We have the following:
\(\begin{gathered} 7-y=5x+11 \\ \end{gathered}\)ordering, we have:
\(\begin{gathered} -7+y=-5x-11 \\ y=-5x-11+7 \\ y=-5x-4 \end{gathered}\)Therefore, the equation is linear, since x is in the first level
Why might young adults,in particular,value credit in case of emergency
Young adults might value credit in case of an emergency for several reasons. Firstly, credit provides financial flexibility, allowing them to access funds quickly when unexpected expenses arise.
This can be essential for covering costs related to medical emergencies, car repairs, or other unforeseen events that may strain their limited savings. Secondly, young adults often have less established financial safety nets than older individuals. They may not have significant savings, insurance policies, or support from family members to fall back on during emergencies. Credit, in this case, acts as a temporary financial cushion, enabling them to manage immediate needs without resorting to high-interest loans or further jeopardizing their financial stability.
Thirdly, responsible use of credit can help young adults build a positive credit history. Demonstrating responsible borrowing and repayment habits will make it easier for them to access more favorable credit terms in the future, such as lower interest rates or higher credit limits. This can prove valuable when making significant purchases, like buying a home or financing higher education.
Lastly, having access to credit can also provide young adults with a sense of financial independence and empowerment. Knowing they have the means to handle emergencies without relying on others can boost their confidence in managing personal finances and help them make more informed financial decisions as they navigate adulthood.
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A polygon with an area of 10 square inches is dilated by a scale factor of 4, what is the new area?
The new area would be 40 square inches. When a scale factor dilates a polygon, the area is multiplied by the square of the scale factor. If the original area is 10 square inches and the scale factor is 4, the new area would be 10 x 4^2 = 10 x 16 = 40 square inches.
plz plz i need help i dont know
Answer:
0,3
Step-by-step explanation:
Q1. An industry analyst wants to compare the average salaries of two firms, both to each other and to the industry. Firm A's average salary is 93% of the industry average, Firm B's average salary is $58,000, and the industry average salary is 96% of Firm B's average salary. a. Determine the industry average salary. b. Determine Firm A's average salary. c. Express Firm B's average salary as a percentage of Firm A's average salary. Round the percentage to two decimals.
a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.
a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:
Industry Average Salary = 96% of Firm B's Average Salary
= 0.96 * $58,000
= $55,680
b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:
Firm A's Average Salary = 93% of Industry Average Salary
= 0.93 * $55,680
= $51,718.40
c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:
Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100
= ($58,000 / $51,718.40) * 100
≈ 112.27%
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I need help fast please!
The time it takes to cover the distance between two cities by car varies inversely with the speed of the car.
The trip takes 7 hours for a car moving at 36 mph.
What is the speed of a car that makes the trip in 9 hours?
Answer:
28 mph
Step-by-step explanation:
Given that a car moving 36 mph takes 7 hours for a trip, you want to know the speed if the trip takes 9 hours.
Time and SpeedThe speed and time vary inversely for the same distance. If the time goes up by a factor of 9/7, the speed will go down by the inverse factor: 7/9.
7/9 × 36 mph = 28 mph
The speed of the car is 28 mph for the 9-hour trip.
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Solve the inequation x - 12 ≤ 3 - 2x and graph its solution.
Let's do these one-by-one.
The solution to x - 12 ≤ 3 - 2x is:
Answer:
Step-by-step explanation:
x - 12 ≤ 3 - 2x
3x ≤ 15
x ≤ 5
To graph this, just draw a VERTICAL line passing through x = 5, then shade the area to the LEFT
HELP HELP HELP IM IN DANGER PLZ HELP ME ANSWER THIS!!! I HAVE TWO QUESTIONS!!!
Answer:
For the first question the answer is .75 metres for each present.
For the second question the answer is 1/3 of a cup for each cupcake.
Step-by-step explanation:
1) 6/8
2) if it takes 3 cups of flour for 9 cupcakes, then it takes 1 cup for 3 cupcakes, and therefor 1/3 of a cup for each cupcake. 3/9
Answer:
1. .75 meters for each present
2. 1/3 of a cup
Step-by-step explanation:
I'm not sure.... I hope this helps!!!!!
I WILL GIVE BRAINLIEST TO WHOMEVER ANWRS
Answer:
8000
Step-by-step explanation:
Answer:
994
Step-by-step explanation:
We have the expression:
\((8+t)^3-6\)
And we want to evaluate it when t=2.
Hence, we will substitute 2 for t and evaluate. Therefore:
\(=(8+2)^3-6 \\\\ =(10)^3-6\\ \\ =1000-6\\\\=994\)
Therefore, our final answer is 994.
Find the vertex of the graphed function. f(x) = [x - 4] + 3
The vertex of the graphed function f(x) = [x - 4] + 3 is (4, 3).
The function f(x) = [x - 4] + 3 is in the form of an absolute value function, where the expression inside the absolute value brackets represents the input value shifted horizontally by 4 units to the right.
The constant term of 3 represents a vertical shift upwards by 3 units.
To find the vertex of this function, we need to determine the x-coordinate that corresponds to the minimum value of the absolute value function.
In this case, since the absolute value function is within brackets and not being multiplied or divided by a coefficient, the minimum value occurs at the point where the expression inside the brackets equals zero.
Therefore, setting x - 4 = 0, we find x = 4.
Substituting this x-value into the function, we find f(4) = [4 - 4] + 3 = 3. So the vertex of the graphed function is located at the point (4, 3), where x = 4 and y = 3. This means that the graph is shifted 4 units to the right and 3 units upward from the origin.
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art sculpture composed of 3,880 craft sticks and 960 pieces of balsa wood. What is the ratio of craft sticks to balsa wood?
Answer:
3880 ÷ 960 = 4.041
ratio = 4:1
You are reducing a map of dimensions 24 in. by 36 in. to fit onto a piece of paper 8 in. by 10 in. What are the dimensions of the largest possible map that can fit on the page?
We have
scale factor
\(\frac{24}{36}=\frac{2}{3}\)The largest side 10 in
Then we need to obtain the shortest side
\(\frac{2}{3}=\frac{x}{10}\)\(x=\frac{2\cdot10}{3}=\frac{20}{3}=6\frac{2}{3}\)Therefore the dimensions of the largest possible map are
6 2/3 in by 10 in
A store sells two types of cleaning solutions. Brand X has 4 mL of white vinegar for
every 20 mL of water. Brand Y has 5 mL of white vinegar for every 30 mL of water
Which mixture has a higher concentration of vinegar?
Answer:
Brand X
Step-by-step explanation:
Brand X has 4mL of vinegar for every 20mL of water:
We can put this as 4/20=1/5=20%
Brand Y has 5mL of vinegar for every 30mL of water
We can put this as 5/30=1/6=16.6%
A store receives a shipment of 320 skateboard wheels. After 3 days, 272 of the skateboard wheels are left. After 7 days, 208 skateboard wheels are left.
a. Write an equation that represents the number y of skateboard wheels remaining after x days.
b. Use the linear equation to predict how many skateboard wheels will be left after 11 days.
c. After how many days should the store plan to receive a new shipment of skateboard wheels so they do not run out?
d. What does the slope of the equation represent? What does the y-intercept represent?
Answer:
\(y=-16x+320\)
144
20 days
Change of the number of skateboards with respect to the change of days.
y intercept represents the total stock of the skateboard wheels.
Step-by-step explanation:
The points on the plane are \((3,272)\) and \((7,208)\).
Slope is given by
\(m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{208-272}{7-3}\\\Rightarrow m=-16\)
The equation of the line will be
\(y-y_1=m(x-x_1)\\\Rightarrow y-272=-16(x-3)\\\Rightarrow y-272=-16x+48\\\Rightarrow y=-16x+320\)
The equation that represents the situation is \(y=-16x+320\)
When the number of days is 11 we have \(x=11\)
\(y=-16\times 11+320\\\Rightarrow y=144\)
The number of wheels left after 11 day is 144.
When the shipment will run out \(y=0\)
\(0=-16x+320\\\Rightarrow x=\dfrac{320}{16}\\\Rightarrow x=20\)
So, after 20 days the shipment will run out.
The slope represents the change of the number of skateboards with respect to the change of days.
The y intercept represents the total stock of the skateboard wheels.
a cylindrical tube open at both ends is made of metal. the inner diameter of tube is 5.8 cm and length is 1120cm. calculate the volume of the metal if it 2mm thick every where
Answer:
4222.85cm³
Step-by-step explanation:
Inner diameter of the tube = 5.8cm, radius = 2.9cm
length = 1120cm
Thickness everywhere = 2mm = 0.2cm
Unknown:
Volume of the metal = ?
Solution:
To solve this, use the expression below;
Volume = \(\pi( R^{2} - r^{2} ) h\)
R is the outer radius = 2.9 + 0.2 = 3.1cm
r is the inner radius = 2.9cm
h is the length
input the parameters and solve;
Volume = 3.142 (3.1² - 2.9²)1120
= 3.142 x 1.2 x 1120
= 4222.85cm³
PLEASE HELP ITS DUE SOON!!!!
a sine function has an amplitude of 6, a period of pi, and a phase shift of pi/4 . what is the y intercept of the function?
y intercept will be 0,-6 .
Given,
Amplitude = 6
Time period = pi
Phase shift = pi/4
In trigonometry, the sine function can be defined as the ratio of the length of the opposite side(perpendicular) to that of the hypotenuse in a right-angled triangle.
The sine function is used to find the unknown angle or sides of a right angled triangle.
Mathematically,
sinФ = p/h
Now ,
Let us assume the phase shift to be on right side.
So the graph will be at negative y axis.
Thus the points will be 0 , -6 .
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Please help the directions are at the top. You have to solve the problems to break the code
how
how you get 800 in 8000000 to 87777
What is the area of
the segment? Express
the answer in terms
of pi.
The area of the segment is 9( π-2) units²
What is area of segment?The area of a figure is the number of unit squares that cover the surface of a closed figure.
A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.
Area of segment = area of sector - area of triangle
area of sector = 90/360 × πr²
= 1/4 × π × 36
= 9π
area of triangle = 1/2bh
= 1/2 × 6²
= 18
area of segment = 9π -18
= 9( π -2) units²
therefore the area of the segment is 9(π-2) units²
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Write six hundred fifty six as a base ten number
Answer:
isn't 656 already a base-ten number?
Step-by-step explanation:
i'm confused (。_。)
a computer can perform 4.66 x 10^8 calculations per second. how many calculations can this computer form in one minute?
Answer:
multiply those to and divided by 60
Step-by-step explanation:
plz help me with this??!
Step-by-step explanation:
–5/6 + 7/5 = –25/30 + 42/30
= 17/30
That ratio of the risk premium to the standard deviation of the excess returns is known as the reward-to-volatility or the _ ratio.
Answer:
Sharpe Ratio?
if you looking for a name for your definition, thats it
good luck!
The amounts of vitamin C (in milligrams) for 100g (3.57 ounces) of various randomly selected fruits and vegetables are listed. Is there sufficient evidence to conclude that the standard deviation differs from 12 mg? Use alpha = 0.10. Use a graphing calculator
Answer:
The values are missing in the question. They are : 16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2
Step-by-step explanation:
16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2
We calculate sample mean and std deviation from given data.
Sample Mean, \($ {\overset{-}X} =\frac{\Sigma (X)}{n} $\) =269.8/10=26.98
Sample Variance, \($s^2= \frac{\Sigma(X-{\overset{-}X})^2}{(n-1)}$\) =1859.496/9=206.610667
Sample std dev,s=\($\sqrt{s^2}$\)=√206.610667≈14.373958
We want to test two tailed hypothesis:
\($H_0$\) : σ=12
\($H_2$\) : σ≠12
Given: s=14.373958⇒ \($s^2$\) =206.610667,n=10
Significance level, a=0.1 Degrees of freedom, df=n-1=9
Since this is two tailed test, we need area of α=0.1 on either side of critical value. This means area of 0.05 on right of positive critical value.
Critical values are given by \($ X_{1-\alpha/2}^2 =X_{0.95}^2 \text{ and}\ X_{1-\alpha/2}^2 =X_{0.95}^2 $\) with 9 degrees of freedom.
We can use chi-square table or following excel commands:
CHISQ. INV(0.95,9)=3.32511284307
CHISQ. INV (0.05,9)=16.9189776046
Critical Values, \($X_L^2$\)=3.325 and \($X_R^2$\)=16.919
Since this is two tailed test, the decision rule or rejection criteria is:
Reject null hypothesis if test statistic is less than or equal to left critical value OR more than or equal to right critical value, i.e,
Reject \($H_0$\) if \($x^2$\)≤3.325 OR \($x^2$\)≥16.919
Test statistic is given by \($X^2=\frac{(n-1)s^2}{\sigma^2}$\) =((9)*206.610667)/144=12.913167
Test statistic, \($x^2$\)=12.913
since test statistic is between two critical values, we (do not reject \($H_0$\)) (i.e, we fail to reject \($H_0$\).
Conclusion: There is (not sufficient) evidence to conclude that standard deviation is not equal to 12 .
Alternatively, we can use p-value approach. The decision rule or rejection criteria is: reject null hypothesis if p-value is less than or equal to significance level (α), i.e, reject \($H_0$\) if p-value ≤0.1
P-value is twice the (smaller) tail area of test statistic because this is two tailed test. We can use excel function to find this. 2*M IN (CHISQ.DIST (12.913167,9, TRUE ) 1-CHISQ.DIST 12.913167,9, TRUE ) =0.333149809868
P-value =0.3331
since p-value is greater than significance level (α),we (do not reject \($H_0$\)) (i.e, we fail to reject \($H_0$\)).
Conclusion: There is (not sufficient) evidence to conclude that standard deviation is different from 12 .
14) 4.5a = 9.0
15) 4.8b = 36
Problem Solving Strategy: Write an Equation
Write an equation for each problem using the variable -n. Then solve and check the equation.
16) Allan has 84 baseball cards. This is 19 fewer cards than Mike. How many baseball cards does Mike have?
17) Jamie can ride her bike 3 times as fast as Michelle can jog. If Jamie rides her bike at a rate of 12 miles per hour, how fast can Michelle jog?
Problem Solving Strategy: Mental Math
Study each equation, then solve.
18) 5 + r = 6 - r
19) z - 16 = - 16
20) 7n - 7 = 0
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
Use the distributive property to write an expression that is equivalent to the expression 4(12 - 3x) + 6 for all values of x.
Answer:
-12x + 54
Step-by-step explanation:
Using the distributive property, distribute 4 to the terms in the parentheses:
4(12 - 3x) + 6
Multiply 12 and -3x by 4:
48 - 12x + 6
Add like terms:
-12x + 54
So, the answer is -12x + 54
9514 1404 393
Answer:
54 -12x
Step-by-step explanation:
The factor outside parentheses multiplies each term inside.
4(12 -3x) +6 = 4(12) +4(-3x) +6
= 48 -12x +6
= 54 -12x
Warning
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Question 1 (Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The heights of 11 plants, in inches, are listed.
14, 15, 16, 16, 17, 17, 17, 18, 18, 19, 22
If another plant with a height of 14 inches is added to the data, how would the range be impacted?
The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.
What is data?Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.
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Could somebody please help me with this Matrix and how to decode it? i've been struggling with these. I will mark brainest for the help! Please explain as well i'd appreciate it. I provided everything for the equation in the photo!
Answer:
Step-by-step explanation:
To decode the message, we take the string of coded numbers and multiply it by the inverse of the matrix to get the original string of numbers. Finally, by associating the numbers with their corresponding letters, we obtain the original message
You pick a marble, roll a die, and pick a card. How many outcomes are possible?
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
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parsnips were priced at 3 pounds for $1.23 what was the price per pound? how much would 10 pounds of parsnips cost?
Answer:
The answer is $4.10
Step-by-step explanation:
If 3 pounds = $1.23
1 pound =1.23/3
= 0.41
Therfore 10 pounds = 10× 0.41 = $4.10
Solve the formula for n.
A=P sqrt2+n
Answer:
n = (A/P)² - 2
Step-by-step explanation:
I will assume that you meant A=P sqrt(2+n).
Squaring both sides, we get A² = P²(2 + n), or
2 + n = (A/P)²
Then n = (A/P)² - 2