18. Construction workers will test to see if two walls meet at a right angle by using a 3-4-5
Pythagorean triple or a multiple of this triple. Two walls meet as shown below and a worker
marks a point on each wall with an %.
(a) If these walls met at a right angle, how much
distance should be between the two marked
points?
12 ft
19.5 ft
16 ft
c) (f + a)(ƒ +9) (f - 4) = f³ +7f²-26f - 72
Without fully expanding the brackets. Find a
Answer:
a = 2
Step-by-step explanation:
the constant terms inside the factors will multiply to give the constant term of the expansion, that is
a × 9 × - 4 = - 72
- 36a = - 72 ( divide both sides by - 36 )
a = 2
PLEASE HELP!!
Ian buys a two-gallon bottle of juice for $28.16. What is the unit rate of the cost of the juice per fluid ounce?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces
Before you try that problem, answer the question below.
How many fluid ounces of juice did Ian buy?
Answer: 11 Cents per ounce of Juice
Step-by-step explanation:
The first step here is going to be to find how many ounces are in a gallon. This can be determined as shown using the given information you stated above:
1 gallon * 4 quarts * 2 pints * 2 cups * 8 ounces = 128 ounces in 1 gallon
Step 2 is multiplying 128 ounces by 2 because we have two gallons of juice in the bottle:
128 ounces per gallon* 2 gallons = 256 ounces
Step 3 is dividing the total cost of the juice, which is $28.16, by the number of total number ounces (256)
$28.16 / 256 ounces = .11 dollars per ounce (aka 11 cents per ounce)
(x-24)
296
29°
Show work
Answer:
x=59
Step-by-step explanation:
this is a full circle which is 360 degrees
We subtract 296 from 360 first
360-296=64
Then subtract 29 from 64
64-29=35
now we can set x-24 equal to 35
X-24=35
+24 +24
x=59
Hopes this helps please mark brainliest
3. Alex rode his bike at a constant speed. He rode 1 mile in 6 minutes. Write two equations to model this situation using t as time in minutes, and d as distance in miles. T=D=
will give brainliest
Answer: t = 5d t = 1/5d
Step-by-step explanation:
19. Factor to find the zeros: f(x) = x² + 6x.
(-6,0)
no solution
(0,0) and (-6,0)
(6,0)
Zeros of f(x) = [tex]x^{2} +6x[/tex] is (0,0) and (-6,0).
Given, f(x) = [tex]x^{2} +6x[/tex]
= x(x+6)
For zeros, function f(x) = 0
x(x+6) = 0
x = 0 x+6 = 0
x = -6
Putting values of x in equation,
For x = 0
f(x) = [tex]0^{2}+6(0)[/tex]
= 0
Therefore, (0,0)
For x = -6
f(x) = [tex](-6)^{2}+6(-6)[/tex]
= 36 - 36
= 0
Therefore, (-6,0)
Hence, zeroes for f(x) is (0,0) and (-6,0).
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Please help!!!
How many complex roots does the equation 0= 3x^5-x^4-5x^2 +1 have?
The polynomial equation 0 = 3x⁵ − x⁴ − 5x² + 1 contains 2 complex roots as a result.
Describe a polynomial.
A mathematical expression that contains at least two terms with variables or integers is referred to as a polynomial. A polynomial may include several terms.
Below is a polynomial equation that is given:
0 = 3x⁵ − x⁴ − 5x² + 1
Which can also be written as
3x⁵ − x⁴ − 5x² + 1 = 0
A polynomial of degree 5 is used in the accompanying polynomial equation.
Using a graphing application to solve it graphically is the simplest approach.
The polynomial equation obviously has a maximum of 5 roots because it is an equation of degree 5.
Now that we have the graph, we can use it to find the equation's roots.
There are 2 complex roots because there are only 3 real roots and 2 remaining are complex roots.
The polynomial equation 0 = 3x⁵ − x⁴ − 5x² + 1 contains 2 complex roots as a result.
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Please write a linear equation that passes through (5,2) and (6,4)!
[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{5}}} \implies \cfrac{ 2 }{ 1 } \implies 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}{ 2}(x-\stackrel{x_1}{5}) \\\\\\ y-2=2x-10\implies {\Large \begin{array}{llll} y=2x-8 \end{array}}[/tex]
what is 7 times [(7+7)divided by 7
Answer: 14
Step-by-step explanation: do the parentheses first, 7+7 is 14, multiply by 7 to get 98 divide by 7 to get 14
Answer:
14
Step-by-step explanation:
bc 7x7 us 49 and u divided by 7 your answers is going to be 14
Babe Ruth, professionl bseball player known for hitting home runs, had a batting average of 0.342. Hank Aaron, another record home urn hitter, had a batting average of 0.305 . How much greater was Babe Ruth's batting avarage that Hank Aaron's ?
Babe Ruth's batting average is 0.037 more than that of Hank Aaron's
From the question, we have
difference = 0.342-0.305
=0.037
Babe Ruth's batting average is 0.037 more than that of Hank Aaron's
Subtraction:
Subtraction serves as a representation for the act of removing items from a collection. The negative symbol stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above illustration) are then transported to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, which equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.
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suppose 1,872 of 2,600 registered voters sampled said they planned to vote for the republican candidate for president. using the 0.95 degree of confidence, what is the interval estimate for the population proportion (to the nearest 10th of a percent)?
BRAINLIEST FOR THE BEST ANSWER!
Question:
WRITING-Your friend is having trouble understanding the Midpoint Formula.
a. Explain how to find the midpoint when given the two endpoints in your own words.
b. Explain how to find the other endpoint when given one endpoint and the midpoint in your own words.
PLEASE DO NOTE THAT THIS IS WRITING NOT OPTIONS. Thank you in advance! :)
The formula that is used to calculate the midpoint for the given two point is written as ( (x₁ + x₂)/2 , (y₁ + y₂)/2).
Mid point:
Midpoint refers the point on a line that is at an equal distance from either end.
Given,
Here we have to explain the concept of midpoint in a simple manner.
According to the definition, midpoint refers the central point between the two points.
So, in a simple manner we have said that the mid point is calculated by finding the average of the two given point.
For example, (x₁, y₁) and (x₂, y₂) are the points, then the midpoint (xₙ, yₙ) is calculated by using the formula,
(xₙ, yₙ) = ( (x₁ + x₂)/2 , (y₁ + y₂)/2)
Similarly, if one point and the midpoint is given, then the another point is calculated by apply the remaining point as (x, y) and solve it accordingly, then we can get the value of it.
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A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122. 5 grams per apple. Calculate and interpret a 95% confidence interval for the mean weight per apple.
The apple mean weight's 95% confidence interval is;
CI = (119.14, 125.86) (119.14, 125.86)
The confidence interval above should be understood as;
We have a 95% confidence that each apple's average weight, across all of the apples they send, falls between 119.14 and 125.86 grams.
Ours is given;
12 for the standard deviation.
Sample size: 49; n
x = 122.5 is the indicated mean weight.
The current confidence interval formula is;
CI = x⁻ ± z(σ/√n)
Tables indicate that z = 1.96 at a 95% confidence level.
Thus;
CI = 122.5 ± 1.96(12/√49)
CI = 122.5 ± 3.36
CI = (122.5 - 3.36), (122.5 + 3.36)
CI = (119.14, 125.86)
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!*EMERGENCY, WILL GIVE BRAINLIEST QUICK*!
This table represents the cups of coffee, c, a coffee shop has left after being open for h hours. When graphed, all of the points in the table lie on the same line. What is the slope and y-intercept of the line? Drag and drop the slope and y-intercept into the corresponding boxes.
Slope -48, 9 ,48 ?
y-intercept 432, C, 6, 9?
(LEFT SIDE IS HOURS, RIGHT SIDE CUPS)
TABLE-------
HOURS, H / CUPS, C
0 / 432
3 / 288
6 / 144
9 / 0
Answer:
Slope is -48, y-intercept is 432
[tex]y = - 48x + 432[/tex]
Step-by-step explanation:
[tex]m = \frac{432 - 288}{0 - 3} = \frac{144}{ - 3} = - 48[/tex]
[tex]432 = - 48(0) + b[/tex]
[tex]432 = 0 + b[/tex]
[tex]b = 432[/tex]
[tex]y = - 48x + 432[/tex]
pls help
In a set of eight consecutive integers, the smallest integer is more than $\frac35$ of the largest integer. What is the smallest possible value of the sum of the eight integers?
The smallest possible value of the sum of the eight integers is given by:
116.
What are the integers?The eight integers in the problem are given as follows:
n, ..., n + 7.
Hence:
The smallest integer is of n.The largest integer is of n + 7.The smallest integer is more than 3/5 of the largest integer, hence the following inequality is built to relate them:
n > 3/5(n + 7)
Applying the distributive property on the right side, we have that:
n > 0.6n + 4.2.
0.4n > 4.2
n > 4.2/0.4
n > 10.5.
Hence the integers are:
11, 12, 13, 14, 15, 16, 17, 18.
(as 11 is the smallest integer possible).
Then the value of the sum is obtained as follows:
11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 = 116.
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Write a number with one decimal place, that is bigger than 6 wholes and 4 fifths but smaller than 7
8. Aleks is writing a report about recycling in the local town. In 2021: There were 2341 people living in the town Each person in the town recycled an average of 264.6kg of waste. Aleks knows that 1tonne = 1000kg. How many tonnes of waste were recycled in town in total in 2022?
The tons of waste recycled in 2021 was 619.4286 tons.
According to the question,
We have the following information:
In 2021: There were 2341 people living in the town. Each person in the town recycled an average of 264.6kg of waste. Aleks knows that 1 ton = 1000kg.
Now, the total waste recycled in 2021 can be found using multiplication:
Number of people*waste recycled by each person
2341*264.6
619428.6 kg
Now, we will convert this from kilogram to tons.
1 ton = 1000 kg
1 kg = 1/1000 ton
So, we will divide the waste in kilogram by 1000:
Total waste recycled = 619428.6/1000
Total waste recycled = 619.4286 tons
Hence, the tons of waste recycled in 2021 was 619.4286 tons.
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What is the slope-intercept equation of the line that includes (0, 12) and (4, 36)? A. y = –12x + 6 B. y = 6x + 12 C. y = 6x – 12 D. y = 12x – 6
Answer:
B. [tex]y=6x+12[/tex]
Step-by-step explanation:
The slope of the line is [tex]\frac{36-12}{4-0}=6[/tex].
The [tex]y[/tex] intercept is 12, so the equation is [tex]y=6x+12[/tex].
8 < x (7 − x)
Please help, no one has answered this question
I Think thatthe answer is 2
A cup of coffee is poured at 190° Fahrenheit, and is allowed to cool in a 70° room. If the temperature of
the coffee is 170° after half an hour,
a. What will the temperature be after 70 minutes?
b. How long will it take the coffee to cool to 120°2
Answer:
a) 190 - 70(2/3) = 430/3 = 143 1/3 degrees
b) 190 - (2/3)x = 120
70 = 2x/3
210 = 2x
Step-by-step explanation:
x = 105 minutes
use the communitive property to simplify the expression. 1/3 + 3/5 + 2/3
The simplified expression using the commutative property is in the first option : 1/3 + 2/3 + 3/5 = 1 + 3/5 = 1 3/5 .
now the given expression is 1/3 + 2/3 + 3/5 .
Therefore this expression can be simplified using the commutative property where we put the like terms together.
1/3 + 3/5 + 2/3
= 1/3 + 2/3 + 3/5 (here we use commutative property on the second and third terms of the expression)
= 1 + 3/5 (we know that 1/3 +2/3 = 1)
=1 3/5
Hence by using the commutative property we calculate the sum easily.
The commutative property applies to the arithmetic operations of addition and multiplication. This suggests that no matter how the numbers are arranged or placed, the result of adding or multiplying them remains the same.
As an illustration, 1 + 5 = 6 and 5 + 1 = 6. No matter how two numbers are added, the sum is unaffected. Multiplication uses the same principle. The commutative property does not hold for division and subtraction because the results are completely different when the numbers are rearranged.
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7j+5−8k when j = 0.5 and k = 0.25
Answer:6.5
Step-by-step explanation:
Here j = 0.5 and k = 0.25
7j+5-8k
= 7(0.5)+5-8(0.25)
= 3.5+5-2
= 6.5
Select the correct answer.
What is the domain of y= cos (x)
a.2pie
b. [-1,1]
c. (-infinity, infinity)
d. [0,infinity)
The answer should be C.
The range of definition of the cosine function is all real numbers. [tex]R[/tex]
It is also periodic in [tex]2\pi[/tex].
It is an even function. [tex]f(x)=f(-x)[/tex]
It can also be written in this form.
[tex]cos(x)=\frac{e^{-ix}+e^{ix}}{2}[/tex]The slope of the line below is -1/7. write a point slope equation of the line using the coordinates of the labeled point.
The equation of a straight line can be written if its slope and any one point lying on it is given. The equation of the line for given slope and point is (y - 3) = -1 / 7 × (x - 3). The correct answer is option B.
What is the equation for a straight line?A straight line can be written in the form of equation as, y = mx + c.
Two straight lines intersect each other only at one point.
When two straight lines are parallel to each other the angle between them is zero.
Given that,
The slope of the line = -1 / 7
The coordinate of the point on the line = (3,3)
The equation of a line having slope m and passing through a point (x₁, y₁) is given as,
(y - y₁) / (x - x₁) = m
Thus, the equation of the line for given slope and point is given as,
(y - 3) / (x - 3) = -1 / 7
=> (y - 3) = -1 / 7 × (x - 3)
Hence, the equation of the line for given slope and point is (y - 3) = -1 / 7 × (x - 3).
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Malik took a survey to find out how many students in his school have a pet. There are 628 students in the school. 50% of them have a pet. How many students in Malik's school have a pet?
Step-by-step explanation:
628x50/100 = 314
Answer: 314 students have a pet
Step-by-step explanation: 628 divided by 2 = 314
Tickets to a basketball game can be ordered online for a set price per ticket plus a $5. 50 service fee. The total cost in dollars for ordering 5 tickets is $108. 0. Which linear function represents c, the total cost, when x tickets are ordered? c(x) = 5. 50 + 20. 50x c(x) = 5. 50x + 20. 50 c(x) = 5. 50 + 21. 60x c(x) = 5. 50x + 21. 60.
The Linear function representing the total cost , where x is the number of tickets is c(x) = 5. 50 + 20. 50x , the correct option is (a) .
In the question ,
it is given that ,
the total cost for 5 tickets = $108
the service fees for the tickets to a basketball game = $5.50
we need to find the cost function for 5 tickets .
we substitute , the value of x = 5 in each option and check which option gives the cost as $108 .
Option (a)
c(x) = 5.50 + 20.50x
= 5.50 + 20.50(5)
= 108
Option(b)
c(x) = 5. 50x + 20. 50
= 5.50(5) + 20.50
= 48
Option(c)
c(x) = 5. 50 + 21. 60x
= 5.50 + 21.60(5)
= 113.5
Option(d)
c(x) = 5. 50x + 21. 60
= 5.50(5) + 21.60
= 49.1
So, from the answers above we can conclude that the cost function representing the cost for 5 tickets is c(x) = 5. 50 + 20. 50x .
Therefore , The Linear function representing the total cost , where x is the number of tickets is c(x) = 5.50 + 20.50x .
The given question is incomplete , the complete question is
Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108 . Which linear function represents c, the total cost, when x tickets are ordered ?
(a) c(x) = 5.50 + 20.50x
(b) c(x) = 5.50x + 20.50
(c) c(x) = 5.50 + 21.60x
(d) c(x) = 5.50x + 21.60.
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Jason is training to run in a marathon. His goal for this week is to run a minimum of 35 miles. So far this week, he has already run 15 miles. Which inequality could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal?.
As per the concept of inequality, the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal is 15 + 4m ≥ 35
Inequality
Inequality shows a non equal relationship between two numbers or two expressions.
Given,
Jason is training to run in a marathon. His goal for this week is to run a minimum of 35 miles. So far this week, he has already run 15 miles.
Here we need to determine the inequality could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal.
Here we know that, his goal for this week is to run a minimum of 35 miles.
For this week, he has already run 15 miles.
In the given inequality that could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal.
=> 15 + 4m ≥ 35
Here we know that, 4m = number of m miles run in 4 days.
Therefore, inequality that could be used to determine the mean number of miles, m, he would need to run each day for 4 more days to achieve his goal is written as,
=> 15 + 4m ≥ 35
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PLEASE HELP
thank you !!
Answer:
34562
Step-by-step explanation:
you add them together
BRAINLIST! Please answer!!Parallelogram Properties
1. In Parallelogram JKLM if m
Answer:
60
Step-by-step explanation:
I believe two angles should add up to 180 in a parallelogram
how do i do these?
i'm having trouble figuring out which is x and which is y.
Answer:
X is horizontal axis, Y is vertical axis
Step-by-step explanation:
(x,y) in the notation