Answer:
y=116⋅x2−1
Step-by-step explanation:
find an equation of the line through the given points. give the final answer in slope-intercept form (-2,2) (4,-1)
to get the equation of any straight line, we simply need two points off of it, let's use the points in the picture below.
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-2)}}}\implies \cfrac{-3}{4+2}\implies \cfrac{-3}{6}\implies -\cfrac{1}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{(-2)}) \\\\\\ y-2 = -\cfrac{1}{2}(x+2)\implies y-2=-\cfrac{1}{2}x-1\implies y=-\cfrac{1}{2}x+1[/tex]
4 ft 8 ft 4 ft 10 ft
Explain to a friend how to find the perimeter of the figure shown.
Answer:
Take the measurement of every side and add them together. This will give you the total perimeter. For example, if you have a rectangle with the measurements 4 ft on the 2 short sides and 8 ft on the two long sides, you add together 4 + 4 + 8 + 8 which equals 24.
Hope I was able to help :)
World War II began in the year 1939.
Let x represent any year. Write an inequality in terms
of x and 1939 that is true only for values of x that
represent years before the start of World War II. PLS ANSWER ILL GIVE U 5 STARS
Answer:
x < 1939
Step-by-step explanation:
If we want years before 1939, then x must be less than 1939. From this we can make the inequality: x < 1939. It shows that x must be anything less than 1939.
what is the perimeter of the trapezoid? please help asap!!
Answer:
42
Step-by-step explanation:
add base 1, 2, 3 & 4 so 9 + 9 + 15 + 9 = 42
13-18 Express the quantity as a single logarithm.
15. [tex]\ln 10+2 \ln 5[/tex]
i need help asap please
Answer:
x = 52 due to vertical angle theorem
Step-by-step explanation:
Vertical angles mean that the angles are congruent.
If we know that one angle is 52 the other one shall be 52 as well because vertical angles state that ones that are directly across are congruent known as equal.
What is an expression for the area of the figure? Write your answer as a polynomial in standard form.
Answer:
[tex]A=4x^{2} +x[/tex]
Step-by-step explanation:
[tex]A = (3x)(2x+1) -2x(x+1)[/tex]
[tex]=6x^{2} +3x-2x^{2} -2x[/tex]
[tex]=4x^{2} +x[/tex]
Hope this helps
A tumbler contains 2 litres and 250 millilitrer of orange juice . How many glasses can be filled with 15 ml of this juice in each
2 litres and 250 millilitres of orange juice.
to find:how many glasses can be filled with 15 ml of this juice in each.
solution:[tex]2 \: litre = 2000 \: millilitre[/tex]
[tex]2000 + 250[/tex]
[tex] = 2250[/tex]
[tex] \frac{2250}{15} [/tex]
[tex] = 150[/tex]
therefore, 150 glasses can be filled with 15 millilitres of orange juice.
jack picks 60 apples from an apple tree .He uses 12 of them to make applesauce .He places the remaining apples equally into 6 gift baskets. Wich equation can be used to determin the number of apples,a, Jack places into each gift baskets.
Answer:
42 apples
Step-by-step explanation:
42 apples cuz how much Jack used
Mila and Ben use red and orange beads to make bracelets with 60 beads each.
Mila uses 2 red beads for every 3 orange beads. Ben uses 5 red beads for
7 orange beads. Who uses more orange beads?
every
Mila
Ben
Red Orange
Total
Red Orange
Total
2
3
5
7
60
60
Answer:
Mila
Step-by-step explanation:
3+2=5
60/5=12
12*3=36
Mila uses 36 orange beads
7+5=12
60/12=5
7*5=35
Ben uses 35 orange beads
Mila uses more beads
hope this helps you on your homework :D
Answer:
From the results we can see that Mila would be using 15 orange beads.
Step-by-step explanation:
Step 1: Determine a common denominator
We need to figure out a ratio between the two people in a way so we can compare the amount of orange beads that are being used. We know that Mila uses 2 red beads while ben uses 5 red beads which means that we can use a ratio of 10.
(2 red beads * 5) : (3 orange beads * 5)
(10 red beads) : (15 orange beads)
(5 red beads * 2) : (7 orange beads * 2)
(10 red beads) : (14 orange beads)
Answer: From the results we can see that Mila would be using 15 orange beads.
can someone help me with this? please
Answer:
14.4 feet
Step-by-step explanation:
Simplify by combining like terms:
-2x + 3 - 8y + 12 + 6x - 7y
Answer: 4x-15y+15
Step-by-step explanation:
Just combine then simplify.
PLEASE MARK ME THE BRAINLIEST!!!
Answer:
4x - 15y + 15
Step-by-step explanation:
You can only combine terms that have the same variable. For example, a number with the "x" variable can only be added to/subtracted by other numbers with the "x" variable. To make the simplifying easier, I would start by putting these terms next to each other. Remember that the negative values must stay with the value they are next to (i.e., the (-) in front of the (7y) must stay with it).
Starting: -2x + 3 - 8y + 12 + 6x - 7y
Rearranged: -2x + 6x - 8y - 7y + 3 + 12
Then, combine the values by adding them. Remember, adding a negative value means you end up subtracting it.
(-2x) and (6x) combine to form (4x)
(-8y) and (-7y) combine to form (-15y)
(3) and (12) combine to form (15)
This leaves you with: 4x - 15y + 15
Answer asap and only if yk 100% its correct
Answer:
24
Step-by-step explanation:
If one of the side is 6 in and the shape is a square. All the sides most be 6 aswell. so it's 6x4
ABC = 90, ACB = 45° and AC = 2√6. a) Find the measure of the angle CAB.
At Hamilton's Hamburger Hangout, 50% of the tables are occupied by customers. There
are 20 tables occupied by customers.
Shade the grid to show the percent of tables that are occupied.
How many total tables are there? You can use your model to help.
tables
I don’t get the answer what is it can anyone help?
Answer:
40 tables total
Step-by-step explanation:
Several ways to figure it out, but hopefully one of these is better for you to understand..
20 is half of 40 or 50% 50% in decimal form is .5 or .50 (either way works)
40 x .5 = 20 or you could say
1/2 of 40 is 20
So you would want to shade 20 tables, and the other 20 would be unshaded.
A Ferris wheel contains 16 cars evenly spaced on a circle with a radius of 20 feet. What is the distance between any two cars on the Ferris wheel?
Answer:
230.4
feet
Explanation:
arc length
=
circumference
×
fraction of circle
×
×
×
×
=
2
π
r
×
165
360
×
×
×
×
=
2
×
π
×
80
×
165
360
×
×
×
×
=
230.4
feet to nearest tenth
Answer:
23
Step-by-step explanation:
the answer is 22.5 but rounded to the nearest whole which is 23
round 10}982 to the neraste hundred
The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
75
1
80
5
85
7
90
3
95
1
100
6
Answer:
its has to be 45.6 becuase when you calculate you get 45.66666667 so its either that or 46
Step-by-step explanation:
add 75+1+80+5+85+7+90+3+95+1+100+6=548
then you divide by the amount of numbers there are which is twelve so
548 divided by 12 is 45
Select the correct answer.
Which of these is a non-real complex number?
Answer:
C
Step-by-step explanation:
[tex]\dfrac 83 +\sqrt{-\dfrac 73}\\\\=\dfrac 83 + \sqrt{-1} \sqrt{\dfrac 73}\\\\=\dfrac 83 +i\sqrt{\dfrac 73}~~~~~~;\left[i =\sqrt{-1}\right]\\\\\text{It is now in the standard form of complex number (a+bi).}[/tex]
If X=2y+6 find the value of x³-8y³-36xy-216.
Answer:
Please check out the attachment.
btw sorry for the handwriting
Step-by-step explanation:
Stay safe, stay healthy and blessed.
Have a blessed day !
Thank you
Geoff is training for a charity bike ride. he takes a ride on 49-Mile Scenic Drive in San Francisco. The table shows his time at the beginning and end of the ride. What is Geoff's average speed for the ride?
Answer:
here
distance=49miles
time=3.5
Step-by-step explanation:
Now,
we know that,
V=Distance÷time
=49÷3.5
=14
so that,
Avg.Speed=Velocity÷time
=14÷3.5
=4 ans
A line slope has a slope -5 and passes through the point (2,2)..An equation for this line is
Answer:
y = -5x + 12
Step-by-step explanation:
First remember the equation y = mx + b
We have values for x, y, and m so all we need to do is solve for b.
2 = -5 (2) + b
2 = -10 + b
12 = b
Then plug that value back in and keep the variables for x and y
y = -5x + 12
Joe collected 94 stamps altogether. He collected 27 in April and 34 in May. How many did he collect in June?
Answer:
33
Step-by-step explanation:
From what we know in April and May combined Joe has collected 61 stamps (27+34=61). To then work out how many Joe collected in June you would take the 61 we know he has already got away from the grand total of 94 (94-61=33) this means in June he collects 33 stamps. Hope this helps :)
which product is less than 111
31/55x111
31/31x111
55/55x111
55/31x111
Answer:
31/55 * 111
Step-by-step explanation:
For all the other products, the number before the slash is greater than, or equal to the number after the slash. This means that the fraction is greater than or equal to 1 and thus a bigger product. For 31/55 however, the value is less than 1 (0.56) and thus, the actual product will be less than 111.
Convert 21 inches to feet using dimensional analysis round to 2 decimal places necessary
1 foot = 12 inches = 1/12
21/1 x 1/12 = 21/12 = 1.75 feet
Answer: 1.75 feet
15 dollars a hour spends 25 dollars a day. Write an expresstion of his earnings in a day?
Answer:
E = 15x - 25
Step-by-step explanation:
He makes 15 dollars an hour for x amount of hours and then subtract 25 dollars
what two expressions plus 3x-4 add up to 9x+6
Answer:
6x-10
Step-by-step explanation:
Because if you take 9x+6 minus 3x-4 you get 6x-10 because when you subtract a negetive you add them. :) Hope this helps.
Nadia wants to estimate the mean driving range for her company's new electric vehicle. She'll sample vehicles and measure each of their driving ranges to construct a confidence interval for the mean driving range. She wants the margin of error to be no more than 10 kilometers at a 90% level of confidence. A pilot study suggests
that the driving ranges for this type of vehicle have a standard deviation of 15 kilometers.
Which of these is the smallest approximate sample size required to obtain the desired margin of error?
A) 5 vehicles
B) 7 vehicles
C) 10 vehicles
D) 15 vehicles
E) 30 vehicles
Using the z-distribution, it is found that the smallest sample size required is given by:
B) 7 vehicles.
What is the margin of error for a z-distribution confidence interval?It is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value.[tex]\sigma[/tex] is the population standard deviation.n is the sample size.In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
The margin of error and the population standard deviation are given by, respectively:
[tex]M = 10, \sigma = 15[/tex].
Then, we solve for n to find the needed sample size.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]10 = 1.645\frac{15}{\sqrt{n}}[/tex]
[tex]10\sqrt{n} = 1.645 \times 15[/tex]
[tex]\sqrt{n} = 1.645 \times 1.5[/tex]
[tex](\sqrt{n})^2 = (1.645 \times 1.5)^2[/tex]
[tex]n = 6.1[/tex]
Rounding up, 7 vehicles have to be sampled, hence option B is correct.
More can be learned about the z-distribution at https://brainly.com/question/25890103
What is the perimeter, in square units, of a rectangle XWYZ, with vertices X(0,0) W(0,7) Y(3,7) Z(3,0)?
Answer:
20
Step-by-step explanation:
P=2(l+w)=2·(7+3)=20 The length was 7 and the width was 3.
2. Billie purchased a Jeep for $12,480. Her down payment was $3,600. If she paid the remainder in 48 monthly payments (excluding interest), what would be her monthly payment? (1) $165 (2) $175 (3) $185 (4) $195 (5) $205
Answer:
(3) $185
Step-by-step explanation:
12,480 - 3,600 = 8,880
8,880 / 48 = 185