Answer:
A)
y=1/3x +2
Step-by-step explanation:
equation of line is y=mx+c
so here the points are (0,2) and the gradient,m is 1/3
the y-intercept, c is 2
as when substituting the result is 2 for the y-intercept
substituting:y=mx+c (0,2)
2=1/3 (0) +c
c= 2
The equation of the line is y=1/3x +2 if a line passes through (0, 2) and has a slope of 1/3 option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope-intercept form of the line is:
y=mx+c
The points are (0,2) and the gradient,m is 1/3
c= 2
y = x/2 + 2
Thus, the equation of the line is y=1/3x +2 if a line passes through (0, 2) and has a slope of 1/3 option (A) is correct.
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ2
Need help with this ASAP I’ll mark brainliest
Question 6 of 10
Which choice is equivalent to the product below?
Write your answer as a decimal. If the decimal has more than 2 decimal places, round to 2 decimal places.
The perimeter of a scalene triangle is 14. 5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6. 2 cm? A scalene triangle where all sides are of different lengths. The base of the triangle is labeled 2a, is twice that of the shortest side labeled a. The other side is labeled b. Choose the correct answer.
I know u felt offend and I love you so much so much love and hope that not everyone else is going to accept that as a result I am now in a person
Answer:
9.3+ b= 14.5
Step-by-step explanation:
Determine the value of x in the diagram.
Answer:
x=48 because 180-156=24. 108+24=132 180-132=48
please I need immediate help
Answer:
sorry what? the photo is not clear
Step-by-step explanation:
dude the photo
plz brainliest
why does math included things we will never use
Answer:
To make students question their existence
Step-by-step explanation:
please help i really need it.
change the subject of the formula to x
x/6 − 5 = w
Step-by-step explanation:
x/6=w+5
x=6(w+5)
x=6w+30.
hope this helps you.
The value of x is x = 6w + 30
Data;
[tex]\frac{x}{6} - 5 = w[/tex]Subject of FormulaThis is a mathematical terms used to represent a value from an entire equation.
In the given equation, we are given a value required to make x the subject of formula
Step 1
Add 5 to both sides of the equation
[tex]\frac{x}{6}-5 + 5 = w + 5\\\\\frac{x}{6} = w + 5[/tex]
Step 2
Cross multiply both sides
[tex]\frac{x}{6} = w + 5\\\frac{x}{6} = \frac{w+5}{1} \\x(1) = 6(w+5)\\x = 6(w+5)\\x = 6w + 30[/tex]
From the calculations above, the value of x is x = 6w + 30
Learn more on subject of formula here;
https://brainly.com/question/790938
Please help! I will give points <3
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{b - 6a}\\\large\textsf{= \boxed{\textsf{44}} - 6\boxed{\textsf{(3)}}}\\\large\textsf{= 44 - 18}\\\large\textsf{= 26}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\textsf{26}}}}\huge\checkmark\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]
Which of the numbers below is greater than 0.75? Select all that apply. A) 32 B) −0.5 C) 1.2 D) −14 E) −2.4
Answer:
A and B
Step-by-step explanation:
becuz
what is the value of a rectangular prism with a length of 2x, a width of x-2, and a height of x+2?
Answer:
what do you mean by x?
Step-by-step explanation:
what is the slope of the equation above?
The gov't of SVG has $1000,000 to share amongst (Health, Tourism, Edu) in the ratio 3.5.2 respectivity. How does each sector gets ? much honey 3 X
Answer:
The operational guide of the Saint Vincent and the Grenadines Bureau of Standards (SVGBS) is envisaged in its mission and vision statements.
Step-by-step explanation:
what is the equation of the line that passes through the point (4, 8) and has a slope of 0?
Answer:
y=8.
Step-by-step explanation:
1) if according to the condition slope=0, then the slope-interception form of the required equation is: y=i, where i - interception;
2) if according to the condition the point (4;8) belongs to the required equation, then the required equation is: y=8
need help asap please
I think it might be (B) 7
there is a triangle angle 1 is 9x - 8, angle to x + 10, and angle 3x + 2
Answer:
See answer below
Step-by-step explanation:
Finding the measure of each angle.
The sum of the angles in a triangle = 180°
(9x - 8) + (x + 10) + (3x + 2) = 180°
13x + 4 = 180
13x = 180 - 4
13x = 176
x = 176/13
Angle 1 = 9x - 8 Angle 2 = x + 10 Angle 3 = 3x +2
= 9(176/13) - 8 = 176/13 + 10 = 3(176/13) + 2
≈ 113.8° ≈ 23.5° ≈ 42.6°
Find the surface area of each prism
Answer:
3. SA = 876 [tex]in^{2}[/tex]
4. SA = 161 [tex]ft^{2}[/tex]
Step-by-step explanation:
Number 3.
To find the total Surface Area, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.
To find side lengths:
Assuming the back triangle (24, 10 in) is congruent to the front triangle (26in.): First, Knowing the Pythagorean triples or the Pythagorean theorem, we can conclude that the short bottom leg in the triangle on the right (6, 10, x in) is 8 in. Secondly, to find the leg of the triangle with a hypotenuse of 24 inches, we subtract: 26 - 8 = 18 in.
Now we know all the (needed) side lengths.
To find the Surface Area:
Total SA = (12 x 26) + (12 x 24) + (12 x 10) + 2 x ((6 x 18 x 0.5) + (6 x 8 x 0.5))
= 312 + 288 + 120 + 2 x (54 + 24) = 720 + (2 x 78)
= 876 [tex]in^{2}[/tex]
Number 4.
Same Idea: To find the Total SA, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.
Assuming the back triangle (7ft) is congruent to the front triangle (5x5 ft), then in this case, we already know all the needed side lengths.
To find the Surface Area:
Total SA = 2 x (8 x 5) + 2 x (5 x 5 x 0.5) + (7 x 8)
= 80 + 25 + 56
= 161 [tex]ft^{2}[/tex]
I need help. I'm suppose to find the angle of "o"
Parallel lines m and n are cut by the transversal line t prove <1 and <4 are supplementary move options to the boxes to complete the proof
At Fenway park, they can sell 5000 hot dogs at $4 per dog. They also know that for each quarter (25 cents) they raise the price, they will sell 200 less hot dogs. How many hot dogs should they sell to make profit? Please I need this question by 11:30 pm I’ve been looking everywhere but can’t find answers.
2500 hot dogs must be sold to make a profit
If they can sell 5000 hot dogs at $4 per dog, the selling price for the 5000dogs will be expressed as:
SP= 4 * 5000
SP = 4 + 0.25x
Total number hot dog sold = 5000 - 200x
Revenue = Sales price*Total number hot dog sold
When the price is increased by $0.25 then the revenue will be expressed as [tex]g(x) = (4+0.25x) (5000 - 200x)[/tex]
Taking the product, the resulting function will be;
[tex]g(x) = -50x^2 + 1250x + 20000[/tex]
To get the maximum profit, we need to maximize the revenue by differentiating the function and equating it to zero to have:
[tex]g'(x) = -100x + 450\\0=-100x + 1250\\100x = 1250\\x = 12.5[/tex]
Substittute x = 12.5 into the total number hot dog sold function
Recall that n = 5000 - 200x
n = 5000 - 200(12.5)
n = 5000 - 2500
n = 2500
Hence 2500 hot dogs must be sold to make a profit
Learn more here: https://brainly.com/question/19594550
Figure ABCD is a trapezoid.
Find the value of x.
В,
2x + 1
17
X
3x + 8
A
D
X
= [?]
(BC + AD) / 2 = 17
(2x + 1 + 3x + 8) / 2 = 17
5x + 9 = 34
5x = 25
x = 5
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than −1.66.
Using the normal distribution, there is a 0.9515 = 95.15% probability of a bone density test score greater than −1.66.
The graph is given by option B.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure X is above(in case the score is positive) or below(in case the score is negative) the mean of the distribution. From the z-score table, the p-value associated with the z-score is found, representing the percentile of the measure X.In the context of this problem, the mean and the standard deviation of the scores are given as follows:
[tex]\mu = 0, \sigma = 1[/tex]
The probability of a bone density test score greater than −1.66 is one subtracted by the p-value of Z when X = -1.66, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (-1.66 - 0)/1
Z = -1.66
Z = -1.66 has a p-value of 0.0485.
1 - 0.0485 = 0.9515, which is the probability.
The graph of the probability is given at the end of the answer, and in the context of this problem, is given by option B.
More can be learned about the normal distribution at https://brainly.com/question/4079902
#SPJ1
Four times a number, increased by 10, is -2
what is the number?
Answer:
-3
Step-by-step explanation:
-3 × 4 = -12
-12 + 10 = -2
The time, t, it takes a runner to cover a specified distance is inversely proportional to the runner's speed. If Jann Avery runs at an average of 6 miles per hour, she
will finish a race in 2. 1 hours. How long will it take Jackie Donofrio, who runs at 4 miles per hour to finish the same race?
To solve this problem you will need this tool, it is the formula of speed :
speed = distance/time
(I suggest you to remember this one for life, it is a really useful one)
Let's check how long that Jackie nice dude will take to finish the race...
Jann avery runs at an average of 6 mph (miles per hour), so we already got the speed for our formula. And she will finish the race in 2.1 hours so we got the time. What do we miss ? The distance.
Let's write what we already know to solve this puzzle :
6 = d / 2.1
Where d is that unknown distance.. So we are in front of an equation here let's solve it :
d / 2.1 = 6
d = 6 * 2.1
d = 12.6 miles
Now that we know that distance, for the race, we can see if that poor Jackie Donofrio has all his chances to catch Jann Avery...
We already know his speed... and since we have the distance, we write :
4 = 12.6 / t
Where t is the unknown time, for Jackie, to finish the same race. Let's solve the equation :
4t = 12.6 (we multiplied t on each side of the equation)
t = 12.6 / 4
t = 3.15
Jackie Donofrio, who runs at 4 miles per hour, will finish the race in 3.15 hours
Good Luck
To make five dinners 1/3 cup of flour is used how many cups of flour are needed to make 3 dozen dinner rolls
Answer:
2.4 cups of flour or 2 2/5 cups of flour
Step-by-step explanation:
(1/3) divided by 5 = 0.06666666666
3 dozen = 36
0.06666666666 x 36 = 2.4
also, did you mean to make 5 dinner rolls?
Which quadrilateral has the highest order of rotational symmetry?
Answer:
it should be C
Step-by-step explanation:
hope this is helpful
HELPPP!!!!!!!ASAP!!!!!
What is the equation in slope-intercept form of the line that passes through the point (5, 0) and is parallel to the line represented by =2.2+1.2
y
=
2.2
x
+
1.2
.
Answer:
y = 2.2x - 11
Step-by-step explanation:
Slope: 2.2
y-intercept: 0 - (2.2)(5) = - 11
What is the slope I need the answer fast
gradient=∆ in y values /∆ in x values
Step-by-step explanation:
pick any two points through which the line is passing through then label the values (any) x¹ and y¹ then x² and y². then subtract y²-y¹/x²-x¹
Solve for h.
h - 6 =
=
7
Answer:
h = 13Step-by-step explanation:
Solve for h.
h - 6 = 7
h = 7 + 6
h = 13
------------------
check
13 - 6 = 7
7 = 7
the answer is good
So, this one is pretty easy. Since h-6=7, you just add 6 and 7 and subtract 6 to find the answer, like this.
6+7=13
13-6=7
and h=13
Easy, huh?
A triangle has angles with the following measures: (x2 + 34)°, (6x + 4)°, and (10x + 10)°. Solve for x. show all work please
Answer:
[tex]x = \frac{-8 +\sqrt{190} }{2}[/tex] or x = 5.7840
Step-by-step explanation:
All the angles of a triangle add up to 180°, so we can solve this using the following equation:
180 = (x^2 + 34) + (6x + 4) + (10x + 10)
180 = x^2 + 34 + 6x + 4 + 10x + 10
Now, let's combine like terms:
180 = x^2 + (6x + 10x) + (34 + 4 + 10)
180 = x^2 + 16x + 54
Subtract 180 from both sides:
0 = x^2 + 16x - 126
And solve using the quadratic formula:
[tex]x = \frac{-b +\sqrt{b^{2}-4ac } }{2a}\\x = \frac{-16 +\sqrt{16^{2}-4(1)(-126) } }{2(1)}\\x = \frac{-16 +\sqrt{256+504 } }{2}\\x = \frac{-16 +\sqrt{760} }{2}\\x = \frac{-16 +2\sqrt{190} }{2}\\\\x = \frac{-8 +\sqrt{190} }{2}\\[/tex]
And we can approximate this as a decimal, if needed:
x = 5.7840