We can factorize the expression
\(x^2-2x-15\)finding two number that the result by adding them is -2 and by multiplying the same two number obtain -15
-5+3=-2
(-5)*(3)=-15
the numbers are -5 and 3
\(x^2-2x-15=(x+3)(x-5)\)Carns Company is considering eliminating its Small Tools Division, which reported a loss for the prior year of $205,000 as shown below. Segment Income (Loss) Sales $ 1,430,000 Variable costs 1,295,000 Contribution margin 135,000 Fixed costs 340,000 Income (loss) $ (205,000) If the Small Tools Division is dropped, all of its variable costs are avoidable, and $119,000 of its fixed costs are avoidable. The impact on Carns’s income from eliminating the Small Tools Division would be: Multiple Choice
The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.
To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.
The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.
To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:
Impact on income = Loss - Avoidable costs
Impact on income = $205,000 - ($1,295,000 + $119,000)
Impact on income = $205,000 - $1,414,000
Impact on income = -$1,209,000
The negative sign indicates a decrease in income.
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Question 1 of 10
Simplify the following expression.
3x^4+2x³-5x² +4x²+6x-2x-3x^4 +7x^5-3x³
Combining like terms yields 7x⁵ - x³ - x² + 4x.
I WILL GIVE BRAINLEST AND 60 POINTS I KNOW ITS NOT ALOT
Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.
2. How many times did Melanie run ½ a mile?
Answer:
Melanie and 2 times ½ a mile
Hopes This helps
PLS HELP PICTURE HERE AS WELL
Answers:
1. -2y^3+9y-3y-16
2. 14x^3-23x^2+19x-24
Hi!
I'm really sorry but I'm not sure how to solve these equations however I have searched online and this is what it has said. I hope it is what you are looking for! I have attached screenshots of the working out above in order of each question. You may want to double check but the first two are for the first question and second two are for the second question.
consider the triangle
Help help help plzzzz
Answer:
2.5824 × 10⁶
204/5.3 = 38.49056. Round to 38.49
Step-by-step explanation:
scientific notation
1.20 × 2.152 = 2.5824.
Answer:
1. 2.58
2. 39
Step-by-step explanation:
Hey guys back again ,
If you have any doubt in maths you can ask
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
h(p) =
p − 4 /
p^2 + 5
The critical points of the given function are p = 2 ± √13.
What are functions?A relation between a collection of inputs and outputs is known as a function.
A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Each function has a range, codomain, and domain.
Critical function:
The key points are locations inside the function's domain where the function's nature changes.
The function stops increasing or decreasing at these places.
The function is: \(h(p)=\frac{p-2}{p^2+9}\)
The derivative test will be applied here:
\(\begin{aligned}& \therefore h^{\prime}(p)=0 \\& \Rightarrow \frac{d}{d p}\left(\frac{p-2}{p^2+9}\right)=0 \\& \Rightarrow \frac{\frac{d}{d p}(p-2)\left(p^2+9\right)-\frac{d}{d p}\left(p^2+9\right)(p-2)}{\left(p^2+9\right)^2}=0 \\& \Rightarrow \frac{1 \cdot\left(p^2+9\right)-2 p(p-2)}{\left(p^2+9\right)^2}=0 \\& \Rightarrow \frac{-p^2+4 p+9}{\left(p^2+9\right)^2}=0 \\& \Rightarrow-p^2+4 p+9=0\end{aligned}\)
Then,
\(\begin{aligned}& \Rightarrow p_{1,2}=\frac{-4 \pm \sqrt{4^2-4(-1) 9}}{2(-1)} \\& \Rightarrow p_{1,2}=\frac{-4 \pm \sqrt{52}}{-2} \\& \Rightarrow p_{1,2}=-\frac{-4 \pm \sqrt{52}}{2} \\& \Rightarrow p_{1,2}=-\frac{-4 \pm 2 \sqrt{13}}{2} \\& \Rightarrow p_{1,2}=2 \pm \sqrt{13}\end{aligned}\)
Therefore, the critical points of the given function are p = 2 ± √13.
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A circle with radius of 9 cm sits inside iſ circle with radius of 11 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth
Answer:
Step-by-step explanation:
it is two left night
11.
(a) a radius 10.00
(bla diameter 17.5cm
2. Find the area in hectares of a rectangular piece of land
1.25km by 0.75km.
Answer:
Step-by-step explanation:
1.25 km × 0.75 km = 0.9375 km²
1 km = 100 hectares
0.9375 km² = 93.75 hectares²
Select the type of equations.
equivalent
inconsistent
consistent
Answer:
the answer is inconsistent hope this help :)
Step-by-step explanation:
About 2% of the population has a particular genetic mutation. 500 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 500.
Using the binomial distribution, it is found that the mean for the number of people with the genetic mutation in such groups of 500 is of 10.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, we have that:
About 2% of the population has a particular genetic mutation, hence p = 0.02.500 people are randomly selected, hence n = 500.Then, the mean is given by:
E(X) = np = 500 x 0.02 = 10
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2.8(g − 6) + 1.06 = 6.66
G= ?
Answer:
g = 8
Step-by-step explanation:
Hello!
We can solve for g by isolating the variable.
Solve for g2.8(g - 6) + 1.06 = 6.662.8g -16.8 + 1.06 = 6.66 => Distribute2.8g - 15.74 = 6.66 => Simply LHS2.8g = 22.4 => Add 15.74g = 8 => Divide by 2.8The value of g is 8.
Answer:
\( \sf \: g = 8\)
Step-by-step explanation:
Now we have to,
→ find the required value of g.
The equation is,
→ 2.8(g - 6) + 1.06 = 6.66
Then the value of g will be,
→ 2.8(g - 6) + 1.06 = 6.66
→ 2.8g - 16.8 = 6.66 - 1.06
→ 2.8g - 16.8 = 5.6
→ 2.8g = 5.6 + 16.8
→ g = (22.4)/(2.8)
→ [ g = 8 ]
Hence, the value of g is 8.
at a baseball game a vender sold a combined total of 141 sodas and hot dogs. the number of sodas was 51 more than the number of hotdogs sold. Find the number of sodas sold and the number of hot dogs sold
what is the remainder of 58,511 divided by 21, the quotient is 2,786 R
Answer:
the remainder is 5. 2,786 R 5
Can someone answer this just read the picture? Right answers only please!
Answer:
6 + 40 *3 = 126
Step-by-step explanation:
first is 6 and you add 3 in every step
Answer:
126 smileys
Step-by-step explanation:
\(a_{1} =\) First term
= 6
\(d =\) Common difference
= 3
\(n =\) \(n^{th} term\)
= Step number
Arithmetic sequence will be applied:
\(a_{n} = a_{1} + (n - 1)d\)
For n = 2:
\(a_{2} = 6 + (2 - 1)(3)\)
\(= 6 + (1)(3)\)
\(= 9\)
For n = 3:
\(a_{3} = 6 + (3-1)(3)\)
\(= 6 + (2)(3)\)
\(= 6 + 6\)
\(= 12\)
∴For n = 41:
\(a_{41} = 6 + (41 - 1)(3)\)
\(= 6 + (40)(3)\)
\(= 6 + 120\)
\(= 126\)
∴There will be 126 smiley faces in Step 41
HELP PLEASE will mark brainliest
Eighteen middle-aged women with platelet readings between 120,000 platelets per microliter and 150,000 platelets per microliter of blood were selected randomly from the population of similar female patients at a large local hospital. Nine of the 18 women were assigned randomly to group A and received a placebo. The other nine women were assigned to group B and received a new platelet drug. After four months, posttreatment platelet readings were taken for all 18 women and were compared with pretreatment readings. The reduction in platelet level (Pretreatment reading − Posttreatment reading) for each woman in the study is shown here.
Group A (placebo) increase (in platelets per microliter): 2,000, 5,000, 7,050, 10,125, 12,345, 17,350, 13,250, 12,200, 9,125
Group B (platelet drug) increase (platelets per microliter): 28,450, 23,438, 36,380, 12,450, 16,100, 21,350, 39,400, 41,000, 14,325
Create and interpret a 95% confidence interval for the difference in the placebo and the new drug.
The blood platelet count is an illustration of normal distribution,
Approximately 95% of the data lies within 2 standard deviations of the mean.
There are approximately 99.7% of women with platelet count between 65.2 and 431.8.
Given parameters are:
μ = 248.5
σ = 61.1
(a) The percentage within 2 standard deviation of mean or between 126.3 and 370.7,
Start by calculating the z-score, when x = 126.3 and x = 370.7
Z = x-μ / σ
Therefore,
Z = 126.3-248.5/61.1
Z = -2
Also,
Z = 370.7-248.5/61.1
Z = 2
The empirical rule states that:
Approximately 95% of the data lies within 2 standard deviations of the mean.
Hence, there are approximately 95% of women with platelet count within 2 standard deviations of the mean.
(b) The percentage with platelet count between 65.2 and 431.8
Start by calculating the z-score, when x = 65.2 and x = 431.8
Z = 65.2-248.5/61.1
Z = -3
And,
Z = 431.8-248.5/61.1
Z = 3
The empirical rule states that:
Approximately 99.7% of the data lies within 3 standard deviations of the mean.
Hence, there are approximately 99.7% of women with platelet count between 65.2 and 431.8.
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The length of a rectangle is six times its width. If the rectangle is 600 yd^2 find its perimeter
Answer:
8400 yd^2
Step-by-step explanation:
600x 6 because its six times
3600
L+L+W+W=p
8400 yd ^2
A swimming pool is 260m long and 140m wide if 54600 cubic meters of water is pumped into it. Then find the height of the water level.
The pοοl's water elevatiοn is rοughly 1.93 metres high.
What exactly is vοlume?A three-dimensiοnal οbject's vοlume, which is expressed in cubic units, indicates hοw much space it takes up. The symbοls fοr cubic quantities are litre and in3. Hοwever, the bulk οf an item can be used tο determine its measurements. The weight οf the οbject is typically cοnverted intο mass measurements like grams and kilοs.
Here,
We already knοw the pοοl's length and breadth, but we still need tο determine its height.
Additiοnally, we are aware οf the amοunt οf water pumped intο the pοοl, which we can adjust tο be the same as the pοοl's vοlume:
=> 260 × 140 x height = 54600
When we sοlve fοr height, we οbtain:
=> height = 54600/ (260 x 140)
=> size is 1.93 metres (rοunded tο twο decimal places)
This means that the pοοl's water elevatiοn is rοughly 1.93 metres high.
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Please help on this math question!!!
Does the graph represent a function? Why or why not ?
Answer:
A.
Step-by-step explanation:
The vertical line test is a way of finding out if a relation is a function.
Graph the relation.
Then imagine a vertical line moving from left to right over the graph of the relation.
If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.
This function passes the vertical test since it never intersects more than one point on the vertical line at a time.
Answer: A.
What is the common difference in the arithmetic sequence 30, 27, 24, 21, 18, ...?
Answer:
common difference is 3 you take each number from left to rifht and subtract so thr answer is 15
Which expression has the same value as 9- (-7)9−(−7)?
Answer:
I d need help on same question
Step-by-step explanation:
Which situation is best represented by this equation?
35 + 4x = 47
A researcher wants to know how homeowners in her state feel about home warranties. She obtains a list of 879 homeowners in her state, selects 300 of them at random, and emails a questionnaire to them. 64 questionnaires are returned. Of these, 80% stated that they believe that the current home warranty coverage needs to be completely overhauled. Classify the following groups as the population or the sample for this particular study.
a. all homeowners in the researcher's state
b. The 879 homeowners whose names were obtained
c. The 64 homeowners who returned the questionnaire
d. The 80% who stated that the current home warranty coverage needs to be completely overhauled
Answer:
a. The population
b. The accessible population
c. The sample
d. The statistic
Step-by-step explanation:
a. All the homeowners in the researchers state = The target population
b. The 879 homeowners whose name were obtained = The sample frame (accessible population)
c. The 64 homeowners who returned the questionnaire = Research participants (the sample), the subjects
d. The 80% who stated that the current home warranty coverage needs to be completely overhauled = The statistic (subset or part of the sample)
Hewo Pls Answer the questions below TY!
Answer:
dont worry if people report you for a answer that is not right lol trust me i know
Step-by-step explanation:
which inequality is true p=3.4
uhhh...p=3.4 is already simplified.
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hope it helps???
Sally bought 1.4 kilograms of bananas for AED 7.35 $ a kilo. How many kilograms
of apples sold at 10.20 $ per kilogram should you buy so that the kilogram of fruit
costs 8.15 $
You should buy approximately 1.067 kilograms of apples at $10.20 per kilogram in order to have the kilogram of fruit cost $8.15.
Let's assume that Sally bought x kilograms of apples at $10.20 per kilogram.
The total cost of bananas is given as AED 7.35 per kilogram, and Sally bought 1.4 kilograms of bananas. So, the cost of the bananas is:
Cost of bananas = AED 7.35 * 1.4 = AED 10.29
The total cost of apples is given by the equation:
Cost of apples = $10.20 * x
The total cost of the fruits combined should be AED 8.15 per kilogram. So, the equation becomes:
Total cost of fruits = (Cost of bananas + Cost of apples) / (1.4 + x) = AED 8.15
Substituting the known values, we have:
(10.29 + 10.20 * x) / (1.4 + x) = 8.15
Cross-multiplying and simplifying, we get:
10.29 + 10.20 * x = 8.15 * (1.4 + x)
Expanding the equation, we have:
10.29 + 10.20 * x = 11.41 + 8.15 * x
Rearranging the equation, we get:
10.20 * x - 8.15 * x = 11.41 - 10.29
1.05 * x = 1.12
Dividing both sides by 1.05, we find:
x = 1.12 / 1.05
x ≈ 1.067
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Answer the following. Solve for X
Answer:
x = 7
Step-by-step explanation:
\(3+16x = 6x+8+65\\3+16x=6x+73\\10x=70\\x=7\)
Vector v = (2,1). What operation has been performed on v to result in the vector that is shown?
The operation that has been performed on v to result in the vector that is shown is multiplication by -1.
How to explain the vectorThe vector that is shown is (-2, -1). This can be obtained from vector v = (2, 1) by multiplying it by -1. Multiplying a vector by a negative number reverses its direction.
Multiplication of a vector by a number is performed component-wise. This means that each component of the vector is multiplied by the number. In the case of (-1) * (2, 1), each component is multiplied by -1. This results in the vector (-2, -1).
Here is the mathematical equation:
(-1) * (2, 1) = (-2, -1)
Therefore, the operation that has been performed on v to result in the vector that is shown is multiplication by -1.
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