Answer:
BD=13
(This must not be drawn to scale)
Step-by-step explanation:
You have to use the Angle Bisector Theorem to get a ratio.
12/x=27/(x+5)
cross multiply
12(x+5)=27x
12x+60=27x
60=27x-12x
60=15x
60÷15=x
x=4
BD=x+x+5=4+4+5=13
A sales person makes $200 each week plus an additional $24 per sale. This sales person wants their weekly paycheck to be at least $500.Which inequality could be used to solve for how many sales () the sales person will have to make to reach or exceed their goal?
At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads and two sandwiches. The Donovan family pays $14 for a salad and three fruit bowls. What is the price of a fruit bowl at the cafe?
$2
$3
$4
$5
Answer:
$3
Step-by-step explanation:
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The graph of y=f(x) is graphed below. What is the end behavior of f(x)?
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Isabella sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
105 visitors purchased no costume.
41 visitors purchased exactly one costume.
8 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth.
The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.
The total number of visitors is 105 + 41 + 8 = 154.
The number of visitors who purchased one or more costumes is 41 + 8 = 49.
So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.
What polygon is formed by
joining the points
(1, −1), (4, −1), (−1, −3),
and (7, −3)?
Answer:
the polygon is a trapezoid
Step-by-step explanation:
(1, −1), (4, −1), the two points having the same y coordinate they make a horizontal line
(−1, −3), (7, −3) the two points having the same y coordinate they make another horizontal line
All horizontal lines are parallel.
The shape is a trapezoid because it has one pair of parallel lines.
What are the measures of x,y & z?
Answer:
x=33
y=57
z=80
Step-by-step explanation:
For x you take 90-57 because it is a right angle(90 degrees) and that equals 33
For y you say 180-(33+90) because 180 is the net area of a triangle and the answer is 57
For z you say 180-(43+57)
a rock found in a gold mine weighs 12 ounces.If it contains 14% gold, how many ounces of gold does the rock contain?
Answer: 1.68
Step-by-step explanation: Okay, to find this we need to use this formula:
Amount = Part percent * whole number / 100
So, now let's plug in the numbers:
Amount = 14 * 12 / 100
= 168/100
= 1.68
Therefore the amount of gold in the rock is 1.68 oz out of the 12 ounces.
I hope this helped!
Answer: 1.68
Step-by-step explanation: So, if we want to find how much gold is in the rock, it's a good idea to set up a proportion. So, it would be like this:
\(\frac{14}{100} = \frac{?}{12}\)
Now, we would cross-multiply the 12 and the 14, which is 168, and then divide it by 100. That can be found by moving the decimal 2 places left of 168.00. So, that would be 1.68. Therefore, there are 1.68 ounces of gold in the rock. I hope this helped!
Please help!
What the values of the expression?
A. 3
B. 12
C. 27
D.81
Answer:
D. 81
Step-by-step explanation:
I am in the same class as you, I took the quiz and the answer was 81
You have two strains of mice, one is inbred and the other is genetically heterogeneous. You examine weight differences for the mice when they are raised in the same environment. If the total variance for the inbred strain is 0.5 square ounces and total variance for the heterogeneous strain is 0.7 square ounces, what is the relative amount of variance due to genetic variation
This question is incomplete, the complete question is;
You have two strains of mice, one is inbred and the other is genetically heterogeneous. You examine weight differences for the mice when they are raised in the same environment. If the total variance for the inbred strain is 0.5 square ounces and total variance for the heterogeneous strain is 0.7 square ounces, what is the relative amount of variance due to genetic variation ?
Multiple Choice
A. 0.2 square ounces
B. 0.5 square ounces
C. 0.7 square ounces
D. 1.2 square ounces
Answer:
Option A) 0.2 square ounces is the correct answer
Step-by-step explanation:
Given that;
two strains of mice where raised in the environment and while one is inbred, the other is genetically heterogeneous.
The total variance for the inbred strain = 0.5 square ounces
total variance for the heterogeneous strain = 0.7 square ounces
relative amount of variance due to genetic variation = ?
The relative amount of variance due to genetic variation can be gotten by taking the difference of the total variance of both mice
so;
relative amount of variance due to genetic variation = variance for the heterogeneous strain - total variance for the inbred strain
we substitute our values
relative amount of variance due to genetic variation = 0.7 - 0.5
relative amount of variance due to genetic variation = 0.2 square ounces.
Therefore Option A) 0.2 square ounces is the correct answer
Which of the following statements with respect to political risk is true?
Oa. Political risk premiums are added to the required rate of return to adjust for political risks.
b. Companies cannot take any steps to reduce the potential from loss from expropriation since a foreign
government is involved.
Oc. The risk of expropriation of U.S. assets abroad is high even in traditionally friendly and stable countries.
Od. A company can reduce political risk by structuring operations so that the subsidiary has value only as a part of the
integrated corporate system.
whoever answers 5 starr review
Answer:
B
Step-by-step explanation:
PLEASE HELP!
I need help solving these problems.
1. When we simplify sec² x + tan² xsec² x, the result obtained is sec⁴x
2. When we simplify (sec² x - 1) / sin² x, the result obtained is sec² x
3. When we simplify (1/sec² x) + (1/csc² x), the result obtained is 1
4. When we simplify (sec x / sin x) - (sin x / cos x), the result obtained is cot x
5. When we simplify (1 + sin x)(1 - sin x), the result obtained is cos² x
6. When we simplify cos x + sin xtan x, the result obtained is sec x
How do i simplify the trig identities?We can simplify the trig identities as follow:
1. Simplification of sec² x + tan² xsec² x
sec² x + tan² xsec² x = sec² x(1 + tan² x)
Recall
sec² x = 1 + tan² x
Thus,
sec² x(1 + tan² x) = sec² x × sec² x
sec² x(1 + tan² x) = sec⁴x
Therefore, the simplified is written as
sec² x + tan² xsec² x = sec⁴x
2. Simplification of (sec² x - 1) / sin² x
(sec² x - 1) / sin² x
Recall,
sec² x - 1 = tan² x
Thus,
(sec² x - 1) / sin² x = tan² x / sin² x
Recall
tan² x = sin² x / cos² x
Thus,
tan² x / sin² x = (sin² x / cos² x) / sin² x
tan² x / sin² x = 1/ cos² x
Recall
1/ cos² x = sec² x
Therefore, the simplified expression is written as:
(sec² x - 1) / sin² x = sec² x
3. Simplification of (1/sec² x) + (1/csc² x)
(1/sec² x) + (1/csc² x)
Recall
sec² x = 1/cos² x
Thus,
cos² x = 1/sec² x
Also,
csc² x = 1/sin² x
Thus,
sin² x = 1/csc² x
Therefore, we have
(1/sec² x) + (1/csc² x) = cos² x + sin² x
Recall
cos² x + sin² x = 1
Thus, the simplified expression of (1/sec² x) + (1/csc² x) is:
(1/sec² x) + (1/csc² x) = 1
4. Simplification of (sec x / sin x) - (sin x / cos x)
(sec x / sin x) - (sin x / cos x) = (sec xcos x - sinx sinx) / sinx cos x
Recall
sec x = 1/cos x
sinx sinx = sin² x
Thus,
(sec x / sin x) - (sin x / cos x) = [(cos x/cos x) - sin² x] / sinx cos x
(sec x / sin x) - (sin x / cos x) = [1 - sin² x] / sinx cos x
Recall
1 - sin² x = cos² x
Thus, we have
[1 - sin² x] / sinx cos x = [cos² x] / sinx cos x
[1 - sin² x] / sinx cos x = cos x / sin x
Recall
cos x / sin x = cot x
Thus, the simplified expression of (sec x / sin x) - (sin x / cos x) is:
(sec x / sin x) - (sin x / cos x) = cot x
5. Simplification of (1 + sin x)(1 - sin x)
(1 + sin x)(1 - sin x)
Clear bracket
1 - sin x + sin x - sin² x
1 - sin² x
Recall
1 - sin² x = cos² x
Thus, we have
(1 + sin x)(1 - sin x) = cos² x
6. Simplification of cos x + sin xtan x
cos x + sin xtan x
Recall
tan x = sin x / cos x
cos x + sin xtan x = cos x + sin x (sin x / cos x)
cos x + sin xtan x = cos x + (sin² x / cos x)
cos x + sin xtan x = (cos² x + sin² x) / cos x
Recall
cos² x + sin² x = 1
cos x + sin xtan x = 1 / cos x
1/cos x = sec x
Thus,
cos x + sin xtan x = sec x
The simplified expression of cos x + sin xtan x is sec x
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Helppppppppppppp please
Answer:
1.45 x 10^2
Step-by-step explanation:
In scientific notation, you get the number down to 1 digit before the decimal place and all the rest after it, then multiply by 10 raised to a power in order to get it back to the original. An easy way to do it is to count the number of times you moved the decimal and remember which direction you did it. The number is the power (in this case 2) and the direction tells you if it's positive or negative (in this case it was to the left, so it's positive two.)
In simpler terms, slide the decimal to the right two places and make it 1.45, then multiply it by 10^2 (which is 100) to make it equal to 145. This leaves you with 1.45 x 10^2.
A caterpillar eats 75 leaves in 5 hours. How many leaves will the caterpillar eat in 8 hours if it continues to eat at the same rate?
Answer:
120 leaves
Step-by-step explanation:
If the caterpillar eats 75 leaves in 5 hours and continues to eat at the same rate, the number of leaves eaten is simple, 120 leaves.
How I found the answer:
First, I divided 75 by 5 and got 15, then I multiplied 8 to 15 and got 120.
Quadrilateral JKLM is rotated 90° clockwise about the origin to produce Quadrilateral J'K'L'M'. is m 60 80 100 120
Answer:
Option (1)
Step-by-step explanation:
This question is incomplete; Find the complete question in the attachment.
Quadrilateral JKLM is rotated 90° clockwise to produce quadrilateral J'K'L'M'.
By this transformation complete quadrilateral JKLM rotates from quadrant 1 to quadrant 4 and both will be similar.
But there will be no change in the given angles.
Therefore, m∠M = m∠M' = 60°
Option (1) will be the correct option.
Una docena de bananos cuesta $2.650. ¿Cuántas docenas podría comprar una persona con $22.500?. ¿Cuánto obtendría de devueltas? (ojo, existe más de una solución)
Podras comprar un total de 8 docenas, y sobrara $1.30
¿Cuantas docenas se pueden comprar con $22.50?
Sabemos que una docena de bananos cuesta $2.65, y queremos ver cuantas docenas se peden comprar con $22.50, para ver esto, debemos tomar el cociente entre la cantidad de dinero que tenemos y el precio de una docena.
Obtendremos:
$22.50/$2.65 = 8.49
Redondenado al proximo numero entero obtenemos 8, es decir, se pueden comprar 8 docenas.
La cantidad que sobra es:
$22.50 - 8*$2.65 = $1.30
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What is the mean of this data?
12, 9, 4, 10, 15
Enter your answer in the box.
Step-by-step explanation:
the mean is always the sum of all data divided by the number of data points.
we have 5 data points.
their sum is
12 + 9 + 4 + 10 + 15 = 50
the mean is
50/5 = 10
Find all values of m for which the equation has two real solutions.
3x² + 7x- (m + 1) = 0
Classify the polynomial by degree and number of terms: 3x ^ 4 - 3x ^ 2 - 7x
Cubic Binomial
Quintic Trinomial
Cubic Trinomial
Quartic Trinomial
The polynomial 3x^4 - 3x^2 - 7x is classified as a Cubic Trinomial.
The polynomial 3x^4 - 3x^2 - 7x can be classified as a Cubic Trinomial.
Here's the breakdown of the classification:
Degree: The highest power of the variable x is 4, so the degree of the polynomial is 4. Since the degree is 4, the polynomial is not cubic (which would have a degree of 3) or quintic (which would have a degree of 5).
Number of terms: The polynomial consists of three terms: 3x^4, -3x^2, and -7x. A polynomial with three terms is called a trinomial.
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Answer:Quartic trinomial
Step-by-step explanation:
Don't listen to the other guy, I put cubic and I got the answer wrong thanks to the other guy.
A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
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Find the volume of each composite figure to the nearest whole number.
The volume of the composite figure in this problem is given as follows:
76 ft³.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:
Volume = length x width x height.
The figure in this problem is composed by two prisms, with dimensions given as follows:
2 ft, 6 ft and 3 ft.2 ft, 4 ft and 8 - 3 = 5 ft.Hence the volume is given as follows:
2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.
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Rewrite the following statement as an equation.
The sum of a number squared and three less than twice the number is 129.
A famous recipe for New Orleans jambalaya calls for 1 1/4 cups of Gulf shrimp. The recipe serves 5 people. Trinetta and Agnes want to serve 12 people, so they increase all the ingredients proportionally. How much Gulf shrimp is required for the new recipe?
A. 1 2/5
B. 5/12
C. 3 cups
D. 4/5 cups
E. 7 cups
Answer: C. 3 cups
Step-by-step explanation:
Given: In recipe for 5 people, Required Gulf shrimp = \(1\dfrac14\) cups
Since, \(1\dfrac14=\dfrac{5}{4}\)
Required Gulf shrimp = \(\dfrac54\) cups
Then, for 1 people Gulf shrimp required = \(\dfrac{5}{4}\div 5\)
\(=\dfrac54\times\dfrac{1}{5}\)
\(=\dfrac14\) cup
For 12 people, it is required = \(12\times\dfrac14 = 3\text{ cups}\)
Hence, 3 cups of gulf shrimp is required for new recipe.
So, correct option is C. 3 cups
36 is divisible by which of the following numbers?
Answer:
divisible by
1
2
3
4
6
9
12
18
36
Step-by-step explanation:
Zack opened a savings account and deposited 100.00 the account earns 10% interest compounded quarterly if he wants to use the money to buy a new bicycle in 2 years how much will he able to spend on the bike
Given information:
Deposit amount = P = $100
Interest rate = r = 10% = 0.10
Compounding interval = n = quarterly = 4
Number of years = t = 2
Solution:
Recall that the compound interest formula is given by
\(A=P(1+\frac{r}{n})^{n\cdot t}\)Where
A = Accumulated amount (or ending balance)
P = Principle amount (or deposit amount)
r = Interest rate in decimal
n = Number of compounding in a year
t = Number of years
Now let us substitute the given values into the above formula
\(\begin{gathered} A=100\cdot(1+\frac{0.10}{4})^{4\cdot2} \\ A=100\cdot(1+0.025)^8 \\ A=100\cdot(1.025)^8 \\ A=100\cdot(1.2184) \\ A=\$121.84 \end{gathered}\)Therefore, Zack will be able to spend $121.84 on the bike.
An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $1250 and her stock in Company B was worth $4050. The stock in Company A has decreased 10% since last year and the stock in Company B has decreased 4%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
According to the provided statement, the shareholder's stock account has decreased by a total of 5%.
What is the straightforward meaning of stock?A company, generally referred to as equity, is a type of investment that denotes participation in a portion of the issuing company. Shares, also known as units of stock, entitle its owners to a share of the company's assets and income in accordance with the amount of shares they possess.
Assuming that Company A's stock price last year was $1250
Last year, the stock of business B was worth $4050.
10% less shares of firm A were traded.
This indicates that business A's stock's new value was;
(100-10)/100 *$1250
90/100*$1250
0.9*1250 =$1125
Company B's stock fell by 4%.
This indicates that the new stock value for Company B was;
(100-4)/100 * $4050
96/100 * $4050
0.96 * $4050
$3888
The initial investor's shares was valued at $1250 plus $4050, or $5300.
Stock valuation for new investors is $1125+3888=$5013.
Stock value decreased by $5300 - $5013, = $287.
Stock value decline as a percentage equals stock value decline/original stock value multiplied by 100%.
=287/5300 * 100 = 5
= 5%
The shareholder's capital account has decreased by 5% overall as a result.
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create an equation to solve for x then solve for x.
Answer:
Step-by-step explanation:
In parallelogram adjacent angles are supplementary
∠U +∠V = 180
9x + 15 + 6x + 15 = 180
Combine like terms
9x + 6x + 15 + 15 = 180
15x + 30 = 180
Subtract 30 from both sides
15x = 180 - 30
15x = 150
Divide both sides by 15
x = 150/15
x = 10
∠U = 9x + 15
= 9*10 + 15
= 90 + 15
∠U = 105
∠V = 6x + 15
= 6*10 + 15
= 60 + 15
∠V = 75
Answer:
Equation: \(2(9x + 15 + 6x + 15) = 360\)
x = 10°
∠U = 105°
∠V = 75°
Step-by-step explanation:
Hello!
The sum of angles in a parallelogram is 360°. The opposite angles of a parallelogram are congruent.
Part AEquation: \(2(9x + 15 + 6x + 15) = 360\)Solve\(2(9x + 15 + 6x + 15) = 360\)\(9x + 15 + 6x + 15 = 180\)\(15x + 30 = 180\)\(15x = 150\)\(x = 10\)The value of x is 10°.
Part BTo find the measures of each angle, simply plug in 10° for x in each equation.
∠U\(9x + 15\)\(9(10) + 15\)\(90 + 15\)\(105\)Angle U is 105°.
∠V\(6x + 15\)\(6(10) + 15\)\(60+15\)\(75\)Angle V is 75°.
simplify 1/2 / 5/8 + 1/4
Answer: 1 1/20
Step-by-step explanation:
1/2 / 5/8 + 1/4
=8/10 +1/4
=21/20
=1 1/20
I need help on this question, I can’t figure this out, the whole thing.
Definitions in Statistics
We are given a list of examples and the second list of stats vocabulary. It's required to match them up.
* All people who drive on Highway 50
This corresponds to all the possible samples that can be taken in the study, thus it must be matched with e. Population
* The speed that a driver drives on Highway 50
From all the possible features we could observe, we select one of them. This feature is called the variable. a. Variable
* The average speed that the 250 randomly selected drivers drove on Highway 50
All the dataset is represented by a single number. This is called a parameter. d. Parameter
* The list of the 250 speeds that the drivers studied drove
All the speeds obtained in the study correspond to the Dataset, or simply the data. c. Data
* The 250 randomly selected drivers who were on Highway 50
From the population, only a portion was selected for the study. This corresponds to the sample. b. Sample
* The average speed that all drivers go on Highway 50
The main feature being measured and that justifies the whole study is the statistic. f. Statistic
write the linear equation in slope intercept form (-2,-4) and (-3,-3)
Answer:
y=7x+18
Step-by-step explanation:
the y intercept is 18 and the slope is 7.