Answer:
(x-14)^2+(y-3)^2=9
Step-by-step explanation:
equation of a circle is (x-h)^2+(y-h)^2=r^2
so center is (14,3) and is tangent externally means
(x-14)^2+(y-3)2=3^2
(x-14)^2+(y-3)^2=9 answer
The equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]
The standard formula for finding the equation of a circle is expressed as:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where
(a, b) is the centre
r is the radius
Given the center at (14, 3)
If the equation of a circle is externally tangent to the given circle and has a center at (14, 3), then the radius will be 3
Substitute the radius and the centre into the expression above to have:
[tex](x-14)^2 + (y-3)^2=3^2\\(x-14)^2 + (y-3)^2=9[/tex]
Hence the equation of a circle is externally tangent to the given circle and has a center at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]
Learn more here: https://brainly.com/question/24217736
Pete grabbed 18 mixed nuts, StartFraction 2 Over 9 EndFraction of which were almonds. Which equation shows how to determine the number of almonds Pete grabbed? 18 divided by StartFraction 2 Over 9 EndFraction = 81 18 times StartFraction 2 Over 9 EndFraction = 4 StartFraction 2 Over 9 EndFraction divided by 18 = StartFraction 1 Over 81 EndFraction StartFraction 9 Over 2 EndFraction divided by 18 = one-fourth
Answer:
1/4
Step-by-step explanation:
9 divide by 18= 1/4
Specially equipped c argo planes and helicopters help "attack" wildfires by dropping flame retar dant chemicals and water True o False
Answer:
True
Step-by-step explanation:
What's another way to express the expression [4(17) + 3(25)] x 5?
Answer:
715
Step-by-step explanation:
[4(17) + 3(25)] x 5
(68+3*25)*5
(68+75)*5
143*5
175
Suppose you have seven movies on DVD (two comedy, three action, and two horror) to put on a shelf. If you choose the DVDs at random, what is the probability that the first one is horror and the second one is action?
A: 66.67%
B: 7.14%
C: 4.76%
D: 14.29%
Answer: D: 14.29%
Step-by-step explanation:
Given: Total movies = 7
Categories: Comedy = 2, Action = 3 ,horror = 2
Probability that first one is horror = [tex]\dfrac{\text{Number of horror movies}}{\text{Total movies}}[/tex]
[tex]=\dfrac{2}{7}[/tex]
Remaining DVDs =6
Probability that first one is horror and the second one is action = [tex]\dfrac{2}{7}\times \dfrac{\text{Number of action movies}}{\text{remaining movies}}[/tex]
[tex]=\dfrac27\times\dfrac{3}{6}=\dfrac{1}{7}[/tex]
In percent, [tex]\dfrac{1}{7}\times100\%=14.29\%[/tex]
Hence, the correct option is D: 14.29% .
Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,100, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let
x4 = the number of 4-cylinder connecting rods produced next week
x6 = the number of 6-cylinder connecting rods produced next week
s4 = 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise
s6 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise
Required:
Using the decision variables x4 and s4, write a constraint that sets next week.
Answer:
Generally the constraint that sets next week are shown below
Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is
[tex]x_4 \le W_4 * s_4[/tex]
[tex]x_4 \le 5000 * s_4[/tex]
Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is
[tex]x_6 \le W_6 * s_6[/tex]
[tex]x_6 \le 8,000 * s_6[/tex]
Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is
[tex]x_4 \le W_4 * s_6[/tex]
=> [tex]x_4 \le 5000 * s_6[/tex]
[tex]x_4 \le W_6 * s_4[/tex]
=> [tex]x_4 \le 8000 * s_4[/tex]
[tex]s_4 + s_6 = 1[/tex]
The minimum cost of production for next week is
[tex]U = M_4 * x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]
=> [tex]U = 13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]
Step-by-step explanation:
The cost for the four cylinder production line is [tex]C_4 = \$2,100[/tex]
The cost for the six cylinder production line is [tex]C_6 = \$3,500[/tex]
The manufacturing cost for each four cylinder is [tex]M_4= \$13[/tex]
The manufacturing cost for each six cylinder is [tex]M_6= \$16[/tex]
The weekly production capacity for 4 cylinder connecting rod is [tex]W_4 = 5,000[/tex]
The weekly production capacity for 6 cylinder connecting rod is [tex]W_6 = 8,000[/tex]
Generally the constraint that sets next week are shown below
Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is
[tex]x_4 \le W_4 * s_4[/tex]
[tex]x_4 \le 5000 * s_4[/tex]
Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is
[tex]x_6 \le W_6 * s_6[/tex]
[tex]x_6 \le 8,000 * s_6[/tex]
Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is
[tex]x_4 \le W_4 * s_6[/tex]
=> [tex]x_4 \le 5000 * s_6[/tex]
[tex]x_4 \le W_6 * s_4[/tex]
=> [tex]x_4 \le 8000 * s_4[/tex]
[tex]s_4 + s_6 = 1[/tex]
The minimum cost of production for next week is
[tex]U = M_4 * x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]
=> [tex]U = 13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Emilio got a score of 76; this version has a mean of 70.6 and a standard deviation of 9. Alissa got a score of 298.8; this version has a mean of 282 and a standard deviation of 24. Tobias got a score of 8.04; this version has a mean of 7.2 and a standard deviation of 0.4.
Required:
If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Answer:
Tobias did best on the aptitude test.
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
For Emilio
Emilio got a score of 76; this version has a mean of 70.6 and a standard deviation of 9.
z = (x-μ)/σ
z = 76 - 70.6/9
z = 0.6
For Alissa
Alissa got a score of 298.8; this version has a mean of 282 and a standard deviation of 24.
z = (x-μ)/σ
z = 298.8 - 282/24
z = 0.7
For Tobias
Tobias got a score of 8.04; this version has a mean of 7.2 and a standard deviation of 0.4.
z = (x-μ)/σ
z = 8.04 - 7.2/0.4
z = 2.1
Looking at the calculated z score above, we can see that Tobias did better on his aptitude test because he had a higher z score compared to Emilio and Alissa.
Caroline is baking pies to the teachers lunch at her school she plans to give every teacher 1/8 of a pie she decides to bake 12 pies Each pie takes 26.5 minutes to bake if coraline bakes 1 pie at a time how many total minutes is it
Answer:
It will take her 318 minutes.
Step-by-step explanation:
26.5 times 12 equals 318
the area of a square is 73.96 m^2 .calculate the length of its side.
---------------------------------------------------
give me the answer step by step I know its answer is 8.6 m but I need its formula
It a bc i said so hahahahaha
A florist must make 5 identical
bridesmaid bouquets for a wedding. The budget is
$160, and each bouquet must have 12 flowers. Roses
cost $2.50 each, lilies cost $4 each, and irises cost
$2 each. The florist wants twice as many roses as the
other two types of flowers combined.
Answer:
A. 40x + 10y + 10z = $160
B. 8 Roses, 2 lilies and 2 irises
C.
1. 20x + 5y + 5z = $80
2. 4x + y + z = $16
3. 8x + 2y + 2z = $32
Step-by-step explanation:
Cost for each flower = $160/5 = $32
So we have $32 for each bouquet consisting of 12 flowers each.
Roses = x = $2.50 each
lilies = y = $4 each
irises = z = $2 each
8x + 2y + 2z = $32
8($2.50) + 2($4) + 2($2) = $32
$20 + $8 + $4 = $32
$32 = $32
a. Maximum budget is $160
40x + 10y + 10z = $160
40($2.50) + 10($4) + 10($2) = $160
$100 + $40 + $20 = $160
$160 = $160
b. From above
8x + 2y + 2z = $32
8 Roses, 2 lilies and 2 irises
c. No. There are other solutions If total cost is not limited
1. 20x + 5y + 5z
20($2.50) + 5($4) + 5($2)
$50 + $20 + $10
= $80
2. 4x + y + z
4($2.50) + $4 + $2
$10 + $4 + $2
= $16
3. 8x + 2y + 2z
8($2.50) + 2($4) + 2($2)
$20 + $8 + $4
= $32
is 1.05 a terminating decimal
Answer:
No
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
A proposed change in income tax suggests charging 20% on a person's income up to $30,000 and then 40% on any
income above that. If a person has an income of $47,000, what will be their income tax under the proposal?
Give your answer in dollars to the nearest dollar. Do not include commas or the dollar symbol in your answer.
Provide your answer below
Answer:
If you get tax you should know the details of the what the tax is FOR
Step-by-step explanation:
Not enough details in question
Answer:
Step-by-step explanation:
Since the person earns over $30,000, they will be charged 20% on $30,000 plus 40% on ($47,000−$30,000)=$17,000. Hence the total amount of tax that they'd need to pay under the proposal is
Total Income Tax=$30,000×20%+$17,000×40%=$30,000×20100+$17,000×40100=$6,000+$6,800=$12,800.
is 0.03 greater than 0.5
Answer:
no
Step-by-step explanation:
What is 4/9 - 1/3 =
help
Answer:djjdd
Please I love free points secy
Step-by-step explanation:
Ok but guys is 10009
Translate the following statement into an inequality. Use x as the variable.
A girl could spend at most $23 on a gift.
Choose the correct answer below.
A x < 23
B X323
C X>23
D x >223
-
The Dean of the Business School at State University would like to test the hypothesis that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course. A random sample of eight students who took both courses was selected and their final exam grades for each course are shown below.
Student 1 2 3 4 5 6 7 8
Marketing 82 86 74 93 90 76 87 100
Finance 76 91 70 79 96 70 85 81
If Population 1 is defined as the Marketing exam scores and Population 2 is defined as the Finance exam scores. Which of the following test is appropriate for Dean's hypothesis?
a. One-way ANOVA
b. Paired samples t- test
c. One sample t- test
d. Independent samples t-test
Answer:
Paired samples t- test is appropriate for Dean's hypothesis
Step-by-step explanation:
Given Data :
Student 1 2 3 4 5 6 7 8
Marketing 82 86 74 93 90 76 87 100
Finance 76 91 70 79 96 70 85 81
We are supposed to find the test which is appropriate for Dean's hypothesis
We are given the grades of two different subjects for same student
We perform the paired t test because the final grades for the Marketing and Finance is taken for the same student.
So, Option B is correct
Hence Paired samples t- test is appropriate for Dean's hypothesis
b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?
Answer:
c
Step-by-step explanation:
Step-by-step explanation:
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Jeff hikes 1/2 mile every 1/4 hour. Lisa hikes 1/3 miles every 1/6 of an hour. How far does each hike in 1 hour?
Answer:
They both hike 2 miles in 1 hour
Step-by-step explanation:
Jeff hikes 4 miles in 2 hours. so that means in 1 hour he hikes 2 miles. Lisa hikes the same amount of miles in an hour as Jeff
A=1/2h(a+b), solve for a
Step-by-step explanation:
2A=h(a+b)
2A=ha+hb
2A-hb=ha
2A-hb/h=a
PLEASE Use rigid motion to prove that figure ABC is congruent to figure EFG
Answer:
a) Translate ABC using directed line segment AE. Rotate A'B'C' using E as the center until C' coincides with G.
Step-by-step explanation:
If we consider ABC figure as a rigid body, then we can translate it to any point in space, keeping the lengths and directions of its elements same. So, to prove congruency of two figures we will try to make them coincident on each other. So, first we translate the figure ABC, along a straight line projected from A to E, such that point A meets Point E. We call this repositioned figure A'B'C' Now, another property of rigid body is that it can rotate as a whole body about any of its internal points.
Since, A' and E are coincident now so, we rotate figure A'B'C', with A' as the center of rotation. This rotation is anti-clockwise and we rotate it until C' coincides with G. Now, both figures are coincident. Hence, their congruency is proven.
Therefore, the correct answer is:
a) Translate ABC using directed line segment AE. Rotate A'B'C' using E as the center until C' coincides with G.
In this exercise, we have to use the knowledge of solid rotation to identify the alternative that best represents what happened in the image, so we have that the best alternative is:
Letter A.
If we consider ABC figure as a rigid body, then we can translate it to any point in space, keeping the lengths and directions of its elements same. So, to prove congruency of two figures, we will try to make them coincident on each other.
First we translate the figure ABC, along a straight line projected from A to E, such that point A meets Point E. Now, another property of a rigid body is that it can rotate as a whole body about any of its internal points.Second we rotate figure A'B'C', with A' as the center of rotation. This rotation is anti-clockwise, and we rotate it until C' coincides with G.Now, both figures are coincident. Hence, their congruency is proven. Therefore, the correct answer is:
The letter A, which means that translate ABC using directed line segment AE. Rotate A'B'C' using E as the center until C' coincides with G.
See more about rotation at brainly.com/question/1571997
There is 3 questions help asap
Bart drives 45 miles in 30 minutes. If he drove 3 hours in total at the same rate how far did he go! How many minutes did Bart drive in total!
Answer:
270 miles and 180 minutes
Step-by-step explanation:
PLEASE HELP PLEASE!!
Complete the following statement to estimate the root of 75 to the nearest tenth. Use numbers that are closest to the root of 75
PLEASE HELP!!! i’ll give brainliest
Answer:
x = [tex]\sqrt{164[/tex]
Step-by-step explanation:
In order to find the hypothenuse, you need to do [tex]8^{2} + 10^{2}[/tex]. Which equals 164. Therefore, since [tex]a^{2} +b^{2} =c^{2}[/tex], a=8, b=10, and c=[tex]\sqrt{164[/tex].
Does anyone know what the slope equation is for this graph. PLz explain if you can. Ty!
In decimal form, this is y = -1.5x+3
=========================================
Explanation:
Start at (0,3). Move three units down and two units to the right to get to (2,0)
slope = rise/run
slope = -3/2
rise = -3 = go 3 units down
run = 2 = go 2 units to the right
--------------------------
We could use the two points (0,3) and (2,0) in the slope formula below
m = (y2-y1)/(x2-x1)
m = (0-3)/(2-0)
m = -3/2
So this is another way to see the slope is -3/2
--------------------------
The y intercept is where the graph crosses the vertical y axis. In this case, it's at 3. So b = 3
Using m = -3/2 and b = 3, we go from y = mx+b to y = (-3/2)x+3 which is equivalent to y = -1.5x+3
Answer:
[tex]y=-\frac{3}{2} x+3[/tex]
Step-by-step explanation:
I don't really know how to explain this, but I hope the graph helps some.
I hope this helps you! (✿◕‿◕✿)
PLZPLZPLZPLZHELPHELPHELPASAP!!
Rectangle A measures 8 inches by 5 inches. Rectangle B is a scaled copy of Rectangle A. Select all the measurement pairs that could be the dimensions of Rectangle B.
1. 4 inches by 2.5 inches
2. 15 inches by 10 inches
3. 24 inches by 15 inches
4. 9 inches by 6 inches
Answer:
uhhhhhhhhhhhhhhhhhhh
Lisa bucket weighs 21kg after pouring out half it weigh 12kg what’s the wight of the bucket?
Answer:
Step-by-step explanation:
9kg
What is the answer to thus ...?
Candice skipped 12 m in 3 seconds. What was her speed in m/s?
Answer:
4 m/s
Step-by-step explanation:
Take the number of meters and divide by the number of seconds
12 m/3s
4 m/s
pls help with number 7. and 8.
Answer:
One pair of gloves cost $5.89
Step-by-step explanation:
You just have to divide 29.45 by 5 and that gives you how much one pair of gloves cost
How much mixed spice will she need for 6 spice
Answer:
who
Step-by-step explanation: