Answer: 3x+y=5
Step-by-step explanation:
Equation of a line that has slope(m) and passes through point (a,b) is given by :-
[tex](y-b)=m(x-a)[/tex]
Given: Point = (3,-4)
Slope =-3
Then, the equation of the required line:
[tex](y-(-4))=-3(x-3)\\\\\Rightarrow\ (y+4)=-3(x-3)\\\\\Rightarrow\ y+4=-3x+9\\\\\Rightarrow\ 3x+y=9-4\\\\\Rightarrow\ 3x+y=5\ \ \ \ [\text{Standard form: Ax+By=C}][/tex]
Hence, required equation: 3x+y=5
Ryan drinks 1 1/2 liters of water every 3/4 of an hour at a constant rate. How many liters of water does Ryan drink in one hour
Answer:
2 litres of water
Step-by-step explanation:
If Ryan drinks 1 1/2 liters of water every 3/4 of an hour at a constant rate, this can also be expressed as;
1 1/2 litres = 3/4 hour
To get the amount of litres Ryan drank for 1 hour
x = 1 hour
Divide both equations
(3/2)/x = (3/4)/1
3/2x = 3/4
2x * 3 = 3 * 4
6x = 12
x = 12/6
x = 2
Hence Ryan drinks 2 litres of water in an hour
determine the standard form of the equation of the line that passes through (6,0) and (2,-7). (-7x-4y=-42) (7x-4y=42) (-7x+4y=42) (4x+7y=-42)
Answer:
[tex]7x - 4y = 42[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (6,0)[/tex]
[tex](x_2,y_2) = (2,-7)[/tex]
Required
Determine the equation in standard form
First, calculate the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{-7 -0}{2 - 6}[/tex]
[tex]m = \frac{-7}{-4}[/tex]
[tex]m = \frac{7}{4}[/tex]
The equation in standard form is calculated using:
[tex]y - y_1 = m(x - x_1 )[/tex]
This gives:
[tex]y - 0 = \frac{7}{4}(x - 6)[/tex]
[tex]y = \frac{7}{4}(x - 6)[/tex]
Cross Multiply
[tex]4y = 7(x - 6)[/tex]
Open bracket
[tex]4y = 7x - 42[/tex]
Subtract 7x from both sides
[tex]-7x + 4y = 7x - 7x - 42[/tex]
[tex]-7x + 4y = - 42[/tex]
Multiply through by -1
[tex]-1(-7x + 4y) = - 42*-1[/tex]
[tex]7x - 4y = 42[/tex]
Samples of two different models of cars were selected, and the actual speed for each car was determined when the speedometer registered 50 mph. The resulting 95% confidence intervals for true mean actual speed were (51.7, 53.1) and (49.1, 50.3). Assuming that the two sample standard deviations are equal, which confidence interval is based on the larger sample size
Answer:
n₁ > n₂ Sample size of the first sample is bigger
Step-by-step explanation:
CI = 95 % α = 5 % α = 0,05
We know the bell shape curve of the normal distribution is symmetrical with respect to the mean, therefore we only need to evaluate one tail of the samples
Then from z-table we find z(c) = 1,64
CI = ( μ₀ - z(c)*σ /√n < X < μ₀ + z(c)*σ /√n )
So we must compare the tails of the two CI
Let´s call n₁ and n₂ the samples size of two different samples
The CI of the samples begins at
sample 1 μ₀ - z(c)*σ /√n₁ and for sample 2 μ₀ - z(c)*σ /√n₂
that means 51,7 = μ₀ - z(c)*σ /√n₁ (1)
and 49,1 = μ₀ - z(c)*σ /√n₂ (2)
Where μ₀ ; z(c) = 1,64 ; σ are equal in both equations
Now by simple inspection, we note that the second term on the right side of the second equation should be bigger than the second term on the right side of the first equation
then
z(c)*σ /√n₂ > z(c)*σ /√n₁
Then n₂ need to be smaller than n₁
n₁ > n₂
c) Which of these numbers is a square number
A
4 x 10^5
B
9 x 10^4
C
4 x 10^3
D
9 x 10^3
9514 1404 393
Answer:
B. 9 x 10^4
Step-by-step explanation:
The square number will be a square multiplied by 10 to an even power. Only one choice has an even power of 10.
9 x 10^4
Answer please i need answer by 11:00 est
Step-by-step explanation:
2*(1/4)=0.25*2= 0.5 = (2/4)
(2/4) + (3/4)= (5/4) =
Write the exponent for the expression.
1/9 x 1/9 x 1/9=?
HELP FAST plz
Step-by-step explanation: To find the exponent, we look at the expression again and see how much of the same number or fraction is repeated. Since the main number is 1/9 and there are 3 fractions repeating it, the exponent is [tex]\frac{1}{9} ^3[/tex] or 1/9 to the 3rd power.
Down is a formula I made!
Main number: 1/9
Repeating how many times: 3
Expression: [tex]\frac{1}{9} ^3[/tex]
Therefore, 1/9 to the 3rd power is 1/729.
[tex]\frac{1}{9}^3=\frac{1}{729}[/tex]
Note: The questioner did not ask for the answer. I wanted to add it anyway for future reasons.
What combination of transformations is shown below?
Answer:
Rotated then reflected.
Step-by-step explanation:
Ben purchases 16 tickets at the fair . Each ride requires 2 tickets, and each food item requires 1 ticket. If ben uses 4 tickets for food iteems, what is the mazimum number of rides he can go on if he uses all of his tickets
What is the solution to the system of equations shown on the graph?
(-1,-3)
(-3,-1)
(13,-1)
No Solution
Answer:
(-1, -3)
Step-by-step explanation:
The solution of the graph is the coordinate of the point where the two lines intercept each other on the graph.
Thus, the two lines intercept at when x = -1, y = -3.
The solution to the system of equations represented on the graph would be (-1, -3)
y=-x^2+10x-23 in vortex form
What is the area of the circle above?
Answer:
201.6
i think
Answer: I am pretty sure its A
Step-by-step explanation:
Use trigonometry to solve for x. Round to the nearest tenth.
Answer
12
Step-by-step explanation:
You need to use cosine because the side length needed is adjacent and you have the hypotenuse.Set up a proportion of "cos23 = x/13" and solve by cross multiplying. Then just round.
Round 8 ÷ 6365
(Show your work)
Answer: 8 ÷ 6365
Step-by-step explanation: cant be simplified
Use Pythagorean theorem to solve for x
Answer:
339.7705
Step-by-step explanation:
PLEASE HELP!!!! posted jan 25 2021 9:16 am i need it by 11:50 pm of today!!!
Which of the following can be used to find y, the number of yards in 4 miles?
А
1,760
y =
4
B.
y = 4.1,760
с
y = 4.5.280
D
v=
5.280
4
Answer:
B
Step-by-step explanation:
1760 yards in 1 mile.
4 miles is 1760x4
pita has 12 coins in her bag there are three £1 coins and nine 50p coins she takes 3 coins from the bag at random work out theprobability that she takes exactly £2.50
Answer:
3 x 3/12 x 2/11 x 9/10
Step-by-step explanation:
A student has a container with a volume of 0.5 liter. She estimates the volume to be 0.6 liter. By what
percent is the student's estimate off?
(Round to the nearest percent as needed.)
Answer:
20%
Step-by-step explanation:
Answer:
Step-by-step explanation:
Write the following decimal number in its equivalent fraction form. Show all work
0.8
Answer:
4/5
Step-by-step explanation:
0.8=8/10=4/5
tadaaa
Show work please will do
Brainlest
Answer:
about 7 times
Step-by-step explanation:
First do 80 times 3 and get 240 then do 240 divided by 34 and get 7.058823529 which can be rounded to 7.
The graph of a system of linear equations with the same slope and the same y-intercepts will have no solutions.
Always
Sometimes
Never
Answer:
Never
Step-by-step explanation:
If two equations have the same slopes and the same y-intercepts they are equivalent to each other
Here's why:
The formula for a linear equation is y= mx +b
b= y- intercept
m= slope
m and b are only variable that have to be replaced by a number for the equation to be complete
Therefore, when m and b (or the slope and the y-intercept) of both equations are the same, the two equations are the same
The answer would be allrealnumbers, not nosolutions
Hope this helps!!!
help now plsssss!!!!!!!
Evaluate 6x-4y when x=5and y=2
Answer:
22
Step-by-step explanation:
6×5 and 4×2 then subtract
Answer:
30-8=22
Step-by-step explanation:
6*5-4*2
30-8
22
Caleb invested $390 in an account paying an interest rate of 7% compounded
quarterly. Autumn invested $390 in an account paying an interest rate of 7%
compounded continuously. After 15 years, how much more money would Caleb have
in his account than Autumn, to the nearest dollar?
Answer:
$9
Step-by-step explanation:
DELTAMATH
Cindy plans to join a gym. A gym membership at Fit Factor cost $300 for the year.
Maya's new puppy weighs 4 pounds . He will gain an average of 2 pounds each month until reaches his adult weight Which equation can be used to predict his total weight t after m months?
Answer:
4 + 2t = m
Step-by-step explanation:
Answer:
i think it t=2m
so sorry if im wrong i tried
Step-by-step explanation:
The ratio of girls to boys in the 6th grade is 6 to7. How many girls are there if there are 364 total students?
Answer:
168
Step-by-step explanation:
This is a proportion problem, but with a small trick.
Boys/Girls = 7/6
Here is the trick: add 1 to each side of the equation
(boys/girls) + 1 = (7/6) + 1
(boys + girls)/girls = 13/6
364/girls = 13/6 => 13*(girls) = 6*364 = 2184 => girls = 168
Answer:
[tex]168[/tex] girls
Step-by-step explanation:
Since the ratio of girls to boys is [tex]6:7[/tex], we can let the number of girls be [tex]6x[/tex] and the number of boys be [tex]7x[/tex]. We are given that there are a total of [tex]364[/tex] students, so we can write the following equation to solve for [tex]x[/tex]:
[tex]6x+7x=364[/tex]
Solving for [tex]x[/tex], we get:
[tex]6x+7x=364[/tex]
[tex]13x=364[/tex] (Simplify LHS)
[tex]\frac{13x}{13} =\frac{364}{13}[/tex] (Divide both sides of the equation by [tex]13[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=28[/tex] (Simplify)
Therefore, there are [tex]6x=6*28=168[/tex] girls in the 6th Grade. Hope this helps!
The equation of a line in slope-intercept form through the point (3, -4) and had a slope of 6
Answer:
The equation of a line in slope-intercept form through the point (3, -4) and had a slope of 6 will be:
y = 6x - 22Step-by-step explanation:
Given
The point = (3, -4)Slope = m = 6We know that the slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptsubstituting m = 6 and the point (3, -4) in the slope-intercept form of the line equation to determine the y-intercept b
y = mx+b
-4 = 6(3) + b
-4 = 18 + b
switch sides
b = -4 - 18
b = -22
now substituting m = 6 and the b = -22 in the slope-intercept form of the line equation
y = mx+b
y = 6x + (-22)
y = 6x - 22
Therefore, the equation of a line in slope-intercept form through the point (3, -4) and had a slope of 6 will be:
y = 6x - 22It takes 60 cubic feet of sand to fill a sandbox. The length and
width of the sandbox are 5 feet and 6 feet. What is the height
of the sandbox
Answer: 2 feet tall
Step-by-step explanation: 5*6=30/60=2
A biologist estimated that the current population of ladybugs in the region was 8.3 x 106. He predicts that a swarm of
950,000 ladybugs will be arriving into the region.
According to the biologist's estimates, how many ladybugs will be in the region after the swarm arrives? math
According to the biologist's estimates, there will be 9.25 million ladybugs in the region after the swarm arrives.
How many ladybugs will be in the region after the swarm arrives?To find the total population of ladybugs in the region after the swarm arrives, we need to add the number of ladybugs in the region before the swarm arrives to the number of ladybugs in the swarm:
Total ladybugs = 8.3 x 10⁶ + 950,000
Total ladybugs = 8,300,000 + 950,000
Total ladybugs = 9,250,000
Therefore, according to the biologist's estimates, there will be 9.25 million ladybugs in the region after the swarm arrives.
Learn more about total population here: https://brainly.com/question/13902749
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2a. According to a Pew Research survey, about 25% of American adults are pessimistic about the future of marriage and the family. This is based on a sample, but assume this percentage is correct for all American adults. What is the probability that in a sample of 20 American adults, 23% or fewer of the people in the sample are pessimistic about the future of marriage and family
Answer: 0.4181807
Step-by-step explanation:
Probability that American adults are pessimistic about the future of marriage and the family: p= 0.25
Sample size n= 20
Let [tex]\hat{p}[/tex] be the sample proportion of American adults that are pessimistic about the future of marriage and the family.
[tex]P(\hat{p}\leq0.23)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}<\dfrac{0.23-0.25}{\sqrt{\dfrac{0.25(1-0.25)}{20}}})\\\\= P(Z<-0.20655) \ \ \ \ [Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]\\\\=1-P(Z<0.20655)\\\\= 1- 0.5818193=0.4181807[/tex]
Hence, the required probability = 0.4181807