Answer: 2.5, 5.3
Step-by-step explanation:
\(-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3\)
At the start of the Crayola empire, their pricing for a pack of markers was steep due to high demand. For a basic pack of 8 markers, the cost was $11.50. At this rate, how much would the special pack of 7 markers cost?
SHOW THATMOD -2a a+b c+a =4 [a+b] [b+c] [c+a]
a+b -2b b+c
c+a c+b -2c
MOD(-2a a+b c+a) = 4[a+b][b+c][c+a] is an identity that holds true for all values of a, b, and c.
To show that MOD(-2a a+b c+a) = 4[a+b][b+c][c+a], we will simplify the expression
First, let's expand the expression on the left side of the equation:
MOD(-2a a+b c+a) = MOD(-\(2a^2\) - 2ab + ac + aa + bc + ca)
Now, let's simplify the expression further by grouping the terms:
MOD(-\(2a^2\) - 2ab + ac + aa + bc + ca) = MOD(\(a^2\) + 2ab + ac + bc + ca)
Next, let's factor out the common terms from each group:
MOD(\(a^2\) + 2ab + ac + bc + ca) = MOD(a(a + 2b + c) + c(a + b))
Now, let's expand the expression on the right side of the equation:
4[a+b][b+c][c+a] = 4(a + b)(b + c)(c + a)
Expanding further:
4(a + b)(b + c)(c + a) = 4(ab + ac + \(b^2\) + bc + ac + \(c^2\) + ab + bc + \(a^2\))
Simplifying:
4(ab + ac + \(b^2\) + bc + ac +\(c^2\) + ab + bc + \(a^2\)) = 4(\(a^2\) + 2ab + ac + bc + ca)
We can see that the expanded expression on the right side is equal to the expression we obtained earlier for the left side.
Therefore, MOD(-2a a+b c+a) = 4[a+b][b+c][c+a].
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State if each triangle is acute, obtuse, or right. 50, 48, 14
Answer:
Each triangle are acute.
Step-by-step explanation:
Obtuse-an angle that is bigger than 90 degrees
Acute-an angle that is smaller than 90 degrees
Right triangle-an angle that is 90 degrees
If the matrix of coefficients of a system of n linear equations in n unknowns is singular, then the system has infinitely many solutions. (a) Always true (b) Sometimes true (c) Never true, (d) None of the above
A system of n number of linear equations in n unknowns has an many number of solutions if the coefficients of matrix is unique. The assertion is always accurate. The given statement is always true.
From the question, the given statement is:
A system of n linear equations in n unknowns has an endless number of solutions if the matrix of coefficients is unique. The assertion is always accurate.
The given statement is always true.
Consider the system of equations Ax = b. If A is single, there is no A-inverse. As a result, there is no one approach to solve the system. Then, there are still two options:
There are countless options.No answers.We can't tell which condition is right only examining the matrix [A b]. There exists an endless number of solutions if [A b] is equal to A's rank.
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A local food truck specializes in gourmet grilled cheese sandwiches. Each month, the owners of the truck have a constant total of $7,900 in expenses (salaries, truck loan, etc.) and it costs $1.70 per sandwich to make each sandwich. The food truck sells its sandwiches for $7.75 each.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Fixed costs= $7,900
Unitary cost per sandwich= $1.7
Selling price per unit= $7.75
To calculate the break-even point in units and dollars, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 7,900 / (7.75 - 1.7)
Break-even point in units= 1,306 sandwiches
Break-even point (dollars)= fixed costs/ contribution margin ratio
Break-even point (dollars)= 7,900 / (6.05 / 7.75)
Break-even point (dollars)= $10,120
how can you use the fact that relative frequency table has a total column or has a total row to help interpret the values in the table?
The total column or row in a relative frequency table provides a summary of the data and facilitates interpretation, verification, and identification of patterns or irregularities in the distribution of categories.
The presence of a total column or a total row in a relative frequency table can be helpful in interpreting the values and understanding the data within the table. Here's how it can assist in interpretation:
Proportions: A relative frequency table displays the proportions or percentages of each category relative to the total number of observations. The total column or row provides the sum of these proportions, typically represented as 100% or 1. This allows you to verify that the proportions add up correctly and provides a reference point for comparison.
Data Accuracy: By comparing the total column or row to the known total number of observations, you can assess the accuracy of the data presented in the table. If the totals match, it suggests that the data has been properly recorded and calculated.
Missing Data: If there are any missing values or incomplete rows/columns in the table, the total column or row can help identify them. If the total doesn't match the expected value, it indicates that some data might be missing or erroneously recorded.
Distribution Patterns: Analyzing the relative frequencies across different categories can reveal distribution patterns. The total column or row allows you to compare the relative sizes of various categories and identify trends or significant differences more easily.
Identifying Outliers: If there is a significant outlier in the data, it may be reflected in the total column or row. If one category has an unexpectedly high or low relative frequency compared to others, it may warrant further investigation to understand the underlying cause.
In summary, the total column or row in a relative frequency table provides a summary of the data and facilitates interpretation, verification, and identification of patterns or irregularities in the distribution of categories.
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A bically orginally priced at 225 was marked down 30 % after a week, the bicycle was marked down another 15% off the sale price what are the sale prices of the bike after each discount
Answer:
Kapdweswq DAWFDGEADAEF DAC E FEWAFWED EW DCQFFF
Step-by-step explanation:
Sfweqrwrrf wqwf q fewqfwqefw f wqfqwefqw
Answer:
45% or -45% decrease
Step-by-step explanation:
complete function tables part 2
please help its the last one pleasee
Answer:
e=3 d=2
e=7 d=3
e=11 d=4
e=15 d=5
Step-by-step explanation:
all you have to do is solve for the d by substituting the value of e into the equation.
Yasmin invests money in an account paying a simple interest of 3% per year. If no money will be added or removed from the investment, what should she multiply her current balance by to find her total balance in a year in one step?
hi
so the amount will be increased by 1 + 3/100 = 1.03
so multiply current balance by 1.03 and she will know balance in a year
Indicate below weather the equation in the box is true or false
Answer:
False
Step-by-step explanation:
4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10
Plzz help me plzz no links i really need help. will mark braiiniest
Answer:
B
Step-by-step explanation:
I hope this helps you :)
Answer:
thx for the points
Step-by-step explanation:
4(3m+10)>-3m-51+8m help pls
Answer:
m > -13
Step-by-step explanation:
4 (3m + 10) > -3m - 51 + 8m
12m + 40 > 5m - 51
12m - 5m > -51 - 40
7m > -91
m > -91/7
m > -13
Please mark me the Brainliest!?!
Please help me !! would appreciate
The answers that describe the quadrilateral DEFG area rectangle and parallelogram.
The correct answer choice is option A and B.
What is a quadrilateral?A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.
Quadrilateral DEFG
if line DE || FG,
line EF // GD,
DF = EG and
diagonals DF and EG are perpendicular,
then, the quadrilateral is a parallelogram
Hence, the quadrilateral DEFG is a rectangle and parallelogram.
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A piece of farmland is a watering plot of land in a circular pattern. a sewer line needs to be installed from a new housing project to a processing plant the city does not want the sewer line to cross the farm land. can a direct line be installed? let 1 unit = 100 feet. the entry to the sewer plant is at (2,3) the sewage exit from the housing project is at (12,6) the sprinkler system extends 200 ft and the center of the land is at (8,3) will the sewer line cross the farmland? if so then at what points? if the farmer wants to maximize the farming area and does not want to cross the sewer line, what is the longest sprinkler system that could be installed?
A direct sewer line can be installed without crossing the farmland. The sewer line can be installed along the straight line connecting the entry point at (2,3) and the exit point at (12,6).
To determine if a direct sewer line can be installed without crossing the farmland, we can calculate the equation of the line passing through the entry and exit points. Using the coordinates (2,3) and (12,6), we can find the equation of the line as y = (1/10)x + (1/5).
Next, we need to check if this line intersects or crosses the circular farmland. The center of the farmland is given as (8,3), and the radius is 200 feet. By comparing the distance between the center of the farmland and the line with the radius of the farmland, we can determine if there is an intersection.
Calculating the distance between the line and the center of the farmland gives us d = |(1/10) * 8 - 3 + (1/5)| / √((1/10)^2 + 1^2) ≈ 0.2828.
Since the distance (d) is less than the radius (200 feet), it means that the sewer line does not cross the farmland.
To maximize the farming area without crossing the sewer line, the longest sprinkler system that can be installed is equal to the radius of the farmland, which is 200 feet.
Therefore, a direct sewer line can be installed without crossing the farmland, and the longest sprinkler system that can be installed without crossing the sewer line is 200 feet.
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lena is going to rent a truck for one day. there are two companies she can choose from, and they have the following prices. company a charges and allows unlimited mileage. company b has an initial fee of and charges an additional for every mile driven. for what mileages will company a charge less than company b? use for the number of miles driven, and solve your inequality for .
Therefore, company A will charge less than company B for any mileage greater than 65 miles.
To help you with your question, I need the specific prices for both companies, as well as any additional information you can provide about the charges.
To solve for the mileages at which company A will charge less than company B, we can set up the following inequality:
A < B
where A is the cost of renting from company A and B is the cost of renting from company B. We can plug in the given information to get:
x ≤ A
x > B = y + 40z
where x is the number of miles driven, y is the initial fee for company B, and z is the additional cost per mile for company B.
Now we can substitute the given values to get:
x ≤ A
x > y + 40z
For company A, the cost is a flat rate with unlimited mileage, so A is just the cost listed for one day of rental. Let's say that cost is $100.
For company B, the initial fee is $50 and the additional cost per mile is $0.25. So:
y = 50
z = 0.25
Now we can plug in these values and solve for x:
x ≤ 100
x > 50 + 40(0.25)
x > 65
Therefore, company A will charge less than company B for any mileage greater than 65 miles.
To help you with your question, I need the specific prices for both companies, as well as any additional information you can provide about the charges.
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If you answer this I will give you brainiest!
Find the surface area of each net!
Plz put the answers in the order of how the images are posted, or say which answer goes with each image. (NO links plz!) :D
Answer:
1 54 2 132 3 334.58 4 103.18
Step-by-step explanation:
Answer:
Answer
Step-by- explanation:
https://pinterest.com/pin/create/button/?url=http://hereisyouranswer.com/&media=&description=
True or False: A function must have a different output for each input.
Answer:
True
Step-by-step explanation:
for every X there can be on Y
that doesn't necessarily go the other way around, but that's not what the problem is asking, so whatever.
on a certain standardized test, the mean is 180 and the standard deviation is 35. which of the following is within 2 standard deviations of the mean?
Any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.
Within 2 standard deviations of the mean refers to the range that includes data points within two units of standard deviation from the mean. In this case, the mean is 180 and the standard deviation is 35.
To find the range within 2 standard deviations of the mean, we need to calculate the upper and lower bounds.
The upper bound can be found by adding 2 standard deviations (2 * 35 = 70) to the mean: 180 + 70 = 250.
The lower bound can be found by subtracting 2 standard deviations (2 * 35 = 70) from the mean: 180 - 70 = 110.
Therefore, any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.
It's important to note that this answer is specific to the given mean and standard deviation. If the mean and standard deviation were different, the range within 2 standard deviations would also be different.
Always calculate the upper and lower bounds based on the provided mean and standard deviation to determine the range within 2 standard deviations accurately.
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5) if we randomly select someone who was aboard the titanic, what is the probability that person is a man, given that he died?
If we randomly select someone who was aboard the titanic, what is the probability that person is a man, given that he died is 1360/1517.
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject since it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.
Probability that person is a man, given that he died,
P(x) = Favorable outcome/Total
= 1360/ 1517.
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What is the value of x?
The value of x is .
Answer:
38*
Step-by-step explanation:
verticle angles are always going to be equivilent so the opposite of x is 38 so x also =38
The measure of angle x from the intersecting lines is x = 28°
What are the angles formed by 2 intersecting lines?Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.
Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Given data ,
Let the lines represented by the figure be intersecting lines
And , the missing angle from the first straight line be y
where y = 180° - ( 38° + 90° )
On simplifying , we get
y = 52°
Now , the measure of x is given by
90° + y + x + 10 = 180° ( angles on a straight line )
On simplifying , we get
90 + 52 + 10 + x = 180
Subtracting 152 on both sides , we get
x = 28°
Hence , the measure of angle is x = 28°
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the average of 8 girls is 15 and the average of 6 girls is 13 find the average of the other two girls with equal age
Answer:
21
Step-by-step explanation:
Since the girls have the same age, let their age be x.
Then, their average is
\(\frac{x+x}{2} = \frac{2x}{2} = x\)
Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)
Also, we have,
\(\frac{S_{8}}{8} =15 - eq(2)\)
\(\frac{S_{6}}{6} =13 - eq(3)\)
Then eq(2):
(from eq(1) and eq(3))
\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)
The average of the other two girls with equal age is 21
Pls Pls help asap! no f links pls n will give brainliest n points?
How could you show
By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.
From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Consider ΔKML and ΔRTL, we get
RL/KL =15/(15+9)
= 15/24
= 5/8
TL/ML =12.5/(12.5+7.5)
= 12.5/20
= 5/8
Here, RL/KL=TL/ML
Here, ∠KLM≅∠RLT
By SAS similarity, ΔKML and ΔRTL are similar triangles
So, ∠KMT≅∠RTL
By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.
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Answer:
a
Step-by-step explanation:
got it right in edmentum
Shaylyn measured her house as 5 meters tall.Which of these is an equivalent measurement
A. 0.3 miles
B. 7.3 yards
C. 16.4 feet
D. 27.2 inches
PLEASE HELP ME IM BEING TIMED
The domain of the function is defined as 0 ≤ x ≤ 4.
option A is the correct answer.
What is the domain of a function?A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.
So the domain of a function is the set of x values, while the range of a function is the set of y values.
From the given statement, the range of the function is defined as;
y = vt
where;
v is the speedt is the time of motiony = 60 mph x 4 hr
y = 240 miles
From the given statement, the domain of the function is defined as;
0 ≤ x ≤ 4
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Which equation can be used to prove 1 + tan2(x) = sec2(x)?
StartFraction cosine squared (x) Over secant squared (x) EndFraction + StartFraction sine squared (x) Over secant squared (x) EndFraction = StartFraction 1 Over secant squared (x) EndFraction
StartFraction cosine squared (x) Over sine squared (x) EndFraction + StartFraction sine squared (x) Over sine squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction
StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction
StartFraction cosine squared (x) Over cosine squared (x) EndFraction + StartFraction sine squared (x) Over cosine squared (x) EndFraction = StartFraction 1 Over cosine squared (x) EndFraction
The equation that can be used to prove 1 + tan2(x) = sec2(x) is StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction. the correct option is d.
How to explain the equationIn order to prove this, we can use the following identities:
tan(x) = sin(x) / cos(x)
sec(x) = 1 / cos(x)
tan2(x) = sin2(x) / cos2(x)
sec2(x) = 1 / cos2(x)
Substituting these identities into the given equation, we get:
StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction
Therefore, 1 + tan2(x) = sec2(x).
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• Por 8 días en una granja se reúnen 320 huevos que 40 gallinas proporcionan para utilidad de 5 días. Si se reúnen 1,100 huevos en 15 días para utilidad de 5 días. ¿Cuántas gallinas proporcionan esta cantidad?
To gather 1,100 eggs in 15 days for a utility period of 5 days, approximately 137.5 chickens are needed.
Let's first calculate the rate at which the chickens produce eggs. In the first scenario, 40 chickens produce 320 eggs in 8 days, which means they produce eggs at a rate of 320 eggs / 8 days = 40 eggs per day.
Now, we can use this rate to find out how many chickens are needed to gather 1,100 eggs in 15 days for a utility period of 5 days.
Since the utility period is 5 days, we need to gather 1,100 eggs in 15 - 5 = 10 days.
Using the rate of 40 eggs per day, we can calculate the number of chickens needed:
Chickens = (1,100 eggs) / (10 days) / (40 eggs per day) = 2.75 chickens per day.
Since we cannot have a fraction of a chicken, we can round the result to the nearest whole number. Therefore, approximately 137.5 chickens are needed.
Therefore, approximately 137.5 chickens are needed to gather 1,100 eggs in 15 days for a utility period of 5 days.
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ex 17. Determine whether each of these conditional statements is true or false. a) If1 + 1 = 2, then 2 + 2 = 5. b) If1 +1= 3, then 2 + 2 = 4. c) If 1+1=3, then 2 + 2 = 5. d) If monkeys can fly, then 1 + 1 = 3.
a) False - The consequent (2 + 2 = 5) does not hold true when the condition (1 + 1 = 2) is satisfied.
b) False - Neither the condition (1 + 1 = 3) nor the consequent (2 + 2 = 4) is true.
c) False - The consequent (2 + 2 = 5) does not follow when the condition (1 + 1 = 3) is met.
d) True - Since the condition (monkeys can fly) is false, the statement (1 + 1 = 3) holds true due to the structure of the conditional statement.
In the given conditional statements, we need to determine whether each statement is true or false based on the provided conditions.
a) If 1 + 1 = 2, then 2 + 2 = 5. This statement is false because the initial condition (1 + 1 = 2) is true, but the consequent (2 + 2 = 5) is false. In mathematics, if the condition is true, the consequent should also be true, but in this case, it is not.
b) If 1 + 1 = 3, then 2 + 2 = 4. This statement is false because both the condition (1 + 1 = 3) and the consequent (2 + 2 = 4) are false. The initial condition is not satisfied, so the statement cannot be true.
c) If 1 + 1 = 3, then 2 + 2 = 5. This statement is false for the same reason as statement a) - the initial condition is true, but the consequent is false.
d) If monkeys can fly, then 1 + 1 = 3. This statement is true because it follows the structure of a conditional statement where the condition (monkeys can fly) is false, and therefore the statement is always true.
In summary, statement a), b), and c) are false, while statement d) is true.
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Consider the following function f(x)=x4+3, x>=0.Find an explicit formula for f^-1
The explicit formula for f^-1 is (x-3)^(1/4) and this is obtained by switching the roles of x and y and solving for y in terms of x.
To find the inverse function of f(x)=x^4+3, we need to switch the roles of x and y, and solve for y.
Let y = x^4+3
Subtract 3 from both sides to get:
y - 3 = x^4
Take the fourth root of both sides to isolate x:
(x^4)^(1/4) = (y-3)^(1/4)
Simplify:
x = (y-3)^(1/4)
So the inverse function of f(x) is:
f^-1 (x) = (x-3)^(1/4)
This is the explicit formula for the inverse function of f(x).
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Little help guys? Find the distance from the point (3, 6, 8) to the origin.
Write your answer as a whole number or as a decimal rounded to the nearest hundredth.
========================================================
Work Shown
The two points are \((x_1,y_1,z_1) = (0,0,0)\) and \((x_2,y_2,z_2) = (3,6,8)\)
Use the 3D version of the distance formula to get the following:
\(d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}\\\\d = \sqrt{(0-3)^2+(0-6)^2+(0-8)^2}\\\\d = \sqrt{(-3)^2+(-6)^2+(-8)^2}\\\\d = \sqrt{9+36+64}\\\\d = \sqrt{109}\\\\d \approx 10.4403065\\\\d \approx 10.44\\\\\)
You'll need your calculator for the second to last step.
HALLLLPPP Let g(x) = 2x and h(x) = x^2 + 4. Evaluate each expression: g(-2) - h(4)
Answer:
-24
Step-by-step explanation:
g(-2) = 2(-2)
g(-2) = -4
h(4) = 4² + 4
h(4) = 16 + 4
h(4) = 20
g(-2) - h(4)
-4 - 20
= -24
Answer:
g(-2) - h(4) = - 24Step-by-step explanation:
g(x) = 2x
To find g( -2) substitute - 2 into g(x)
That's
g( -2) = 2(-2) = - 4
h(x) = x² + 4
To find h(4) substitute 4 into h(x)
That's
h(4) = (4)² + 4 = 16 + 4 = 20
So
g(-2) - h(4) is
- 4 - 20
= - 24
Hope this helps you