Answer:
7/17
Step-by-step explanation:
During a science lab, four-fifths of the class completed the lab and earned a grade of 100. What percent of the class didnt earn a grade of 100?
F. 60%
G. 80%
H. 20%
J.45%
Answer: H. 20%
Step-by-step explanation: if 4/5 got 100 then 80% got 100 so the other 20% did not get a 100
If 5cm and 3cm are added to the length and width of a square, the perimeter of the resulting rectangle is between twice and three times the perimeter of the original square. Find the possible lengths of the sides of the original square.
Answer:
The answer is between 2 and 4. 2 and 4 can be included if you are including the twice or three times. If it doesn't include those then it would only be anything inbetween.
Step-by-step explanation:
So to start off I would always give placeholder for all the sides. Lets label it x.
2(x+5) + 2(x+3) < 3(4x)
In the equation above, we created a simple equation with 2 representing 2 sides each and the 3 and 5 plugged in. That all is going to be less than 3 times the original perimeter which is 4x for the 4 sides.
2x + 10 + 2x + 6 < 12x
4x + 16 < 12x
16 < 8x
2 < x
We learn that the original x is greater than 2. We don't say it is equal to since it says between. Which doesn't usually include the number stated.
Now we repeat, just instead of 3 its 2 and instead of less than its greater than.
2x + 10 + 2x + 6 > 8x
4x + 16 > 8x
16 > 4x
4 > x
So your answer is between 2 and 4.
The possible lengths of the sides of the original square (x) any value between 4 cm and 8 cm, inclusive.
Let's denote the side length of the original square as "x" centimeters. The perimeter of the square is 4x.
When 5 cm and 3 cm are added to the length and width of the square, a rectangle with dimensions (x + 5) cm and (x + 3) cm. The perimeter of the rectangle is 2 × (x + 5) + 2 × (x + 3) = 2x + 10 + 2x + 6 = 4x + 16.
According to the given information, the perimeter of the rectangle is between twice and three times the perimeter of the original square:
2 × perimeter of square ≤ perimeter of rectangle ≤ 3 × perimeter of square
Substitute the values:
2 × 4x ≤ 4x + 16 ≤ 3 × 4x
Simplify:
8x ≤ 4x + 16 ≤ 12x
Subtract 4x from all parts:
4x ≤ 16 ≤ 8x
Now, divide all parts by 4:
x ≤ 4 ≤ 2x
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The graph of the reciprocal parent function, f(x) = ), is shifted 9 units
down and 11 units to the right to create the graph of g(x). What function is
g(x)?
Answer:
g(x) = [tex]\frac{1}{x+11}-9[/tex] is my choice
Step-by-step explanation:
I. If move right is +x and move down is -y
then f(x) = [tex]\frac{1}{x}[/tex]
+x = 11, -y = -9
so g(x) = [tex]\frac{1}{x+11}-9[/tex]
Hope that help :D
Pls Someone Help me Question:make the greatest and smallest 4 digit number by using any one digit twice
= 8,2,7
Answer:
Greatest digit: 8872.
Smallest digit:2278.
9514 1404 393
Answer:
greatest: 8872smallest: 2278Step-by-step explanation:
Greatest
The greatest possible number is created by putting the greatest allowable digit in the space available that has the highest possible place value. Here, the greatest digit is 8, and the highest place value of a 4-digit number is the thousands place: 8000. Once you have filled that place, you can use the digit 8 one more time in the hundreds place: 8800.
Now, the greatest digit available is the digit 7, and the left-most place you can put it is the tens place: 8870. Finally, the only digit and place available are the digit 2 and the ones place.
Your greatest 4-digit number is 8872.
Smallest
To form the smallest number, you use a similar process, filling places in the number from left to right with the smallest allowable digit. The smallest digit, 2, is allowed twice, so the smallest number that can be formed is 2278.
what is the slope of a line containing 1,-2 and -1,5
Use the formula y2-y1/x2-x1
That gives you
5 - (-2) / -1 - 1 = -7/2
-7/2 should be your slope.
(Or it could be -3.5 in decimal form)
What comes next in this sequence? - [ 1, 45, 104, 1034 ] - Please state the pattern and why you chose that answer.
A. 34556
B. 4567
C. 401
D. 54
Answer:
The answer is A. 34556
Step-by-step explanation:
The 5th term of the sequence would be a{5} = 10334.
What is a mathematical function, equation and expression?Sequence : A sequence is defined as an arrangement of numbers in a particular order.
Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is the sequence -
1, 45, 104, 1034
We can write the next term as -
a{n} = 10a{n - 1} - 6
So, we can write -
a{5} = 10 x 1034 - 6
a{5} = 10340 - 6
a{5} = 10334
Therefore, the 5th term of the sequence would be a{5} = 10334.
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Please Help Me Do This I cant understand it no matter how hard I try. (Problem in the image)
9514 1404 393
Answer:
7.28
Step-by-step explanation:
Consider the attachment. There, we have identified a point C that makes ABC a right triangle with the right angle at C.
The Pythagorean theorem gives you the relationship between side lengths of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides.
AB² = AC² +BC²
We can count grid squares to find the lengths of AC and BC. They are 2 units and 7 units, respectively. This means ...
AB² = 2² +7²
AB² = 2·2 +7·7 = 4 +49 = 53
When we know the square, we can find what it is the square of by taking the square root. Generally, a calculator is required for this.
AB = √53 ≈ 7.2801099
When we round this number to two decimal places (the nearest hundredth), we get ...
AB ≈ 7.28 . . . units
_____
Additional comments
You will notice that the length AC in the diagram is the difference of the x-coordinates of points A and B. Similarly, the length BC in the diagram is the difference of y-coordinates. Then the square AB² is the sum of the squares of these differences. The length AB is the square root of that sum.
In general, this is how you find the length of a line segment from its end point coordinates.
__
A little magic, perhaps: You may find that repeating the 11-digit number on the first line several times a day for a few days will help to moderate your difficulty understanding this. The numbers convey an energy that is intended to counteract the brain block that often arises when seeing a math problem.
A city currently has a population of 8200 people, and is expected to grow by 4%
every year. To the nearest whole person, what is the population expected to be 10
years from now?
The population expected to be 10 years from now is 12,138.
Given that,
The population is 8,200 people.It should be predicted to grow by 4%.Based on the above information,
The population expected to be 10 years from now is
[tex]= Number\ of\ people \times (1+ growth\ rate)^{number\ of\ years}\\\\= 8,200 \times (1 + 0.04)^{10}\\\\[/tex]
= 12,138
Therefore we can conclude that The population expected to be 10 years from now is 12,138.
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NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
At a birthday party, five people are sharing 3/4 of a pan of lasagna. What equal-sized portion of the whole pan will each of the five people receive?
a. Draw a visual model to represent the situation and the solution.
b. Write an equation to represent the situation. Explain your reasoning.
Answer:
see below
Step-by-step explanation:
Take the amount of lasagna and divide by the number of people
3/4 ÷ 5=x
Copy dot flip
3/4* 1/5=x
3/20 each
Please Help! Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)
g(t) = 5t^2 − 8t + 3
Answer:
Given:
g(t) = 5t² − 8t + 3Find the following
g(2)
g(2) = 5(2²) - 8(2) + 3 = 20 - 16 + 3 = 7g(t - 2)
g(t - 2) = 5(t - 2)² - 8(t - 2) + 3 = 5t² - 20t + 20 - 8t + 16 + 3 = 5t² - 28t + 39g(t) - g(2)
g(t) - g(2) = 5t² − 8t + 3 - 7 = 5t² − 8t - 4g(t)=5t^2-8t+3
[tex]\\ \sf\longmapsto g(2)=5(2)^2-8(2)+3[/tex]
[tex]\\ \sf\longmapsto g(2)=5(4)-16+3[/tex]
[tex]\\ \sf\longmapsto g(2)=20-13[/tex]
[tex]\\ \sf\longmapsto g(2)=7\checkmark[/tex]
And
[tex]\\ \sf\longmapsto g(t-2)=5(t-2)^2-8(t-2)+3[/tex]
[tex]\\ \sf\longmapsto g(t-2)=5(t^2-4t+4)-8t+16+3[/tex]
[tex]\\ \sf\longmapsto g(t-2)=5t^2-20t+20-8t+19[/tex]
[tex]\\ \sf\longmapsto g(t-2)=5t^2-28t+39\checkmark[/tex]
And
[tex]\\ \sf\longmapsto g(t)-g(2)[/tex]
[tex]\\ \sf\longmapsto 5t^2-8t+3-7[/tex]
[tex]\\ \sf\longmapsto 5t^2-8t-4[/tex]
Please answer the question above!
Answer:
B) [tex]A=4x+8[/tex]
Step-by-step explanation:
Hi there!
Area of a trapezoid: [tex]A=\displaystyle\frac{1}{2}h(b_1+b_2)[/tex]
⇒ b₁ = x-3
⇒ b₂ = x+7
⇒ h = 4
Plug the given information into the equation:
[tex]A=\displaystyle\frac{1}{2}(4)[(x-3)+(x+7)]\\\\A=\displaystyle\frac{1}{2}(4)(x-3+x+7)\\\\A=2(2x+4)\\\\A=4x+8[/tex]
Therefore, the area of the trapezoid is [tex]4x+8[/tex].
I hope this helps!
Let f(x) = x - 3 and g(x) = x + 11 find f(x) times g(x)
What is the answer?
f(x) *g(x) = (x-3)(x+11) = x^2 +11x -3x -33 = x^2 +8x -33
Sorry if its wrong :(
Find the distance between the points (3,4) and (6,0).
I
Answer:
first you use distance formula then urr answer will come out....first u try ok.......
The area of a rectangle is 44m^2, and the length of the rectangle is 3m less than twice the width. Find the dimensions of the rectangle.
Answer:
the length=8
the rectangle=5.5
Step-by-step explanation:
+)convention:
the lengt=a
the width = b => the area of the rectangle = a.b=44m^2 (1)
+) "the length of the rectangle is 3m less than twice the width"
=> 2b-a = 3 (m)
=> a=2b-3
substitute a for (1), we get
the area of the rectangle = a.b = (2b-3).b=44 m^2
=> 2b^2-3b-44=0
=> b=-4 (wrong)
=> b= 5.5 =the width
the lengt = the area of the rectangle/the width=44/5.5=8 m
2. What is the distance between points A and B?
A. -6 units
B. -1 unit
C. 5 units
D. 6 units
Answer:
5 units
Subtract -6 and -1, and you get -5. -5 can't be the answer since we are asked to find the distance, so it is the absolute value of -5, 5.
Answer:
D) 6 units
Explanation:
Point A is 5 units away from 0 (the middle)
Point B is 1 unit away from 0
5 + 1 = 6
Distance between two points cannot be negative
40 Points Please help me
Divide $2604 into a ratio of 2:1.
Answer : 2604 can be divided into 1736 and 868 in the ratio of 2:1.
Step-by-step explanation:
2x + x = 2604
or, 3x = 2604
or, x = 2604/3 = 868
so
2x = 2*868 = 1736
now
x = 868
write the decimal values of the digits given in bold : 0.437
please tell step by step explaination
Answer:
na na na na na I don't know
52% of 1000 registered voters intend to vote for Steven Collins for mayor. What is the 95% confidence interval to describe the total percentage of registered voters who intend to vote for Steven Collins?
A. (50.1%, 53.9%)
B. (48%, 56%)
C. (49.9%, 54.1%)
D. (48.9%, 55.1%)
Using the z-distribution, the 95% confidence interval to describe the total percentage of registered voters who intend to vote for Steven Collins is:
D. (48.9%, 55.1%)
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The other parameters are given as follows:
[tex]\pi = 0.52, n = 1000[/tex]
Hence the bounds of the interval are given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.489[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.551[/tex]
As a percentage, option D is correct.
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Which inequality is the same 7 - 2/b ≤ 5/b
Answer:
1. B
2. A
Step-by-step explanation:
Those are the correct answers
1/8 times square root of eight =
Answer:
0.35355339059
Step-by-step explanation:
A blueprint has a scale of 1cm : 4 feet. On the blueprint, a room is drawn with dimensions 5cm x 2cm.
Find the area of the room (the units of the answer are square feet).
It is a great idea to use a sheet of graph paper to work this problem.
square feet
Answer:
On the blue print, the room will measure 20 by 8 feet
Step-by-step explanation:
If M Need help asap ...................
The measure of angle DAC must be 60 degrees. Since a right angle is 90 degrees, the sum of the degrees of both of the angles must be that amount. If angle BAD is 30 degrees, the measure of angle DAC must be 60 degrees.
the sum of 3 and a number
Answer:
the number will vary the answer
Step-by-step explanation:
3×1=3
3×2=6
true/false: the vertical axis in a bar chart always shows relative frequencies
Answer:
true
Step-by-step explanation: true
Help I'll mark you as brainiest
Answer:
It is a function and 0to^2 shows your function dt.c and 4c-3 shows your function is wrong and the answer is 0 and 31/4 to the power of 25 and shows that the function is 8.
Step-by-step explanation:
Find the equation (in terms of x) of the line through the points (-3,0) and (4,5)
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.3. What type of angle will the clock show when it is 6:55 pm?
jim can solve 4 math problems in 7 minuts. At this rate, about how many math problems can he solve in 25 minuts?
Answer:
14.
JIm can solve 4/7 math problems in a minute. that is the unit rate. how did i get that? 7/7 = 1 and thats what we need for a unit rate, the number one. that means we have to divide 4 by 7 too. therefore, 4/7.
we aren't done. we multiply 4/7 * 25 to find out how many math problems jim can solve in 25 minutes.
about.. 14.29 and we need a whole number since you cant solve a decimal of a math problem so he can solve 14 math problems in 25 minutes.
Step-by-step explanation:
Answer:
43.57
Step-by-step explanation:
divide 4/4 and 7/4 to get the base amount of minutes per question then multiply 1.75 by 25 minutes
CP is equal to 200 SP is equal to 100 find the profit or loss
Answer:
100
Step-by-step explanation:
if SP>CP,
It is profit [SP - CP = Profit]
if CP>SP,
It is loss [CP - SP = Loss]
Here in the question CP>SP so,
loss = CP - SP
=200 - 100
= 100