Answer:
\(\$45\)
Step-by-step explanation:
\(20+(2.5*20)=45\)
Marking up means that the new value is added onto the original value.
As we are increasing the original price by 250% of the price, we need to multiply it by 2.5, as that is equal to 250%
Answer:
20*2.5 = $50 Gross margin $70 Selling price
Step-by-step explanation:
Re-write the quadratic function below in Standard Form
y = -(x – 3)2 +8
Answer:
y = -x² + 6x - 1
General Formulas and Concepts:
Algebra I
Standard Form: ax² + bx + c = 0Expanding by FOIL (First Inside Outside Last)Combining like termsStep-by-step explanation:
Step 1: Define equation
y = -(x - 3)² + 8
Step 2: Rewrite
Expand [FOIL]: y = -(x² - 6x + 9) + 8Distribute -1: y = -x² + 6x - 9 + 8Combine like terms: y = -x² + 6x - 1Find all the points at which the direction of fastest change of the function f(x, y) = x2 + y2 − 4x − 2y is i + j.
Answer:
All the points that lie on the line:
\(y(x)=x-1\)
Step-by-step explanation:
In order to find the maximum rate of change, we need to find the gradient of the function. The gradient of a function of two variables is defined to be:
\(\nabla f =\frac{\partial f}{\partial x} i + \frac{\partial f}{\partial y} j\)
So:
\(\frac{\partial f}{\partial x} = 2x-4=2(x-2)\\\\\frac{\partial f}{\partial y} = 2y-2=2(y-1)\)
Hence:
\(\nabla f(x,y)=2(x-2)i+2(y-1)j\)
Since we need to find all the points at which the direction of fastest change of the function \(f(x,y)=x^{2} +y^{2} -4x-2\) is \(i+j\). Then:
\(2(x-2)i+2(y-1)=ai+aj\\\\a>0\)
Therefore:
\(2(x-2)=2(y-1)\\\\Solving\hspace{3}for\hspace{3}y\\\\y=x-1\)
So, we can conclude, that all the points where the direction of fastest change of \(f(x,y)\) lie on the line:
\(y(x)=x-1\)
What is the area of a square if one side is 14 centimeters long?
Answer:
A=a2=142=196cm²
Answer: 196 cm²
hope this helps :)
Answer:
196cm²
Step-by-step explanation:
All of a square's sides are congruent which means if one side is 14cm then all the other sides have to be 14cm as well.
To find the area you multiply the length and the width (A=l*w)
l=14, w=14
14*14=196cm²
marking brainliest
please help!!!!
The length of a rectangle is three times it’s width. The area of the rectangle is 108cm power of 2 what is its perimeter
The perimeter of the rectangle with area of 108 cm is 48 cm.
How to find the perimeter of a rectangle?The perimeter of a rectangle is the sum of the whole sides of the rectangle. A rectangle is a quadrilateral with opposite side equal to each other.
Therefore,
area of a rectangle = lw
where
l = side lengthw = widthTherefore,
l = 3w
108 = 3w(w)
108 = 3w²
w² = 108 / 3
w = √36
w = 6
Hence,
length = 3(6) = 18
Therefore,
perimeter of the rectangle = 2(l + w)
perimeter of the rectangle = 2(18 + 6)
perimeter of the rectangle = 2(24)
perimeter of the rectangle = 48 cm
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which mixed number is equivalent to the improper fraction of 41/10
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
Calculate the probability for the following situation, then select the correct answer:
You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card greater than 6 (assume the ace is equal to 1) from the deck?
The probability is P = 0.135
How to find the probability?
First, we need to find the individual probabilities, that are given by the quotient between the number of outcomes that meet the condition and the total number of outcomes.
P(head) = 1/2P(odd number) = 3/6 (there are 3 odd numbers on the dice)P(card greater than 6) = 28/52 (28 cards with numbers larger than 6).The joint probability is given by the product between the individual probabilities, so we get:
P = (1/2)*(3/6)*(28/52) = 0.135
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1 An object rests on a rough surface and is pushed horizontally with force of 6 N.
The mass of the object is 5 kg and the coefficient of friction between the object and
the surface is 0.3.
1)The horizontal force acting on the object is increased to PN. Find the largest
value of P for which the object does not slip.
The normal force acting on the body is 49.05N
Data;
force = 6Nmass = 5kg coefficient of friction = 0.3Horizontal ForceTo calculate the horizontal force or the force acting on the horizontal plane on the body is given as
\(N + fsin\theta = mg\)
Where N = normal force
Let's substitute the values and solve.
\(N = mg - fsin\theta\\N = (5 * 9.81) - 6 sin (0)\\N = 49.05N\)
The normal force acting on the body is 49.05N
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A line is an undefined termi because it
Answer:
Goes on forever.
Step-by-step explanation:
Picture included!!! Please help! Suppose a = 10 and b = 24. Give the value of each of the following. Give answers as integers or rounded to 2 decimal places as appropriate.
Answer:
A = 22.62°
B = 67.38°
c = 26
Step-by-step explanation:
\(a^2+b^2=c^2\\10^2+24^2=c^2\\100+576=c^2\\676=c^2\\26=c\)
\(\sin A=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{10}{26}\\\\A=\sin^{-1}(\frac{10}{26})\\\\A\approx22.62^\circ\)<-- You can also use other trig ratios
\(B=180^\circ-(90^\circ+22.62^\circ)=180^\circ-112.62^\circ=67.38^\circ\)
There's no specific order in how to solve for A and B, so there may be more than one way to approach these solutions.
1)The sum of two numbers is 43, and their differences is 7. Find the smaller number.
(a) 50 (b) 36 (c) 18 (d) 10 (e)-8
2)The bearing of a tree from the house is
295° Find the bearing of the house from
the tree. (a) 0.25° (b) 0.95° (c) 115°
(d) 295° (e) 476°
3)A circle has a circumference of 77cm.
Calculate the radius of the circle.
(Take TT= 22/7) (a)49cm
b)
\(24 \frac{1}{4} \)
(c)
\(12 \frac{1}{2} \)
(d)7cm
e)
\(12 \frac{1}{4} \)
so lets start with making these equations
x + y = 43
x - y = 7
now we can rewrite the second equation in terms of x
x = 7 + y
now we plug that x value back into the first equation
7 + y + y = 43
7 + 2y = 43
2y = 36
y = 18
now we can plug the value of y into the rewritten second equation leaving us with
x = 7 + 18
x = 25
so y = 18 and x = 25
and the difference is 7
please give brainliest!
Get it right please.
A zoologist recorded the speed of two cheetahs. Cheetah A ran 17 miles in 8 minutes. Cheetah B ran 56 miles in 20 minutes. Which statement is correct?
Cheetah A has a higher ratio of miles per minute than Cheetah B because 17 over 8 is less than 56 over 20.
Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is greater than 56 over 20.
Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20.
Both cheetahs have the same ratio of miles per minute.
The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."
also "get it right please" ?! how rude
help plssssssssssssssssssssssss omg plsssssssssssssssssssss
3. 5x+19
4. 7f+7
i'm not so sure but i tried
(2b) A rectangular prism measures 2 & 2/5 inches by 3 & 1/5 inches by 2 inches. How many cubes with edge length 1/5 inch fit in the prism? *
Answer:
1920 cubes.
Step-by-step explanation
Turn both the mix numbers into improper fractions.
2 2/5 = 12/5
3 1/5 = 16/5
Then you will turn 1/5 into its reciprocal and multiply both the improper fractions by it. You can just casually multiply 2 and 5.
12/5 * 5/1 = 12
16/5 * 5/1 = 16
2 * 5 = 10
Next you multiply all together to get 1920 cubes.
(I could be missing a step. I apologize if I did.)
need help asap!
Mildred has a circular yard with a diameter of 145 feet
She wants to put a fence around the entire yard. How many feet of fence would it take to put Fence around the entire circular yard?
Approximately 456.3 feet of fence to surround the entire circular yard.
Now, For the amount of fencing needed to surround a circular yard, we have to calculate the circumference of the circle, which is the distance around the circle.
Since, The circumference of a circle is,
⇒ C = πd,
where, C is circumference, d is diameter,
Here, the diameter of the circular yard is 145 feet,
So the radius is half of that,
r = 145/2 = 72.5 feet.
So, Using the formula, we can calculate the circumference as:
C = πd
C = 3.14 x 145
C = 456.3 feet
Therefore, Approximately 456.3 feet of fence to surround the entire circular yard.
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3. Show that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Answer:
Step-by-step explanation:
To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.
Let's apply the Luhn algorithm to the given credit card number:
Step 1: Starting from the rightmost digit, double every second digit
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|
Step 2: If the doubled value is greater than 9, add the digits of the result
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |
Step 3: Add up all the digits in the credit card number, including the check digit
5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61
Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.
61 is not divisible by 10, therefore the given credit card number is invalid.
Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
evaluate each expression for the given values of the variable
3x+5 when x=9 and x=12
PLSSSSS HELP
The correct mix for a batch of concrete is 6:3:2 in terms of sand, gravel and cement. The batch is to have 3300 pounds of these ingredients. How many of each are needed?
pounds of sand
pounds of gravel
pounds of cement
Answer:
1,800 lbs of sand
900 lbs of gravel
600 lbs of cement
Step-by-step explanation: 11*300=3,300. 300*6=1,800, 300*3=900, and 300*2=600. This is correct because if you add 1,800+900+600 you get 3,300.
Simplify the answer 4 times 3/4
Answer:
3
Step-by-step explanation:
4*3/4 is basically 4*3=12/4 which is 3
Answer:
3
Step-by-step explanation:
3/4*4=12/4
12/4 diveded by 4 is 3
Please help ASAP!
(Picture attached)
Answer:
\( \frac{14}{45} \)option D is the right option.
Solution,
1 liquid pint=0.5 liquid quart
( 2 pints=1 quart)
Since,
2 pints=1 quart them,
14 pints=7 quarts
Ratio is 14 pints(7 quarts) to 45 pints.
Thus the fraction is:
\( \frac{14}{45} \)
hope this helps...
Good luck on your assignment..
What is the slope-intercept equation for a line that has a y intercept of 3 and a slope that is 2/5. O y = 3x + 2/5 O y=-2/56-3 O y=2/5x+3 O y= 2/5x-3
The equation of a line in its slope-intercept form is given as:
\(y=mx+b\)where m is the slope and b is the y-intercept. In this case we have that m=2/5 and b=3, therefore the equation is:
\(y=\frac{2}{5}x+3\)and the answer is the third option
Pro
Circle A has a circumference of 23 m. Circle B has a diameter that is
1½ times as long as Circle A's diameter. What is the circumference of
Circle B?
The circumference of Circle B is 34.5 meters.
What is circumference ?
Let's start by finding the diameter of Circle A. The formula for the circumference of a circle is:
C = πd
where C is the circumference and d is the diameter.
So we can solve for the diameter of Circle A by rearranging the formula:
d = C/π = 23/π
Now we can find the diameter of Circle B, which is 1½ times as long as Circle A's diameter:
d(B) = 1.5d(A) = 1.5(23/π)
Next, we can use the formula for the circumference of a circle to find the circumference of Circle B:
C(B) = πd(B)
C(B) = π(1.5)(23/π)
C(B) = 1.5(23)
C(B) = 34.5 meters
Therefore, the circumference of Circle B is 34.5 meters.
What is diameter of circle?
The diameter of a circle is the distance across the circle passing through its center. It is the longest chord of the circle and is twice the length of the radius.
The formula for the diameter of a circle is:
d = 2r
where d is the diameter and r is the radius of the circle.
Alternatively, we can use the formula for the circumference of a circle to find the diameter:
d = C/π
where C is the circumference of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.
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Complete question is: Circle A has a circumference of 23 m. Circle B has a diameter that is 1½ times as long as Circle A's diameter. the circumference of Circle B is 34.5 meters.
convert 2011 to base 3
Answer:
To begin the conversion to base-3, we divide our number by 3. We don't need to worry about decimal points, just what the remainder is. Let's divide 42 by 3. We get 14 with remainder 0.
Answer:
To begin the conversion to base-3, we divide our number by 3. We don't need to worry about decimal points, just what the remainder is. Let's divide 42 by 3. We get 14 with remainder 0.
Step-by-step explanation:
that is ur answer
Graph the function and select the y-intercept y = 2 times 3 Superscript x
y-intercept of given function is y = 1
How to graph the function?
The collection of ordered pairings with the (x,y). (x,y) sign is known as the graph of a function in mathematics, where f(x)=y. x and f(x) are Cartesian coordinates of points in two-dimensional space, and in the typical scenario where they are real numbers, they constitute a subset of this plane.
Given function , f(x) = 2· \(3^{x}\)
Graph of the function is given below:
As the given graph is intersecting the y-axis at y=1 So, y-intercept of given function is y = 1
Therefore, y-intercept is y = 1
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please answer the third questionIf side a measures 90 feet and side b measures 120 feet, how many feet of flowers will be planted along side c, the hypotenuse of the triangle? Show your work and explain your reasoning. Calculate the area of the red triangle to find the area of the garden. Show your work. (3.) Millennium Park has an outdoor concert theater. Before a concert, the area reserved for special seating is roped off in the shape of a triangle as shown below. How can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle?
Here, we want to use the converse of the Pythagorean theorem to check if the roped off area is in the shape of a right triangle
According to the converse, we have it that;
if;
\(c^2=b^2+a^2\)Then, we have a right triangle, given that c is the longest side
So, by using the side lengths of the roped off area, if the square of the length of the longest side of the roped off area is equal to the sum of the squares of the other two sides of the roped off area, then what we have is a right triangle
A dietitian wishes to see if a person’s cholesterol level will change if the diet is supplemented by a certain mineral. Six subjects were pretested, and then they took the mineral supplement for a 6-week period. The results are shown in the table. (Cholesterol level is measured in milligrams per deciliter.) Can it be concluded that the cholesterol level has been changed at level of 0.10? Assume the variable is approximately normally distributed.
The conclusion of the hypothesis testing is that; there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.
How to carry out hypothesis testing?Hypothesis testing is defined as the method that is used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample.
Let us first define the hypothesis in this problem;
Null Hypothesis; H₀: μ_d = 0
Alternative Hypothesis; Hₐ: μ_d ≠ 0 (Claim)
The degree of freedom is;
DF = n - 1
DF = 6 - 1
DF = 5
At a significance level of α = 0.10, with a DF of 5, the critical values are ±2.015.
Using a computer software, we can calculate the mean from the attached table as;
D' = ∑d/n
D' = 100/6 = 16.7
Similarly, the standard deviation is calculated from the formula;
S_d = √(n∑d² - (∑d)²)/(n(n - 1))
s_d = √(6.489 - 100²)/(6(6 - 1))
s_d = 25.4
The test statistic is gotten from the formula;
t = (D' - μ_d)/(s_d/√n)
t = (16.7 - 0)/(25.4/√6)
t = 1.610
This is less than the critical value and we fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim that the mineral changes a person’s cholesterol level.
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A basketball backboard said that sold for $79 is discounted 15% what is the sale price?
Answer: 67.15
Step-by-step explanation:
A swimming pool is draining at a constant rate. The amount of water in gallons left in the pool after X minutes is represented by the expression shown.
25,000-30x
What does 30 represent in this context?
So, 30 reflects the amount of water that is being removed from the swimming pool per minute in gallons.
How variables figure out an equation?In the provided formula, 25,000 - 30x, x is the amount of time in minutes and 30 is the pace in gallons per minute at which the pool is draining.
The expression is a linear equation of the form y = mx + b, where x is the length of time that has passed and y is the amount of water that is still in the pool.
The slope (m) of the equation in this instance is -30, which means that the pool's water level is dropping at a rate of 30 gallons per minute.
The expression's value decreases as more time passes because the value of x rises. As a result of the water draining out of the pool at a constant rate of 30 gallons per minute, the pool's volume is dropping linearly over time.
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Which equation represents a proportional relationship?
A) y=5
B) x=3
C) y=2x+3
D) y=1/4x
Answer:
c! I had the same one in my class I'm pretty sure I was right
(can you make me brainleist I need to level up)
In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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