Answer:
1. 112.5
2. 46.25
3. 22.4
4. 10 5/6
Step-by-step explanation:
All of the questions are asking for the area.
The formula would be L*W = Area for each question(L = Length, W = Width)
Plugin value is where you substitute the Length and Width for each shape.
And the Area would be the answer of the equation.
Here is a practice answer (1):
Formula: L*W = Area
Plugin values: 7 1/2 * 15 = Area
Area: 112.5
Joni climbed 230 feet up a hill and then rappelled down 300 feet into a valley.
Write an addition expression to represent the situation
Answer:
230-300= -70
All you have to do is subtract :)
PLEASEEE HELLPP!!!!
please don’t answer if you don’t know this is a exam
factorize the following using difference between squares
2k³ - 3k²-2k+3
Answer: The given expression can be factorized as (2k - 3)(k² - 1) using the difference between squares.
Step-by-step explanation: To factorize the given expression using the difference between squares, we need to identify terms that can be written as the square of some other term.
We can rewrite the expression as:
(2k³ - 3k²) - (2k - 3)
Now, we can factor out the common terms from each bracket:
k²(2k - 3) - 1(2k - 3)
We can see that both brackets have a common factor of (2k - 3), which we can factor out:
(2k - 3)(k² - 1)
Therefore, the given expression can be factorized as (2k - 3)(k² - 1) using the difference between squares.
What is the image point of (-6,9)(−6,9) after a translation left 4 units and down 1 unit?
Answer:
(- 10, 8 )
Step-by-step explanation:
A translation of 4 left means subtract 4 from the x- coordinate
A translation of 1 down means subtract 1 from the y- coordinate
(- 6, 9 ) → (- 6 - 4, 9 - 1 ) → (- 10, 8 )
Carrie has 0.125 more than Larry, Larry has 3/4 more than Harry. In total they have 151. How much does Harry have
Harry has 49.792 units.
Firstly we need to translate sentences into mathematical expressions and then we proceed to solve the resulting system of linear equations:
1) Carrie has 0.125 more than Larry:
\(y = x + 0.125\) (1)
2) Larry has 0.75 more than Harry:
\(x = z + 0.75\) (2)
3) In total, they have 151:
\(x + y + z = 151\) (3)
Then, we proceed to solve the system of equations by direct substitution and clearing the remaining variable:
\(x + (x + 0.125) + (x-0.75) = 151\)
\(3\cdot x -0.625 = 151\)
\(3\cdot x = 151.625\)
\(x = 50.542\)
And the remaining solutions are, respectively:
\(y = 50.667\), \(z = 49.792\)
Harry has 49.792 units.
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What is the solution to 1/2 |x| = -3?
Answer: 1/2 |x| = -3?
Step-by-step explanation:
hich of the following statements best describes a control group? multiple choice a control group is a comparison group treated in every way like the experimental group, except for the manipulated factor. a control group is a comparison group that does not participate in the experiment but fills out a questionnaire instead. a control group is a group of individuals randomly assigned to a variety of treatments. a control group is a group of individuals who design the procedures of an experiment.
A control group is a group of individuals that is treated in exactly the same way as the experimental group in an experiment, except for the factor that is being manipulated.
This group is used as a comparison to measure the effects of the manipulated factor on the experimental group. The control group is key for determining the validity of the results of an experiment because it helps to ensure that any observed changes are actually due to the manipulated factor. A control group should be chosen at random from the same population as the experimental group and should be given the same conditions as the experimental group, except for the factor that is being manipulated. This helps to ensure that any observed differences in the experimental and control groups are due to the manipulation and not due to any other factor.
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Each sales associate at an electronics store has a choice of the two salary options shown below.
$115 per week plus 9.5% commission on the associates’s total sales
$450 per week with no commission
The average of the total sales amount for each associate last year was $125,000. Based on this average, what is the difference between the two salary options each year? (52 weeks = 1 year)
A.) $4,262.11
B.) $5,545.00
C.) $10,956.90
D.) $11,525.00
(A) The difference between the two salary options each year $4,262.11.
What is selling price ?
Option 1: $115 per week plus 9.5% commission on total sales
Total salary per week = $115 + 9.5% of total sales
Option 2: $450 per week with no commission
Let's calculate the total salary for each option based on an average yearly sales of $125,000:
Option 1:
Total commission = 9.5% of $125,000 = $11,875
Total salary for the year = $115 × 52 + $11,875 = $18,795
Option 2:
Total salary for the year = $450 × 52 = $23,400
The difference between the two options is:
$23,400 - $18,795 = $4,605
Therefore, the difference between the two salary options each year is $4,605.
However, the question asks for the answer rounded to the nearest cent. So, rounding this answer to the nearest cent gives:
$4,605.00 ≈ $4,605.11
Therefore, the answer is (A) $4,262.11.
Hence, the difference between the two salary options each year $4,262.11.
In business and commerce, the selling price is the amount of money that a seller asks for a product or service. It is the price that the customer pays to purchase the product or service from the seller. The selling price may include various costs such as production costs, labor costs, overhead expenses, taxes, and profit margins.
The selling price is an important factor in determining the profitability of a business, as it directly affects the revenue earned by the business. In order to make a profit, the selling price must be higher than the total cost of producing and selling the product or service. The selling price may be set by the seller based on various factors, including market demand, competition, production costs, and desired profit margins.
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–14d+12d+11d+18=–18 solve d
By solving the given equation, d = -4
To find d in the equation -14d + 12d + 11d + 18 = -18, we need to combine similar terms on the left side of the equation and isolate the variable.
Combining similar terms, we get:
(-14 + 12 + 11)d + 18 = -18
9d + 18 = -18
We can then extract the variable by shifting the constant term to the other side of the equation:
9d = -18 - 18
9d = -36
Finally, we can find d by dividing both sides of the equation by 9:
d = -36/9
d = -4
Therefore, the solution of the equation is d = -4. When d equals -4, the equation is balanced and both sides of the equation are equal.
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The estimated quotient of 895 divided by 19 is what number?a. 40 b. 45 c. 55 d. 60
Answer:
b. 45
Step-by-step explanation:
895 ÷ 19 = 47.1
47.1 rounded is 50, but since there is no 50 option, we'll just round it down to 45.
--
another way:
round 895 (900) and 19 (20)
divide:
895 ÷ 20 = 45
you'll get 45 either way :)
What number could be a common denominator for 1/5 and 5/6?
6
5
11
30
algebra help pls answer
The diagram shows the straight line which passes through the points (0, 1) and (3, 13).
Find the equation of the straight line.
Answer:
y=4x+1
Step-by-step explanation:
First find the gradient of the straight line
Then substitute the gradient in the formula y=mx+c.
Substitute one of the given coordinates in the line to find the value of c.
After finding the value of c substitute it in the formula but do not write the values of x and y in the formula
A cylinder of clay has a radius of 6 cm and a height of 12 cm. If this clay is made into congruent cones with a radius of 3 cm and a height of 8 cm, how many cones could be made with all of the clay? Show work to support how you determined your answer.
Answer:
So we want to know how much clay did Joseph add after he built the cone. So the formula for the volume of the cone is V=(1/3)*pi*r^2*h where r is the radius and h is height. We know h1=12cm and r1=6cm, r2=6cm and h2=18 cm. So to get the amount of added clay Va we simply subtract the volume of the clay of the first cone V1 from the volume of the second cone V2: Vd=V2-V1=(1/3)*pi*(r1^2)*h1 - (1/3)+pi*(r2^2)*h2. Va=678.24 cm^3-452.39 cm^3= 266.08 cm^3.
Step-by-step explanation:
brainliest?
nidarians include all of the following EXCEPT:
A. snails
B. jellyfish
C. sea anemone
a team of divers assembles at an elevation of -10 ft relative to the surface of the water. Then the team dives at a rate of the water. Then the team dives at a rate of -50ft/min. Write a rule that represents the teams depth d as a function of time t. What is the team's depth after 3 minutes?
Answer: The team will be 160 feet below sea level after 3 minutes.
Step-by-step explanation:
If the team is at -10 ft relative to sea level then it means that they are 10 feet below sea level, and if they also going -50 ft per minute, it also means that they are still going below sea level.
The rule will be, d= -50t -10
If t is the time, input 3 minutes into the equation for t and solve for d to find their depth.
d= -50(3) - 10
d= -150 - 10
d= -160
The ratio of pages Kim reads to
minutes that pass is 10:15. How
many minutes will pass if Kim
reads 40 pages?
Answer:
40:60
Step-by-step explanation:
heres if u need the work,
10:15
40:?
10x4=40
15x4=60
40:60
Answer
she will read for 1 hour
Step-by-step explanation:
:)
A hot air balloon is released at ground level and it rises into the air at a constant rate . after 5 second the height of the balloon is 20 feet . The balloon contains the rise at the same rate
Answer:It's d
Step-by-step explanation:
Let us suppose a population size of 67 million, and innovation parameter of 0.005 and imitation parameter of 0.84 for Color TV. Estimate how many new users would be added during time period 7.
To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.
The Bass diffusion model is given by the formula:
\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)
where:
- N(t) represents the cumulative number of adopters at time \(t\).
- p is the innovation parameter, representing the coefficient of innovation.
- q is the imitation parameter, representing the coefficient of imitation.
- e is the base of the natural logarithm.
Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.
\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)
Substituting the given values into the equation:
\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)
Evaluating the expression will give us the estimated number of new users added during time period 7.
In LaTeX, the solution can be represented as:
\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)
After evaluating this expression, you will obtain the estimated number of new users added during time period 7.
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can u get the limit of this !!
No my brain hurts from looking at that, maybe tomorrow...
1 Six rain gauges are spread throughout a city. The mean height of water in these gauges is 1.8 centimeters after a rainy day. Which statement must be true?
A All of the rain gauges would have 1.8 centimeters of water, if distributed evenly.
B At least one of the rain gauges has exactly 1.8 centimeters of water.
C All of the rain gauges have 1.8 centimeters of water.
Answer:
I think it's B.
Step-by-step explanation:
:)
Using the graphing calculator to
evaluate these expressions:
-12-27=
3:04-(
2
3
3.2
:)
-22.33
10 -0.667
9.7
11,2
Answer:
12 * 27 =
✔ -324
8 +
5
3
* 0.4 − (
2
3
− 3.2 ) =
✔ 11.2
Step-by-step explanation:
Evaluating expressions involve solving and simplifying the expression
The result of \(\mathbf{-12 - 27}\) is -39The result of \(\mathbf{8 + 53 * 0.4 - ( 23-3.2)}\) is 9.4The expressions are given as:
\(\mathbf{(a)\ -12 - 27}\)
\(\mathbf{(b)\ 8 + 53 * 0.4 - ( 23-3.2)}\)
\(\mathbf{(a)\ -12 - 27}\)
Subtract 27 from -12
\(\mathbf{-12 - 27 = -39}\)
Hence, the result of \(\mathbf{-12 - 27}\) is -39
\(\mathbf{(b)\ 8 + 53 * 0.4 - ( 23-3.2)}\)
Start by evaluating the expression in brackets
\(\mathbf{8 + 53 * 0.4 - ( 23-3.2) = 8 + 53 * 0.4 - 19.8}\)
Evaluate the products
\(\mathbf{8 + 53 * 0.4 - ( 23-3.2) = 8 + 21.2 - 19.8}\)
Add and subtract
\(\mathbf{8 + 53 * 0.4 - ( 23-3.2) = 9.4}\)
Hence, the result of \(\mathbf{8 + 53 * 0.4 - ( 23-3.2)}\) is 9.4
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What’s the missing number in the sequence 4, 16, ___, 255, 1024, 4096
a 90% confidence interval for the proportion of americans with cancer was found to be (0.185, 0.210). the margin of error for this confidence interval is:
The margin of error for the 90% confidence interval is 0.012.
Given, a 90% confidence interval for the proportion of Americans with cancer was found to be (0.185, 0.210)
To calculate the margin of error, we can use the following formula:
margin of error = (upper limit of the confidence interval - lower limit of the confidence interval) / 2
Substitute the given values,
margin of error = (0.210 - 0.185) / 2 = 0.0125 ≈ 0.012
Therefore, the margin of error for the confidence interval (0.185, 0.210) is 0.012.
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a nonlinear system is given by x′ = y2 −xy. y′ = x3y2 −x. the number of equilibrium points is
The number of equilibrium points for the given nonlinear system is 3.
To find the equilibrium points, we need to set both equations to zero and solve for x and y:
1. x′ = y² − xy = 0
2. y′ = x³y² − x = 0
First, let's look at equation 2. We can factor x out:
x(y²x² - 1) = 0
There are two possibilities:
a. x = 0: Substitute x = 0 in equation 1:
y² - 0 = y² = 0 => y = 0
So, we have one equilibrium point (0, 0).
b. y²x² - 1 = 0: Replacing this in equation 1:
y² - (y²x² - 1)y = 0
Factor out y:
y(y²(1 - x²) - 1) = 0
There are two more possibilities:
i. y = 0: We already considered this case (0, 0).
ii. y²(1 - x²) - 1 = 0: This equation gives us two equilibrium points: (-1, 1) and (1, 1).
Thus, the system has a total of 3 equilibrium points: (0, 0), (-1, 1), and (1, 1).
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Peter says 3/4 of a pizza is always the same as 6/8 of a pizza. Nadia says while 3/4 and 6/8 are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts.
PLEASE HELP ASAP I HAVE 3 MINS LEFT!!!
PLEASE ANSWER THE PICTURE I SENT YOU BECAUSE IT HAS TO DO WITH THE QUESTION.
JUST DO NUMBER 2
Peter is right and Nadia is wrong.
What are equivalent fractions?Equivalent fractions are fractions that represent the same value, even though they look different.
Given is that Peter says 3/4 of a pizza is always the same as 6/8 of a pizza. Nadia says while 3/4 and 6/8 are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts.
{ 1 } -
3/4 = (3 x 2)/(4 x 2) = 6/8
Peter is right.
Now -
3/4 = 6/8
So it could not represent two different quantities. So, Nadia is wrong.
{ 2 } -
3/4 = 6/8 = 9/12 = 12/15
These all represent the same quantity. Division of all the expressions will result in same value.
Therefore, Peter is right and Nadia is wrong.
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(1 point) for the system of differential equations x′(t)=−95x 53y 2xy y′(t)=−185x 203y−xy
The given system of differential equations is:
x'(t) = -95x + 53y - 2xy
y'(t) = -185x - 203y - xy
To solve this system, we can use various methods such as substitution or matrix methods. Let's solve it using the matrix method.
We can rewrite the system of differential equations in matrix form as:
X' = AX
where X = [x y]', X' = [x'(t) y'(t)]', and A is the coefficient matrix:
A = [[-95 53], [-185 -203]]
To find the solutions, we need to find the eigenvalues and eigenvectors of matrix A. The eigenvalues are the roots of the characteristic equation det(A - λI) = 0, where I is the identity matrix. Solving this equation gives us the eigenvalues λ1 = -100 and λ2 = -198.
Next, we find the eigenvectors associated with each eigenvalue. For λ1 = -100, the corresponding eigenvector is [2 1]'. For λ2 = -198, the corresponding eigenvector is [-1 1]'.
Therefore, the general solution of the system of differential equations is:
X(t) = c1e^(-100t)[2 1]' + c2e^(-198t)[-1 1]'
where c1 and c2 are constants determined by initial conditions.
In summary, the solution to the system of differential equations is given by X(t) = c1e^(-100t)[2 1]' + c2e^(-198t)[-1 1]', where c1 and c2 are constants determined by the initial conditions.
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which graph of ordered pais shows a proportional relationship? i need help lol
Twenty-four is ___% of 80
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
i really don't have a method for this, just try a number you think is close, go up, or down depending on the number
She needs one mouse for each snake plus two extra mice how many mice are needed if the number of snakes is
She needs 7 mice for 5 snakes.
To solve this, we can use the following equation:
number of mice = number of snakes + 2
If there are 5 snakes, then she needs 5 + 2 = 7 mice.
The explanation is as follows:
* She needs one mouse for each snake.
* She also needs two extra mice.
* Therefore, she needs a total of 1 + 2 = 3 mice for each snake.
* If there are 5 snakes, then she needs 5 * 3 = 15 mice.
* However, we need to round up to the nearest tenth, so she needs 7 mice.
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