Answer:
y= 11/13x + 36/13
Step-by-step explanation:
y=mx+b
y2 -y1 -4-7 = -11
x1-x2 -8-5= -13
slope is 11/13
Answer:
y = [tex]\frac{11}{13}[/tex] x + [tex]\frac{36}{13}[/tex]
Step-by-step explanation:
First, find the slope of the line passing through the points
Then find the y-intercept of the line
Then construct the formula
1. find the slope
remember the formula
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] is used to find the slope
now plug in the given points
(5, 7)
(-8, -4)
[tex]x_{1} = 5\\y_{1} = 7\\x_{2} = -8 \\y_{2} = -4[/tex]
[tex]\frac{(-4) - (7)}{(-8) - (5)}[/tex]
simplify and solve
= [tex]\frac{-11}{-13}[/tex]
= [tex]\frac{11}{13}[/tex]
2. find the y-intercept
remember the base formula for a line
y= mx + b
where m is the slope and b is the y-intercept
we know the slope, so now plug in one of the given coordinates for a point on the line and slove to find the y-intercept
y = mx + b
y = [tex]\frac{11}{13}[/tex]x + b
use the first set of given coordinates for a point on this line: (5, 7)
7 = [tex]\frac{11}{13}[/tex] * 5 + b
solve by inverse operations and simplifying
7 = [tex]\frac{55}{13}[/tex] + b
[tex]\frac{36}{13}[/tex] = b
3. construct the formula
now we know the slope and the y-intercept, all we have to do now is substitute it into the base formula for a line:
y = mx + b
where m is the slope and B is the y-intercept
we found that
m = [tex]\frac{11}{13}[/tex]
and
b = [tex]\frac{36}{13}[/tex]
so that means the equation is
y = [tex]\frac{11}{13}[/tex] * x + [tex]\frac{36}{13}[/tex]
The school principal is designing a square outside of the school,seperated into 4 equal spaces.She wants to know the total area of the courtyard. What is the total area if each smaller space is 5 feet on each side
Answer:100ft
Step-by-step explanation:i got it right on I-ready
Find the estimate and actual value of : 72.8 + 12.1
There are (bananas, pears, and peaches in a bag. One eighth of the fruits are pears. One half are bananas. Are there more pears or bananas?
Answer:
The answer would be that there are more bananas than pears
Step-by-step explanation:
Well, if we were to put the fractions into decimal form 1/8 would be .125 and if we put 1/2 into decimal it would be 0.5 or in this case .500
And since .500>.125 that shows that there are more bananas than pears in the bag, and the other 3/8 are peaches.
At a football game, 94% of people attending were supporting the home team, while 6% were supporting the visiting team. If 3290 people attending the game supported the home team, what was the total number of people attending the game?
The total of people at the football game by considering the information provided would be 3500
How to calculate the total of people attending the game?This can be calculated by using the information provided about the number of people that supports the home team, as well as the percentage represented by them. To do this, use the rule of three.
3290 = 94% x = 100%x = 3290 x 100 / 94 = 3500How to test this result?You can test it by finding out the 94% and the 6% of the total number:
94% of 3500 = 32906% of 3500 = 2103290 + 210 = 3500Learn more about percentages in: https://brainly.com/question/8011401
Tammy has a weekly limit of minutes on her cell phone. So far this week, she has used her cell phone for 84 minutes, which
is 50% of her weekly limit. What is her weekly limit in minutes?
Answer:
168 minutes
Step-by-step explanation:
50% is equal to .5 which is half. So if 84 minutes is half her weekly limit then she double that number to find her weekly limit, which is 168 minutes.
A loaf of bread costs Rs.0.79 today. If its price increases by 6% per year, how much will an equivalent loaf cost in 20 years?
Answer:
.79x(.06x20)=.948
round up to .95
Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. The price of the loaf of bread after 20 years will be 2.53.
What is compounding?Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. And this continues for t period of time.
It is given by the formula,
A = P(1+r)ⁿ
where A is the value after n period of time, P is the initial amount, and,
r is the rate of increment or decrement.
Given that a loaf of bread costs Rs.0.79 today, and its price increases by 6% per year. Therefore, the price of bread will increase every year by 6% of the previous year's cost. Thus, it can be concluded that the price increases compounding.
Therefore, the equivalent loaf cost in 20 years will be,
Cost of the loaf after 20 years = 0.79(1+0.06)²⁰
= 0.79(3.2071)
= 2.53
Hence, the price of the loaf of bread after 20 years will be 2.53.
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PLEASE HELP! WILL GIVE BRAINLIEST
Answer:
b
Step-by-step explanation:
brianlesyt
Find the area of a square with side length of 3 inches.
Answer:
A = 9 sq inches
Step-by-step explanation:
Area of a square:
A = l × w OR s^2
A = 3 × 3 = 3^2
A = 9 sq inches
During the health check of a man of two weeks, it was observed that he had fever on 11 days, morning or evening. When he had fever in the evening, he had no fever in the morning. He had fever 9 days in the evening. How many days did he have no fever in the morning?
Step-by-step explanation:
2 weeks = 14 days.
on 11 days of these 14 he had fever.
that means on 14-11 = 3 days he did not have a fever.
on 9 of these 11 fever days he had the fever in the evening.
and we know, when he had fever in the evening, he had no fever in the morning.
so, the number of days without fever in the morning is :
9 + 3 = 12
as he had no fever in the morning when he had a fever in the evening, AND when he did not have any fever at all ...
Cost of a puppy: $349.99
Discount: 23%
What is the new cost?
Answer:
$269.49
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 349.99 × 23/100
Discount = 349.99 x 0.23
You save = $80.50
Final Price = Original Price - Discount
Final Price = 349.99 - 80.4977
Final Price = $269.49
The ratio of weight to mass is constant. Which statement describes the ratio of weight to mass and the value of x in the table
Answer:
I don't know the table but from similar questions like this the answer is probably :
The ratio is 98/10; x = 110
I need an answer ASAP
Answer:
(B) 3
Step-by-step explanation:
Qualitative answer. As x grows larger and larger, the contribute of lower degree terms (and constants) becomes irrelevant, and you rewrite everything picking the highest term for both numerator and denominator
[tex]\lim\limits_{x \to \infty} \frac{\sqrt{9x^4}}{x^2} $\lim\limits_{x \to \infty} \frac{3x^2}{x^2}=3[/tex]
Analitically.
Collect [tex]9x^4[/tex] in the numerator under the square root, [tex]x^2[/tex] in the denominator.
[tex]\lim\limits_{x \to \infty} \frac{\sqrt{9x^4(1+\frac{1}{9x^4})}}{x^2(1-\frac{3}{x}+\frac{5}{x^2})} = \lim\limits_{x \to \infty}\frac{3x^2\sqrt{(1+\frac{1}{9x^4})}}{{x^2(1-\frac{3}{x}+\frac{5}{x^2})}} = 3[/tex]
At this point the way you deal with it is the usual. Anything inside the bracket goes to 0 besides the lead coefficients (1 in both cases) and you're left with 3.
Find the value of /...x, .yy, and .zz in the parallelogram below.
Answer:
Step-by-step explanation:
A baker has a bag with 20 cups of flour. The baker plans to use the flour to make 4 loaves of bread. Each loaf of bread uses cups of flour. How many cups of flour will remain in the bag when the baker is finished?
Following our assumption, the number of cups that will be remained in the bag after the baker is finished is 4 cups.
What are word problems?Word Problems in mathematics are those methods involving the use of algebra, fractions, ratios, and other basic mathematical concepts to solve problems in real-life cases.
From the given information:
A bag of flour = 20 cupsThe baker plans to make = 4 loavesLet's assume that each flour make use of = 4 cupsThen, the number of cups to make 4 loaves of bread is:
= (4 × 4) cups
= 16 cups to make 4 loaves of bread.
The number of cups of flour remaining will be:
= 20 - 16 cups of flour
= 4 cups of flour remaining
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A group of friends wants to go to the amusement park. They have no more than $140 to spend on parking and admission. Parking is $5.75, and tickets cost $39.75 per person, including tax. What is the maximum number of people who can go to the amusement park?
Answer:
3
Step-by-step explanation:
Let the number of people be n.
39.75n + 5.75 ≤ 140
39.75n ≤ 134.25
n ≤ 3.37
The greatest integer less than or equal to 3.37 is 3.
Answer: 3
The maximum number of people who can go to the amusement park will be 3.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that the group has $140 to spend on parking and admission. Parking is $5.75, and tickets cost $39.75 per person, including tax.
For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.
Suppose the number of people will be n.
39.75n + 5.75 ≤ 140
39.75n ≤ 134.25
n ≤ 3.37
The greatest integer value should be less than or equal to 3.37 is 3.
Thus, the maximum number of people who can go to the amusement park will be 3.
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Mario has a fair coin. He conducts an experiment to determine how many times the coin lands on heads or tails. The results are shown in the table below.
Using Mario's experiment, what is the difference between the experimental and the theoretical probability that the fair coin lands on heads?
20%20 percent
30%30 percent
50%50 percent
70%
The difference that exist between the experimental and theoretical probability that the fair coin will lands on heads is A. 20%.
How to calculate probability?Your information is incomplete as the table isn't given. Therefore, an overview will be given.
It should be noted that theoretical probability describes how likely an event will occur. In this case, the probability of getting a head is 50%.Now, let's assume that the experimental probability that given is 70%.
In they case, the difference between the experimental and the theoretical probability that the fair coin lands on heads will be:
= 70% - 50%
= 20%
In conclusion, the correct option is 20%.
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Answer:
Step-by-step explanation:
it’s 20% because yo have to add the device
PLEASE HELP ASAP!!!
Match the graph with the correct equation.
A. y+1= -1/4 (x+5)
B. y-1= -4 (x+5)
C. y-1= -1/4 (x+5
D.y-1= -1/4 (x-5)
Answer:
Step-by-step explanation:
The surface area of a rectangular prism is 174 square inches. The rectangular base has one side length 3 times the other. The height of the prism is 5 inches. What are the maximum lengths of the sides of the base?
The maximum lengths of the sides of the rectangular base are approximately 7.616 inches and 22.847 inches.
How to find the maximum lengths of the sides of the baseThe surface area of the rectangular prism ([tex]A_{s}[/tex]) is equal to the product of two lengths of triangle. The area formula for the base is:
[tex]A = x\cdot (3\cdot x)[/tex]
[tex]A = 3\cdot x^{2}[/tex]
If we know that [tex]A = 174[/tex], then the least length of the base of the rectangle is:
[tex]x = \sqrt{\frac{A}{3} }[/tex]
[tex]x \approx 7.616\,in[/tex]
The maximum lengths of the sides of the rectangular base are approximately 7.616 inches and 22.847 inches. [tex]\blacksquare[/tex]
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Answer:
3 inches and 9 inches
Step-by-step explanation:
See pic :)
q(a+1) - 2q(a) if q(x) = x²+3x+4
[tex]q(x) = {x}^{2} + 3x + 4 [/tex]
_________________________________
Step(1)
To find q(a) we just need to put a instead of x in q(x) function.
Let's do it...
[tex]q(a) = {a}^{2} + 3a + 4 [/tex]
Multiply sides by -2 :
[tex] - 2q(a) = - 2( {a}^{2} + 3a + 4) [/tex]
[tex] - 2q(a) = - 2 {a}^{2} - 6a - 8 [/tex]
_________________________________
Step (2)
To find q(a+1) we just need to put a+1 instead of x in q(x) function.
Let's do it...
[tex]q(a + 1) = ({a + 1})^{2} + 3(a + 1) + 4 \\ [/tex]
[tex]q(a + 1) = {a}^{2} + 2a + 1 + 3a + 3 + 4 \\ [/tex]
[tex]q(a + 1) = {a}^{2} + 5a + 8 [/tex]
_________________________________
Step (3)
[tex]q(a + 1) - 2q(a) = [/tex]
[tex] {a}^{2} + 5a + 8 - 2 {a}^{2} - 6a - 8 = \\ [/tex]
[tex] - {a}^{2} - a = - a(a + 1)[/tex]
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
The expression for q(a+1) - 2q(a) is -a² - a
Given the expression q(x) = x²+3x+4
First, we need to get the function q(a+1)
q(a+1) = (a+1)²+3(a+1)+4
Expand
q(a+1) = a² + 2a + 1 + 3a + 3 + 4
q(a+1) = a² + 5a + 8
For the function q(a)
q(a) = a²+3a+4
2q(a) = 2(a²+3a+4)
2q(a)= 2a² + 6a + 8
Taking the difference:
q(a+1) - 2q(a) = a² + 5a + 8 - ( 2a² + 6a + 8)
q(a+1) - 2q(a) = a² + 5a + 8 - 2a² - 6a - 8
q(a+1) - 2q(a) = -a² - a
Hence the expression for q(a+1) - 2q(a) is -a² - a
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If x< 0 and y<0 where is the point (x,y) located
Answer: 0
Step-by-step explanation:
50 points find x
Please help
Answer:
x = 17
Step-by-step explanation:
The dash on each side means that all side lengths are equal in length.
Therefore, the shape shown is a regular polygon (hexagon).
Exterior angle of a regular polygon = 360 ÷ number of sides
⇒ Exterior angle of a regular hexagon = 360 ÷ 60 = 60°
Therefore,
4x - 8 = 60
Add 8 to both sides:
⇒ 4x = 68
Divide both sides by 4:
⇒ x = 17
The locations of a fishing boat, buoy, and kayak are represented by the points (0,0), (16,12), and (10,-5). Each unit represents 1 nautical mile.
The boat travels at 8 nautical miles per hour. How long does the boat take to reach the buoy if the boat travels directly toward it?
Someone please help me out, explanation also.
Answer:
2hrs 30 mins
Step-by-step explanation:
if the buoy Is 12 up and 16 right than you can use Pythagorean theorem
a²+b²=c²
144+256=c²
400=c²
√400=√c²
20=c
20/8=2.5
2 hrs 30 mins
What are the 3 positive integers that there sum is equal to their product...... Plz dont answer if you dont know... I mean for points cause i am in a n exam answer fasssstttt plz
Answer:
The 3 positive integers of which the sum is equal to their product are, 1 , 2 and 3
1 + 2 + 3 = 6
So, when we add 1, 2 , and 3, we get six, now let's see on multiplying them,
1 * 2 * 3 = 6
Hence, the positive integers that have the same sum as their product are,
1 , 2 , and 3
Thanks!!
- Find distance around three-fourths of a circle with radius of 6 feet.
Step-By-Step Explanation:
1st Step : First lets take 6 times the circumference (Pi)
6 * 3.14 = 18.84
2nd Step : Next, Divide 18.84 by 4
18.84 /4 = 4.71
3rd Step : And lastly, Take 4.71 times 3.
3 * 4.71 = 14.13
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I WILL GIVE BRAINLIEST PLEASE HELP
This scatter plot shows hot drink sales and outside temperature above 0 °F. The equation represents the linear model for this data.
y=−12x+50
According to the model, how many hot drinks are sold when the temperature is 0 °F?
Answer:
50
Step-by-step explanation:
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Answer:
4 yd
Step-by-step explanation:
The missing length is the question mark on the top side.
Look at the bottom side. Its length is 10 yd.
Now look at the next horizontal side up from the bottom. Its length is 6 yd.
The missing length is the difference between 10 yd and 6 yd.
10 yd - 6 yd = 4 yd
please I need help .
9514 1404 393
Answer:
2 autos per hour
f(h) = 2h
Step-by-step explanation:
The graph in the interval 0 ≤ h ≤ 4 is a straight line through the origin, so represents a proportion. The constant of proportionality is the slope of the line, which is the ratio of vertical change to horizontal change.
On the interval [0, 4], we see that 8 automobiles are completed in 4 hours, so the slope is ...
(8 autos)/(4 hours) = 2 autos/hour
Then the completion rate function in that interval is ...
f(h) = 2h
Help pleaseeeee.....!!!!!!!
Answer:
30-60-90shortest leg is always x ; longest leg is always x√3 ; hypotenuse is always 2xhypotenuse = 28 inches = 2x = 2(14)shortest leg = x = 14longest leg = x√3 = 14√3The exact length and width of the tv would be 14 inches and 14√3 inches.
Step-by-step explanation:
mark me brainliest!!
Answer: A
Step-by-step explanation:
Let the length side of the TV = a
The width of the TV = b
The diagonal of a TV = c
In a 30-60-90 right triangle,
We have cos(30°) = [tex]\frac{\sqrt{3}}{2}[/tex] and sin(30°) = [tex]\frac{1}{2}[/tex]
Given that c = 28 inches:
sin(30°) = [tex]\frac{b}{c}[/tex]
[tex]\frac{1}{2} = \frac{b}{c}[/tex]
[tex]b = \frac{1}{2} \times 28 = 14[/tex]
That is, the width of the TV = 14 inches
cos(30°) = [tex]\frac{a}{c}[/tex]
[tex]\frac{\sqrt{3}}{2} = \frac{a}{c}[/tex]
[tex]a = \frac{\sqrt{3}}{2} \times 28 = 14\sqrt{3}[/tex]
That is, the length of the TV = 14√3 inches
So the exact width and length of the TV are 14 inches and 14√3 inches.
Therefore, option A is the correct answer
A cruise ship travels 20 miles in 50 minutes. How far does the ship travel per minute?
Use this formula: Speed = Distance/Time
Given in the question:
Distance - 20 miles
Time - 50 minutes
Calculations
Speed = Distance/Time
Speed = 20/50
Speed = 0.4 miles/min
Therefore, the ship travels 0.4 miles per minute.
Marla started her school work at 8:48am. If she has to do 4 hours of school, what time will she be off?
Bonus question: Marla's brother, jack started his school at 8:56am having to do 4 hours. What time will he be off?
Caculate the time Marla and Jack will be off.
THANKSSSSSSSSSSSSSSSSS
Answer : Marla Will Be Done School At 12:48 Pm.
Explanation : 8:48 Am. + 4 Hours = 12:48 Pm.