Answer:
2x - y = 8
Step-by-step explanation:
Hey,
To create this equation in standard form, you first have to form it in slope-intercept form.
Slope-intercept Form= y = mx + b, where m is the slope, and b is the y-intercept.
y = 2x + b
To Find B, we will substitute the ordered pair (8,8) as x and y.
8= 2(8) + b
8 = 16 + b
Subtract 16 from both sides.
8-16 = 8 +16 -16 +b
Simplify.
-8 = b
Substitute in the equation
y = 2x -8
Convert to Standard Form.
Subtract 2x on bot sides.
y - 2x = 2x - 2x - 8
y - 2x = -8
Multiply Entire equation by -1.
-1(y - 2x = -8)
2x - y = 8
Hope I helped, Have a nice day!
-Aadi x
When driving in England, Brian drove through several speed cameras. On one drive, Brian left his hotel and after 7 minutes he was 2.5 km away and at that moment was measured going 0.5 kpm (kilometers per minute). Later, 18 minutes after he started driving, he was 14.8 km from the hotel and at that moment was measured going 0.8 kpm.
A. Find the linearization at 7 minutes.
B. Find the linearization at 18 minutes.
C. Compute two approximations for Brian's distance from his hotel at 14 minutes, using the linearizations from parts a and b.
D. Which approximation do you think is better? Why?
Solution :
The formula for the linearization of a function [tex]$f(x)$[/tex] at a point [tex]$x$[/tex] = a is given as
[tex]$L(x)=f(a)+(x-a)f'(a)$[/tex]
Assuming the time is t and the distance travelled is [tex]$f(t)$[/tex], that makes the speed as [tex]$f'(t)$[/tex].
So substituting them in the linearization formula,
A. At t = 7 minutes
f(7) = 2.5 km
f'(7) = 0.5 kpm
∴ [tex]$L_7(t)=f(7)+(t-7)f'(7)$[/tex]
[tex]$=2.5+(t-7)0.5$[/tex]
[tex]$=2.5+0.5t-3.5$[/tex]
[tex]$=0.5t-1$[/tex]
B. At t = 18 minutes
f(18) = 14.8 km
f'(18) = 0.8 kpm
∴ [tex]$L_{18}(t)=f(18)+(t-18)f'(18)$[/tex]
[tex]$=14.8+(t-18)0.8$[/tex]
[tex]$=14.8+0.8t-14.4$[/tex]
[tex]$=0.8t-0.4$[/tex]
C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get
[tex]$L_7(14)=0.5(14)-1.0$[/tex]
= 7 - 1
= 6 km
[tex]$L_{18}(14)=0.8(14)+0.4$[/tex]
= 11.2 + 0.4
= 11.6 km
D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km
= 3.5 km
And between the 14 minutes and 18 minutes is = 14.8 km - 6 km
= 8.8 km
This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.
Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km
= 9.1 km
And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km
= 3.2 km
This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.
Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.
How much is 24% of 78,000
Answer: 18,720
Step-by-step explanation:
Let's take this equation
78,000(n)
n will equal 0.24, since we are trying to find 24% of 78,000
78,000(0.24)
18,720
Answer:
18720
Step-by-step explanation:
24/100 × 78,000
=18720
A child weighing 59 lb has a bad infection and is to be given Cefaclor.
The dosage is 15 mg per kg.
The drug will be delivered in an oral suspension with concentration 250 mg/5 mL.
How many mL will she receive?
Round to the nearest whole number.
You will need to convert her weight to kg, using 1 kg = 2.2 lb.
Answer:
Step-by-step explanation:
59:2,2=26,81
15*26,81:250=1,6086
Any time you see an number without an exponent, the number'sexponent is _____?
A . 0
B. 1
which of the following equations fits the data shown in the table?
Answer:
y=2x+3 C
Step-by-step explanation:
The first point (0,3) tells us the y intercept of 3 and we can use the slope formula to figure out that the slope is 2.
Find the missing side. Round to the nearest tenth when necessary.
Answer:
x=15.2
Step-by-step explanation:
x²+27²=31²
x²+729=961
x²=961-729
x²=232
x=√232
x=15.23
Which is the correct vertical cross section through the vertex of the figure?
[SOLVED]
Lin took 75 boxes of carrots and 80 boxes of potatoes to the market. She sold 68 boxes of carrots and 71 boxes of potatoes. How many boxes of vegetables did she take home?
How many boxes of carrots are left?
7
How many boxes of potatoes are left?
9
How many boxes altogehter are left?
16
Answer: 16 vegetables
Step-by-step explanation:
Answer:
7 carrots 9 potatoes and 16 all together
Step-by-step explanation:
Find the length of side a in the right triangle below.
17
a
15
The length of the side, a, is approximately
Answer:
I'm assuming that a is the hypotenuse (Longest side)
Step-by-step explanation:
22.67 is the answer
If a isn't the hypotenuse (Longest side) then let me know in the comments then I will comment the right answer for you <3
geometry/ trigonometry. please help!!!!
Answer:
Sin A= 5/13, Cos A= 12/13, Tan A= 5/12
Step-by-step explanation:
Answer and Step-by-step explanation:
Trig functions:
sin(Angle) = [tex]\frac{Opposite.side}{Hypotenuse}[/tex]
cos(Angle) = [tex]\frac{Adjacent.side}{Hypotenuse}[/tex]
tan(Angle) = [tex]\frac{Opposite.side}{Adjacent.side}[/tex]
C = 26 because of Pythagorean theorem
sin(A) = [tex]\frac{10}{26} = \frac{5}{13}[/tex]
cos(A) = [tex]\frac{24}{26} = \frac{12}{13}[/tex]
tan(A) = [tex]\frac{10}{24} = \frac{5}{12}[/tex]
#teamtrees #PAW (Plant And Water)
What is the solution to this equation?
325 + 12 = 39
Answer:
there is no solution to it as the equation isn't true (It doesn't make sense)
Step-by-step explanation:
Step-by-step explanation:
325 + 12 =
325 + 12 = 337
Answer: 337
So this means it isn´t 39
A play has two different male roles, two different female roles and two different roles that can be either gender. Only a man can be assigned to a male role, and only a woman can be assigned to a female role. If five men and six women audition, in how many ways can the six roles be assigned?
There are total 66,000 ways the six roles can be assigned.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Since only a man can play a male role,
We have 5 options for the first male role and 4 options for the second male position (because a guy cannot play both roles).
So there are 5x4 = 20 options for male roles.
Next, consider how many different ways the female positions can be filled. Because only a woman can play a female role,
We have six options for the first female role and five options for the second female position (because a woman cannot play both roles).
So there are 6x5 = 30 possibilities for female roles.
Finally, consider how many different ways the gender-neutral roles can be filled. Because any of the 11 actors can play these parts,
We have 11 options for the first gender-neutral role and 10 options for the second (because one actor cannot play both roles).
So there are 11x10 = 110 possibilities for gender-neutral jobs.
To find the total number of ways the six roles can be assigned,
we multiply the number of ways to fill each set of roles,
Hence,
20 x 30 x 110 = 66,000.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ2
After a snowball fight, Ethan wanted to warm up with a cup of hot chocolate. He decided to make enough to share with his friends. First, he heated 6 cups of milk and 1 pint of cream in a large pot. Then, he stirred in 4 cups of melted chocolate. How many cups of hot chocolate did Ethan make?
Answer:
12 cups
Step-by-step explanation:
1 pint is 2 cups
Answer:
Step-by-step explanation:
Classify the following triangle, Check all that apply A Equilateral B, Acute C. Scalene D. Obtuse E. Isosceles. F.Right
Answer:
D) obtuse
Step-by-step explanation:
Answer:
the answer is D. Obtues
The area of the figure below is ___ft2. Round to the nearest hundredth where necessary. Please help ! Will mark brainlist!
Answer:
A=467.61 ft^2
Step-by-step explanation:
This is a trapezoid. The area of this trapezoid is [tex]A=\frac{1}{2}(25+33)h[/tex] . 33-25 is 8, so that is the base of the little traingle if we break up the slanted end into a triangle. Now we can use the pythagoreum theorem to find out that the height is 16.125 .
Now the Area equation is [tex]A=\frac{1}{2}(25+33)16.125[/tex]
That gives us our final answer of 467.61 ft^2
If the area of a triangle is 150 square cm, and the height is 10, what is the length of the base?
Answer:
cf cvgbhv
Step-by-step explanation:
xcvbn
Answer:
Step-by-step explanation:
150=10*Base*1/2
15=Base*1/2
Base=30cm
What is the area of the square? A square with the left side labeled 4 units.
Answer:
Area = 16 units
Step-by-step explanation:
Area = length * width Length = x Width = w
A = (x) (w)
Because the shape is a square we know all 4 sides are equal, the lenth and width are the same sizes.
x = 4 units
w = 4 units
A = 4*4
A= 16 units
There are 4 triangles and 16 squares.what is the simplest ratio of triangles to square
order the numbers 0.3, 2/5, -0.85, 0.09, 3/4, 3/20 least to greatest
Answer:
-0.85, 0.09, 3/20, 0.3, 2/5, 3/4
Step-by-step explanation:
Turn all the fractions into decimals
2/5 -> .4
3/4 -> .75
3/20 -> .15
Then order them
-.85, 0.09, 0.15, 0.3, 0.4, 0.75
help me please :(*****
Answer:
54
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Answer:
Step-by-step explanation:
Tricia looked at a map of an amusement park that used the scale 1 inch = 1 meter. On the map the roller coaster was 5 inches from the ice cream stand. When Tricia gets off the roller coaster, how far will she have to walk to get to the ice cream stand?
A. 3 inches
B. 6 inches
C. 4 meters
D. 5 meters
Answer:
D = 5 meters
Step-by-step explanation:
1 inch = 1 meter
5 inch = 5 meter
Whatever you do to one side you do the same to the other.
Divide the rational expressions
(X/x+1)(2/x)
( 1 + 1 )( 2/x )
(2)(2/x)
4/x
that's basically it
Find an equation for the line below?
Please help I’m not very good with figuring out graphing
Answer:
y = 1/3x + 8/3
Step-by-step explanation:
To find an equation use two points to gather the slope and y-intercept.
(1, 3) (-5, 1)
Slope:
y2 - y1 / x2 - x1
1 - 3 / -5 - 1 = -2 / -6
-2 / -6 = 1 /3
y = 1/3x
y intercept is 8/3
Equation: y = 1/3x + 8/3
hope this helps and is right. p.s. i really need brainliest :)
Answer:
y=1/3x+8/3
Step-by-step explanation:
A rectangle has an area of 63 square inches. The width of the rectangle is 6 inches. What is the rectangle’s length, in inches?
When you know the area and one side of a rectangle, divide the area by the known side to find the length of the other side.
Length = 63/6
Length = 10.5 inches
PLEAASEE HELP ITS ALREASY LATE AND I DK WHAT TO DO
Answer:
A
Step-by-step explanation:
we can find out by writing its equation;
9-(-3) / (14-4) = 12 / 10 = 6 / 5
so its equation gonna be y = 6/5x - 7.8
.
now we can grid in the answer choices:
-9 = -6/5 -7.8 so (-1 , -9) is the correct answer
.
find the length of the unknown side
Answer:
20
Step-by-step explanation:
15^2 + b^2 = 25^2
Tim says 1/8 of this model is shaded. Lucy says 8/8 of this model is shaded.
Answer:
Step-by-step explanation: Lucy is correct because all of the squares are filled, and therefore instead of 1 square filled, 8 are, this is why lucy is correct :)
Answer:
Lucy is correct.
Step-by-step explanation:
We can see that the ENTIRE model is shaded ( all eight squares).
So Lucy is correct since she stated that 8 out of 8 (8/8) squares are shaded.
8/8 = 1, so whole.
1/8 would mean that only one out of eight squares is shaded, so Tim is NOT coorrect.
Pls help me with this
Which equation demonstrates the multiplicative identity property?
(-3+5i)+0=-3+5i
(-3+5i)(1)=-3+5i
(-3+5i)(-3+5i)=-16-30i
(-3+5i)(3-5i)= 16+30i
Answer:
(-3+5i)(1)=-3+5i
Step-by-step explanation:
The multiplicative identity is given by :
[tex]a\times 1=a[/tex]
Where
a can be any number
Out of 4 options, in option (2), (-3+5i) is multiplied by 1 and after multiplying we get (-3+5i).
Hence, the correct option is (b).
Two college instructors are interested in whether or not there is any variation in the way they grade math exams. They each grade the same set of 10 exams. The first instructor's grades have a variance of 58.9. The second instructor's grades have a variance of 84.8. Test the claim that the first instructor's variance is smaller. (In most colleges, it is desirable for the variances of exam grades to be nearly the same among instructors.) The level of significance is 10%. (Recall: that the larger of the 2 variances needs to be in the numerator as the test is 1-tailed to the right)
Answer:
Since the calculated value of F = 1.4397 is less than the critical value of
F (9,9)= 2.4403 we conclude that the first instructor's variance is smaller and reject H0.
Step-by-step explanation:
1)Formulate the hypothesis that first variance is equal or greater than the second variance
H0: σ₁²≥σ₂² against the claim that the first instructor's variance is smaller
Ha: σ₁²< σ₂²
2) Test Statistic F= s₂²/s₁²
F= 84.8/ 58.9= 1.4397
3)Degrees of Freedom = n1-1= 10-1= 9 and n2 = 10-1= 9
4)Critical value at 10 % significance level= F(9,9)= 2.4403
5)Since the calculated value of F = 1.4397 is less than the critical value of
F (9,9)= 2.4403 we conclude that the first instructor's variance is smaller and reject H0.