Given parameters:
Speed of Cyclist 1 = 7mph
Speed of Cyclist 2 = 11mph
Time of travel = 30min = 0.5hr(60min = 1hr)
Unknown:
Distance separating them = ?
To solve this problem, we must understand that speed is the distance per unit time traveled.
Mathematically;
Speed = [tex]\frac{Distance}{Time}[/tex]
Now we are to find the distance separating the two cyclists;
Distance = speed x time
To find the distance separating the two cyclists, find the sum of their individual distances covered.
Distance separating them = Distance covered by cyclist 1 + Distance covered by cyclist 2
Now input the parameters;
Distance of separation = (7 x 0.5) + (11 x 0.5) = 3.5 + 5.5 = 9miles
The distance separating them is 9miles
what is the h.c.f of 24 and 40
Answer:
i think hcf of
24 and 40 is 8.
Aisha owns an online video game store. She charges an initial fee of $40 for each new subscriber in addition to $5 per video game download. Aisha has 10 new gaming subscribers. Each of those subscribers downloads 3 games per week.
After 4 weeks, how much money has Aisha made in total
what is the slope of the line that passes through the points (4,7) and (5,8)
Answer:
2.1
Step-by-step explanation:
The areas of two rectangles can be represented by the functions shown. Which function represents the difference in the areas h(x) = f(x) - g(x)?
Answer:
The answer is B
h(x) = 4x^2 – 4x + 11
Step-by-step explanation:
just took it !!!!
Answer:
B
Step-by-step explanation:
I too, took the assignment on e d g e n u i t y
Solve the inequality and write the solution in
interval notation:
x² - 1/3x-6 > 0
Answer:
B: (-1,1) U (2, infinity)
Step-by-step explanation:
Riley is placing the game board shown on his bedroom wall. What area of the wall will the game board cover? Use 3.14 for π and round to the nearest whole square foot. I will give brainliest.
Answer:
The answer is 5 ft squared
Step-by-step explanation:
so you have the find the area of the circle first and you do that by starting with the formula which is
pi r2
the diameter is 2.45 so you divide that by to to get the radius and get 1.25
the you would multiply 1.25 times 1.25 times 3.14, and get 4.91 which rounds to by the nearest whole umber as 5 ft 2.
GIVING BRAINLIEST, CANT SLEEP TIL THIS IS DONE. (basic geometry) put the points up in hopes of an answer. someone mind showing me how to do this?
Answer:
11) 313) 27°Step-by-step explanation:
11. ..................................................
The triangle is isosceles
Equal sides have length of
5x - 11 = 3x - 35x - 2x = 11 - 33x = 9x = 313. ..................................................
The triangle is isosceles
x is one of the angles of a right triangle
The other angle of this triangle is same as corresponding angle = 63°
x = 90° - 63° x = 27°Answer:
11. x = 413. x = 27°Step-by-step explanation:
11. isosceles triangle with two equal side lengths
5x - 11 = 3x - 3
5x - 3x = 11 - 3
2x = 8
x = 8 / 2
x = 4
13. isosceles triangle mirrored right triangle
with angles 63°, 90° and x , find x
90 + 63 + x
90 - 63 = x
x = 27°
Is (2, 4) a solution of the equation y = x - 2 ?
Answer: No, (2,4) is not a solution to the equation y = x-2
===============================================
Explanation:
We can show this by plugging x = 2 into the equation. We should get y = 4 if (2,4) was a solution
y = x-2
y = 2-2 ... replace x with 2
y = 0
Since we didn't get y = 4, this means (2,4) is not a solution
-----------------
A similar method would be to do these steps
y = x-2
4 = 2-2 ... replace x with 2, replace y with 4
4 = 0 ... false equation
The false equation shows y = x-2 is not true when (x,y) = (2,4)
-----------------
The graph of y = x-2 does not have the point (x,y) = (2,4) on the line.
So this is a visual way to confirm (2,4) is not a solution to y = x-2.
See the graph below.
(2, 4) is not a solution to the equation y = x - 2.
Given,
(2, 4)
We need to see whether (2, 4) is a solution to the equation y = x - 2.
What is a solution to an equation?The solutions are the values that satisfy the equation.
Example: y = x + 1
(1, 2) is a solution to y = x + 1.
( 1, 2 ) = ( x, y )
2 = 1 + 1
2 = 2
We have,
(2, 4) = (x, y)
y = x - 2
Put x = 2 and y = 4
4 = 2 - 2
4 = 0
Which is not true.
Thus (2, 4) is not a solution to the equation y = x - 2.
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Second derivative of x^½ + y^½ = a^½
Answer:
[tex]\displaystyle y'' = \frac{\sqrt{x} + \sqrt{y}}{2x^\big{\frac{3}{2}}}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Implicit Differentiation
Step-by-step explanation:
*Note:
Allow a to be defined as an arbitrary constant.
Step 1: Define
[tex]\displaystyle x^\big{\frac{1}{2}} + y^\big{\frac{1}{2}} = a^\big{\frac{1}{2}}[/tex]
Step 2: Differentiate
Basic Power Rule [Addition/Subtraction, Chain Rule]: [tex]\displaystyle \frac{1}{2\sqrt{x}} + \frac{y'}{2\sqrt{y}} = 0[/tex]Isolate y' term: [tex]\displaystyle \frac{y'}{2\sqrt{y}} = -\frac{1}{2\sqrt{x}}[/tex]Isolate y': [tex]\displaystyle y' = -\frac{\sqrt{y}}{\sqrt{x}}[/tex]Derivative Rule [Quotient Rule]: [tex]\displaystyle y'' = -\frac{(\sqrt{y})'(\sqrt{x}) - \sqrt{y}(\sqrt{x})'}{(\sqrt{x})^2}[/tex]Basic Power Rule [Derivative Rule - Chain Rule]: [tex]\displaystyle y'' = -\frac{\frac{y'\sqrt{x}}{2\sqrt{y}} - \frac{\sqrt{y}}{2\sqrt{x}}}{(\sqrt{x})^2}[/tex]Simplify: [tex]\displaystyle y'' = -\frac{\frac{y'\sqrt{x}}{2\sqrt{y}} - \frac{\sqrt{y}}{2\sqrt{x}}}{x}[/tex]Rewrite: [tex]\displaystyle y'' = \frac{-(y'x - y)}{2x^\big{\frac{3}{2}}\sqrt{y}}[/tex]Substitute in y': [tex]\displaystyle y'' = \frac{-(-\frac{\sqrt{y}}{\sqrt{x}}x - y)}{2x^\big{\frac{3}{2}}\sqrt{y}}[/tex]Simplify: [tex]\displaystyle y'' = \frac{\sqrt{x} + \sqrt{y}}{2x^\big{\frac{3}{2}}}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
What is the expanded form of 242,628
In a standard deck of 52 cards, there are four kings and this .... cards are not kings.
Translate each of these statements into logical expressions using predicates, quantifiers, and logical connectives
a) Somethingisnotinthecorrectplace.
b) All tools are in the correct place and are in excellent condition.
c) Everything is in the correct place and in excellent condition.
d) Nothing is in the correct place and is in excellent con- dition.
e) One of your tools is not in the correct place, but it is in excellent condition.
Answer:
A) ∃y(¬P(y))
B) ∀y(P(y) ^ Q(y))
C) ∀y(P(y) ^ Q(y))
D) ¬∃y(P(y) ^ Q(y))
E) ∃y(¬P(y) ^ Q(y))
Step-by-step explanation:
We will use the following symbols to answer the question;
∀ means for all
∃ means there exists
¬ means "not"
^ means "and"
A) Something(y) is not in the correct place is represented by;
∃y(¬P(y))
B) For All tools are in the correct place and are in excellent condition, let all tools in the correct place be P(y) and let all tools in excellent condition be Q(y).
Thus, we have;
∀y(P(y) ^ Q(y))
C) Similar to B above;
∀y(P(y) ^ Q(y))
D) For Nothing is in the correct place and is in excellent condition:
It can be expressed as;
¬∃y(P(y) ^ Q(y))
E) For One of your tools is not in the correct place, but it is in excellent condition:
It can be expressed as;
∃y(¬P(y) ^ Q(y))
7%of£40
show working out plz
Answer:
7% of 40 is 2.80
Step-by-step explanation:
0.07 x 40 = 2.8
Answer:
17.5%
Convert fraction (ratio) 7 / 40
then divide 7 by 40 and multiply by 100 and you get 17.5%
plz mark brainliest
f(x) =3x^2+8x-2 find f (-5)
please !! Show work if cannnn
Answer:
113
Step-by-step explanation:
f(x) =3x^2+8x-2
f(-5) = 3*5^2+8*5-2= 3*25+ 40-2 = 75 +40 -2 = 113
There are 3 cats in the room and no other creatures. Each cat has 2 ears, 4 paws, and 1 tail.
Answer:
ears to paws to tails,
which is 6 to 12 to 3.
4 paws to every tail.
2 paws to every ear.
Step-by-step explanation:
The ratio of ears, paws, and tail will be 6:12:3.There are 4 paws to every tail and 2 paws to every ear.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that,
Number of cats in room = 3
Each cat has 2 ears, 4 paws, and 1 tail.
If there are three cats total number of ears, paws, and tails will be three times the individual as 6,12, and 3.
As a result,
The ratio of ears, paws, and tail will be 6:12:3.
There are 4 paws to every tail.
There are 2 paws to every ear.
Thus, the ratio of ears, paws, and tail will be 6:12:3.There are 4 paws to every tail and 2 paws to every ear.
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Which transformation performed on triangle qrs will produce the image of triangle qrs
Answer: Translation
Step-by-step explanation:
A. a translation of 6 units to the right
B. a clockwise rotation of 90 degrees about the origin
C. a reflection over the x-axis
D. a reflection over the y-axis
7) Students at Somerset
were asked their favorite
sport. Ten students
indicated volleyball was their
favorite, 15 picked
basketball, 14 chose soccer,
and seven said football was
their favorite.
Answer:
what's the question in this question
Please help me solve all somebody respond fast please
there is no file inserted
edit the answer
Answer:
see attached
Step-by-step explanation:
If 49-X = 2, what does 7X equal?
Answer:
7x = 42
Step-by-step explanation:
This equation can be solved by isolating the variable.
Explanation:
To solve an equation like this, the first step is to isolate the variable. This means that we need to get x on one side of the equal sign by itself. This is the only way we can solve for x.
In this case, we isolate x by dividing both sides by seven.
Answer:
329Step-by-step explanation:
49 - X = 2
find: 7X
49 - X = 2
49 - 2 = X
X = 47
substitute X=47 into 7X
7X7 (47)329therefore, 7X = 329
If a pitcher throws 98 miles per hour, how fast do they throw in inches per minute?
Answer:
103288
Step-by-step explanation:
1 mile is equal to 63360 inches. 98 times 63360 is 6209280 inches per hour
divide by 60 to get 103288 inches per minute.
A fraction multiplied by its reciprocal has a product of
A student has a savings account with $475 in it.
She deposits $125 of her paycheck into the account
every week. Her goal is to save $7,000 for college.
Question: How much will be in the account after 3
weeks?
On a coordinate plane, a straight line with a positive slope begins at point (0, 50) and ends at point (5.5, 600).
Which scenario is most likely the one shown on the graph?
the total amount of money in the cash register, y, containing $50 in change and small bills and x $100 bills
the total number of puzzle pieces, y, in a brand new 50-piece puzzle, and x brand-new 100-piece puzzles
the total weight of the barbell, y, where the bar weighs 50 pounds and x 100-pound weights are added to it
the total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounc
The correct answer is option D, "The total Number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce."
Given that a straight line with a positive slope begins at point (0,50) and ends at point (5.5,600), we are required to identify which of the given scenarios is most likely shown on the graph. We will discuss each scenario and determine which one matches the given line on the coordinate plane.
Let us discuss each scenario one by one:
Scenario 1: The total amount of money in the cash register, y, containing $50 in change and small bills and x $100 bills.In this scenario, there are two variables - x and y, where x is the number of $100 bills in the cash register, and y is the total amount of money in the cash register. The initial value of y is $50 since it is already in the cash register.
However, we don't know the value of x. Therefore, we cannot form a linear equation using the two variables. Moreover, the graph of the equation will be a straight line, which will not match the given line on the coordinate plane. Therefore, this scenario is not the one shown on the graph.
Scenario 2: The total number of puzzle pieces, y, in a brand new 50-piece puzzle, and x brand-new 100-piece puzzles.In this scenario, there are two variables - x and y, where x is the number of 100-piece puzzles, and y is the total number of puzzle pieces. Again, we don't know the value of x.
Therefore, we cannot form a linear equation using the two variables. Moreover, the graph of the equation will be a straight line, which will not match the given line on the coordinate plane. Therefore, this scenario is not the one shown on the graph
.Scenario 3: The total weight of the barbell, y, where the bar weighs 50 pounds and x 100-pound weights are added to it.In this scenario, there are two variables - x and y, where x is the number of 100-pound weights added to the bar, and y is the total weight of the barbell. The initial value of y is 50 pounds, which is the weight of the barbell. However, we don't know the value of x. Therefore, we cannot form a linear equation using the two variables. Moreover, the graph of the equation will be a straight line, which will not match the given line on the coordinate plane. Therefore, this scenario is not the one shown on the graph.
Scenario 4: The total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce. In this scenario, there are two variables - x and y, where x is the number of ounces of salad dressing, and y is the total number of calories in the salad. The initial value of y is 50 calories, which is the calorie content of the vegetables.
The calorie content of salad dressing is given as 100 calories per ounce. Therefore, the equation that relates x and y is:y = 100x + 50This is a linear equation in two variables, and the graph of this equation will be a straight line. Let us verify if this equation matches the given line on the coordinate plane.
Using the two given points on the line, we can find the slope of the line. The slope of the line is given by:m = (y2 - y1) / (x2 - x1)m = (600 - 50) / (5.5 - 0)m = 550 / 5.5m = 100
Therefore, the equation of the line is:y - 50 = 100(x - 0)y = 100x + 50This is the same equation as we obtained earlier. Hence, we can conclude that this scenario is the one shown on the graph.
Therefore, the correct answer is option D, "The total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce."
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Which function is graphed below?
Answer:
f(x) = sin(x)
Step-by-step explanation:
The graph above is the exact parent graph of f(x) = sin(x).
f(x) = cos(x) would have an y-intercept of 1, and would not be correct.
The negative functions would be incorrect as it would be flipped.
6 plus 6 jkkjuuu jj jii yo uu
Answer:
12 :D
Step-by-step explanation:
Given f (x) = 6x + 100. Find f(-7) =?
Answer:
f(-7)= 58
Step-by-step explanation:
plug in -7 for x
f(-7)=6(-7)+100
f(-7)=-42 plus 1000
=58
What is the product in the expression 30m= n+58?
Answer: m=1/30n+29/15
Step-by-step explanation:
Answer:
if solving for m it is m= n+58/30
if solving for n it is n= 30m-58
Step-by-step explanation:
for m- divide both sides by 30 but keep it in fraction form for n+58
for n- subtract 58 from both sides to make it n=30m-58
The company estimated that they would sell 500 caps during the football season. They actually sold 575. Find the percent error. Round to the nearest tenth. I need this one fast
Answer:
13.1%
Step-by-step explanation:
The company estimated that there would be 500 a ps during the football season
The actually sold 575
Therefore the percent error can be calculated as follows
= 575-500/575 × 100
= 75/575 × 100
= 0.1304×100
= 13.1%
Hence the percent error is 13.1%
Given f(x) = -3x + 5, solve for x when f(x) =
- 4.
Answer:
x = 3
Step-by-step explanation:
Step 1: Define
f(x) = -3x + 5
f(x) = -4
Step 2: Substitute and Evaluate
-4 = -3x + 5
-9 = -3x
x = 3
Answer:
3 =x
Step-by-step explanation:
f(x) = -3x + 5
Let f(x) = -4
-4 = -3x+5
Subtract 5 from each side
-4-5 = -3x+5-5
-9 = -3x
Divide each side by -3
-9/-3 = -3x/-3
3 =x
4(4 -8n) -7n = -30 + 7n
Answer:
n=1
Step-by-step explanation:
Use the distributive property to multiply 4 by 4−8n.
16−32n−7n=−30+7n
Combine −32n and −7n to get −39n.
16−39n=−30+7n
Subtract 7n from both sides.
16−39n−7n=−30
Combine −39n and −7n to get −46n.
16−46n=−30
Subtract 16 from both sides.
−46n=−30−16
Subtract 16 from −30 to get −46.
−46n=−46
Divide both sides by −46.
n=−46/−46
Divide −46 by −46 to get 1.
n=1
Answer: n = 1
Step-by-step explanation:
Using the distributive law, multiply 4 by what's in the bracket.
(4)(4) -(8n)(4) -7n = -30 + 7n
16 -32n -7n = -30 + 7n
Group all like terms together. Once a (+ve) number goes over the equal sign it now becomes a (-ve) number, vise versa.
16 +30 = 32n + 7n + 7n
46 = 46n
Now we need to find for n. 46n can also be written as 46 multiply by n. When a multiplication sign goes over the equal sign, the sign changes to a division sign.
46 = 46n
46/46 = n
1 = n
