The correct answer from options are,
a) x⁴ – 6x² – 27 = 0,
d) 6(2x + 4)² = (2x + 4) + 2 and,
e) 6x⁴ = -x² + 5.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of second degree. A quadratic function must contain at least one term of the second degree.
Given equations to find the equations that are quadratic in form,
Standard form refers to the quadratic function f(x) = a(x - h)² + k, where a is not equal to zero. The graph opens either upward or downward depending on the value of a. The vertex is the point, while the line of symmetry is the vertical line x = h.
so equations that are in form of quadratic are,
x⁴ – 6x² – 27 = 0,
6(2x + 4)² = (2x + 4) + 2,
6x⁴ = -x² + 5
and rest all other equations are not in form of quadratic.
Hence options A, D, and E are correct.
Learn more about quadratic function;
https://brainly.com/question/27958964
#SPJ1
if i need to put streamers from concern to corner in both directions and the wall is 4 ft wide and 8ft high how much streamer do I need
To put the streamer on the whole wall we need at least 32 Square feet of the streamer.
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
Given, to put streamers from concern to corner in both directions and the wall is 4 ft wide and 8ft high.
Since the area of a rectangle:
Area = Length * width
Thus,
The area of the wall = 4 * 8
The area of the wall = 32
So,
The Streamer required = 32 square feet
Therefore, We need at least 32 square feet of streamer to cover the entire wall.
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ1
Given DEF= WXY, use the Hypotenuse- Leg Congruence Theorem to find x.
A. 30
B. 45
C. 60
D. 90
E. 15
The correct option is A. 30° for the value of x in the similar triangles right triangles DEF and WXY.
What is the hypotenuse-leg congruent theorem for triangles?The hypotenuse-leg congruent theorem states that if two right-angled triangles have congruent legs, then their hypotenuses are also congruent.
it also implies that angle D is equal to angle W and angle F is equal angle Y
so;
x + 2x + 90 = 180° {sum of interior angles of a triangle}
3x + 90° = 180°
3x = 180° - 90° {subtract 90° from both sides}
3x = 90°
x = 90°/3 {divide through by 3}
x = 30°
Therefore, the value of x in the similar triangles right triangles DEF and WXY is equal to 30°
Know more about triangles here:brainly.com/question/14285697
#SPJ1
Macky wants to open a checking account. He is examining different banks and banking accounts. Then he will choose a bank account for his needs. Which of the following statements should not be one of Macky’s reasons for choosing a bank?
Answer:The statement "The bank has the best decors and paintings in their branch" should not be one of Macky's reasons for choosing a bank. While the appearance of a bank branch may be important to some customers, it is not a primary factor in choosing a bank account. Macky should focus on more important factors such as interest rates, fees, customer service, and overall financial stability of the bank.
Step-by-step explanation:
The statement "The bank has the best decors and paintings in their branch" should not be one of Macky's reasons for choosing a bank. While the appearance of a bank branch may be important to some customers, it is not a primary factor in choosing a bank account. Macky should focus on more important factors such as interest rates, fees, customer service, and overall financial stability of the bank.
Find the product or type
"impossible"
1
-4
2114 1
?] [
[1]
Enter
The solution of the matrix product is:
[tex]\left[\begin{array}{ccc}4&0\\-16&-7\\\end{array}\right][/tex]
How to find the product?Remember that the general product between two 2by2 matrices can be written as:
[tex]\left[\begin{array}{ccc}a_{11}&a_{12}\\a_{21}&a_{22}\\\end{array}\right] *\left[\begin{array}{ccc}b_{11}&b_{12}\\b_{21}&b_{22}\\\end{array}\right] = \left[\begin{array}{ccc}a_{11}*b_{11} + a_{12}*b_{21}&a_{11}*b_{12} + a_{12}*b_{22}\\...&...\\\end{array}\right][/tex]
So we multiply the the rows of the first matrix by the columns of the second one, then our product will be:
[tex]\left[\begin{array}{ccc}1&2\\-4&3\\\end{array}\right] *\left[\begin{array}{ccc}4&1\\0&-1\\\end{array}\right] = \left[\begin{array}{ccc}1*4 + 2*0&1*1 + 2*-1\\-4*4 + 3*0&-4*1 + 3*-1\\\end{array}\right]\\\\= \left[\begin{array}{ccc}4&0\\-16&-7\\\end{array}\right][/tex]
That is the solution of the product.
Learn more about the matrix product at:
https://brainly.com/question/94574
#SPJ1
Please helppppp this is due tomorrow
Answer:
3/8
Step-by-step explanation:
Two triangles = one square
Since there are 4 squares, then there are 8 triangles
We see one triangle is shaded.
We also see one square is shaded, which means 2 triangles are shaded.
2 + 1 = 3 triangles shaded. Since there are a total of 8 triangles, then the fraction would be 3/8
drag each title to the correct box not all titles will be used find the increasing functions then arrange the increasing order from least to greatest rate of change
On solving the provided question we cans ay that the increasing order of the function is y = 5/2x +10 < y = 3/2x+1/2 < y = 1/2x - 2 < y = 3/4x - 7/3 < y = -1/2x + 1/2 < y = 3/2x - 11/2
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
the increasing order of the function is
y = 5/2x +10 < y = 3/2x+1/2 < y = 1/2x - 2 < y = 3/4x - 7/3 < y = -1/2x + 1/2 < y = 3/2x - 11/2
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
Shelly is standing on a platform 100 feet above the ground. She fosses a baseball straight up into the air. The =-16t² +64 +100 models the ball's height h above the ground t seconds after it was thrown. How long will it take for the ball to reach its maximum height above the ground? seconds What is the maximum height the ball reaches? feet How many seconds does it take for the ball to finally hit the ground (rounded t the nearest tenth of a second)? seconds EITHER Type here to search 37°F
The maximum height the ball reaches is 132 feet.
What is the maximum height the ball reaches?A ball is tossed upward, and the height H is calculated as follows:
h(t)= 1/2 gt 2 +V 0 t +H 0.
t is the amount of time spent.
The equation in this instance is expressed as h(t)=16t 2 +64t +100.
The solution of the equation h=0 gives the time t at which the item strikes the ground if h(t) is zero, which implies that the ball is at the ground at h=100.
h=−16t 2 +64t+100
h=−16(t 2 + 2+ 2)+ 100−(−16×2 )
h=−16(t−2) 2 + -100 − (−32)
h=−16(t−2 ) 2 +132
The vertex is (2 ,132 ), therefore, the maximum height is 132 feet.
The maximum height the ball reaches is 132 feet.
To learn more about maximum height refer to:
https://brainly.com/question/12446886
#SPJ1
-4
Write 2 with out exponent
The number -4 as an exponent of 2 is is (√-4)^2
How to express the expression as an exponentFrom the question, we have the following parameters that can be used in our computation:
-4
Express the exponent of teh expression as 1
So, we have the following representation
-4^1
Express 1 as 2/2
-4^2/2
So, we have
(√-4)^2
Hence, the solution is (√-4)^2
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
kim and sam went to mexico restaurant for lunch the total bill including tip was 25.46. They left 3.82 for a tip. What percent tip did kim and sam leave
The percentage of the tip at the restaurant will be 15%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Kim and sam went to a Mexican restaurant for lunch the total bill including tip was 25.46. They left 3.82 for a tip.
The percentage of the tip will be calculated as:-
Percentage = 3.82 / 25.46
Percentage = 0.15 x 100
Percentage - 15%
Hence, the percentage of the tip at the restaurant will be 15%.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ1
The points A, B, and C, shown on the number line, have weights 0.5, 0.3, and 0.2 respectively.
H
в с
2 3 4 5 6 7 8
9 10
Which statement is true about the weighted average, w, of the points A, B, and C?
w lies before A.
w lies beyond C.
w lies between A and B.
w lies between B and C.
Answer:
"w" (and any subsequent words) was ignored because we limit queries to 32 words.
w = 0.33 so, w lies before A, B, and C.
Option A is the correct answer.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
Average weight.
w = Sum of all the weight / 3
w = (0.5 + 0.3 + 0.2) / 3
w = 1/3
w = 0.33
Now,
A = 3, B = 6, and C = 7 on the number line.
0.33 lies before A, B, C
Thus,
w lies before A.
Learn more about number line here:
https://brainly.com/question/13425491
#SPJ2
PLS ANSWER QUICK CORRECTLY!!!! help ya girl ouu!
what is the period of the sinusoidal function? enter your answer in the box.
The graph would replicate itself starting at (0,0) if we wanted to start there (4,0).
What is meant by sinusoidal function?A sine function, a periodic function that oscillates smoothly between high and low values, serves as the foundation for a sinusoidal function. Cosine functions can also be used as the foundation for sinusoidal functions because they are essentially a horizontal shift of sine functions.
We must establish the amplitude, period, and vertical shift of the periodic phenomenon in order to establish a sinusoidal function that models it. Determining whether to utilize a sine or a cosine function and the ensuing phase shift is also necessary.
The interval over which the graph repeats itself can be inferred from the graph. The graph would replicate itself starting at (0,0) if we wanted to start there (4,0). So, four is the era.
To learn more about sinusoidal function refer to:
https://brainly.com/question/29529184
#SPJ1
Find the average rate of change of g(x)= -1x^3+2 from x=-1 to x=4
The average rate of change of g(x) = -x3 + 2 is therefore -51/5 from x = -1 to x = 4.
How is rate of change determined?The slope of the secant line connecting two points on a function across an interval represents the average rate of change of that function over that interval. We must determine the slope of the secant line that connects the points (-1, g(-1)) and (4, g(4)) in order to calculate the average rate of change of g(x) = -x³ + 2 from x = -1 to x = 4.
g(-1) = -(-1) (-1)
4³ + 2 = -1 + 2 = 1 \sg(4) = -4^3 + 2 = -52 + 2 = -50
The secant line's slope is therefore ((-50) - 1) / (4 - (-1)) = -51 / 5
Learn more about Quadratic equations visit:
brainly.com/question/30098550
#SPJ1
in the figure, OA/OC=OB/OD=1/4. the value of DC is 120 by the SAS test
The value of DC is of 80, hence the statement is false.
What are similar triangles?Similar triangles share these two features listed as follows:
Congruent angles, that is, angles that have the same measure.Proportional side lengths.The similar triangles for this problem are given as follows:
AOB and COD.
Hence the proportional relationship established between the side lengths is given as follows:
OA/OC = OB/OD = 1/4 = AB/DC.
Taking the last two terms, considering that AB = 20 cm, the length of DC is given as follows:
DC = 4 x AB
DC = 4 x 20 cm
DC = 80 cm.
Hence the statement is false, as the length is of 80 cm and not of 120 cm.
More can be learned about similar triangles at brainly.com/question/11920446
#SPJ1
The A minor scale uses the white notes on the keyboard from A to A, but with G# instead of G.
A. True
B. False, the A minor scale uses all the white and black notes from C to C
C. False, the A minor scale uses the black notes on the keyboard from A to A
D. False, the A minor scale uses the white notes on the keyboard from C to C
"The A minor scale uses the white notes on the keyboard from A to A, but with G# instead of G." is True Option A
What is a minor scale?Generally, The tonic of a minor scale, which is the first note of the scale, is located a minor third above the root note of the scale. A minor scale is a sort of musical scale that consists of seven notes.
The A minor scale is a 7-note, the diatonic scale made up of the notes A, B, C, D, E, F, & G. It's the only minor scale that doesn't contain any sharps or flats.
A Natural Minor is A, B, C, D, E, F, G, A. Notice that the A Natural Minor Scale has no notes with accidentals. Let's build a G# Natural Minor Scale. Our starting note will be G#.
Therefore, Option A is true
Read more about minor scale
brainly.com/question/16468105
#SPJ1
PLEASE ASAP, DUE TODAY
Randy needs to buy school supplies. He needs a headset that costs $30.00. He also needs notebooks that cost $3.00 each.
Part 1
Complete the table to determine his total cost for a given number of notebooks.
Format your response using 2 decimal places and NO symbols. Example: 25.00
The terminal side of angle θ intersects the unit circle in the first quadrant at (9/25,y). What are the exact values of sinθ and cosθ?
The exact values of the unit circle is cos θ = 9/25 and sin θ = ( √544/25 )
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
Given data ,
The terminal side of angle θ intersects the unit circle in the first quadrant at ( 9/25 , y )
So , the equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Substituting the values of x and y in the equation , we get
( 9/25 )² + y² = 1²
On simplifying the equation , we get
( 81/625 ) + y² = 1
Subtracting ( 81/625 ) on both sides of the equation , we get
y² = 544/625
Taking square roots on both sides of the equation , we get
y = √544/25
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
So , the value of cos θ = 9/25 and sin θ = ( √544/25 )
Hence , the equations are solved
To learn more about circle click :
https://brainly.com/question/28391204
#SPJ1
315, 000 ÷ 900 =
A 314,100
B 3,500
C 35,000
D350
Answer:A. 315,000 ÷ 900 = 350
Step-by-step explanation:
A. 315,000 ÷ 900 = 350
Allison is evaluating the expression Negative 5 minus (negative 2) using integer tiles. She begins with 5 negative tiles as shown. HELP...
5 negative tiles.
What should Allison do next to find the value of the expression?
remove 2 negative tiles
remove 3 negative tiles
add 2 negative tiles
add 7 negative tiles
The value of the expression is -3.
What is integer tiles?Integer tiles are one way of using a material representation to introduce the concept of adding and subtracting integers.
This model can be useful for working on the type of problem that many students find harder, that is, problems like -4 + -5.
Given that, Allison is evaluating the expression Negative 5 minus (negative 2) using integer tiles.
Allison has 5 negative tiles
So,
she needs to remove 2 negative tiles,
then, subtract -2 to 5 to get left 3 negative tiles.
(-5) -(-2) = (-5+2)
= -3
Hence, The value of the expression is -3.
Learn more about integer tiles, click;
brainly.com/question/3413831
#SPJ1
Answer:
its actually remove 2 negative tiles
Step-by-step explanation:
i did it on my exam
Work out the following sheet
<NOM = 59° (vertically opposite angles)
<STU = 96°(Exterior angle of a triangle)
What is the Theorem of triangles?There are mathematical statement that can be used to show the relationships between the sides of the triangle this is what we call the theorems of the triangle.
In question 1; Angle NOM = 59° because it is vertically opposite angle POQ
In question 2; Angle UVT = Angle VUT = 42°
Angle UTV = 180 - 2(42)
= 96°
Then;
Angle STU = 96° (This is because the angle STU is the sum of the interior opposite angles.).
Learn more about angles:brainly.com/question/28451077
#SPJ1
Expression equivalent to X^5 - 2x^4 + x^3
Using the variable n, write an expression that means the same as 15 more than a number.
The expression "15 more than a number" can be represented using the variable n as n + 15.
The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
The variable mentioned in the question is n.
To write an expression for 15 more than a number, we have to add the number with 15.
So,
Expression = 15 + n
Thus, the expression "15 more than a number" can be represented using the variable n as n + 15.
Learn more about models here:
https://brainly.com/question/22591166
#SPJ1
A first-time homebuyer is comparing mortgage rates.
Option A offers the homebuyer 5.25% annual simple interest.
Option B offers the homebuyer the same interest rate but compounded semiannually.
If the repayment period is the same length for both loans, which option will result in the least amount of interest added to the loan?
O Option A will have the least amount of interest because simple interest generates earnings from both principal and interest.
O Option A will have the least amount of interest because simple interest generates earnings from principal only.
O Option B will have the least amount of interest because compound interest generates earnings from principal only.
O Option B will have the least amount of interest because compound interest generates earnings from both principal and interest.
If the repayment period is the same length for both loans, the interest option that will result in the least amount of interest added to the loan is B. Option A will have the least amount of interest because simple interest generates earnings from principal only.
What is the simple interest?The simple interest is the interest system that does not compute interest on accumulated interest.
Unlike simple interest, compound interest charges interest on accumulated interest.
Thus, the simple interest system applies the interest rate on the principal only for each period to determine the amount of interest.
Learn more about the simple and compound interests at https://brainly.com/question/2277782
#SPJ1
Answer: Option A will have the least amount of interest because simple interest generates earnings from principal only.
Step-by-step explanation: because it says it’s right on the computer;p
Mr.Bhavsar is buying a new Star Wars costume.it priced at $82 but he had a coupon for 25% off.the costume is subject to a 6% tax, and Mr.bhavsar has to pay $7 in shipping for his total order
The total cost of Mr.Bhavsar's order after the coupon for 25% off, a 6% tax, and $7 shipping will be $72.19.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The cost of the new Star Wars after a coupon for 25% off and a 6% tax will be given as,
⇒ $82 x (1 - 0.25) x (1 + 0.06)
⇒ $82 x 0.75 x 1.06
⇒ $65.19
The total cost after shipping will be given as,
Total cost = $65.19 + $7
Total cost = $72.19
The total cost of Mr.Bhavsar's order after the coupon for 25% off, a 6% tax, and $7 shipping will be $72.19.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ1
S.P. = Rs. 210 C.P. = Rs. 190 then Profit =
Answer:
SP-CP=PROFIT
210-190=20
the profit is 20
Step-by-step explanation:
Answer:
Rs 20
Step-by-step explanation:
S.P. (Selling Price) is the price at which a product is sold. C.P. (Cost Price) is the price at which a product is purchased. When S.P. is greater than C.P., it results in a profit. To calculate profit, the formula is simple:
Profit = S.P. - C.P.
In this case, S.P. is Rs. 210 and C.P. is Rs. 190. So, the profit would be calculated as:
Profit = Rs. 210 - Rs. 190 = Rs. 20.
Find the equation of the circle shown
Check the picture below.
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{-5}{h}~~,~~\underset{5}{k})}\qquad \stackrel{radius}{\underset{5}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - (-5) ~~ )^2 ~~ + ~~ ( ~~ y-5 ~~ )^2~~ = ~~5^2\implies \boxed{(x+5)^2 +(y-5)^2 = 25}[/tex]
Suppose that the relation G is defined as follows.
G= {(1,-4), (9,0), (-4,6), (9,8)}
Give the domain and range of G.
Write your answers using set notation.
WILL GIVE BRAINLIEST TO QUICKEST ANSWERS
Answer:y = 4x-5.
Step-by-step explanation:
222222222222222222222
A basketball player who has made 70% of his foul shots during the season gets to take 5
shots in the first playoff game. Assuming the shots are independent, what’s the probability
that he makes:
• exactly 3 of the 5 shots? • exactly 4 of the 5 shots? • all 5 shots? • 3 or 4 of the shots?
a) The probability that the player makes exactly 3 of the 5 shots = 0.3087
b) The probability that the player makes exactly 4 of the 5 shots = 0.36015
c) The probability that the player makes all 5 shots = 0.16807
d) The probability that the player makes 3 or 4 of the shots = 0.66885
What is a Binomial Distribution?The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.
The formula for Binomial Distribution is given by
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
where
n = number of trials
x = number of successes
p = probability of getting a success in one trial
q = probability of getting a failure in one trial
q = 1 - p
Given data ,
Let the probability be represented as P
The total number of trials n = 5
The probability of getting a success p = 0.70
The probability of getting a failure q = 0.30
Now , the equation will be
a)
The probability that the player makes exactly 3 of the 5 shots = A
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
n = 5
x = 3
Substituting the values in the equation , we get
A = ⁵C₃ ( 0.70 )³ ( 0.30 )²
A = 10 ( 0.343 ) ( 0.09 )
A = 0.3087
So , probability that the player makes exactly 3 of the 5 shots is 0.3087
b)
The probability that the player makes exactly 4 of the 5 shots = B
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
n = 5
x = 4
Substituting the values in the equation , we get
B = ⁵C₄ ( 0.70 )⁴ ( 0.30 )¹
B = 5 ( 0.2401 ) ( 0.3 )
B = 0.36015
So , probability that the player makes exactly 4 of the 5 shots is 0.36015
c)
The probability that the player makes all 5 shots = C
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
n = 5
x = 5
Substituting the values in the equation , we get
C = ⁵C₅ ( 0.70 )⁵ ( 0.30 )⁰
C = 0.16807
So , probability that the player makes all 5 shots is 0.16807
d)
The probability that the player makes 3 or 4 of the shots = D
D = A + B
D = 0.3087 + 0.36015
D = 0.66885
Hence , the probability is solved
To learn more about binomial distribution click :
https://brainly.com/question/29350029
#SPJ1
You have 10 gallons of lemonade to sell. (1 gal ≈
3785 cm3) Each customer uses one paper cup. How many paper cups will you need?
Number of packs of cups to be purchased = 5 packs and Number of cups remaining if 80% lemonade is sold = 85 cups.
What are the two equations for a cone's volume?The volume of cone is calculated using the formula (1/3)r2h, where "h" stands for the cone's height and "r" for the base radius. As a result, (1/3)r2 is the cone's volume in terms of the slant height "L." (L2 - r2).
Volume of a cone:Volume of a cone is given by the expression,
V = 1/3πr²h
Here,
r = radius of the cone
h = Height of the cone
Radius of the cone = = 4 cm
Height of the cone = 11 cm
Amount of lemonade = 10 gallons
Volume of one cone = 1/3π(4)²× 11
= 184.307 cm³
Covert the gallons into cubic cm,
∵ 1 gallon = 3785 cm³
∴ 10 gallons = 37850 cm³
∵1 cones are represented by a volume of 184.307 cm3.
∴ 1 cm³ will represent the volume = 1/184.307 cup
∴ 37850 cm³ will represent the volume = 37850/184.307 cups
= 205.36 cups
= 205 cups
Therefore, number of packs of cups to be bought = 205/50
= 5 packs
b). If 80% of the lemonade are sold, amount of lemonade sold = 10 × 80/100
= 8 gallons
Volume of 8 gallons lemonade in cm³ = 8 × 3785
= 30280 cm³
Therefore, number of cups to be used = 30280/184.307 cups
= 164.29 cups
≈ 164 cups
Number of cups purchased = 250
And there are 250 cups left after subtracting 164.
= 86 cups
Therefore, number of cups remaining are 86 cups.
To know more about Volume of cone visit:-
https://brainly.com/question/22334719
#SPJ1
PLEASE HELP!!!!!
Given that RS=18 and QR=6, identify the length of PS
Answer:
12 root 3
Step-by-step explanation:
first, you can say that QRP is similar to PRS
with the ratios, you can say that
[tex]\frac{QR}{PR} = \frac{PR}{RS}\\[/tex]
by substituting values, you have
[tex]\frac{6}{PR} = \frac{PR}{18}\\[/tex]
[tex]PR^2=108[/tex]
[tex]PR=6\sqrt{3}[/tex]
using pythagorean theorem, you can determine that
[tex]PS^2=(6\sqrt{3})^2+18^2[/tex]
[tex]PS^2=432[/tex]
[tex]PS=\sqrt{432}=12\sqrt{3}[/tex]
Answer:
12√3
Step-by-step explanation:
cos∠RSP = 18/PS
cos∠PSQ = PS/24
∠RSP=∠PSQ (the angle at S)
18/PS = PS/24
(PS)² = (18)(24) = 432
PS = √432 = 12√3
a fruit fly population doubles every hour. If the population starts at 6 how many will there be after 4 hours
On solving the provided question, we can say that A Equation is[tex]y=100/3 e^{(ln3/2) t}[/tex]
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
[tex]Y= ce^{kt}[/tex]
Sub in [tex]300= ce^{4k}[/tex]
[tex]100= ce^{2k}[/tex]
Divide to get[tex]3= e^{2k[/tex]
Take log of both sides ln3= 2k lne
So k=ln3/2
We now have y=ce^(ln3/2)t
Sub in to solve for t
100= ce^ln3
c=100/3
A Equation is[tex]y=100/3 e^{(ln3/2) t}[/tex]
B At t=0 there were approx 100/3 or 33 filies.
C After 10 days there will be 100/3 e^(ln3)/2 *10 or approx 8100 flies.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1