Line A passes through the points (-2, 27) and (1, -9). Line B passes through the points (-1, 15)
and (3,-33).
Which statement is true?
Line A overlaps line B.
Line A does not intersect line B.
Line A intersects line B at exactly one point.
Answer:
Line A overlaps line B
Step-by-step explanation:
find gradient of both A and B and use it to find the equation of both lines
final answer will reveal that both lines are the same implying that one overlaps the other
Help please? It’s math.
to convert 13 feet to yards you would use the ratio 1 yard / 3feet or true or false
Answer:
True
Explanation:
3 feet is 1 yard so 13/3 is 4.3 yards approximately
True
\( \frac{1 \: yard}{3 \: feet} = \frac{x \: yard}{13 \: feet} \)
3x = 13
\(x = \frac{13}{3} yards\)
A paper bag has five colored marbles. The marbles are red, green, blue, yellow, and orange. List the sample space when choosing one marble.
S = {1, 2, 3, 4, 5}
S = {red, blue, green, yellow}
S = {g, r, b, y, o}
S = {green, blue, yellow, orange}
The required sample space when choosing one marble is S = {g, r, b, y, o}. Option C is correct.
What is sample space?The sample space of a sample statistic is the collection of all conceivable results. A random experiment's associated event is a subset of the sample space.
here,
A paper bag contains five different colored marbles. The marbles are in the colors red, green, blue, yellow, and orange.
Sample space is given as,
S = {green, red, blue, yellow, orange}
or
Using abbreviations,
S = {g, r, b, y, o}
Thus, the sample space is S = {g, r, b, y, o}.
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PLEASE HELP
Libby flips a quarter 2 times in a row.
What is the probability of the quarter landing on heads at least 1 time?
A. 1/4
B. 1/3
C. 3/4
D. 1/2
Based on the plot, approximately how many practice puzzles
per week do members solve if they finish the contest puzzle
in one hour?
a 6
b 10
c 4
d 2
Based on the plot, the number of practice puzzles per week that members solve if they finish the contest puzzle
in one hour is c 4
How to explain the scatterplotThe line of best fit for the scatter plot shows that there is a positive correlation between the number of practice puzzles solved per week and the time it takes to solve a contest puzzle. This means that as the number of practice puzzles solved per week increases, the time it takes to solve a contest puzzle decreases.
If a member finishes a contest puzzle in one hour, they are on the line of best fit. This means that they solve approximately 4 practice puzzles per week.
The other options are incorrect. Option a is too high, option b is too low, and option d is not on the line of best fit.
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Solve the equation using any method. Select the solution(s). -(x + 9)^2 = 64. POSSIBLE ANSWERS: A)x=-1 B) no real solution C) x=-(radical symbol here)1 D) x=(radical symbol here)1
B) no real solution
Explanation
\(-(x+9)^2=64\)Step 1
make
\((a+b)^2=a^2+2ab+b^2\)then
\(-(x+9)^2=-(x^2-2\cdot9\cdot x+9^2)=-(x^2+18x+81)=-x^2-18x-81\)Hence
\(\begin{gathered} -x^2-18x-81=64 \\ -x^2-18x-81-64=0 \\ -x^2-18x-145=0 \end{gathered}\)Step 2
find x, using the quadratic formula
\(\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \end{gathered}\)Let
a=-1
b=-18
c=-145
replace,
\(\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{+18\pm\sqrt[]{-18^2-4\cdot-1\cdot-145}}{2a} \\ x=\frac{-18\pm\sqrt[]{324-580}}{-2} \\ \\ x=\frac{-18\pm\sqrt[]{-256}}{-2} \\ \end{gathered}\)Now
\(\sqrt[]{-256}\)is not a real number, so the answer is
B) no real solution
Find the smallest whole number by which 16087 should be multiplied or divided to get a perfect square
There is no whole number by which you can multiply or divide 16087 to make it a perfect square.
To determine by which number you should multiply or divide 16087 to make it a perfect square, we can analyze its prime factorization. The prime factorization of 16087 is 13 × 1237.
In order to make 16087 a perfect square, we need each prime factor to have an even exponent. However, when we examine the prime factors of 16087, we find that both 13 and 1237 have an exponent of 1.
To make the exponents even, we need to multiply or divide 16087 by additional prime factors and their respective exponents. However, since 16087 is a product of two prime numbers (13 and 1237), we cannot introduce any additional prime factors to make the exponents even.
A perfect square is a number that can be expressed as the product of two equal factors. In the case of 16087, it cannot be transformed into a perfect square by multiplying or dividing by any whole number. The prime factors 13 and 1237 remain with an exponent of 1 each, indicating that there is no integer that can be applied to make them equal and convert 16087 into a perfect square.
Therefore, there is no whole number by which you can multiply or divide 16087 to make it a perfect square.
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Cuantas Escuelas de administración hay ?
What is 100th term of 5, 12, 19, 26
Answer:
698
Step-by-step explanation:
\(a_{n}\) = \(a_{1}\) + (n - 1)d
n is the term that I want.
\(a_{1}\) is the first term.
d is the common difference. In this case 7. Seven is the number that the series is increasing every term
\(a_{100}\) = 5 + (100-1)7
\(a_{100}\) = 5 + (99)7
\(a_{100}\) = 5 + 693
\(a_{100}\) = 698
Helping in the name of Jesus.
The height of a triangle is 5 more than double the base length. If the height of the triangle is 74mm, what is the base length of the triangle
Answer:
height = 5+2xbase
74 = 5+2xbase
subtract 5 from both sides
69 = 2xbase
divide both sides by 2
34.5mm = base length
The floor of Taylor's bathroom is covered with tiles in the shape of triangles. Each triangle has a
height of Zin and a base of 12 in. If the floor of her bathroom has 40 tiles, what is the area of the
bathroom floor?
Answer: 1680
Step-by-step explanation: first we have to find the area of each triangle so we do 7 times 12 then divide by 2 which equals 42. then since there are 40 tiles we multiply by 40 which will equa 1680.
the difference between 2 numbers, a and b is 21. the difference of 5 times a and 2 times b is 18. What are the values of a and b?
Answer:
Step-by-step explanation:
a-b=21
5a-2b=18
Using elimination, we have
5a-5b=105
5a-2b=18
So:
3b=-87 so b=-29
Substituting, a=-8
(a,b)=(-8,-29)
What error did Mr. Sanders likely make, and what is the actual fraction of students who have
completed 12 or more paintings? Use the drop-down menus to explain his reasoning and correct
his mistake.
Mr. Sanders likely found that of the students have completed 12 or more paintings because
there are Choose... bars on the histogram, and Choose... of the bars represent
students with 12 or more completed paintings. The actual fraction of the students who have
completed 12 or more paintings is Choose...
Answer: (1st box) = 6 (2nd box) = 2 (3rd box) = 2/3
Step-by-step explanation:
Answer:
(1st box) = 6
(2nd box) = 2
(3rd box) = 2/3
Step-by-step explanation:
I got a big brain
log_6(x+1)+log_6x=1
Answer:
x = -3, 2
Step-by-step explanation:
\(log_6(x+1)+log_6x=1 \\ \\ log_6 \{x(x+1) \} = 1 \\ \\ x(x + 1) = {6}^{1} \\ \\ {x}^{2} + x = 6 \\ \\ {x}^{2} + x - 6 = 0 \\ \\ {x}^{2} + 3x - 2x - 6 = 0 \\ \\ x(x + 3) - 2(x + 3) = 0 \\ \\ (x + 3)(x - 2) = 0 \\ \\ x + 3 = 0 \: \: or \: \: x - 2 = 0 \\ \\ x = - 3 \: \: or \: \: x = 2 \\ \\ x = - 3, \: \: 2\)
Help pls? I rlly need it!!!
Answer:
sorry i wish i can help but i am in middle school sorry
Step-by-step explanation:
pls help ASAP this is timing meeee!!!!
Answer:
48
Step-by-step explanation:
details will be added
Which of the following situations are equal to 20? Select all that apply.
A) 25% of 80
B) 80% of 25
C) 90% of 25
D) 50% of 30
E) 80% of 30
Answer:
A and B
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
divided the numbers and them up and boom
Three grams of medication is equivalent to grains
Answer
3 grams of the medication = 46.296 grains
Explanation
We are asked to convert 3 grams of medication into grains
1 gram = 15.432 grains
3 grams = 3 × 15.432 = 46.296 grains
Hope this Helps!!!3 grams
The lines below are perpendicular. If the slope of the solid line is 1/2, what is the slope of the sashed line?
Answer:
-2
Step-by-step explanation:
can you please help me
3. To find the perimeter of a rectangle, use the equation , where P is the perimeter, l is the length and w is the width of the rectangle.
(a) A rectangular garden has a perimeter of 40 yd and a width of 5 yd. Use the equation and the replacement set to find the length of the garden. Show your work.
(b) A rectangular table top has a perimeter of 18.4 ft and a length of 6.75 ft. Use the equation and the replacement set to find the width of the table top. Show your work.
Answer:
a) 15yd
b)2.45ft
Step-by-step explanation:
P = perimeter, l=length and w = width of the rectangle
P = 2l+2w
a) 40 = 2l+2(5)
40 = 2l+10
30=2l
15=l
b) 18.4 = 2(6.75) + 2w
18.4 = 13.5+2w
4.9=2w
2.45=w
Help this will save my grade. I’m right on the edge of failing!
Answer:
Step-by-step explanation:
1. The slope is -5/2
2. There is no slope for the second one it's just y=3
3. The slope is 3
4. These are perpendicular lines
5. These lines are parallel.
6. These lines are neither perpendicular nor parallel.
7. These lines are perpendicular
8. y = 4/3x - 2
9. y = -1/2x + 5
10. x = -1
Hope this helps!
On the M53 is a sign "Warrington 20 " . Just over half a mile further on is another sign " Warrington 19" .This is not really surprising , since the distances are rounded to the nearest whole number of miles e.g. numbers of 4.5 and over but less than 5 become 5 , numbers of 4 and over but less than 4.5 become 4 Half mile further along the road is a sign showing "warrington 18" . The distance to Warrington must now be between
a. 17.5 miles and 17.6 miles
b. 17.6 miles and 18.0 miles
c. 18.0 miles and 18.2 miles
d. 18.4 miles and 18.5 miles
The distance to Warrington must now be between,
d. 18.4 miles and 18.5 miles
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place,
If it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digits after it to zeroes.
Given, On the M53 is a sign "Warrington 20 ". Just over half a mile further on is another sign " Warrington 19".
So, The distance between each sign is half or just a bit more than half a mile.
Now, Again Half mile further along the road is a sign showing "Warrington 18".
So, We have covered, Approximately 1.5 miles or a bit more.
Therefore, (20 - 1.5) = 18.5 miles or a bit less than 18.5 miles.
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Graph the equation .
y = 4x + 1
Answer:
-Picture attached-
Step-by-step explanation:
The gradient would be 4, with a rising graph and the y-intercept would be 1. I attached a picture of the graph, hope it helps.
Convert the rectangular coordinates (5,−5√3) to polar form. Let r>0 and 0≤θ<2π.
Enter your answer by filling in the boxes. Enter coordinates as simplifed fractions or radicals in simplest form.
( , )
Answer:
(10, 5π/3)
Step-by-step explanation:
To convert rectangular coordinates (5, -5√3) to polar form, we can use the following formulas:
r = √(x^2 + y^2)
θ = arctan(y/x)
Substituting the given values, we get:
r = √(5^2 + (-5√3)^2) = √(25 + 75) = √100 = 10
θ = arctan((-5√3)/5) = arctan(-√3) = -π/3
Note that the value of θ is in the fourth quadrant, which corresponds to a negative angle. However, we need to express the angle θ in the range 0 ≤ θ < 2π. To do this, we can add 2π to the angle if it is negative:
θ = -π/3 + 2π = (5π/3)
Therefore, the rectangular coordinates (5, -5√3) in polar form are (10, 5π/3).
May some one please help me with this question it’s due tomorrow.
Instructions: preform the operations to climb the pyramid! MULTIPLY to move up the pyramid and DIVIDE to move down the pyramid.
Step-by-step explanation:
here's the correct answer for this question, sorry I made a mistake before
the point representing 0 on the real number line is the
The point representing 0 on the real number line is the origin.
A number line is a visual representation of a set of real numbers. It is a straight line that is usually represented horizontally and it has a starting point, usually labeled as 0, which is called the origin.
Numbers to the right of the origin are positive, and numbers to the left of the origin are negative. The numbers on a number line are evenly spaced, and each point on the line represents a specific real number.
Number lines are useful in mathematics to represent numerical relationships, such as order, magnitude, and distance between numbers. They are also useful in teaching mathematical concepts, such as addition, subtraction, and fractions.
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1 . What do you need to find ?
2. Write an equation to represent the problem?
3. What is the solution to the problem?
Complete the table using the equation y = 4x + 3.
x -1 0 1 2 3
y __ __ __ __ __
The table of values for given equation y = 4x + 3 is:
x -1 0 1 2 3
y -1 3 7 11 15
In this question, we have been given an equation y = 4x + 3
We need to find the value of y for different values of x.
for x = -1,
y = 4(-1) + 3
y = -4 + 3
y = -1
for x = 0,
y = 4(0) + 3
y = 3
for x = 1
y = 4(1) + 3
y = 7
for x = 2,
y = 4(2) + 3
y = 11
for x = 3,
y = 4(3) + 3
y = 15
Therefore, the table of values for given equation y = 4x + 3 is:
x -1 0 1 2 3
y -1 3 7 11 15
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Fatema will spend more than $30 on gifts. So far, she has spent $14 . What are the possible additional amounts she will spend? Use c for the additional amount (in dollars) . Write your answer as an inequality solved for c .
Answer:
c > $16
Step-by-step explanation:
Since she already spent $14 from the original $30 then the value of C would be the following inequality.
c > 30 - 14
c > 16
Therefore, the additional amount she could spend needs to be greater than $16 in order for Fatema to actually spend more than the $30 she wanted to spend on gifts in total.