Answer:
A
Step-by-step explanation:
PLEASSSSEEE HELP ! what number belongs in the box ? y=200+ ? x
Answer:
10
Step-by-step explanation:
It's the $10 that is to be added to the cost for each produced item.
What is the area under the curve between z=-1 and z=2 standard normal distribution
The area under the curve between z = -1 and z = 2 in the standard normal distribution is approximately 0.8186.
The standard normal distribution, also known as the Z-distribution, is a probability distribution with a mean of 0 and a standard deviation of 1. The area under the curve represents the probability of a random variable falling within a certain range. To find the area under the curve between z = -1 and z = 2, we can use statistical tables or calculators that provide the cumulative distribution function (CDF) for the standard normal distribution. The CDF gives the probability that a random variable is less than or equal to a given value.
Using the standard normal distribution table or calculator, we find that the CDF value for z = -1 is approximately 0.1587 and the CDF value for z = 2 is approximately 0.9772. To find the area under the curve between these two z-values, we subtract the CDF value for z = -1 from the CDF value for z = 2: 0.9772 - 0.1587 = 0.8185. Therefore, the area under the curve between z = -1 and z = 2 in the standard normal distribution is approximately 0.8186. This represents the probability that a random variable from the standard normal distribution falls within the range of -1 to 2.
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For the function f(x) = 3x + 7, find f'(1), f '(3), and f'(10).
Can anyone help?
The numbers of hours worked (per week) bv 400 statistics students are shown below. a. Create a relative frequency table. b. What is the cumulative percent frequency for students working less than 20 hours per week? c. What is the percentage of students who work at least 10 hours per week?
can someone help me
Step-by-step explanation:
if this figure is rectangle then opposite side of rectangle are equal
perimeter= sum of all sides
156=5x-3+5x-3+4x+4x
156=18x-6
x=9
So length of side WX is 9. 4
WX= 36
Please help me step by step how to solve this quadratic equation 2a^2=-6+8a
The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.
To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.
Step 1: Move all the terms to one side of the equation to set it equal to zero:
2a^2 - 8a + 6 = 0
Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':
a = (-b ± √(b^2 - 4ac))/(2a)
Comparing with our equation, we have:
a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))
Simplifying further:
a = (8 ± √(64 - 48))/(4)
a = (8 ± √16)/(4)
a = (8 ± 4)/(4)
Now, we can calculate the two possible solutions:
a1 = (8 + 4)/(4) = 12/4 = 3
a2 = (8 - 4)/(4) = 4/4 = 1
Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.
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Rosita is writing an explicit function for the geometric sequence:
80, 40, 20, 10,...
She comes up with t(n) = 160(1/2)^n
What domain should Rosita use for T so it generates the sequence?
Choose 1 answer
A: n ≥ 0 where n is an integer
B: n ≥ 0 where n is any number
C: n ≥ 1 where n is an integer
D: n ≥ 1 where n is any number
Answer:
C- where n (greater than or equal to ) 1
Step-by-step explanation:
C- where n (greater than or equal to ) 1
Because in that sequence 0 doesn't make sense since 160 * 1/2 = 80 ^ 0 = 1. Doesn't make sense since there's no "1" in that sequence.
It's not "any number" because It can't be negative nor a decimal.
So, C.
:) hope this helps
Rosita should use the domain in option C : n ≥ 1, where n is an integer to generate the sequence for the function T(n) = 160 ( \(\frac{1}{2}\) )ⁿ.
What is a Function?Functions are defined as the relation which is mapped from a set A to a set B such that it satisfies the property that an element in set A will only map to one element in B.
If f is a function defined from a set A to a set B, then all the elements of A which has an image on B is called the domain of the function f.
Here the given function is,
T(n) = 160 ( \(\frac{1}{2}\) )ⁿ
And we know the first element is 80.
T(n) = 80 if and only if n = 1
T(1) = 160 ( \(\frac{1}{2}\) )¹ = 160 / 2 = 80
Similarly,
T(2) = 160 ( \(\frac{1}{2}\) )² = 40
T(3) = 160 ( \(\frac{1}{2}\) )³ = 20
T(4) = 160 ( \(\frac{1}{2}\) )⁴ = 10
and it goes on.
So the values of n are all integers where n ≥ 1.
Hence the domain of the function T(n) = 160 ( \(\frac{1}{2}\) )ⁿ that Rosita should use for T to generate the sequence is n ≥ 1 where n is an integer.
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Write the equation of the line in slope- intercept form
Answer:
y=8x+1
Step-by-step explanation:
y=mx+b
m=rise/run=(8)/(1)=8
y=8x+b
b is the y-intercept
y=8x+1
What is the perimeter of the composite figure? 4 yd 4 yd 4 yd 4 yd 6 yd
Use the half-angle formulas to determine the exact values of the sine, cosine,
and tangent of the angle. 7π/8
The exact values for angles sine, cosine and tangent are
sin((7π/8)/2) = ±0.98078°
cos((7π/8)/2) = ±0.19509°
tan(7π/8) = ± 5.02733°
What is half angle identities?
In trigonometry, the half-angle formula is used to calculate the precise values of trigonometric ratios of angles like 15° (half of the standard angle 30°), 22.5° (half of the standard angle 45°), and so on. The half angle is represented by θ/2 if is an angle.
Let the given angle is θ = 7π/8.
We have to find the exact values of the sine, cosine and tangent angles using half angle formulas.
Consider, the half angle formula for sine,
sin(θ/2) = ± √((1 - cosθ) / 2)
sin((7π/8)/2) = ±√((1 - cos(7π/8)/2)
sin((7π/8)/2) = ±0.98078°
Now consider the half angle formula for cosine,
cos(θ/2) = ± √(1 + cosθ)/2
cos((7π/8)/2) = ± √(1 + cos(7π/8)/2)
cos((7π/8)/2) = ±0.19509°
Now consider the half angle formula for tangent,
tan(θ/2) = ± √((1 - cosθ)/(1 + cosθ))
tan(7π/8) = ± √((1 - cos(7π/8))/(1 + cos(7π/8)))
tan(7π/8) = ± 5.02733°
Hence, the exact values for angles sine, cosine and tangent are
sin((7π/8)/2) = ±0.98078°
cos((7π/8)/2) = ±0.19509°
tan(7π/8) = ± 5.02733°
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In three days Tina sold 15 boxes. On the second day, she sold 1 more than on the first. On the third day, she sold 5 more than on the first. How many boxes did she sell on the third day?
Answer:
Step-by-step explanation:
15 divded by 3 is 5 one 5 is 2 second 6 third 7
Question:
In three days Tina sold 15 boxes. On the second day, she sold 1 more than on the first. On the third day, she sold 5 more than on the first. How many boxes did she sell on the third day?
Answer:
8. Tina sold eight boxes on the third day.
Step-by-step explanation:
Three days, 15 boxes.
On the first day, Tina sold 3 boxes.
On the second, she sold one more than on the first. (4)
On the third day, she sold five more than on the first. (8)
3 + 4 = 7
7 + 8 = 15
So your answer would be:
Tina sold eight boxes on the third day.
Calculate the area of the figure below using the following information:
Area of triangle ABC = 7.95 square units
Area of triangle ACD = 9.8 square units
Area of triangle AED = 8.75 square units
Image of irregular pentagon with vertices points A, B, C, D, and E starting at upper left moving clockwise. Two dotted diagonal lines, one connecting vertices A and C, and the second connecting vertices A and D.
The area of figure ABCDE is 26.5 square units.
What is a Triangle?Three angles, three sides, and three vertices make up the closed shape of a triangle. It is one of the most fundamental geometric shapes, and the symbol for it is.
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape
Given:
Area of triangle ABC = 7.95 square units
Area of triangle ACD = 9.8 square units
Area of triangle AED = 8.75 square units
To calculate the area of the figure we have to add the area of the individual triangles together.
So, Area of figure ABCDE
= Area of triangle ABC + Area of triangle ACD + Area of triangle AED
= 7.95 + 9.8 + 8.75
= 26.5 square units
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You are the basketball team captain and T-shirts are to be ordered for your season. T-shirts with a number on the back cost $12. T-shirts with a name and number cost $16. You have $240 to spend on T-shirts for the team.
The equation 12x + 16y = 240 models the total cost, where x is t-shirts with a number on the back and y is t-shirts with a name and number on the back.
There are 12 members of the team who want their names and numbers on the back of their T-shirts. How many members will order a T-shirt with just their number on the back?
Answer:
20 12cost and the the rest 16
Step-by-step explanation:
A zucchini plant in Darnell’s garden was 10 centimeters tall when it was first planted. Since then, it has grown approximately 0.5 centimeter per day.
a. Write a rule to describe the function.
b. After how many days will the zucchini plant be 18.5 centimeters tall?
A. h(d) = 0.5d + 10; 17 days
B. h(d) = 10d + 0.5; 1.1 days
C. h(d) = \(\frac{d}{0.5}\)+10; 4 days
D. h(d) = 0.5d; 37 days
Answer:
Let's start with part B. if it was originally 10 cm tall and it goes up 0.5 cm. each day, then we know that to go up one cm it needs two days. With that information we can say that 8*2 = 16. So it needs 17 days to go up 8.5 cm which would make it 18.5 cm tall.
Step-by-step explanation:
f(x) = 0.5x + 10
0.5x + 10 = 18.5
0.5x = 18.5 - 10
0.5x = 8.5
x = 8.5/0.5
x = 17 days
john and jane go rock-climbing together. john climbs a height of $(x 5)$ miles in $(x-1)$ hours and jane climbs a height of $(x 11)$ miles in $(x 1)$ hours. if john and jane were climbing at the same speed, what must have been their speed, in miles per hour?
Given that John climbs a height of \($(x + 5)$\) miles in \($(x - 1)$\) hours and Jane climbs a height of \($(x + 11)$\) miles in \($(x + 1)$\) hours. We know that the distance covered by both John and Jane are equal.
Distance covered by John = Distance covered by Jane
Therefore, \($(x + 5) = (x + 11)$\)
Thus, x = 6
Now, we need to find the speed of both, which is given by the formulae:
Speed = Distance / Time
So, speed of John = \($(x + 5) / (x - 1)$\) Speed of John =\($11 / 5$\) mph
Similarly, speed of Jane = \($(x + 11) / (x + 1)$\)
Speed of Jane = \($17 / 7$\) mph
Since both have to be equal, Speed of John = Speed of Jane Therefore,
\($(x + 5) / (x - 1) = (x + 11) / (x + 1)$\)
Solving this equation we get ,x = 2Speed of John = \($7 / 3$\) mph
Speed of Jane = \($7 / 3$\) mph
Thus, their speed was \($7 / 3$\) mph.
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Mia is a competitive dart player. The graph below is a record of Mia's last three darts, where (0,0)(0,0)left parenthesis, 0, comma, 0, right parenthesis is the center of the bullseye. 3 points on a coordinate plane. The point labeled, "Dart A," is at -3, -6. The point labeled, "Dart B," is at -7, 0. The point labeled, "Dart C," is at 5, -5. Graph units are in centimeters. What is the distance of Mia's farthest dart from the center of the bullseye? Round the final answer to the nearest tenth of a centimeter. Do not round intermediate calculations.
Answer:
7.1 cm
Step-by-step explanation:
Answer:
7.07 cm
Step-by-step explanation:
anne can make 4 pizzas or 6 salads in an hour. bob can make 10 pizzas or 8 salads in an hour. which of the following is incorrect
Answer:I would think bobs thing..
Step-by-step explanation:
no one can make that many pizzas.
The surface area of a cylinder is approximately 640.56 square meters. The radius of the cylinder is 5 meters less than the height of the cylinder. To the nearest whole meter, what are the radius and height of the cylinder?
the radius is approximately 6 meters,
height is approximately 11 meters
The radius of cylinder = 6 meter.
The height of cylinder = 11 meter.
What is cylinder?A cylinder is a "three-dimensional object with two round flat bases and one curved side. It has a curved surface in the middle. The base and the top surface are identical".
According to the question,
Surface area of the cylinder = 640.56 m²
Let the height of the cylinder = x meters
Let the radius of the cylinder = (x-5)meters
Formula for surface area of cylinder = 2πrh ( where 'r' is the radius of the cylinder and 'h' height of the cylinder)
640.56 = 2(3.14)(x-5)(x)
640.56/(6.28) = x² - 5x
x² - 5x =102
x² - 5x - 102 =0
using quadratic equation, [-b±√(b² - 4ac)]/2a.
b = -5; a=1; c=102
x =[-(-5) ±√(-5)² - 4(1)(102)]/2
= [5 ± √433]/2
x = 11 and -7
since x=-7 neglect negative value, we get x=11.
The height of the cylinder is 11 meters
The radius of the cylinder is (11 - 5) = 6 meters.
Hence, The radius of cylinder = 6 meter.
The height of cylinder = 11 meter.
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you can take out a $150,000, 30 year mortgage at a rate of 4.2% compounded monthly. your brother can take out a $150,000 30 year mortgage at a rate of 7.4% compounded monthly. how much more per month would your brothers payment be?
Your brother's monthly payment would be approximately $367.74 more than yours.
To calculate the monthly payment for a mortgage, we can use the formula:
M = P * (r * (1 + r)^n) / ((1 + r)^n - 1),
where M is the monthly payment, P is the principal (loan amount), r is the monthly interest rate, and n is the total number of payments.
For your mortgage:
Principal (P): $150,000
Interest rate (r): 4.2% per year, compounded monthly (0.042/12 = 0.0035 monthly)
Total number of payments (n): 30 years * 12 months/year = 360 payments
Using the formula, we can calculate your monthly payment:
M = 150,000 * (0.0035 * (1 + 0.0035)^360) / ((1 + 0.0035)^360 - 1)
≈ $741.39
For your brother's mortgage:
Principal (P): $150,000
Interest rate (r): 7.4% per year, compounded monthly (0.074/12 = 0.00617 monthly)
Total number of payments (n): 30 years * 12 months/year = 360 payments
Using the formula, we can calculate your brother's monthly payment:
M = 150,000 * (0.00617 * (1 + 0.00617)^360) / ((1 + 0.00617)^360 - 1)
≈ $1,109.13
Therefore, your brother's monthly payment would be approximately $367.74 more than yours.
Based on the given information, your brother would have a higher monthly mortgage payment compared to yours. The difference in payments is mainly due to the difference in interest rates. Your brother's mortgage has a higher interest rate of 7.4% compared to your mortgage's rate of 4.2%. This highlights the impact of interest rates on monthly mortgage payments. It is essential to consider the interest rate when choosing a mortgage as it significantly affects the affordability and overall cost of the loan.
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How do I do this it’s very confusing
The difference in the measures of the two angles is 90 - 84 = 6 °
what is theorem of complementary angles?Theorem of Complementary Angles states that two angles are complementary if the sum of their measures is equal to 90°.
This question can be solved using the theorem of complementary angles, which states that if two angles add up to 90°, then they are complementary angles.
1. Since <A is a right angle, m<A = 90°
2. To find the measure of angle B, solve the equation 9x - 24 = 90.
3. 9x = 114, so x = 12.5.
4. Therefore, m<B = 9x - 24 = 108 - 24 = 84.
5. The difference in the measures of the two angles is 90 - 84 = 6°
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An analysis of variance is used to evaluate the mean differences for a research study comparing four conditions with a separate sample of n = 8 in each condition. If the data produce an F-ratio of F = 4.60, which of the following is the correct statistical decision?
a. There is not enough information to make a statistical decision.
b. reject the null hypothesis with either α = .05 or α = .01
c. reject the null hypothesis with α = .05 but not with α = .01
d. fail to reject the null hypothesis with either α = .05 or α = .01
Therefore, the correct statistical decision is (b) reject the null hypothesis with either α = .05 or α = .01.
To determine the correct statistical decision, we need to compare the calculated F-ratio to the critical F-value based on the degrees of freedom and the chosen alpha level (α).
The degrees of freedom for the numerator (df between) is k - 1, where k is the number of conditions (k = 4 in this case). The degrees of freedom for the denominator (df within) is N - k, where N is the total sample size (N = 8 * 4 = 32).
Using a significance level of α = .05, we can consult an F-table or use statistical software to find the critical F-value with (k-1) and (N-k) degrees of freedom. For this case, the critical F-value is 3.10.
Since the calculated F-ratio (F = 4.60) is greater than the critical F-value (3.10) at α = .05, we can reject the null hypothesis and conclude that there are statistically significant mean differences among the four conditions.
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anyone know the answer ???
solve the following higher order linear ODE:
exercise 2.5.3: find a particular solution of y 00 − 4y 0 4y = e 2x
The general solution for the given higher-order linear ODE is:
y(x) = y_c(x) + y_p(x) = C1 * e^(2x) + C2 * x * e^(2x) + (1/2) * x^2 * e^(2x)
To solve the given higher-order linear ODE, we need to find a particular solution for the equation:
y'' - 4y' + 4y = e^(2x)
First, we find the complementary function (solution of the homogeneous equation) by solving the characteristic equation:
r^2 - 4r + 4 = 0
(r - 2)^2 = 0
The roots are r1 = r2 = 2. Therefore, the complementary function is:
y_c(x) = C1 * e^(2x) + C2 * x * e^(2x)
Next, we find a particular solution y_p(x) by using the method of undetermined coefficients. Since the right-hand side of the equation is e^(2x), we can assume a particular solution of the form:
y_p(x) = A * x^2 * e^(2x)
Taking the first and second derivatives of y_p(x):
y_p'(x) = A * (2x * e^(2x) + 4x^2 * e^(2x))
y_p''(x) = A * (2 * e^(2x) + 8x * e^(2x) + 8x^2 * e^(2x))
Now substitute y_p, y_p', and y_p'' back into the given ODE:
A*(2 * e^(2x) + 8x * e^(2x) + 8x^2 * e^(2x)) - 4A*(2x * e^(2x) + 4x^2 * e^(2x)) + 4A*x^2 * e^(2x) = e^(2x)
Simplify and cancel out the terms:
2A * e^(2x) = e^(2x)
A = 1/2
Now we have the particular solution:
y_p(x) = (1/2) * x^2 * e^(2x)
The general solution for the given higher-order linear ODE is:
y(x) = y_c(x) + y_p(x) = C1 * e^(2x) + C2 * x * e^(2x) + (1/2) * x^2 * e^(2x)
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what is 10639÷500 +22
The given expression is,
10639/500+22
According to
Sophia earned $480 in 32 hours. How many dollars did she earn per hour?
Sophia earne
dollars per hour.
Answer:
15 dollars an hour
Step-by-step explanation:
480/32=15
Answer:
Sophia Earned $15
Step-by-step explanation:
All you have to do is divide the amount she earned by the hours she worked to see how much money she earned per hour, then you get $15 dollars per hour.
Please help
Quick thank you :)
Answer:
Ray
Step-by-step explanation:
A ray has a starting point and then continues in one direction.
Gavin has an outstanding balance of $4620 on his credit card at the beginning of
May. The interest rate charged on the credit card is 21% p.a.
(a) Calculate the interest that Gavin is charged on the card for the month of May
if he makes no further payment on the amount outstanding.
Step-by-step explanation:
21/100 = 0.21 4620(0.21) = 970.2
PARA ENCONTRAR LA CANTIDAD QUE LE COBRAN POR MES
870.2/12 = $80.85
Which of the following acids contain equal numbers of atoms?
A Sulfuric Acid H2SO4
B Phosphoric Acid H3PO4
C Vinegar C2H3O2
D Boric Acid H3BO3
Which of the following acids contain equal numbers of atoms?
A Sulfuric Acid H2SO4
B Phosphoric Acid H3PO4
C Vinegar C2H3O2
D Boric Acid H3BO3
A, C and D
A, B and C
A and B
B and D
Sulfhuric acid, boric acid and vinegar have 7 atoms present in them
Equivalent Number of Atoms
To find the compounds with equal number of atoms, we must take each individual atoms and find how many atoms are present in them.
In the first compound, we have sulfuric acid.
\(H_2SO_4 = 7 atoms\\\)
Second compound, we have phosphoric acid
\(H_3PO_4 = 8 atoms\)
Third compound, we have vinegar
\(C_2H_3O_2 = 7 atoms\)
Fourth compound, we have boric acid
\(H_3BO_3 = 7 atoms\)
From the above, only sulfuric acid, vinegar and boric acid have equal number of atoms present in them.
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Will give brainliest!!
-12x = -48
A. 576
B. 4 (my guess)
C. -4
D. 1/4
Answer:
x = 4
Step-by-step explanation:
−12=−48
-12x=-48−12x=−48
−12−12=−48−12
x = 4
can someone please help me with these two
Answer:
1)
x=8 degrees
<B=70 degrees
2)
<MON=57 degrees
Step-by-step explanation:
Detailed ans is in attachment
hope it helps :)
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