Answer:
tells us the rate of change of y relative to x. If the slope is 2, then y is changing twice as fast as x; if the slope is 1/2, then y is changing half as fast as x, and so on.
Step-by-step explanation:
In other words, if the line is near vertical then y is changing very fast relative to x.
Mark what answer it is
4. The parents made pies for the school bake sale to pay for the next field trip.
They made 55 apple pies and 45 blueberry pies. How many pies did they make
altogether? Estimate first, then solve.
The total number of pies they made altogether is 100.
How many pies did they make altogether?
In order to determine this value, add the number of blueberry pies with the number of apple pies. Addition is the mathematical operation that is used to determine the sum of two or more numbers.
The total number of pies = 55 + 45 = 100 pies
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In 1993, the moose population in a park was measured to be 4100. By 1998, the population was measured again to be 3000. If the population continues to change linearly
there seems to be missing text
A boat is 10 miles away from a lighthouse that sits on top of a coral reef with a 4 mile radius. At what angle does the captain need to steer his boat so that he avoids the boat from colliding with the underwater coral? Round to the nearest tenth degree.
Answer:
n
Step-by-step explanation:
233
Hank is a plant manager for a company that produces bearings. He earns
$1,320 per week. What is his annual salary
Answer:
68,640 $
Step-by-step explanation:
by simply multiplying the sum he earns by one week with 52 which the number of weeks a year has you get the answer. now this answer does not consider the amount of off days he gets or other holidays!
2x-3(2x-3)+2=45 pls solve fully
Answer:
Step-by-step explanation:
2x*2x=4x^2
2x*3=6x
Keep in mind 4x^2-6x
then next part:
3*2x=6x
3*3=9
6x-9
So totally
(4x^2-6x)-(6x-9)
Minus and minus is equal to +
(4x^2-12x+9)+2=45
4x^2-12x+11=45
-11 on both sides
4x^2-12x=34
X= -17/-2
Step-by-step explanation:
2x-3(2x-3)+2=45
2x-6x+9+2=45
-4x=45-11
x=34/-4=-17/2
What quantity of 60% chlorine solution must be mixed with a 18% chlorine solution to produce 542.5 mL of 42% solution?
Answer: ___mL
The quantity of chlorine that has a 60% concentration is 310 ml.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given that, 60% chlorine solution must be mixed with an 18% chlorine solution to produce 542.5 mL of 42% solution
Let "x" be the quantity of chlorine that has a 60% concentration
So, the quantity of chlorine that has 18% concentration = 542.5 - x
thus, As per the given data expression formed as given below:
0.6 * x + 0.18 (542.5 - x) = 542.5 * 0.42
0.6x - 0.18x + 0.18 *542.5 = 542.5 *0.42
0.42x = 130.20
x = 310
therefore, the quantity of chlorine that has a 60% concentration is 310 ml.
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1. What is 0.078 written in expanded form
a) 7.0.1 +8 -0.01
b) 7.0.1 + 8 . 0.001
c) 7.0.01 +8 -0.01
d) 7.0.01 +8 -0.001
Answer:
7.8 x \(10^{-2}\)
Step-by-step explanation:
this is the real answer
It is known that 70% of the customers in a sporting goods store purchase a pair of running shoes. A random sample of 25 customers is selected. Assume that customers' purchases are made independently, and let X represent number of customers who purchase running shoes. Find the probability distribution of X. Group of answer choices Geometric distribution None of the given distributions Binomial distribution Hypergeometric distribution Negative Binomial distribution Poisson distribution
Answer:
Binomial distribution
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they purchase a pair of running shoes, or they do not. Customers' purchases are made independently. This means that the probability distribution of X is the binomial probability distribution.
Need help what is
4.7 × 10^-3 ___ 2^2
=
<
>
Exponents indicate the operation of raising power.
0.0047 is less than 4 so,
4.7 x \(10^{-3}\) < 2² is our answer.
What are exponents?The symbol written above and to the right of a mathematical expression indicating the operation of raising power is called exponents.
Example:
a² and b³
2 and 3 are exponents.
We have,
4.7 x \(10^{-3}\)
\(10^{-3}\) can be written as 1/ 10³ so,
= 4.7 x 1/10³
= 47/10 x 1/10³
= 47 / 10 x 10³
= 47 / \(10^{4}\)
= 47 / 10000
= 0.0047
2² = 2 x 2 = 4
We see that
0.0047 is less than 4
So,
4.7 x \(10^{-3}\) is less than 2²
Thus,
4.7 x \(10^{-3}\) < 2²
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A phone receives signals from a transmitter that is 13km west and 21km south of it. what is the bearing from the phone to the transmitter? give your answer to the nearest degree
The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.
To determine the bearing from the phone to the transmitter, we can use trigonometry.
The bearing is typically measured clockwise from the north direction.
Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.
The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.
Using the tangent function, we can calculate the angle:
tangent(angle) = (opposite side) / (adjacent side)
tangent(angle) = 21 km / 13 km
Taking the inverse tangent (arctan) of both sides, we find:
angle = arctan(21 km / 13 km)
Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.
However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:
bearing = 90 degrees - 58.57 degrees
Calculating this, we find the bearing to be approximately 31.43 degrees.
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40 POINTS In a region where 48% of the population is male, there are 11 boys and 14 girls in a sample of children. Find p and ρˆ (p-hat).
p =
ρˆ (p-hat) =
The values of p and ρˆ (p-hat) in the sample are
p = 0.48 and ρˆ (p-hat) = 0.44
How to determine the values of p and ρˆ (p-hat)?From the question, we have the following parameters that can be used in our computation:
Proportion of male = 48%
Boys = 11
Girls = 14
The proportion of male represents the variable p
So, we have
p = Proportion of male = 48%
This gives
p = 48%
Express as decimal
p = 0.48
The variable ρˆ (p-hat) is then calculated as
ρˆ = x/n
In this case,
x = Boys = 11
n = Boys + Girls = 11 + 14 = 25
So, we have
ρˆ = 11/25
Evaluate
ρˆ = 0.44
Hence, the values are 0.48 and 0.44, respectively
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josie walks 3/4 miles in 1/5 hour. what is josie’s speed in miles per hour
Answer:
Speed = 3.75 miles per hour.
Step-by-step explanation:
Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.
Mathematically, speed is given by the equation;
\(Speed = \frac{distance}{time}\)
\(S = \frac{d}{t}\)
Given the following data;
Distance, d = 3/4 miles
Time, t = 1/5 hour
Substituting into the equation, we have;
\(Speed, S= \frac{3/4}{1/5}\)
\(Speed, S = \frac{3}{4}*5\)
\(Speed, S = \frac{15}{4}\)
Speed, S = 3.75mph.
Therefore, Josie's speed is 3.75 miles per hour.
Please help thank youu
Answer:
2√73 or 17.09 inches
Step-by-step explanation:
The small red square at the corner of the triangle symbolizes that the triangle is a right triangle. Therefore, to find the hypotenuse of the triangle, we can use the Pythagorean Theorem: a² + b² = c²
a = 6
b = 16
c = ?
Plug these values into the equation.
(6)² + (16)² = c²
Evaluate the exponents.
36 + 256 = c²
292 = c²
Take the square root of both sides to find c.
√292 = √c²
17.09 ≈ c
This is your answer.
You can also simplify the radical without using decimals.
4 • 73 = 292
Therefore,
√4 • √73 = √292
Which also means,
2•√73 = √292
So your answer is: 2√73
Hope this helps!
Answer:
We use the pythagorean theorem a²+b²=c² and in this question
a = 6
and
b = 16
so
36 + 256 = c²
so
c² = 292 so now we take the square root of it to get \(\sqrt{292}\)
Hope this helps!
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
what is the acceleration of a baseball when its speed increases from 1 m/sec to 25 m/sec in 1 second?
Answer:
24 m/s²
Step-by-step explanation:
Acceleration is change in velocity over time.
a = Δv / Δt
a = (25 m/s − 1 m/s) / 1 s
a = 24 m/s²
2x² + 5x, what will it a Perfect Square? make
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color
Answer:
where is the practical table pic
Answer: 1:5.
Step-by-step explanation:
5x-11=19. Solve for x. Please explain how you got x
Answer:
x = 6
Step-by-step explanation:
5x - 11 = 19
+11 = +11
5x = 30
5x/5 = 30/5
x = 6
REVIEW OF ESSENTIAL SKILLS AND PROBLEM SOL
Examining a savings plan for college
David wants to attend a college that will cost $21,000 for the first year. His uncle gave him a special gift of $12,000 to use toward the cost. David plans to
attend the college in 5 years. How much must David save each month to have enough for the first-year cost?
5
Based on the above, David must save $150 each month to cover the money left over for his first year of college.
How to calculate what David's savings should be for the next 5 years for his first year of university?To calculate the savings that David must make monthly for the next 5 years we must carry out the following procedure:
His uncle gave him $12,000 so we must subtract this value from the total he needs.
$21,000 - $12,000 = $9,000So he must save $9,000 in 5 years.
$9,000 / 5 = $1,800$1,800 / 12 = $150According to the above, he must save $1,800 per year, so each month he should save $150.
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WILL MARK BRAINLEST
Examine the algebra tiles.
Which equation is being modeled?
4x + 3 = 4x + 5
–3x + (–3) = 4x + 5
4x + (–3) = 5x + 4
–3x + 4 = 5x + 4
Answer:
3rd one
Step-by-step explanation:
Answer:
4x + (–3) = 5x + 4
Step-by-step explanation:
right on edge
on a separate sheet of paper, sketch the rectangle for each problem using any method round and estimate to check your answer problem 1 5 x 4,751
The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.
The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.
2. 7 x 6000 = 42,000.
To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.
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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.
In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.
Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.
2. 7 x 6000 = 42,000.
We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.
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A company is selling toothpicks. It costs $0.03 to produce each toothpick and a fixed cost of
$120 a month for the company. If the company is selling toothpicks for $0.05 each, how
many toothpicks must they sell a month in order to break-even?
Answer:
2,400
Step-by-step explanation:
120÷0.05=2400
hope this helps
which expression is equivalent to -2(x+7)-45
Answer:
Step-by-step explanation:
What is the answer for 6(5x-3)
A satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million four hundred seventy two thousand one hundred plus y squared over forty four million two hundred twenty two thousand five hundred equals 1 comma where the distances are measured in km. The Earth shares the same center as the orbit. If the radius of the Earth is 6,370 km, what is the maximum distance between the satellite and the Earth?
The maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.
In the question, we are given that a satellite orbits the Earth with an elliptical orbit modeled by x squared over 47 million four hundred seventy two thousand one hundred plus y squared over forty four million two hundred twenty two thousand five hundred equals 1, where the distances are measured in km. The Earth shares the same center as the orbit.
We are asked to find the maximum distance between the satellite and the Earth if the radius of the Earth is 6,370 km.
Given elliptical form is:
x²/47,472,100 + y²/44,222,500 = 1,
or, x²/6,890² + y²/6,650² = 1.
The radius of the Earth, R = 6,370 km.
We know that the standard elliptical form is:
(x - h)²/a² + (y - k)²/b² = 1, Where, in a horizontal ellipse;
a = The major axis (the longer axis), which gives the maximum distance between the satellite and Earth.
b = The minor axis (the shorter axis).
On comparing the given elliptical form to the standard elliptical form, we get a = 6,890.
The distance between the satellite and the surface of the Earth, d, is given as follows:
d = a - R
Which gives;
d = 6,890 km - 6,370 km = 520 km.
Thus, the maximum distance between the earth and the satellite orbit with an elliptical orbit is 520 km.
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If 400 x 300 = 120,000
And 40 x 30 is 1,200
Fill in the blanks and show your work
*_____ x ______ = 12,000?
Answer:
this list
Step-by-step explanation:
1×12000=12000
2×6000=12000
3×4000=12000
4×3000=12000
5×2400=12000
6×2000=12000
8×1500=12000
10 ×1200=12000
12 ×1000=12000
Would really appreciate if someone helped me with this one please!
a) The value of x is 21
b) The value of the expression is 135.
c) The value of the expression is 135.
How to find the value of x?Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:
5*(x + 6) = 9*(x - 6)
We can solve that linear equation for x:
5x + 30 = 9x - 54
30 + 54 = 9x - 5x
84 = 4x
84/4 = x
21 = x
Then the measures of the angles are:
a1 = 5*(21 + 6) = 135°
a2 = 9*(21 - 6) = 135°
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pls help me
pls write method
add
1) 3x²+5x-8 ; 2x²-9x+9
2) 8xy+19-5x² ; 7x²-5+3xy
subtract
1) 9x²-5x+3xy-8 from 2x²-8x-4xy+9
Answer:
5x(squared)-4x+1
2x(squared)+11xy+14
7x(squared)+7xy+3x-17
Step-by-step explanation:
A delivery truck manager takes a sample of 25 delivery trucks and calculates the sample mean and sample standard deviation for the cost of operation. A 95% confidence interval for the population mean cost is constructed and found to be $253 to $320. He reasons that this interval contains the mean operating cost for the entire fleet of delivery trucks since the sample mean is contained in this interval.
Required:
a. Do you agree with his reasoning?
b. How would you interpret this confidence interval?
c. Is this an appropriate use of a confidence interval?
d. Concerning your answers to parts a through c, what assumptions did you make (if any)? Does the Central Limit Theorem apply? Why or why not?
e. How does this apply or could apply to your profession?
Answer:
a) No.
b) Lies between 253 and 320.
c) No.
d) Central limit theorem is not applicable here.
e) The process of estimation can always help us make the right prediction about future sales, demands, costs, profits, and so on based on the past data or any such data available and hence take the correct decision
Step-by-step explanation:
1) No I do not agree, it's just because the mean should be always within the confidence interval. in this case, the above statement doesn't satisfy the condition.
2)The true mean values at 95% confidence interval lies between 253 and 320.
3) No, because this is only used for the difference in mean. If there is a difference then the mean is different.
4) Central limit theorem is not applicable here. Since the sample size is very small, it better to use t distribution rather which indicated normal data.
in case the sample size is greater than 30, we can then apply the central limit theorem.
5) The process of estimation can always help us make the right prediction about future sales, demands, costs, profits, and so on based on the past data or any such data available and hence take the correct decision.