Answer:
-10,0
Step-by-step explanation:
(-10,0)
Steve sold 36 fruit baskets for a school fundraiser. Evie sold 25% of the number of baskets that Steve sold. How many fruit baskets did Evie sell? Enter the number in the box.
Answer:
9 fruit baskets.
Step-by-step explanation:
Given:
Steve sold 36 fruit baskets for a school fundraiser.
Evie sold 25% of the number of baskets that Steve sold.
Question asked:
How many fruit baskets did Evie sell?
Solution:
As given that Evie sold 25% of the number of baskets that Steve sold.
Number of baskets sold by Evie = 25% of 36
[tex]=\frac{25}{100}\times36\\\\ =\frac{900}{100}\\ \\=9[/tex]
Thus, 9 fruit baskets sold by Evie.
Please help!
Simplify 2([tex]\sqrt{5x^{3} } )^{2} +16[/tex]
show all work please!
Answer:
10x^3+16
Step-by-step explanation:
Gabe rolled 14 strikes out of 70 attempts. What percent of Gabe's attempts were strikes?
Answer:
20%
Step-by-step explanation:
14/70x100=20%
The population of a particular country was 23 million in 1982; in 1995, it was 33 million. Theexponential growth function A =23ekt describes the population of this country t years after 1982.Use the fact that 13 years after 1982 the population increased by 10 million to find k to threedecimal places.
Answer:
The value of k is 0.448.
Step-by-step explanation:
Given the exponential growth function is
[tex]A=23e^{kt}[/tex]
A= The population of the country
k= growth rate.
The population of the country increased by 10 million in 13 years after 1982.
Then the population is =(23+13)million = 36 million.
Here,
A= 36 million, t= 13
[tex]A=23e^{kt}[/tex]
[tex]\Rightarrow 36=23e^{13k}[/tex]
[tex]\Rightarrow e^{13k}=\frac{36}{23}[/tex]
Taking ln function both sides
[tex]\Rightarrow ln|e^{13k}|=ln|\frac{36}{23}|[/tex]
[tex]\Rightarrow {13k}=ln|\frac{36}{23}|[/tex]
[tex]\Rightarrow {k}=\frac{ln|\frac{36}{23}|}{13}[/tex]
[tex]\Rightarrow k=0.448[/tex]
The value of k is 0.448.
The line plot shows the number of runners on a track team who won at least one gold medal.
A line plot titled Gold Medals earned by the track team. 3 had 1 medal, 1 had 2 medals, 4 had 3 medals, 0 had 4 medals, 2 had 5 medals.
Use the plot to answer the questions.
How many runners won exactly 2 gold medals?
How many gold medals did the most runners win?
How many total runners are represented?
Answer:
1,3,10
Step-by-step explanation:
I got it wright on the test.
Answer:
1
3
10
Step-by-step explanation:
edu 2020
Help me pls I don’t know how to do this I’ll give brainliest pls help
Answer:
3/2
Step-by-step explanation:
First, you find the mean (((4 + 5 + 6 + 1)/4) = 4)
Find the absolute difference between each data value and the mean: 0, 1, 2, 3
Add the differences (in the previous step) and divide by number of terms: (0+1+2+3)/4 = 6/4 = 3/2
Player a led a. Baseball league and runs battle ends for the 2008 regular season. Player b, Who came in second two player a, had 14 Fewer runs battled in for the 2008 regular season. Together these two players brought home 222 runs during the 2008 regular season. How many runs battled in did player a and b each account for?
A=Player A runs; B=Player B runs=A-16
A+B=242 Substitute for B.
A+A-16=242 Add 16 to each side.
2A=258 Divide each side by 2.
A=129 ANSWER 1: Player A batted in 129 runs.
B=A-16=129-16=113 ANSWER 2: Player B batted in 113 runs
CHECK:
A+B=242
129+113=242
242=242
Final answer:
Player A batted in 118 runs and Player B batted in 104 runs during the 2008 regular season. We found this by setting up two equations based on the given information and solving for the variables representing the number of runs batted in by each player.
Explanation:
To solve this problem, let's use two variables, A for the number of runs batted in by Player A, and B for the number of runs batted in by Player B. We know that Player A led the league, and Player B had 14 fewer runs batted in, so we can write the following equation:
B = A - 14
We also know that together they brought in 222 runs, so we can write another equation:
A + B = 222
Substituting the first equation into the second gives us:
A + (A - 14) = 222
Simplifying this equation, we get:
2A - 14 = 222
2A = 236
A = 118
Using the value of A, we can find B:
B = 118 - 14
B = 104
Therefore, Player A batted in 118 runs and Player B batted in 104 runs during the 2008 regular season.
Brianna and Ava go to the movie theater and purchase refreshments for their friends Brianna Spenzo total of $39 and two bags of popcorn and two drinks ever spent a total of $174.50 on a bag of popcorn and 10 drinks write a system of equations that can be used to find the price of one bag of popcorn in the price of one drink using these equations determine and state the price of a drink to the nearest center Brianna and Ava go to the movie theater and purchase refreshments for their friends Brianna Spenzo total of $39 and two bags of popcorn and two drinks ever spent a total of $174.50 on a bag of popcorn and 10 drinks write a system of equations that can be used to find the price of one bag of popcorn in the price of one drink using these equations determine and state the price of a drink to the nearest cent
Answer:
3 m + 4 n = $24.25
9 m + n = $37.00 are the required set of equations.
The cost of 1 cold drink = $3.75
The cost of 1 pop corn bag = $3.25
Step-by-step explanation:
Let us assume the cost of 1 drink = $ m
And the cost of 1 bag of popcorn = $ n
Now, Brianna buys 3 drinks + 4 bag popcorn for $24.25
⇒ Cost of 3 drinks + 4 bag popcorn = $ 24.25
or, 3 ( Cost of 1 drink) + 4 ( Cost of i bag popcorn) = $ 24.25
⇒ 3 m + 4 n = $24.25 ... (1)
Also, Chloe buys 9 drinks + 1 bag popcorn for $37.00
⇒ Cost of 9 drinks + 1 bag popcorn = $37.00
or, 9 ( Cost of 1 drink) + 1 ( Cost of 1 bag popcorn) = $37.00
⇒ 9 m + n = $37.00 ... (2)
Now, solving equation (1) and (2) ,we get:
3 m + 4 n = $24.25
9 m + n = $37.00 ⇒ n = 37 - 9 m
Substitute the value of n in the equation (1),we get:
3 m + 4 n = $24.25 ⇒ 3 m + 4 ( 37 - 9 m ) = 24.25
or, 3 m + 148 - 36 m = 24.25
or, -33 m = -123.75
or, m = 123.75/33 = 3.75, or m = 3.75
Now, n = 37 - 9 m = 37 - 9(3.75) = 3.25, or n = 3.25
Hence the cost of 1 cold drink = m = $3.75
And the cost of 1 pop corn bag = n = $3.25
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Step-by-step explanation:
The common ratio in a geometric series is 0.5 and the first term is 256. Find the sum of the first 6 terms in the series
Answer:
The sum of the first 6 terms of the series is 504.
Step-by-step explanation:
Given that,
Common ratio in a geometric series is, r = 0.5
First term of the series, a = 256
We need to find the sum of the first 6 terms in the series. If a and r area the first term and common ratio of a series, then the series becomes:
[tex]a,ar^1,ar^2,ar^3......[/tex]
The sum of n terms of a GP is given by :
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
Here, n = 6
[tex]S_n=\dfrac{256\times (1-(0.5)^6)}{1-0.5}\\\\S_n=504[/tex]
So, the sum of the first 6 terms of the series is 504.
A(n)=-6+3(n-1). Find the 16th term in the sequence
Answer:
16th term = 39.
Step-by-step explanation:
Plug 16 into the formula -6 + 3(n - 1):
A(16) = -6 + 3(16-1)
= - 6 + 3*15
= -6 + 45
= 39.
Answer:
Step-by-step explanation:
What are the rectangular coordinates of the polar coordinates [tex](2\sqrt{2} ,-\frac{\pi }{12} )[/tex]
Enter your answer in the box. Enter values rounded to the nearest hundredth.
Answer: Given:
(r, θ) is equivalent to (x, y) = (7, 5).
By definition,
r = √(7² + 5²) = 8.6023
θ = tan⁻¹ (7/5) = 0.9505 rad
Therefore
2r = 17.2047
θ + π/2 = 0.9505 + π/2 = 2.5213
In rectangular coordinates,
x = 2r cos(θ + π/2) = 17.2047*cos(2.5213) = -14
y = 2r sin(θ + π/2) = 17.2047*sin(2.5213) = 10
Answer: (-14, 10)
The rectangular coordinates of the polar coordinates (2√2, -π/12) are (-14,10).
What are polar coordinates?The polar coordinate system is a two-dimensional coordinate system in mathematics in which points are defined by an angle and a distance from a central point known as the pole (equivalent to the origin in the more familiar Cartesian coordinate system).
We know polar coordinates are in the form (r, θ).
Also, (r, θ) = (x, y) = (7, 5).
So, r = √(7² + 5²)
r = 8.6023
and, θ = tan⁻¹ (7/5)
θ = 0.9505 rad
Now, 2r = 17.2047
and, θ + π/2 = 0.9505 + π/2 = 2.5213
Thus, the rectangular coordinates are
x = 2r cos(θ + π/2)
x = 17.2047 . cos(2.5213)
x = -14
and, y = 2r sin(θ + π/2)
y = 17.2047 . sin(2.5213)
y = 10
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what is 15 divided by 540
Answer:
36 is the answer........
Answer:
36
Step-by-step explanation:
You can use the bus stop method on this
540 how many 15 goes in it =36
Solve the equation by factoring. (enter your answers as a comma-separated list. let k be any integer. round terms to three decimal places where appropriate. if there is no solution, enter no solution.) csc(θ) cot(θ) − sin(θ) tan(θ) = cos(θ)
Final answer:
To solve the equation by factoring, we factor out common terms from both sides of the equation and set each factor equal to zero. We consider the factors separately and solve for θ to find the solutions.
Explanation:
To solve the given equation, we need to factorize the trigonometric terms. Let's start by factoring out the common factor of sin(θ) cot(θ) from the left side of the equation:
csc(θ) cot(θ) − sin(θ) tan(θ) = cos(θ)
sin(θ) cot(θ)(csc(θ) − tan(θ)) = cos(θ)
Now we have a product of two factors equal to zero, so we can set each factor equal to zero and solve for θ:
sin(θ) cot(θ) = 0
csc(θ) − tan(θ) = cos(θ)
To find the solutions for sin(θ) cot(θ) = 0, we can consider the factors separately:
sin(θ) = 0 or cot(θ) = 0
For sin(θ) = 0, the solutions are θ = kπ, where k is an integer.
For cot(θ) = 0, we can rewrite it as cos(θ)/sin(θ) = 0, which means cos(θ) = 0 and sin(θ) ≠ 0. The solutions for cos(θ) = 0 are θ = (2k + 1)π/2, where k is an integer.
Now let's solve csc(θ) − tan(θ) = cos(θ):
csc(θ) − (sin(θ)/cos(θ)) = cos(θ)
(1/sin(θ)) − (sin(θ)/cos(θ)) = cos(θ)
Using a common denominator, we can combine the fractions:
(cos(θ) − sin(θ))/sin(θ) = cos(θ)
Now we have a fraction equal to a constant. This can only be true if the numerator is zero:
cos(θ) − sin(θ) = 0
Using the identity cos(θ) − sin(θ) = −√2 sin(θ + π/4), we can rewrite the equation as:
−√2 sin(θ + π/4) = 0
Solving for sin(θ + π/4) = 0, we get θ + π/4 = kπ, where k is an integer.
Therefore, the solutions to the equation csc(θ) cot(θ) − sin(θ) tan(θ) = cos(θ) are:
θ = kπ (for sin(θ) cot(θ) = 0)
θ = (2k + 1)π/2 (for csc(θ) − tan(θ) = cos(θ))
The population had decreased 300 resident over the past 5 years. The same number of residents left each year.
Answer:
60
Step-by-step explanation:
The back of Jake's property is a creek. Jake would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a corral. If there is 10001000 feet of fencing available, what is the maximum possible area of the corral?
Answer:
125000 square feet
Step-by-step explanation:
Since there are only three sides of the rectangle, the perimeter of the fence is:
Let x and y be the sides of the rectangle, we are left with:
2 * x + y = 1000
solving for and:
y = 1000 - 2 * x
The area of the corral is:
A = x * y
replacing
A = x * (1000 - 2*x)
A = 1000 * x - 2*x^2
to find the maximum for the parabolic function A = 1000 * x - 2*x^2
The function has a maximum since the quotient before x ^ 2 is negative: -2 <0
Amax = c - b^2 /4*a
where a = -2, b = 1000, c = 0
A max = 0 - 1000^2/(4 * (- 2))
A max = 125000 ft^2
The maximum possible area of the pen is 125000 square feet.
Final answer:
125,000 square feet,
Explanation:
Let us denote the length of the rectangular area parallel to the creek as L and the width of the area as W. Given that the total amount of fencing available is 1000 feet, we can express the perimeter that Jake can fence as 2W + L = 1000 feet, since the creek forms one of the longer sides of the rectangle, and no fencing is required there.
The area A of the rectangle is given by the product of its length and width, i.e., A = L × W. Our goal is to maximize A. From the perimeter equation 2W + L = 1000, we can express L as L = 1000 - 2W.
Substituting this into the area formula, we get A = W * (1000 - 2W). This is a quadratic function and can be written as
A = -2W^2 + 1000W, which is a parabola opening downwards. The maximum value of this function can be found by completing the square or by using the vertex form of a parabola.
The vertex of the parabola, which gives the maximum area, occurs at W = -b/(2a), with 'a' being the coefficient of
W^2 (-2 in this case) and 'b' the coefficient of W (1000 in this case). Plugging these values in, we find that
W = -1000 / (2 * -2) = 250.
Therefore, the width that gives the maximum area is 250 feet. Substituting W back into the perimeter formula, we get
L = 1000 - 2*250 = 500 feet.
So, the dimensions for the maximum area are 500 feet by 250 feet, and the maximum area is A = 500 * 250 = 125,000 square feet.
If the coefficient of determination is a positive value, then the regression equationa.must have a positive slopeb.must have a negative slopec.could have either a positive or a negative sloped.must have a positive y intercept
Answer:
The correct answer is must have a positive slope.
Step-by-step explanation:
The coefficient of determination varies between -1 to 1. It shows the how strong is the relationship between two variables.
Coefficient closer to -1 indicate negative relationship and that y decreases with increase in x and the regression equation has a negative slope.
Coefficient closer to 1 indicate positive relationship and that y increases with increase in x and the regression equation has a positive slope.
Coefficient closer to 0 indicate that there is no possible relationship between the variables under consideration. It is not possible to construct a particular regression equation.
Can somebody tell me how to solve these kind of problems?
A certain forest covers an area of 1700km^2. Suppose that each year this area decreases by 5.75%. What will the area be after 8 years?
Answer: 918km^2
Step-by-step explanation:
[tex]area(a): 1700km^2\\percentage(p): 5.75 = \frac{5.75}{100}=0.0575\\years(y): 8[/tex]
Let x be the new dimension of the area;
[tex]x=a-(a*p*y)[/tex]
[tex]x=(1700km^2)-(1700km^2*0.0575*8)\\x=1700km^2-782km^2\\x=918km^2[/tex]
Swati recorded this data set, which contains an outlier.
163, 97, 184, 199, 169, 175
What numbers represent the lower and upper quartiles?
Answer:
lower quartile: 163 upper quartile: 184
Step-by-step explanation:
1. put the numbers in order from least to greatest. 97, 163, 169, 175, 184, 199
2. find the median. 172
3. find the median of the first 3 numbers to get your Q1. 163
4. find the median of the last 3 numbers to get your Q3. 184
The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the mean of the data. 3.5 1.6 2.4 3.7 4.1 3.9 1.0 3.6 4.2 3.4 3.7 2.2 1.5 4.2 3.4 2.7 0.4 3.7 2.0 3.6 Group of answer choices 2.94 in. 2.80 in. 3.09 in. 3.27 in.
The mean of the normal monthly precipitation for August in these 20 U.S. cities is obtained by adding all precipitation values and dividing by the total number of values, which gives a mean of 3.09 inches.
Explanation:To find the mean of the data, we sum all the values and then divide by the number of values. After adding all the given 20 precipitation values, the total sum comes out to be 61.8 inches. So the mean of the data will be 61.8/20 = 3.09 inches. Therefore, the mean normal monthly precipitation for August in these 20 U.S. cities is 3.09 inches.
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Pls help I will give u brainliest
Answer:
your expression is (10x+15)+11x
Step-by-step explanation:
let the missing number be X
(10x+15)+11x
Your family room has a sliding-glass door. You want to buy an awning for the door that will be just long enough to keep the Sun out when it is at its highest point in the sky. The angle of elevation of the rays of the Sun at this point is 70 $\degree$ , and the height of the door is 8 feet. Your sister claims you can determine how far the overhang should extend by multiplying 8 by tan 70 $\degree$
Answer: Your sister is not correct. You can determine how far the overhang should extend by dividing 8 by [tex]tan(70\°)[/tex]
Step-by-step explanation:
The complete exercise is attached.
Observe the picture attached. You can identify that the angle A and the angle B are congruent (which means that they have equal measure).
Let be "CB" is the length in feet that the overhang should be in order to keep the Sun out when it is at its highest point in the sky.
You need to use the following Trigonometric Identity:
[tex]tan\alpha =\frac{opposite}{adjacent}[/tex]
You can notice that, in this case:
[tex]\alpha =70\°\\\\opposite=8\ ft\\\\adjacent=CB[/tex]
Knowing these values you can substitute them into [tex]tan\alpha =\frac{opposite}{adjacent}[/tex] and then solve for "CB" in orde to find its value.
You get:
[tex]tan(70\°)=\frac{8}{CB}\\\\CB*tan(70\°)=8\\\\CB=\frac{8}{tan(70\°)}\\\\CB=2.91[/tex]
Therefore, your sisteter is not correct.
Answer:
Your sister is not correct. You can determine how far the overhang should extend by dividing 8.
Step-by-step explanation:
You can determine how far the overhang should extend by dividing
Observe the picture attached. You can identify that the angle A and the angle B are congruent (which means that they have equal measure).
Let be "CB" is the length in feet that the overhang should be in order to keep the Sun out when it is at its highest point in the sky.
You need to use the following Trigonometric Identity:
You can notice that, in this case:
Knowing these values you can substitute them into and then solve for "CB" in orde to find its value.
Therefore, your sisteter is not correct.
Caleb went into a cave.
The light intensity (in candela per square meter, or \text{cd/sq. m}cd/sq. mstart text, c, d, slash, s, q, point, space, m, end text) as a function of depth inside the cave (in \text{m}mstart text, m, end text) is graphed.
What is the approximate average rate at which the light intensity decreases, as Caleb goes from a depth of 5\text{ m}5 m5, start text, space, m, end text to a depth of 14\text{ m}14 m14, start text, space, m, end text?
graph
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
330\text{ cd/sq. m}330 cd/sq. m330, start text, space, c, d, slash, s, q, point, space, m, end text per \text{m}mstart text, m, end text
(Choice B)
B
360\text{ cd/sq. m}360 cd/sq. m360, start text, space, c, d, slash, s, q, point, space, m, end text per \text{m}mstart text, m, end text
(Choice C)
C
390\text{ cd/sq. m}390 cd/sq. m390, start text, space, c, d, slash, s, q, point, space, m, end text per \text{m}mstart text, m, end text
(Choice D)
D
Answer:
A) 330 cd/sq. M per m
Step-by-step explanation:
To find the average rate at which the light intensity decreases as Caleb goes from a depth of 5m to a depth of 14m inside the cave, we need to calculate the change in light intensity and divide it by the change in depth.
Explanation:To find the average rate at which the light intensity decreases as Caleb goes from a depth of 5m to a depth of 14m, we need to calculate the change in light intensity and divide it by the change in depth.
Let's denote the initial light intensity at 5m as I1 and the final light intensity at 14m as I2. Using the graph, we can estimate the values of I1 and I2.
Then, the average rate of decrease in light intensity is given by:
Average rate = (I2 - I1) / (14m - 5m)
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Your friend passes you the ball during a soccer game. The Initial velocity of the ball was 12 feet per second, with a height off the ground modeled by the equation h=-4t^2+12t
A. how long after the kick did the ball hit the ground
B. how high did the soccer ball get
C. When did the soccer ball hit it's highest point
The ball hits the ground at t=0 or t=3 seconds. The maximum height of the ball is 9 feet. The ball reaches its highest point at t=1.5 seconds.
Explanation:To find out how long after the kick the ball hits the ground, we need to solve the equation h=-4t^2+12t for t when h=0. We can set the equation to zero and solve for t by factoring or using the quadratic formula. In this case, you can factor out a t from the equation and solve for t to find that t=0 or t=3.
To find out how high the soccer ball gets, we need to find the maximum height of the ball. The maximum height occurs at the vertex of the parabolic equation. The formula for finding the x-coordinate of the vertex is x = -b/2a. In this case, a = -4 and b = 12, so the x-coordinate of the vertex is x = -12/(2*-4) = 1.5. Substituting this value into the equation, we can find the maximum height by solving for h, which is h = -4*(1.5)^2 + 12*(1.5) = 9 feet.
The soccer ball hits its highest point at the x-coordinate of the vertex. In this case, the highest point occurs at t = 1.5 seconds.
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These 2 answers highlighted tell me i'm 75% correct. What is the other answer(s)
Answer:
add the third choice, "the average rate of change for the function is 1"
Step-by-step explanation:
In March, April, and June it rained 2 inches. In February, May, and September it rained 1 inch. In August and October, it rained 3 inches. And in January it only rained 4 inches. Which line plot represents the data?
Answer:
D
Step-by-step explanation:
Hope this Helps :D
Answer:
D
Step-by-step explanation:
Bryce has 220 feet of fencing that will enclose a rectangular corral. One side of the corral will be 48 feet long. What will be the area of the corral?
Answer:
The area of the corral is 2976 ft²
Step-by-step explanation:
Here, we have the perimeter of the rectangle given as 220 ft
Therefore, since in a rectangle, we have 2 sides of the four sides equal, that is;
Perimeter = 2×One side + 2×Other side
or Perimeter = 2×X + 2×Y
Here perimeter = 220 ft = 2×X + 2×Y
As one of the sides is 48 ft, we have;
220 ft = 2 × 48 + 2×Y
Therefore, 2×Y = 220 ft - 2×48 ft = 124 ft
∴ Y = 124 ft ÷ 2 = 62 ft
The area of the corral = Area of rectangle = Length × Width = 62 ft × 48 ft
Area of the corral = 2976 ft².
What is the length of a diagonal of a cube with a side length of 3 cm?
Answer:
27
Step-by-step explanation:
StartRoot 27 EndRoot cm
in playing Monopoly rolling doubles three times in a row since you to jail what is the probability of rolling three consecutive doubles
Answer:
I'd say 2/3
Step-by-step explanation:
I play a lot of Monopoly
Answer:
1 in 216
Step-by-step explanation:
the chance of rolling doubles once is 1/6 if you go through all possible outcomes, and six to the power of 3 (the amount of consecutive doubles desired) is 216
is this correct if not which one is 50 pts and brainliest for first answe
Answer:
B: 50% chance
Step-by-step explanation:
50/50 chance of happening is an equal chance
Answer:
no its B
Step-by-step explanation:
Because you have a 50 50 % chance
What number would you add to both sides of x2 + 7x = 4 to complete the square? 22 72 StartFraction 7 squared Over 2 EndFraction (StartFraction 7 Over 2 EndFraction) squared
Answer:
D on e2020
Step-by-step explanation:
got it right
Answer:
D. (StartFraction 7 Over 2 EndFraction) squared
Step-by-step explanation: