Answer:
Option C, [tex]36x^2 + 60x + 25[/tex]
Step-by-step explanation:
Step 1: Determine the perfect square
According to online, "When an expression has the general form a²+2ab+b², then we can factor it as (a+b)². For example, x²+10x+25 can be factored as (x+5)². This method is based on the pattern (a+b)²=a²+2ab+b², which can be verified by expanding the parentheses in (a+b)(a+b)"
The only one that seems to work is Option C so lets factor it.
[tex]36x^2 + 60x + 25[/tex]
[tex](6x + 5)(6x + 5)[/tex]
[tex](6x + 5)^2[/tex]
Yup! We can see that Option C would give us a perfect square
Answer: Option C, [tex]36x^2 + 60x + 25[/tex]
A university class has 22 students: 3 are nursing majors, 9 are psychology majors, and 10 are business majors. (Each student has only one of these majors.) The professor is planning to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that the first student selected is a nursing major and the second student is a business major?
Answer:
27/462
OR
.058
Step-by-step explanation:
the probability that the first student, selected at random, is a nursing student is 3/22.
the probability that the second student, selected at random from the remaining students, is an accounting major is 9/21.
the probability the first student chosen is a nursing student and the second student chosen is an accounting major is therefore 3/22 * 9/21 = 27/462.
Giving Brainliest to who can solve!
Answer:
NF = 16
Step-by-step explanation:
Since N is the incenter of ΔABC then ND = NE = NF
ND = NE ⇔ 6x - 2 = 3x + 7 ⇔ 6x - 3x = 7 + 2 ⇔ 3x = 9 ⇔ x = 3
Now , we calculate ND:
ND = 6(3) - 2 = 18 - 2 = 16
and because NF = ND then NF is also equal to 16
Graph the solution to the following system of inequalities. y > -2x+7, y ≤ 3x-8
The solution to the system of inequalities y > -2x+7, y ≤ 3x-8 is the set of points ( (x,y) pairs ) in the intersection of the regions these inequalities are true for, as shown in the graph by the intersection of the blue and red colors.
What are system of inequalities?When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalties.
A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.
How to draw regions covered by inequalities?Suppose there is inequality given as: y ≥ f(x)
The region it covers is the region of value pairs (x,y) for which this inequality holds true.
We've to draw the region covered by it.
For a function y = f(x), there is y > f(x) on one side of the graph of the function y = f(x) in XY plane, and on other side there is y < f(x).
We just need to figure out this fact at 1 point on either side of the graph of the function y = f(x) , and then the area where y > f(x) is true, along with the curve of the function y = f(x) is included in the region covered by inequality y ≥ f(x)
For this case, the inequalities given are:
y > -2x+7, y ≤ 3x-8
Their solution is the points lying in the intersection of the regions these inequalities are true for, as shown in the graph by the intersection of the blue and red colors.
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Landon and Colin bought 1/3 pound of strawberries. They are sharing the strawberries equally.
each person will receive ?
pound of strawberries.
Answer:
1/6
Step-by-step explanation:
1/3 divided by 2
Pasadena Candle Inc. projected sales of 58,000 candles for January. The estimated January 1 inventory is 2,900 units, and the desired January 31 inventory is 6,000 units.
Prepare a production budget report in units for Pasadena Candle Inc. For those boxes in which you must enter subtracted or negative numbers use a minus sign.
Pasadena Candle Inc.
Production Budget
For the Month Ending January 31
- Select -
- Select -
Total units available fill in the blank 5
- Select -
Total units to be produced in January fill in the blank 8
The total units that will be produced by Pasadena Candle Inc. based on the projected sales given will be 49100 units
How to calculate the units?Expected unit to be sold = 58000
Desired ending inventory = 6000
Total units available = 52000
Less: Estimated beginning inventory = 2900
Total units to be produced = 49100
In conclusion, the total units will be 49100.
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CAN SOMEBODY HELP ME PLEASE IM STUCK
Answer:
Step-by-step explanation:
To find the vertex from the given table look when the values of x or y start to switch the pattern. For example look at y value they get lower and lower 15,8,3,0,-1 then they get greater and greater 0, 3,8,15,24,...
So the he vertex is at (-2, -1) because here is where the pattern changed.
Y-intercept of the parabola is where the parabola intersects the y-axis so the x must be 0 there. Look in the table where is x=0 and see is at y=3.
Y-intercept point is at (0, 3)
X-intercept of the parabola is where the parabola intersects the x-axis so the y must be 0 there. Look in the table where is y = 0 and see is at x= -1 and also at x= -3.
X-intercept points are at (-1, 0) and (-3, 0)
Equation of the parabola in factored form is in general
y= (x- x intercept1)(x- x intercept 2), and for our problem is:
y = (x +1)(x +3)
The equation for the axis of symmetry is x = -2 because we have a vertical parabola (since x is squared in the equation) and the vertex is as we said previously at (-2, -1).
Lin's puppy is gaining weight at a rate of 0.125 pound per day. Describe the weight gain in days per pound. The weight gain would be days per pound
Answer:
8 days per 1 pound
Step-by-step explanation:
Using the calculator enter 1 divided by .125
Thats all :)
Eric and Erica have $5.40 between the two of them. If you double the amount of money Eric has and halve the amount Erica has, then they would have the same amount of money. How much money does Eric have?
Answer:
$1.08
Step-by-step explanation:
Use a system of equations. Let x represent eric's money and y represent erica's money.
x+y=5.40
2x=1/2y
Let's solve for y in the second equation and substitute it into the first.
Double both sides.
4x=y
Substitute
x+4x=5.40
5x=5.40
Divide by 5
x=$1.08
So eric has $1.08
Length (in) of shoe box
Solve the equation please I need help
Answer:
refrence attached
Step-by-step explanation:
hope it helps you<3PLEASE HELP
An account has $325 and earns 4.5% interest. How much will the account be worth after 5 years using simple interest. Remember, money has 2 decimal
places.
Answer:
$398.13
Step-by-step explanation:
1 Naomi planted 6 rows
of corn plants in her
garden. Each row had 16
plants. A hailstorm
destroyed 9 of the plants.
How many plants were
NOT destroyed by the
hailstorm?
Answer:
87 plants
Step-by-step explanation:
6 x 16 = 96 - 9 = 87
A simple random sample of 100 8th graders at a large suburban middle school indicated that 83% of them are involved with some type of after school activity. Find the 99% confidence interval that estimates the proportion of them that are involved in an after school activity. a) (0.733, 0.927) b) (0.653, 0.927) c) (0.633, 0.877) d) (0.783, 0.788) e) (0.733, 0.727) f) None of the above
Using the z-distribution, as we are working with a proportion, the 99% confidence interval is given by:
a) (0.733, 0.927).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The other parameters are p = 0.83, n = 100, hence the bounds of the interval are given as follows.
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.83 - 2.575\sqrt{\frac{0.83(0.17)}{100}} = 0.733[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.83 + 2.575\sqrt{\frac{0.83(0.17)}{100}} = 0.927[/tex]
Hence option a is correct.
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14 of 15
14.A bag contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag? Explain your reasoning.
can someone help me pleace for 10 points
Answer:6
Step-by-step explanation:
Look at the number 16 on the y side and then go to the dot that is on the 16 line then go all the way down and look at the number of people.
The set of second coordinates in a relation is called
What is second set of coordinate called?
The range of the relation is the set of all possible second coordinates.
Answer:
The set of first coordinates of all the ordered pairs in a relation is called the domain of that relation. Similarly the set of the second coordinates(also called as images) of all the ordered pairs in a relation is called the range of that relation.
Step-by-step explanation:
hope:)
Put fractions from least to greatest order. 7/16, 1/2, 3/8, 9/32,5/15, 15/32?
Answer:
9/32 , 5/15 , 3/8 , 7/16 , 15/32 , 1/2
Step-by-step explanation:
Callie surveyed 50 people leaving the supermarket about the type of food they like. The table below shows the relative frequency
of the rows.
Does Not
Like Italian
Total
Like Italian
Like Chinese
1.00
Does Not
0.35
1.00
Like Chinese
Total
1.00
0.4
0.6
0.65
0.5
0.5
Based on this information, complete the two-way table below.
Like Italian
Does Not
Like Italian
Total
30
Like Chinese
Does Not
Like Chinese
Total
20
25
25
50
Reset
Submit
O 2022 Edmentum. All rights reserved
Answer:
left to right
12 18
13 7
Step-by-step explanation:
i got it wrong for the answer
Which equation is correct?
A. cos x = 1/sin x
B. tan x = 1/csc x
C. cot x = 1/sec x
D. sec x = 1/cos x
Answer: D
Step-by-step explanation:
By definition, sec x = 1/cosx.
Answer:
B
Step-by-step explanation:
Which statements are true about the median? Check all that apply.
Put the values in numerical order before trying to find the median.
Median is a number that is much lower or much higher than the rest of the numbers.
The median is always greatly impacted by outliers.
The median is the number in the middle of an ordered set of values.
The median must be calculated by finding the mean of the two middle points when there is an even number of data points.
Answer:
the correct answers are: put the values in numerical order before trying to find the median
the median is the number in the middle of an ordered set of values
Step-by-step explanation:
if i am wrong, im sorry but to my knowlage these are correct.
i hope this helped<33
Answer: A D E
Step-by-step explanation:
help 10 points
and Braineist
Z + 43 = a straight line which needs to equal 180 degrees.
Z = 180 - 43 = 137
answer: z = 137 degrees
Answer:
so we know that 43 and y are congruent so y = 43.
we also know that y + x has to equal 180
so
180 - 43 = 137
so x is 137. We also know that z and x are congruent, so therefore z is 137.
Step-by-step explanation:
Which statement is true for debit cards
Answer: There are no answer choices but an example of a true statement would be that spending on a debit card will NOT count towards your credit score.
Step-by-step explanation:
please say the answer step by step
2(10-4)2square+8
A pair of shoes was originally priced at 100. The store owner gives a discount discount, and the shoes are now priced at 60
Answer:
i think there was a discount of 40
Step-by-step explanation:
Answer:
The answer is: 40% Off Discount
Step-by-step explanation:
$100 - $60 = 40%
What is 3^8*3^3/3^2 simplified?
Answer:
6561*27/9
Step-by-step explanation:
3^8=6561
6561*27=177,147
177,147/9=19,683
In quadrilateral ABCD, angle A is 80 degrees, angle B is 90 degrees, and angle D is 100 degrees. What is the measure of angle C?
Answer:
The answer is 105 degrees
Step-by-step explanation:
What is the image point of (-4, 2) after a translationm left 2 units and up 3 units?
Answer:
(-6,5)
Step-by-step explanation:
left 2 = x-2
up 3= y+3
Emily waited in line for the StarCraft video game for 3 hours. If the line was only moving 2 1⁄4 feet per hour, how far did Emily move in the line?
feet
I will give you brainliest if you answer correctly
Answer:
answer is 3 9/4
Step-by-step explanation:
Trust me I am in 12th grade and make straight A;s
Reread the problem described in Question 10.5 on page 191.What form should H0 and H1 take if the investigator is concerned only about salary discrimination against female members? If this hypothesis test supports the conclusion of salary discrimination against female members, a costly class-action suit will be initiated against American colleges and universities. Under these circumstances, do you recommend using the .05 or the .01 level of significance? Why?
The form that the null and alternative hypothesis should take if the investigator is concerned only about salary discrimination include U = $82000 and U < $82000.
How to explain the hypothesis?The alternative hypothesis is the claim of the test. Here, the investigator wants to test whether the average salary of females is less than $82500.
Assuming the hypothesis test supports the conclusion of salary discrimination against female members, the 0.01 level of significance will be recommended.
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A bakery sold 224 chocolate cupcakes in a day, which was 56% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Hence, 440 cupcakes were sold on that day.
The bakery sold a total of 400 cupcakes that day, with 224 of them being chocolate cupcakes, representing 56 precent of the total.
Use the concept of percentage defined as:
A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred.
Given that,
A bakery sold 224 chocolate cupcakes in a day.
The 224 chocolate cupcakes represent 56% of the total number of cupcakes sold that day.
To find the total number of cupcakes sold,
Use the percentage given and some simple math.
If 56% of the cupcakes sold were chocolate cupcakes and that amounts to 224 cupcakes,
Set up the following equation:
0.56 x Total number of cupcakes = 224 cupcakes
To find the total number of cupcakes,
Divide both sides of the equation by 0.56:
Total number of cupcakes = 224 cupcakes / 0.56
Calculating this,
The bakery sold a total of 400 cupcakes that day.
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