Answer: a's answer is 4096 and for the last question it is 243
Step-by-step explanation:
Answer:
4096243Step-by-step explanation:
Solving exponents
a) (4^3)^2 = 4^(3*2) = 4^6 = 4096b) 3^1 * 3^4 = 3^(1+4) = 3^5 = 243If Diana sends 290 text messages in 4 hours how many is, she sending in 1 hour?
Answer:
72
Step-by-step explanation:
A dance group from Round Rock High School is fundraising to travel to a competition. The competition entry fee is only $300 for the entire group, but plane tickets will cost $100 per students. If there are 30 students how much will each student have to fundraise?
Answer:
$30.00 i think?
Step-by-step explanation:
$100 x 30 = $30.00
2. A bicycle tire revolves at 120 rpm (revolutions per minute). What is its angular velocity, in radians per second, rounded to two decimal places? ✓✓
Rounded to two decimal places, the angular velocity of the bicycle tire is approximately 12.57 radians/second.
To convert the angular velocity from revolutions per minute (rpm) to radians per second, we need to use the conversion factor of 2π radians = 1 revolution and 60 seconds = 1 minute.
Given that the bicycle tire revolves at 120 rpm, we can calculate its angular velocity as follows:
Angular velocity = (120 rpm) * (2π radians/1 revolution) * (1 minute/60 seconds)
Simplifying the units, we have:
Angular velocity = (120 * 2π) * (1/60) radians/second
Calculating the value:
Angular velocity = (240π/60) radians/second
= 4π radians/second
Rounded to two decimal places, the angular velocity of the bicycle tire is approximately 12.57 radians/second.
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20.
Identify the vertex of the parabola.
A. (2, 7)
B. (4, 3)
C. (6, 7)
D. (3, 4)
Suppose that the price of a pair of shoes is $5 and the price of a box of tea is $3. What is the relative price of a pair of shoes? What is the relative price of a box of tea?
The relative price is a useful measure for comparing the prices of different products or services, especially in the context of consumer preferences and demand.
Relative price refers to the price of a particular product or service in relation to other goods or services in the market.
It is calculated as the ratio of the price of a given product or service to the price of a reference product or service, commonly referred to as a base good or service.
Let the price of a pair of shoes be $5 and the price of a box of tea be $3.
Then the relative price of a pair of shoes is given by:
Relative price of shoes = Price of shoes / Price of tea
= $5 / $3
= 1.67
Thus, the relative price of a pair of shoes is 1.67.
Similarly,
The relative price of a box of tea can be calculated as follows:
Relative price of tea = Price of tea / Price of shoes
= $3 / $5
= 0.6
Therefore, the relative price of a box of tea is 0.6.
This means that the price of tea is relatively cheaper than that of shoes, as its relative price is less than one.
The relative price of shoes is greater than one, which indicates that shoes are relatively more expensive than tea.
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Make x the subject:
Q1) 9y-5x = 4
Answer:
x = 9/5 y - 4/5
Step-by-step explanation:
Make x the subject:
9y - 5x =4
Subtract 9y from each side
9y-9y - 5x =-9y+4
-5x = -9y +4
Divide each side by -5
-5x/-5 = -9y/-5 + 4/-5
x = 9/5 y - 4/5
Answer:
x = (9/5)y - (4/5)
Step-by-step explanation:
Given equation,
→ 9y - 5x = 4
Solving for the required value of x,
→ 9y - 5x = 4
→ -5x = -9y + 4
→ x = (-9y + 4)/-5
→ [ x = (9/5)y - (4/5) ]
Hence, value of x = (9/5)y - (4/5).
if f(x)=x23 is an antiderivative of f(x), find ∫(4f(x)−5x3)dx.
The integral of \((4f(x) - 5x^3)\) dx is equal to\(2x^24 - (5/4)x^4 + C\), where C is the constant of integration.
Given that f(x) =x^23 is an antiderivative of f(x), we can find the integral of (4f(x) - 5x^3) dx as follows:
∫(4f(x) - \(5x^3\))dx
= ∫4(x^23 ) dx - ∫5(\(x^3\)) dx [using linearity of integration]
= 4∫(x^23) dx - 5∫ (\(x^3\)) dx
= 4(2x^24/4 + C1) - 5(\(x^4/4\) + C2) [using the power rule of integration]
= 2x^24 - \((5/4)x^4\) + C, where C = 4C1 - 5C2 is the constant of integration.
Therefore, the antiderivative of (4f(x) - \(5x^3)\) is 2x^24 - \((5/4)x^4\) + C. This means that if we differentiate 2x^24 -\((5/4)x^4\) + C with respect to x, we will get (4f(x) -\(5x^3\)). The constant of integration, C, is not uniquely determined by the given integral, and its value depends on the initial conditions of the problem.
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2. explain what is meant by (distribution) transparency and give examples of different types of transparency.
The phenomena of hiding distribution characteristics in a system from applications and users is known as distribution transparency. Access transparency, location transparency are some examples.
Define the term (distribution) transparency?Distributed databases have the attribute of distribution transparency, which keeps consumers from knowing the internal workings of the distribution.
The DDBMS designer has the option of replicating table fragments, storing them at several locations, and fragmenting tables.There are numerous distribution methods. Systems that need a wide range of management systems to pinpoint the source of resources, a product, or a service delivery process from the end user.Typically, the distributor, seller, or producer is responsible for maintaining transparency to track the many points at which resources, goods, or services are delivered.Accounting supplied by any intermediary company in the product, service, or resource flow is, of course, the usual approach to determine the degrees of value added through distribution management.Thus, access transparency, location transparency are some examples of the (distribution) transparency.
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Write the numerical expression that represents the following: 6 times the sum of 12 and 8
Answer:
12+8*6
Step-by-step explanation:
A mouse has made holes in opposite corners of a rectangular kitchen. Starting from its hole
in the northwest corner, the mouse scurries 20 feet along the length of the kitchen to reach a
piece of cheese in the southwest corner. Then the mouse scurries 15 feet along the width of
the kitchen to its other hole in the southeast corner. Finally the mouse scurries back to the
first hole. What is the total distance the mouse scurries?
Answer:
60 ft
Step-by-step explanation:
a² + b² = c²
20² + 15² = c²
c = √625
c = 25
total distance = 20 ft + 15 ft + 25 ft = 60 ft
What is a horizontal integration simple definition?
Using the business strategy of horizontal integration, a firm will buy out or combine with another business in its sector at the same stage of development.
Obtaining access to new goods, technology, or distribution routes, enables the acquiring firm to boost its market share and competitiveness.
Simply put, horizontal integration refers to the purchase or merger of rival businesses operating in the same sector. The objective is to lessen competition and boost economies of scale, which can result in greater effectiveness and financial success.
In sectors like retail, where huge chains may buy smaller rivals to broaden their geographic reach or product offers, horizontal integration is frequent.
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for a random sample of 64 iowa homes, average weekly food expenditure turns out to be $160, with a standard deviation of $64. let μ denote the mean weekly food expenditure for iowa families. find a 95% confidence interval for μ.
The 95% confidence interval for μ is approximately $144.32 to $175.68.
To find a 95% confidence interval for μ, we can use the formula:
Confidence interval = sample mean ± (critical value * standard error)
Step 1: Find the critical value for a 95% confidence level. Since the sample size is large (n > 30), we can use the z-distribution. The critical value for a 95% confidence level is approximately 1.96.
Step 2: Calculate the standard error using the formula:
Standard error = standard deviation / √sample size
Given that the standard deviation is $64 and the sample size is 64, the standard error is 64 / √64 = 8.
Step 3: Plug the values into the confidence interval formula:
Confidence interval = $160 ± (1.96 * 8)
Step 4: Calculate the upper and lower limits of the confidence interval:
Lower limit = $160 - (1.96 * 8)
Upper limit = $160 + (1.96 * 8)
Therefore, the 95% confidence interval for μ is approximately $144.32 to $175.68.
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What expression is equivalent to (x2 + 2x − 6) – (5x^2 + 2x − 8)?
A social networking site currently has 40,912 active members per month, but that figure is dropping by 5% with every month that passes. How many active members can the site expect to have in 10 months?
Answer:
24496
Step-by-step explanation:
40912 * (1-5%) ^10 = 24495.5
becuase they are humans, so round up to 24496
In how many ways can a judge award blue, red and yellow ribbons to 3 films at the same time if there are 10 films entered?
There are 120 different ways a judge can award blue, red, and yellow ribbons to 3 films out of the 10 films entered.
To find the number of ways a judge can award blue, red, and yellow ribbons to 3 films out of 10 films entered, we can use the concept of combinations.
Since the order of the ribbons doesn't matter, we can use the combination formula. The formula for combinations is given by: nCr = n! / (r! * (n-r)!), where n is the total number of items and r is the number of items to be selected.
In this case, we need to select 3 films out of 10, so n = 10 and r = 3. Plugging these values into the formula, we get:
10C3 = 10! / (3! * (10-3)!)
= 10! / (3! * 7!)
= (10 * 9 * 8) / (3 * 2 * 1)
= 120
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MATH GENUISES HELP ME OUT WITH MY QUESTIONS PLEASE!
Answer:
Equation: P=$2500+$120N
Total pay if Miguel sells 23 copies: $5260
2. How many solutions in the equation 3x + 5 = 3x + 10 *
1 point
One solution (Sometimes True)
Infinitely Many Solutions (Always True)
No solution (Never True)
Answer:
One solution
Step-by-step explanation:
Whats y=-4(x+1)^2-5 in standard form
Answer:
y = - 4 (x+ 1)^2 - 5 in standard form is
y = -4x^2 - 8x - 9
Answer:
4x^2 − 8x + 9
(Chapter 12) For any vectors u and v in V3, (u X v) * u =0
We can see that the statement is not always true for any vectors u and v in V3.
What are the cross product of vectors?The statement is not always true.
The cross product of vectors u and v in V3 is a vector that is orthogonal to both u and v. That is,
u x v ⊥ u and u x v ⊥ v
However, this does not necessarily mean that (u x v) * u = 0 for all u and v in V3.
For example, let u = <1, 0, 0> and v = <0, 1, 0>. Then,
u x v = <0, 0, 1>
(u x v) * u = <0, 0, 1> * <1, 0, 0> = 0
So in this case, the statement is true. However, consider the vectors u = <1, 1, 0> and v = <0, 1, 1>. Then,
u x v = <1, -1, 1>
(u x v) * u = <1, -1, 1> * <1, 1, 0> = 0
So in this case, the statement is also true. However, if we take the vector u = <1, 0, 0> and v = <0, 0, 1>, then
u x v = <0, 1, 0>
(u x v) * u = <0, 1, 0> * <1, 0, 0> = 0
So in this case, the statement is true as well.
However, if we take the vector u = <1, 1, 1> and v = <0, 1, 0>, then
u x v = <1, 0, 1>
(u x v) * u = <1, 0, 1> * <1, 1, 1> = 2
So in this case, the statement is not true.
Therefore, we can see that the statement is not always true for any vectors u and v in V3.
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=
A
C
F
xº
E
G
80°
160°
D
B
The value of angle ∠AEF or ∠x is 80°.
What are angles?When two straight lines or rays intersect at a common endpoint, an angle is formed. An angle's vertex is the common point of contact. The term angle is derived from the Latin word angulus, which means "corner." The basic angles are Acute angle, Obtuse angle, Right angle, Straight angle, reflex angle, and full rotation.So,
∠CEB is 160° with EG being an angle bisector leaving ∠CEG = 80° and ∠BEG = 80°FEG is a straight line with ∠FEG being 180°.∠FED + ∠DEB + ∠BEG = ∠FEG80° + ∠DEB + 80° = 180°160° + ∠DEB = 180°∠DEB = 180° - 160°∠DEB = 20°Then,
∠AEC = 20° = ∠DEB (Inversely opposite angles)Now,
FEG is a straight line with ∠FEG being 180°.∠CEG + ∠AEC + ∠AEF = ∠FEG80° + 20° + ∠AEF = 180°100° + x = 180°x = 180° - 100°x = 80°∠AEF = 80°Therefore, the value of angle ∠AEF or ∠x is 80°.
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What is the slope of the line that contains the points in the table
Answer:
The answer is A-4
Step-by-step explanation:
subtract 17 from 9
9-17=-8
Subtract 0 from -2
0--2=2
divide -8 by 2
-8÷2=-4
Tickets to the school musical are $5.00 for adults and $2.50 for students. If the total value of the tickets sold was $687.50 and 50 more students
bought tickets than adults, how many adults and students bought tickets?
Answer:
Your answers should be a = 135 adult tickets and s = 186 student tickets.
Step-by-step explanation:
1. Solving for variable s by manipulating variable a:
a + s = 321
a = 321 - s (subtract s to the other side to get a by itself)
$3.50(321-s) + $2.50s = $937.50 (substitution from step 2)
$1123.50 - $3.50s + $2.50s = $937.50 (distributive property)
$1123.50 - $1.50s = $937.50 (combine like terms)
-$1.00s = -$186 (subtraction property of equality)
s = 186 student tickets.
2. Solving for variable a by manipulating variable s:
a + s = 321
s = 321 - a
$3.50a + $2.50(321-a) = $937.50
$3.50a + $802.50 - $2.50 a = $937.50
$1.00a = $135
a = 135 adult tickets.
If you plug both numbers into the original equations, they should come out to be true equations. 135 + 186 = 321 and $472.5 + $465 = $937.5, so these two numbers are your answers for a and s accordingly.
Using the elimination method, we need to eliminate one of the variables by a process of subtraction or addition depending on the case. We can use multiplication or division before eliminating in order to eliminate.
a + s = 321
3.50a + 3.50s = 1123.50 (multiply entire equation by 3.50 in order to eliminate variable a by subtraction)
Now, we can use elimination:
3.50a + 3.50s = 1123.50
3.50a + 2.50s = 937.50
0a + 1s = 186, or s = 186 student tickets.
The same process can be used to solve for variable a. Your answers should be a = 135 adult tickets and s = 186 student tickets.
a rectangle is drawn so the width is 4 inches longer than the height. if the rectangle's diagonal measurement is 56 inches, find the height. give your answer rounded to 1 decimal place
We have the height of the rectangle equal to h = 37.5 inches.
A rectangle is actually about a right triangle. We can use the Pythagorean theorem to generate an expression to find the height of the rectangle.
We know that:
\(c^2=a^2+b^2\) so replacing it with the width and length of the rectangle, we get :
\(c^2=h^2+w^2\)
We were not given values for the width and length, just their relationship to each other, and we can use that to find an equation in the variable h:
So, \(c^2=h^2+w^2\)
\((56)^2=h^2+(h+4)^2\)
\(3136=h^2+h^2+8h+16\)
\(0=2h^2+8h+16-3136\)
\(0=2h^2+8h-3,120\)
Since we cannot factor this, we can use the quadratic formula to solve for the height h, where, a = 2 , b = 8, c = -3,120
h = (-b ±\(\sqrt{b^2-4ac}\)) /2a
Now, Plug all the values:
h = (-8 ± \(\sqrt{8^2-4(2)(-3120)})/4\))
h = -8 ± \(\sqrt{64+24,960}/4\)
h =( -8 ± \(\sqrt{25,024})/4\)
h = (-8 ± 158.180)/4
There are two possible solutions, so we have:
\(h_1=\frac{-8+158.180}{4}\) \(h_2=\frac{-8-158.180}{4}\)
\(h_1 = 37.545\) \(h_2=-41.545\)
\(h_1\) ≈ 37.5 in. \(h_2\) ≈ -41.5 in.
We cannot use \(h_2\) because a negative height is absurd and undefined. Thus, we have the height of the rectangle equal to h = 37.5 inches.
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13. What is h( 2/3 )? 17 points Use /(x) = - 3*+ 11, 8(x) = 22-7x, and h(x) = 15 - 9x1 to evaluate each function.
h(x) = l15 - 9xl
h(2/3)
We have to replace the value x=2/3 in the function:
h(2/3)= l 15 - 9(2/3) l
h(2/3)= l 15 - 18/3 l
h(2/3)= l 15- 6 l
h (2/3)= l 9 l
h(2/3)= 9
help me please algebra 1.
20 points.
The equations are defined as follows:
A(t) = 4t + 38.B(t) = 8t + 22.The two trees will have the same height after four years.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when the graph touches/crosses the y-axis.The parameters for this problem are defined as follows:
Slope: yearly change in the height.Intercept: initial height.Hence the equations are given as follows:
A(t) = 4t + 38.B(t) = 8t + 22.The trees will have the same height when:
A(t) = B(t)
Hence:
4t + 38 = 8t + 22
4t = 16
t = 16/4
t = 4 years.
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A grizzly bear’s top speed is about 36 mph. This speed makes the bear about 1 1/2 times as fast as an African elephant.What is the top speed of an African elephant? (Sorry you cant see answer D, Its "An African elephant can reach a top speed of about 24 mph because 36 ÷ 3/2 = 24")
Answer: D. 'An African elephant can reach a top speed of about 24 mph because 36 ÷ 3/2 = 24'
Step-by-step explanation:
\(1\frac{1}{2} =\frac{3}{2}\)
This means the grizzly bear is 3/2 times faster than the elephant
it also means the african elephant's speed would be 2/3 that
therefore,
\(36 / \frac{3}{2}=36*\frac{2}{3}=\frac{72}{3}\)
⇒ 24
So, the speed of an African elephant is 24 mph
Answer:
Option D
Step-by-step explanation:
Based on the question we know that :
36 = x × 1 1/2
To make x the subject we divide both sides by 1 1/2 or 3/2 :
36 ÷ 3/2 = x
x = 24
Therefore our answer is Option D
Hope this helped and have a good day
Help help plsss urgent
Mr. Lambert charged a customer $180 for 4.5 hours of work. At this
rate, what would Mr. Lambert charge for 1 hour of work?
180 divided by 4.5 is 40. Therefore, your answer is 40! (Brainliest would be appreciated :D)
what is the sum of 2+5=
Answer: 7
Step-by-step explanation: 5 + 1 + 1 = 7 .
Answer:
7
Step-by-step explanation:
2+5=7, Correct me If I'm wrong. •-•
According to a gallup poll, 75% of the countries who scored the highest on the positive experiences index were in south america. suppose you randomly select 8 countries off the highest scores on the positive experiences index. what is the probability that...
The probability that all 8 countries randomly selected off the highest scores on the positive experiences index are from South America is very low.
According to the given information, 75% of the countries with the highest scores on the positive experiences index are from South America. However, it is not specified how many countries are on the highest scores list. Therefore, we cannot calculate the exact probability of randomly selecting all 8 countries from South America.
Let's assume that there are 20 countries on the highest scores list. If 75% of them are from South America, that means there are 15 countries from South America and 5 countries from other regions.
To calculate the probability of randomly selecting 8 countries from the list and all of them being from South America, we can use the formula for probability of multiple events occurring together: P(A and B) = P(A) x P(B|A)
Let A be the event of the first country selected being from South America. The probability of this event is 15/20 or 0.75.
Let B be the event of the second country selected being from South America, given that the first country selected was from South America. The probability of this event is 14/19 because there are now 14 South American countries left out of 19 total countries.
Using the formula above, the probability of both A and B occurring together is P(A and B) = P(A) x P(B|A) = 0.75 x 14/19 = 0.553
We can continue this process for the remaining countries, but the probability of all 8 countries selected being from South America is very low because the probability of each subsequent event decreases as there are fewer South American countries left to choose from.
Therefore, the probability that all 8 countries randomly selected off the highest scores on the positive experiences index are from South America is very low.
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Find the equation of Y+9=13
Answer:
Y = 4
Step-by-step explanation:
Y = 13 - 9Y = 4that's all