Which of the following is an example of a conditional statement?
Answer:
The correct answer is A, If I practice football, then I will improve.
The points (-2, 11) and (6, 3) lie on the same line.
What is the x-intercept of the line?
Answer:
Step-by-step explanation:
Explain what operation can be used to solve the equation 3.5n=10.5. What is the value of n
Answer:
see below
Step-by-step explanation:
3.5n=10.5
Divide each side by 3.5 to isolate n
3.5n /3.5 = 10.5/3.5
n =3
Find the value of x in the figure below. Assume that the lines are parallel
A= 45
B=120
C=30
D=90
E=25
How many sugar
packets do you think
are inside a 20 oz bottle
of soda?
Answer:
The answer is 17 packets
Answer:
17 or 17.25
Step-by-step explanation:
20 oz is 69 grams divided by 4 and its 17
the mean of four numbers is 12 and the mean of another six numbers is 22 what is the mean of all ten numbers?
To find the mean of a set of numbers, you need to add up all the numbers and then divide by the number of numbers in the set.
In this case, the mean of the four numbers is 12, which means the sum of those four numbers is 4 × 12 = 48. The mean of the other six numbers is 22, which means the sum of those six numbers is 6 × 22 = 132. The sum of all ten numbers is therefore 48 + 132 = 180.
To find the mean of all ten numbers, we need to divide the sum by the number of numbers, which is \(\frac{180}{10}\) = 18. Therefore, the mean of all ten numbers is 18.
Evaluate each expression for a= -2, b = -4.1, and c=5.
1) a - b + c
2) -c + b - a
3) -a + ( -c)
Answers:
1) 7.1
2) -7.1
3) -3
Plug in the numbers
Wilson Montgomery was curious about the difference between a simple discount note and a simple interest note. He is considering taking out one or the other. Let him know which one he should take out based on proceeds and effective rate. Both have the same terms: $5,500 at 6% for 18 months. Round to the nearest tenth.
What is the answer to this question?
Based on the proceeds and effective rate, Wilson should take out the simple discount note, which has a higher proceeds of $5,005 and a higher effective rate of 9.9% compared to the simple interest note's proceeds of $5,995 and effective rate of 9.0%.
How to take out based on proceeds and effective rate?To compare the simple discount note and the simple interest note, we can calculate the proceeds and effective rates for each.
For the simple discount note, the interest is deducted upfront and the borrower receives the difference, or the proceeds. The interest on a $5,500 note at 6% for 18 months can be calculated as:
Interest = Principal × Rate × Time
Interest = $5,500 × 6% × 1.5 years
Interest = $495
The proceeds for the simple discount note can be calculated as:
Proceeds = Principal - Interest
Proceeds = $5,500 - $495
Proceeds = $5,005
The effective rate for the simple discount note can be calculated using the formula:
Effective Rate = Interest / Proceeds × 100%
Effective Rate = $495 / $5,005 × 100%
Effective Rate = 9.9%
For the simple interest note, the interest is calculated on the principal amount and added to the principal at the end of the term. The interest on a $5,500 note at 6% for 18 months can be calculated as:
Interest = Principal × Rate × Time
Interest = $5,500 × 6% × 1.5 years
Interest = $495
The total amount due at the end of the term for the simple interest note can be calculated as:
Total Due = Principal + Interest
Total Due = $5,500 + $495
Total Due = $5,995
The effective rate for the simple interest note can be calculated using the formula:
Effective Rate = Interest / Principal × 100%
Effective Rate = $495 / $5,500 × 100%
Effective Rate = 9.0%
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Two families buy large sandwiches of the same size. Family A shares one sandwich equally among 4 people. family B shares one sandwich equally among 2 people. Will a person from Family A get the same amount or a different amount of a sandwich as a person from family B?
there's a drawing of 4 squares to represent the 4 ppl
Answer:
Different Amount
Step-by-step explanation:
4 is more than 2 and there would need to be 2 sandwiches in family a in order for them to be equal
one side of a rectangle is 12 feet shorter than seven times another side. find the length of the shorter side if we also know that the perimeter of the rectangle is 168 feet.
As per the perimeter the length of the shorter side is 10.5 feet and the length of the longer side is 73.5 feet.
The perimeter of a rectangle is the sum of the lengths of all its sides. If we know the perimeter of a rectangle and some information about the relationship between its sides, we can use that information to find the lengths of the sides.
Let's call the length of the shorter side "x".
The other side is seven times as long, so it is 7x.
The perimeter of the rectangle is 168 feet, so we have
=> 2x + 14x = 168.
Simplifying the equation, we have
=> 16x = 168.
Dividing both sides of the equation by 16, we find
=> x = 10.5.
So, the length of the shorter side is 10.5 feet and the length of the longer side is
=> 7x = 7 * 10.5 = 73.5 feet.
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Answer this question please. Thanks
Answer:
a). $8.30
b).$18.70
c). $10.40
d). 1.04
Step-by-step explanation:
Average price of the ticket of a basketball game can be represented by the function,
p(x) = 0.03x² + 0.56x + 6.35
Where 'x' is the number of years or duration.
a). P(3) = 0.03(3)² + 0.56(3) + 6.35
= 0.27 + 1.68 + 6.35
= $8.30
b). P(13) = 0.03(13)² + 0.56(13) + 6.35
= 5.07 + 7.28 + 6.35
= $18.70
c). P(13) - P(3) = 18.70 - 8.30
= $10.40
d). \(\frac{P(13)-P(3)}{13-3}\) = \(\frac{10.40}{10}\)
= 1.04
Average increase in the price of each ticket from 3 tickets to 13 tickets is $1.04.
The set of integers greater than -1
Help there are 2 answers for this does anyone know what they are for 10 points
NEED HELP ASAP!!! 30 POINTS
1. Your mission is to dilate the rectangle shown below by a scale factor of 8, due to working off a 1/8th model.
(a) Calculate the length of each side of the dilated image you’ve created, and make certain to include your work below. You’ll need this for Part B.
(b) Draw the new image, label it, and put the measurements you calculated in Part A on your new figure with the appropriate units.
Answer:
Answer:
The dimensions of the rectangle dilated by a scale factor of 8 are 120 cm x 64 cm
Step-by-step explanation:
To dilate the rectangle, we multiply the value of its measurements by the scale factor, which is 8 in this case.
a) Length of each side
side AB = side CB = 15 cm
side AC = side BD = 8 cm
New measures
side A'B' = side C'B' = 15 * 8 = 120 cm
side A'C' = side B'D' = 8 * 8 = 64 cm
below is the image dilated by a factor of 8
y - 7 = 3 help me pls
Answer:
The answer is in the link
Step-by-step explanation:
Brainliest pls
Write 28 + 24 as a product of two factors using the GCF
and the distributive property.
28 24
Answer:
4(7 + 6)
Step-by-step explanation:
28 + 24
GCF of 28 and 24 is 4
4 (7 + 6)
I hope this helps!
Find the minimum or maximum value of the quadratic equation y=4x^2−40x+27
Considering the definition of minimum or maximum value of a quadratic equation, the minimum of the quadratic equation y=4x²−40x+27 is (5; -73).
Minimum or maximum value of a quadratic equationA quadratic function is a variable of a polynomial function defined by f(x)=ax² + bx +c, where a≠0
The graphs of these functions correspond to vertical parabolas (symmetric axis parallel to the ordinate axis), with the particularity that:
when a>0, the vertex of the parabola is at the bottom of it, being a minimum (this is, the parabola opens "up").when a<0 the vertex is at the top, being a maximum (i.e. the parabola opens "down").The value of -b÷(2a) indicates the value of x of the vertex of the parabola. Replacing this value into the function, you get the value of y of the vertex of the function.
This caseIn this case, the quadratic equation y=4x²−40x+27, where:
a=4b= -40c= 27As a>0, the vertex of the parabola is a minimum.
The value of x of the vertex is calculated as -(-40)÷(2×4)
Solving: -(-40)÷(8)= 40÷8= 5
The value of y of the vertex of the function is calculated as y=4×5²−40×5+27
Solving y= -73
Finally, the minimum of the quadratic equation y=4x²−40x+27 is (5; -73).
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The cost of a jacket increased from $75.00 to $84.75. What is the percentage increase of the cost of the jacket?
A.
1.3%
B.
87%
C.
13%
D.
9.75%
Answer:
c) 13%
Step-by-step explanation:
Given information,
→ The cost of a jacket increased from the price $75.00 to $84.75.
Now we have to,
→ find the % increase of cost of jacket.
Let's solve the problem,
→ ((84.75 - 75)/75) × 100
→ (9.75/75) × 100
→ 0.13 × 100
→ 13%
Hence, the answer is 13%.
L 10.1.2 Exam: Semester Exam
Find the value of x.
20°
(3x + 2)
O A. 6
O B. 20
O c. 7
O D. 5
Answer:
A
Step-by-step explanation:
The requried simplified value of x in the intersection of two lines is 6.
What are opposite angles?Opposite angles are a pair of angles that are formed when two lines intersect. The two angles are located on opposite sides of the point where the two lines intersect.
Opposite angles are also called vertical angles, and they have equal measures. This means that if we know the measure of one opposite angle, we can find the measure of the other opposite angle by setting them equal to each other.
Here,
When two lines intersect, opposite angles are equal. So, we can set the two opposite angles equal to each other and solve for x.
Given that the opposite angles are 3x + 2 and 20 degrees, we have:
3x + 2 = 20
Subtracting 2 from both sides, we get:
3x = 18
Dividing both sides by 3, we get:
x = 6
Therefore, the value of x is 6.
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TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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If lia has 1,00000$ and she spend 2,000 on her nails and feet to get done then.She buys new chanel shoes that cost 1,000 and then buys 400$ worth of clothes how much money will be left? Pls help
Answer:she will have 96,600
Step-by-step explanation:
Hope this helps
7,030 divided by 3 the division algorithm ?
Answer:
4.267?????
i used a calculator....
Quadrilateral ABCD is a square and the length of BD¯¯¯¯¯ is 10 cm.
What is the length of AE¯¯¯¯¯ ?
Enter your answer in the box.
the length of AE¯¯¯¯¯ =
cm
The length of AE¯¯¯¯¯ is 5√2 cm.
Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.
Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.
Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.
In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the diagonal (the hypotenuse) is the same as the side length, s.
Applying the Pythagorean theorem:
s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
100 = 2 * AE¯¯¯¯¯^2
AE¯¯¯¯¯^2 = 50
Taking the square root of both sides:
AE¯¯¯¯¯ = √50
Simplifying the square root:
AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm
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An auto dealership is advertising that a new car with a sticker price of $35,208 is on sale for $25,995 if payment is made in full, or it can be financed at 0% interest for 72 months with a monthly payment of $489. Note that 72 payments × $489 per payment = $35,208, which is the sticker price of the car. By allowing you to pay for the car in a series of payments (starting one month from now) rather than $25,995 now, the dealer is effectively loaning you $25,995. If you choose the 0% financing option, what is the effective interest rate that the auto dealership is earning on your loan?
The answer is: APR = 10.56%
Explanation: Using an excel spreadsheet and the RATE function, we can calculate the monthly interest rate of buying the car:
=RATE(72,-489,25995)
= 0.8803% monthly interest rate
Then we multiply the monthly interest rate by twelve to get the APR:
APR = 0.8803% x 12 = 10.56%
The height of a building is 1957 feet. How long would it take an object to fall to the top? Use the formula d=16t^2
It will take 2.76 seconds an object to fall to the top.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given that The height of a building is 1957 feet.
S = the distance
Given d = 16t² is the function for the height as a function of time. It will hit the ground when h=0 so:
16t² - 1957 =0
16t² - 1957 =0
16t² =1957
t² =1957 /16
t=√(1957 /16) seconds
t≈ 2.76 seconds (to nearest hundredth of a second)
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producto de (10x+7)(10x-7)
Answer:
(10x−7)^2
Step-by-step explanation:
(10x+7)(10x-7)
i stead of making it a "100" since they are both the same but positive and negative () and bring it to the power of 2
Dylan paid $3.50 for 12 folders. How much would be pay for 30 folders?
Answer:
$8.75 (approximately)
BRAINLIEST, PLEASE!
Step-by-step explanation:
3.5/12 = 0.29...
0.29... x 30 = 8.75...
6. Slope =
Y-Intercept
Equation in slope-intercept form:
Bernard can save $315 per month that he puts into a savings account
earning 7% annual interest. How much will he have saved after 4
years? show your work
After 4 years of saving $315 per month at 7% annual interest rate, Bernard will have saved approximately $10,864.11.
To calculate the amount that Bernard will have saved after 4 years, we can use the formula for compound interest:
A = P(1 + r/n\()^{(nt)\)
Where:
A = the amount of money Bernard will have saved after 4 years
P = the amount of money Bernard is putting into savings each month = $315
r = the annual interest rate = 7% = 0.07
n = the number of times interest is compounded per year (monthly compounding in this case) = 12
t = the number of years = 4
Substituting the given values into the formula, we get:
A = 315(1 + 0.07/12\()^{(12\times 4)\)
A = 315(1.00583333\()^{48\)
A = 315(1.31564)
A = $10,864.11
Therefore, after 4 years of saving $315 per month at 7% annual interest rate, Bernard will have saved approximately $10,864.11.
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A girl who is flying a kite lets out 200 feet of string which makes an angle of 50° with the ground. Assuming that the string is stretched out, find, to the nearest foot, how high the kite is above ground.
The height of the kite from the ground when the angle is 50 degrees is 232 feet.
What is trigonometry?The study of the correlations between triangles' sides and angles is the focus of the mathematic branch known as trigonometry. To link the angles of a right triangle to the lengths of its sides, it makes use of trigonometric functions like sine, cosine, and tangent.
Numerous industries, including physics, engineering, and navigation, use trigonometry. It can be used, for instance, to determine a building's height or the separation between two locations on a map, as well as to examine how waves and oscillations behave.
To find the height of the kite above the ground we use the trigonometric identity of tangent.
Thus, we have:
tan(50°) = h/200
Now, using cross multiplication:
h = 200 tan(50°) ≈ 232 feet
Hence, the height of the kite from the ground when the angle is 50 degrees is 232 feet.
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