Answer:
Around 5 tablespoons or to be exact: 5.333333333333333
solve for x by writing the logarithm in exponential form
log3(3^4)=x
Step-by-step explanation:
log3(3^4) = x.
=> 3^x = 3^4
=> x = 4.
If a person places their phone number on the do-not-call registry, how many years does it stay on the list before it is eligible again for cold calling
When an individual places their phone number on the Do Not Call (DNC) Registry, it remains there permanently, and telemarketers are prohibited from making unsolicited calls to that number until the individual requests to be removed from the list.
When an individual places their phone number on the Do Not Call (DNC) Registry, it remains there permanently, and telemarketers are prohibited from making unsolicited calls to that number until the individual requests to be removed from the list. This list is managed by the Federal Trade Commission (FTC), which enforces the Telephone Consumer Protection Act (TCPA) in the United States. If someone's phone number is on the DNC registry, the registry rules apply indefinitely. This means that even if the individual's phone number is still listed after a period of time, telemarketers are prohibited from calling that number. If the individual wishes to receive telemarketing calls again, they must remove their phone number from the list by dialing the DNC registry's phone number, which is 1-888-382-1222. The process of removing a phone number from the list is a simple one. Dial the number on your phone, and then follow the instructions that the voice prompt gives you. Furthermore, it is important to know that calls from organizations that you have given permission to call you are still allowed even if your number is on the DNC registry.
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in isosceles triangle ABC,AB=AC.If B=55,calculate A
The measure of angle A in the isosceles triangle ABC is 62.5 degrees.
In an isosceles triangle ABC, where AB = AC, we are given that angle B (denoted as ∠B) measures 55 degrees. We need to calculate the measure of angle A (denoted as ∠A).
Since AB = AC, we know that angles A and C are congruent (denoted as ∠A ≅ ∠C). In an isosceles triangle, the base angles (the angles opposite the equal sides) are congruent.
Therefore, we have:
∠A ≅ ∠C
Also, the sum of the angles in a triangle is always 180 degrees. Hence, we can write:
∠A + ∠B + ∠C = 180
Substituting the given values:
∠A + 55 + ∠A = 180
Combining like terms:
2∠A + 55 = 180
Subtracting 55 from both sides:
2∠A = 180 - 55
2∠A = 125
Dividing by 2:
∠A = 125 / 2
∠A = 62.5
Therefore, the measure of angle A in the isosceles triangle ABC is 62.5 degrees.
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You buy 4 snacks and a drink. The snacks cost $1.40 each. You pay with a $10 bill and receive $1.65 in change. How much does the drink cost?
The drink costs $2.75.
We have,
The cost of 4 snacks.
= $1.40 × 4
= $5.60.
Let's call the cost of the drink "d".
The total cost of snacks and a drink.
= $5.60 + d.
You pay with a $10 bill, so the equation is:
$10 = $5.60 + d + $1.65
We can simplify this equation by combining like terms:
$10 = $7.25 + d
To solve for "d", we can isolate it on one side of the equation by subtracting $7.25 from both sides:
$d = $10 - $7.25
d = $2.75
Thus,
The drink costs $2.75.
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What is the equation of the line that passes through the point (2,-5) and is perpendicular to the line y = -2x + 1? A y = 2x - 1 B y = -x-4 C y = { x - 4 D y = į x-6
Answer:
sorry
Step-by-step explanation:
im so sorry
number 7 please and don t care abt others lol
Answer:
The question does not make a lot of sense to me but I think this is how its supposed to be done
so there are 15 shirts
2 are sold at 3.90, 2 x 3.90 = 7.8
15-2= 13 t shirts
13 sold at 4.70, 13 x 4.70 = 61.1
amount of money made is = 7.8 + 61.1
= 68.9
Help me with this please
Answer:
x = 2 and y = 3
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
3x + 2(0) = 6
3x + 0 = 6
3x = 6 ( divide both sides by 3 )
x = 2 ← x- intercept
To find the y- intercept, let x = 0 in the equation and solve for y
3(0) + 2y = 6
0 + 2y = 6
2y = 6 ( divide both sides by 2 )
y = 3 ← y- intercept
Suppose that as a consumer you have $34 per month to spend for entertainment, either on movies which cost $6 each or on ice cream which cost $4 each. Placing movies on the vertical axis and ice cream on the horizontal axis, what is the intercept of the vertical axis of the budget constraint
The intercept of the vertical axis, representing the number of movies, is 5.
To determine the intercept of the vertical axis of the budget constraint, we need to find the maximum number of movies you can purchase with your monthly budget of $34.
Since each movie costs $6, we can divide the total budget by the cost of each movie to find the maximum number of movies you can afford:
$34 / $6 = 5.67
Since you cannot purchase a fraction of a movie, the maximum number of movies you can buy is 5.
Therefore, the intercept of the vertical axis, representing the number of movies, is 5.
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i need help with this
Answer: -4 < x \(\leq\) 3
Step-by-step explanation:
Move all terms not containing x from the center section of the inequality.
A grocer makes a display of cans in which the top row has one can and each lower row has two more cans than the row above it. If the display contains $100$ cans, how many rows does it contain
A grocer makes a display of cans in which there are 10 rows.
The top row has one can and each lower row has two more cans than the row above it.
We can write it as sequence:
1, 3, 5, 7, . . .
We can observe that it's an arithmetic sequence: 1, 3, 5, 7, . . . , 2n-1
We know that the formula for the sum of n-terms of arithmetic sequence:
S(n) = (n/2)(1 + 2n-1)
Here, Sn = 100
So, (n/2)[1 + 2n-1] = 100
n(1 + 2n + 1)
n(2n) = 200
2n^2 = 200
n^2 = 100
n = 10
Hence, the number of rows = 10
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A fitness club charges members an initial fee and a separate monthly membership fee. The equation of the function given models the total fee, f(x), in dollars, that a person pays for x months of membership.
f(x)=30x+25
What does the number 30 represent in this situation?
The number 30 represents that the fitness club charges members a separate monthly membership fee of $30.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables
Let f(x) represent the total fee that a person pays for x months of membership. Hence:
f(x) = 30x + 25
The number 30 represents that the fitness club charges members a separate monthly membership fee of $30.
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which system of linear inequalities is represented by this graphed solution?
A. y > -1/2x + 2
y ≤ 3x - 1
B. y < -1/2x + 2
y ≥ 3x - 1
C. y > -2x + 2
y ≤ 1/3x - 1
D. y ≤ -1/2x + 2
y < 3x - 1
Answer:
B. y < -1/2x + 2 y ≥ 3x - 1Step-by-step explanation:
The gray shadowed area is below descending function and the line is dashed.
It means coefficient x is m<0 and the sign of inequality is y <
So the inequality wich fit it is y < -1/2x + 2
The blue shadowed area is above ascending function and the line is uninterrupted.
It means coefficient x is m>0 and the sign of inequality is y ≥
So the second inequality of system (y ≥ 3x - 1) also match.
The system of linear inequalities represented by this graphed solutions are y ≤ -1/2x + 2 and y < 3x - 1
The standard equation of a line is expressed as y = mx + b;
m is the slope of the lineb is the y-intercept of the lineFor the blue line, the y-intercept is at y = -1. For the slope passing through (0, -1) and (2, 5):
m = 5+1/2-0
m= 6/2
m = 3
The equation of the line is y = 3x - 1
Since the line is dashed and the left part shaded, the inequality expression will be y < 3x - 1
For the black line, the y-intercept is at y = 2. For the slope passing through (0, 2) and (4, 0):
m = 0-2/4-0
m= -2/4
m = -1/2
The equation of the line is y = -1/2x + 2
Since the line is solid and the lower part shaded, the inequality expression will be y ≤ -1/2x + 2
Hence the system of linear inequalities represented by this graphed solutions are y ≤ -1/2x + 2 and y < 3x - 1
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Find the area of the polygon.
6 cm
20 cm
30 cm
5 cm
40 cm
The area of the polygon is
Y
Answer:
820 \(m^{2}\)
Step-by-step explanation:
Select all the correct answers.
Alan needs to drive 400 miles to reach Madison. He is driving at a constant speed of 55 miles per hour. The function y = 400 − 55x represents Alan’s distance in miles from Madison in terms of the number of hours he drives. Andrew is also driving at a constant speed to reach Madison. The table represents Andrew’s distance in miles from Madison in terms of the number of hours he drives.
x y
1 323
3 209
Which statements about this situation are true?
PICK MORE THAN ONE ANSWER!!!
I REPEAT PICK MORE THAN ONE ANSWER!!!
Alan is driving at a faster speed.
Andrew is driving at a faster speed.
Alan and Andrew are driving at the same speed.
Alan was farther away from Madison when he started driving.
Andrew was farther away from Madison when he started driving.
Alan and Andrew started the same distance from Madison.
Answer:
Andrew is driving at a faster speed and they both started at the same place.
4 in
6 in.
4 in
Find the area of the unshaded region
The area of the unshaded region in the given diagram is 64π in²
Calculating the area of the unshaded regionFrom the question, we are to determine the area of the unshaded region in the given diagram
Area of the unshaded region = Area of the medium circle - Area of the small circle
The formula for calculating the area of a circle is given as
A = πr²
Where A is the
and r is the radius
From the diagram,
Radius of the medium circle = 6 in + 4 in
Radius of the medium circle = 10 in
and
Radius of the small circle = 6 in
Thus,
Area of the unshaded region = π(10)² - π(6)² in²
Area of the unshaded region = 100π - 36π in²
Area of the unshaded region = 64π in²
Hence, the area is 64π in²
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HELP
PLEASE.
Simplify the expression.
x^2+2x-24/x^2-x-42
Answer:
\( \frac{x - 4}{x - 7} \)
Step-by-step explanation:
\( \frac{ {x}^{2} + 2x - 24 }{ {x}^{2} - x - 42 } \\ \frac{(x + 6) (x - 4)}{(x - 7)(x + 6)} \:the \: term \: will \: be \: simplified (x + 6) \\ and \: we \: will \: be \: left \: with \: \frac{x - 4}{x - 7} \)
Answer:
Step-by-step explanation:
x² + 2x - 24 = x² + 6x - 4x - 4 * 6
= x(x + 6) - 4(x + 6)
= (x + 6) (x - 4)
x² - x - 42 = x² -7x + 6x - 6 * 7
= x(x - 7) + 6(x - 7)
= (x - 7) (x + 6)
\(\frac{x^{2}+2x-24}{x^{2}-x-42}=\frac{(x + 6)*(x-4)}{(x+6)(x-7)}\\\\\\=\frac{x-4}{x-7}\)
after spending $5 on ice cream, payton had $20 left. how much money did payton have to begin with
Answer: The answer is 25
Step-by-step explanation: because it said he spend $5 on ice cream then he had $20 left so that mean he had 25 - 5 = 20
what is the square root of 7 9/16
Answer: 11/4
Step-by-step explanation:
Please look into the attachment.
If it was helpful then please make sure to mark it as Brainlist.
Thanks!
Answer:
2.75
Step-by-step explanation:
So to figure this out, lets start by converting it into a inproper fraction.
So we know that the whole number is 7, and the denominator is 16, so we need to multiply them together to make our fraction improper:
7*16
=
112
Now add the 9 from what we already had of the fraction:
112+9
=
121
So our improper fraction is:
121/16
Now we must find the square root.
So to find the square root of a fraction, you have to take the square root of both the numerator and the denominator.
The square root of 121 is 11. We know this because 121 is a perfect square, and 11*11 makes 121.
The square root of 16 is 4. We know this as well because 16 is also a perfect square, and 4*4 makes 16.
So the square root of 121/16 is now:
11/4
If you need to, you can convert this into a mixed fraction or a decimal.
4 goes into 11, 2 times with a remander of 3. So:
2 3/4.
3/4 is equivelent to 0.75, so this can also be:
2.75
This is your answer!
Hope this helps!
...*PLZ HELP* This goes for ALL answers >...Given the following word problems, write an inequality that models the problem, then solve and check.
.1. 18 people are in a swimming pool. The maximum capacity for the swimming pool is at most 54 people. How many people can still enter the swimming pool?
.2. Rob earns $6 for each umbrella he sells. He wants to make at least $66. How many umbrellas does he need to sell?
.4. An amusement park needs more than 15 roller coaster rides working before they can open. Currently, 6 rides are working. How many more rides need to be working for the park to open?
.5. A basketball coach wants less than 54 players at the basketball camp. Currently, 42 players are registered for the camp. How many more players can register?
Answer:
See below
Step-by-step explanation:
1.
18 + x ≤ 54x ≤ 54 - 18x ≤ 3636 more people at most2.
6x ≥ 66x ≥ 66/6x ≥ 11At least 11 umbrellas4.
6 + x > 15x > 15 - 6x > 9More than 9 rides5.
42 + x < 54x < 54 - 42x < 12Up to 12 more playersMrs.Vega brought a new aquarium for her turtles. How much space will the turtles have in the aquarium if the length is 5.2 ft, the width is 1.8 ft and the height is 2 ft?
Answer:
18.72 cubic feet
Step-by-step explanation:
Volume of the aquarium = lwh
l = 5.2 ft,w = 1.8 fth = 2 ftV = 5.2*1.8*2 = 18.72 cubic feet
What is the volume of the sphere below?
Use the formula V=
9 cm
A 339.12 cm
B 3,052.08 cm
C 37.68 cm
a
A
ООО
B
c
C
Answer:
.......B......
Step-by-step explanation:
.
.
.
.
.
.
how many solutions are there to the given equation if x1 < 8 and x2 > 8?
There are an infinite number of solutions to the given equation if x1 < 8 and x2 > 8.
Without knowing the equation itself, we can see that the given conditions create a range of possible values for x1 and x2 that are both above and below 8. Therefore, there is no specific solution for the equation that satisfies both conditions simultaneously.
Instead, there are an infinite number of possible solutions within the range of x1 < 8 and x2 > 8. To find any specific solution(s), we would need to know the equation itself and plug in values for x1 and x2 that satisfy the given conditions.
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The double number lines show the ratio of feet to miles.A double number line with 4 equally spaced tick marks. The line labeled Feet, reads from left to right: 0, an unlabeled tick mark, 10,560, an unlabeled tick mark. The line labeled Miles, reads from left to right: 0, an unlabeled tick mark, 2, an unlabeled tick mark.A double number line with 4 equally spaced tick marks. The line labeled Feet, reads from left to right: 0, an unlabeled tick mark, 10,560, an unlabeled tick mark. The line labeled Miles, reads from left to right: 0, an unlabeled tick mark, 2, an unlabeled tick mark.How many feet are in 333 miles
There are 1,757,440 feet in 333 miles based on the given double number line.
To determine how many feet are in 333 miles based on the given double number line, we need to find the corresponding point on the "Feet" line that corresponds to 333 miles on the "Miles" line.
From the information provided, we can see that the tick marks on the "Miles" line are evenly spaced. Since there are two tick marks between 0 and 2 miles, each tick mark represents a distance of 2/2 = 1 mile.
Similarly, on the "Feet" line, there are two tick marks between 0 and 10,560 feet. Therefore, each tick mark represents a distance of 10,560/2 = 5,280 feet.
To find the number of feet in 333 miles, we can use the ratio between miles and feet. Since each tick mark on the "Miles" line represents 1 mile and each tick mark on the "Feet" line represents 5,280 feet, we can set up a proportion:
1 mile / 5,280 feet = 333 miles / x feet
Simplifying the proportion, we get:
1/5280 = 333/x
Cross-multiplying, we have:
x = 333 * 5280
Calculating the product, we find:
x = 1,757,440 feet
Therefore, there are 1,757,440 feet in 333 miles based on the given double number line.
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in a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, mark has scored 90, 86, and 85 on the first three. what range of scores on the fourth test will give mark a c for the semester (an average between 70 and 79, inclusive)? assume that all test scores have a non-negative value.
Answer:
b/w 19 & 55
Step-by-step explanation:
average of four equally weighted 100-point tests,
mark has scored 90, 86, and 85 on the first three.
C average = 70 and 79
90+86+85+x = 4*70 = 280, so x=19
90+86+85+x = 4*79 = 316, so x=55
convert six yard to feet
Answer:
18 feet
Step-by-step explanation:
To convert : multiply the length value by 3
=> 6 x 3
=> 18 feet
What decreases as an object slows down?
a) PE
b) PEel
c) KE
the subject is IPC Inclusion
the subject is IPC inclusion
A population of local birds increases at a rate of 11% per year. in 2013, there were 323 birds. let y = b(t) be the function representing the size of the bird population, where t is the number of years since 2010.
The function representing the size of the bird population is y = b(t) = 323(1.11)^(t - 3). This equation calculates the population size by starting with the initial population of 323 birds and then multiplying it by the growth factor raised to the power of (t - 3), representing the number of years since 2013.
To represent the size of the bird population over time, we can use the exponential growth model. The equation y = b(t) represents the population size, where t is the number of years since 2010.
Given that the population increases at a rate of 11% per year, we can express the growth factor as 1 + 0.11 = 1.11. This factor represents the percentage of growth for each year.
To incorporate the initial population of 323 birds in 2013, we subtract 3 from t to account for the time difference between 2010 and 2013.
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The function y = b(t) represents the size of a bird population that increases at a rate of 11% per year. In 2013, the population had 323 birds. The function relates the number of years since 2010, denoted by t, to the size of the bird population.
The function y = b(t) can be used to model the bird population size based on the number of years since 2010. Since the population increases at a rate of 11% per year, we can express the growth rate as 1 + 0.11 = 1.11.
To find the equation for the population growth, we need to consider the initial population size in 2010, denoted as b(0). Given that the population in 2013 is 323 birds, which is three years after 2010, we can set up the equation b(3) = b(0) * (1.11)^3 = 323.
By solving this equation, we can determine the value of b(0), which represents the initial bird population size in 2010. Then, the function y = b(t) can be expressed as y = b(0) * (1.11)^t.
Therefore, the function y = b(t) represents the size of the bird population, where t is the number of years since 2010, and the population increases at a rate of 11% per year.
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On any given day, the number of users, u, that access a certain website can be represented by the inequality 125-4530Which of the following represents the range of users that access the website each day?O u > 95 or u ,< 55O 95 > u > 155O u < 95 or u > 155O 95 < u < 155
On any given day, the number of users, u, that access a certain website can be represented by the inequality 125-4530. The option "O 95 < u < 155" represents this range and is the correct answer. So, the correct answer is D).
The inequality given in the problem is 125 ≤ u ≤ 530. This means that the number of users that access the website on any given day must be greater than or equal to 125 and less than or equal to 530. Therefore, the correct representation of the range of users that access the website each day is 95 < u < 155, because this is the range of values that lies within the limits of the inequality. So, the correct option is D).
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Solve the equation. (7x + 1 /16 = 1 /2
Answer:
x=1/16
Step-by-step explanation:
\(7x + 1 /16 = 1 /2\\\\7x=1/2-1/16\\\\7x=8-1/16\\\\7x=7/16\\\\x=7/16*7\\\\x=7/112\\\\x=1/16\)
what is the slope for a line that is parallel to the line that goes through (-2,3) and (1,-5)
Answer:
\(m=\frac{-8}{3}\)
Step-by-step explanation:
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)
Simply plug in the 2 coordinates into the slope formula to find slope m:
\(m=\frac{-5-3}{1-(-2)}\)
\(m=\frac{-8}{1+2}\)
\(m=\frac{-8}{3}\)
Parallel lines have the same slope.