Luke plays a computer game where he manages a city
Answer: nice! What’s the game I’ll try it out if this was a question... How..... I have no idea what game he plays- wait is it ro blox? Nvm
Inequalities - Introduction
Answer:
n = 19
Step-by-step explanation:
2n > 36 ( divide both sides by 2 )
n > 18
and
5n < 100 ( divide both sides by 5 )
n < 20
so n > 18 and n < 20
thus n = 19
Calvin practiced converting standard notation to scientific notation by completing the 10 problems
in the table shown. Unfortunately, his teacher noticed Calvin made mistakes on 7 out of the 10
problems. Find his mistakes and correct them in the second table below.
STANDARD NOTATION
SCIENTIFIC NOTATION
1) 76,450,000
7.645 x 10
2) 0.000327
3.27 x 104
3) 34,000
3.4 x 104
4) 116,000,000,000
1.16 x 10°
5) 0.024
24 x 10
6) 2,800
2.8 x 10
7) 100
1 x 10
8 0.0000099
9.9 x 10
9 C00,000
9 x 10
10) 0.00635
63.3 x 10
I
Answer/Step-by-step explanation:
The 7 problems Calvin made mistakes in are as follows:
1. 76,450,000
We are moving the decimal point to our left by 7 decimal places. Therefore, the exponent of 10 should be 7 not 8.
The correct scientific notation = \( 7.645*10^7 \)
2. 0.000327
We move the decimal point to our right by 4 decimal places. Since we are counting to our right, the exponent of 10 should be -4 not 4.
The correct scientific notation = \( 3.27*10^{-4} \)
4. 116,000,000,000
Number of decimal places moved to our left = 11
The exponent of 10 should be 11 not 9.
The correct scientific notation = \( 1.16*10^11 \)
5. 0.024
Number of decimal places moved to our right = 2
Since we are moving to our right, exponent of 10 = -2.
Calvin made a mistake here by not placing a decimal point in the first number after the last 0 to our right.
The correct scientific notation = \( 2.4*10^{-2} \)
7. 100
There are just 2 zeros.
Therefore, the exponent of 10 = 2 not 3.
correct scientific notation = \( 10^2 \)
9. 900,000
Number of decimal places moved to our left = 5
Since we are moving to the left, the exponent of 10 = 5 not -5
The correct scientific notation = \( 9*10^5 \)
10. 0.00633
Number of decimal places moved to our right = 3
The exponent of 10 = -3
Calvin made a mistake by wrongly placing the decimal point.
The correct scientific notation = \( 6.33*10^{-3} \)
Write the sum of the given geometric series as a rational number.
0.8 + 0.08 + 0.008 + 0.0008 + ...
The rational number is:________.
(Simplify your answer. Type an integer or a fraction.)
Answer:
\(\frac{8}{9}\)
Step-by-step explanation:
Given
Series: 0.8 + 0.08 + 0.008 + 0.0008 + ...
Required
Determine a rational number to represent the series
To do this, we simply get the sum to infinity of the series;
This is done as follows;
\(S = \frac{a}{1 - r}\)
Where a represent the first term
\(a = 0.8\)
r represent the common ratio
\(r = \frac{0.08}{0.8}\)
\(r = 0.1\)
Substitute these values in the above formula
\(S = \frac{0.8}{1 - 0.1}\)
\(S = \frac{0.8}{0.9}\)
Multiply the numerator and denominator by 10
\(S = \frac{8}{9}\)
Hence;
The number is \(\frac{8}{9}\)
Need help answering question 5
Answer:
Step-by-step explanation:
The weight of a bag of Brand A cookies is labeled as 3 ounces on the bag. However, the actual weights of the bags vary by a small amount. According to the packaging specifications, the weights are approximately normally distributed with a mean of 3.05 ounces and a standard deviation of 0.06 ounce. Select the number to complete the sentence. According to the specifications, approximately percent of the bags weigh 3.00 ounces or more
Using the normal distribution, it is found that approximately 79.67% of the bags weigh 3.00 ounces or more.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
\(\mu = 3.05, \sigma = 0.06\)
The proportion of the bags that weigh 3.00 ounces or more is one subtracted by the p-value of Z when X = 3, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{3 - 3.05}{0.06}\)
Z = -0.83
Z = -0.83 has a p-value of 0.2033.
1 - 0.2033 = 0.7967 = 79.67%.
79.67% of the bags weigh 3.00 ounces or more.
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5
Σ2n + 1 1
N=1
Please help!
Answer:
The series is convergent and: ∞∑n=12nn!=e2−1. Explanation: The ratio test states that a sufficient condition for a series: ∞∑n=0an.
Step-by-step explanation:
hope i helped
Identify which sequence of transformations could map
pentagon ABCDE onto pentagon A'B'C'D"E", as shown below.
B
D
A
E
A
ES
B
D
1) line reflection followed by a translation
0
2) translation followed by a rotation
3) dilation followed by a rotation
4) line reflection followed by a line reflection
Answer:
can you ask the qustion better plz
Step-by-step explanation:
_______3. Given that the r = 4 and n° = 80°, find the exact area of the shaded sector.
Okay, here we have this:
Considering the provided circle and information, we are going to calculate the requested area of the shaded sector, so we obtain the following:
Then we will substitute in the following formula:
Sector Area = r² × θ × π / 360
Replacinig:
Sector Area = (4 units)² × 80° × π / 360
Sector Area = 16 units² × 80° × π / 360
Sector Area = 11.17 units²
Finally we obtain that the sector area is approximately 11.17 units^2.
-5/2x-3 is less than or equal to 2 what is the solution.
Answer: 1/4≤x
Step-by-step explanation:
-5/(2x-3)≤2
Multiply by (2x-3)
-5≤4x-6
Add 6
1≤4x
1/4≤x
Hope it helps <3
Answer:
\(x \geq 1/4\)
Step-by-step explanation:
=> \(\frac{-5}{2x-3} \leq 2\)
Multiplying both sides by (2x-3)
=> \(-5 \leq 2(2x-3)\)
=> \(-5 \leq 4x-6\)
Adding 6 to both sides
=> \(-5+6 \leq 4x\)
=> \(4x\geq 1\)
Dividing both sides by 4
=> \(x \geq 1/4\)
In March it rained 8.23 inches. It rained 5.96 inches less in April than in March.
How much did it rain in April?
Use implicit differentiation to find dy/dx and d^2y/dx^2.
Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.
Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.
Given the equation x² + xy + y² = 5,
we can differentiate both sides with respect to x using the chain rule as follows:
2x + (x(dy/dx) + y) + 2y(dy/dx) = 0
Simplifying this equation yields:
(x + 2y)dy/dx = -(2x + y)
Hence, dy/dx = -(2x + y)/(x + 2y)
Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.
That is:
d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))
= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))
Simplifying this equation yields:
d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³
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What is the opposite of dividing by 19? A. multiplying by 19 B. subtracting 19 C. dividing by 19 D. adding 19
Cierto turista contrata un paquete de viaje internacional a un costo
de 720 dólares, pero también recibe la información, que si desea
tours extras a los que contiene su paquete de viaje le costará 35
dólares por cada tour adicional. Determinar ¿Cuál es la función de
inversión del turista?
The tourist's investment function can be expressed as follows:
f(x) = 720 + 35x
According the question,
The tourist's investment function can be expressed as follows:
f(x) = 720 + 35x
Where x represents the quantity of additional tours that the tourist wants to add to their travel package.
The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.
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Each person at a
baseball game receives 3 raffle tickets
and a $2 certificate for the team store.
A group of people receives 39 raffle
tickets. How much money in certificates
does the group receive?
In a case whereby baseball game receives 3 raffle tickets and a $2 certificate for the team store. A group of people receives 39 raffle tickets the amount of money in certificates the group receive is $26.
How can this be calculated?If one baseball game receives 3 raffle tickets and a $2 certificate for the team store, then we can say that each raffle ticket is worth 2/3 dollars ($2 divided by 3 tickets).
So, for 39 raffle tickets, the group would receive (39 x 2/3) = $26
Therefore, the amount of money in certificates the group receive is $26
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What is the image of the point (-9, -1) after a rotation of 270° counterclockwise
about the origin?
Answer:
(1,-9)
Step-by-step explanation:
During rotation anytime you rotate the figures the arrangement will change and also since you are rotating to 270 counter-clockwise(anti-clockwise)your answer will be (1,-9)
Answer: The correct answer is -1,9
Step-by-step explanation:
270 rule - (x, y) ⇒ (y, -x)
(-9, -1) ⇒ (-1, 9)
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 4 kg, the acceleration of the object is 9 m/s². When the same force acts upon another object, its acceleration is 6 m/s². What is the mass of this
object?
Step-by-step explanation:
a = k/m or ma = k
using 4 and 9 4* 9 = k = 36
then the equation becomes:
ma = 36
using a = 6
6 * m = 36 shows m = 6 kg
find the value of the trigonometric ratio. make sure to simplify the fraction if needed.
Answer:
36/39
Step-by-step explanation:
Cos(theta) = Base/Hypotenuse
Cos(X) = 36/39
grace thought of a number, added 7, multiflied by 3, took away 5 and divided by 4 to give an answer of 7
Answer:
Step-by-step explanation:
To find the number that Grace thought:
We'll represent the unknown number as "x."
"Added 7": This can be represented as (x + 7).
"Multiplied by 3": This becomes 3 * (x + 7).
"Took away 5": This is represented as 3 * (x + 7) - 5.
"Divided by 4": This gives (3 * (x + 7) - 5) / 4.
"To give an answer of 7": The equation is (3 * (x + 7) - 5) / 4 = 7.
Now we can solve for x:
(3 * (x + 7) - 5) / 4 = 7
Multiply both sides by 4 to eliminate the denominator:
3 * (x + 7) - 5 = 28
Simplify the left side:
3x + 21 - 5 = 28
Combine like terms:
3x + 16 = 28
Subtract 16 from both sides:
3x = 12
Divide both sides by 3:
x = 4
Therefore, the number that Grace thought of is 4.
Determine a possible 3rd degree polynomial function in factored form with its only zeros at (4,0) and (-1,0) and (-7,0)
You obtain a 60-day note from a bank for $5200. The loan takes place on November 20, and the costs include $73.38 for interest and $29.12 in other charges. How much, in dollars, is due at the end of 60 days?
Answer:=102.5
Step-by-step explanation:
You enter an elevator on the ground floor, which is labeled 0. You get off on the floor labeled +4. What is your location?
A four floors above the ground floor
B. four floors below the ground floor
C. four floors near the ground floor
D. four floors around the ground floor
Answer:
A. four floors above the ground floor
Step-by-step explanation:
if you start at 0 which is the ground floor and go up 4, that would be +4, since, in theory, going up would be considered positive. So the answer is A.
Solve for the indicated variable.
w=x + y/z for y
Answer:
z(w-x) =y
Step-by-step explanation:
w=x + y/z
Subtract x from each side
w-x=x-x + y/z
w-x = y/z
Multiply each side by z
z(w-x) = y/z *z
z(w-x) =y
(p^2n^1/2)^0
√ p^5n^4 equivalent to p^18n^6 √p?
The two expressions are not equivalent.
To simplify the expression (p^2n^1/2)^0 √ p^5n^4, we first need to understand the properties of exponents and radicals.
Recall that any number raised to the power of zero is equal to 1, so (p^2n^1/2)^0 = 1.
Next, we can simplify the radical term by multiplying the exponents inside and outside the radical:
√ p^5n^4 =
(p^5n^4)^(1/2)
= p^(5/2)n^(4/2)
= p^(5/2)n^2
Combining this result with the previous step, we have:
(p^2n^1/2)^0 √ p^5n^4
= 1 * p^(5/2)n^2
= p^(5/2)n^2
This is not equivalent to p^18n^6 √p. In fact, p^(5/2)n^2 cannot be simplified any further without additional information about the expression. ,
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2) Ted invests $6,750 in a savings account
with a fixed annual interest rate of 6%
compounded semi-annually. What will
the account balance be after 10 years?
Given the conditional statement ~p → q, which statement is logically equivalent?
p → ~q
~p → ~q
~q → ~p
~q → p
Answer:
~q → pStep-by-step explanation:
Given the conditional statement ~p → q, the statement logically equivalent is ~q → p.
caculate the following multiplication
\(67 \times 12\)
Answer:
804
Step-by-step explanation:
Just use a calculator.
A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 1444 in3. How big a piece of cardboard is needed
Answer:
\(C=27inch\ by\ 27inch\)
Step-by-step explanation:
Squares \(h=4inch\)
Volume \(v=1444in^3\)
Generally the equation for Volume of box is mathematically given by
\(V=l^2h\)
\(1444=l^2*4\)
\(l^2=361\)
\(l=19in\)
Since
Length of cardboard is
\(l_c=19+4+4\)
\(l_c=27in\)
Therefore
Dimensions of the piece of cardboard is
\(C=27inch\ by\ 27inch\)
Six players compete player plays exactly two games against every other players .in each games the wining players earns 2 points and the losing players ears 0 points if the games results in a draw(tie)each players earns 1 points .what is the minimum possible number of points that a players needs to earn in order to guarantee that he/she has more points that every other player?
The minimum number of points the target player needs is 5n - 5.
To guarantee that a player has more points than every other player, we need to find the minimum possible number of points that guarantees this condition.
Let's analyze the situation. Each player plays exactly two games against every other player. If there are a total of n players, then each player plays (n - 1) games.
In each game, the winning player earns 2 points, the losing player earns 0 points, and a draw (tie) earns each player 1 point.
To minimize the number of points needed, we can assume that all the other players win their games against the target player and the target player draws (ties) all their games.
So, if there are (n - 1) players besides the target player, each winning both of their games, they would earn a maximum of 2 * (n - 1) * 2 points. The target player, assuming they draw all their games, would earn (n - 1) * 1 points.
Therefore, the minimum number of points the target player needs to guarantee they have more points than every other player is:
Minimum points = 2 * (n - 1) * 2 + (n - 1) * 1
= 4n - 4 + n - 1
= 5n - 5
So, the minimum number of points the target player needs is 5n - 5.
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What is the range of the function? f(x)=3^x−1−2
The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is y > -2
Calculating the range of the equation?From the question, we have the following parameters that can be used in our computation:
f(x) = 3ˣ ⁻ ¹ - 2
The above equation is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbersHowever, the range is always greater than the constant termIn this case, it is -2
So, the range is y > -2
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