Answer:
37
Step-by-step explanation:
x=-4
=2(5-(-4)2+1
=2(5+4)2+1
=2(9)2+1
=18(2)+1
=36+1
=37
2. Sandra's house is located at the point (2,2). The school is located at the point (7, 10). Each
unit on the graph represents 1 mi. How far is the school from Sandra's house? Remember to
show your work.
Plot and label your points on the coordinate plane (1 point)
Use the Pythagorean Theorem to calculate the diagonal distance between the two
points, express your answer as a radical and as a decimal rounded to nearest
hundredths.
Answer:
Step-by-step explanation:
Francine currently has $55,000 in her 401k account at work, and plans to contribute $8,000 each year for the next 10 years. How much will she have in the account in 10 years, if the account averages a 4% annual return?
Answer:
Step-by-step explanation:
To calculate the future value of Francine's 401k account in 10 years, considering an annual contribution of $8,000 and an average annual return of 4%, we can use the formula for the future value of a series of regular payments, also known as an annuity.
The formula for the future value of an annuity is:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value
P is the payment amount
r is the interest rate per period
n is the number of periods
In this case:
P = $8,000 (annual contribution)
r = 4% or 0.04 (annual interest rate)
n = 10 (number of years)
Calculating the future value:
FV = $8,000 * [(1 + 0.04)^10 - 1] / 0.04
FV = $8,000 * (1.04^10 - 1) / 0.04
FV ≈ $8,000 * (1.480244 - 1) / 0.04
FV ≈ $8,000 * 0.480244 / 0.04
FV ≈ $8,000 * 12.0061
FV ≈ $96,048.80
Therefore, Francine will have approximately $96,048.80 in her 401k account in 10 years if the account averages a 4% annual return and she contributes $8,000 each year.
JLK is similar to PQR find the value of X
Answer:
30
Step-by-step explanation:
22/33=20/x
cross multiply
22x=33x20
22x=660
x=660/22
x=30
need help please see attacged
The domain of f(x) is (0, +∞), and the range is (0, +∞). The graph of the function will have a vertical asymptote at x = 0 and will continuously increase as x approaches positive infinity.
To graph the given logarithmic function f(x) based on the table, we can use the information provided. The table presents pairs of values (x, y), where x represents the input and y represents the output of the function.
From the table, we can observe that the input values (x) are positive and non-zero. This indicates that the domain of the function is x > 0, meaning x is greater than zero. In interval notation, the domain would be written as (0, +∞).
Looking at the output values (y) in the table, we see that they are all positive. This suggests that the range of the function is y > 0, meaning y is greater than zero. In interval notation, the range would be expressed as (0, +∞).
Graphically, the function f(x) is logarithmic and will have a vertical asymptote at x = 0. As x approaches positive infinity, the function increases without bound. The graph starts at y = 125 when x = 1, and it intersects the y-axis at y = 5 when x = 1.5. The graph of the function will resemble a curve that approaches but never touches the x-axis.
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please help- (in need of answer please don't put gibberish this is serious work)
Answer:
W = V/(LH)
Step-by-step explanation:
All we are doing is isolating W. Since V=LWH, then dividing both sides by LH will put W by itself on the right-hand side, you have V/(LH) = W as your equation
⦁ The construction of copying is started below. The next step is to set the width of the compass to the length of . How does this step ensure that the new angle will be congruent to the original angle?
Answer:
i believe by creating radii of equal lengths.
Step-by-step explanation:
it gives a path to create an angle congruent to angle APB. The angle APB would have the same radii (BP and AP) and the same width as the congruent angle that would be created.
Wish you good luck.
HELP THIS QUESTION IS HARD
Answer:
a)
[tex] \frac{1}{( - 7)^{4} } [/tex]
Answer:
[tex](-7)^-^4=\frac{1}{(-7)^4}[/tex]
Step-by-step explanation:
The user aswati already wrote the correct answer, but I wanted to help explain why their answer is correct so that you'll understand.
According to the negative exponent rule, when a base (let's call it m) is raised to a negative exponent (let's call it n), we rewrite it as a fraction where the numerator is 1 and the denominator is the base raised to the same exponent turned positive.
Thus, the negative exponent rule is given as:
[tex]b^-^n=\frac{1}{b^n}[/tex]
Thus, [tex](-7)^-^4[/tex] becomes [tex]\frac{1}{(-7)^4}[/tex]
A store employee notices that rowboats that cost his store 79$ are being sold for 175$. What percentage is the mark up?
Answer:
Step-by-step explanation:
Step 1. Determine the dollar amount of the markup
175 - 79 = 96
Step 2: Divide the markup Amount by the Cost
96/79 = 1.215
Step 3: Multiply by 100 and add the % sign
1.215 x 100 = 121.5%
Divisores pares de 100
Answer:
2, 4, 10, 20, 50, and 100.
Step-by-step explanation:
it is my first time taking my baby to the cinemas in Junes 2023, and the cinemas have sales because there are tons of kids' movies to be seen. For adults the ticket costs 70$ and for children it costs 30$, which tickets sell like 1000$ a day leading to 31000 a month. Calculate the number of tickets that were sold for adults and children in a day. A+C=1000 70+30=31000.
A+C=1000
70+30=31000
if we wanted to extend this discussion beypnd what has been shared so far, what additional question could we ask?
Step-by-step explanation:
If we wanted to extend the discussion beyond what has been shared so far, an additional question we could ask is:
"What is the ratio of adult tickets to children's tickets sold in a day?"
This question would provide insight into the distribution of ticket sales between adults and children and help us understand the demand for different movie genres or screenings among the audience.
Which of the segments below is a secant?
A. XY
B. UZ
C. XO
What number completes the sequence below? Enter your answer in the input
box at the bottom.
8——-4
16——8
24——12
32——?
Answer:
16
Step-by-step explanation:
the numbers on the right of the arrow are half the value of the corresponding numbers on the left, then
32 → [tex]\frac{1}{2}[/tex] (32)
32 → 16
anna rolled a pair of number cubes what is the probability of getting even number on both sides PLSSS HELP ME
It is best to draw a table of outcomes and list all the possible outcomes when you roll a pair of numbered cubes. As follows:
1 2 3 4 5 6
1 ( 1 , 1 ) ( 1 , 2 ) ( 1 , 3 ) ( 1 , 4 ) ( 1 , 5 ) ( 1 , 6 )
2 ( 2 , 1 ) ( 2, 2 ) ( 2 , 3 ) ( 2 , 4 ) ( 2 , 5 ) ( 2 , 6 )
3 ( 3 , 1 ) ( 3 , 2 ) ( 3 , 3 ) ( 3 , 4 ) ( 3 , 5 ) ( 3 , 6 )
4 ( 4 , 1 ) ( 4 , 2 ) ( 4 , 3 ) ( 4 , 4 ) ( 4 , 5 ) ( 4 , 6 )
5 ( 5 , 1 ) ( 5 , 2 ) ( 5 , 3 ) ( 5 , 4 ) ( 5 , 5 ) ( 5 , 6 )
6 ( 6 , 1 ) ( 6 , 2 ) ( 6 , 3 ) ( 6 , 4 ) ( 6 , 5 ) ( 6 , 6 )
- Each cube has 6 faces, Hence, 6 numbers for each are expressed as row and column for first and second cube respectively.
- Now locate and highlight all the even pairs shown in bold.
- The total number of even pairs outcomes are = 9.
- The total possibilities are = 36.
- The probability of getting even pairs as favorable outcome can be expressed as:
P ( Even pairs ) = Favorable outcomes / Total outcomes
P ( Even pairs ) = 9 / 36
P ( Even pairs ) = 1 / 4.
- So the probability of getting an even pair when a pair of number cubes are rolled is 1/4
The slope of the tangent line to the curve y= 3/x
at the point 5, 3/5 is-
The equation of this tangent line can be written in the form y = mx + b
where:
m is:
b is:
The tangent line at that point is:
y = (-3/25)*x + 6/5
so m = -3/25, and b = 6/5
How to find the slope of the tangent line?To find the slope at that point, we need to evaluate the derivative at that point.
y = 3/x
The derivative is:
y' = -3/x²
When x = 5, we have:
y' = -3/5² = -3/25
So that is the slope, m.
Now let's find the line.
The line must pass trhough the point (5, 3/5), then:
3/5 = (-3/25)*5 + b
3/5 = -3/5 + b
3/5 + 3/5 = b
6/5 = b
The equation of the line is:
y = (-3/25)*x + 6/5
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Instructions: Complete the following proof by dragging and dropping the correct reason into the space provided.
Given: ∠NYR and ∠RYA form a linear pair, ∠AXY and ∠AXZ form a linear pair, ∠RYA≅∠AXY
If you are using a screen-reader, please consult your instructor for assistance.
Prove: ∠NYR≅∠AXY
Step Reason
∠NYR and ∠RYA form a linear pair
∠AXY and ∠AXZ form a linear pair Given
∠NYR and ∠RYA are supplementary
m∠NYR+m∠RYA=180
∠AXY and ∠AXZ are supplementary If two angles form a linear pair, then they are supplementary angles
Definition of Supplementary Angles
m∠NYR+m∠RYA=m∠AXY+m∠AXZ Substitution Property of Equality
∠RYA≅∠AXY
m∠NYR+m∠RYA=m∠AXY+m∠RYA Substitution Property of Equality
m∠NYR=m∠AXY
≅
Answer:
Step Reason
∠NYR and ∠RYA form a linear pair
∠AXY and ∠AXZ form a linear pair Given
∠RYA≅∠AXY Given
∠NYR and ∠RYA are supplementary Definition of Linear Pair
If two angles form a linear pair, then they are supplementary angles Definition of Linear Pair
∠NYR and ∠AXY are supplementary Transitive Property of Equality
m∠NYR+m∠RYA=180
m∠AXY+m∠AXZ=180 Definition of Supplementary Angles
m∠NYR+m∠RYA=m∠AXY+m∠AXZ Substitution Property of Equality
m∠NYR+m∠RYA=m∠NYR+m∠AXZ Substitution Property of Equality
m∠RYA=m∠AXZ Subtraction Property of Equality
∠NYR and ∠AXY are supplementary Definition of Supplementary Angles
m∠NYR+m∠AXY=180
m∠NYR+m∠RYA=m∠NYR+m∠AXY Substitution Property of Equality
m∠RYA=m∠AXY Subtraction Property of Equality
∠NYR≅∠AXY Definition of Congruent Angles.
Given the graphs of y = f(x) and y = g(x),
g(x) = f(x) +
expresses g(x) in terms of f(x)
The expression g(x) = f(x) + represents the relationship between the two functions expression for g(x) in terms of f(x).
To express the function g(x) in terms of f(x), we need to understand the relationship between the two functions.
The given expression g(x) = f(x) + indicates that the function g(x) is obtained by adding a certain value or expression to the function f(x). expression for g(x) in terms of f(x).
In general, if we have the function g(x) = f(x) + c, where c is a constant value, then g(x) can be expressed in terms of f(x) as:
g(x) = f(x) + c
In this case, g(x) is obtained by adding the constant value c to the corresponding values of f(x).
It's important to note that without additional information about the specific relationship between f(x) and g(x), such as a functional equation or given values, we cannot provide a more precise expression for g(x) in terms of f(x).
Therefore, the expression g(x) = f(x) + represents the relationship between the two functions expression for g(x) in terms of f(x).
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Answer: 3
Step-by-step explanation: just 3
Edge 2020
On a line graph, time is usually represented on the vertical axis.
O True
O False
--
What is the answer? As the last one is incorrect
The best measure of center of the data is (a) mean; because the data are close together
How to determine the best measure of center of the dataFrom the question, we have the dataset of 10 values
In the given dataset, we can see that there are no outliers present in the dataset
By definition, outliers are extreme values.
Since there are no outliers, it means that the mean is the best measure of center
This is because the mean is affected by the presence of outliers and since no outlier is present, we use the mean
From the list of options, we have the mean value to be 42.536
Hence, the true statement is (a)
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Please help me with this question
Answer:
try (gauth math) could be helpful take screen shot and upload it it may be there or not hopefully it is
Select the correct answer.
The number of hours that 20 people spent watching television per day, in relation to age, is graphed. This quadratic equation represents the model
for the set of data.
y = 0.004z²0.314z + 7.5
Based on the model, approximately how much time does an 18-year-old spend watching television each day?
O A.
OB.
O C.
O D.
3 hours
2 hours
7.5 hours
0.5 hour
Based on the quadratic function, an 18 year old would spend 3 hours watching television.
Using the quadratic function given :
y = 0.004z²-0.314z + 7.5The age is represented as the variable , 'z'
substitute z = 18 into the equation
y = (0.004*18²) - 0.314(18) + 7.5
y = 3.144
y = 3 hours approximately
Hence, an 18 year old spend approximately 18 hours watching television.
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Find Tan A 6-11, please?
Answer:
5) tan A = 0.42
6) Acute angle is less than 90°
7) Right angle is exactly 90°
8) Obtuse angle is greater than 90° but less than 180°
9) Straight angle is exactly 180°
10) Complementary angles add up to 90°
11) Supplementary angles add up to 180°
Step-by-step explanation:
tan A = opposite / adjacent
= 5/12
= 0.42
Pregunta 1
Resuelve el siguiente problema aplicando las estrategias de solución de problemas.
• El área de un triángulo es de 30 pies cuadrados y la base mide 5 pies. ¿Cuál es la
altura del triángulo en pulgadas?
Answer:
I can't understand the language but try people who can
the month net salary rate of a married secondary level teacher of 4 grade is Rs 43,689. s/he gets Rs 1,456 for one grade , Rs 2,000 for dearness allowance in every month and one month salary for festival allowance at once. 10% of his/her monthly salary is deposited in employee's provident fund (EPF), 10% in citizen investment fund (CIF) and Rs 400 in life insurance in each month. the government deposits the same EPF and insurance premium amounts in the related offices
1) find his/her assessable income
2) find his/her total income tax
Answer:
Step-by-step explanation:
The Chief Secretary's total monthly salary, including basic salary, dearness allowance, and festival allowance, is Rs 1,50,000.
We have,
The monthly basic salary of the married Chief Secretary of Nepal Government is given as Rs 74,000.
This is the fixed amount he receives as his base salary every month, before any additional allowances or deductions are considered.
Now,
In this case, the dearness allowance of Rs 2,000 is added to the basic salary.
This allowance is provided to compensate for the rising cost of living and is a fixed amount added to the basic salary.
Additionally, he receives 1 month's basic salary as a festival allowance. Since his monthly basic salary is Rs 74,000, his festival allowance would also be Rs 74,000.
Therefore, his total monthly salary can be calculated as follows:
Basic salary + Dearness allowance + Festival allowance
= Rs 74,000 + Rs 2,000 + Rs 74,000
= Rs 1,50,000
Thus,
The Chief Secretary's total monthly salary, including basic salary, dearness allowance, and festival allowance, is Rs 1,50,000.
¿Cuál es el costo de un plátano si el racimo de 22 plátanos cuesta $23.10?
The cost of a single unit is given as follows:
$1.05.
El costo de un plátano es el seguiente:
$1.05.
How to obtain the cost of a single unit?The cost of a single unit is obtained applying the proportions in the context of the problem.
The cost of 22 units is of $23.10, hence the cost of a single unit is obtained dividing the total cost by the number of units, as follows:
23.1/22 = $1.05.
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Given the sequence 9/8, 3/4, 1/2,...,8/81 is the geometric sequence. Find the common ratio and the number of all terms of this sequence.
Common ratio of the geometric sequence 9/8, 3/4, 1/2,...,8/81 is 2/3 and the number of all terms in this sequence is 7.
As we know that,
Common ratio of any G.P. is a constant number that is multiplied by the previous term to obtain the next term.
So, r= (n+1)th term / nth term
where r ⇒ common ratio
(n+1)th term⇒ succeeding term
nth term⇒ preceding term
According to the given question, r = (9/8) / (3/4)
r = (2/3)
We also know,
Any term of a G.P. [nth term] can be obtained by the formula:
Tₙ= a[tex]r^{n-1}[/tex]
where, Tₙ= nth term
a= first term of G.P.
r=common ratio
Since last term of the G.P. is given to be 8/81; putting this in the above formula will yield us the total number of terms.
Tₙ= a[tex]r^{n-1}[/tex]
⇒ (8/81) = (9/8) x ([tex]2/3^{n-1}[/tex])
⇒ (64/729)= ([tex]2/3^{n-1}[/tex])
⇒[tex](2/3)^{6}[/tex] = ([tex]2/3^{n-1}[/tex])
⇒ n-1 = 6
⇒ n = 7
∴ The total number of terms in G.P. is 7.
Therefore, Common ratio of the sequence 9/8, 3/4, 1/2,...,8/81 is 2/3 and the number of all terms in this sequence is 7.
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The Common Ratio for this geometric sequence is 2/3 and the total number of terms in the sequence is 6.
Explanation:The given mathematical sequence appears to be a geometric sequence, which is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the Common Ratio. In a geometric sequence, you can find the Common Ratio by dividing any term by the preceding term.
So in this case, the second term (3/4) divided by the first term (9/8) equals 2/3. Therefore, the Common Ratio for this geometric sequence is 2/3.
To find the total number of terms in this sequence we use the formula for the nth term of a geometric sequence: a*n = a*r^(n-1), where a is the first term, r is the common ratio, and n is the number of terms. This gives us: 8/81 = (9/8)*(2/3)^(n-1). Solving this for n gives us n = 6. Therefore, the total number of terms in this sequence is 6.
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Find the area of the triangle below be sure to include the correct unit in your answer.
Answer:
Step-by-step explanation:
Which linear function has the greatest y-intercept?
y = 6 x + 1
On a coordinate plane, a line goes through points (0, 2) and (5, 0).
On a coordinate plane, a line goes through points (1, 2) and (0, negative 3).
y = 3 x + 4
The linear function that has the greatest y-intercept is [tex]y = 3x + 4[/tex].
In a linear equation, the y-intercept is where the line crosses the y-axis.
It is represented by the constant term in the equation.
So, to determine which linear function has the greatest y-intercept, we need to look at the constant term of each equation.
Let's consider each equation: [tex]y = 6x + 1[/tex]
The constant term in this equation is 1.
So, the y-intercept is 1.
On a coordinate plane, a line goes through points (0, 2) and (5, 0).
To find the equation of this line, we can use the point-slope form:
[tex]y - y1 = m(x - x1)[/tex]
where m is the slope and (x1, y1) is a point on the line.
Using the points (0, 2) and (5, 0), we get:
[tex]m = \frac{(0 - 2)}{(5 - 0)} =-\frac{2}{5}[/tex]
So, the equation of the line is:
[tex]y - 2 = (\frac{-2}{5} )(x - 0)[/tex]
[tex]y = (\frac{-2}{5} )x + 2[/tex]
The constant term in this equation is 2.
So, the y-intercept is 2.
On a coordinate plane, a line goes through points (1, 2) and (0, -3).
To find the equation of this line, we can use the point-slope form:
[tex]y - y1 = m(x - x1)[/tex]
where m is the slope and (x1, y1) is a point on the line.
Using the points (1, 2) and (0, -3), we get:
[tex]m = \frac{ (-3 - 2) }{(0 - 1)} = -5[/tex]
So, the equation of the line is:
[tex]y - 2 = (-5)(x - 1)y = -5x + 7[/tex]
The constant term in this equation is 7.
So, the y-intercept is 7.
[tex]y = 3x + 4[/tex]
The constant term in this equation is 4.
So, the y-intercept is 4.
Therefore, we can see that the linear function that has the greatest y-intercept is [tex]y = 3x + 4[/tex].
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In a sample of 5,000 students , the mean GPA is 2.80 and the standard deviation is 0.35. Assume the distribution to be normal.
How many students score below 2.60?
In a sample of 5000 students, the mean GPA is 2.80 and their standard deviation is 0.35 and 1428 students score below 2.60.
To find the number of students scoring below 2.60, we need to calculate the area under the normal distribution curve to the left of this value.
First, we need to standardize the value of 2.60 using the z-score formula: z = (x - μ) / σ, where x is the value (2.60), μ is the mean (2.80), and σ is the standard deviation (0.35). Plugging in the values, we get z = (2.60 - 2.80) / 0.35 = -0.57.
Now, we can use a standard normal distribution table or a statistical calculator to find the area to the left of -0.57. Consulting a standard normal distribution table, we find that the area to the left of -0.57 is approximately 0.2857.
To calculate the number of students scoring below 2.60, we multiply this area by the total number of students in the sample: 0.2857 * 5000 ≈ 1428.5.
Since the number of students must be a whole number, we round down to 1428 students.
Therefore, approximately 1428 students score below 2.60 in the sample of 5000 students, assuming a normal distribution with a mean of 2.80 and a standard deviation of 0.35.
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Determine the limit in the following equation.
The limit of the expression lim (x² - √x⁴ + 3x²) as x approaches any value is indeterminate (∞ - ∞), except when x approaches zero, where the limit is 0.
How did we get the value?To find the limit of the expression lim (x² - √x⁴ + 3x²) as x approaches a certain value, we can simplify the expression and evaluate the limit.
First, let's simplify the expression:
lim (x² - √x⁴ + 3x²)
= lim (4x² - x² - √x⁴)
= lim (3x² - √x⁴)
Now, let's consider the behavior of the expression as x approaches a value.
As x approaches any finite value, the term 3x² will approach a finite value.
For the term √x⁴, as x approaches a finite value, the square root of x⁴ will approach the absolute value of x².
Therefore, the limit becomes:
lim (3x² - √x⁴) = lim (3x² - |x²|)
Next, let's consider the different cases as x approaches positive infinity, negative infinity, and zero.
1. As x approaches positive infinity, the term 3x² will tend to positive infinity, and |x²| will also tend to positive infinity. Thus, the expression becomes:
lim (3x² - |x²|) = lim (∞ - ∞)
In this case, the limit is indeterminate (∞ - ∞).
2. As x approaches negative infinity, the term 3x² will tend to positive infinity, and |x²| will also tend to positive infinity. Thus, the expression becomes:
lim (3x² - |x²|) = lim (∞ - ∞)
Again, in this case, the limit is indeterminate (∞ - ∞).
3. As x approaches zero, the term 3x² will tend to zero, and |x²| will also tend to zero. Thus, the expression becomes:
lim (3x² - |x²|) = lim (0 - 0) = 0
Therefore, the limit of the expression lim (x² - √x⁴ + 3x²) as x approaches any value is indeterminate (∞ - ∞), except when x approaches zero, where the limit is 0.
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What is the five-number summary for the data set? 73, 62, 90, 28, 45, 90
Answer:
it's easy
Step-by-step explanation:
first take a deep breath and then search it