For the number of miles driven, Company A will charge less than Company B if x<y, where x is the number of miles driven for Company A and y is the number of miles driven for Company B. Therefore, the inequality is x<y.
When comparing two companies for their charges for a specific service, it is necessary to obtain a basic understanding of the charges for each company. You can make use of the inequality operator to check when one company will charge less than the other company.
To use the inequality operator, you'll need to calculate the differences between the two companies for the specific mileage. Let's assume that the mileage is represented by "m" and that the charge for company A is "cA" and the charge for company B is "cB".
If the question only provides specific numerical values for these variables, you can substitute them into the inequality formula. If you're given algebraic expressions, you'll need to simplify them before substituting them into the inequality formula.
The inequality formula for comparing the charges is as follows: cA < cB.
To use this formula, substitute the expression for each variable.
For example: 4m + 20 < 3.5m + 35 Now, you'll need to simplify the inequality by performing algebraic operations on both sides of the inequality. Begin by subtracting 3.5m from both sides of the inequality: 0.5m + 20 < 35.
Next, subtract 20 from both sides of the inequality: 0.5m < 15 Finally, divide both sides of the inequality by 0.5: m < 30
Therefore, Company A will charge less than Company B for any mileage less than 30.
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Complete with he function table for each equation
The numbers to correctly complete the table based on the function is 2, 3, 4, 5.
What does the function of the table shows?The function x-3 as any other function shows a pattern. In this case, it shows the way the value in column f(x) changes depending on the value of x. Here are some examples:
If the value of x is 34 = 34 - 3 = 31
If the value of x is 12 = 12 - 3 = 9
Based on this principle, the correct values to complete the table presented are 2, 3, 4, 5.
5 - 3 = 26 - 3 = 37 - 3 = 48 - 3 = 5Note: This question is incomplete; below I attach the missing section.
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Rewrite the following without an exponent.
(5/7)-1
The expression (5/7)^-1 can be written without an exponent as 8/5.
How can the exponent be written?Exponents have a number of important properties, such as the product rule (a^m × a^n = a^(m+n)) and the power rule ((a^m)^n = a^(m*n)). They are used in a wide range of mathematical contexts, including algebra, calculus, and geometry.
Given that (5/8)^-1, then we can deduced that the negative exponent is the samething as putting it in the denominator, which can be exprtessed as;
=[1/ (5/8)]
=[1 ÷ (5/8)]
[1 * 8/5]
=8/5
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Given the circle below with chords NO and PQ. Find the length of QR. Round to
the nearest tenth if necessary.
N
P
25
37
R
39
O
The length of QR, considering the intersecting chords in the circle, is given as follows:
QR = 26.4.
What is the chord of a circle?A chord of a circle is a straight line segment that connects two points on the circle. Specifically, it is a line segment whose endpoints are on the circle. A chord is often denoted by drawing a line segment between the two endpoints, with the segment passing through the interior of the circle.
When two chords intersect each other, then the products of the measures of the segments of the chords are equal.
The product to obtain the length QR is given as follows:
37QR = 25 x 39
Then the length QR is given as follows:
QR = 25 x 39/37
QR = 26.4.
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Unit 1 is m feet, unit 2 is n feet unit 3 is k dollars per square feet, write an expression that could result in a final unit measure of dollars
The expression that could result in a final unit measure of dollars is given by (mnk²) dollars.
To write an expression that could result in a final unit measure of dollars, we need to consider the units given.
We have three units, i.e., m feet, n feet, and k dollars per square foot.
To convert these units to dollars, we need to multiply the given units with appropriate conversion factors.
The conversion factor for the given units is as follows:
Unit 1: 1 foot = k dollars (Conversion factor)
Unit 2: 1 foot = k dollars (Conversion factor)
Unit 3: 1 square foot = 1 x k dollars = k dollars (Conversion factor)
Now, let us write the expression that results in a final unit measure of dollars.
The expression should be written in HTML format.
Let us begin: Final Unit Measure = (Unit 1) x (Unit 2) x (Unit 3)
Final Unit Measure = (m feet) x (n feet) x (k dollars per square foot)
Final Unit Measure = m x k dollars x n x k dollars per square foot
Final Unit Measure = (m x k x n x k) dollars
Final Unit Measure = (mnk²) dollars.
Thus, the expression that could result in a final unit measure of dollars is given by (mnk²) dollars.
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a right circular cylinder is generated by rotating a rectangle of perimeter p about one of its sides. what dimensions of the rectangle will generate the cylinder of max volume?
A right circular cylinder can be generated by rotating a rectangle of perimeter p about one of its sides. The dimensions of the rectangle that will generate the cylinder of max volume are l = p/6 and w = p/2 - l = 2p/3.
Explanation: Let l and w be the dimensions of the rectangle of perimeter p.
That is, the rectangle's perimeter is given by p = 2l + 2w or p/2 = l + w. Therefore, the width w = p/2 - l. The area of the rectangle is given by lw. When the rectangle is rotated around the side of length w, it generates a cylinder of height l and radius w.
The volume of the cylinder is given by V = πr²h = πw²l. Substituting w = p/2 - l, we obtain V = π(p/2 - l)²l = π(p/2)²l - 2π(p/2)l² + πl³.
The volume function can be obtained by differentiating V with respect to l, setting the derivative equal to 0, and solving for l. The derivative of V with respect to l is given by dV/dl = π(p/2)² - 4π(p/2)l + 3πl².
Setting dV/dl = 0 and solving for l, we obtain l = p/6.The dimensions of the rectangle that will generate the cylinder of max volume are l = p/6 and w = p/2 - l = 2p/3.
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help
asap please need this
Answer:
15 degrees,45 degrees, 120 degrees respectively
Step-by-step explanation: TO begin with total=1+3+8=12
1:3:8=12
1/12*180=15
3/12*180=45
8/12*180=120
rotate 270 degrees…what are the coordinates of B
PLS HELP
Answer:
8;-2
Step-by-step explanation:
8 is the x axis and -2 is the y axis
Answer:
Step-by-step explanation:
17) After 8 years at 4% simple interest per year, your savings account earns interest of $80.00. What is the principal
Answer:
Step-by-step explanation:
We can use the simple interest formula to solve this problem. The formula is:
I = P * r * t
Where:
I = Interest earned
P = Principal (initial amount of money)
r = Interest rate per year (as a decimal)
t = Time (in years)
From the problem statement, we know that:
I = $80.00
r = 0.04 (4% as a decimal)
t = 8 years
Substituting these values into the formula, we get:
$80.00 = P * 0.04 * 8
Simplifying:
$80.00 = 0.32P
Dividing both sides by 0.32, we get:
P = $250.00
Therefore, the principal is $250.00.
Find CY on the triangle Geometry
The value of CY is 4.4
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion. The ratio of corresponding sides of similar triangles are equal.
Triangle ABC is similar to AXY
therefore,
represent CY is by x
9/9+4 = 10/(10+x)
= 9/13 = 10/10+x
= 13× 10 = 9( 10+x)
130 = 90 + 9x
9x = 130-90
9x = 40
x = 40/9
x = 4.44
therefore the value of CY is 4.44
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HELPPPPP!!!!!!!!!!!!!
Answer:
Step-by-step
To make 100 to 250, you need to multiply 100 by 2.5 to make 250. In the similar way you need to multiply 80 by 2.5 which equals 200 which is the answer
one side of a triangle is 5 and the altitude to that side is 12. another side of the triangle is 13. can you tell what the length of the altitude to that side of the triangle is? if not, why not? if so, show what it is.
12
Yes, it is possible to calculate the length of the altitude to the other side of the triangle. To do so, use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this triangle, the hypotenuse is the side of length 13 and the other two sides are the side of length 5 and the altitude to it. So, the equation to use is:
132 = 52 + altitude2
Solving for altitude gives:
altitude2 = 132 - 52
altitude2 = 169 - 25
altitude2 = 144
altitude = √144 = 12
Therefore, the length of the altitude to the side of the triangle with length 13 is 12.
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7. What is the volume in centimeters of the rectangular prism bel
W
a. 12 cm³
b. 15 cm³
c. 20 cm³
d. 60 cm³
Answer:
The volume of a rectangular prism is given by the formula V = l x w x h, where l is the length, w is the width, and h is the height.
The rectangular prism in question has the following dimensions:
Length (l) = 3 cm
Width (w) = 5 cm
Height (h) = 4 cm
Using the formula for volume, we get:
V = l x w x h
= 3 cm x 5 cm x 4 cm
= 60 cm³
Therefore, the volume of the rectangular prism is 60 cm³.
The answer is (d) 60 cm³.
I Hope This Helps!
in bridge, south has 13 points and 3 clubs and bids 1 club. north responds with 3 clubs, what does that mean?
In the bridge, when the south has 13 points and 3 clubs and bids 1 club, the north responding with 3 clubs means that the North has a strong hand with six or more clubs.
In the game of bridge, bidding is a method of indicating the strength of a player's hand, which is the number of tricks that they believe they can win if they become the declarer. Every player has to declare their abilities based on the bid of the previous player when it is their turn to bid.
The bidding starts with the dealer and proceeds in a clockwise direction. The players can either make a bid or pass. The following are the four basic bids in Bridge:
When South has 13 points and 3 clubs, he makes a 1 Club bid. This bid can be interpreted as follows:
South has a strong hand with five or more clubs and 13 to 21 high card points. When South bids 1 Club, he implies that he has a balanced hand, which means that he has four cards in each suit, or an unbalanced hand, which means that he has a long suit, a singleton, or a void in some other suit.
When North responds with 3 Clubs, it means that he has a strong hand with six or more clubs. North has understood that South has five or more clubs and therefore responds with the number of clubs that he has in his hand to show that he is strong enough to support South's suit. Thus, North is trying to force South to become the declarer in clubs.
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PLSSSS HELP IF YOU TURLY KNOW THISS
Given:-
[tex] \tt \: x - 5 = 2[/tex][tex] \: [/tex]
Solution:-
[tex] \tt \: x - 5 = 2[/tex][tex] \: [/tex]
[tex] \tt \: x = 2 + 5[/tex][tex] \: [/tex]
[tex] \boxed{ \tt{ \blue{ \: \: x = 7 \: \: }}}[/tex][tex] \: [/tex]
The value of x is 7 !
__________________
hope it helps ⸙
One of the advantages of buying a franchise is that the purchaser has access to a proven business system. T/F
True False
One of the advantages of buying a franchise is that the purchaser has access to a proven business system is true.
Explanation:
What is a franchise?A franchise is a company's business model and brand name that it allows to be used by third parties in exchange for a fee. The individual or entity who pays the fee is referred to as the franchisee. The purchaser of the franchise receives a licence to use the franchisor's trade name, business systems, operational procedures, goods, and other intellectual property, among other things. The franchisee is also required to follow certain operational protocols and sales/marketing strategies, as well as purchase products from the franchisor. For various reasons, a franchise is often viewed as a low-risk business opportunity for a potential business owner. Among the numerous advantages of buying a franchise, the ability to access a proven business system is one of the most important.
A proven business system is a set of guidelines, operational procedures, marketing and sales strategies, and other tools that have been shown to be effective for a particular franchise. By using a proven business system, the franchisee is less likely to fail and more likely to succeed. As a result, a franchisee's revenue stream will be more stable, allowing for long-term growth and success.
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help me please find the answer
In the given triangle, using angle bisectοr theοrem, the value οf the variable is 8.
What is triangle?A triangle is a pοlygοn with three edges and three vertices. It belοngs tο the basic geοmetric shapes. A triangle with the parts A, B, and C is referred tο as triangle ABC. Any three pοints that are nοt cοllinear in Euclidean geοmetry result in a separate triangle and a distinct plane.
What is angle bisectοr Theοrem?The angle bisectοr theοrem in mathematics is cοncerned with the prοpοrtiοns οf the twο segments that a line that bisects the οppοsite angle divides a triangle's side intο. It cοmpares their prοpοrtiοnal lengths tο the prοpοrtiοnal lengths οf the triangle's οther twο sides.
In the given triangle, using angle bisectοr Theοrem,
36/28 = q/(16-q)
On sοlving, we get
q = 9
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Work out m and c for the line: y = 5 − x
Answer:
m = -1, c = 5
Step-by-step explanation:
Provided in the attachment.
Factor the expression 12x²+18x-12
(URGENT)
Answer:
6(2x - 1)(x + 2).
Step-by-step explanation:
12x²+18x-12
= 6(2x^2 + 3x - 2)
= 6 (2x - 1)(x + 2).
i need help on this question :(((
The Polynomials that are listed in the question are the options labelled;
B, C, E
What is a polynomial?
A polynomial is a mathematical expression that consists of variables, coefficients, and exponents.
The variables represent unknown values, while the coefficients are constants that multiply the variables or their exponents. The exponents indicate the power to which the variables are raised.
Polynomials can be added, subtracted, multiplied, and divided to create more complex expressions, and they are used in a wide range of mathematical applications, including algebra, calculus, and geometry.
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A number divided by eight answers 27 remainders four whats the number
As per the query, we have to find a number which is divided by 8 that answers 27, i.e., quotient is 27, and remainder is 4. The number is 220.
In this case, we used it to find the number that was divided by 8 and gave a quotient of 27 and a remainder of 4. As we know the rule:
Dividend = Divisor × Quotient + Remainder
x = 8 × 27 + 4 x = 216 + 4 x = 220.
Hence, the number is 220.
The formula I used is called the division algorithm. It’s a way to divide two numbers and get a quotient and remainder. We can use this formula to solve other division problems with remainders as well.
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Write an equation for line t. Show or explain how you determined your equation.
Enter your equation and your work or explanation in the box provided.
Answer:
[tex]y - 3 = \frac{2}{3} (x - 3)[/tex]
[tex]y = \frac{2}{3} x + 1[/tex]
[tex]2x - 3y = - 3[/tex]
Step-by-step explanation:
[tex]m = \frac{ - 5 - 3}{ - 9 - 3} = \frac{ - 8}{ - 12} = \frac{2}{3} [/tex]
[tex]y - 3 = \frac{2}{3} (x - 3)[/tex]
[tex]y - 3 = \frac{2}{3} x - 2[/tex]
[tex]y = \frac{2}{3} x + 1[/tex]
[tex]3y = 2x + 3[/tex]
[tex] - 2x + 3y = 3[/tex]
[tex]2x - 3y = - 3[/tex]
on a monte carlo roulette wheel, there are 37 slots: 18 red, 18 black, and 1 green. if you were to sit down and spin such a wheel 26 times, what would be the probability of duplicating the 26 straight blacks that occurred on august 18, 1913 at monte carlo?
If on a monte carlo roulette wheel, there are 37 slots: 18 red, 18 black, and 1 green, the probability of getting 26 straight blacks is approximately 3.143 x 10^-16.
The probability of duplicating the exact sequence of 26 straight blacks that occurred on August 18, 1913, is extremely low. Each spin of the wheel is an independent event, so the probability of getting a black on any given spin is always 18/37, regardless of what happened on previous spins.
To calculate the probability of getting 26 straight blacks, we can use the formula for the probability of a sequence of independent events, which is the product of the probabilities of each event. Therefore, the probability of getting 26 straight blacks is (18/37)^26, which is an extremely small number, approximately 3.143 x 10^-16.
Therefore, the probability of duplicating the 26 straight blacks that occurred on August 18, 1913, is so low that it's effectively impossible. It's important to note that each spin of the wheel is independent, so even if the wheel had produced 25 straight blacks, the probability of the next spin being black would still be 18/37.
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A bank offers a CD that pays a simple interest rate of 11. 0%. How much must you put in this CD now in order to have $2500 for a home-entertainment center in 6 years. The present value that must be invested to get $2500 after 6 years at an interest rate of 11. 0% is $__?
The present value that must be invested to get $2500 after 6 years at a simple interest rate of 11.0% is $1509.64.
In this case, we know the final amount that we want to have after 6 years, which is $2500. We also know the interest rate, which is 11.0%. What we need to find is the principal amount, which is the present value that we must invest now to achieve the desired future value.
Using the formula for simple interest, we can rearrange it to solve for the principal:
Principal = Simple Interest / (Rate x Time)
We know that the simple interest is the difference between the final amount and the principal amount. Therefore, we can substitute the values into the formula:
$2500 - Principal = (Principal x 0.11 x 6)
Simplifying the equation, we get:
$2500 = Principal + (0.66 x Principal)
$2500 = 1.66 x Principal
Dividing both sides by 1.66, we get:
Principal = $1509.64
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from his purchased bags, randy counted 120 red candies out of 500 total candies. using a 90% confidence interval for the population proportion, what are the lower and upper limits of the interval? answer choices are rounded to the thousandths place.
As per the concept of confidence interval, we can be 90% confident that the true proportion of red candies in all the bags is between 0.195 and 0.285.
To do this, we first need to determine the level of confidence we want for our interval.
Next, we use a formula to calculate the confidence interval. The formula for a confidence interval for a population proportion is:
p ± z x √(p(1-p)/n)
where p is the sample proportion (in this case, 120/500 = 0.24), z* is the z-score that corresponds to the desired level of confidence (for a 90% confidence interval, z* = 1.645), and n is the sample size (in this case, 500).
Substituting the values into the formula, we get:
0.24 ± 1.645 x √(0.24(1-0.24)/500)
Simplifying, we get:
0.24 ± 0.045
Therefore, the lower limit of the confidence interval is 0.195 (0.24 - 0.045), and the upper limit is 0.285 (0.24 + 0.045).
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The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a fraction in simplest form. 80
80
24
24
As per the given triangle, the scale factor is 24/5
To identify the scale factor, we can choose two corresponding sides of the triangles and set up a proportion. Let's choose the legs of the triangles. We know that the length of the left leg is 5, and the length of the right leg is 25/4. Therefore, we can write:
5/x = 25/4/12
Here, x represents the length of the corresponding leg of the right triangle. We can simplify this proportion by cross-multiplying:
5 x 12 = (25/4) x (x)
Multiplying both sides by 4/25, we get:
(4/25) x 5 x 12 = x
Simplifying, we get:
x = 24/5
Therefore, the scale factor is 24/5. This means that if we multiply the lengths of any side of the left triangle by 24/5, we will get the corresponding length of the right triangle.
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Complete Question:
The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a fraction in simplest form.
5 and 12, 25/4 and 15
what conditions does the function f(x) have to meet in order to be able to use the integral test to verify convergence or divergence?
The conditions does the function f(x) to meet in order to be able to use the integral test to verify convergence or divergence is
1) f(x) must be continuous, positive, and decreasing for all x greater than some fixed value N.
2) The series to be tested must have non-negative terms.
3) The integral of f(x) from N to infinity must converge or diverge.
To use the integral test to verify the convergence or divergence of an infinite series, the following conditions must be met for the function f(x)
1) f(x) must be continuous, positive, and decreasing for all x greater than some fixed value N.
2) The series to be tested must have non-negative terms.
3) The integral of f(x) from N to infinity must converge or diverge.
If these conditions are met, then the integral test can be used to determine whether the series converges or diverges. Specifically, if the integral of f(x) converges, then the series converges. On the other hand, if the integral of f(x) diverges, then the series also diverges.
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Find the X
geometry
Considering the two secant theorem, the measure of the far arc x is given as follows:
x = 104º.
What is the secant-tangent theorem?The two secant theorem states that if two secant lines intersect outside a circle, then the measure of the angle of intersection of the two secant lines is obtained as the difference between the measure of the far arc and the measure of the near arc, divided by two.
Hence the equation to obtain the measure of the angle of intersection is given as follows:
y = (far arc - near arc)/2.
The parameters for this problem are given as follows:
Far arc = x.Near arc of 44º.Angle of intersection of y = 30º.Hence the measure of the far arc x is obtained as follows:
(x - 44)/2 = 30
x - 44 = 60
x = 44 + 60
x = 104º.
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Translate the figure 5 units left and 5 units up. Plot all of the points of the translated figure. You may click a plotted point to delete it.
Answer:
Send a proper picture, the fifth point is not visible.
It takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box, which holds 15 cups of sugar. Double the dimensions of the box. Hint: given k, areas are scaled by ____ and volumes are scaled by ____ Approximately how much paint would the new box need? How much sugar would it hold?
The new box would need approximately 8 ounces of paint and would hold 120 cups of sugar.
To find out how much paint the new box would need and how much sugar it would hold, follow these steps:
1. The original box holds 15 cups of sugar, and it takes 2 ounces of paint to cover it completely. When you double the dimensions of the box, areas are scaled by [tex]k^2[/tex] (k is the scale factor), and volumes are scaled by[tex]k^3.[/tex]
2. Since you double the dimensions, the scale factor k is 2.
3. The surface area of the box will be scaled by [tex]k^2, which is 2^2 = 4.[/tex]So, the new box will need 4 times the amount of paint that the original box needed. Since the original box needed 2 ounces of paint, the new box will need 2 × 4 = 8 ounces of paint.
4. The volume of the box will be scaled by [tex]k^3, which is 2^3 = 8[/tex]. So, the new box will hold 8 times the amount of sugar that the original box held. Since the original box held 15 cups of sugar, the new box will hold 15 × 8 = 120 cups of sugar.
In conclusion, the new box would need approximately 8 ounces of paint and would hold 120 cups of sugar.
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Write an equation to describe the relationship between t, the number of tickets, and c
, the total cost of tickets
The relationship between t, the number of tickets, and c, the total cost of tickets is: c = 55t
Relation between two variables, i.e, total cost and number of tickets:
The statistical relationship between two variables is called their correlation. The correlation can be positive, which means that the two variables move in the same direction, or negative, which means that when the value of one variable increases, the value of the other variable decreases.
Based n the Question:
Since there is no processing fee and the ticket price remains the same, we know that the fee will be proportional to the number of tickets purchased. The general form of the equation expressing the proportional relationship between the cost (c) and the number of tickets (t) is:
c = kt
where k is the constant of proportionality (the cost per ticket).
We can find k by using any of the data points given in the table. Using the first point, we have :
110 = k·2
Dividing the equation by 2:
110/2 = k = 55
Then using this value for k, the desired equation can be written:
c = 55t
Complete Question:
Total cost (in dollars) Number of concert tickets. the total costs in dollars are 110 275 440. the number in concert tickets are 2, 5, 8 Write an equation to describe the relationship between the total cost in dollars (c), and the number of tickets purchased (t),
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