The ratio 3:3 signifies equality between two quantities and an equivalent ratio can be found by scaling both parts by the same number. Dividing both parts by 3 gives us the simplest form, which is 1:1.
Explanation:A ratio compares two quantities and can be written in various forms such as fractions, with a colon, or with the word "to". The ratio 3:3 is an expression comparing two equal quantities. To find an equivalent ratio, we can simplify or scale the ratio by multiplying or dividing the numerator and denominator (the two parts of the ratio) by the same number.
In this case, dividing both parts of the ratio 3:3 by 3 gives us an equivalent ratio of 1:1, which also represents equality between two quantities. Multiplying both parts by a common number will also produce an equivalent ratio. For example, multiplying 3:3 by 2 gives us 6:6, which is still equivalent. It's essential to maintain the equality of the two parts when finding an equivalent ratio.
Ratios can be applied to various situations, including unit conversions, scale factors, proportions, and comparisons in scientific experiments, such as the ratio of amplitudes in a double-slit experiment in Physics.
In 1970, the population of a small town was 4,200. The population is decreasing at a rate of 2.4% per year. Which of the following shows an exponential decay function to find the quarterly decay rate?The population is decreasing by how much percent per quarter?
Answer:
a. y = 4,200 [tex]0.976^{4t}[/tex]
b. 9.2%
Step-by-step explanation:
Given the information:
The intinital value: 4,200 The population is decreasing at a rate of 2.4% per year=> the base number of the exponential function is:
100% - 2.4% = 97.6% = 0.976
Let t is quarter
Let y is the population
=> the following shows an exponential decay function to find the quarterly decay rate is:
y (t)= 4,200 [tex]0.976^{4t}[/tex]
b. The population is decreasing by how much percent per quarter?
Let t = 0 we have: y(0) = 4,200 [tex]0.976^{4*0} = 4200[/tex]
Let t = 1 we have: y(1) = 4,200 [tex]0.976^{4*1} = 3811[/tex]
=> the decreasing percentage is:
= (y(0) - y(1)) / y(0)*100%
= (4200 - 3811) / 4200 *100%
= 389/4200*100%
= 9.2%
The expoenetial function that represents the quarterly decay is y = 4200(0.994)^4t.
The population is decreasing by 0.4% every quarter.
What is the exponential function that determines the rate of decrease every quarter?The formula that can be used to determine the rate of decrease every quarter is:
FV = P(1 - r/m)^tm
FV = Future value P = Present value of the population = 4,200R = rate of decrease = 2.4%m = number of compoundingt = number of yearsy = 4200( 1 - 0.024/4)^4t
y = 4200(1 - 0.006)^4t
y = 4200(0.994)^4t
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Complementary angles mean all 3 angles equal how many degrees?
Answer:
Two Angles are Complementary when they add up to 90 degrees (a Right Angle)
Step-by-step explanation:
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What shapes can you use to model the log and the board
i will mark brainliest to whoever will aswer this
2+2=_______?????
Answer:
4
Step-by-step explanation:
It because when you count on your hands from 2 go up 2 more you get 4
Which type of statement had the form If A, then B
A. Deductive
B. False
C. Conditional
D. True
The answer is conditional. I had this question and got it right have a great day
What is the value of y ? 25=y+20
Answer:
y = 5
Step-by-step explanation:
25 = y + 20
y = 25 - 20
y = 5
hope it helps!
Answer:
y = 5
Step-by-step explanation:
Let's start!
Our equation for today is 25 = y + 20.
First we need to subtract 20 from each side,
25 = y + 20
-20 -20
We get,
5 = y
So our answer is 5!
(Or y = 5)
NICE JOB EVERYONE!
Fine the measure of z.
A.70
B.80
C.83
D.87
Answer:
A
Step-by-step explanation:
Answer:A-70
Step-by-step explanation:
180-110=70
2x^2-12x+16 factor completely
Answer:
2 (x-4) (x-2)
Step-by-step explanation:
2x^2-12x+16
Factor out a 2
2( x^2 -6x +8)
Now we factor the inside term
What multiplies to 8 and add to -6
-4*-2 =8
-4+-2 = -6
2 (x-4) (x-2)
9. A. if 23n=11112, find n
Answer:
23n=11112
n=11112÷23
...n=483.13
The value of n in the equation ( 23n = 11112 ) rounded to the nearest tenth is 483.1.
What is an Equation?An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.
Given the data in the question;
23n = 11112n = ?We simply divide both sides by 23
23n = 11112
23n/23 = 11112/23
n = 11112/23
n = 483.1
Therefore, the value of n in the equation ( 23n = 11112 ) rounded to the nearest tenth is 483.1.
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x2 + 2x = 2x + x2
associative property
closure property
commutative property
The equation x2 + 2x = 2x + x2 demonstrates the Commutative Property, showing that the order of addition does not change the result.
Explanation:The equation x2 + 2x = 2x + x2 demonstrates the Commutative Property of addition. The Commutative Property states that for any numbers a and b, a + b = b + a. This property applies to both addition and multiplication, indicating that the order in which two numbers are added or multiplied does not change the result. In the given equation, the terms on both sides can be rearranged without changing the equality, showing that x2 + 2x is equal to 2x + x2 due to the commutative property.
What volume of water is needed to dilute 10.0 mL of 2.0 M HCl to make a 0.25 M HCl solution?
A. Enough to make 50. ml of solution
B. Enough to make 60. mL of solution
C. Enough to make 70. mL of solution
D. Enough to make 80. mL of solution
Answer:
D. 80 mL
Step-by-step explanation:
Given:
- 10.0 mL of HCL
- 2.0 M HCl
- .25 M HCl
1) Convert mL to L
10 mL/1000 mL = .01 L
2) Find # of moles of HCl
2.0 M HCl = (x/.01 L)
x = .02 mol HCl
3) Find volume needed to make .25 M HCl
.25 M = .02 mol HCl/ y
y = .08 Liters
4) Convert Liters to mL
.08 L * 1000 mL = 80 mL
Answer: 80 mL (D)
Plz I need this answer thank you
Answer:
w=10.25
P=900
Step-by-step explanation:
You need to substitute those original numbers and see they dont work
Which statements about the figure are true? Select two options.
The perimeter of the triangle is 19 units.
TU ≅ TS
PU ≅ TU
The length of line segment PR is 13 units.
The length of line segment TR is 10 units.
Complete Question
The circle is inscribed in triangle PRT. A circle is inscribed in triangle P R T. Points Q, S, and U of the circle are on the sides of the triangle. Point Q is on side P R, point S is on side R T, and point U is on side P T. The length of R S is 5, the length of P U is 8, and the length of U T is 6. Which statements about the figure are true?
Answer:
(B)TU ≅ TS
(D)The length of line segment PR is 13 units.
Step-by-step explanation:
The diagram of the question is drawn for more understanding,
The theorem applied to this problem is that of tangents. All tangents drawn to a circle from the same point are equal.
Therefore:
|PQ|=|PU|=8 Units
|ST|=|UT| =6 Units
|RS|=|RQ|=5 Units
(b)From the above, TU ≅ TS
(d)Line Segment |PR|=|PQ|+|QR|=8+5=`13 Units
Answer:
b & d
Step-by-step explanation:
i took the edge test !
Wich x makes the statement 7+5 (x-3)=22 a true statement (URGENT)
A. X=4
B. x=5
C. X=6
D. X=7
Answer:
The answer would be C.) x = 6
Step-by-step explanation:
7+5 (4-3) = 12
7+5 (5 -3) = 17
7+5 (6-3) = 22
7+5 (7-3) = 27
can anyone help
3c+5=23
Answer: c = 6
To solve for c in the equation you see here,
our goal is to get c by itself.
Our first step will be to isolate the term
containing c which in this problem is 3c.
To isolate 3c, we have to get rid of the +5 by
subtracting 5 from both sides of the equation.
On the left, the +5 and -5 cancel out
and we are simply left with 3c.
On the right, 23 - 5 simplifies to 18.
Now we have 3c = 18.
To get c by itself, since it's being multiplied by 3,
we just divide both sides of the equation by 3.
On the left, the 3's cancel and we are left with c.
On the right, 18/3 simplifies to 6.
So our answer is c = 6.
A Triangle has angles of 37 and 25 degrees. What is the measurement of the third angle?
Answer:
x =118
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees. Let the unknown angle be x
37+25 +x = 180
Combine like terms
62+x = 180
Subtract 62 from each side
62+x-62 = 180-62
x =118
2. 5 − 1/2 x = y m= _______ b=_________
Answer:
m = -1/2 and b = 2.5
Step-by-step explanation:
The slope intercept form of the equation of a line is
y = mx+b where m is the slope and b is the y intercept
2.5 - 1/2x = y
Rewriting
y = -1/2x +2.5
The slope is -1/2 and the y intercept is 2.5
m = -1/2 and b = 2.5
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 5) and (8, 1280)
Answer:
[tex] a =5[/tex]
Now we can use the info from the second point and we have:
[tex] 1280 = 5 b^8 [/tex]
We can divide 5 in both sides and we got:
[tex] 256 = b^8[/tex]
And using an exponent 1/8 in both sides we got:
[tex] (256)^{1/8} = b[/tex]
[tex] b = 2[/tex]
And then our model would be given:
[tex] y= 5 (2)^x [/tex]
Step-by-step explanation:
For this case we have two points given (0,5) and (8,1280). And we want to find a function given by this general expression:
[tex] y= ab^x [/tex]
And using the first point given we have:
[tex] 5 = a b^0 [/tex]
[tex] a =5[/tex]
Now we can use the info from the second point and we have:
[tex] 1280 = 5 b^8 [/tex]
We can divide 5 in both sides and we got:
[tex] 256 = b^8[/tex]
And using an exponent 1/8 in both sides we got:
[tex] (256)^{1/8} = b[/tex]
[tex] b = 2[/tex]
And then our model would be given:
[tex] y= 5 (2)^x [/tex]
Final answer:
To write an exponential function that passes through (0, 5) and (8, 1280), we first use the point (0, 5) to find that a = 5. Then, using the point (8, 1280), we solve for b, finding b = 2. Thus, the required exponential function is[tex]y = 5.2^x.[/tex]
Explanation:
To write an exponential function in the form y=ab^x that goes through the points (0, 5) and (8, 1280), we need to solve for a and b.
Step 1: Use the First Point (0, 5)
Substitute x = 0 and y = 5 into the equation:
5 = a · [tex]b^0[/tex]
Since any number raised to the power of 0 is 1, we find:
a = 5
Step 2: Use the Second Point (8, 1280)
Substitute x = 8, y = 1280, and a = 5 into the equation:
1280 = 5 ·[tex]b^8[/tex]
To solve for b, divide both sides by 5:
256 = [tex]b^8[/tex]
Finding the 8th root of both sides gives:
b = 2
Step 3: Write the Exponential Function
Now that we have a = 5 and b = 2, the exponential function is:
y = 5·[tex]2^x[/tex]
The length of a football field is 300 feet (excluding the end zones). The diagonal is about 316.2 feet. What is the width of the football field, rounded to the nearest foot?
Answer:
w = 100 ft
Step-by-step explanation:
A football fields is of rectangular shape, and for that shape, we know the length (300 ft) and one diagonal (316,2 ft). To determine the width we have to understand that diagonal, length and a width form a right triangle, and in a right triangle we can apply Pytagoras theorem. Therefore:
d(diagonal)² = l² + w² where l is the length and w the width
d² = l² + w² ⇒ d² - l² = w²
w² = ( 316,2)² - (300)² ⇒ w² = 99982,44 - 90000
w² = 9982,44
w = √9982,44
w = 99,91 ft
Rounded to the nearest foot
w = 100 ft
The function F(x) is described below.
Fx) = 3x + 2
What is the value of F(5)?
O A. 10
B. 15
C. 17
D. 21
Answer:
C. 17
Step-by-step explanation:
f(x)= 3x+2
f(5)= 3(5) + 2
f(5)= 15+2
f(5) = 17
Need Help ASAP I have no calculator!!!
50x2x45x50=
Answer:
The answer is 225,000.
Step-by-step explanation:
Hope this Helps!!!
Answer:
225000
Step-by-step explanation:
Manny observed a Northern Gannet, a deep diving seabird, hovering at a height of 10 meters above the ocean surface. The bird then dove into the water, diving to a depth of 16 meters before coming to the surface. The dive can be modeled by a quadratic function, y = x2 – 10.3x + 10, where x represents the time the dive lasted in seconds and y represents the height of the bird in meters. Use the graphing calculator to graph the equation. After how many seconds did the bird surface? Round your answer to the nearest tenth. seconds
Answer:
9.2 seconds
Step-by-step explanation:
got it right on edg 2020
simplify the complex fraction 2 3/4 divided by 1 1/8
Answer:
2 3/4 divided by 11/8 would be 2.
Factor the numerator and denominator and cancel the common factors.
I hope that this was helpful :3
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A worker at a mill is loading 5 pound bags of flour into boxes to deliver to a local warehouse. Each box holds 16 bags of flour. If the warehouse orders 4 tons of flour how many boxes are needed to fulfill the order ?
Answer:
100 boxes are needed to fulfill the order
Step-by-step explanation:
In this question, we are concerned with calculating the number of boxes that are needed to fulfill an order.
Each of the boxes contain 16 bags of flour and each of these bags weigh 5 pounds. What this means is that each of the boxes will have a net weight of 5 * 16 = 80 pounds
Mathematically, 1 ton is the equivalent of 2,000 pounds. Hence, 4 tons is the equivalent of 4 * 2000 = 8,000 pounds
Thus, the number of boxes needed will be 8,000/80 = 100 boxes
Jared is going to plant 20 small plants around the edge of a circular garden
that is 8 feet in diameter. If he spaces the plants evenly, how much distance
will be between the plants? (Round to the nearest hundredth)
Blank 1:
Answer:
1 every 2.5 feet
Step-by-step explanation:
20 divided by 8 20 being the plants 8 being the length gives u 2.5
Rounding to the nearest hundredth, the distance between each plant will be approximately 1.26 feet.
To find the distance between each plant when they are evenly spaced around the edge of the circular garden, we can use the formula for the circumference of a circle:
[tex]Circumference (C) = \pi * diameter[/tex]
Rounding to the nearest hundredth, the distance between each plant will be approximately 1.26 feet.
Given that the diameter of the circular garden is 8 feet, we can calculate the circumference:
[tex]C = \pi * 8[/tex]
Now, let's calculate the circumference:
[tex]C = \pi * 8[/tex]
[tex]C = 3.14 * 8[/tex]
[tex]C = 25.12 feet[/tex]
Now, since there are 20 plants evenly spaced around the circumference, we can divide the circumference by 20 to find the distance between each plant:
[tex]Distance between plants = Circumference / Number of plants[/tex]
[tex]Distance between plants =25.12 / 20[/tex]
[tex]Distance between plants = 1.256 feet[/tex]
Complete correct question:
Jared is going to plant 20 small plants around the edge of a circular garden
that is 8 feet in diameter. If he spaces the plants evenly, how much distance
will be between the plants? (Round to the nearest hundredth)
The linear parent function, f(x) = x, is transformed to g(x) = 2x + 7. Which
statement correctly compares the graphs of the functions?
The graph of g(x) = 2x + 7 is a vertical shift of the graph of f(x) = x by 7 units upward.
Explanation:The linear parent function, f(x) = x, is transformed to g(x) = 2x + 7. The transformation is a vertical shift of 7 units upward and a horizontal stretch by a factor of 2. To compare the graphs of the functions, we can plot a few points and observe the differences. For example, if we consider x = 0, for the parent function f(x) = x, the output is f(0) = 0. However, for the transformed function g(x) = 2x + 7, the output is g(0) = 7. This shows that all the y-values of the transformed function are 7 units higher than the corresponding y-values of the parent function. Therefore, the statement that correctly compares the graphs of the functions is that the graph of g(x) is a vertical shift of the graph of f(x) by 7 units upward.
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Final answer:
The function g(x) = 2x + 7 has a steeper graph than f(x) = x due to a larger slope and is also shifted upward by 7 units.
Explanation:
The linear parent function f(x) = x is transformed to g(x) = 2x + 7. When comparing the graphs of the two functions, we notice that g(x) is a transformed version of f(x). Specifically, the graph of g(x) has a slope of 2, which is a steeper incline than the parent function f(x), which has a slope of 1. Additionally, g(x) has a vertical shift upwards by 7 units. Therefore, the statement that correctly compares the two graphs would indicate that g(x) is steeper and shifted 7 units up from the graph of f(x).
find the mean and median of the data.
12, 15, 16, 18, 20, 90
please help!!!
Write this in standard form. Six hundred twenty-nine and eleven hundredths
Answer:
629.11
Step-by-step explanation:
Six hundred twenty-nine and eleven hundredths
Hundreds | Tens | Ones | Tenths | Hundredths
Fill in the above place value chart
Hundreds (100) | Tens (10) | Ones (1) | Tenths (0.1) | Hundredths (0.01)
6 2 9 . 1 1
Multiply each value in the chart by their respective number above it.
6 (100) + 2 (10) + 9 (1) + 1 (0.1) + 1(0.01)
600 + 20 + 9 + 0.1 + 0.01
Add
629.11
Hope this helps :)
There are 42 students 21 are in 7th grade 14 are in 8th 7 are in ninth whats the probability of an eighth grader winning
Answer:
The probability of an eighth grader winning is 1/3
Step-by-step explanation:
Total no. of students = 42
Number of students in 7th grade = 21
Number of students in 8th grade = 14
Number of students in 9th grade = 7
Probability of event = [tex]\frac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
So,the probability of an eighth grader winning= [tex]\frac{14}{42}=\frac{2}{6}=\frac{1}{3}[/tex]
Hence The probability of an eighth grader winning is 1/3
3/2 x 63 = how many?
Simplify the expression.
Exact Form:
189/2
Decimal Form:
94.5
Mixed Number Form:
94 1/2
Answer: 189 or 94.5
Step-by-step explanation:
divide 3/2 because he fashion is division so 3/2 is 1.5 then multiply 1.5 by 63 and you get 94.5