Answer:
n = 3
Step-by-step explanation:
We use log to find n.
log₂(8) = 3
2³ = 8
Answer:
n = 3
Step-by-step explanation:
2^n = 8
log(2^n) = log(8)
n * log(2) = log(8)
n = log(8)/log(2)
n = 3
Best of Luck!
In a standard deck of 52 cards, there are four kings and this .... cards are not kings.
What is the mean of this sample, which consists of 10 values randomly selected from the table?
Mean = 7 + 100 + 1 + 3 + 7 + 10 + 15 + 12 + 17 + 38
----------------------------------------------------------
10
The mean of the third sample is_______.
Answer:
21
Step-by-step explanation:
To find the mean, add the values and divide by the number of values
(7 + 100 + 1 + 3 + 7 + 10 + 15 + 12 + 17 + 38)/10
210/10
21
The mean is 21
Answer:
21
Step-by-step explanation:
BELIEVE MEEE
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
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.
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
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
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%
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))
A fraction multiplied by its reciprocal has a product of
Given right triangle � � � ABC with altitude � � ‾ BD drawn to hypotenuse � � ‾ AC . If � � = 22 AD=22 and � � = 15 , DC=15, what is the length of � � ‾ BD in simplest radical form?
The length of BD is 18.5 units.
In the given right triangle ABC, with altitude BD drawn to hypotenuse AC, we are given the lengths AD = 22 and DC = 15. We need to find the length of BD.
Let's consider triangle ABD. Since BD is the altitude, it divides the right triangle ABC into two smaller right triangles: ABD and CBD.
In triangle ABD, we have the following sides:
AB = AD = 22 (given)
BD = ?
Now, let's consider triangle CBD. In this triangle, we have the following sides:
BC = DC = 15 (given)
BD = ?
Since triangles ABD and CBD share the same base BD, and their heights are the same (BD), we can say that the areas of these triangles are equal.
The area of triangle ABD can be calculated as:
Area(ABD) = (1/2) * AB * BD
Similarly, the area of triangle CBD can be calculated as:
Area(CBD) = (1/2) * BC * BD
Since the areas of ABD and CBD are equal, we can equate their expressions:
(1/2) * AB * BD = (1/2) * BC * BD
We can cancel out the common factor (1/2) and solve for BD:
AB * BD = BC * BD
Dividing both sides of the equation by BD (assuming BD ≠ 0), we get:
AB = BC
In triangle ABC, the lengths AB and BC are equal, which implies that triangle ABC is an isosceles right triangle. In an isosceles right triangle, the leg's length are congruent, so AB = BC = AD = DC.
BD is equal to half of the hypotenuse AC:
BD = (1/2) * AC
Substituting the given values, we have:
BD = (1/2) * (AD + DC) = (1/2) * (22 + 15) = (1/2) * 37 = 18.5
Therefore, the length of BD is 18.5 units.
For more questions on length
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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 set of transformations has been performed on triangle pqr to form triangle p’q’r’
Answer:
Dilation by a scale factor of fraction 1 over 2 followed by reflection about the x-axis.
Step-by-step explanation:
We are given to select the set of transformations that has been performed on triangle PQR to form triangle P'Q'R'.
From the graph, we note that
the co-ordinates of the vertices of triangle PQR are P(-4, 2), Q(0, 0) and R(2, 6).And, the co-ordinates of the vertices of triangle P'QR' are P'(-2, -1), Q'(0, 0) and R'(1, -3).
Let the dilation factor applied on triangle PQR to form triangle P'Q'R' be represented by d.
Then, we observe that
1/2 × P(-4,2)=(-2,1),
1/2 × Q(0,0)=(0,0),
1/2 × R(2,6)=(1,3).
So, the value of d will be
d = 1/2.
Again, to arrive at the vertices of triangle P'Q'R', we need to change the sign before the y co-ordinates ((x, y) ⇒ (x, -y)) of each new vertex hat we found after dilation.
That is.(-2, 1) ⇒ P'(-2, -1),
(0, 0) ⇒ Q'(0, 0),
(1, 3) ⇒ R'(1, -3).
This is reflection over X-axis.
Therefore, the set of transformation is given by
Dilation by a scale factor of fraction 1 over 2 followed by reflection about the x-axis.
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
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
square sandbox has an area of 75 square feet what is the estimate of the length of one side
Answer:
8.66 feet
Step-by-step explanation:
I typed it into google XD
Which fraction has the lowest value?
-1
0
1
cols color colo
3
8
Answer:
- 1/8 im pretty sure
Step-by-step explanation:
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
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.
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:
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?
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
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
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°
what is the slope of the line that passes through the points (4,7) and (5,8)
Answer:
2.1
Step-by-step explanation:
Josie bought 4 cases of sports drinks for an upcoming meet. After talking to her coach, she bought 3 more cases and spent an additional $6.95 on other items. Her receipts totaled $74.15. Write and solve an equation to find how much each case of sports drinks cost.
Answer
$9.60.
Step-by-step explanation:
Let x be the cost of one case of the sport drink.
7x+6.95=74.15
Solve for x
7x=67.20
x=9.60
The cost of each case of sports drink costs $9.60.
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.
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
Does anybody know the answer please if you do give it please
-7x + 17y
(-2x + 10y) - (5x - 7y)
-2x + 10y - 5x + 7
-7x + 17y
What is the expanded form of 242,628
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
