Answer:
A line that passes (2, 0) and (-6, 3) has slope:
S1 = (-6 -2)/(3 - 0) = -4/3
Another line that is perpendicular with above line has slope:
S2 = -1/S1 = -1/(-4/3) = 3/4
=> Option B is correct
Hope this helps
:)
The segment with endpoints (2,0) and (-6,3) has a line perpendicular to it with a slope of 4/3.
What is the Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
From the general formula of the slope:
slope = (change in y) / (change in x)
The change in y is 3 - 0 = 3, and the change in x is -6 - 2 = -8. So the slope of the segment is:
slope = (3 - 0) / (-6 - 2) = -3/4
To find the slope of the line perpendicular to the segment, we know that it must have the opposite reciprocal slope. That is:
the slope of perpendicular line = -1 / slope of segment
slope of perpendicular line = -1 / (-3/4) = 4/3
Therefore, the slope of the line perpendicular to the segment with endpoints (2,0) and (-6,3) is 4/3.
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the floor of a building consists of 2000 tiles which are rhombus shaped and each of is diagonal is 40 cm and 25 cm in length. find the total cost of polishing the floor, if the cost per m² is $5.
WHAT IS THE TOTAL COST
ANSWER QUICK
Answer:
$2500 is the total cost.
Step-by-step explanation:
Area of rhombus = 40(25)/2=1000/2=500
500*5=2500
Therefore, $2500 is the total cost.
I hope this helped and have a good rest of your day!
i need help with this the question is: Josh has 27 signed baseballs. He places the baseballs equally on 3 shelves. How many baseballs are on the shelf. Thanks are helping
Answer:
If Josh had 27 baseballs and has 3 shelves, then if he splits the 27 between 3 he will get 9.
Step-by-step explanation:
27 ÷ 3 = 9
Hope this helps.
A laboratory tested n = 110 chicken eggs and found that the mean amount of cholesterol was LaTeX: \bar{x}x ¯ = 92 milligrams with σ = 8 milligrams. Find the margin of error E corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs.
Answer:
The margin of error corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is of 1.495 miligrams.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error E as such
[tex]E = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
In this question:
[tex]\sigma = 8, n = 110[/tex]. So
[tex]E = 1.96\frac{8}{\sqrt{110}} = 1.495[/tex]
The margin of error corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is of 1.495 miligrams.
A farmer sells 6.5 kilograms of pears and apples at the farmer's market. 3/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmers market?
Answer:
1.625 kilograms
Step-by-step explanation:
Since total weight of pears and apples is 6.5 kilograms and 3/4 of this weight is pears, the weight of the pears is
→ 6.5 x 3/4 = 4.875 kilograms
Since the weight of the pears is 4.875, we can subtract it from the total weight to find the weight of the apples
→ 6.5 - 4.875 = 1.625 kilograms
Answer:
1.625 kg
Step-by-step explanation:
Total weight sold by the farmer =6.5 kilograms
If 3/4 of the weight is pears:
Weight proportion of apple[tex]=1-\frac{3}{4}= \frac{1}{4}[/tex]
Therefore:
Weight of Apples sold at the market [tex]= \frac{1}{4} X 6.5 kg\\[/tex]
=1.625 kg
The farmer sold 1.625 kilograms of apple.
Linear function A and linear function B both have the same input values as shown below. Why will the output values for linear function A always be different than the corresponding output values for linear function B? 2 tables. A 2-column table with 5 rows titled Linear Function A. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries 3, 7, 11, 15, 19. A 2-column table titled Linear Function B. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries 4, 8, 12, 16, 20. The initial values of the two functions are different, and the rates of change of the two functions are also different. The initial values of the two functions are different, and the rates of change of the two functions are the same. The initial values of the two functions are the same, and the rates of change of the two functions are different. The initial values of the two functions are the same, and the rates of change of the two functions are also the same.
Answer:
The correct answer is: B. The initial values of the two functions are different, and the rates of change of the two functions are the same
Step-by-step explanation: Trust me
Answer: : B. The initial values of the two functions are different, and the rates of change of the two functions are the same
Step-by-step explanation: on edgenuidy
Measurements of a circle
Answer:
253 degree is the answer
If m<22 =122 what is m<5
Answer:
m = -5
Step-by-step explanation:
Step 1 :
Pulling out like terms/ factors
Add 5 to both sides of the equation :
-m = 5
Multiply both sides of the equation by (-1) : m = -5
Hope this helps.
A line has a slope of 3/7. What is the slope of any line parallel to this line?
a) -7/3
b) 0
c) 3/7
d) 7/3
The slope of any line parallel to this line would be c) 3/7.
What are parallel lines?Parallel lines are those lines that are equal distances apart and often of the same length. So, for the given slope where we have parallel lines, we can expect to have lines of the same slope. Thus we can arrive at 3/7.
Note that parallel lines have the same slope. So, since the first slope is 3/7, we can expect the second to be the same thing.
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Prime factors of 24x2
Answer:
Step-by-step explanation:
24 is a composite number.
Prime factorization: 24 = 2 x 2 x 2 x 3, which can be written 24 = 2³ x 3
The exponents in the prime factorization are 3 and 1. Adding one to each and multiplying we get (3 + 1)(1 + 1) = 4 x 2 = 8. Therefore 24 has exactly 8 factors.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factor pairs: 24 = 1 x 24, 2 x 12, 3 x 8, or 4 x 6
7^2 + 1 - 5 x 3 where do the parenthesis go if the value is 135
Answer:
(7²+(1-5))×3=
Step-by-step explanation:
Let's try this
(7²+(1-5))×3=
(49-4)×3=
45×3=
135
(Worked first try :o!)
Can someone please help with this question
Answer:
Option B.
Step-by-step explanation:
The given equation of trend line is
[tex]y=\dfrac{4}{5}x[/tex]
where, x is time in minutes and y is amount of water in gallons.
It is given that the rate (gallons per minute) continues approximately.
We need to find the amount of water flow from the hose in 45 minutes.
Substitute x=45 in the given equation.
[tex]y=\dfrac{4}{5}(45)[/tex]
[tex]y=4\times 9[/tex]
[tex]y=36[/tex]
It means 36 gallons of water from hose in 45 minutes.
Therefore, the correct option is B.
Please help me with this question it is in the picture
Answer:
complementary angles
Step-by-step explanation:
The sum of the angles is 67+23 = 90
When angles sum together to 90, the are called complementary
Answer:
Option A
Step-by-step explanation:
The measures of the two angles have a sum of 90°.
[tex]67+23=90[/tex]
Therefore, they are complementary angles, since complementary angles have a total measure of 90°.
Option A is the best answer.
Brainilest Appreciated.
please help quickly !!!!
Answer:
8.4 * x = 23.94
Step-by-step explanation:
The numbers of gallons times the cost per gallon equals the total cost
8.4 * cost = 23.94
Let x be the cost
8.4 * x = 23.94
Answer:
A... 8.4x=23.94
From that equation, we can solve
Si: P(x+2)=2(x+2)^3 + x^2+4x +4 : Calcular P(3)
Answer:
Step-by-step explanation:
Please help me now plz I will mark you brainliest
Answer:
4.41
Step-by-step explanation:
We can use trig to solve for the missing side (specifically cosine). cos(x)=adjacent side/hypotenuse. We have the x value (which is the angle shown) which is 25. We have the adjacent side of that angle which is 4. We are solving for the hypotenuse (lets call that h). When we plug in values into the equation cos(x)=adjacent/hypotenuse, we get cos(25)=4/h. cos 25=0.9063. So 0.9063=4/h. Multiply both sides by h and we get 0.9063h=4. Now divide 0.9063 on both sides to isolate h and we get 4.4135... but since you want hundredths, its 4.41
What percent of 145 is 82
Answer:
56.55
Step-by-step explanation:
PLEASE ANSWER !!!!!!!!!!!
12. Write a function rule in slope-intercept form for the statement: the output is one less than half of the opposite of the input.
Answer:
The function rule is:
[tex]y=-\frac{1}{2} x-1[/tex]
Step-by-step explanation:
We identify the output with the variable "y", the "input with the variable"x". Notice also that the "opposite of the input is "-x" (negative x), and therefore the words "the output is one less than half of the opposite of the input" translate into:
[tex]y=\frac{1}{2} (-x)-1\\y=-\frac{1}{2} x-1[/tex]
what is equivalent to (125^2/125^4/3)
Answer:
25
Step-by-step explanation:
Move 125^4/3 to the numerator using the negative exponent rule 1/b^n=b^-n.
125^2 x 125^4/3
Simplify the expression.
5^3(2/3)
Cancel the common factor of 3.
5^2
Raise 5 to the power of 2.
25
2(q–8)<–10 solve for r
Answer:
q < 3
Step-by-step explanation:
2(q–8)<–10
Divide each side by 2
2/2(q–8)<–10/2
q-8 < - 5
Add 8 to each side
q-8+8 < - 5+8
q < 3
Answer:
[tex] = q < 3[/tex]
Step-by-step explanation:
[tex]2(q - 8) < - 10 \\ 2q - 16 < - 10 \\ 2q < - 10 +1 6 \\ 2q < 6\\ \frac{2q}{2} < \frac{6}{2} \\ = q < 3[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A carousel factory has 1252 carousel horses. 48 horse’s are placed on each carousel. How many carousel can the factory build?
Answer: they can build 26 Carousels.
Step-by-step explanation:
what is the answer to the following question.
7/2 times 5 times 7/5
Answer:
24 1/2
Step-by-step explanation:
First multiply 7/2 by 5.
7/2 x 5 = 35/2
Then, multiply 35/2 by 7/5.
35/2 x 7/5 = 245/10
Simplify 245/10.
245/10 = 49/2
Convert to mixed fraction.
49/2 = 24 1/2
Therefore, the simplest form of 7/2 x 5 x 7/5 is 24 and 1/2.
Answer:
[tex]24.5[/tex]
hope this helps
brainliest appreciated
good luck!! have a nice day!
The figure shown in the right is made up of a square and a circle. Find the perimeter of the shaded region.
A. 16+2π cm
B. 12+2π cm
C. 12+4π cm
D. 16+4π cm
Answer:
B. 12 + 2pi cm
Step-by-step explanation:
The shaded region is made up of 3 square sides and one half circle. The three square sides are each 4, which means that those altogether equal 12.
The circle's circumference can be found by using the equation c = (d)pi
The diameter is 4, so the whole circumference is 4pi. However, you only need half of a circle, which is represented by 2pi.
Add them all together, and you get 12 + 2pi cm.
Answer: i think B
Step-by-step explanation:
Which statements are true?
Select each correct answer.
All squares are rhombuses.
All parallelograms are quadrilaterals.
All rectangles are squares.
All rhombuses are rectangles.
Answer:
the true statement is
All parallelograms are quadrilaterals
Step-by-step explanation:
The answer is that ''All squares are rhombuses'' and ''All parallelograms are quadrilaterals.'' It can't be ''All rectangles are squares.'', because it is not valid. But if it were the other way around it would be correct. It can't be "All rhombuses are rectangles." because it's not valid. Only some can be rectangles.
P.S. Hope this helps!
In geometry, the kissing number of a mathematical space is defined as the greatest number of non-overlapping unit spheres that can be arranged in that space such that they each touch a common unit sphere.
Is the explanation true or false?
Sorry bout the cringe btw... it’s my math problem.
I’ll mark brainleist if you anwser.
Answer:
this explanation is false
Please help!
You flip a coin twice.
What is the probability of getting tails and then getting heads?
Write your answer as a percentage.
___%
Answer: 25%
Step-by-step explanation:
You have a 1/2 chance of landing a heads or tails both times. So, you multiply 1/2 *1/2 = 1/4. 1/4 = 0.25 = 25%.
QUICK HELP PLS! Q15: A large city has 6 libraries. Each library has at least 1 computer. The median number of computers is 12. The difference between the maximum number of computers and the minimum number of computers is 35. Which statement are true about the number of computers in these libraries? Select each correct answer. A There must be 3 libraries with 12 computers. B A library could have less than 12 computers. C A library could have more than 50 computers. D All libraries must have less than 35 computers. E At least 1 library does bot have 12 computers.
Answer:
B A library could have less than 12 computers.
D All libraries must have less than 35 computers.
E At least 1 library does bot have 12 computers.
Given the formula D=qh, solve for q.
Answer:
D/ h =q
Step-by-step explanation:
D = qh
Divide each side by h to isolate q
D/ h = dh/h
D/ h =q
Step-by-step explanation: To solve for q in the equation d = qh, all we have to do is get q by itself on the right side of the equation.
Since q is being multiplied by h, to get q by itself,
we simply divide both sides of the equation by h.
On the right, the h's cancel and we are re left with q.
On the left we have [tex]\frac{d}{h}[/tex].
So our answer is [tex]\frac{d}{h} = q[/tex].
Divide 55 in the ratio 3:2
Answer:
33 and 22
Step-by-step explanation:
total ratio is 5
55÷5 =11 ( ratio 1)
ratio 3 : 11x3 = 33
ratio 2 : 11x2 = 22
hope this helps
Together there are 754 students and teachers in the meeting if the ratio of students to teachers is 27:2 how many teachers are there
Answer:
52 teachers
Step-by-step explanation:
27x+2x=754
29x=754
x=26
2(26)=52
The number of teachers are 52.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Total number of people = 754
The ratio of students to teachers = 27:2
Let x be the number of people
then,
⇒ [tex]27x+2x=274[/tex]
⇒ [tex]29x=274[/tex]
⇒ [tex]x=\frac{274}{29}[/tex]
⇒ [tex]x=26[/tex]
Thus number of students = [tex]27x[/tex]
⇒ [tex]27(26)=702[/tex]
and number of teachers = [tex]2x[/tex]
⇒ [tex]2(26)=52[/tex]
Hence we can conclude that the number of teachers are 52.
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What are the solutions of the equation: x2 – 1 = 15?
x = ± sqrt 14
x = ± sqrt 15
x = ±4
x = ±8
Answer:
x = ± 4
Step-by-step explanation:
Given
x² - 1 = 15 ( add 1 to both sides )
x² = 16 ( take the square root of both sides )
x = ± [tex]\sqrt{16}[/tex] = ± 4