Answer:
Maximum: C= 6(5) + 2y or C= 30 + 2y
Step-by-step explanation:
X can be greater than or equal to 0, but can also be less than or equal to 5.
Y is greater than or equal to 0.
4 times x then subtracted by y is greater than or equal to 1.
Since X can't go higher than 5, the maximum is 5.
Y can be anything since it can be greater than or egual to 0 and either way it would be greater than one.
I hope I could help!
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:
What is the quotient (3x3 − x2 − x − 1) ÷ (x − 1)?
A. 3x2 − 2x + 1
B. 3x2 − 4x + 1
C. 3x2 + 2x + 1
D. 3x2 + 4x + 1
Answer:
I believe the correct answer is C, sorry for the late answer/response, but I believe this is the right answer. Have a nice day
Step-by-step explanation:
:)
Final answer:
The quotient of the polynomial division (3x³ - x² - x - 1) ÷ (x - 1) is 3x² + 2x + 1 using synthetic division.
Explanation:
To find the quotient of (3x³ - x² - x - 1) ÷ (x -1), we can use polynomial long division or synthetic division. In this case, the coefficient in front of x in the divisor (x - 1) is 1, so we can use synthetic division directly.
Set up the synthetic division by writing the coefficients of the dividend, which are 3, -1, -1, and -1, and the zero of the divisor, which in this case is +1. Carry out the synthetic division process to get the quotient.
The result of the synthetic division gives us the coefficients of the quotient, which are the coefficients for the powers of x in the quotient polynomial, starting from one degree less than the original polynomial because we are dividing by a first-degree polynomial.
The remainder, if there is one, would be the constant at the end or the remainder over the divisor.
The quotient of the polynomial division is (3x² + 2x + 1) with no remainder.
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
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
A quadrilateral labeled T'B'N'E' indicates a pre-image.
True
False
Answer:
False
Step-by-step explanation:
The image is after pre-image
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.
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.
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 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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What line is parallel to the line 8x+2y=12
Answer:
y = 4x (? See parentheses in explanation)
Step-by-step explanation:
First, change this equation to slope-intercept form.
8x + 2y = 122y = 8x +12y = 4x + 6Then, look at the slope and that is the slope of the parallel line.
(I don't know if the line is supposed to pass through a specific point, but if it does, then use point-slope form.)
Answer:
There are an infinite number of solutions to this queston, but you can find an answer by writing:
8x+2y = k ; where k is any number but 12.
Step-by-step explanation:
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
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:
The base of the pyramid is a square. What is its surface area if the pyramid’s height is 4 feet and the area of the base is 36 ft2? Show your work.
Answer:
48
Step-by-step explanation:
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.
Please help!
Simplify 2([tex]\sqrt{5x^{3} } )^{2} +16[/tex]
show all work please!
Answer:
10x^3+16
Step-by-step explanation:
For an outdoor concert by the city orchestra, concert organizers estimate that 19 comma 000 people will attend if it is not raining. If it is raining, concert organizers estimate that 4000 people will attend. On the day of the concert, meteorologists predict a 90% chance of rain. Determine the expected number of people who will attend this concert.
Step-by-step explanation:
The concert organizers estimate people will attend if it is not raining = 19000
If its raining people will attend = 4000
On the day of the concert, meteorologists predict a 90% chance of rain.
This means 10 % chance of not raining
The expected number of people = 90% (4000) + 10% (19000)
= 360 + 1900
= 2260
The expected number of people who will attend this concert = 2260
An equation of a circle is given as (x + 6)^2 + (y − 7)^2 = 81. Find the center and radius of the circle.
Answer:
(-6, 7), r=9
Step-by-step explanation:
The opposite of the number next to the x is -6, the opposite of the number next to the y is 7. The square root of the number on the right (81) is 9, so 9 is the radius.
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 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
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.
Mark was folding shirts and putting them into piles. He put 2 shirts in each pile. If there are 7 piles of shirts, how many shirts did Mark fold in all? A. 9 B. 21 C. 14 D. 16
Answer:
C. 14
Step-by-step explanation:
2 shirts in each pile x 7 piles of shirts = 14 shirts in total
2 x 7 = 14
Final answer:
To determine how many shirts Mark folded, multiply the number of shirts per pile (2) by the number of piles (7), which equals 14 shirts.
Explanation:
The question asks us to calculate the total number of shirts Mark folded if he put 2 shirts in each pile and there are 7 piles of shirts.
To find the total number of shirts, we need to multiply the number of shirts per pile by the number of piles. So, the calculation is as follows:
Determine the number of shirts per pile: 2 shirts.
Determine the total number of piles: 7 piles.
Multiply the number of shirts per pile by the number of piles: 2 shirts x7 piles = 14 shirts.
Therefore, Mark folded a total of 14 shirts.
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.
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
Marco is purchasing a present for his mom he found a wash that is normally $115 for 35% off he also has a 15% off coupon how much will the watch cost before tax
Answer:
$63.54
Step-by-step explanation:
If something is 35% off you pay 65% of the price
115*.65= 74.75
same thing again but with 15% and multiplying by .85
74.75*.85=63.54
1. Which is the best method for solving the quadratic equation? Solve the quadratic equation using the method chosen. Leave all answers in simplest radical form.
Choose each method once.
• Take the square root of each side.
• Factor and use the zero product property.
• Complete the square.
• Use the quadratic formula.
A. x2 = –16x
B. y2 + 6y – 2 = 0
C. 2a2 = 72
D. p2 + 4p = 8
ANSWER:
2. Consider the quadratic function y = –2x2 + 3x + 4.
A. Does the parabola open upward or downward? Explain.
B. Does the vertex lie on, below, or above the x-axis? Explain.
ANSWER:
Answer:
1. A. Factor and use the zero-product property; x = 0, -16
B. Use the quadratic formula; y=-3-√11, -3+√11
C. Take the square root of each side; x = -6, 6
D. Complete the square; p= -2(√3 + 1). 2(√3 - 1)
2. A. Downward; coefficient of x² is negative
B. Above; k is positive
Step-by-step explanation:
1. A. x² = –16x
Factor and use the zero-product property
[tex]\begin{array}{rcl}x^{2} & = & -16x\\x^{2} + 16x & = & 0\\x(x + 16) & = &0\\x = \mathbf{0} & & x+ 16 = 0\\& & x = \mathbf{-16}\\\end{array}[/tex]
B. y² + 6y – 2 = 0
Use the quadratic formula
a = 1; b = 6; y = -2
[tex]\begin{array}{rcl}y & = & \dfrac{-b\pm\sqrt{b^2-4ac}}{2a} \\\\ & = & \dfrac{-6\pm\sqrt{6^2-4\times1\times(-2)}}{2\times1} \\\\ & = & \dfrac{-6\pm\sqrt{36+8}}{2} \\\\ & = & \dfrac{-6\pm\sqrt{44}}{2} \\\\ & = & \dfrac{-6\pm2\sqrt{11}}{2} \\\\ & = & -3\pm\sqrt{11}\\y=\mathbf{-3-\sqrt{11}} & &y= \mathbf{-3+\sqrt{11}}\\\end{array}[/tex]
C. 2a² = 72
Take the square root of each side.
[tex]\begin{array}{rcl}2a^{2} & = & 72\\a^{2} & = & 36\\a & = & \pm 6\\a= \mathbf{-6} & & a = \mathbf{6}\\\end{array}[/tex]
D. p² + 4p = 8
Complete the square.
[tex]\begin{array}{rcl}p^{2} + 4p & = & 8\\p^{2} + 4p + 4 & = & 12\\(p + 2)^{2}& = & 12\\p + 2& = & \pm \sqrt{12}\\& = & \pm 2\sqrt{3}\\p + 2 = -2\sqrt{3} & & p +2=-2\sqrt{3}\\p = -2 - 2\sqrt{3} & & p = -2 +2\sqrt{3}\\p= \mathbf{-2(\sqrt{3}+1)} & & p= \mathbf{2(\sqrt{3}-1)}\\\end{array}[/tex]
2. y = –2x² + 3x + 4
a = -2; b = 3; c = 4
A. Direction of opening
The parabola opens downward because the coefficient of x² is negative.
B. Vertex
The vertex form of a parabola is
y = a(x - h)² + k
where (h, k) are coordinates of the vertex.
The vertex will be above. on, or below the x-axis if k is positive, zero, or negative.
[tex]\begin{array}{rcl}k& = & \dfrac{4ac-b^{2}}{2a}\\\\& = & \dfrac{4\times(-2) \times 4 - 3^{2}}{2\times4}\\\\& = & \dfrac{-32 - 9}{-8}\\\\& = & \dfrac{-41}{-8}\\\\& > &\mathbf{0}\\\end{array}[/tex]
The vertex is above the x-axis because k is positive.
The graph below shows that your parabola opens downward and the vertex is above the x-axis.
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:
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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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
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
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