Answer:
7
Step-by-step explanation:
24^2+x^=25^2
576+x^2+576
49=X^2
square root 49 and x
x=7
solve for x, show all work
The value of x for the given right triangle is 2 units.
According to the question,
We have the following information:
We have a right triangle where the measurements of its sides are given and one angle is given.
We can use trigonometric function to find the value of x for this triangle.
So, we have the following expression:
Sin 60 = √3/x
Putting the value of sin 60:
√3/2 = √3/x
Using the cross multiplication method:
√3x = 2√3
Dividing by √3 on both the sides:
x = 2 units
Hence, the value of x for the given right triangle is 2 units.
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The inequality 1. 2w - 3. 4 < 8. 6 has an infinite number of solutions. Which set contains ONLY solutions?
The set that contains ONLY solutions for the inequality 1.2w - 3.4 < 8.6 is the set of all real numbers.
In this inequality, there are no specific limitations or restrictions on the variable w. It is an open-ended inequality with no boundary or range specified. Therefore, any real number value of w that satisfies the inequality will be a valid solution. This means that the set of solutions includes all real numbers.
The set of all real numbers encompasses both positive and negative numbers, fractions, decimals, and irrational numbers. Since there are no constraints or restrictions provided in the inequality, every real number value for w will make the inequality true. Hence, the set of all real numbers is the only set that contains ONLY solutions for the given inequality.
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If a minus b = 5
and (a)^2 + (b)^2 = 9
What’s the value of ab?
If a minus b=5 and \(a^2+b^2\)=9 then using algebraic identity ab= -8.
What is algebraic identity?
Algebraic identities are algebraic equations that are true regardless of the value of each variable. To quickly solve an algebraic statement or polynomial, algebraic identities are utilised. The calculation is simplified by it. The three mathematical algebraic identities are:
Identity 1: \((a+b)^2=a^2+b^2+2ab\)
Identity 2:\((a-b)^2=a^2+b^2-2ab\)
Identity 3:\((a^2-b^2)=(a+b)(a-b)\)
Here a-b= 5 and \(a^2+b^2\)=9.
Using algebraic identity formula,
=> \((a-b)^2\)= \(a^2+b^2\)-2ab.
=> \(5^2\)= 9-2ab
=> 25=9-2ab
=> 2ab = 9-25
=>2ab = -16
=> ab = -16/2 = -8.
Hence the value of ab= -8.
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A wise man once said, "My age divided by three
reduced by 76 equals 215." What is his age?
Answer: 873
Step-by-step explanation:
let age = x
x/3 - 76 = 215
x/3 = 291
x = 873
In circle I, IJ=4 and mJIK∠=90∘ Find the area of shaded sector. Express your answer as a fraction times π.
The area of the shaded sector is 4π square units.
To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.
Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.
Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.
The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.
Plugging in the values, we have A = (90/360) * π * 4².
Simplifying, A = (1/4) * π * 16.
Further simplifying, A = (1/4) * π * 16.
Canceling out the common factors, A = π * 4.
Hence, the area of the shaded sector is 4π square units.
Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.
In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.
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What expression is equivalent to tje alegbraic expression
2n-n
Possible Answers
n+2
2n+2
n²
n
3n
Answer:
n
Step-by-step explanation:
2n - n ← factor out n from each term
= n(2 - 1)
= n × 1
= n
Can someone please help me! Thank youuuu!
Answer:
d
Step-by-step explanation:
a1 =4 and an=-1+1 then find the value of a5
The value of a5 is 8.
Given that,
a₁ = 4
aₙ = aₙ₋₁ + 1
So, we can find the second term a₂ using the equation of nth term,
a₂ = a₍₂₋₁₎ + 1
a₂ = a₁ + 1
Applying the value of a₁,
a₂ = 4 + 1
a₂ = 5
So, finding the value of a₃,
a₃ = a₍₃₋₁₎ + 1
a₃ = a₂ + 1
a₃ = 5 + 1
a₃ = 6
So, the value of a₄ will be,
a₄ = a₃ + 1 = 6 + 1
a₄ = 7
Therefore,
a₅ = a₄ + 1 = 7 + 1
a₅ = 8
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What is the practical importance of research?.
The research is important for the students because it helps them to have a detailed analysis of everything. When you have a proper in-depth analysis of any topic, the result comes out to be fruitful and also the knowledge is enhanced.
The research is important for the students because it helps them to have a detailed analysis of everything. When you have a proper in-depth analysis of any topic, the result comes out to be fruitful and also the knowledge is enhanced.
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A pair of shoes that normally sells for $85.00 goes on sale for 35% off.
Sean thinks that the sale price should be $50.00 but Melanie disagrees and says the price should be $55.25. Aiyanna says they are both wrong and decides the price should be $29.75.
Who is correct and why?
A: Aiyanna is correct.
B: Sean is correct.
C: Melanie is correct.
Answer:
C: Melanie is correct.
Step-by-step explanation:
The U.S. government authorizes private contractors to audit bills paid by Medicare and Medicaid. The contractor audits a random sample of paid claims and judges each claim to be either fully justified or an overpayment. One of the authors of your textbook served as a statistical consultant in connection with one audit. We cannot share the health care provider for reasons of confidentiality, but the results of the audit are detailed here. First, claims were categorized as either small or medium claims, then a simple random sample of 30 claims was selected from each group. Fourteen of the small claims and eight of the medium claims were determined to be over-payments. We will use these data to answer the question "Does the probability that a claim is judged to be an overpayment depend on the size of the claim?"
Introduction:The data involves auditing bills paid by Medicare and Medicaid. The audit is done on a random sample of paid claims. The auditor judges each claim to be either fully justified or an overpayment.
Then, a simple random sample of 30 claims is selected from each group. Fourteen of the small claims and eight of the medium claims were determined to be over-payments. We will use these data to answer the question "Does the probability that a claim is judged to be an overpayment depend on the size of the claim?"Explanation:To answer the question "Does the probability that a claim is judged to be an overpayment depend on the size of the claim?", we need to perform a hypothesis test.
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Please help with this math its easy but i really need to get it in
What is the sum of the angles in the diagram?
A small box measures 7 in. by 10 in. by 3 in. high. Find the volume of the box.
Answer:
210 in.
Step-by-step explanation:
Volume of a box = V = length x width x height
You don't have to know which number is the length, width and height since you are multiplying all of them together anyways.
V = 7in x 10in x 3in
V = 210 in
The volume of the box 210 cubic inches.
What is volume of cuboid?The volume of a cuboid is defined as the total number of cubic units occupied by the cuboid completely. A cuboid is a three-dimensional solid figure, having 6 square faces. Volume is nothing but the total space occupied by an object.
The dimensions of given box is length=7 inches, width=10 inches and height=3 inches.
We know that, volume of cuboid is length×width×height
Now, volume =7×10×3
= 210 cubic inches
Therefore, the volume of the box 210 cubic inches.
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There is $100 on a gift card. $45 was spent on a pair of shoes. The rest will be spent on $5 cups of coffee. What is the maximum number of cups of coffee that can be bought?
Let c Represent:
Inequality:
Solution:
Answer: A solution to an equation is a number that can be plugged in for the variable to make a true number statement. Example 1: Substituting 2 for x in.
Step-by-step explanation:
,11
Step-by-step explanation:
let's face it.
100-45=55. 55/5=11
therefore,The maxium number is 11
How do I solve this question?
DE is parallel to ST as ∠ EAT = ∠ AED which are alternate interior angles.
∠TAC = ∠ABC (The angle between the chord and the tangent is equal to the angle in the alternate segment)
Since, EDCB is a cyclic quadrilateral,
∠CBD + ∠CED = 180 ----- I
- ∠CED + ∠AED = 180 -----II
----------------------------------------------------
∠ CBD = ∠AED
Also, ∠ CBD = ∠ EAT( A is tangent to the circle)
So, ∠ EAT = ∠ AED ( Alternate interior angle)
So, DE || ST
Therefore, DE is parallel to ST as ∠ EAT = ∠ AED which are alternate interior angles.
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The money used in Jordan is called the
Dinar. The exchange rate is 1 Dinar for
every $1.40. Find how many dollars you
would receive if you exchanged 32.4
Dinars.
Answer:
$45.36
Step-by-step explanation:
1 dinar = $1.4
32.4=?
32.4*1.4
$45.36
PLEASE HELP! WILL GIVE BRAINLIEST!
given y′=16x with y(e)=53. find y(e2).
y(e2) = 4e^2 + (53 - 4e^2)e^(-16e^2), found by integrating the ODE y′ = 16x and using the initial condition y(e) = 53.
What is differential equation ?
A differential equation is an equation which contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable.
mu(x) = e^(int 16 dx) = e^(16x^2/2)
multiply both sides of the differential equation by the integrating factor to obtain:
mu(x) * y′ = 16x * mu(x)
Integrating both sides with respect to x, we get:
mu(x) * y = 8x^2 + C
Dividing both sides by the integrating factor, we get:
y = 4x^2 + Ce^(-16x^2/2)
Using the initial condition y(e) = 53, we can find the value of the constant C:
53 = 4e^2 + Ce^(-16e^2/2)
Solving for C, we get:
C = 53 - 4e^2
So the general solution for the differential equation is:
y = 4x^2 + (53 - 4e^2)e^(-16x^2/2)
Finally, to find y(e2), we plug in x = e2 into the general solution:
y(e2) = 4e^2 + (53 - 4e^2)e^(-16e^2)
And that gives us the value of y at x = e2.
y(e2) = 4e^2 + (53 - 4e^2)e^(-16e^2), found by integrating the ODE y′ = 16x and using the initial condition y(e) = 53.
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pan of which followi. Aequired: 1. A Proakie al inoome absement for the year ansed Kowember 20 , sora. C. Prepare a baiance theef as of Noventer 30 2oya acied Noventer 30, a VE. have been tho awount of aw meane ar not ioss?
The income statement should include all sources of revenue and deduct all applicable expenses to calculate the net income or loss for the period. To create a balance sheet gather information about the company's assets, liabilities, and shareholders' equity as of that specific date. To determine whether there has been an increase or decrease compare the net income figure from a previous period with the net income figure from the current period
1) To prepare a projected income statement for the year ending November 20, sora, you would need to gather information about the revenues and expenses expected during that period. The income statement should include all sources of revenue and deduct all applicable expenses to calculate the net income or loss for the period.
2) To create a balance sheet as of November 30, 2oya, you will need to gather information about the company's assets, liabilities, and shareholders' equity as of that specific date. The balance sheet provides a snapshot of the company's financial position, showing what it owns, owes, and the remaining equity.
3) To determine whether there has been an increase or decrease in the amount of net income, you would need to compare the net income figure from a previous period (presumably November 20, sora) with the net income figure from the current period (ending November 30, 2oya). If the net income has increased, it means the company has generated more profit during the current period compared to the previous one. Conversely, if the net income has decreased, it indicates a decline in profitability.
Overall, the task involves preparing a projected income statement and balance sheet and analyzing the change in net income to assess the company's financial performance.
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Follow the steps to find the product of and 0.55.
Estimate the product of and 0.55.
1/4-
Convert the decimal 0.55 to a fraction.
V55/100
What is the product of the two numbers?
X 110/150 or 11/15
110/300 or 11/30
77/103
1) Estimate value of the product of 2/3 and 0.55 is, 2/3.
2) The fraction part is, 55 / 100
3) The product of the two numbers is, 11/30
We have to given that,
Estimate the product of 2/3 and 0.55.
And, Convert the decimal 0.55 to a fraction.
And, The product of the two numbers.
Now,
Estimate the product of 2/3 and 0.55,
So, we can round 0.55 to the nearest whole number, which is 1.
Then, multiply 2/3 by 1 to get an estimate of the product.
so, The correct answer is 2/3.
Now, we can convert the decimal 0.55 to a fraction,
= 0.55
= 55/100
= 11/20
Thus, The correct answer is, 55/100.
And, the product of 2/3 and 0.55,
= 2/3 x 55/100
= 110/300
= 11/30.
Hence, The correct answer is, 110/300 or 11/30
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2. sketch the final figure if you combine the first 100 figures. you do not need to draw every square. how many squares would you have drawn if you drew it like the others?
Drawing every single square may not be necessary, as you can use the pattern of the previous figures to predict the placement of the squares in the final figure. This can save time and effort, while still achieving the desired outcome.
To answer your question, if you were to combine the first 100 figures, you would end up with a much larger figure consisting of 100 squares in each row and column, resulting in a total of 10,000 squares. However, you do not need to draw every square to sketch the final figure.
To sketch the final figure, you would start by drawing a square grid of 100 squares in each row and column, similar to the previous figures. Then, you would need to fill in the squares based on the pattern of the previous figures.
Assuming you drew each square in the previous figures, combining the first 100 figures would result in drawing a total of 100 x 100 x 100 squares, which equals 1,000,000 squares. This is because each figure consists of 100 squares, and there are 100 figures being combined.
However, drawing every single square may not be necessary, as you can use the pattern of the previous figures to predict the placement of the squares in the final figure. This can save time and effort, while still achieving the desired outcome.
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I need help coming up with a short story about mold
Answer:
Intro: Yourself
Conflict: Hunger
Rising action: Find bread
Second Conflict: It's moldy
Climax: Go to the store
Falling action get bread
Step-by-step explanation:
Not enough points for me to write a whole story, so heres just a simple plotline.
Which function rule represents the data in the table below?
The function y = 3 + 6x represents the data given in the table.
What is a function?
A function is a relationship between two sets of numbers, called the domain and the range. It is a rule that assigns to each element of the domain exactly one element of the range. In other words, a function is a set of ordered pairs (x, y) where each value of x is associated with a unique value of y.
According to question:The output (y) increases by 6 each time the input (x) increases by 1. Therefore, we can conclude that the relationship between x and y is a linear one with a slope of 6 and a y-intercept of 3.
The function rule that represents the data in the table is:
y = 6x + 3
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(c) Paul uses the function y = 7x + 30 to model the situation. What score does Paul’s model predict for 3 hours of homework?
(d) Describe what the number 30 in Part (c) mean in the context of the situation?
Answer:
(c) Paul's model predicts a score of 51 for 3 hours
(d) 30 represents the y intercept
Step-by-step explanation:
Given
\(y = 7x + 30\)
Solving (c): What is y when x is 3
Substitute 3 for x in \(y = 7x + 30\)
\(y = 7*3 + 30\)
\(y = 21 + 30\)
\(y = 51\)
Solving (d): What does 30 represent
An equation is represented as:
\(y = mx + b\)
Where
\(b = y\ intercept\)
Compare: \(y = mx + b\) to \(y = 7x + 30\)
\(b = 30\)
This implies that 30 represents the y intercept
consider a family with three children in which both parents are carriers for cystic fibrosis. what is the probability that they will have exactly one affected child?
The probability that they will have exactly one affected child is 9/64.
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.
Probability of affecting for 1 child = 3/4 = q
Probability of not affecting on 1 child =p=1/4
Formula:
P( exactly one affected child )
= \(^{3}C_{1}\) * * (1/4)² * (3/4) = 9/64
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A store sells bananas by weight. The total cost to buy 5 pounds of bananas is $3.75.
How do you correctly calculate the total cost, T, to buy 2 pounds of bananas?
Answer:
Answer
5=$3.75
3.75÷5=.75 ($.75 per banana)
.75x2=T
T=$1.50
Step-by-step explanation:
Answer:
T= 0.75
Step-by-step explanation:
5=$3.75
3.75÷5=.75 ($.75 per banana)
.75x2=T
enjoy points cuz I lost my Crown :(
Answer:
You know what :)
Step-by-step explanation:
I feel bad so if you ever need help you can ask me! :)
Answer:
hi yaar, mai hu indian
nice too meet you
my name Ankit kumar
any doubt
I'm giving branliest 2X - 3y = 12 in a standard and point slope form
determine algebraically whether the given function is even, odd, or neither.
Answer:
To determine whether a function is even, odd, or neither, check if the function satisfies the properties of even or odd functions algebraically. If f(x) = f(-x), the function is even. If f(x) = -f(-x), the function is odd. Otherwise, it is neither.
Step-by-step explanation:
To determine whether a given function is even, odd, or neither, we need to analyze the function's algebraic properties based on how it behaves with respect to symmetry and the sign of its variables.
Even Function: An even function is symmetric with respect to the y-axis, meaning that if you reflect the graph of the function across the y-axis, it remains unchanged. Algebraically, an even function satisfies the property: f(x) = f(-x) for all x in the function's domain.
Odd Function: An odd function is symmetric with respect to the origin (0,0), meaning that if you rotate the graph of the function by 180 degrees around the origin, it remains unchanged. Algebraically, an odd function satisfies the property: f(x) = -f(-x) for all x in the function's domain.
Neither Function: If a function does not satisfy the properties of even or odd functions, it is considered neither.To determine the nature of a specific function, you would need to provide the function itself. Please provide the function, and I will be able to help you determine whether it is even, odd, or neither.
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