Answer:
Step-by-step explanation:
Given the information of the conical hat
diameter of 16 inches => Radius = 8 inches height of 9 inches=> the slant height of the hat is (use Pythagorean Theorem)
[tex]s^{2}[/tex] = [tex]r^{2} + h^{2}[/tex]
<=> [tex]s^{2}[/tex] = [tex]8^{2} + 9^{2}[/tex]
<=> s = [tex]\sqrt{145}[/tex]
The area (without the base area) of tissue paper will she need to make one hat is:
SA = πrs in2
<=> SA = π*8*[tex]\sqrt{145}[/tex] in2
<=> SA =8 [tex]\sqrt{145}[/tex] π
=> the total tissue paper will she need for 21 hats is:
SA*21
= 8 [tex]\sqrt{145}[/tex] π*21
= 6352,18 in 2
Which of the following numbers is closest to the mean of this distribution?
A. 5
B. 4
C. 3
D. 7
E. 9
Answer: 3
Step-by-step explanation: if you had the histogram..... the first is 14 and the second is 14 too, but the first one you divide by 4 because there are only 4 lines, so that gives you 3.5
The second one you divide by 5
So, 14 divided by 5 is
2.8
If you round both of these you should have around 3
Therefore, the answer is 3
A fish and wildlife management organization uses a GIS (Geographic Information System) to store and analyze data for the parcels of land it manages. All of the parcels are mapped on a grid in which 1 unit represents 1 acre. If the coordinates of the corners of a parcel are (-8, 10), (6, 17) and (2, -4), how many acres is the parcel? a. 150 acres c. 133 acres b. 125 acres d. 167 acres
Answer:
c. 133 acres
Step-by-step explanation:
Given: coordinates of the corners of a parcel are (-8, 10), (6, 17) and (2, -4)
To find: area of the parcel
Solution:
Using heron's formula,
area of triangle joining coordinates [tex](x_1,y_1),(x_2,y_2),(x_3,y_3)[/tex] is equal to [tex]\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]
Let [tex](x_1,y_1)=(-8,10)\,,\,(x_2,y_2)=(6,17)\,,\,(x_3,y_3)=(2,-4)[/tex]
Area of triangle (parcel) [tex]=\frac{1}{2}|-8(17+4)+6(-4-10)+2(10-17)|\\[/tex] [tex]=\frac{1}{2}|-8(21)+6(-14)+2(-7)|\\ =\frac{1}{2}|-168-84-14|\\ =\frac{1}{2}|-266|\\ =133\,\,acres[/tex]
answer the question for 10 points
Answer:
D. Division and Addition
Step-by-step explanation:
Suppose that a person's peak blood alcohol level is 0.07 (grams per 100 mL) and that this level decreases by 40% each hour. a) What is the hourly decay factor? b) Write an exponential function B(x)equalsCa Superscript x that models the blood alcohol level after x hours. c) Evaluate B(2) and interpret the result.
Answer:
Step-by-step explanation:
Considering a person peak blood is 0.07
It decrease by 4% every hour
a) Using exponential function
[tex]f(x) = Ca^x[/tex]
where,
a = 1 + r
r = -0.40%
Here,
C = 0.07,
a = 1 - 0.04 = 0.06
[tex]f(x)=0.07(0.6)^x[/tex]
Therefore, hourly decay factor is 0.6b)
Here the hourly decay factor is 0.6
[tex]B(x)=ca^x\\\\0.07(0.6)^x[/tex]
c) Evaluate
[tex]B(2)=0.07\times (0.6)^2\\\\0.07(0.36)\\\\= 0.0252g[/tex]
0.0252g or 100mL
Thus, after 2 hours the blood is 0.0252g or 100mLAnswer:
a) Hourly decay factor = 0.6
b) [tex]B(x) = 0.07(0.6)^x[/tex]
c) B(2) = 0.0252
This result means that the blood alcohol level will be 0.0252 (grams per 100 ml) after 2 hours
Step-by-step explanation:
Since the function is an exponential function, it can be modeled as:
[tex]B(x) = C (1 + r)^x[/tex]
Where the peak blood alcohol level, C = 0.07
Since the blood level decreases by 40%(0.4) every hour, r = -0.4
The hourly decay factor is given by a = 1 + r
a = 1 + (-0.4) = 1 - 0.4
a = 0.6
Therefore, the hourly decay factor = 0.6
b) The exponential function is:
[tex]B(x) = Ca^x[/tex]
Where a = 1 + r = 0.6
C = 0.07
[tex]B(x) = 0.07(0.6)^x[/tex]
c) Evaluate B(2)
Substitute x = 2 into the exponential function gotten in part (b)
[tex]B(2) = 0.07(0.6)^2\\B(2) = 0.0252[/tex]
This result means that the blood alcohol level will be 0.0252 (grams per 100 ml) after 2 hours
how would you go about doing this
Answer:
3.4x7.6 then divide by 2
Answer:
Step-by-step explanation:
the formula of a triangle is
b * h
2
so 7.6 * 3.4
=25.84/ 2
=12.92 cm²
Convert the rectangular equation x ^ 2 + y ^2 = 2 y to polar form
Answer:
Step-by-step explanation:
The main equivalence between rectangular and polar forms is
x^2 + y^2 = r^2, where r is the radius. Next, y = r sin Ф. Thus,
x^2 + y^2 = r^2 becomes r² = 2·r·sin Ф.
The variable r can be factored out partially: r = 2·sin Ф
This is the polar form of x^2 + y^2 = 2y.
Jack runs 7 tenths of a kilometre further than Whitney . How far does Jack run
Answer:
more than witney
Step-by-step explanation:
There are ten kids in a class. When any two meet, each says “hi” to the other and the answer “hi” follows. Before the class starts, how many times would one hear the word “hi”?
Answer: 20
Step-by-step explanation:
From the question, there are ten kids in a class and when any two meet, each kid says “hi” to the other kid and the answer “hi” follows.
The number hi one would hear before the class starts would be 10 multiplied by 2 because there are 10kids and 2 hi whenever the kids greet.
= 10 × 2
= 20hi
There will be 20 times the word hi would be heard
Answer:
90 times
Step-by-step explanation:
THIS IS CORRECT!!!!!!
7x^2-2x+1-(9x^2+2x-1)
Answer:
[tex]-2x^2-4x+2[/tex]
Step-by-step explanation:
[tex](7x^2-2x+1)-(9x^2+2x-1)=\\(7x^2-9x^2)+(-2x-2x)+(1+1)=\\-2x^2-4x+2[/tex]
Hope this helps!
The number of purses a vendor sells daily has the probability distribution represented in the table. Number of Purses, x 0 1 2 3 4 5 P(x) 0.35 0.15 0.2 0.2 0.03 0.07 If each purse sells for $50.00, what is the expected daily total dollar amount taken in by the vendor from the sale of purses? $1.62 $35.00 $79.30 $81.00 $162.00
Answer:
(D)$81
Step-by-step explanation:
Given that the number of purses a vendor sells daily has the probability distribution represented in the table.
Expected Value, [tex]E(x)=\sum_{i=1}^{n}x\cdot p(x)[/tex]
Therefore:
[tex]E(x)=(0X0.35)+(1X0.15)+(2X0.2)+(3X0.2)+(4X0.03)+(5X0.07)\\=0+0.15+0.4+0.6+0.12+0.35\\E(x)=1.62[/tex]
If each purse sells for $50.00, the number of expected daily total dollar amount taken in by the vendor from the sale of purses
=Expected Value X $50
=1.62 X $50
=$81
The correct option is D.
2. Solve ABC if a = 4, c = 7, and C = 90°. Use trig functions to find the
missing angles.
Answer:
The answer is 43.9822972 rad but you could just round and put 43.98
Step-by-step explanation:
Which number line shows the solution set to this inequality? -2x + 9 < x − 9
Answer:
see below
Step-by-step explanation:
-2x + 9 < x − 9
Add 2x to each side
2x-2x + 9 < 2x+x − 9
9 < 3x-9
Add 9 to each side
9+9 < 3x
18 < 3x
Divide each side by 3
18/3 < 3x/3
6 < x
Open circle at 6 line going to the right
Answer:6 to the right of the number line
Step-by-step explanation:I just did this quiz
How would you multiply a binomial using box method
Answer:
first you divide the larger number into its separate parts. Here, 23 becomes 20 and 3.
Next, you multiply each separate part — 20 x 7 and 3 x 7.
Finally, you add all the products together. 140 + 21 equals 161, the product of 23 x 7.
Step-by-step explanation:
Elana is programming a video game. She needs to simulate the power up that the player gets when they reach a certain level. The computer can run a program to return a random integer between 1 - 100. Elana wants the best power up to be rewarded 15% of the time. Explain how Elana can use the computer to simulate the player getting the best power up at least 2 out of 3 times
Answer:
You have to define when the power should be pushed up using the 'For' statement and let an impulse be sent to the CPU to increase power by 15%
Step-by-step explanation:
We use certain functions in writing computer programs.
For the 'For' statement ; we can define conditions. First Elana would define at what point does she want the player power to get the best power.
For example if she defines that when the player has played for 2hours return an integer 1 for instance.
This value returned will now send a pulse to the CPU to increase its power to 15%.
If the player plays for further 1hour she can define the count to be 10 and so send another pulse to the CPU to increase the processing power by additional 15%
Comeplete the equivalent equation of -7x-60=x(2)+10x
Answer:
[tex]3 \frac{3}{ 19} [/tex]
What point is symmetric to (2,7) on this quadratic graph?
OPTIONS
• (-5,0)
• (-2,4)
• (2,-1)
• (-6,7)
Answer: (-6,7)
Step-by-step explanation:
Tow points, (x1, y1) and (x2, y2) are simetric in a quadratic graph when:
f(x1) = y1 = f(x2) = y2
so y1 = y2
Then if we have the point (2,7) we want to find other point that has the same value for y, this is (-6, 7)
So the correct option is (-6,7)
Terry scored 71, 80, and 86 on his first three history tests. What must terry score on the fourth test to have a mean of exactly 80
Answer:
83
Step-by-step explanation:
You are trying to find the score that gives you a specific mean. A mean is calculated by dividing the sum of the data by the amount of data. Set up in this order, with x as the fourth score, to find the answer.
[tex]\frac{71+80+86+x}{4}=80\\\frac{237+x}{4} =80\\237+x=320\\x=83[/tex]
The fourth test score must be an 83.
Answer:
83
Step-by-step explanation:
Equation: 71 + 80 + 86 + x / 4 = 80
Add 71, 80, and 86 together.
237 + x = 80
Multiply 4 to both sides (cross multiplying).
237 + x = 320
Subtract 237 from both sides.
x = 83
Below are two parallel lines with a third line intersecting them.
Answer:
x = 88
Step-by-step explanation:
These angles are same side exterior angles, and when the lines are parallel, same side exterior angles are supplementary
x + 92 =180
Subtract 92 from each side
x+92-92=180-92
x =88
Answer:
[tex]88 \: \: degrees[/tex]
Step-by-step explanation:
[tex]x + 92 = 180 \\ x = 180 - 92 \\ x = 88 \: \: degrees[/tex]
PLZ HELP! I am stuck on his question.
The ages of two exercise groups at a local fitness center are listed below.
Group A: 37 36 32 41 42 36 44 45
Group B: 26 40 38 36 42 40 40 36
Which statement about the data is true?
The mean age is the same for both groups
The range of ages is greater in Group A than in Group B
The mode of the ages for both groups is 36
The median age is the same for both groups
Answer:
The median age is the same for both groups
Step-by-step explanation:
Group A:
37, 36, 32, 41, 42, 36, 44, 45
32, 36, 36, 37, 41, 42, 44, 45
Mean: (32+36+36+37+41+42+44+45)÷8=39.125
Range: 45-32=13
Mode: 36
Median: (41+37)÷2=39
Group B:
26, 40, 38, 36, 42, 40, 40, 36
26, 36, 36, 38, 40, 40, 40, 42
Mean: (26+36+36+38+40+40+40+42)÷8=37.25
Range: 42-26=16
Mode: 40
Median: (40+38)÷2=39
Only the median in both groups are the same.
Answer:
The median age is the same for both groups
Step-by-step explanation:
I just did the Exam!
Fill in the Blank 6:15=8:_
Answer:
20
Step-by-step explanation:
Math money help! Seventh grade. Please help, thank y’all! <3
Answer:
ABC store
Step-by-step explanation:
The abc store shoes are 18.02
Answer:
Lo-Price Shoes
Step-by-step explanation:
(60.05×30)÷100=
1801.5÷100=
$18.015
60.05-18.015=42.035
$42.035>$38.85
Lo-Price Shoes are still cheaper even with ABC's 30% discount.
On the Venn diagram, which region(s) represent the intersection of Set A and Set B (A∩B)?
Answer:
the middle. because it'sthe intersection of the circles
Answer:
ll
Step-by-step explanation:
the middle intersection point of i and just took the quiz
consider the word grateful. if all of the letters are used, how many ways can the letters be arranged?
a. 36
b. 720
c. 5,040
d. 40,320
Answer:
Correct option: d -> 40,320
Step-by-step explanation:
To find all the arrangements of letters in a word where all the letters are different, we just need to calculate the factorial of the number of letters.
The word "grateful" has 8 different letters, so the number of arrangements of letters is:
8! = 8*7*6*5*4*3*2 = 40,320 different arrangements
Correct option: d
MATH HOMEWORK HELP PLEASE I ONLY NEED 22 and 23 DONE
C. 0.42 I did this right before the pandemic
What are the leading coefficient, constant term and degree, if any, of the algebraic expression 7^x + 2x + 1? a. leading coefficient: 2; constant term: -1; degree: 2 c. leading coefficient: 2; constant term: 1; degree: -2 b. leading coefficient: -2; constant term: 1; degree: 2 d. none, expression is not a polynomial Please select the best answer from the choices provided A B C D I TRIED AND C IS WRONG
Step-by-step explanation:
Step 1: Answer the question
This algebraic expression is not a polynomial therefore, none of these options match except D. The reason why it is not a polynomial is because there is a 7^x which is not a polynomial expression. The expression needs to be expressed as a 7x^2 + 2x + 1. Therefore, the answer is D.
Answer: D, none
60 is 30 percent of what number
Answer:
50
Step-by-step explanation:
The solution of number is, 200.
We have to given that;
To find a number which is 30% of number is 60.
Let us assume that,
A number is, x
Hence, We can formulate;
⇒ 60 = 30% of x
⇒ 60 = 30/100 × x
⇒ 60 = 3x / 10
⇒ 600 = 3x
⇒ 3x = 600
⇒ x = 200
Thus, The solution of number is, 600
Learn more about the percent visit:
https://brainly.com/question/24877689
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The Captain has probability \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability \dfrac{1}{5}
5
1
start fraction, 1, divided by, 5, end fraction.
What is the mean?
97 3 0 4 7
Answer: 22.2
Step-by-step explanation: You have to add 97, 3, 0, 4, 7 and then then divide the total by how many numbers you added. So for this you would divide the total by 5
Which table correctly represents these functions?
Answer:
Graph C.
Step-by-step explanation:
C works the best when you plot the points on a graph, in reference to the functions provided...
*blue is the G(x) and red is the f(x) I believe*
Have a Great Day!
An ellipse is represented using the equation (x+5)^2/625+(y-7)^2/49= 1. Where are the foci of the ellipse located? Check all that apply
Answer: (-29,7) and(19,7)
Step-by-step explanation: