Answer:
m=2
Step-by-step explanation:
Answer:
\(m=2\)
Step-by-step explanation:
\(-7+4m+10=15-2m\)
Isolate the variable m. Combine like terms (-7+10):
\(3+4m=15-2m\)
Subtract 3 from both sides (inverse operations):
\(3-3+4m=15-3-2m\\\\4m=12-2m\)
Add 2m to both sides (inverse operations):
\(4m+2m=12-2m+2m\\\\6m=12\)
Divide both sides by 6 to isolate m (inverse operations):
\(\frac{6m}{6} =\frac{12}{6} \\\\m=2\)
Since this cannot be further simplified, m is equal to 2.
:Done
(04. 03 LC)
What point on the number line is
of the way from the point -7 to the point 17?
The point that is one-fifth of the way from -7 to 17 on the number line is -2.2.
To find the point that is one-fifth of the way from -7 to 17 on the number line, we can use the concept of finding a fraction of a distance between two points.
The distance between -7 and 17 is:
17 - (-7) = 24
One-fifth of this distance is:
(1/5) × 24 = 4.8
Starting from -7, we can add 4.8 to find the point that is one-fifth of the way from -7 to 17:
-7 + 4.8 = -2.2
Therefore, the location of the point is -2.2.
Learn more about the number line here:
https://brainly.com/question/29048443
#SPJ12
The complete question is as follows:
What point on the number line is one-fifth of the way from the point −7 to the point 17?
f'(x) = 4f(x) and f(0) = 10
Answer:f(x)=10e^4x
Step-by-step explanation:
f(x)=C*e^4x
f(0)=c*e^4.0
10=C*e^4.0
10=C
f(x)=C*e^kx
f(x)=C*e^4x
SOMEBODY HELP PLEASE! ACME Hardware is introducing a new product called Greener Cleaner. Complete the table by finding the cost per milliliter for each size based on the sales price. One liter is 1,000 milliliters. (Answer the questions too, please!)
Answer:
Kindly check explanation
Step-by-step explanation:
SMALL SIZE :
AMOUNT OF LIQUID = 250 milliliters
Sales price = $4.50
Cost per milliliter :
Sales price / amount of liquid
$4.50 / 250 = $0.018
MEDIUM SIZE :
AMOUNT OF LIQUID = 500 milliliters
Sales price = $9.95
Cost per milliliter :
Sales price / amount of liquid
$9.95 / 500 = $0.0199
= $0.020 ( 3 decimal places)
LARGE SIZE :
AMOUNT OF LIQUID = 1 LITRE = 1000 milliliters
Sales price = $16.95
Cost per milliliter :
Sales price / amount of liquid
$16.95 / 500 = $0.0199
= $0.01695
= $0.017 ( 3 decimal places)
A) LARGE < SMALL < MEDIUM
B) LEAST EXPENSIVE WAY TO BUY 1500 milliliters of green cleaner :
1 large size + 2 small sizes
$16.95 + 2($4.50)
$16.95 + $9.00
= $25.95
C.) MOST EXPENSIVE WAY TO BUY 1500 milliliters of green cleaner :
3 medium sizes
3 * ($9.95)
$29.85
0 myopenmath.com Chapter 1 Quiz Score: 0/300 3/30 answered Progress saved Submit and End (El 15' 0
Question 12 v < > B 10 pts '0 1 (D Details For the function f(:(:) = 69: + 2, evaluate and simplify the
difference quotient. [: Check Answer
The difference quotient for the function f(x) = 69x + 2 is a constant value of 69. This means that the average rate of change of the function over any interval is always 69.
To evaluate and simplify the difference quotient for the function f(x) = 69x + 2, we first need to understand what the difference quotient represents. The difference quotient is a mathematical expression that measures the average rate of change of a function over a given interval. It is defined as:
[f(x + h) - f(x)] / h,
where h represents a small change in the x-values.
Let's proceed with calculating the difference quotient for the given function:
[f(x + h) - f(x)] / h
= [(69(x + h) + 2) - (69x + 2)] / h
= [69x + 69h + 2 - 69x - 2] / h
= (69h) / h
= 69.
To simplify the expression, we used the distributive property to expand the function f(x + h). Then, we simplified the numerator by combining like terms. The constant terms 2 and -2 canceled each other out. The h term in the numerator can be factored out, which allows us to cancel it out with the h term in the denominator. Finally, we are left with the simplified expression of 69.
To know more about Average Rate, visit
https://brainly.com/question/29989951
#SPJ11
Determine the product of the binomial -5x-7 and the trinomial
3x2-4x-5. To earn full credit, show your work using a method explained in
the Orientation
Answer:
\(( - 5x - 7)(3 {x}^{2} - 4x - 5) \\ \\ - 15 {x}^{3} + 20 {x}^{2} + 25x - 21 {x}^{2} + 28x + 35 \\ \\ - 15 {x}^{3} + 20 {x}^{2} - 21 {x}^{2} + 25x + 28x + 35 \\ \\ = - 15 {x}^{3} - {x}^{2} + 53x + 35\)
I hope I helped you^_^
8) A bowl has four different color balls.
The ratio of orange balls to red balls is 3:7
and the ratio of green balls to yellow balls is
9:21. Are the ratios of orange balls to red
balls and green balls to yellow balls
proportional?
BC IF YOU MULIPLY 3X3=9 AND 7X3=21 so yes its is proprational
Step-by-step explanation:
Hope you have a good day :D
Which expression is equivalent to 9 + 9x + 9y? a 9(x + y) b 27(x + y) 9(1 + x + y) d 27(1 + x + y)
Answer:
that one
Step-by-step explanation:
Answer:
9(1 + x + y)
Step-by-step explanation:
The equation corresponds because of the distributive property.
What type of variable is the number of customers in line at the bank in a 24 hour period? qualitative continuous attribute discrete
The number of customers waiting in line at the bank over a 24-hour period is a discrete variable type.
By discrete variable, what do you mean?A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. when triple coins are turned, the count of heads. The number of pupils, kids, the shoe size, and so forth are some typical examples of discrete data. A statistical variable is referred to as a discrete variable if it presupposes a finite collection of data and a countable number of values. Contrarily, a continuous variable is a quantitative variable that accepts an endless quantity of data and an uncountable number of values.
To learn more about discrete variables, click here:
https://brainly.com/question/13339063
#SPJ4
A 1.8m long ladder rests against a vertical wall. The ladder makes an angle of 23 degrees with the wall. How high up the wall does the ladder go
Given:-
A 1.8m long ladder rests against a vertical wall. The ladder makes an angle of 23 degrees with the wall.
To find How high up the wall does the ladder go.
So now we use the formula,
\(\cos \theta=\frac{\text{adjacentside}}{\text{hypotneus}}\)So now we substitute the known values. so we get,
\(\cos 23=\frac{x}{1.8}\)So now we simplify. so we get,
\(\begin{gathered} x=\cos 23\times1.8 \\ x=0.920\times1.8 \\ x=1.656 \end{gathered}\)So the required height is 1.65m
In triangle ABC AB is equals to AB and Angle B equal to 80 find the angle A
Answer:
∠A = 20°
Step-by-step explanation:
Given:
Line AB equal to line AC
So, we can say that;
∠B = ∠C
So
∠B = ∠C = 80°
Using angle sum rule
∠A + ∠B + ∠C = 180°
∠A + 80° + 80° = 180°
∠A = 20°
the diagram below shows three positions, a, b, and c, in the swing of a pendulum, released from rest at point a. [neglect friction.] which statement is true about this swinging pendulum?
Based on the information provided and considering the terms "pendulum" "positions a, b, and c," and "neglect friction," the true statement about the swinging pendulum is:
At position A, the pendulum has maximum potential energy and no kinetic energy. As it swings towards position B, its potential energy decreases while its kinetic energy increases. At position B, the pendulum has maximum kinetic energy and minimum potential energy. Then, as it moves towards position C, the kinetic energy decreases while the potential energy increases. At position C, it has the same potential energy as at position A, and the cycle repeats.
Potential energy is the energy possessed by an object due to its position or configuration relative to other objects. It is a form of stored energy that has the potential to be converted into other forms of energy and do work.
In the case of an object in a gravitational field, such as a pendulum, potential energy is associated with its vertical position above a reference point, often the ground. The higher the object is lifted, the greater its potential energy. The two most common forms of potential energy are gravitational potential energy and elastic potential energy.
To know more about gravitational potential energy, visit:
https://brainly.com/question/3910603
#SPJ11
Diego took a 20 question quiz and earned a 75% on it.
Answer:
He got 5 questions wrong so he scored a 75%
Step-by-step explanation:
I hope this helps :)
Answer:
15 questions correct
Step-by-step explanation:
So you know that Diego took a 20 question quiz and got 75% on it so you have to find 75% of 20. 75% is also 3/4, so 3/4x20=60/4=15. Therefore, he got 15 questions correct.
Hope this helps
the sample mean salary of 500 nba players is 5 million dollars. we also know that the population standard deviation is 0.7 million dollars. we want to construct a confidence interval for population mean with 95% confidence. what will be the length of our confidence interval (in terms of million dollars)?
The length of our confidence interval (in terms of million dollars) is (4.9412,5.0588)
A 95% confidence interval on the z-table is 1.96.
Now find the standard error using the formula: standard deviation / square root sample size:
0.7 / √500 = 0.03
Multiply to the confidence interval: 1.96 x 0.03 = 0.0588
Now add and subtract the average salary of the nba players:
5.0000 - 0.0588 = 4.9412(million dollar)
5.0000 + 0.0588 = 5.0588(million dollar)
The answer is 4.9412 ≤ u ≤ 5.0588(million dollar)
To Learn more about length of confidence interval question:
https://brainly.com/question/13029066
#SPJ4
What is the volume of a hemisphere that has a diameter of 12.6 cm, to the nearest tenth of a cubic centimeter?
1. a survey of 200 adults in the u.s. found that 76% regularly wear seat belts while driving. true or false: 76% is a parameter. 2. true or false: the checking account numbers of customers at a bank represent quantitative data. 3. determine whether the quantitative variable is continuous or discrete. the time (in minutes) required for a student to complete a
1. A survey of 200 adults in the u.s. found that 76% regularly wear seat belts while driving. 76% is a parameter. [FALSE]
2. The checking account numbers of customers at a bank represent quantitative data. [FALSE]
3. The quantitative variable is continuous.
Kinds of Research DataIn accordance with the types of variables in the research, so is the case with the data in the research which differs in several types, namely:
Data from discrete variables is called discrete data in the form of frequency Data from continuum variables are called continuum data in the form of levels, distance numbers or sizes.For researchers who want to process data with statistical data, the data used is in the form of quantitative data, namely in the form of numbers. In connection with the quantitative (calculation) process research data is classified into 4 types, namely nominal data, ordinal data, interval data, ratio data.
Also classifies data into 2, namely qualitative data and quantitative data.
Qualitative DataQualitative data is data related to categorization or grouping in the form of questions or words. For example, the tree is shady, the sea is deep and so on. The data is usually obtained from interviews which are subjective because many people interpret them.
Quantitative DataQuantitative data is data related to numbers. For example, 125 people who were accepted as civil servants, A company income was 2 billion / year and so on. This data is objective (can be interpreted the same by everyone) and is obtained from direct measurements or by converting qualitative data into quantitative data.
Learn more about quantitative data at https://brainly.com/question/1716144.
#SPJ4
Calculate the Mean of the following values: 3, -5, 6, 5, -4
Answer:
1
Step-by-step explanation:
Add all values / the number of values
Researchers at a medical center studied the amount of caffeine, in milligrams (mg), contained in a 16-ounce cup of coffee made at one machine at the center's cafeteria. They selected a random sample of 40 16-ounce cups of coffee made at different times of the day during a one-month period. The mean and standard deviation of the amount of caffeine in the sample were 159.88 mg and 36.72 mg, respectively. A graph of the sample data revealed a night skew with one outlier. The researchers will construct a confidence interval to estimate the amount of caffeine for all 16 ounce cups made at the machine
Which of the following conditions is not needed for the inference?
A)The samples were selected at random
B)The observations are independent of one another.
C)The sample size of 40 is less than 10% of the population size
D) The graph of the sample data is symmetric with no outliers
The sample size is large enough to assume that the sampling distribution of sample means is approximately normal
The condition that is not needed for the inference in this case is D) The graph of the sample data is symmetric with no outliers.
While it is generally desirable to have a symmetric distribution without outliers for making statistical inferences, it is not a necessary condition. The central limit theorem states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution, as long as certain conditions are met (such as random sampling and independence of observations). Therefore, the shape of the sample data distribution and the presence of outliers do not affect the validity of constructing a confidence interval based on the sample mean.
However, the condition that is not needed for the inference is D) The graph of the sample data is symmetric with no outliers. While a symmetric distribution without outliers can make it easier to construct a confidence interval, it is not a necessary condition for inference. The other conditions listed (random sampling, independence, sample size less than 10% of population size, and a large enough sample size) are all necessary for inference.
To learn more about symmetric distribution
https://brainly.com/question/30068353
#SPJ11
An integration bee has 4 participants. how many possible finishes (that is who finishes 1st, 2nd, 3rd, 4th) if ties are possible?
There are 24 possible finishes in the integration bee with ties allowed.
In an integration bee with 4 participants, we need to determine the number of possible finishes for the participants, considering that ties are possible.
To calculate the number of possible finishes, we can use the concept of permutations. Since there are 4 participants, we have 4 choices for the first-place finisher. Once the first-place finisher is determined, there are 3 remaining participants to choose from for the second-place finisher. Similarly, there are 2 remaining participants for the third-place finisher, and only 1 participant left for the fourth-place finisher.
Therefore, the number of possible finishes can be calculated as:
4 choices for the first-place finisher × 3 choices for the second-place finisher × 2 choices for the third-place finisher × 1 choice for the fourth-place finisher
This equals 4 × 3 × 2 × 1 = 24 possible finishes.
Hence, there are 24 possible finishes if ties are allowed in the integration bee.
For more questions on integration
https://brainly.com/question/30215870
#SPJ8
Nicholas was receiving rental payments of $3,000 at the beginning of every month from the tenants of her commercial property. What would be the value of her property in the market if she wants to sell it, assuming a market capitalization rate of 5.75% compounded annually? Round to the nearest cent
The value of Nicholas' property in the market, considering a market capitalization rate of 5.75% compounded annually, is approximately $346,581.15 rounded to the nearest cent.
To calculate the value of Nicholas' property in the market, we need to determine the present value of the rental payments using the market capitalization rate of 5.75% compounded annually.
The value of Nicholas' property can be calculated using the formula for present value of an annuity:
PV = P * (1 - (1 + r)^(-n)) / r,
where PV is the present value, P is the periodic payment, r is the interest rate per period, and n is the number of periods.
In this case, the periodic payment is $3,000 per month, the interest rate is 5.75% (or 0.0575) per year, and we need to calculate the present value over the entire holding period of the property.
To convert the interest rate to a monthly rate, we divide it by 12. So, the monthly interest rate is 0.0575 / 12 = 0.0047917.
Next, we need to determine the number of periods. Assuming Nicholas plans to hold the property for a certain number of years, we multiply the number of years by 12 to get the number of months.
Let's say Nicholas plans to hold the property for 10 years. The number of periods would be 10 * 12 = 120.
Plugging the values into the formula, we have:
PV = 3000 * (1 - (1 + 0.0047917)^(-120)) / 0.0047917.
Evaluating this expression, we find that the present value of the rental payments is approximately $346,581.15.
Therefore, the value of Nicholas' property in the market would be approximately $346,581.15 rounded to the nearest cent.
To learn more about present value click here: brainly.com/question/14860893
#SPJ11
(y-7) = 5х+4
can someone please solve that for me !
Answer: Sure, Y = 5x + 11
Step-by-step explanation:
you only need to add 7 to both sides once you take them out of the ( ).
Answer:
y = 5x+11
Step-by-step explanation:
(y-7) = 5х+4
y-7 + 7= 5x + 4 + 7
y= 5x+11
Last year Anthony earned $24,000. After a brief lay-off this year, Anthony’s income is $18,500.
A.
30% increase
B.
30% decrease
C.
23% increase
D.
23% decrease
Tenemos tres tipos de aceites, 5000 l de aceite tipo A, 2500 l de aceite tipo B y 245 l de aceite tipo C. Si los quiero envasar en recipientes de igual capacidad y los mas grandes posibles, ¿cuántos recipientes necesito?
Answer:
5 liters.Step-by-step explanation:
To solve this problem, we need to find the Greatest Common Factor (GCF) which is the greater factor possible in common for all three numbers 5000, 2500 and 245 liters.
5,000 | 2
2,500 | 2
1,250 | 2
625 | 5
125 | 5
25 | 5
5 | 5
1
So, \(5,000 = 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 5\), \(2,500 = 2 \times 2 \times 5 \times 5 \times 5 \times 5\)
245 | 5
49 | 7
7 | 7
1
\(245 = 5 \times 7 \times 7\)
As you can observe, the greatest common factor is 5, because it's the greater number in common for all three numbers.
Therefore, the greatest recipient possible must be 5 liters capacity.
A pet store donated a percent of every sale to charity . The total sales were $7,380 so they store donated $369. What percent of $7,380 was donated to charity ?
The percentage of the total sales that was donated to charity would be = 5%
How to calculate the percentage used for donations?Percentage of a value is defined as the representation of a part of the who value per 100 with the use of the symbol %.
The total sales that was realised from the pet store = $7,380.
The total amount that was donated by the store to charity = $369
The percentage of $7,380 that was donated;
= 369/7380× 100/1
= 36900/7380
= 5%
Therefore the percentage of $7,380 that was donated would be = 5%.
Learn more about percentage here:
https://brainly.com/question/24339661
#SPJ1
What is the solution to 12x=4x ²+9?
Answer:
1 1/2
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answer: The correct answer is C.
Step-by-step explanation: Divide 15 and 6. That'll give you 6.5. Therefore, the correct answer is C.
Answer:
The answer is C 2.5
Step-by-step explanation:
Because u have to divide 15 by 6
Help
Me please please
The average rate of change is $22.50 per class
The total amount for 5 classes is $117.5The first class is $27.50 due to the studio charging $5 as the registration fee How to determine the average rate of changeThe table of values represent the given parameter
The average rate of change is calculated as
Rate = Change in T(c)/Corresponding change in c
So, we have
Rate = (50 - 27.50)/(2 - 1)
Rate = 22.50
The total amount for 5 classesWe start by calculating the function from
T(c) = mc + b
Where
m = Rate = 22.50
So, we have
T(c) = 22.5c + b
Using the points, we have
22.5 * 1 + b = 27.50
So, we have
b = 5
So, we have
T(c) = 22.5c + 5
For 5 classes, we have
T(5) = 22.5 * 5 + 5
T(5) = 117.5
Why the first class is 27.50The first class is 27.50 because the studio charges a registration fee of $5
Read more about linear function at
https://brainly.com/question/4025726
#SPJ1
x intercepts of the function y=x* -7 +10
Answer:
about 1.4
Step-by-step explanation:
expression is equivalent to 7.659
The formula (7 + 6/10 + 5/100 + 9/1000) is equivalents to 7.659.
To get an expression that equals 7.659, we can use a variety of mathematical procedures and integers. Here's one possible phrase:
(7 + 6/10 + 5/100 + 9/1000)
In this formula, we divide the number 7.659 into four parts: 7 (the whole number component), 6 (the tenths place digit), 5 (the hundredths place digit), and 9 (the thousandths place digit).
We utilise the place value of each digit to transform these digits to fractions. The digit 6 denotes 6/10, the digit 5 denotes 5/100, and the digit 9 denotes 9/1000.
By multiplying these fractions by the whole number 7, we get the following expression:
7 + 6/10 + 5/100 + 9/1000
Let us now simplify this expression:7 + 0.6 + 0.05 + 0.009
The result of the addition is:
7 + 0.6 + 0.05 + 0.009 = 7.659
Since 7.659 is the result of the formula (7 + 6/10 + 5/100 + 9/1000), it follows that 7.659.
For more question on equivalent visit:
https://brainly.com/question/2972832
#SPJ8
A teacher wants to test the effectiveness of two
different math textbooks. She divides her class
into two groups. One group studies out of
textbook A and the other out of textbook B. At
the end of the year she tests both groups to
see which one scores higher. This is an
example of
Answer: an experiment
Answer:
The answer is B
Acellus Sux
Step-by-step explanation:
to factorize the following algebraic expression: 3x² + 6x + 4x + 8 Provide a three-step guide on how to factorize the expression.
Answer:
Check below:
Step-by-step explanation:
To factorize the algebraic expression 3x² + 6x + 4x + 8, you can follow these three steps:
Step 1: Grouping
Group the terms in pairs so that you can factor out a common factor from each pair.
3x² + 6x + 4x + 8
(3x² + 6x) + (4x + 8)
Step 2: Factoring out the common factors
Factor out the common factors from each pair separately.
3x(x + 2) + 4(x + 2)
Step 3: Factoring out the common factor from the resulting expression
Notice that we have a common factor, (x + 2), in both terms.
(x + 2)(3x + 4)
Therefore, the factored form of the expression 3x² + 6x + 4x + 8 is (x + 2)(3x + 4).
Mark me brainliest!