Answer: (4,-2)
Step-by-step explanation: step1.- -1/2x=-x+2 (solving for x) x=4
Step 2- y=-1/2x4(substitute the value of X)
Step 3- y=-1/2x4 (solve the equation for y) =2
Step 4- (x,y)=(4,-2) simplify —>(x,y)=(4,-2)
Use the diagram below to answer the following questions.
The infield of a baseball field is a square. The distance from home plate to first base is 90 ft.
2nd
8a. What is the distance from home plate to second base?
pitchers mound
3rd
1st
90 ft
8b. What is the distance from third base to first base?
Home
8c. If the pitcher's mound is 60 ft 6 in from home plate, is it the midpoint of the diagonal from home
plate to second base?
Answer:
Step-by-step explanation:
Distance from home plate to second base = 90√2 feet
Distance from third base to first base = 90√2 feet
60 ft 6 in = 60.5 ft
90√2 /2 = 45√2 ≅ 63.6 ft ≠ 60.5 ft
The pitcher's mound is not at the midpoint.
2. Mr. C'Quence just wrote a 35-problem test for his math class. He wants some of the problems to be
worth two points each while the rest will be worth three points each. If the test must be worth a total of
100 points, set up a system of equations to determine how many of each type of problem Mr. C'Quence
should have on his test?
Define the variables:
Write the system (but do not solve):
I
With compound interest, what happens when you start compounding more and more frequently?
a. there is no correlation between compound c. the computed value gets larger
interest and the computed value
b. the computed value stays the same d. the computed value gets smaller
Please select the best answer from the choices provided
A
B
ОООС
Answer:
The further compounding cycles in a given year, the greater the effect on the valuation of potential investment. Therefore, the more interest-posting dates, irrespective of the interest rate, the more compounding raises the account balance.
Step-by-step explanation:
Answer:
C
the computed value gets larger
Step-by-step explanation:
The length of time, in hours, it takes a train to travel to city B varies inversely with the train’s speed. The train Carole is traveling on is moving at a speed of 70 miles per hour, and it takes her 4 hours to arrive. If the train Steve is traveling on is moving at a speed of 50 mph, how long will it take him to arrive at City B?
Answer:
Step-by-step explanation:
4 h × (70 mi)/h = 280 mi
280 mi × (1 h)/(50 mi) = 5.6 h
The time taken by him to arrive at City B will be 5.6 hours.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The time span, in hours, it takes a train to go to city B fluctuates contrarily with the train's speed.
V x T = Constant
The train Carole is going on is moving at a speed of 70 miles each hour, and it requires her 4 hours to show up. In the event that the train, Steve is going on, is moving at a speed of 50 mph.
Let 't' be the time. Then the equation is given as,
t x 50 = 4 x 70
50t = 280
t = 280 / 50
t = 28 / 5
t = 5.6 hours
The time taken by him to arrive at City B will be 5.6 hours.
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At the last census, 20% of the people in a town were less than 16 years old, 20% were 16-30, 25% were 31-45, 15% were 46-60, and 20% were over 60. To test to see if the age strucutre of the town has changed a random sample of of 200 residents of the town yields the following results:
Age: <16 16-30 31-45 46-60 >60
Observed Frequency 30 31 37 50 52
Test to see if the age structure has changed (using the 5% level of significance).
Answer:
kk
Step-by-step explanation:
Which angle is an x–intercept for the function y=cos(1/2x)? A. 0 B. pie/2 C. pie D. 2pie
Answer:
x intercept is 180
Step-by-step explanation:
Given
[tex]y = cos(\frac{1}{2}x)[/tex]
Required
Determine the x intercept
To do this, we simply set y to 0.
i.e. y = 0
Substitute 0 for y in [tex]y = cos(\frac{1}{2}x)[/tex]
[tex]0 = cos(\frac{1}{2}x)[/tex]
Take [tex]cos^{-1}[/tex] of both sides
[tex]cos^{-1}(0) = cos^{-1}(cos(\frac{1}{2}x))[/tex]
[tex]90 = \frac{1}{2}x[/tex]
Multiply both sides by 2
[tex]2 * 90 = \frac{1}{2}x * 2[/tex]
[tex]2 * 90 = x[/tex]
[tex]180 = x[/tex]
[tex]x = 180[/tex]
Hence, the x intercept is 180
Find the equation of a line perpendicular to x=−4 that contains the point (−3,4). Write the equation in slope-intercept form.
Answer:
y=4
Step-by-step explanation:
We recognize x=−4 as a vertical line, so its perpendicular will be horizontal. The equation of the horizontal line containing the point (−3,4) is given by y=4.
The slope-intercept form of a line perpendicular to x=−4 that contains the point (−3,4) is y = 4.
What is the slope of a line that is perpendicular to the other line?The slope-intercept form of a line is y = mx + c.
Here, m = slope and c = y-intercept of the line.
The equation of the given line is x = - 4
Therefore, the given line is a vertical line.
Now, the line that is perpendicular to the line x = - 4, is a horizontal line.
Now, the horizontal line that passes through the point (- 3, 4) is y = 4.
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E=mc squared m=3 c=6
Answer:
E = 108
Step-by-step explanation:
E = 3 * [tex]6^{2}[/tex]
= 108
Answer:
e=mc^2 if m=3 and c=6
e=3([tex]6^2[/tex])
e=3[tex](36)[/tex]
e=108
Step-by-step explanation:
hope this helps have a good rest of your day/afternoon :) ❤
(3a+9)+(6a+6) =
What is the answer to this??
how many solutions xoes the equation x+8=x+8
Answer:
Infinity
Step-by-step explanation:
x+8 = x+8
-x . -x
8 = 8 = always true
In a MBS first year class, there are three sections each including 20 students. In the first section, there are 10 boys and 10 girls, in the second section there are 15 boys and 5 girls, and in the third section, there are 12 boys and 8 girls. Five students are selected at random from each group to form committee of 15 students. What is the probability that all the 15 students selected are girls?
Answer:
[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls
Step-by-step explanation:
The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
All girls from the first group:
20 students, so [tex]N = 20[/tex]
10 girls, so [tex]k = 10[/tex]
5 students will be selected, so [tex]n = 5[/tex]
We want all of them to be girls, so we find P(X = 5).
[tex]P_1 = P(X = 5) = h(5,20,5,10) = \frac{C_{10,5}*C_{10,5}}{C_{20,5}} = 0.0163[/tex]
All girls from the second group:
20 students, so [tex]N = 20[/tex]
5 girls, so [tex]k = 5[/tex]
5 students will be selected, so [tex]n = 5[/tex]
We want all of them to be girls, so we find P(X = 5).
[tex]P_2 = P(X = 5) = h(5,20,5,5) = \frac{C_{5,5}*C_{15,5}}{C_{20,5}} = 0.00006[/tex]
All girls from the third group:
20 students, so [tex]N = 20[/tex]
8 girls, so [tex]k = 8[/tex]
5 students will be selected, so [tex]n = 5[/tex]
We want all of them to be girls, so we find P(X = 5).
[tex]P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036[/tex]
All 15 students are girls:
Groups are independent, so we multiply the probabilities:
[tex]P = P_1*P_2*P_3 = 0.0163*0.00006*0.0036 = 3.52 \times 10^{-9}[/tex]
[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls
Mark practice the piano for 2/3 for an hour for 6 hours every week. How many hours does he practice each week
Answer:
9
Step-by-step explanation:
6 divided by 2/3 = 6 x 3/2 = 18/2 = 9
hope this helped!
Answer:
2/2
Step-by-step explanation:
Multiply.
(3x + 1)(x + 7)
Answer:
the answer is 3x^2 + 22x + 7
Step-by-step explanation:
Expand the polynomial using the FOIL method.
hoped this helped!
brainly, please?
Answer:
3x^2+22x+7
Step-by-step explanation:
Is (3, 7) a solution to the equation y = 2x – 4? yes or no Submit
Answer:
(3, 7) is not a solution.
Step-by-step explanation:
In this question, we have to find out if the point (3, 7) is a solution to the equation.
To find your answer, you would plug in the coordinate into the equation and solve.
Solve:
y = 2x - 4
Plug in coordinate.
7 = 2(3) - 4
7 = 6 - 4
7 ≠ 2
Since both sides are not equal to each other, this makes the statement false. Therefore, (3, 7) is not a solution.
Your answer would be (3, 7) is not a solution.
evaluate the expression 4/5-2/3
Answer:
2/15
Step-by-step explanation:
Find the LCM which is 15. Multiply 4/5 by 3 to get the numerator 15 and multiply 5 to 2/3 to get the numerator 15.
12/15-10/15=2/15
Hope this helps. Pls give brainliest.
(-12,16) and (-4,-2)find the slope
Answer:
It's -9/4 or -2 1/4. please mark me brainliest <3
Step-by-step explanation:
1) label x1, y1, x2, and y2.
x1 y1 x2 y2
(-12, 16) (-4,-2)
2) Remember the formula is y2-y1
--------
x2-x1
3) substitute
-2-16
--------
-4-(-12)
4) two minuses (negatives) is a positive (+)
so,
-2-16 -18
---------= --------
-4+12 8
5) simplify
-18 divided by 2 -9
----- = ------- or -2 1/4
8 divided by 2 4
Answer:
-1.75
Step-by-step explanation:
Set up a proportion and use it to solve for x.
14
х
6
9
Answer:
x=21
Step-by-step explanation:
x/x+14=9/15
15x=9x+126
6x=126
x=21
HALPPPPP!!
The equation of direct proportion y=kx is given by the table. Find the coefficient k, copy the table and fill it in!
Answer:
K = - 4
Step-by-step explanation:
And i don't have a paper now so I cann't to complet the table sorry
A car owner buys diesel at rs 7.50, rs 8, rs 8.50 per litre for three successive years. what approximately is the average cost per litre of diesel if he spends rs 4000 each year?
Answer:
Average cost per litre of diesel = rs 8.00
Step-by-step explanation:
Amount spent on diesel each year = rs 4000
Price of a litre of diesel in the first year = rs 7.50
Price of a litre of diesel in the second year = rs 8.00
Price of a litre of diesel in the third year = rs 8.50
Average cost per litre of diesel = [tex]\frac{p_{1} + p_{2} + p_{3} }{n}[/tex]
where n is the number of years.
Average cost per litre of diesel = [tex]\frac{7.5 + 8.00 + 8.50}{3}[/tex]
= [tex]\frac{24}{3}[/tex]
= 8
Average cost per litre of diesel is rs 8.00
So that he buys an average of 500 (i.e [tex]\frac{4000}{8}[/tex]) litres every year.
puzzle times what kind of cheese comes with a house
Answer:
WHAT DOES TGAT EVEN MEAN
Step-by-step explanation:
Answer:
Step-by-step explanation:
Y= 2/3x + 2. Y= 3/5x + 3. Graph equations
H) Jorge had 3 pounds of strawberries. He let his friend Matt eat 1/2 of the strawberries. How many pounds of strawberries did Matt eat?
Answer: Matt ate 1.5 pounds of strawberries.
Step-by-step explanation:
3 ÷ 1/2 = 1.5
Answer:
1.5 pounds
Step-by-step explanation:
Total of strawberries = 3 pounds
Mat eat half of the total of strawberries = 1/2 * 3 pounds = 1.5 pounds
2 1/4x + (4 1/3x − 7 4/5 ) ÷ 2 3/5
Answer:
1/4*(9x+130x-234/35
Step-by-step explanation:
get photomath
A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 8.1 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual)
Answer: The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042
This outcome would warrant a replacement cup.
Step-by-step explanation:
Let x be a random variable that represents the temperature of hot chocolates.
GIven: Mean temperature = 175 degrees
standard deviation = 8.1 degrees
The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =[tex]P(x<161)[/tex]
[tex]=P(\dfrac{x-\mu}{\sigma}<\dfrac{161-175}{8.1})\\\\=P(Z<-1.7284) [Z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<1.7284)\\\\=1-0.9580\\\\=0.042[/tex]
Hence, the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042 < 0.5 (unusual)
i.e. this outcome would warrant a replacement cup.
Which polygon appears to be regular?
O Figure A
O Figure B
O Figure C
Figure A
Figure B
O Figure D
Figure C
Figure D
Figure C appears to have all sides and angles the same.
What are regular polygons?A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.
This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).
We have,
Some examples of regular polygons include equilateral triangles, squares, pentagons, hexagons, and so on.
A regular polygon can have any number of sides, and its name reflects the number of sides it has.
For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, a polygon with five sides is called a pentagon, and so on.
Thus,
Figure C appears to have all sides and angles the same.
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3)
Evaluate the expression 2x-5 when x = 3.
Answer:
1
Step-by-step explanation:
Plug in the x to the original equation given.
2(3)-5
2 times 3 is 6 so then,
6-5 =1
Hey there!
2x - 5
= 2(3) - 5
= 6 - 5
= 1
Therefore, your answer is: 1
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Solve for w. -2 > W - 12
Answer:
10 > w
Step-by-step explanation:
-2 > w-12
Add 12 to both sides of the equation in order to isolate w
-2+12 > w-12+12This will cancel out 12 on the right side of the inequality as well as give the value of w on the left side of the inequality.
10 > w
1.)20 is twice as much as 10 (True or False
2.)10 is twice as much as 20 (True or False)
3.)30 is double 15 (True Or False)
4.) 15 is double 30
(True or False)
The options that are true are (1), (3) and false ones are (2), (4).
What are arithmetic operations?The basis of all mathematical operations are the arithmetic operations. These operations include addition, subtraction, multiplication, and division.
The given options can be examined one by one as follows,
(1) The given number 20 may be expressed as a mathematical operation as follows:
20 = 10 × 2
Which implies it is two times that of 10.
Thus, it is true.
(2) The given number 10 may be expressed as a mathematical operation as follows:
10 = 20 ÷ 2
Which implies it is half of 20.
Thus, it is false.
(3) The given number 30 may be expressed as a mathematical operation as follows:
30 = 15 × 2
Which implies it is two times that of 15.
Thus, it is true.
(4) The given number 15 may be expressed as a mathematical operation as follows:
15 = 30 ÷ 2
Which implies it is half of 30.
Thus, it is false.
Hence, the true and false options are (1), (3) and (2), (4) respectively.
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I don’t know how to find X or Y very urgent, need to figure this out how to solve plz help
Answer:
x = 9
y = 9√3 = 15.6
Step-by-step explanation:
The triangle given is a right triangle, therefore:
✔️apply trigonometric ratio formula to find x:
Reference angle = 60°
Hypotenuse = 18
Adjacent = x
Thus:
Cos (60) = x/18
Multiply both sides by 18
18×cos(60) = x
9 = x
x = 9
✔️find y by applying pythagorean theorem:
y² = 18² - x² (pythagorean theorem)
y² = 18² - 9² (substitution)
y² = 243
y = √243
y = √(81*3)
y = 9√3 = 15.6
A bookstore pays $4.50 for a novel. The percent of markup is 45%. Find the novel's selling price. 55 TE OME TELE mm
Answer:
Selling price= $6.53
Step-by-step explanation:
Giving the following information:
A bookstore pays $4.50 for a novel. The percent of markup is 45%.
To calculate the selling price, we need to use the following formula:
Selling price= purchase price*(1 + mark up percentage)
Selling price= 4.5*1.45
Selling price= $6.53