Answer:
Step-by-step explanation:
-22.7
What is an equation of the line that passes through the points (-7, 3) and (5, 3)?
the equation of the line passing through the given points is y = 3
What is an equation of the line?
An expression which is satisfied by every point on the line is known as equation of the line. generally it is given in y = mx + c form where m is the slope and c is the y-intercept
We are given two point (-7,3) and (5,3)
We first find the slope of the lines passing through the given points
Slope = [tex]\frac{3-3}{5+7}[/tex]
Slope = 0
Substituting the value in the equation we get
y = c
Now the value of y in both the cases is 3
Substituting that we get c = 3
Hence y = 3 is the required equation of the line
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Please help thank you
By comparing the fractions of rocks that skip over the poind for Jessica and Henry, we will see that Jessica gets more rocks to skip over the pond.
Who gets more rocks to skip over the pond?We know that for every 9 rocks that Herny throws, 5 skip over the pond. Then the fraction for Henry is:
H = 5/9
While for Jessica we know that for every 12 that she throws, 7 skip over the pond, so her fraction is:
J = 7/12
Now we only need to see which one of the fractions is larger.
If we simplify both we will get:
H = 5/9 = 0.556
J = 7/12 = 0.583
So we can see that Jessica's fraction is larger, which means that she will get more rocks.
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what is the future amount of 12,000 invested for 5 years at 14% compounded monthly?
The total amount accrued, principal plus interest, with compound interest on a principal of $12,000.00 at a rate of 14% per year compounded 12 times per year over 5 years is $24,067.32.The amount of the initial loan, or principal, is multiplied by one plus the annual interest rate raised to the number of compound periods minus one to determine compound interest.
what is compound interest?To begin, change R from a percentage to a decimal, using the formula:
r = R/100 r = 14/100
r = 0.14 rate per year;
Next, find A by solving
A = P(1 + r/n)nt A = 12,000.00(1 + 0.14/12)(12). (5)
A = 12,000.00(1 + 0.011666666666667)(60) (60)
A = $24,067.32
Summary: The total amount accrued, principal plus interest, with compound interest on a principal of $12,000.00 at a rate of 14% per year compounded 12 times per year over 5 years is $24,067.32.
The amount of the initial loan, or principal, is multiplied by one plus the annual interest rate raised to the number of compound periods minus one to determine compound interest. You will then be left with the loan balance plus compound interest.
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PLSSSS HELPPPPP MEEE !!!!!
All the angles in a triangle add up to 180 degrees.
40 + x + (5x + 14) = 180
54 + 6x = 180
6x = 126
x = 21 degrees
Answer:
x=21
Step-by-step explanation:
a triangle adds up to 180 degree so to find x we will use the formula
(5x+14)+x+40=180
subtract 40 from each side so we have
(5x+14)+x=140
we have 2 terms with the same factor (x) so combine like terms
6x+14=140
subtract 14 from both sides
6x=126
divide both sides by 6
x=21
check your answer
5(21)+14
105+14=119
119+ 21+40=180
so x is equal to 21
Compare and Explain: Are they equivalent?
$3 for 6 bagels; $9 for 24 bagels
Answer: No
Step-by-step explanation: You want to find the unit rate for each bagel. 6/3 is 2 dollars, so each bagel is going to cost 2 dollars. If your getting 24 bagels for 9 dollars, 24/9 is 2 2/3 dollars for each bagel. 2 ≠ 2 2/3 so therefore, they're not the same.
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The function has a maximum value of 30 at x = 3.
Given Function:
f(x) = -3+18x+3
here a = -3 , b = 18 , c = 3
a is negative so it has maximum value
x = -b/2a
= -18/2*(-3)
= -18/-6
= 18/6
= 3
f(x) = -3* + 18*3 + 3
= -3*9+54+3
= -27+54+3
= 27+3
= 30
Therefore the function has a maximum value of 30 at x = 3.
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3) an applicant for a job has to take an aptitude test. suppose that the time it takes to finish the test is normally distributed with mean time 69 minutes and standard deviation 8 minutes. determine how much time an applicant should be given so that 97 percent of them will be able to complete the test.
An applicant needs 84.04 minutes to finish the test in order for 97 percent of them to pass.
An aptitude test is required of job candidates. Let's assume that the test's completion time has a mean of 69 minutes and a standard deviation of 8 minutes.
To get how much time an applicant should be given so that 97 percent of them will be able to complete the test.
Mean (μ) = 69
standard deviation (σ) =8
Hence, due to population standard deviation (σ) is known to use the normal distribution.
x_ Norm (μ,σ)
x_ Norm (69,8)
Therefore, x_ random variable that represents the time of applicant;
P(X<x) = 0.97
Corresponding to the left tail area of 0.97 lies in the z-table of z row of 1.8 and column 0.08.
P(z < 1.88) = 0.97
z < 1.88
(X - μ)/σ < 1.88
X < 1.88 (8) + 69
X < 84.04
The time taken by an applicant so that 97 percent of them will be able to complete the test is 84.04 minutes.
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Write the following values in ascending order (smallest to largest):
0.1, 0.09, 2%,7/10,19/100
Solve the equation 750 +0.05x = 1,100+ 0.025x for x.
O x = 140
O x = 350
O x = 1,850
O x = 14,000
Answer:
a
Step-by-step explanation:
The value of x will be; x = 14,000
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We are given that the equation 750 +0.05x = 1,100+ 0.025x
Here, we need to solve for x;
750 +0.05x = 1,100+ 0.025x
combine the like terms;
750 - 1,100= -0.05x + 0.025x
-350 = - 0.025x
x = 14,000
Therefore, the solution will be as;
x = 14,000
The value of x will be; x = 14,000
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Lin rode a bike 20 miles in 150 minutes. She rode at a constant speed. How long did it take her to ride 6 miles
Answer: 45 minutes
Step-by-step explanation:
She rides 150/20 minutes per mile which is 7.5 minutes per mile. So it would take her 45 minutes to ride 6 miles because 6 × 7.5 = 45.
what is the probability that a couple will have at least four sons if they plan to have 5 children and if the probability of having a son equals the probability of having a daughter? (enter your probability as a fraction.)
0.1875 is the probability of having a daughter .
Describe probability using an example?
By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained. The most basic illustration is a coin toss. There are only two outcomes that can occur when you flip a coin: either heads or tails.Let X = No. of sons
n = 5 and p = 0.5, because probability of having son and daughter is same.
X follows Binomial distribution with parameter n and p. Then its pmf is,
P(X= x) = \binom{n}{x}p^xq^{(n-x)} \ \ \ \ \ x = 0,1,----5
Now,
P(X= 5) = \binom{5}{5}(0.5)^5 (0.5)^{(5-5)} \\ \\ \\ P(X= 5) = 0.03125
Probability of haveing at least four sons
P(X\ge4) = P(X=4) +P(X=5) \\\\ P(X\ge4) = 0.15625 + 0.03125 \\\\ P(X\ge4) = 0.1875
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Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Skill plans
At a candy store, Dean bought 2 kilograms of jelly beans and 3 kilograms of gummy worms
for $38. Meanwhile, Sue bought 3 kilograms of jelly beans and 3 kilograms of gummy worms
for $45. How much does the candy cost?
A kilogram of jelly beans costs $
and a kilogram of gummy worms costs $
The price of one kilogram of jelly bean and gummy worms is $7 and $8 respectively.
Let the price of 1 kilogram of jelly bean cost be x
and the price of 1 kilograms of gummy worms be y
Dean bought 2 kilograms of jelly beans and 3 kilograms of gummy worms
for $38
2x + 3y = 38......equation 1
Sue bought 3 kilograms of jelly beans and 3 kilograms of gummy worms
for $45
3x + 3y = 45........equation 2
Subtracting equation 2 from equation 1
2x + 3y - (3x + 3y) = 38 - 45
2x - 3x + 3y - 3y = -7
-x = -7
x = 7
2(7) + 3y = 38
14 + 3y = 38
3y = 24
y = 8
Therefore, the price of one kilogram of jelly bean and gummy worms is $7 and $8 respectively.
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Given in a plane the points A(-1,4),B(2,3),C(4,5),D(m,7)
Calculate m knowing that AB // CD
helppppp step by step
Answer:
m = -2
Step-by-step explanation:
slope of AB
(4-3)/(-1-2)= 1/-3 = -1/3
parallel lines have the same slope
slope of CD = -1/3
we can now find the line that passes through the point C
y-5= -1/3(x-4)
y = -1/3 x +4/3 +5
y = -1/3 x + (4+15)/3
y = -1/3 x + 19/3
this line must passes also through the point D
we know its y, so:
7 = -1/3 x + 19/3
(7 * 3) = (-1/3 x + 19/3) * 3
21 = - x + 19
x = 19 - 21
x = -2
20 POINTS PLEASE HELP!!!
Solve the following system of equations. Show your work.
y=x−5
y=5x−17
Solution:
The solution to the system of equations y = x − 5 and y = 5x − 17 is x = 3 and y = -2
How to determine the solution to the system of equations?The system of equations is given as
y = x − 5
y = 5x − 17
Substitute y = x − 5 in the equation y = 5x − 17
So, we have
x - 5 = 5x − 17
Evaluate the like terms
4x = 12
Divide both sides by 4
x = 3
Substitute x = 3 in y = x − 5
y = 3 − 5
So, we have
y = -2
Hence, the solution is x = 3 and y = -2
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what is the perimeter of a square if it's area is 81mm ²
Answer:
36 mm
Step-by-step explanation:
from the area we find the side by taking the square root, having found the side we multiply it by 4 and we have the perimeter, we can solve it with a simple expression that summarizes what I wrote
4√81 =
4 × 9 =
36 mm
a study by tourism ontario revealed that 50% of the vacationers going to toronto visit the cn tower, 40% visit skydome and 35% visit both. what is the probability that a vacationer will visit at least one of these magnificent attractions?
0.55 is the probability that a vacationer will visit at least one of these magnificent attractions.
What is probability ?Probability turned into added into arithmetic to are expecting the possibility of an occasion occurring. Probability essentially approach how in all likelihood it's miles that some thing will happen. This is the fundamental principle of possibility and is likewise utilized in possibility distributions to examine feasible consequences of random experiments.
Calculation50% of the vacationers going to toronto visit the CN tower= 0.5
40% visit skydome= 0.4
35% visit both=0.35
P( At lease one) = P(Toronto) + P(Skydome) - P(Both)
P( At lease one) = 0.4 + 0.5 - 0.35
P( At lease one) = 0.55
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Isabel got a prepaid debit card with $20 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 7
cents per yard. If after that purchase there was $17.13 left on the card, how many yards of ribbon did Isabel buy?
The number of yards of ribbon Isabel bought is 41 yards.
It is given in the question that:-
Money in prepaid debit card = $ 20
Price of ribbon = 7 cents per yard
Money left on the card after buying the ribbon = $ 17.13
We have to find the number of cards of ribbon Isabel bought.
Money used in buying the ribbon = 20 - 17.13 = $ 2.87
We know that,
$ 1 = 100 cents
Hence, according to the data given in the question, we can write,
$ 2.87 = 287 cents
Yards of ribbon bought = 287/7 = 41 yards.
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how many 4-letter passwords can be formed using the letters a, b, c, d, e, f, g if repetition of letters is not allowed and the first letter can only be a, b or c?
840 are 4-letter passwords can be formed using the letters by permutation .
What are some examples of permutation?
A permutation is a set up of things in a specific order. In this arrangement, the components or components of sets are organized in a linear or sequential order. The permutation of the set A=1,6 is 2, for instance, 1,6, and 6,1. The components of set A cannot be arranged in any other way, as you can see.We are to count all possible 4-letter passwords that can be generated from the letters a, b, c, d, e, f, g .
There are 7 letters in total.
n = 7 r = 4
P(n , r ) = 7!/( n - r )!
P( 7 ,4 ) = 7!/( 7 - 4)!
= 7!/3!
= 7 * 6 * 5 * 4 * 3 * 2 * 1/3!
= 7 * 6 * 5 * 4
= 840
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Find the angle of DE
The Answers is 90
Step-by-step explanation: Imagion taking 4 DE and make a square out of it. All sides of a square is 90 degress so De is 90 degress
Find the slope of the line that contains (1, 9) and (6, 6).
Answer:
Step-by-step explanation:
To find the slope, subtract the y values, and divide it by subtracting the x values. The order matters!
(9-6)/(1-6)=-3/5
examples of linear equation
Line K is represented by the equation y = -3/2x + 1. Line L is perpendicular to line K and passes through the point (6,2). Determine the equation is line L.
Answer:
y = (2/3)y - 2
Step-by-step explanation:
Linear equations of the form y=mx+b, describe the slope, m, and the y-intercept, b (the value of y when x=0).
Line K
y = -(3/2)x + 1 tells us that it has a slope of -(3/2) and crosses the y axis (x=0) at y = 1.
Perpendicular Lines
Perpendicular lines have a useful property in that they have a slope that is the "negative inverse" of the line they are perpendicular to. If, for example, we were ever asked what is the slope of a line perpendicular to Line L (yes, it happens), we could, with minimal effort, respond "It is the negative inverse of -(3/2)," which is a slope of (2/3).
Line L
We just accidently answered a key question when we found the negative inverse of the slope for Line K, (2/3). That will be the slope of Line L that will make it perpendicular to Line K.
Line L will have the form y = (2/3)x + b
This line will be perpendicular to Line K, no matter the value of b. But we want a perpendicular line that goes through point (6,2), so we need to find a value of b that will force it to go through that point.
The role b has in our equation is simply moving it up or down. If b were 0, the line will go through the origin (0,0). If b were 5, it would interect the y axis at 5 (0,5). We could draw a graph and get a pretty good idea what b would have to be for the line to go throgh (6,2), but most prefer the easier route: Use the (x,y) value in the above equation and solve for b. Its easy, and works great:
y = (2/3)x + b for (6,2)
2 = (2/3)(6) + b
b = 2 - (2/3)*(6)
b = 2 - 4
b = -2
The equation for Line L is thus: y = (2/3)y - 2
See the attached graph. Included are equations [marked Demo Line 1 and 2] with 2 random values of b (1 and 0), in order to:
demonstrate how b impacts the line, andsuggest try using DESMOS as a free online graphing tool.
One leg of a right triangle is 8 units long, and its hypotenuse is 14 units long. What is the length of the other leg? Round to the nearest whole number.
The other leg has its length to be 11.49 units
How to determine the length of the other leg distance?To calculate the length of the other leg distance, we make use of the Pythagoras theorem
Mathematically, this theorem is represented by:
w² = y² + z²
Such that x = hypotenuse, y = leg and z = other leg
From the question, we have the following parameters
w = 14, y = 8 and z = the other leg
Substituting these values in w² = y² + z²
14² = 8² + y²
Evaluate the exponents
196 = 64 + y²
Evaluate the like terms
y² = 132
Take the square roots of both sides
y = 11.49
Hence, the length of the other leg is 11.49 units
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Answer: 11 units
Step-by-step explanation: i took the test and got it right
A horse that weighs 1 1/4 tons carries a 110-pound person, a 15-ounce water bottle, and a 16 1/2-pound basket. What is the total weight of the horse, riders, and items?
Answer:
143.75
Step-by-step explanation:
11/4+110+15+16 1/2=143.75
Please help! triangles PTS&QTR are congruent identify their common side or angle
Answer:
∠T
Step-by-step explanation:
∠T is the common angle found in both triangles.
In ΔPTS, ∠PTS represents ∠T.
In ΔQTR, ∠T is represented by ∠QTR.
Answer:
The angle T is common side.
Step-by-step explanation:
Given triangles,
→ ∆PTS & ∆QTR
Now we have to,
→ fInd common angle of both triangles.
The common angle is,
→ <T (angle T)
→ As it is present in both triangles.
Hence, the common part is angle T.
help meeeeeeeeeeeeee pleaseeeeeeeeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
t =2.45s
Step-by-step explanation:
H=-16t2+96t
then, -16t2= -96t
divide both sides by 16
-16t2/16 = -96t/16
-t2 = -6
t2=6
t=√6
t=2.45
Determine the quadratic function of the form f(x)= a(x - h)² + k whose graph is given on the
right.
The quadratic function will be f(x) = 2[tex]x^{2}[/tex] + 4x + 15
General equation of quadratic is
f(x) = a[tex]x^{2}[/tex] + bx + c
and Standard form is
f(x) =a [tex](x-h)^{2}[/tex] + k
where h , k are coordinates of vertex
and x , y represent some point on the graph.
By replacing f(x) with y in standard equation we get
y = a[tex](x-h)^{2}[/tex] + k
Put value of x , y , h , k from the graph.
h = -2
k = 7
x = 0
y = 9
9 = a (4) + 7
a = 2
Now put value of a in standard equation
f(x) = 2 [tex](x + 2)^{2}[/tex] + 7
f(x) = 2[tex]x^{2}[/tex] + 4x + 15
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3X + 4X - 2 = 12
Please help again I’m not very smart lol
[tex]{ \pink{ \boxed{ \blue{ \sf{x = 2}}}}}[/tex]
Step-by-step explanation:
[tex]{ \red{ \sf{3x + 4x - 2 = 12}}}[/tex]
[tex]{ \red{ \sf{7x = 12 + 2}}}[/tex]
[tex]{ \red{ \sf{7x = 14}}}[/tex]
[tex]{ \red{ \sf{x = \frac{14}{7}}}} [/tex]
[tex]{ \blue{ \boxed{ \green{ \sf{x = 2}}}}}[/tex]
a catering company needs 8.75 lb of shrimp for a small party. they buy lb of jumbo shrimp,3 2 3 lb of medium-sized shrimp, and some mini-shrimp. how many pounds of mini-shrimp do they2 5 8 buy?
Finally, we have [tex]2\frac{11}{24}[/tex] lbs of mini shrimps.
Given that;
A catering company needs 8.75 lbs of shrimp for a small party. they buy [tex]3\frac{2}{3}[/tex] lbs of jumbo shrimps, [tex]2\frac{5}{8}[/tex] lbs of medium-sized shrimps, and some mini-shrimps.
The total of 8.75th is changed as [tex]8\frac{3}{4}th\\[/tex]
Sum of [tex]3\frac{2}{3}[/tex] + [tex]2\frac{5}{8}[/tex] this is bought by the company.
So, to purchase the remaining [tex]8\frac{3}{4}th\\[/tex] - [tex]3\frac{2}{3}[/tex] - [tex]2\frac{5}{8}[/tex]
We use a common denominator of 24 for the fraction parts.
Change [tex]8\frac{3}{4}[/tex] as [tex]8\frac{18}{24}[/tex]
Similarly, convert;
[tex]3\frac{2}{3}[/tex] as [tex]3\frac{16}{24}[/tex]
[tex]2\frac{5}{8}[/tex] as [tex]2\frac{15}{24}[/tex]
By solving all the above conversions, we get;
[tex]\frac{42-16-15}{24}[/tex] = 11/24
Considering all the factors together we have [tex]2\frac{11}{24}[/tex] lbs of mini shrimps.
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Drag the tiles to the correct boxes. Not all tiles will be used.
Determine which steps are used to find the product shown. Put the steps in the order in which they would be performed.
Determine which steps are used to find the product shown. Put the steps in the order in which they would be performed.
See photo below. Comment for more clarification.
