Answer:
B
Step-by-step explanation:
-2-(-4) = -2 + 4
B shows subtracting 2 to the left then adding 4 to the right.
Answer:
B
Step-by-step explanation:
A particle is moving with acceleration a(t)=6t+4. its position at time t=0 is s(0)=5 and its velocity at time t=0 is v(0)=1. What is its position at time t=4 ?
The position of the particle at t = 4 is 105 units.
To find the position of the particle at time t = 4, we need to integrate the acceleration function twice.
First, we'll integrate it with respect to time to obtain the velocity function, and then integrate the velocity function to get the position function.
Given:
a(t) = 6t + 4 (acceleration function)
s(0) = 5 (initial position)
v(0) = 1 (initial velocity)
Integrating the acceleration function with respect to time gives us the velocity function:
v(t) = ∫(6t + 4) dt
= 3t^2 + 4t + C
Using the initial velocity v(0) = 1, we can solve for the constant C:
1 = 3(0)^2 + 4(0) + C
C = 1
Therefore, the velocity function is:
v(t) = 3t^2 + 4t + 1
Now, we integrate the velocity function with respect to time to obtain the position function:
s(t) = ∫(3t^2 + 4t + 1) dt
= t^3 + 2t^2 + t + D
Using the initial position s(0) = 5, we can solve for the constant D:
5 = (0)^3 + 2(0)^2 + 0 + D
D = 5
Therefore, the position function is:
s(t) = t^3 + 2t^2 + t + 5
To find the position at t = 4, we substitute t = 4 into the position function:
s(4) = (4)^3 + 2(4)^2 + 4 + 5
= 64 + 32 + 4 + 5
= 105
Therefore, the position of the particle at t = 4 is 105 units.
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Fido and Jet are two small dogs. Fido weighs exactly 10 pounds more than Jet. Together, they weigh exactly 46 pounds. How much does each dog weigh?
Answer: x = Jet’s weight
x + (x+10) = 46
46 - 10 = 2x
2x =36
x = 18
Jet weighs 18 pounds and Fido weighs 28 pounds.
Step-by-step explanation:
Steps also shown above.
PLEASE HELP I WILL GIVE 100 POINTS!
order the numbers from least to greatest pi, -3, sqrt 49 , sqrt 9
The order of the numbers from least to greatest (pi, -3, sqrt 49 , sqrt 9) is -3.00 < sqrt 9 < pi < sqrt 9
How can the number be arranged?The concept that will be used here is ordering. When you put a list of numbers in order, you rank them from least to greatest or greatest to least. An effective tool for comparing and sorting numbers is a number line. From left to right, we read a number line, with the numbers nearer to the left having lower values.
The given numbers can be converted to decimals so as to be able to arange them in the required order which can be done as :
pi= 3.147= 3.15
-3= -3.00
sqrt 49=7.00
sqrt 9 =3.00
Therefore,-3.00 < sqrt 9 < pi < sqrt 9
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Assign two digits to the right of 2014 so that the resulting six-digit number is divided by 101. What are the two digits? I need the answer ASAP.
Answer:
201495
Step-by-step explanation:
You can reverse this by multiplying 101 by 1995 which will give you that.
not good at explaining, am sorry.
The formula for finding the perimeter of a rectangle is p= 2l 2w solve the formula for w.
Answer:
w = \(\frac{p -2l}{2}\)
Step-by-step explanation:
p = 2l + 2w Subtract 2l from both sides of the equation
p - 2l = 2p Divide both sides by 2
\(\frac{p -2l}{2}\) = w
PLEASE HELP ILL MARK YOU BRAINLIEST Given the expression: 6x10 − 96x2 Factor the entire expression completely. Show the steps of your work.
Answer:
6x¹⁰ - 96x²
6x²(x⁸ - 16)
B) 6x²(x⁸ - 16)
6x²[(x⁴)² - 4²]
6x²[(x⁴ - 4)(x⁴ + 4)]
6x²(x⁴ + 4)[(x²)² - 2²]
6x²(x⁴ + 4)(x² - 2)(x² + 2)
Answer:
Step-by-step explanation:
Part A: The rewritten expression created by factoring out the greatest common factor is 6x2(x8 – 16).
Part B: The completely factored expression is 6x2(x4 + 4) (x2 + 2) (x2 – 2).
My work for Part B:
Step 1: Using the expression from Part A, we just simplify the inside of the parentheses as much as possible by using the difference of two perfect squares pattern:
6x2(x4 + 4) (x2 + 2) (x2 – 2).
can someone plz help me with this question ASAP. drag the tiles to the correct boxes to complete the pairs. not all tiles will be used. the organizers of a founders day festival on main street surveyed local businesses to see if they would be offering any promotions to customers during the festival. the table contains the data gathered.
Answer:
hello the geinus has arrived
Answer and explain how long is the surface of the slide
Answer:
13.9 ft
Step-by-step explanation:
use Pythagoras theorem
surface²=7²+12²
surface²=193
surface=√193=13.89 ft≈13.9 ft
please mark brainliest
Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry food costs $1, and a serving of wet food costs $3. This system of inequalities models the scenario: x + 3y ≤ 8 x + y ≥ 2 Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set. (4 points) Part B: Is the point (8, 2) included in the solution area for the system? Justify your answer mathematically. (3 points) Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points)
Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.
Part B: The point (8, 2) is not included in the solution area.
Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.
Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.
Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:
8 + 3(2) ≤ 8
8 + 6 ≤ 8
14 ≤ 8 (False)
Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.
Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.
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URGENT 50 points
WRITE AS AN ORDER OF OPERATIONS EXPRESSION, THEN SIMPLIFY IT.
Chloe owed the bank $3500 after taking out a small loan. She currently works and
makes $24 per hour. She works for 6 hours a day. After 25 days, will Chloe still owe the
bank money?
Answer:
She will no longer owe the bank any money. She will have 100 dollars in profit.
Step-by-step explanation:
$24 x 6 hours a day means she makes 144 dollars a day.
144 dollars times 25 means she makes 3600 dollars over the 25 day period.
3600-3500(the amount she owed) is 100 dollars
At Andre's birthday party 3 pizzas were ordered for lunch. Each pizza was divided into 8 equal slices. Each child ate 2 pieces and there were 2 pieces left. How many children were at the party?
Answer:11 kids were at the party
Step-by-step explanation:24 slices in all , 22 were eaten so that means 22 divided by 11 is 2 so there was 11 kids
Answer:
11 children
Step-by-step explanation:
First you have to do 8 times 3 to get the number of slices of pizza there were.
Then you have to divided that by 2. But remember, there are 2 slices left.
So, you have to take away one child to get the answer: 11 children
I feel bad for that last child. I hope this helped ;)
answer fast pls
Translate these descriptions into a numerical expression:
Find the sum of 2 and 4, then multiply by 7.
Divide 12 by 3, then multiply by 5
The numerical expressions are:
(2 + 4) x 7 = 42
(12 ÷ 3) x 5 = 20
What is a numerical expression?A mathematical expression is made up of integers and mathematical operators including addition, multiplication, subtraction, and division.
A number can be expressed in numerous ways, including word form and numerical form.
A numerical expression is a mathematical statement that only contains numbers and one or more operation symbols. Addition, subtraction, multiplication, and division are examples of operation symbols. It can alternatively be expressed using the radical symbol (square root symbol) or the absolute value symbol.
The numerical expressions are:
(2 + 4) x 7 = 42
(12 ÷ 3) x 5 = 20
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9x – 1= 10x + 9
What is x equal to
Answer:
-10=x
Step-by-step explanation:
9x-1=10x+9
9x-10×=9+1
-x=10
x=-10
Help needed asap!!!
What is the value of f(-11) given f(x)=1/6(2x-8)
Answer:
Step-by-step explanation:
Okay, Here we go!
To figure this out, lets write the problem down.
f(x)=1/6 (2x-8) ; f(-11)
We substitute -11 for x
f(-11)= 1/6 (2(-11)-8)
Now we solve
2 x -11 =-22
1/6 (-22-8)
-22-8 = -30
-30/6= -5
f(-11) = -5
hope this helps!^^
Answer:
-5
Step-by-step explanation:
just put -11 in place of x
3 of 10
What is the decimal multiplier to decrease by 25%?
Answer:
0.75
Step-by-step explanation:
decrease by 25% means multiply by 75%
convert 75%to decimal
75/100=0.75
2.5 kg of potatoes cost £1.40
Work out the cost of 4.25 kg of potatoes.
5.95
Answer:
£2.38
Step-by-step explanation:
Write and solve an equation of ratios:
£1.40 2.5 kg
----------- = ------------
c 4.25 kg
Cross multiplying, we get:
(£1.40)(4.25 kg) = (2.5 kg*c), or
(£1.40)(4.25 kg)
c = -------------------------- = £2.38
2.5 kg
An asset is purchased on January 1 for $46,200. It is expected to have a useful life of four years after which it will have an expected residual value of $6,300. The company uses the straight-line method. If it is sold for $32,600 exactly two years after it is purchased, the company will record a:
If an asset purchased for $46,200 with a useful life of four years and an expected residual value of $6,300 is sold for $32,600 exactly two years after its purchase, the company will record a loss of $3,300.
The straight-line method is used to allocate the cost of an asset evenly over its useful life. In this case, the asset's initial cost is $46,200, and it has a useful life of four years.
The annual depreciation expense is calculated as the difference between the initial cost and the expected residual value, divided by the useful life:
($46,200 - $6,300) / 4 = $9,225 per year
After two years, the accumulated depreciation would be
2 years x $9,225 = $18,450.
If the asset is sold for $32,600, the loss on the sale would be the difference between the selling price and the book value (initial cost - accumulated depreciation):
$32,600 - ($46,200 - $18,450) = $32,600 - $27,750 = $4,850
However, since the loss ($4,850) exceeds the expected residual value ($6,300), the loss recorded would be limited to the difference between the selling price and the expected residual value:
$32,600 - $6,300 = $26,300
Therefore, the company will record a loss of $3,300 ($26,300 - $23,000) when the asset is sold two years after its purchase.
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Hi i really need help pleaseeeeee
The association suggested by the two-way table is Those who like football tend to like baseball.
The relative frequency for each category can be calculated by dividing the count in each cell by the total count in the table.
For the "Likes Football" category:
Relative frequency of "Likes Football"
= 72 / 100 = 0.72
For the "Does Not Like Football" category:
Relative frequency of "Does Not Like Football"
= 28 / 100 = 0.28
For the "Likes Baseball" category:
Relative frequency of "Likes Baseball"
= 54 / 100 = 0.54
For the "Does Not Like Baseball" category:
Relative frequency of "Does Not Like Baseball"
= 46 / 100 = 0.46
Therefore, the correct association suggested by the two-way table is Those who like football tend to like baseball.
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2*2*2*2*2*2*2*2*2*2
Answer:
=2×2×2×2×2×2×2×2×2×2
=1024
there are ten 2 so the answer is 1024
Step-by-step explanation:
Answer:
1024
Step-by-step explanation:
What is an equation of the line that passes through the point ( − 6 , − 2 ) (−6,−2) and is parallel to the line 3 x − 2 y = 2 ?
Answer:
Step-by-step explanation:
let's rearrange the equation 3 x − 2 y = 2 a bit. (isolate y)
3x - 2 /2 = 2y /2
(3x-2)/2 = y
\(\frac{3}{2} x\) - 1 = y
The slope for the equation is 3/2.
Rule: Parallel lines have the same slope
So we know that the slope of the line we need to find is 3/2.
y = mx +b
y = (3/2)(x) + b
Now plug in the point (-6,-2) to find b
-2 = (3/2)(-6) + b
-2 = -9 + b
-2 + 9 = -9 + b + 9
7 = b
b = 7
Therefore the equation of the line we need to find: y = \(\frac{3}{2}x + 7\)
a garbage bag has a thickness of 0.8 mil, which is eual to 0.0008 inch. What fraction of an inch is this
Answer:
> 1/1,250
Step-by-step explanation:
Convert the decimal value into the fraction by determining the placement value of the decimal.
> 0.0008 = 8/10,000
Since it’s in the ten-thousandths place, this’ll be the denominator. Now, after you’ve done that, reduce the fraction until it is simplified completely.
> 8/10,000 = 1/1,250
Your overall or simplified fraction should be 1/1,250
Which one of the following statements is not true concerning PivotTables in Excel? O a. PivotTables are also known as crosstabulation tables. b. PivotTables summarize data for two variables. c.PivotTables can be built using data arrayed in rows. d. PivotTables are interactive.
The statement that is not true concerning PivotTables in Excel is b. PivotTables summarize data for two variables. PivotTables can summarize data for multiple variables, not just two.
PivotTables allow you to analyze and summarize data from various perspectives, including multiple variables, by grouping, filtering, and calculating values based on different criteria. They provide flexibility in summarizing and organizing data in a tabular format, making it easier to extract insights and perform data analysis efficiently.
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What is 3gh 2 x 4g 3h 3
Answer:
(3•22g4h5)
Step-by-step explanation:
Step 1: ((3gh2 • 4) • g3) • h3
Step 2: ((3•22gh2) • g3) • h3
Step 3: 3.1 h2 multiplied by h3 = h(2 + 3) = h5
Final answer: (3•22g4h5)
(IF THIS HELPED PLEASE GIVE BRAINLIEST OR RATE IT 5 STARS!)
Add or subtract the following fractions. write your answer in simplest form.
-3/7 + 1/4
multiply the following fractions. write in simplest form.
7/10×5/3 =>
-7/2 × 12 =>
A log is 16 m long, correct to the nearest metre. It has to be cut into fence posts which must be 70 cm long, correct to the nearest 10
What is the largest number of fence posts that can possibly be cut from the log?
The largest number of fence post that can possibly be cut from the log is 23.8( nearest tenth)
What is word problem?A word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.
For us to know the number of fence post that can be obtained from the log, we need to convert the length of the log into cm
Therefore;
1m = 100cm
16m = 16× 100 = 1600 cm
Therefore the maximum number of fence post that can be obtained is
1600/70 = 160/7
= 23.8 ( nearest tenth)
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(7+√5)√5-(7+√5)7 how to solve this question
Answer:
-44
Step-by-step explanation:
Using distribute property of multiplication
=> \(7\sqrt{5} + (\sqrt{5} )^2-49-7\sqrt{5}\)
(\(7\sqrt{5}\) will be cancelled with each other)
=> 5 - 49
=> -44
what is the probability that a student has a gpa under 2.0 given that he or she has skipped many classes?
The probability that a student has a GPA under 2.0 given that he has skipped many classes is 8/11.
From the table we see that,
The student who have a GPA under 2.0 = 80
The student who has skipped many classes = 80 + 25 + 5
The student who has skipped many classes = 110
Hence, the probability that a student has a GPA under 2.0 given that he has skipped many classes = The student who have a GPA under 2.0/The student who has skipped many classes
The probability that a student has a GPA under 2.0 given that he has skipped many classes = 80/110
The probability that a student has a GPA under 2.0 given that he has skipped many classes = 8/11
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The complete question is:
One thousand students at a city high school were classified both according to GPA and whether or not they consistently skipped classes.
What is the probability that a student has a GPA under 2.0 given that he has skipped many classes?
A. 0.080
B. 0.281
C. 0.285
D. 0.314
E. 0.727
The charity gala costs $5.17 for every attendee. How many attendees can there be, at most, if the budget for the charity gala is $77.55?
Answer:
15 people are able to be at the charity gala because 77:55 divided by 5:17.
Jacob is buying pizza dough at the store to make pizzas for his family.
For every 15 pizza doughs he buys, he pays $20.
What is the price per pizza dough?
Answer: $1.33
This can be worked out as a simple algebra problem: 15x=20, x being 1 pizza dough. In order to find the value of one pizza dough (x) you need to isolate it. To do that, divide 15 from both sides and you'll be left with x=1.33
15x=20
/15 /15
x=1.33
You roll two number cubes.
Let event A = You roll an even number on the first cube.
Let event B = You roll a 4 on the second cube.
Are the events independent or dependent? Why?
O A. Dependent, because 4 is an even number.
B. Independent, because the outcome of the first roll doesn't affect
the outcome of the second roll.
C. Independent, because they have no outcomes in common.
O D. Dependent, because both cubes have six sides.
Answer:
B) Independent, because the first cube being an even number cannot affect the second cube being 4.
Even if the first cube was a odd number,
that wouldn't have mathematically changed anything about the second cube's outcome.
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