There can be multiple outputs (monthly charges) for a given input (number of credit cards), violating the definition of a function. hence, Situation 3 does not represent a function.
Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned does not represent a function.
In a function, each input (or x-value) should have a unique output (or y-value). However, in this situation, the total amount of money charged monthly on credit cards depends on the number of credit cards owned. It is possible to have different credit card numbers but still have the same total amount of money charged monthly.
For example, two people could own different numbers of credit cards but have the same monthly charges.
As a result, the definition of a function can be violated by having many outputs (monthly charges) for a single input (number of credit cards).
Because of this, case 3 does not represent a function.
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so far carmella has collected 14 boxes of baseball cards there are 31 cars n each box carmella estimates that she has about 3000 cards so she buys albums that hold 500 cards each
Answer:
Step-by-step explanation:
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 23.5 for a sample of size 775 and standard deviation 12.2. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:
\(22.6 < \mu < 24.4\)
How to obtain the confidence interval?The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:
\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)
Looking at the z-table, the critical value for a 95% confidence interval is given as follows:
z = 1.96.
The lower bound of the interval is then given as follows:
\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)
The upper bound of the interval is then given as follows:
\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)
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please help me its hard!
Answer:
600
Step-by-step explanation:
Consider ABC and ACD as two triangles. And AC as a base to both of them
so,
AC = AO + OC
= 15 + 25
= 40
Now the area of ABC =
\(\frac{1}{2}\times AC\times OB\\= \frac{1}{2}\times 40 \times 10\\= 200\)
In the same way, the area of ACD =
\(\frac{1}{2}\times AC\times OD\\= \frac{1}{2}\times 40 \times 20\\= 400\)
Both added together 400 + 200 = 600
Which of the following inequalities matches the graph?
A. -2x + 3y > 7
B. 2x - 3y < 7
C. -3x + 2y ≥ 7
D. 3x - 2y ≤ 7
Solve for n.
ples help me solv for n
Answer: 50 miles per hour
Step-by-step explanation: It is that because when the line passes on the one hour mark it is 50.
Steve's mom's age is 7 years less than 3 times Steve's ages.
Answer:
y = 3x + 7
(Not sure what the question was so, I just put it in slope intercept form)
Step-by-step explanation:
Let x be Steve's age.
Steve = x
Steve's Mom = y
Now let's create an equation:
y - 7 = 3x
y = 3x + 7
(Not sure what the question was so, I just put it in slope intercept form)
Please let me know if I misunderstood the question that way I can help you! <3
Answer:
Steve's mom is 65.
Step-by-step explanation:
Let s = Steve's age.
s + (3s - 7) = 65
4s - 7 = 65
4s = 72
s = 18
Check:
Steve is 18
His mom is (3 * 18) - 7 = 54 - 7 = 47
14 + 47 = 65
Yep.
18 + 47 = 65
Which inequality represents the situation described below?
The distance, d, is less than 200 miles.
A. d ≥ 200
B. d > 200
C. d ≤ 200
D. d < 200
Hello!
The distance, d, is less than 200 miles.
B. d > 200
IDENTIFYING
RADIUS & DIAMETER
Radius =
36 cm
Diameter =
Answer: 72 cm
Step-by-step explanation:
The diameter is twice the radius, in other words just multiply the radius by 2.
36*2= 72 (You could also just add 36 to itself). I hope this helps!
Can someone help me with 6-10. Directions: Find the volume of each figure. Round to the nearest hundredth when necessary.
The volumes of the right prism are, respectively:
Case 6: V = 703.72 mm³
Case 7: V = 57905.84 mm³
Case 8: V = 3744 ft²
Case 9: V = 475.20 mm³
The volume of the sphere is:
Case 10: V = 18816.57 cm³
How to determine the volume of a right prism
In this problem we find four cases of right prisms, whose volumes must be computed. This can be done with the help of following formulas:
Volume
V = A · h
Area formula - Rectangle
A = w · l
Area formula - Triangle
A = 0.5 · w · l
Area formula - Circle
A = π · r²
In addition, we need to determine the volume of a sphere:
V = (4π / 3) · r³
Where:
A - Base area of the right prism.h - Height of the right prism.w - Widthl - Heightr - RadiusNow we proceed to determine the volume for each case:
Case 6
V = π · (16 mm)² · (14 mm)
V = 703.72 mm³
Case 7
V = π · [(40 mm)² - (32 mm)²] · (32 mm)
V = 57905.84 mm³
Case 8
V = (12 ft) · (8 ft) · (39 ft)
V = 3744 ft²
Case 9
V = 0.5 · (11 mm) · (5.4 mm) · (16 mm)
V = 475.20 mm³
Case 10
V = (4π / 3) · (16.5 cm)³
V = 18816.57 cm³
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Austin pays $2 per day for high speed internet. The equation y = 2x relates his internet charges (y) to the number of days (x) he has internet. Identify the unit rate in the equation.
Answer:
The unit rate in the equation y = 2x is 2.
This means that the cost per day for Austin's high-speed internet is $2.
f(x) = x2. What is g(x)?
A. g(x) = 4x²
B. g(x) = (1/4x)²
C. g(x) = (1/2x)²
D. g(x) = 1/4x²
Answer:
B. g(x) = (1/4x)²
Step-by-step explanation:
g(x) experiences a horizontal stretch where 0<|a|<1
This means we can eliminate A because that would be a horizontal compression since |a|>1
B seems to work because (1/4(4))^2=1
C does not work because you'll get 2 as your y-value
D does not work because you'd be taking 1/4 of x^2 which would give you 4.
Can someone give me a hand ? I need this last question. It was incorrect.
Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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A woman deposits $300 in a savings account that pays 6% annually. If she withdraws all the money in the account after 120 days, how much does she withdraw (rounded to the nearest dollar)?
The woman will withdraw $300 given 6% interest rate annually.
We can use the formula for simple interest to solve this problem:
I = Prt
where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate as a decimal, and t is the time in years. Since the interest rate is given as an annual rate, we need to convert it to a daily rate by dividing by 365:
r = 0.06/365 = 0.00016438356
The time in years is 120/365 = 0.3287671233 years. Now we can plug in the values and solve for I:
I = 300 * 0.00016438356 * 0.3287671233 = 0.01699999999
The interest earned is $0.017, which is negligible. Therefore, the woman will withdraw the entire principal plus any interest earned, which is:
300 + 0.017 = $300.02
Rounding to the nearest dollar, the woman will withdraw $300.
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An automobile company is running a new television commercial in five cities with approximately the same population. The following table shows the number of times the commercial is run on TV in each city and the number of car sales (in hundreds). Find the linear regression line for the data given in the table. Round any intermediate calculations to no less than six decimal places, and round the coefficients to two decimal places.
Y=
The linear regression line is: Y = 0.51X - 14.05
What is the number?A number is a mathematical object used to count, measure, and label. It is a fundamental concept in mathematics and is used in nearly every branch of the discipline. In everyday life, the notion of numbers is used to count objects, keep track of scores, measure amounts, and label objects.
City TV Commercials Car Sales
A 60 20
B 50 15
C 70 25
D 45 17
E 55 19
Calculating the linear regression line:
m = Slope = (NΣXY - (ΣX)(ΣY)) / (NΣX2 - (ΣX)2)
= (5(1475) - (325)(95)) / (5(5850) - (325)2)
= (7375 - 30875) / (29250 - 105625)
= -38500 / -75375
= 0.51
b = Intercept = (ΣY - m(ΣX)) / N
= (95 - 0.51(325)) / 5
= (95 - 165.25) / 5
= -70.25 / 5
= -14.05
Therefore, the linear regression line is:
Y = 0.51X - 14.05.
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complete question:
An automobile company is running a new television commercial in five cities with approximately the same population. The following table shows the number of times
the commercials run on TV each day and the number of car sales in the hundreds. Finds the linear regression line for the data gen in the table Round any intermediate
calculations to no less than a decimal place, and round the coefficients to two decimal places.
A person invests $4,250 in an account that earns 5.25% interest compounded annually. let f(t) be the value in dollars of the account after t years. give an equation for f f(t)=______. what will be the value of the account after 5 years? round your answer to the nearest cent. $_______. after 10 years? round your answer to the nearest cent $______
Answer:
see the answers below
Step-by-step explanation:
Given data
P=$4,250
Rate= 5.25%
Time= t years
1. The compound interest expression is
A=4250(1+0.0525)^t
A=4250(1.0525)^t
2. P=$4,250
Rate= 5.25%
Time= 5 years
1. The compound interest expression is
A=4250(1+0.0525)^5
A=4250(1.0525)^5
A=4250*1.2915
A=$5488.875
3. P=$4,250
Rate= 5.25%
Time= 10years
1. The compound interest expression is
A=4250(1+0.0525)^10
A=4250(1.0525)^10
A=4250*1.6680
A=$7089
Cameron makes a quilt design using four congruent triangles as shown below. What is the perimeter of the entire design?
Answer: 64cm
Step-by-step explanation:
Answer:
B. 64cm
Step-by-step explanation:
Shayla and Carlos each have a bag that contains five green marbles five red marbles and 10 yellow marbles the marvels are all the same size and shape which expression represents the probability that Shayla will select two red marbles
The probability that Shayla will select two red marbles from the bag is 1/16.
What is the probability?Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that Shayla will select two red marbles = (number of red marbles / total number of marbles) x (number of red marbles / total number of marbles)
5/20 x 5/20 = 1/16
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Hugo averages 72 words per minute on a typing test with a standard deviation of 7 words per minute. Suppose Hugo's words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then, X∼N(72,7). Suppose Hugo types 80 words per minute in a typing test on Wednesday. The z-score when x=80 is ________. This z-score tells you that x=80 is ________ standard deviations to the ________ (right/left) of the mean, ________. Correctly fill in the blanks in the statement above. Select the correct answer below:
Answer:
i don't know
Step-by-step explanation:
good luck bro
(alright I'm just here for the points so yeah bye)
what is the area of the triangle? (-5,6) (1,3) (-5,3)
Aleks initial knowledge check
pls help
The area of the triangle is given as follows:
9.3 units².
How to obtain the area of a triangle?The area of a triangle is obtained multiplying the triangle's base by the triangle's height and dividing by 2, that is:
A = bh/2.
Considering segment (-5,3) to (-5,6) as the base, the base length is given as follows:
b = 6 - 3 = 3.
The midpoint of the base segment is given as follows:
(-5,4.5).
The height is given by the distance between the third vertex and the midpoint, hence:
h = sqrt[(-5 - 1)² + (4.5-3)²]
h = 6.2.
Hence the area is of:
A = 0.5 x 6.2 x 3
A = 9.3 units².
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Find the values of x and y using the given chord, secant , and tangent lengths.x=y=
Let's find the values of x and y.
Take the following steps:
Step 1:
Apply the equation below to find x
\(x^2=2(2+10)\)Let's solve for x.
Apply distributive property:
\(\begin{gathered} x^2=2(2)+2(10) \\ \\ x^2=4+20 \\ \\ x^2=24 \\ \\ \text{Take the square root of both sides:} \\ \sqrt[]{x^2}=\sqrt[]{24} \\ \\ x=4.9 \end{gathered}\)Step 2:
Apply the equation below to find the value of y
\(x^2=4(4+y)\)Substitute 24 for x² and find the value y:
\(\begin{gathered} 24=4(4+y)^{} \\ \\ 24=4(4)+4(y) \\ \\ 24=16+4y \\ \\ \text{Subtract 16 from both sides:} \\ 24-16=16-16+4y \\ \\ 8=4y \end{gathered}\)Divide both sides by 4:
\(\begin{gathered} \frac{8}{4}=\frac{4y}{4} \\ \\ 2=y \\ \\ y=2 \end{gathered}\)Therefore, we have:
x = 4.9
y = 2
ANSWER:
x = 4.9
solve for z. 2z+2=10 z=
Answer:
z = 4
Step-by-step explanation:
2z+2=10
To solve for z, subtract 2 from each side.
2z+2-2=10-2
2z=8
Divide each side by 2
2z/2 = 8/2
z = 4
Solve the quadratic equation: 3x^2-2=25
The question is given as :
\(3x^2-2=25\)collect like terms as;
\(3x^2=25+2\)\(3x^2=27\)Divide both sides by 3 as
\(x^2=\frac{27}{3}\)\(\begin{gathered} x=\sqrt[\square]{9} \\ \end{gathered}\)\(x=3\)PLEASE HELP<33333
(A): describe in words a sequence of transformation that maps ABC to A”B”C (hint, there are two different transformations.
(B): Write an ordered pair rule for each transformation in the sequences.
one negative two and then shifted to the rights, that's the translation to the right two units.
What is the sequence of transformation?
A certain order of transformational occurrences is referred to as a transformational sequence. This indicates that more than one transformation is handled by a series of transformations, and the order in which they happen is important.its a 180 Degree Rotation.
And let's see With a 180 degree rotation.
, we can say coordinates is that X. Y. Two negative X. Negative Y.
It goes to one negative two and he goes to two negative five And c goes to 5 -2.
So if one negative two and then shifted to the rights, that's the translation to the right two units.
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Find the area of the rectangle 3m 2m 3m 2m
Answer:
6m
Step-by-step explanation:
A = L(W)
3 x 2 = 6
john ate 40% of the candies in the bag. If John ate 20 candies, how many candies were there total in the bag?
Answer:
50 candies
Step-by-step explanation:
20/whole = 40%/100%
you divide 40 by 2 to get 20
so you will do the same with the 100
100 divided by 2 is 50
Therefore, your answer is 50 candies
hope this helped :))
The diameter of a circle is 38 meters. What is the circle's area?
D=38m
Answer:
Diameter- 60.42^2
Find the value of x and y in which each quadrilateral mist be a parallelogram.
Recall the property of parallelograms that tell us that the diagonals intercept producing equal segments in each of them. Then, as the diagonals intercept in the midpoint of each diagonal, then we can create the following equations and solve them one at a time (making the measure of one segment equal the value on the other half of the diagonal):
5 y - 4 = 36 then we solve here for y
add 4 to both sides
5 y = 36 + 4
5 y = 40
divide both sides by 5
y = 40 / 5
y = 8
Now the second equation:
4 x - 10 = 18
add 10 on both sides
4 x = 28
divide both sides by 4 to isolate x
x = 28 / 4
x = 7
Determine if each equation represents a linear or nonlinear function. (ignore my original answers)
The given equations are 1. Linear. 2. Non linear. 3. Non Linear. 4. Non Linear. 5. Non linear. 6. Linear.
What is linear and non linear equation?A linear equation is one in which the highest degree of any component is one. Alternately, we can state that a linear equation in one variable is one that contains just one variable. When the result of a linear equation is drawn on a graph, it makes a straight line.
A nonlinear equation is one in which the highest degree of any component is two or greater.
The given equations are
1. \($ \rm 2y-{\frac{x}{3}}\,=\,0$\) is Linear as the highest degree is 1
2. \($ \rm 4-y=\left({\frac{1}{2}}\right)^{x}$\)is Non linear as the highest degree is x
3. \($ \rm {\sqrt{5}}x-{\sqrt{2}}y=x+y$\) is Non linear as the square root over x is used.
4. \($\rm {\sqrt{x}}+y=3^{4}x$\) is Non linear as the square root over x is used.
5. \($\rm (x-1)^{2}+4y=1$\) is Non Linear as the highest degree is more than 1
6. \($ \rm 5\left(2x-3y\right)-x=y$\) is Linear as the highest degree is 1
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1/5 times 3/10
Thank you
Answer:
\( \frac{3}{50} \)
Step-by-step explanation:
\( \frac{1}{5} \times \frac{3}{10} \)
➡️ \( \frac{1 \times 3}{5 \times 10} \)
➡️ \( = \frac{3}{50} \) ✅