Answer:
5°
Step-by-step explanation:
4x+81=13x+36
answer is 5°
24. Vince spent half of the money in his wallet on a new jumper
He then spent S15 on lunch.
After lunch he spent two thirds of the money remaining in his wallet on a hat.
If he is left with SIO in his wallet. how much did he have to begin with?
Answer:
$90
Step-by-step explanation:
Sorry to ask but can I have brainliest
HELPPPP
Which of the following formulas can be used to determine the measure of the angle of rotation for a regular polygon with n sides?
Answer: \(m=\frac{360^{\circ}}{n}\)
Step-by-step explanation:
This is a standard result.
The second option is the segment addition postulate.
The third option is the sum of the angles of a polygon with n sides.
The fourth option is the measure of each interior angle of a regular polygon with n sides.
The fifth option is the angle addition postulate.
answer to this???????
Answer:
At a bus stop, 8 people got off the bus and 10 people go on. This means that the number of passengers increased by 2.
Step-by-step explanation:
The first one would e -8-10=-18
Second one would just be wrong. Each goldfish would be 5/4 of a dollar, so it cannot be possibly represented by the equation.
It would just be 8x=10
The last one is correct because it accurately depicts 8 people getting off(-8) and 10 people getting on(+10) which means that the passengers increased by two. This corresponds to the given equation.
A large bag contains
14 pounds of pretzels. A small bag contains 30% of the pretzels that
the large bag contains.
How many pounds of pretzels does the small bag contain? Write your answer as a fraction.
Large bag contains 14
30% of 14 is 3 / 10 times 14 which is 42 / 10 = 21 / 5 pounds of pretzels, in improper form, 4 and 1 / 5th of a pound or 4.2 pounds
in s aourtry, Fwe wind poner capachy has grown exponentaby from 4791 miegmwatts n 2001 to 46.915 megawatts in 2011. a) Find the exponerial growth nute in and write an equation for an exponential function that can be used to predict the wind-power capacity; in megawatts, tyears after 2001 . b) Letinule the year in which whe power capecily will reach 100,008 megawatts. a) the erposertial growth rule k is (Type an edeger or decimai rounded to tree decimal places as newded)
The exponential growth rate of wind power capacity in Fwe country is 0.228, rounded to three decimal places. The equation for an exponential function that can be used to predict the wind-power capacity in megawatts, t years after 2001 is y = 4791(0.228)^t. The year in which wind power capacity will reach 100,008 megawatts is 2034.
The exponential growth rate can be found by taking the natural logarithm of the ratio of the wind power capacity in 2011 to the wind power capacity in 2001. The natural logarithm of 46915/4791 is 0.228. This means that the wind power capacity is growing at an exponential rate of 22.8% per year.
The equation for an exponential function that can be used to predict the wind-power capacity in megawatts, t years after 2001, can be found by using the formula y = a(b)^t, where a is the initial value, b is the growth rate, and t is the time. In this case, a = 4791, b = 0.228, and t is the number of years after 2001.
To find the year in which wind power capacity will reach 100,008 megawatts, we can set y = 100,008 in the equation and solve for t. This gives us t = 23.3, which means that wind power capacity will reach 100,008 megawatts in 2034.
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There are 348 identical plastic chips numbered 1 through 348 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 213? Express your answer as a simplified fraction or a decimal rounded to four decimal places
We have to find the probability of randomly drawing a chip number that is smaller than 213.
As the chips are numbered from 1 to 348,this probability will be equal to the proportion of chips that have a number that is less than 213.
We have 212 chips in the bag that have a number less than 213, so we can calculate the probability P as:
\(P=\frac{X}{N}=\frac{212}{348}=\frac{53}{87}\approx0.6092\)Answer: the probability is 53/87 or approximately 0.6092.
An object is launched directly in the air at a speed of 64 feet per second from a platform located 16 feet in the air. The motion of the object can be modeled using the function f(t)=−16t2+64t+16, where t is the time in seconds and f(t) is the height of the object. When, in seconds, will the object reach its maximum height?
Answer:
Step-by-step explanation:
x= -b/2a = -64/2(-16) = 2
showing that the object will reach its highest point at 2 seconds
Calculate the perimeter of the following rectangle:
A 23 in.
B 30 in.
C 13 in.
D 26 in.
Answer:
i realy dont know sorry
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
10+10+3+3 or
2(10) + 2(3)
20 + 6
26
Perimeter: D
Determine number of kilocalories a person in china ate each day in 1960
Answer:
\(1611 \text{ kilocalories}\)
Step-by-step explanation:
During 1960, x = 0 because x represents the years since 1960, and no years have passed since 1960.
So, to solve for g(x) (kilocalories eaten) during 1960, all we have to do is plug 0 in for x on the right side of the equation and simplify:
\(g(x) = 1611(1.013)^0\)
\(g(x) = 1611(1)\)
\(\boxed{g(x) = 1611 \text{ kilocalories}}\)
Remember that anything to the power of 0 is 1.
I've always wondered why we put the dollar sign ($) before a number, when, when we say an amount of money we say the number first then dollars; like $12, but I think it really should be 12$, cause we don't go and say "dollar twelve", we say "twelve dollars". I don't know if this makes sense, but this always confused me; please share your thoughts.
Answer: I believe it's just custom. Some nations follow the quantity with a currency symbol, such as the dollar sign.
According to one hypothesis I've heard, the currency symbol was added before the quantity to stop individuals from modifying handwritten amounts, like changing 25.00 into 125.00, for example. It might be accurate, however I believe that the amount is always spelled out in words in the majority of situations when such fraud would be conceivable, such as on checks.
Step-by-step explanation:
Determine the present value P that must be invested to have the future A at simple interest rate r after time t A= $3000.00 r=15,0% t= 9 months Round up to nearest cent as needed
Answer:
$2696.63
Explanation:
The future value A and the present value P are related by the following equation
A = P(1 + rt)
Where r is the interest rate and t is the time.
Now, we need to convert 9 months to years as follows
9 months x 1 year / 12 months = 0.75 years
Then, replacing A = 3000, r = 15% = 0.15 and t = 0.75, we get:
3000 = P(1 + 0.15(0.75))
3000 = P(1 + 0.1125)
3000 = P(1.1125)
Now, we can solve for P
P = 3000/1.1125
P = 2696.63
Therefore, the present value is $2696.63
A bricklayer lays 4 bricks the first day of the job. On each day thereafter, he lays three times the number of bricks he laid on the previous day. If he continues this pattern, how many bricks in total will he have laid at the end of the fifth day? Responses 10 bricks 10 bricks 24 bricks 24 bricks 324 bricks 324 bricks 484 bricks
At the end of the fifth day, a bricklayer has laid 324 bricks on the job.
What is multiplication?Multiplication is a mathematical arithmetic operation.
It is also a process of adding the same types of expression to some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given, a bricklayer lays 4 bricks on the first day on the job.
On each day thereafter, he lays three times the number of bricks he laid on the previous day.
And he continued his pattern.
Let x be the number of bricks he laid in the previous day.
Then according to the question,
The number of bricks in total is = 3x
For the second day, x =4
Number of the bricks he laid on the second day = 12
Now the x =12 for the third day.
Number of the bricks he laid on the third day = 36
Now x = 36 for the fourth day.
Number of the bricks he laid on the fourth day = 108
Now the x = 108 for the fifth day.
Number of the bricks he laid on the fifth day = 324
Therefore, 324 bricks he has laid at the end of the fifth day.
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A forest covers 73,000 acres. A survey finds that 0.2% of the forest is old-growth trees. How many
acres of old-growth trees are there?
There are acres of old-growth trees.
Type an integer or a decimal)
Answer:
143 acres.
Step-by-step explanation:
To find how many acres of old-growth trees there are, we need to find what 0.2% of 73,000 is.
To find a percent of a number, multiply the percent by the number.
0.2% is equal to 0.002.
73,000 x 0.002 = 143
So, 143 acres of the forest is old-growth trees.
I would appreciate brainliest, if not that's ok!
4. A trapezoid has vertices located at the points: A(-2.3, 5), B(4.8, 5), C(4.8, -2.2), D(-2.3, -3.3). Find the length of AB
O 5 units
O 7.2 units
O 7.1 units
O 5.5 units
The calculated length of the side AB is 7.1 units.
Finding the length of ABTo find the length of AB, we need to use the distance formula, which gives the distance between two points in a coordinate plane.
The distance formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
So, for the line segment AB, we need to find the distance between the points A(-2.3, 5) and B(4.8, 5).
Substituting the coordinates into the distance formula, we get:
d = √((4.8 - (-2.3))^2 + (5 - 5)^2)
d = √((4.8 + 2.3)^2 + 0^2)
d = √(7.1^2)
d = 7.1
Therefore, the length of AB is 7.1 units.
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Emma has a round trampoline with a diameter of 2 yards. What is the trampoline's radius?
yards
Answer:
You know the radius is 1/2 of the diameter.
You can simply do 2/2 which is ONE.
The radius of the trampoline with a diameter of 2 yards will be 1 yard.
What is the radius?The radius of the circle is the distance from the centre of the circle to the outer curve of the circle. The diameter of the circle is the length of the two points between the curve of the circle passing through the centre of the circle.
The radius of the circle is half of the diameter of the circle. The trampoline's radius will be calculated as,
Radius = Diameter / 2
Radius = ( 2 ) / 2
Radius = 1 yard
Therefore, the radius of the circle will be 1 yard.
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Find the circumference.
Use 3.14 for π.
r=2 m
C = [?] m
C = πd
Trevon and Ashley are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of gingerbread cookie dough. Trevon sold 6 packages of chocolate chip cookie dough and 2 packages of gingerbread cookie dough for a total of $72. Ashley sold 6 packages of chocolate chip cookie and 10 packages or gingerbread cookie dough for a total of $216. What is the cost if each of one package of chocolate chip cookie dough and one package of gingerbread cookie dough
Answer:
the cost of one package of chocolate chip cookie and one package of ginger bread is $6 and $18 respectively
Step-by-step explanation:
The computation of the cost of one package of chocolate chip cookie and one package of ginger bread is shown below:
Let us assume the package of chocolate chip cookie be x
And, the package of ginger bread is y
So,
According to the question
6x + 2y = $72
6x + 10y = $216
Now subtract equation 1 from equation 2
-8y = -144
y = $18
And, for x it would be
6x + $36 = $72
x = $6
Hence, the cost of one package of chocolate chip cookie and one package of ginger bread is $6 and $18 respectively
The cost of operating a Frisbee company in the first year is $10,000 plus $2 for each Frisbee. Assuming the company sells every Frisbee it makes in the first year for $7, how many Frisbees must the company sell to break even? A. 1,000 B. 1,500 C. 2,000 D. 2,500 E. 3,000
The revenue can be calculated by multiplying the selling price per Frisbee ($7) , company must sell 2000 Frisbees to break even. The answer is option C. 2000.
In the first year, a Frisbee company's operating cost is $10,000 plus $2 for each Frisbee.
The company sells each Frisbee for $7.
The number of Frisbees the company must sell to break even is the point where its revenue equals its expenses.
To determine the number of Frisbees the company must sell to break even, use the equation below:
Revenue = Expenseswhere, Revenue = Price of each Frisbee sold × Number of Frisbees sold
Expenses = Operating cost + Cost of producing each Frisbee
Using the values given in the question, we can write the equation as:
To break even, the revenue should be equal to the cost.
Therefore, we can set up the following equation:
$7 * x = $10,000 + $2 * x
Now, we can solve this equation to find the value of x:
$7 * x - $2 * x = $10,000
Simplifying:
$5 * x = $10,000
Dividing both sides by $5:
x = $10,000 / $5
x = 2,000
7x = 2x + 10000
Where x represents the number of Frisbees sold
Multiplying 7 on both sides of the equation:7x = 2x + 10000
5x = 10000x = 2000
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help
Holden and Melissa are hiking one of the trails at Harriman State Park. They stop to drink water every 2 miles they hike. When they stop, Holden drinks ⅛ gallon of water and Melissa drinks ⅜ gallon of water. How much more water will Melissa drink than Holden after hiking 14 miles?
The much more gallons of water that Melissa consumed than Holden after hiking for 14 miles, using mathematical operations, is 1³/₄ gallons.
What are mathematical operations?The basic mathematical operations include addition, subtraction, division, and multiplication.
In this situation, we apply the mathematical operations of multiplication, division, and subtraction to determine the quantity or gallons of water that Melissa drank more than Holden during the hiking.
Holden Melissa
Water drinking rate for every 2 miles ⅛ ⅜ gallons
The total distance of hiking = 14 miles
The total gallons consumed ⁷/₈ (⅛ x ¹⁴/₂) 2⁵/₈ (⅜ x ¹⁴/₂)
The Difference in the total gallons consumed by Melissa compared to Holden's = 1³/₄ gallons (2⁵/₈ - ⁷/₈)
Thus, based on mathematical operations, we can conclude that Melissa drank 1³/₄ gallons more than Holden.
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Which expression is a difference of squares with a factor of 5x − 8?
The expression that is a difference of squares with a factor of 5x - 8 is \(25x^2 - 64.\)
To identify the expression that is a difference of squares with a factor of 5x - 8, we need to understand what a difference of squares is and how it relates to the given factor.
A difference of squares is an algebraic expression of the form \(a^2 - b^2,\)where a and b are terms. It can be factored as (a - b)(a + b). In other words, it is the product of two conjugate binomials.
In this case, the given factor is 5x - 8. To determine the other factor, we can set it equal to (a - b) and look for the corresponding (a + b) factor.
Setting 5x - 8 equal to (a - b), we have:
5x - 8 = (a - b)
To find the corresponding (a + b) factor, we consider the signs. Since the given factor is 5x - 8, we can conclude that the signs in the factored expression will be (a - b)(a + b), where the signs alternate. This means the corresponding (a + b) factor will have a positive sign.
So, the (a + b) factor will be (5x + 8).
Now, we have both factors: (a - b) = (5x - 8) and (a + b) = (5x + 8).
To find the expression that is a difference of squares with a factor of 5x - 8, we multiply these two factors:
(5x - 8)(5x + 8)
Expanding this expression using the distributive property, we get:
\(25x^2 - 40x + 40x - 64\)
The middle terms, -40x and +40x, cancel each other out, resulting in:
\(25x^2 - 64\)
Therefore, the expression that is a difference of squares with a factor of \(5x - 8 is 25x^2 - 64.\)
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You ask a deli clerk for x pounds of ham and x pounds of cheese. You end up getting 4 extra ounces of ham and
3 fewer ounces of cheese. The ham costs $6.24 per pound, and the cheese costs $4.80 per pound. You spend twice
as much on ham as you do on cheese. How much do you spend in total?
The total amount spent buying ham and cheese is $187.20
What is the total cost of each item?
The total cost of each item can be determined as the price multiplied by the quantity bought
quantity of ham bought=x+4
quantity of cheese bought=x-3
price per pound of ham=$6.24
price per pound of cheese=$4.80
total amount spent on ham=(x+4)*6.24
total amount spent on ham=6.24x+24.96
total amount spent on cheese=(x-3)*4.80
total amount spent on cheese=4.80x-14.40
If the individual spent twice on as much on ham than cheese, it means that amount on ham is equals twice of the one spent on cheese
6.24x+24.96=2(4.80x-14.40)
6.24x+24.96=9.60x-28.80
24.96+28.80=9.60x-6.24x
53.76=3.36x
x=53.76/3.36
x=16
total amount spent=6.24x+24.96+4.80x-14.40
total amount spent=6.24(16)+24.96+4.80(16)-14.40
total amount spent=$187.20
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A concert hall has seven sections. Each section has 23 rules. Please roll has 14 seats. If the theater sells out pretty particular performance, how many people attended? If the average ticket sold for $20, how much was collected at the box office? Need to write an equation. Thanks
Answer:
The number of people that attended the performance = 2,254
Amount collected at box office = $45,080
Step-by-step explanation:
For the theater to sell out a performance, it means it was filled to the brim( completely filled)
We have 7 sections, with 23 rows each
The total number of rows will be 23 * 7 = 161 rows
Since each row has 14 seats, the total number of seats will be 161 * 14 = 2,254 seats
Secondly we want to know how much was collected at the box office given the average ticket price
The amount collected at the box office = Number of seats * average ticket price = 2,254 * 20 = $45,080
We are interested in conducting a study to determine the proportions of voters who would vote for the incumbent governor. A sample of 400 voters was taken, and 285 of these favored the incumbent.
Construct and explain are 90% confidence interval estimate of the proportion of all voters who support the incumbent.
The 90% confident interval is (0.6754, 0.7496).
The confidence interval of proportion:The formula for the confidence interval for a proportion in a population is as follows:
p ± z(α/2) * √[ (p * ( 1 - p) / n) ]
Here,
p = sample proportion
n = size of the sample
z(α/2) = critical value of the normal distribution at α/2 (significant level divided by 2).
The value of z(α/2) is obtained from the standard normal distribution tables.
For getting the Sample proportion we know the formula,
Sample proportion(p) = Favoring the incumbent / Total voters
p = 285/400
p = 0.7125
Critical value at 90% confidence interval = 1.645 (From the z-distribution table)
The Margin of Error (ME) is the range in which the true population proportion may lie. It can be calculated as follows:
ME = z * SE
(SE) = √[ p * ( 1 - p ) / n ]
SE = √ [(0.7125 * 0.2875) / 400] = 0.0226
ME = 1.645 * 0.0226
ME = 0.0371
Confidence Interval = Sample Proportion ± Margin of Error
CI = 0.7125 ± 0.0371
0.7496
CI = (0.6754, 0.7496)
Hence, the 90% confidence interval for the proportion of all voters who support the incumbent governor is(0.6754, 0.7496).
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Simplify: 3.2/0.4 •2• 0.4/0.1
option 1) 64
option 2) 16
option 3) 6.4
option 4) 1.6
Answer:
1
Step-by-step explanation:
3.2/0.4=8
8×2=16
16×0.4=6.4
6.4÷0.1=64
Please help me I’ll mark you Brainly
Step-by-step explanation:
Option C) ............. i guess so
On a camping trip you bring 12 items for 4 dinners. For each dinner you use 3 items. In how many ways can you choose items for the first dinner? for the second? for the third? for the fourth?
Answer:
ermmm...yeah
Step-by-step explanation:
Since you bring 12 items for 4 dinners, you have a total of 12 items to choose from.
For the first dinner, you need to choose 3 items out of the 12. You can do this in:
12 choose 3 = (12!)/(3!*(12-3)!) = 220 ways
For the second dinner, you have used up 3 items in the first dinner, so you have 9 items left to choose from. You need to choose 3 items out of the 9. You can do this in:
9 choose 3 = (9!)/(3!*(9-3)!) = 84 ways
For the third dinner, you have already used up 6 items, so you have 6 items left to choose from. You need to choose 3 items out of the 6. You can do this in:
6 choose 3 = (6!)/(3!*(6-3)!) = 20 ways
For the fourth dinner, you have already used up 9 items, so you have only 3 items left to choose from. You need to choose all 3 items. You can do this in:
3 choose 3 = (3!)/(3!*(3-3)!) = 1 way
Therefore, you can choose items for the first dinner in 220 ways, for the second dinner in 84 ways, for the third dinner in 20 ways, and for the fourth dinner in 1 way.
The response earned 6 points: 3 points in part (a), no points in part (b), 2 points in part (c), and 1 point in part (d). In part (a) the student uses the initial condition f (−2) with an appropriate definite integral ( ) 2 6 f x dx − − ′ ∫ to find f (− = 6 3. ) Thus, the student earned the first and second points. The student uses f (−2) again with an appropriate definite integral ( ) 5 2 f x dx − ′ ∫ to find f (5 10 2 . ) = − π The student earned the third point. In part (b) the student presents two intervals, [−6, 2) and (2, 5 .) Because f x ′( ) < 0 on (−2, 2 ,) f is decreasing on [−2, 2 .] The student is not eligible to earn any points because of the presence of an interval containing points where f x ′( ) < 0. Thus, the student did not earn any points. In part (c) the student investigates where f x ′( ) = 0 and identifies f ′(−2) and f ′(2 .) The student earned the first point for considering x = 2. The student identifies the absolute minimum value as 7 2. − π The student justifies by evaluating f x( ) at the critical values and endpoints. The student earned the second point. In part (d) the student identifies f ′′(−5) as the derivative of f x ′( ) at x = −5 and finds ( ) 1 5 . 2 f ′′ − =− The student earned the first point. The student states that f ′′(3) does not exist. The student uses two one-sided limits at x = 3. The student states that " f x( ) is not differentiable at x = 3, " which contradicts the given statement in the problem that f is differentiable on the closed interval [−6, 5 .] The student did not earn the second point.
The student earned a total of 6 points by correctly using definite integrals to find f(-2) and f(2), identifying the critical values and absolute minimum value of f(x) and finding f''(-5).
The student earned a total of 6 points in the problem. They earned 3 points in for using an appropriate definite integral to find f(-2), and another point for using a definite integral to find f(2). They did not earn any points.
In next part, they earned 2 points for identifying where f'(x) = 0, and identifying the absolute minimum value of f(x) at x=2. In part (d), they earned 1 point for finding f''(-5), but did not earn the second point due to a contradiction in their reasoning about the differentiability of f(x) at x=3.
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Explain whether the graph represents a function.
Answer:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
Reasoning: Write a function g(x) to represent the translated graph. f(x) = 3x + 7 translated 4 units up.
Answer:
I am pretty sure its g(x) = 3x + 11
A gardener wants to divide a square piece of lawn in half diagonally. what is the length of the diagonal side of the square is 8 fr. leave your answer in simplest radical form.
16√8
2√8
8√2
4
The answer is option C, 8√2.
The length of the diagonal side of the square is 8 fr. Hence the gardener wants to divide a square piece of lawn in half diagonally, which means to find the length of a diagonal bisector of a square. Let's solve the problem: Length of the diagonal side of the square = 8 fr.
Let's apply the Pythagorean theorem, which states that the square of the length of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the other two sides. Therefore, the formula to find the length of the diagonal (d) of the square with side a is given by d = a√2.
Now we can find the length of the diagonal of the square using the formula given above: d = a√2d = 8√2Thus, the length of the diagonal side of the square is 8 fr. Hence the length of the diagonal of the square is 8√2 fr. Therefore, the answer is option C, 8√2.
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