Answer:
[tex]C = (30,500)[/tex]
Step-by-step explanation:
Given
[tex]Area = 1800ft^2[/tex]
[tex]A = (6,0)[/tex]
[tex]B = (0,25)[/tex]
[tex]C(x,y) = (30,y)[/tex]
Required
Determine the coordinates of C
The area of triangle is calculated as thus:
[tex]Area = \frac{|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|}{2}[/tex]
This gives:
[tex]1800= \frac{|6(25 - y) + 0(y - 0) + 30(0 - 25)|}{2}[/tex]
[tex]1800= \frac{|6(25 - y) + 30(0- 25)|}{2}[/tex]
[tex]1800= \frac{|6(25 - y) + 30(-25)|}{2}[/tex]
[tex]1800= \frac{|150 - 6y -750 |}{2}[/tex]
[tex]1800= \frac{|150 -750- 6y |}{2}[/tex]
[tex]1800= \frac{|-600- 6y |}{2}[/tex]
Multiply through by 2
[tex]2 * 1800= |-600- 6y|[/tex]
[tex]3600= |-600- 6y|[/tex]
[tex]3600= |-(600+ 6y)|[/tex]
[tex]3600= 600+ 6y[/tex]
Solve for 6y
[tex]6y = 3600 - 600[/tex]
[tex]6y = 3000[/tex]
Solve for y
[tex]y = 3000/6[/tex]
[tex]y = 500[/tex]
Hence:
The point is:
[tex]C = (30,500)[/tex]
the trans-global shipping company has been forced to lay off some workers due to a decrease in revenue. last year the company had to lay off 75 people so far this year they had to lay off 20% more employees than last year how many have been laid off this year
Answer:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Answer:
Boy
Explanation:
Step-by-step explanation:
The required number of employees being laid off is 90.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
Given that,
The number of employees laid off last year was 75.
The percentage increase in laid off for present year is 20%.
The number of employees laid off can be calculated as follows,
75 + 20% of 75
= 75 + 20/100 × 75
= 75 + 15
= 90
Hence, the number of employees laid off in the present year is 90.
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Who Smokes More: Male Students or Female Students?
Information on a sample of 362 college students is collected. The complete dataset is available at StudentSurvey. We see that 27 of the 193 males in the sample smoke while 16 of the 169 females in the sample smoke
the male smoke more
Step-by-step explanation:
the male smoke more because 27 out of 193 and 16 out of 169 females smoke
Complete the sentence.
The amount of energy it takes to move a couch is most likely to be a function
of the
A. age of the couch
B. weight of the couch
C. color of the couch
O O
D. day of the week the couch is being moved
The amount of kinetic energy required to move a couch is most likely to be a function of the weight of the couch.
What is kinetic energy?In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.
Kinetic energy is directly proportional to the mass of the object and to the square of its velocity.
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Subtract.
1 2/5−(−3/5)
Enter your answer, in simplest form, in the box.
HELP PLEASE CYRIN RN :'( \_(-_-)_/
Annie bakes cookies and cupcakes in a ratio of 2 to 7 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. How many cupcakes will she bake? How many cookies will she bake ?
Answer:
8 cookies and 28 cupcakes
Step-by-step explanation:
[tex]2+7=9\\36/9=4\\[/tex]
[tex]2[/tex] × [tex]4=8[/tex]
[tex]7[/tex] × [tex]4=28[/tex]
[tex]8+28=36[/tex]
The world population at the beginning of 1980 was 4.5 billion. Assuming the population continued to grow at the rate of approximately 1.3% per year, find a function Q(t) giving the population of the world (in billions) as a function of time t (in years)
Answer:
The function Q(t) = 4.5 billion (1.013)^t will give the population in t years
Step-by-step explanation:
Here, we want to write a function
The growth percentage is 1.3% = 1.3/100 = 0.013
The function Q(t) will be an exponential function and it will be represented as;
Q(t) = I ( 1 + r)^t
where I is the initial world population at 1980 = 4.5 billion
r is the growth percentage = 1.3% = 0.013
t is the time in years
Substituting these values, we have;
Q(t) = 4.5 billion (1 + 0.013)^t
Q(t) = 4.5 billion (1.013)^t
Please someone answer this for me
My question is
-x/9 = -8
Please help answer this ;)!
Evaluate the expression 52 – 3x when x = 17. Then, select the option that completes this sentence:
The result is a whole number that is:
A. a prime number.
B. a composite number.
C. a whole number that is neither prime nor composite.
D. not a whole number.
Please Help!!! T~T
Answer:
it's c. "a whole number that is neither prime nor composite."
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation: Example 52-3x and if x equals 17 then it would convert to 52-17=35 which this is nor prime nor composite
HOPE THIS HELPED!
Need a answer for that question, please?
Answer:
X is 70 degrees
Step-by-step explanation:
Answer:
X is 70 degrees
Step-by-step explanation:
all triangles and straight lines are up to 180 degrees so
180-120=60
we now have 2 angles, so now we need to subtract from 180 to get the missing number
180-60-50=70
Find the sum of the arithmetic sequence 22, 11, 0, -11, ..., –77.
A -198
B.-275
C. -297
D. -385
Answer:
B.
Step-by-step explanation:
First you need to figure out how many numbers there are, so with this you can simply count 10. Then use the formula to plug in the numbers: 10(22-77)/2 to get the answer.
The required sum of the arithmetic progression is -275.
The arithmetic sequence is given 22, 11, 0, -11, ..., –77, sum of the sequence is to be determined.
Arithmetic progression is the series of numbers that have common differences between adjacent values
Here,
first term (a) = 22
Last term (l) = -77
Now,
l = a + (n - 1)d
-77 = 22 + (n - 1) *(-11)
-77 - 22 = (n - 1)(-11)
n - 1 = 9
n = 10
Now,
sum of the arithmetic sequence,
s = n / 2 [a + l]
s = 10 / 2 [22 - 77]
s = 5 [-55]
s = -275
Thus, the required sum of the arithmetic progression is -275.
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In a study of the television viewing habits of children, a developmental psychologist selects a random sample of 300 first graders - 100 boys and 200 girls. Each child is asked which of the following TV programs they like best: The Lone Ranger, Sesame Street, or the Simpsons.
Complete the following table:
Answer:
20, 50, 70, 110
Step-by-step explanation:
boys x simpsons: 20
girls x long ranger: 50
girls x simpsons: 70
total x sesame street: 110
have a great day :)
20 girls watch Long Ranger , 110 first graders watch Sesame Street , 20 boys watch Simpsons, and 70 girls watch Simpsons.
What is random sampling?" Random sampling is a process of observing samples using such technique that each sample has equal probability."
According to the question,
As per the information of random samples given in the table,
Total number of boys are = 100
Total number of girls = 200
For boys
Long Ranger + Sesame Street + Simpsons = 100
⇒ 50 + 30 + Simpsons = 100
⇒ Number of boys view Simpsons = 100 - 80
= 20
In Long ranger column,
50 Boys + ___girls = 100
⇒ Number of girls watching Long Ranger = 100 -50
= 50
In Sesame street
30 boys + 80 girls = 110 Total viewers
Number of girls watching Simpsons = 90 -20
= 70
Hence, 20 girls watch Long Ranger , 110 total boys and girls watch Sesame Street , 20 boys watch Simpsons, and 70 girls watch Simpsons.
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tristians parents bought a new house that was 2255 square fee. the price per square foot was 98 dollars. How much did they pay for the house
Answer:
$220,990
Step-by-step explanation:
Answer:
Step-by-step explanation:
220,990
I really need help with this question, please!
Answer:
The triangles are not similar to each other .
The lunch lady has 12 pounds of lasagna left over.
If she makes -pound servings, how many
servings of lasagna can she serve with the
amount left over?
Answer:
12
Step-by-step explanation: if she has 12 pounds lasagna and make 1 pounds she can make 12 pounds for 12 people? hope this help you ;]
Answer:
36
Step-by-step explanation:
sans and papyrus are making spaghetti
sans used 90% of the cheddar
and papyrus used the other 10%
how much are they using to make the spaghetti
Answer:
100%
Step-by-step explanation:
90+10=100
Answer:
Step-by-step explanation:
Oh god that’s 100% of the cheddar bag used! PAPYRUS NO THATS TOO MUCH YOULL RUIN UR SPAGHETTI AND SANS UR NOT HELPING. Oh god what if Sans sabotaged his spaghetti... It’s either that, or a more logical explanation: Sans used 90% of the cheddar to flavor his ketchup, while Papyrus was left with the last bit for his spaghetti...?
Papyrus: I am now going to make one of my famous spaghetti dishes with not 10%, but 20% cheddar! Sans! Give me the cheese bag!
Sans: Sure, bud. *hands over 10% of cheddar left in bag*
Papyrus: This... this is only 10% though... now I can’t make my soon to be famous 20% cheese spaghetti... OH MY GOD THIS IS A DISASTER
One like = giving Papyrus that last 10% he needs for his famous spaghetti
A large ladder leans against a house with the base of the ladder 5.8 horizontal feet from
the base of the house. If the ladder has a slope of 3.3 feet per foot, at what height does the top of the ladder meet the house? (Round your answer to two decimal places.)
=_______ft
Answer:
At 19.14 feet the top of the ladder meet the house.
Step-by-step explanation:
It is given that,
A large ladder leans against a house with the base of the ladder 5.8 horizontal feet from the base of the house.
Slope of the ladder, m = 3.3 feet/foot
We need to find at what height does the top of the ladder meet the house. Let it is h.
Base, b = 5.8 feet
It will form a right angle triangle
Slope=h/base
h = slope × base
h = 3.3 × 5.8
h = 19.14 feet
So, at 19.14 feet the top of the ladder meet the house.
A coal company wants to determine a 95% confidence interval estimate for the average daily tonnage of coal that it mines. Assuming the company reports that the standard deviation of daily output is 200 tons, how many days should it sample so that the margin of error will be 39.2 tons or less?
Answer:
It should be 100 days sample so that the margin of error will be 39.2 tons or less
Step-by-step explanation:
We are given that A coal company wants to determine a 95% confidence interval estimate for the average daily tonnage of coal that it mines.
[tex]\alpha = 0.05[/tex]
To Find two tailed critical value using Z table
[tex]Z_{\frac{\alpha}{2}}=Z_{\frac{0.05}{2}}=\pm 1.96[/tex]
Margin of error = ME = 39.2
[tex]\sigma = 200[/tex]
Formula : [tex]n = (\frac{Z_{\frac{\alpha}{2}} \times \sigma}{ME})^2[/tex]
[tex]n = (\frac{1.96 \times 200}{39.2})^2[/tex]
n=100
Hence it should be 100 days sample so that the margin of error will be 39.2 tons or less
2x80 pl help me ASAP if you can
Answer:
160
Step-by-step explanation:
Beth is designing a business card. She makes a scale drawing of her old business card by using a scale factor of Five-fourths. Her scale drawing is a 2 and one-half-inch by 5-inch rectangle.
Answer:
2 by 4 inches
Step-by-step explanation:
If you divide 2 1/2 by 5/4 and 5 by 5/4, you get 2 by 4 inches.
(Edit: I fixed it)
Answer:
The scale factor is a reduction, and the new card should be 4 in x 2 in.
Step-by-step explanation:
Which Function is represented in the graph?
Answer:
B
Step-by-step explanation:
The part of the function where x <=2 is a line, so we can rule out C and D. Lastly, the part of the function where x<=2 has a slope of -2, so we can rule out A. That leaves us with the only possible answer B
What is 24:28=? 250:400=? 270:30=? 4:80=? 55:33=? 1000:100=? 560:80=? 20:340=?
Plz help ill give u 20 points if u do all of these:)
Step-by-step explanation:
Ok so if you didn't know, : is another way to write / so 24:28 is the same thing as 24 divided by 28. Or if you just wanted to simplify to most, you just want to find the largest common factor and divide it by both.
24:28 = 6:7
250:400 = 5:8
270:30 = 9:1
4:80 = 1:20
55:33 = 5:3
1000:100 = 100:10
560:80 = 7:1
20:340 = 1:17
Answer: 24:28= 6:7
250:400= 5:8
4:80= 1:20
55:33= 5/3
1000:100= 10:1
560:80= 7:1
20:340= 1:17
Step-by-step explanation:
Divide the numbers on each side of the ratio by Common Factors until what's left can't be divided any further.
One example, last one:
20:340 both divisible by 10, so you get 2:34. Both even numbers so divide by 2. You get 1:17. They can't be divided any further to get whole numbers, so that's the answer.
A={-6, 0, 6},
B={-1, 0, 1}
find A intersect B
Answer:
[tex] \huge \boxed{ \sf{ \{ 0 \} }}[/tex]
Step-by-step explanation:
Given :[tex] \sf{A} \: = \: [/tex] { -6 , 0 , 6 }
[tex] \sf{B} \: = [/tex]{ -1 , 0 , 1 }
To find :A ∩ B
Solution :A ∩ B = { -6 , 0 , 6 } { -1 , 0 , 1 }
A ∩ B = { 0 }
Remember : In case of intersection , the common element of two sets A and B should be listed in a single set. So, the intersection of sets A and B is the set of all elements which belong to both A and B. The intersection of sets A and B is denoted by ( A ∩ B ) and read as A intersection B.
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
Complete the following statement. Use the integers that are closest to the number in the middle.
Attachment Below
Answer:
-1 and 6
Step-by-step explanation:
i hope this help you
Chase drew a scale drawing of a community college. A building at the college, which is 260 meters long in real life, is 286 millimeters long in the drawing. what scale did chase use?
Given parameters:
Actual length = 260m
Drawing length = 286mm
Unknown:
Scale used = ?
Solution:
A scale compares drawing length to ground distance;
To find the scale,
Express the two quantities in the same unit;
actual length = 260 x 10⁻³m = 0.26mm
Now;
drawing length : actual length
286mm : 260 x 10⁻³mm
divide by 286;
1mm on drawing : 9 x 10⁻⁴mm on map
or;
1mm on drawing is 0.9m on ground
What will a $210,000 house cost 10 years from now if the inflation rate over that period averages
%3 compounded annually? $282, 222.44
The cost of the house 10 years from now in the case when inflation rate should be 3% is $282,222.44.
Calculation of the cost of house:Since
The house cost is $210,000
The time period is 10 years
And, the rate of interest is 3%
So,
[tex]= \$210,000 \times (1 + 0.03)^{10[/tex]
= $282,222.44
Hence, The cost of the house 10 years from now in the case when inflation rate should be 3% is $282,222.44.
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3.Write two polynomial functions whose quotient will be the same degree
as the divisor.
4.Write two polynomial functions whose quotient will have a degree of
zero.
Answer:0
Step-by-step explanation:
its right
please help asapppp 2
Answer:
c
need brainest
Step-by-step explanation:
In the coordinate plane, the point X (2, 3) is translated to the point x'(5,-2). Under the same translation, the points Y(-1, 1) and Z(5, 5) are translated
to Y' and Z', respectively. What are the coordinates of Y' and Z'?
Add steps to solve !! Please
Answer:
Y'=(2,-4)
Z'=(8,0)
Step-by-step explanation:
X + T = X'
(2,3) + (T) = (5,-2)
T = (3,-5)
Y' = Y + T = (2,-4)
Z' = Z + T = (8,0)
