Midsegments are lines that conect the midpoints of two sides of a triangle. This means that it divides both sides in two equal segments, for this diagram:
From this we can determine that segments AD and DB are equal.
So segment DB = 10
To calculate segment DF you have to apply the midsegment theorem that states that each midsegment is parallel to the third line (i.e. the side they dont intersect)
For this diagram: DE || AC and DF || BC
Next propperty you have to remember is that each midsegment is a halve of the third side, so for segment DF:
\(\begin{gathered} DF=\frac{1}{2}BC \\ DF=\frac{1}{2}26 \\ DF=13 \end{gathered}\)Segment DF=13
use the properties of operations to multiply (-2.7x + 4) (-0.2x)
Answer:
0.54x² - 0.8x
Step-by-step explanation:
(-2.7x + 4) (-0.2x)
we open the brackets by multiplication of the terms
0.54x² - 0.8x
suppose a survey of 979 business owners found that more than % bought . which part of the survey represents the descriptive branch of statistics? make an inference based on the results of the survey.
In this problem, descriptive statistics is used because the survey percentage is used to make inference for all business owners.
What is descriptive statistics?
Descriptive statistics is used when data from a sample, which is a sub-set of a population, is used to make inferences about the entire population.
In this problem, the data 979 business owners sampled is used to make inference about the population, which is composed by all business owners, hence descriptive statistics is used.
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The perimeter of a square field is 64 m. If the field is surrounded by a running path of width 3.5 m, find the area of the path. How to solve
Answer: 465m squared
(But I think I did this wrong)
Step-by-step explanation:
First, find the area of the whole thing
So 23 x 23 = 529
Now the field: 16 x 16 = 64
Then, subtract both of the areas to find the area of the path:
529 - 64 = 465
a circle has a radius of . a sector of the circle has a central angle of radians. find the area of the sector.
The formula Area of sector =(θ/2) × r2 is used to calculate the area of a sector with a central angle expressed in radians, where r is the radius of the circle and is the angle subtended at the center expressed in radians.
The quantity of space included within the sector's perimeter is referred to as the sector's area in a circle. A sector always starts at the circle's center. The area of a circle encompassed between its two radii and the arc next to them is known as the sector of a circle.
A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends.
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(co 4) in a sample of 15 small candles, the weight is found to be 3.72 ounces with a standard deviation of 0.963 ounces. what would be the 87% confidence interval for the size of the candles?
The 87% confidence interval for the size of the candles is (3.503 ounces, 3.937 ounces).
To calculate the 87% confidence interval, follow these steps:
1. Identify the sample size (n=15), sample mean (3.72 ounces), and standard deviation (0.963 ounces).
2. Determine the critical value (z) for an 87% confidence interval using a standard normal distribution table or calculator. For an 87% CI, the critical value is approximately 1.534.
3. Calculate the standard error (SE) using the formula SE = standard deviation / sqrt(n). In this case, SE = 0.963 / sqrt(15) ≈ 0.248.
4. Multiply the critical value (z) by the standard error (SE) to find the margin of error (MOE): MOE = 1.534 * 0.248 ≈ 0.380.
5. Find the lower limit of the confidence interval by subtracting the MOE from the sample mean: 3.72 - 0.380 = 3.503 ounces.
6. Find the upper limit of the confidence interval by adding the MOE to the sample mean: 3.72 + 0.380 = 3.937 ounces.
So, the 87% confidence interval for the size of the candles is (3.503 ounces, 3.937 ounces).
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What is the answer UwU
Your get 15 points for answering
2^3 x 7 is the prime factorization of wich number
Answer:
2-3x7=-7
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
Simplify. Remember to follow PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, solve the power:
2^3 = 2 * 2 * 2 = (2 * 2) * 2 = 4 * 2 = 8
Next, multiply:
8 x 7 = 56
56 is your answer.
~
A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every
machine he sells. Write an equation that shows the total amount of income the salesperson
earns, if he sells x machines in a year.
Answer:
$40,000 + $300x
Step-by-step explanation:
If the machine salesperson sold 5 machines, his commission would be $300 × 5 so if he sold x machines his commissions would be $300x. This value is added on to his base salary of $40,000.
Answer: $40,000 + $300x
Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. What was the total cost before sales tax? Round your answer to the nearest cen
The total cost before the sales tax was 19.828 pounds.
For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.
We have to determine the total cost before sales tax.
As per the question, we have prices as:
cost of turkey = 3.95 per pound
cost of egg cheese = 1.3 per pound
cost of egg salad = 0.89 per pound
The total cost of turkey = 3.8 × 3.95 = 15.01 pounds
The total cost of cheese = 2.2 × 1.3 = 2.86 pounds
The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds
The total cost before sales tax = 15.01 + 1.958 +2.86
Apply the addition operation, and we get
The total cost before sales tax = 19.828 pounds
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The question seems to be incomplete the correct question would be:
Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?
Is dividing by 0.5 the same as dividing by 2?
The dividing by 0.5 is not the same as dividing by 2 , because 0.5 and 2 are different numbers .
Let us understand the Division with the help of example ;
let the number be 10 ;
first we divide the number 10 by 0.5 ;
this can be written mathematically as ⇒ \(\frac{10}{0.5}\) ;
⇒ \(\frac{10}{\frac{1}{2} }\) = \(10\times2\) = 20 ;
So , on dividing 10 by 0.5 , we get the answer as 20 .
Second , the number 10 is divided by 2 ;
this can be written mathematically as ⇒ \(\frac{10}{2}\) ;
⇒ \(\frac{10}{2 }\) = 5 ;
So , on dividing 10 by 2 , we get the answer as 5 .
Therefore , dividing by 0.5 is not same as dividing by 2 .
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find the joint distribution of the two random variables x and y. Find the maximum likelihood estimators of
To find the joint distribution of two random variables x and y, we need more information such as the type of distribution or the relationship between x and y.
Similarly, to find the maximum likelihood estimators of x and y, we need to know the specific probability distribution or model. The method for finding the maximum likelihood estimators varies depending on the distribution or model.
Please provide more details about the distribution or model you are referring to, so that I can assist you further with finding the joint distribution and maximum likelihood estimators.
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Re-write the quadratic function below in Standard Form
y= 9(x - 1)(x + 7)
The value of quadratic function is,
⇒ y = 9x² + 54x - 63
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The equation is,
⇒ y = 9 (x - 1) (x + 7)
Now, We can find the quadratic equation as;
⇒ y = 9 (x - 1) (x + 7)
⇒ y = 9 (x² + 7x - x - 7)
⇒ y = 9 (x² + 6x - 7)
⇒ y = 9x² + 54x - 63
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6sin^2 (x) + 6sin (x) + 1 = 0
solve and show steps for the graph ( i already have the graph )
To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.
1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.
2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.
3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.
4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.
5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].
6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.
7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.
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ILL GIVE BRAINLEIST THIS WAS DUE YESTERDAY!! 5. Use the following information to answer the questions.
.
A survey asked 75 people if they wanted a later school day start time.
.
45 people were students, and the rest were teachers.
.
50 people voted yes for the later start.
• 30 students voted yes for the later start.
.
a) Use this information to complete the frequency table. (5 points: 1 point for
each cell that was not given above)
Students
Teachers
Total
Vote YES for
later start
Vote NO for later
start
Total
b) Use the completed table from Part a. What percentage of the people surveyed
were teachers? (2 points)
Answer:
a) Yes No Total
Students 30 15 45
Teachers 20 10 30
Total 50 25 75
b) 30/75 = 2/5 = 40% of the people surveyed were teachers.
c) 20/75 = 4/15 = 26.7% of the people surveyed were teachers who wanted a later start time.
Hannah needs to calculate the cotangent of an angle. She uses the ratio
opposite leg
for her calculation. Did Hannah correctly calculate the cotangent of the angle?
adjacent leg
A
B.
Yes, Hannah correctly calculated the cotangent of the angle.
adjacent leg
No, Hannah should have used the ratio
opposite leg
hypotenuse
No, Hannah should have used the ratio
opposite leg
O c.
D.
No, Hannah should have used the ratio
adjacent leg
hypotenuse
Answer:
B. No, Hannah should have used the ratio \( \frac{adjacent}{opposite} \)
Step-by-step explanation:
✍️The formula for calculating cotangent of an angle is given as:
\( cot = \frac{adjacent}{opposite} \).
The ratio, \( \frac{opposite}{adjacent} \), used by Hannah is the formula for calculating tangent of an angle.
Therefore, Hannah did not calculate the cotangent of the angle correctly.
She should have used, the ratio, \( \frac{adjacent}{opposite} \) instead.
For the function f(x) = -3(x-1) find f(0).
Answer:
f(0) = 3
Step-by-step explanation:
f(0) = -3(0-1)
f(0) = -3(-1)
f(0) = 3
Helppppppp meeeeeee pleaseeeeee asappp
Answer:
C
Step-by-step explanation:
open circle, arrow pointing left
Emma received a $40 gift card that could be used to download television programs. After downloading 5 programs, she had $30 remaining on her gift card. If each program cost the same amount to download, what is the cost of one download? On your work paper, be sure to define your variable, write an equation, solve and write your final answer in a sentence.
Answer:
x= 1 program
x= $2
Step-by-step explanation:
40-30= 10 <- what she spent
10/5 = 2
5 = Amount of Programs
Each program is $2.
Your welcome :)
Determine the domains of the following functions. Write your answer in interval nota-tion. Need help solving question b
I need help. What does n equal.
\(5n^{2}=7n-2\)
Answer:
\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)
Step-by-step explanation:
\(\rightarrow 5n^2 = 7n -2\)
\(\rightarrow 5n^2 - 7n +2=0\)
\(\rightarrow 5n^2 - 5n -2n+2=0\)
\(\rightarrow 5n(n - 1) -2(n-1)=0\)
\(\rightarrow (5n-2)(n-1)=0\)
\(\rightarrow 5n-2= 0,\: n-1=0\)
\(\rightarrow 5n= 2,\: n=1\)
\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)
Step-by-step explanation:
\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)
If 2/3 of a mini pizza cost $2. 40, what would 1/2 of a mini pizza cost?
Sorry for bad handwriting
if i was helpful Brainliests my answer ^_^
1/2 of a mini pizza would cost $0.60.
If 2/3 of a mini pizza cost $2.40, then 1/3 of a mini pizza would cost half of that:
1/3 of a mini pizza = 1/2 * $2.40 = $1.20
To find the cost of 1/2 of a mini pizza, we can divide the cost of 1/3 of a mini pizza by 2:
1/2 of a mini pizza = 1/2 * $1.20 = $0.60
Therefore, 1/2 of a mini pizza would cost $0.60.
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Solve for x. Round to the nearest tenth.
Using trigonometric function the value of x is 51.3°.
What is trigonometric function?
The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.
Here Let us take the given right triangle as ABC.
∠A = x , ∠B = 90° and AB = 25 , AC= 40
Now using Cosine ratio then
Cos A = \(\frac{adjacent}{hypotenuse}\)
=> cos x = \(\frac{25}{40}\)
=> cos x = \(\frac{5}{8}\)
=> x = \(cos^{-1}\frac{5}{8}\)
=> x = 51.3°
Hence the value of x is 51.3°.
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how do I find the inverse function of
To find the inverse function of F(x) = 2x - 3, we replace F(x) with y, swap the positions of x and y, and solve for y. The inverse function is f⁻¹(x) = (x+3)/2.
To find the inverse function of F(x) = 2x - 3, follow these steps
Replace F(x) with y. The equation now becomes y = 2x - 3.
Switch the positions of x and y, so the equation becomes x = 2y - 3.
Solve for y in terms of x. Add 3 to both sides: x + 3 = 2y.
Divide both sides by 2 (x + 3)/2 = y.
Replace y with the notation for the inverse function, f⁻¹(x): f⁻¹(x) = (x + 3)/2.
So, the inverse function of F(x) = 2x - 3 is f⁻¹(x) = (x + 3)/2.
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--The given question is incomplete, the complete question is given
" How do I find the inverse function of F(x) = 2x - 3"--
Integral sec y dy from zero to one-sixth of pi is log to base e srt 3 times the 64th power of what
The integral of sec(y) dy from zero to one-sixth of pi is equal to the natural logarithm of the square root of 3 times 64 raised to a certain power.
To evaluate the integral ∫ sec(y) dy from zero to one-sixth of pi, we can use the trigonometric identity that the integral of sec(y) dy is equal to the natural logarithm of the absolute value of the secant of y plus the tangent of y.
Integrating sec(y) dy gives us ln|sec(y) + tan(y)|. Evaluating the integral from zero to one-sixth of pi, we substitute the upper and lower limits of integration into the expression and subtract the result at the lower limit from the result at the upper limit.
ln|sec(π/6) + tan(π/6)| - ln|sec(0) + tan(0)|
Simplifying this expression, we know that sec(π/6) = √3/2 and tan(π/6) = 1/√3. Additionally, sec(0) = 1 and tan(0) = 0.
ln|√3/2 + 1/√3| - ln|1 + 0|
ln|√3 + 1| - ln|1|
ln|√3 + 1|
Therefore, the integral ∫ sec(y) dy from zero to one-sixth of pi is equal to the natural logarithm of the square root of 3 plus 1, or ln(√3 + 1).
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Why does the solution for an absolute value equation or inequality typically result in a pair of equations or inequalities?
Why the solution for an absolute value equation or inequality typically result in a pair of equations or inequalities?
Because the absolute value equations behave differently in the different ranges.
For a given absolute value equation (or inequality)
| x - a| = b
We get two equations or inequalities:
x - a = b
x - a = - b
And this is why the solution leads to two equations, this originates in the fact that the parent absolute value function:
f(x) = |x|
Behaves differently if x is positive or negative.
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Given: PQ ⊥ plane M
Prove: PQ is the shortest segment from P to plane M .
The statement to prove is that PQ is the shortest segment from point P to plane M when PQ is perpendicular to plane M.
To prove that PQ is the shortest segment from point P to plane M, we can use the concept of perpendicularity. When PQ is perpendicular to plane M, it forms a right angle with the plane.
In Euclidean geometry, it is known that the shortest distance between a point and a plane is along the line perpendicular to the plane passing through the point.
Therefore, since PQ is perpendicular to plane M, it follows that PQ is the shortest segment from point P to plane M. This can be mathematically proven using the principles of geometry and the definition of perpendicularity.
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prime or composite
number 1
67
Answer:
167 is a prime number. However, if you're looking for if 1 or 67 is prime or composite, 1 is neither prime nor composite, and 67 is also prime.
Step-by-step explanation:
To find if a number is prime, you check if the only factors of the number are 1 and itself. If a number has more than two factors, it is composite. The only exception to this rule is if the number is 1 or 0, then it will be neither prime nor composite.
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Three functions are shown in the table on the left. Complete the sentences comparing the three functions.
___ has the greatest maximum (f(x), g(x), h(x))
___ has the lowest minimum (f(x), g(x), h(x))
___ has/have both x- and y-intercepts (h(x), f(x) and g(x), f(x), g(x), h(x))
Answer:
h(x)
h(x)
f(x) g(x) h(x)
Step-by-step explanation:
Edge 2020
~theLocoCoco
h(x) , h(x) , and f(x) g(x) h(x)
need help pls help p
Answer: x = 6.3 I think
Mina is testing different types of heat lamps to determine which type is most effective for growing strawberry bushes. She purchases two different types of lamps from a local store. Mina applies brand A to one area of the yard and brand B to another area of the yard, both of which receive full sunlight. She waters the area with brand B daily; she waters the area with brand A every other day. At the end of the study, Mina concludes brand B is more effective in growing strawberry bushes. Is Mina's conclusion valid? Explain why or why not.
An experiment is a controlled study to explore cause and effect linkage. The conclusion to which Mina went is invalid.
What is an experiment?A controlled study in which the researcher strives to explore cause-and-effect linkages is known as an experiment.
To compare the two things the other perimeters during the time of the experiment must be similar. All the perimeter such as sunlight, type of fruit and the location of the two gardens is the same while the only perimeter that is not the same is the brand of water during the experiment. Since we are comparing the heat lamps, except for the different types of heat lamps rest of the perimeters should be the same.
Thus, the conclusion to which Mina went is invalid.
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