:To find the largest possible area for a rectangle with its base on the x-axis and upper vertices on the curve y=8-x^2, we would use calculus, specifically optimization.
Consider the base of the rectangle as the interval [-x, x] along the x-axis. Hence, the width of the rectangle would be 2x and the height would be the value of the curve at any x, which is 8-x^2.
Therefore, the area A of the rectangle can be expressed as A = (2x)*(8-x^2) = 16x - 2x^3.
To maximize the area, we take the derivative of A with respect to x, set it equal to zero and solve for x. The derivative is A' = 16 - 6x^2. Setting this to 0, we get 6x^2 = 16 or x = √(8/3).
Substituting x = √(8/3) back into the original equation y = 8 - x^2 will give the maximum height of the rectangle, and hence its maximum area.
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Mike has an adjusted gross income of $85,643. He claims two exemptions and can deduct $896 for state income tax, $2,145 for charitable donations, and $3,473 for medical expenses. If the standard deduction is $5,700 and exemptions are each worth $3,650, what is Mike’s total taxable income? a. $72,643 b. $75,479 c. $71,829 d. $66,129
The real answer is C. $71,829. Just took the engenuity test.
Mike's total taxable income is $71,829.
Explanation:To calculate Mike's total taxable income, we need to subtract his deductions and exemptions from his adjusted gross income. According to the given information, his adjusted gross income is $85,643. He claims two exemptions, which are each worth $3,650, so the total exemption amount is $7,300. He can deduct $896 for state income tax, $2,145 for charitable donations, and $3,473 for medical expenses. Thus, the total deduction amount is $6,514. Therefore, Mike's total taxable income is:
Total taxable income = adjusted gross income - (deductions + exemptions)
Total taxable income = $85,643 - ($6,514 + $7,300)
Total taxable income = $85,643 - $13,814
Total taxable income = $71,829
So, the correct answer is c. $71,829
if g(x)= 5-x^2 what's g(g(x))
Round 430 to nearest thousand
Answer:
430 rounded to nearest 1000 = 0
Step-by-step explanation:
Rounding of a number means writing a number which is closely equal to given number but easy to represent and calculate.
We are given the number 430 and we have to round off this number to the nearest thousands.
The place value chart for this number is:
Place Value: Hundreds Tens Ones
430: 4 3 0
Thus, it is clear that 430 does not have a thousands value. Thus, we have zero at thousands place. Thus, we have have to round of zero at thousands place.
Since this, number have no thousands value, when we round it off to nearest thousand we get 0.
430 rounded to nearest 1000 = 0
Find the measure of each exterior angle for a regular pentagon. Round to the nearest tenth if necessary.
A. 540 C. 360
B. 108 D. 72
The requried exterior angle of a regular pentagon measures 72 degrees. Option D is correct.
What is a polygon?Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length and an equal measure of angle at the vertex.
Examples of polygons, equilateral triangles, squares, pentagons, etc
Here,
The measure of each exterior angle for a regular pentagon can be found by using the formula: exterior angle = 360 / number of sides.
For a regular pentagon, the number of sides is 5, so the formula becomes, exterior angle = 360 / 5 = 72 degrees.
Therefore, each exterior angle of a regular pentagon measures 72 degrees.
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Which expression is equivalent to 4√32·√2 ?
16
42√42
162√162
32
Answer:
Yep, it's 32
Step-by-step explanation:
What is another way to write the expression 82p
To convert 82 pints to quarts, divide 82 by the conversion factor of 2, which provides the result of 41 quarts.
Explanation:To rewrite the expression 82p where p represents pints into quarts, first understand that pints are smaller than quarts. Because there are 2 pints in a quart, you use division for the conversion. Since the conversion factor is 2, you would divide the number of pints by 2 to find out how many quarts that is.
To convert 82p, divide 82 by 2:
82 ÷ 2 = 41
Therefore, 82 pints is equal to 41 quarts.
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What percent of 72 is 45
What decimal is equivalent to 5/6?
If a and b are parallel lines and m <3 = 128º, what is the measure of <8?
A) 134º
B) 54º
C) 52º
D) 49º
Image Bellow :-)! thanks in advance! =]
Given the information that angle 3 is 128 degrees and lines a and b are parallel, angle 8 would also be 128 degrees. But none of the provided options matches 128 degrees, implying missing or incorrect information in the question.
Explanation:In geometry, if lines are parallel, the corresponding angles are equal. Given that a and b are parallel lines and angle 3 is 128°, if angle 8 corresponds to angle 3, angle 8 would also be 128°. However, the possible values provided don't include 128°. Therefore, there seems to be insufficient information or a mistake in the question to give a definite answer. All possible answers: A) 134º, B) 54º, C) 52º, D) 49º - don't match with 128º. Perhaps there's an intermediary step or piece of information missing.
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find the numbers preceding and succeeding the following number.... B0B base 12 ?
The scientific notation 2 ��� 10^2 has what value? 100
Ralph likes 25 but not 24; he likes 400 but not 300; he likes 144 but not 145. which does he like:
Ralph would choose any number that is a perfect square.
The pattern Ralph likes is that he prefers numbers that are perfect squares. A perfect square is an integer that is the square of an integer. For example, he likes 25 because it is 52, 400 because it is 202, and 144 because it is 122. Numbers like 24, 300, and 145 are not perfect squares and therefore are not liked by Ralph.
To determine which number Ralph would like from a given list, you should identify which numbers are perfect squares. For instance, between the numbers 146 and 144, Ralph would like 144 as it is a perfect square (122) whereas 146 is not a perfect square.
There were 7 field goals made in 14 attempts. how many goals should be made in 8 attempts
Write the scientific notation in numerals.
5.82 x 102
A biologist took a count of the number of fish in a particular lake, and recounted the lake’s population of fish on each of the next six weeks.
Find a quadratic function that models the data as a function of x, the number of weeks. Use the model to estimate the number of fish at the lake on week 8.
P(x) = 13x^2 – 10x + 350; 917 fish
P(x) = 13x^2 – 10x + 350; 1,102 fish
P(x) = 18x^2 + 10x + 300; 1,252 fish
P(x) = 18x^2 + 10x + 300; 1,532 fish
Answer:
P(x) = 13x2 – 10x + 350; 1,102 fish
Step-by-step explanation:
Plug in week 8 for x.
[tex]P(x) = 13 * (8)^{2} - 10(8) - 350 =[/tex]
[tex]P(x) = 13 * 64 - 80 + 350 =\\\\ P(x) = 832 - 80 + 350 = 1102[/tex]
How do you write 2010 in word form
If a = b, then ac = bc. This is called the ________ ________ of equality. (2 words)
Jalil mixed 3/8 cup of sugar with 11/6 cups of water. How many more cups of water than sugar did he use in his mixture
Answer:
[tex]1\frac{11}{24}[/tex] cup more water than sugar
Step-by-step explanation:
Jalil mixed the number of cups of sugar = [tex]\frac{3}{8}[/tex]
with the number of cups of water = [tex]\frac{11}{6}[/tex]
We have to find the additional amount of water that is used in his mixture.
So we will subtract the amount of sugar from the amount of water.
[tex]\frac{11}{6}[/tex] - [tex]\frac{3}{8}[/tex]
= [tex]\frac{44-9}{24}[/tex]
= [tex]\frac{35}{24}[/tex]
= [tex]1\frac{11}{24}[/tex] cup
[tex]1\frac{11}{24}[/tex] cup more water is used in this mixture.
Given this triangle find angle B to the nearest tenth of a degree if b=8 and c=12.
76 is what percent of 95
3/5 of the village speaks one of the 8 major languages. What fraction of the world speaks a language other than one of the 8 major languages?
0.00000768 is the correct answer, depending how you do it.
which of the following is a correct equation for the line passing through the point (-3,2) and having slope m=2/3.
Check all that apply.
A.) y-2=2/3(x+3)
B.) 2x-3y=-12
C.) y=2/3x+4
D.) y=2/3x
Answer:
Step-by-step explanation:
Given : [tex](x_1,y_1)=(-3,2)[/tex]
[tex]m=\frac{2}{3}[/tex]
Solution:
Equation of line:[tex]y-y_1 = m(x-x_1)[/tex]
Substituting the given values
⇒[tex]y-2= \frac{2}{3}(x-[-3])[/tex]
⇒[tex]y-2= \frac{2}{3}(x+3)[/tex] --A
⇒ [tex]3y-6= 2x+6[/tex]
⇒ [tex]2x-3y = -6-6[/tex]
⇒[tex]2x-3y =-12[/tex] ---B
⇒[tex]2x+12 =3y[/tex]
⇒ [tex]\frac{2x+12}{3} =y[/tex]
⇒ [tex]\frac{2}{3}x+4 =y[/tex] ---C
Hence Equation A ,B and C are the correct equations
What is the completely factored form of 2x2 – 32?
Answer:
[tex]2(x+4)(x-4)[/tex]
Step-by-step explanation:
The given expression is [tex]2x^2-32[/tex]
The GCF of the expression is 2. Hence, we can factor out 2
[tex]2(x^2-16)[/tex]
Now, we can write 16 as a perfect square
[tex]2(x^2-4^2)[/tex]
Apply the difference of squares formula [tex]a^2-b^2=(a+b)(a-b)[/tex]
[tex]2(x+4)(x-4)[/tex]
Therefore, the factored form of the given expression is [tex]2(x+4)(x-4)[/tex]
If after turning off a applications the download speed increase to 0.15gb min will you be able to download the entire game now
Final answer:
To determine if you can download an entire game with a download speed of 0.15GB per minute, divide the total game size by the download speed. For a 1.5GB game, it would take 10 minutes to download at this speed.
Explanation:
Calculating whether you can download an entire game based on the download speed and the game's size is a problem that falls under the subject of Mathematics. To determine if the game can be fully downloaded, you would need to know the total size of the game. For instance, if the game is 1.5GB and your download speed is 0.15GB per minute, you can calculate the time it would take to download the game by dividing the total size by the download speed. In this example:
Total game size: 1.5GB
Download speed: 0.15GB/min
Time to download = Total size / Download speed = 1.5GB / 0.15GB/min = 10 minutes
Therefore, with a download speed of 0.15GB per minute, you would be able to download a 1.5GB game in 10 minutes. If you have enough time before you need to use the game, you will be able to download the entire game now.
Which of the following represents the set of possible rational roots for the polynomial shown below?
2x³+5x²-8x-10=0
a. {±2/5, ±1/2, ±1, ±2, ±2/5, ±1/5, ±1/10}
b. {±1/2, ±1, ±2, ±5/2, ±5, ±10}
c. {±1, ±2, ±4, ±5, ±10, ±20}
d. {1/2, 1, 2, 5/2, 4, 5, 10, 20} ...?
Answer:
Option b is correct
Step-by-step explanation:
Given the polynomial
[tex]2x^3+5x^2-8x-10=0[/tex]
we have to find the set of possible rational roots for the polynomial.
Rational root theorem states that if P(x) has any rational roots then they must be of form
[tex]\pm{\frac{\text{Factor of }a_0}{\text{factors of }a_n}[/tex]
Here [tex]P(x)=2x^3+5x^2-8x-10[/tex]
Factors of 10=1, 2, 5, 10
Factors of 2=1, 2
Possible rational roots are
[tex]\{\pm1, \pm\frac{1}{2}, \pm2, \pm\frac{5}{1}, \pm\frac{5}{2}, \pm 10\}[/tex]
Option b is correct