Answer: i think it is either A B C or D
Step-by-step explanation: So i know that there are 4 answers so that means one of the four answers are correct........ well i hope that one is correct
What is the number of possible options for each situation?
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the method of getting possible options.
When asked to find the number of possible options, this is a permutation problem. Therefore, we use the permutation formula.
[tex]^nP_r=\frac{n!}{(n-r)!}[/tex]STEP 2: Solve the first question
[tex]\begin{gathered} ^nP_r=\frac{n!}{(n-r)!} \\ For\text{ the first question, n=}45,r=3 \\ ^{45}P_3=\frac{45!}{(45-3)!}=\frac{45!}{42!}=\frac{45\times44\times43\times42!}{42!} \\ \Rightarrow45\times44\times43=85140 \end{gathered}[/tex]There are 85140 possible options.
STEP 3: Solve the second question
[tex]\begin{gathered} ^nP_r=\frac{n!}{(n-r)!} \\ n=7,r=5 \\ ^7P_5=\frac{7!}{(7-5)!}=\frac{7!}{2!}=2520 \end{gathered}[/tex]There are 2520 possible options.
STEP 4: Solve the third question.
[tex]\begin{gathered} ^nP_r=\frac{n!}{(n-r)!} \\ n=11,r=9 \\ ^{11}P_9=\frac{11!}{(11-9)!}=\frac{11!}{2!}=19958400 \end{gathered}[/tex]There are 19958400 possible options.
STEP 5: Solve the fourth question
[tex]\begin{gathered} ^nP_r=\frac{n!}{(n-r)!} \\ n=20,r=4 \\ ^{20}P_4=\frac{20!}{(20-4)!}=\frac{20!}{16!}=\frac{20\times19\times18\times17\times16!}{16!}=20\times19\times18\times17=116280 \end{gathered}[/tex]There are 116280 possible options
What is the equation of the line with an x-intercept of -2 and a y-intercept of 1?
y=-3x+1
y=x+1
y=2x+1
Answer:
I get the equation
y = [tex]\frac{1}{2}[/tex] x + 1
Step-by-step explanation:
The x intercept would be (-2,0)
The y intercept would be (0,1)
The slope is the change in y over the change in x.
The y's are 1 and 0
The x's are 0 -2
[tex]\frac{1-0}{0- -2}[/tex] = [tex]\frac{1}{2}[/tex] Now that we have the slope, we need the y intercept and we have been given that as 1.
y = mx +b We substitute in the slope of 1/2 and the y intercept of 1
y = 1/2x + 1
Evaluate
3^-2
???????
Answer:1/9
Step-by-step explanation:
Ok so you probably know 3^2 is 9
But since its negative you would reverse it so the answer is
1/9 or about 0.1 if you want it in decimal
Simplify by combining like terms: -5m + 9 + 2m - 4
Given data:
The given expression is -5m + 9 + 2m - 4.
The given expression can be written as,
[tex]\begin{gathered} -5m+9+2m-4=(-5m+2m)+9-4 \\ =-3m+5 \end{gathered}[/tex]Thus, the given expression can be written as -3m+5.
MHS Student Bookmarks Kami Export - How10.4 ReviewA group of 80 trees in a forest aren't growing properly. A botanist determines:• 68 of the trees have a disease or are being damaged by insects• 54 of the trees have a disease• 30 of the trees are being damaged by insectsWhat is the probability that a randomly selected tree has both a disease and is being damaged by insects?0꾧00 %0o1720ΟΟΟRE10123 9 5
Let the event that a tree has disease be D and the event that tree is being damaged by insects be I.
Therefore,
[tex]\begin{gathered} |D|=54 \\ |I|=30 \\ |D\cup I|=68 \\ \end{gathered}[/tex]Recall that:
[tex]\begin{gathered} |D\cup I|=|D|+|I|-|D\cap I| \\ 68=54+30-|D\cap I| \\ \text{ Therefore,} \\ |D\cap I|=84-68=16 \end{gathered}[/tex]The required probability is given by:
[tex]\frac{|D\cap I|}{80}=\frac{16}{80}=20\%[/tex]Hence, the required probability is 20%=0.2
Ethan goes to the park. the park is 85km away from his house towards south. After 2 minutes, Ethan is 195km away from his house towards west. Find Ethans velocity
ANSWER:
g. 1.77 km per sec
STEP-BY-STEP EXPLANATION:
To calculate the velocity we must apply the Pythagorean theorem to first calculate the distance between the starting point and the end point, since a right triangle is formed
[tex]\begin{gathered} h^2=85^2+195^2 \\ h^2=7225+38025 \\ h=\sqrt[]{45250} \\ h=212.72 \end{gathered}[/tex]Velocity is distance over time, therefore
[tex]\begin{gathered} v=\frac{212.72}{2}= \\ v=106.36 \end{gathered}[/tex]The speed is 106.36 km per minute, if we calculate the speed per kilometers per second it would be:
[tex]106.36\cdot\frac{\operatorname{km}}{\min}\cdot\frac{1\min}{60\sec}=1.77\cdot\frac{\operatorname{km}}{\sec }[/tex]Which means that the speed is 1.77 kilometers per second, that is, the answer is g. 1.77 km per sec
Use the given information to prove that AABC-AEDC. E А CA CB Given: CD Prove: A ABC - AEDC
As given that:
[tex]\frac{CA}{CE}=\frac{CB}{CD}[/tex]Angle CAB and angle CED are right angles according to given diagram.
E bisects CA and D bisects CD.
E is perpendicular bisector of CA.
AS E and D are bisects CA and CD then they are midpoints of CA and CD respectively.
So according to all these statements ABC ~ EDC
Yes Angle CAB is a right angle.
A pencil at a stationery store costs $1, and a pen costs $1.50. Shawn spent $12 at the store. He bought a total of 9 items. Which system of equations can be used to find the number of pencils (x) and pens (y) he bought? 1.5x + y = 12x = 9yx + 1.5y = 12x + y = 9x + 9y = 12x = 1.5y9x + y = 12x = 1.5y
So, let's create the equations
[tex]\begin{gathered} x+y=9 \\ 1x+1.5y=12 \end{gathered}[/tex]x are the pencils and y are the pens, which in total were 9
Then, we have to multiply the price of each by the amount x and y to have the total of 12 dollars
Luke purchased a pair of Skullcandy earbuds for 24.95 dollars the sale tax is 7.25% 10 how much tax did he pay on the earbuds?a) $1.08b) $1.80c) $1.88d) $1.81
$1.81 (option D)
Explanation:The cost of Skullcandy earbuds = $24.95
sale tax = 7.25% = 0.0725
Tax = The cost of Skullcandy earbuds × sales tax
Tax = 24.95 × 0.0725
Tax = 1.8089
Tax he paid for the earbuds = $1.81 (option D)
. Jill is 48 5/8 inches tall. Lei is 47.5 inches tall. What is the difference in their heights? a. 0.125 inches b. 1.08 inches c. 1.125 inches d. 1.62 inches (5.N.3.3)
Explanation:
First we write the fraction as a decimal. 5/8 is 0.625, so the height of Jill is 48.625 inches.
The difference is:
[tex]48.625-47.5=1.125[/tex]Answer:
c. 1.125 inches
Find the total surface area of this triangular prism.
13 cm
12 cm
15 cm
20 cm
5 cm
9 cm
Rachelle is diving from a platform 33 feet above the water. Her height in feet above the
water during the dive can be modeled using h(t) = -16t2 + 8t + 33, where t is the
time in seconds after she jumps from the platform.
Enter Rachelle's average upward velocity for two different sections of her dive
and use the drop-down menus to complete the statements about her average
upward velocity over these intervals.
Therefore , the solution of the given problem of function comes out to be Rachelle's average upward velocity was -4 ft/s and 20 ft/s, respectively.
What does the term function mean?The mathematical curriculum covers a variable of subjects, including numbers, codes, and their constituent parts, as well as structure, construction, and both real and imagined geographic locations. A function explains the connections between various parts expression that all contribute to the same outcome. A utility is composed of an array of unique parts that, when combined, result in particular outcomes for each input.
Here,
For the first part of Rachelle's descent, the average upward velocity is equal to
=> t = -b/2a = -8/(-32) = 0.25.
As a result, the first part of the dive's typical upward velocity is:
=> (0 - 8)/2 = -4 ft/s
For the second part of Rachelle's descent, the average upward velocity is determined by h(t) = -16t2 + 8t + 33.
Finding the instant when h(t) = 0 is necessary (when Rachelle hits the water). We can accomplish this by finding t:
=> -16t² + 8t + 33 = 0
The quadratic algorithm yields:
=> t = (-8 √(784))/(-32)
=> 1.5 or -1.125
We can enter t = 1.5 into the equation h'(t) to determine her immediate velocity at this point:
=> h'(1.5) = -32(1.5) + 8 = -40 ft/s
As a result, the second portion of the dive's average upward velocity is:
=> (0 - (-40))/2 = 20 ft/s
Thus, over the first portion of her dive and the second section of her dive, Rachelle's average upward velocity was -4 ft/s and 20 ft/s, respectively.
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PLS SHOW WORK AND U WILL GET BRAINLIEST ANSWER A corner lot that originally was square lost 185 m² of area when one of the adjacent syreets what is wide by 3 m and the other was widnened by 5 m find the new dimensions of the lot
The new dimensions of the lot is length = 22 meters and width = 20 meters
The corner lot that originally was square
Consider the side of the lot = x
The area of the square = Length × length
Therefore,
x * x = x²
one of the adjacent streets which is widened by 3 m and the other was widened by 5
Therefore
(x-3) × (x-5) = x² - 185
x² - 5x - 3x + 15 = x² - 185
-5x - 3x = -185 - 15
-8x = -200
x = 25 meter
The new length of the lot = x-3
= 25-3
= 22 meter
The new width of the lot = 25-5
= 20 meters
Hence, the new dimensions of the lot is length = 22 meters and width = 20 meters
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What is the starter point increasing between What is the turtles starting point constant between seconds What is the turtles distant from his starting point decreasing between
A) The distance increases between starting and 6 seconds.
B) The distance is constant between seconds 6 and 8.
C) The distance decreases between seconds 8 and 12
At what value of x(in megabytes) will A(x)=0? Show all of your work details
ANSWER :
204.082 megabytes
EXPLANATION :
From the problem, we have the equation :
[tex]A(x)=\frac{100}{\sqrt[]{x}}-7[/tex]Solve for x when A(x) = 0.
That will be :
[tex]\begin{gathered} 0=\frac{100}{\sqrt[]{x}}-7 \\ 7=\frac{100}{\sqrt[]{x}} \\ \text{Cross multiply :} \\ 7\sqrt[]{x}=100 \\ \sqrt[]{x}=\frac{100}{7} \\ \text{Square both sides :} \\ x=(\frac{100}{7})^2 \\ x=204.082 \end{gathered}[/tex]The value of x is 204.082
Based on this picture, can you help solve the drop down
Given:
A graph of bell peper patch is given as below
Find:
we have to find the Maximum possible area of bell peper patch represented by the function p corresponding to the length of the tomato patch x.
Explanation:
From the given graph of function p(x), it is observed that the function has maximum value at x = 6.
Therefore, when x = 6, we get
[tex]\begin{gathered} p(6)=-0.5(6)^2+6(6) \\ p(6)=-0.5\times36+36 \\ p(6)=-18+36 \\ p(6)=18 \end{gathered}[/tex]as the function p represents the area of the bell peper patch,
Therefore, Maximum possible area of the bell peper patch is p = 18 square feet, when the length of the zomato patch is x = 6 feet.
chris and Hillary are remodeling their family room. They are deciding on the flooring, sofa and TV. How many possible combinations are shown in the tree diagram?
SOLUTION
Consider the image shown:
From the image it can be seen that there are 12 combinations
Therefore there are 12 combinations
Hi i need help what would be the 60th term in this sequence 4, 8, 12, 16, 20...NUMBER ELEVEN
Given the arithmetic sequence in the question, we can deduce that the common difference, d, is 4 and the first term, a1, is 4. The below formula will be used to solve for the 60th term of the sequence;
[tex]a_n=a_1+(n-1)d[/tex]Where a1 = first term = 4
d = common difference = 4
n = number of term = 60
Let's go ahead and substitute the given values into our equation;
[tex]\begin{gathered} a_{60}=4+(60-1)4 \\ =4+(59)4 \\ =4+236 \\ =240 \end{gathered}[/tex]Therefore, the 60th term of the sequence is 240.
The question is:Find the total surface area of the rectangular prism.A. 546 in^2B. 480 in^2C. 238 in ^2D. 250 in^2
The formula for determining the total surface area of a rectangular prism is exprssed as
Total surface area = 2lw + 2lh + 2wh
Where
l = length = 11 inches
w = width = 5 inches
h = height = 4 inches
Therefore,
Total surface area = 2(11 * 5) + 2(11 * 4) + 2(5 * 4)
Total surface area = 110 + 88 + 40
Total surface area = 238 in^2
The correct option is C
Given triangle DEF similar to triangle GHF. Enter segments in the blanks provided that would result in a true equation.
Given:
The triangles DEF is similar to GHF.
The objective is to find a similar ratio of DF/DE.
Explanation:
Using the basic proportionality theorem, for the similar triangles DEF and GHF,
[tex]\frac{DE}{GH}=\frac{DF}{GF}=\frac{EF}{HF}\text{ . . . . .. .(1)}[/tex]Considering the first two ratios of equation (1),
[tex]\frac{DE}{GH}=\frac{DF}{GF}[/tex]On interchanging the segments further,
[tex]\frac{DF}{DE}=\frac{GF}{GH}[/tex]Hence, the required segment in the blanks is GF/GH.
x^2-4/x divided by x+2/x-2
The algebraic expression x^2-4/x divided by x+2/x-2 when simplified gives (x-2)²/x
How to simplify x^2-4/x divided by x+2/x-2?
The difference of two squares method will be useful to solve this algebraic expression
The difference of two squares is a method of factorising used when an algebraic expression includes two squared terms, one subtracted from the other: a² - b² = (a+b)(a-b)
x^2-4/x divided by x+2/x-2 is x²-4/x ÷ x+2/x-2
x²-4 = x²-2² = (x+2)(x-2). Thus:
x²-4/x ÷ x+2/x-2 = (x+2)(x-2)/x ÷ x+2/x-2
= (x+2)(x-2)/x × x-2/x+2 The (x+2) will cancel out
= (x-2)(x-2)/2
= (x-2)²/x
Therefore, x^2-4/x divided by x+2/x-2 simplies to (x-2)²/x
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A compound of two chemicals is mixed in the ratio of 3:10. If there are 45 L of the compound, how much of each chemical is in the mixture?
It is 135/13 l of the first chemical and 450/13 l of the second one.
A group of students were asked about there majors. Let B = Biology Majors M= Math Majors. Given r1 = 47r2 = 12r3 =4r4 = 7
(a) A total of 66 students were surveyed
(b) Those who are Math majors and not biology majors were 7
(c) Those who were neither math nor biology majors were 47
(d) Those who majored in both math and biology were 4
Andy and Emily each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Andy needs 21 feet of the wire. Emily needs 14 yards of the wire. How much will each of them spend for wire?
Cost of Wire
Length in Inches (x). cost in dollars.(y)
100 3.00
125 3.75
150 4.50
185 5.55
Andy will spend $ ? for his wire
Emily will spend $ ? for her wire
Using measurement conversions and mathematical operations, the costs for the two wire buyer are as follows:
Andy will spend $7.56 on his wireEmily will spend $15.12 for her wire.How are the costs determined?The first step in determining the costs spent by each buyer is to find the unit cost per inch.
Using the division operation, the unit cost for the given lengths remains at $0.03, respectively.
The second step involves converting the given measurements to inches, using the following measurement formulas:
1 yard = 36 inches
12 inches = 1 foot
1 yard = 3 feet
The last step is determining the product of inches of wire and the unit cost.
Cost of Wire
Length in Inches (x) Cost in dollars.(y) Cost per inch
100 3.00 $0.03 ($3.00/100)
125 3.75 $0.03 ($3.75/1125)
150 4.50 $0.03 ($4.50/150)
185 5.55 $0.03 ($5.55/185)
The length of wire Andy needs = 21 feet
21 feet = 252 inches (21 x 12)
252 inches of wire cost = $7.56 (252 x $0.03).
The length of wire Emily needs = 14 yards
14 yards = 504 inches (14 x 36)
504 inches of wire cost = $15.12 ($504 x $0.03).
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If it takes Mattew an hour to get to his friends house, and 2 hours if he drives 25 mph slower, how far away does his friend live?
Matthew's friend is located roughly 50 miles away.
What does a number's distance mean?Counting each number in between them is a quick and easy approach to determine how far apart two numbers are on a number line. Finding the distance by taking the absolute value of the values' difference is a quicker method.
The entire journey that an object has taken can be used to define distance.
For instance : By combining the speed and the time, one may compute the distance between two points. Based on the information provided, the following can be inferred:
Time required= 2 hours
Speed = 25 mph.
Therefore, the distance will be:
= Speed × Time
= 25 × 2
= 50 miles
As a result, Matthew's friend is located roughly 50 miles away.
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(h+4k)square
this is my question
Answer:
Step-by-step explanation:
Determine whether each ratio or rate is proportional. Explain your reasoning and write the proportion.#1) $18 for 3 bracelets; $30 for 5 bracelets#2) 120 calories in 2 servings; 360 calories in 6 servings
write an equation in slope-intercept form of the line having the given slope that contains the given point.
As a first step we are going to calculte the slope of CX:
C(0,3) and X(2, -1)
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-3}{2-0} \\ m=-\frac{4}{2} \\ m=-2 \end{gathered}[/tex]Slope of a perpendicular line is the negative reciprocal of the original line, in this case the line that passes through T(0, -2) has a slope of -(-1/2)=1/2
So, by the slope-point form of the equation, we can get the equation in slope-intercept form:
[tex]\begin{gathered} y-y_0=m(x-x_0) \\ y+2=\frac{1}{2}(x-0) \\ y=\frac{1}{2}x-2\text{ -> Slope-intercept form} \end{gathered}[/tex]What is the equation of the line that passes through the point (8, 2) and has a slope
of
3/
4
Answer:
y=3/4x-4
Step-by-step explanation:
y=3/4x+b
2=3/4(8)+b
2=6+b
-4=b
y=3/4x-4
What is the area of a rectangle that has a dimesion of 20m by 8mA. 160mB. 140mC.240mD.16.0m
A. 160 square meter
STEP - BY - STEP EXPLANATION
What to find?
Area of a rectangle with the given dimension.
Given:
• length = 20m
,• Width = 8m
To solve the given problem, we will follow the steps below:
Step 1
Recall the formula for determining the area of a rectangle.
[tex]A=l\times w[/tex]Where l is the length and w is the width.
Step 2
Substitute the values and simplify.
[tex]A=8\times20=160m^2[/tex]Therefore, the area is 160 square meter.