Option A
[tex](7 \times 10^{-3}) - (2.3 \times 10^{-6}) = 6.9977 \times 10^{-3}[/tex]
Solution:
Given expression is:
[tex](7 \times 10^{-3}) - (2.3 \times 10^{-6})[/tex]
To evaluate the expression, let us make the exponent of 10 same
[tex]2.3 \times 10^{-6} = 0.0023 \times 10^{-6+3} = 0.0023 \times 10^{-3}[/tex]
[ Here, decimal point is moved three times left, so add 3 ]
Therefore,
[tex](7 \times 10^{-3}) - (2.3 \times 10^{-6}) = (7 \times 10^{-3}) - (0.0023 \times 10^{-3})[/tex]
[tex]\text{Take the } 10^{-3} \text{ as common }[/tex]
[tex](7 \times 10^{-3}) - (0.0023 \times 10^{-3}) = 10^{-3}(7-0.0023)\\\\\text{ Solve for terms inside the bracket }\\\\(7 \times 10^{-3}) - (0.0023 \times 10^{-3}) = 10^{-3} \times 6.9977\\\\\text{Therefore, the simplified expression is: }\\\\(7 \times 10^{-3}) - (0.0023 \times 10^{-3}) = 6.9977 \times 10^{-3}[/tex]
Thus Option A is correct
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Which is an equation of the line that
passes through the points (5, 2) and
(10, -3)?
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If $7 - 4x = 15$, what is the value of $8x + 2$?
Answer:
need options?
Step-by-step explanation:
Answer:
Step-by-step explanation:
$7 - 4x = $15
-4x = $15 - $7
-4x = $8
x = $8/-4
x = $-2
So,
$8x + $2
= $8(-2) + $2
= $-16 + $2
= $ -14
How does using models to find 2.4 - 1.07 is similar to using models to find 240 - 107.
Answer:
Basically, because when you want to find the difference between 2.4 and 1.7 using models, you take away the same amount of squares as if you were finding the difference between 240 and 170 using models.
PLEASE ANSWER I NEED HELP!!!
The correct answer is E. Both functions are linear, only crossing the x-axis once and the y-axis once.
We can see from the graph that both Function A and Function B are straight lines. This means they are linear functions.
Linear functions also have only one x-intercept and one y-intercept. The x-intercept is the point where the line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
The y-intercept for both Function A and Function B is at (0,0). The x-intercept for Function A is at (-2,0) and the x-intercept for Function B is at (1,0).
Therefore, both statements in choice E are true.
The other statements in the question are not true.
Choice A, Both functions have negative rates of change, is not true. Function A has a negative rate of change, but Function B has a positive rate of change.
Choice B, Both functions have the same rate of change, is not true, as discussed above.
Choice C, When graphed, Function A and Function B are parallel, is not true. Parallel lines would never intersect, but the two functions intersect at the origin.
Choice D, Function A has a greater rate of change than Function B, is not true. The slope of Function B is steeper than the slope of Function A, so Function B has a greater rate of change.
What is 6x-6y=-24
Y=3x+14
Answer:
x=-5, y=-1. (-5, -1).
Step-by-step explanation:
6x-6y=-24
y=3x+14
---------------
6x-6(3x+14)=-24
6x-18x-84=-24
-12x-84=-24
-12x=-24+84
-12x=60
x=60/-12
x=-5
y=3(-5)+14=-15+14=-1
can someone help me on 12,13,14 :)
Answer:
m∠XYZ = 166
AB = 2√5
Modpoint (1 , 5)
Step-by-step explanation:
Look at the photo below for the details.
:)
pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeSimplify -2^3
Answer:
Therefore,
[tex](-2)^{3}=-8[/tex]
Step-by-step explanation:
Simplify
-2^3
[tex](-2)^{3}[/tex]
It is read as negative 2 raised to the power three,
also it is the cube of negative 2
we know that [tex]a^{3}[/tex]given as
[tex]a^{3}=a\times a\times a[/tex]
so for negative a i.e -a
[tex](-a)^{3}=-a\times -a\times -a[/tex]
substituting a = 2 we get
[tex](-2)^{3}=-2\times -2\times -2[/tex]
negative sign multiplied by odd number of times then the sign remains negative.
Therefore,
[tex](-2)^{3}=-8[/tex]
what two expressions are equivalent to 3/5 x - 3
a. 3/5 ( x - 1)
b. 3/5 (x - 5)
c. 3(1/5 x - 1)
d. 3 - 3/5 x
Answer:
B&C are the answers.
What the answer to a-a=-5
I’m not good at makeing Word problems
Morgan wrote the number 54,123. Then she wrote another number in which the 2 digit has 10 times the value it has in 54,123
if carlos did some work and got 3x + 2x - 6 = 24 what mistake did he make
Carlos made the mistake that he did not combine like terms (3 x and 2 x) properly and did not use addition property of equality.
Step-by-step explanation:
Carlos did the work as 3 x + 2 x - 6 = 24
We need to find his mistake that he made in above given.
Here, he did not add the like terms (3 x and 2 x)
3 x + 2 x = 5 x
Therefore, his work should be
5 x - 6 = 24
Also, he did not use addition property of equality. It means the equation remains same even though the same number gets added on both sides. It would be
5 x - 6 = 24
+ 6 = + 6
-----------------------
5 x = 30
Dividing 30 by 5, we get answer as '6'. Hence,
[tex]x=\frac{30}{5}[/tex] = 6
So, stated the above two are the mistakes found in carlos work.
assuming that each salesperson earned commission on all items he or she sold who earned the most commission
Answer:
ITS RUTH
Step-by-step explanation:
To know who earned the most commission, one must multiply the number of items sold by each salesperson by their respective commission rates. The one with the highest total is the salesperson who earned the most commission.
Explanation:To determine who earned the most commission, you first need to have concrete data. This should include the number of items each salesperson sold and the commission rate or amount associated with each item.
Multiply the number of items each person sold by the respective commission to get the total commission earned by each salesperson.
The salesperson with the highest total commission is the one who earned the most. For instance, if salesperson A sold 50 items with a commission of $2 per item, their total commission would be 50*2 = $100.
If salesperson B sold 30 items at $5 per item, their total would be 150.
Hence, in this situation salesperson B earned more commission even though they sold fewer items.
Learn more about Calculating Commissions here:https://brainly.com/question/34937852
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The height of a building on a 1/4 inch: 1 foot scale drawing is five inches tall. How tall is the actual building?
Answer:
The height of the building is [tex]1\frac{1}{4}\ feet.[/tex]
Step-by-step explanation:
Given:
Scale drawing is 1/4 inch: 1 foot.
The height of the building in drawing is 5 inches.
Now, to find the actual height of the building.
Let the actual height be [tex]x.[/tex]
The height of the building in drawing = [tex]5\ inches.[/tex]
The ratio of the scale drawing is [tex]\frac{1}{4}\ inch:1\ foot.[/tex]
So, [tex]\frac{1}{4}\ inch[/tex] is equivalent is 1 foot.
Thus, 5 inches is equivalent to [tex]x.[/tex]
Now, to get the actual height of the building by using cross multiplication method:
[tex]\frac{\frac{1}{4}}{1} =\frac{5}{x}[/tex]
[tex]\frac{4}{1} =\frac{5}{x}[/tex]
By cross multiplying we get:
[tex]4x=5[/tex]
Dividing both sides by 4 we get:
[tex]x=\frac{5}{4}[/tex]
[tex]x=1\frac{1}{4}[/tex]
Therefore, the height of the building is [tex]1\frac{1}{4}\ feet.[/tex]
Use the properties of operations to determine if each pair of expressions is equivalent for 1/2(4 - 2x); 2 - 2x
Answer:
They are not equivalent
Step-by-step explanation:
We want to determine if 1/2(4 - 2x); 2 - 2x are equivalent.
Let us take the first expression and simplify to see if we can get the second expression.
[tex] \frac{1}{2}(4 - 2x)[/tex]
Let us expand using the distributive property to get:
[tex] \frac{1}{2} (4 - 2x) = \frac{1}{2} \times 4 - \frac{1}{2} \times 2x[/tex]
This simplifies to:
[tex]\frac{1}{2} (4 - 2x) = 2 - x[/tex]
Therefore 1/2(4 - 2x); and 2 - 2x are not equivalent
1 2/5+1 1/3= find sum or difference
Answer:the answer is 2 between 5
Step-by-step explanation:
22. model each situation below with an equation. select the correct equation for each situation. then solve each problem. A company employs 72 workers. it plans to increase the number of employees by 6 per month until it has twice its current workforce. how many months will it take to double the number of employees?
Answer:
12 months
Step-by-step explanation:
A company employs 72 workers. It plans to increase the number of employees by 6 per month.
Let x = number of months when the company increases the number of workers. Then in x months, the number of workers increases by 6x and the total number of workers will be (72+6x).
They plan to increase the number of workers until it has twice its current workforce. So
[tex]72+6x=2\cdot 72[/tex]
Solve this equation:
[tex]72+6x=144\\ \\6x=144-72\\ \\6x=72\\ \\x=12[/tex]
4x2 - 14 + y - (8 + 13)
What is the value of the expression when x = 4 and y = 7?
OA. 67
OB. 9
Oc. 41
OD. 35
write an expression in simplest form that represents the total amount in each situation: Today is your friends birthday. she is y years old. her brother is 5 years younger.
Answer:
2y-5
Step-by-step explanation:
friend: y
Brother: y-5
y+y-5
aka
2y-5
Assuming a person from this survey is selected at random, what is the probability that a person perfers rap music given that the person is female?
Answer:
The probabiliy of selecting a person who prefeers rap if the person is female an be calculated as the proportion of women who prefeer rap music: 23.6%.
Step-by-step explanation:
The total amount of persons in the survey is 200: women in the sample equal to 106 ( 54 of them preferred techno music, 45 of them prefeer rap and 27 of them prefeer country music), while there are 94 men in the sample (36 of them preferred techno music, 40 of them prefeer rap and 18 of them prefeer country music).The probabiliy of selecting a person who prefeers rap if the person is female can be calculated as the proportion of women who prefeer rap music: [tex]\frac{25}{106}=23.6\%[/tex]. Knowing that the person is a female gives you information, you are no longer looking at the 200 person survey, you are interest in a part of it: the women participants. Then, conditional on knowing that the person is a women (then, we are looking at the 106 cases in which the persons of the survey are women), we now find the probability of finding women who prefeer rap music: 25 between 106 cases, which is [tex]23.6\%[/tex] .Which of the following ordered pairs represents a solution to the linear inequality y<6x-4? A. (0,3) B.(0,11) C. (0,-5) D.(0,4)
Answer:
Option C. (0,-5)
Step-by-step explanation:
See the attached figure.
As shown the shaded area represents the solution of the given inequality:
y < 6x - 4
The given options are the points:
A. (0,3) B.(0,11) C. (0,-5) D.(0,4)
Comparing the given points to the graph.
So, the point that will lie at the shaded area represent solution to the linear inequality.
So, point (0,-5) is a solution to the linear inequality.
The answer is option C. (0,-5)
Note: the line y = 6x-4 is graphed using the table on the graph.
A=16π in.^2 find area answer in terms of pi
50.27 in²
Step-by-step explanation:
The area is given as;
A= 16π in²
The symbol π is the pie
The value of π=3.14159265359
Finding the area in terms of pi could mean replacing π with the actual value as;
A=16×3.14159265359 = 50.27 in² (answer in 2 decimal places)
Learn More
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Keywords: pi, area,
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2. Find f(-1).
f(x) = x2-4x+2
X+7
Round your answer to the nearest hundredth.
Step-by-step explanation:
[tex]f(x)=\dfrac{x^2-4x+2}{x+7}\\\\f(-1)=\text{put}\ x=-1\ \text{to}\ f(x):\\\\f(-1)=\dfrac{(-1)^2-4(-1)+2}{-1+7}=\dfrac{1+4+2}{6}=\dfrac{7}{6}[/tex]
Calculate the slope between the following points (1,6) (3,-7)
Answer:
-13/2
Step-by-step explanation:
slope is calculated as (y2-y1)/(x2-x1)
(x1, x2) is (1,6) and (y1,y2) is (3,-7)
doing (y2-y1)/(x2-x1) gives us ((-7)-6)/(3-1)
= -13/2
The slope between the points (1,6) and (3,-7) is calculated as -6.5 using the slope formula.
Explanation:The slope between two points (1,6) and (3,-7) can be calculated using the slope formula: m = (y2 - y1) / (x2 - x1),
where (x1, y1) and (x2, y2) are the coordinates of the points.
In this case, substituting the values in, we get:
m = (-7 - 6) / (3 - 1) = -13 / 2 = -6.5.
Thus, the slope between the points (1,6) and (3,-7) is -6.5.
jason went to the post office and bought both 41 cent stamps and 26 cent postcards and spent $20.28. The number of stamps was 4 more than twice the number of post cards. How many of each did he buy?
Jason bought 38 stamps and 17 postcards
Solution:
Let "a" be the number of stamps bought
Let "b" be the number of postcards bought
The number of stamps was 4 more than twice the number of post cards
Therefore,
Number of stamps bought = 4 + 2(number of post cards)
a = 4 + 2b ------- eqn 1
Jason bought both 41 cent stamps and 26 cent postcards and spent $20.28
1 dollar is equal to 100 cents
Thus, $ 20.28 is equal to 2028 cents
Therefore, we frame a equation as:
[tex]41 \times a + 26 \times b = 2028[/tex]
41a + 26b = 2028 ----------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 1 in eqn 1
41(4 + 2b) + 26b = 2028
164 + 82b + 26b = 2028
164 + 108b = 2028
108b = 1864
[tex]b = 17.25 \approx 17[/tex]
Substitute b = 17 in eqn 1
a = 4 + 2(17)
a = 4 + 34
a = 38
Thus Jason bought 38 stamps and 17 postcards
what is the correct answer?
Answer:
C, 48
Step-by-step explanation:
all you have to do is divide 60 by 5 to get 12.
Then you have to times 12 with the 4 to get 48 which is C.
is searching online for airline tickets. Two weeks ago, the cost to fly from Orlando to Denver was $250. Now the cost is $365. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Percent increase without baggage = 46%
Percent increase with baggage = 66%
Step-by-step explanation:
Cost of ticket two weeks ago= Old value = $250
Increased cost = New value = $365
Change = New value - Old value
Change = 365 - 250 = $115
Percent increase = [tex]\frac{Change}{Old\ value}*100[/tex]
Percent increase = [tex]\frac{115}{250}*100[/tex]
Percent increase = [tex]\frac{11500}{250}=46\%[/tex]
There is 46% increase in the price.
Change after additional baggage = 115+50 = $165
Percent increase = [tex]\frac{165}{250}*100[/tex]
Percent increase = [tex]\frac{16500}{250}=66\%[/tex]
Percent increase without baggage = 46%
Percent increase with baggage = 66%
Keywords: percentage, division
Learn more percentages at:
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The percent increase in the cost of airline tickets from Orlando to Denver is 46%. If an additional $50 baggage fee is charged, the percent increase is 66%.
Explanation:To calculate the percent increase, we can use the formula: Percent Increase = ((New Value - Old Value) / Old Value) x 100. In this case, the old value is $250 and the new value is $365. Therefore, the percent increase is ((365 - 250) / 250) x 100 = 46%.
If the airline charges an additional $50 baggage fee, the new ticket price would be $365 + $50 = $415. To calculate the percent increase from the original price, we can use the same formula. The old value is still $250 and the new value is $415. Therefore, the percent increase with the added baggage fee is ((415 - 250) / 250) x 100 = 66%.
Solve for x: 2x ^ 3 - x ^ 2 + 18x - 9 = 0
Answer:
see explanation
Step-by-step explanation:
Given
2x³ - x² + 18x - 9 = 0 ( factor the first/second and third/fourth terms )
x²(2x - 1) + 9(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(x² + 9) = 0
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
x² + 9 = 0 ⇒ x² = - 9 ⇒ x = ± 3i
The equation has 1 real solution and 2 complex solutions
x = [tex]\frac{1}{2}[/tex] ← real solution
x = ± 3i ← complex solutions
3^3+7(2x+-6) when x=4
Hey there!
3^3 + 7 ( 2(4)
3^3 = 3 × 3 × 3 = 9 × 3 = 27
27 + 7 (2(4) - 6)
2 × 4 = 8
27 + 7 × 8 - 6
8 - 6 = 2
27 + 7 × 2
7 × 2 = 14
27 + 14 = 41
Answer: 41
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer: 2x= 8, so this would mean it would be:
3^3+7x2
3+7x2
10x2
20
Step-by-step explanation: answer is 20, i think.
What is 4 and 16/25 simplified
Answer:
4.64
Step-by-step explanation:
To simplify mixed numbers you can write them either as a fraction or as a decimal number.
Fraction:
first we need to express both parts of mixed number through the same denominator - 1 has 25/25, so that means 4 has 100/25.
Now we can write that as 100/25 and 16/25, which is (100+16)/25 = 116/25
Decimal number:
This time, we convert this fraction part of a number to decimal. Simply dividing, we get that 16/25 equals 0.64. So 4 and 0.64 is 4.64.