Answer:
P is greater than 4
Step-by-step explanation:
so P could be anything from 5 to infinity
Final answer:
The inequality p > 4 is satisfied by any real number greater than 4. The solution is represented visually by shading the number line to the right of the open circle at 4.
Explanation:
The solution to the inequality p > 4 is all real numbers greater than 4. In other words, for any number p that is greater than 4, the inequality will hold true.
To visualize this solution on a number line, you would draw an open circle at 4 and shade all numbers to the right of 4, indicating that all those numbers are part of the solution set.
This is a basic concept in algebra, focusing on understanding and solving inequalities. The solution does not include the number 4 itself because the inequality is strictly greater than (not greater than or equal to).
If a board game was originally $25 and it is on sale for $18 what is the percent of discount?
The ratio of a model car to a regular car is 1:16. The model is 6.25 inches long. What is the length of the actual car in feet and inches?
What is the length of the actual car in feet and inches? 4/5 ft 48/72in
Arnold can read 3 pages in 7 minutes. Brenda can read 8 pages in 14 minutes. Who is the faster reader? Justify your answer.
Answer:
Brenda
Step-by-step explanation:
You can divide the number of pages by the number of minutes to find the amount of minutes it takes to read 1 page. For Arnold, 3 pages / 7 minutes = 1 page per approximately 0.43 minutes. For Brenda, 8 pages / 14 minutes = 1 page per approximately 0.57 minutes. Brenda reads slightly faster since 0.57 > 0.43
Assume that x is a variable that has been declared as a double and been given a value. Write an expression to compute the quartic root of x. The quartic root of a number is the square root of its square root. EXAMPLES: For example, the quartic root of 16.0 is 2.0 because: the square root of 16.0 is 4.0 and the square root of 4.0 is 2.0. Another example: the quartic root of 81.0 is 3.0 because the square root of 81.0 is 9.0 and the square root of 9.0 is 3.0. Thus, to find the quartic root of a number you take the square root of the number and then take the square root of that. In this exercise you must find the quartic root of x in a single expression-- you must not write any statements. Also, you may only use the sqrt() static method defined in the Math class-- no other methods. (HINT: you will need to call the Math.sqrt() method twice-- and you will need to pass the return value of one of those calls as argument to the other call. AND REMEMBER: write an expression, not a statement.)
Answer:
sqrt(sqrt(x))
Step-by-step explanation:
A quartic root of is written mathematically as . THe quartic root of 16 is 2 since 2*2*2*2 = 16. However, a quartic root can also be defined as the square root of a square root. For example the √16 = 4 and the √4 = 2. This is the same response as taking the quartic root. This means you can write it as the sqrt(sqrt(x)). In the example, it would be sqrt(sqrt(16)) = sqrt(4) = 2.
The quartic root of a variable x can be calculated using the expression Math.sqrt(Math.sqrt(x)), which calls the square root function twice. This computes the square root of x, then computes the square root of the result, yielding the quartic root.
Explanation:In order to compute the quartic root of a variable x, we call the Math.sqrt() method twice in a nested manner. The quartic root is essentially the square root of a square root, hence the need for the double call. The appropriate expression in this case would be:
Math.sqrt(Math.sqrt(x))
This expression first computes the square root of x and then computes the square root of the result, which gives us the quartic root of x. As a result, if x is 16.0, the result of this expression would be 2.0, and if x is 81.0, the result would be 3.0.
Learn more about Quartic Root here:https://brainly.com/question/32892267
#SPJ3
if the probability of p(m and n) =0.2 p(m)=0.4 and m and independent events, what is p(n)?
Answer:
P(n) = 0.5
Step-by-step explanation:
For two events which are independent, we use the multiplication rule which states P (A and B) = P(A) * P(B). Substitute P(m) = 0.4 and P(m and n) = 0.2 into this formula.
P (m and n) = P(m) * P(n)
0.2 = 0.4*P(n)
Divide by 0.4 on both sides.
0.2 / 0.4 = P(n)
0.5 = P(n)
How many faces does a pyramid with a square base have? A. Five B. Eight C. Six D. Seven
Answer:
The answer is five.
Step-by-step explanation:
A pyramid with a square base has one square face and there are four triangle faces, so there are five in total.
I hope this helped! :-)
Number of faces of pyramid with a square base is 5.
Hence option A is correct.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Since we know that
A pyramid having square base have,
Number of square face = 1
Number of triangular face = 4
Hence total face in this triangle is,
= 1+4
= 5
Hence total faces = 5.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ7
How do you write an equation for.... what number a is 25% of 64? An equation is =0.25?
Find linearly independent functions that are annihilated by the given differential operator. (give as many functions as possible. use x as the independent variable. enter your answers as a comma-separated list.) d2 − 12d − 45
We want to find all [tex]f(x)[/tex] such that
[tex](D^2-12D-45)[f(x)]=0[/tex]
We have
[tex](D^2-12D-45)[f]=(D-15)(D+3)[f]=0[/tex]
so that either
[tex](D-15)[f]=0\implies f'-15f=0\implies f(x)=e^{15x}[/tex]
or
[tex](D+3)[f]=0\implies f'+3f=0\implies f(x)=e^{-3x}[/tex]
These solutions are linearly independent; we confirm this by computing the Wronskian:
[tex]W=\begin{vmatrix}e^{15x}&e^{-3x}\\15e^{15x}&-3e^{-3x}\end{vmatrix}=-3e^{12x}-15e^{12x}=-18e^{12x}\neq0[/tex]
We can also confirm that these solutions are correct by substituting the solutions for [tex]f(x)[/tex] in the differential equation:
[tex](D^2-12D-45)[e^{15x}]=225e^{15x}-12(15e^{15x})-45e^{15x}=0[/tex]
[tex](D^2-12D-45)[e^{-3x}]=9e^{-3x}-12(-3e^{-3x})-45e^{-3x}=0[/tex]
The linearly independent functions that are annihilated by the differential operator d2 − 12d - 45 are e^{15x} and e^{-3x}, found by solving the quadratic equation associated with the differential equation.
Explanation:The differential operator given is d2 − 12d - 45. To find out the linearly independent functions that are annihilated by this operator, we have to solve the homogeneous differential equation d2 − 12d - 45 = 0. This is a second order equation, so we expect two linearly independent solutions.
To find the solutions, we seek the roots of the associated quadratic equation m^2 - 12m -45 = 0. This can be factored into (m-15)(m+3), thus giving roots m = 15 and m = -3.
The general forms of the solutions for these roots are e^{15x} and e^{-3x} respectively. Therefore, the functions e^{15x} and e^{-3x} are linearly independent functions that are annihilated by the given differential operator d2 − 12d - 45.
Learn more about Differential Operator here:https://brainly.com/question/33987642
#SPJ11
You ask a friend to think of a number from 5 to 12. What is the probability that his number will be 8?
1/8 chance since there are 8 numbers from 5 to 12 and 1 is only one number so 1/8
116. use what you know about the area and circumference of circles to answer the questions below. show all work. leave answers in terms of π. homework help ✎ if the radius of a circle is 14 units, what is its circumference? what is its area? if a circle has diameter 10 units, what is its circumference? what is its area? if a circle has circumference 100π units, what is its area? if a circle has circumference c, what is its area in terms of c?
Answer:
28π and 196π
10π and 25π
2500π
A = C/4π
Step-by-step explanation:
The circumference of a circle is the distance around the edge of the circle. To find the circumference, we use the formula C = 2πr. The area of the circle is the amount inside the circle and is found using A = πr². Substitute the relevant values in each situation into the formulas to find the circumference and area.
if the radius of a circle is 14 units, what is its circumference? what is its area?
Substitute r = 14.
C = 2πr = 2π(14) = 28π
A = πr² = π(14)² = 196π
if a circle has diameter 10 units, what is its circumference? what is its area?
Substitute r = 5.
C = 2πr = 2π(5) = 10π
A = πr² = π(5)² = 25π
if a circle has circumference 100π units, what is its area?
Substitute C = 100π to find the radius. Then substitute the radius into the are formula.
C = 2πr
100π=2πr
100 = 2r
50 = r
A = πr² = π(50)² = 2500π
if a circle has circumference c, what is its area in terms of c?
Cole the circumference formula for r. Then substitute the expression into the area formula.
C = 2πr
r = C / 2π
A = πr² = π(C/2π)² = πC/4π² = C/4π
1. Circumference: [tex]\(28\pi\)[/tex]units, Area: [tex]\(196\pi\)[/tex] square units.
2. Circumference: [tex]\(10\pi\)[/tex]units, Area: [tex]\(25\pi\)[/tex]square units.
3. Area: [tex]\(2500\pi\)[/tex]square units.
4. Area: [tex]\(\frac{C^2}{4\pi}\)[/tex] square units.
Let's go through each question one by one, using the formulas for the circumference and area of a circle.
1. If the radius of a circle is 14 units, what is its circumference? What is its area?
- The circumference [tex]\( C \)[/tex] of a circle is given by the formula:
[tex]\[ C = 2\pi r \][/tex]
where [tex]\( r \)[/tex] is the radius.
Given [tex]\( r = 14 \)[/tex] units, we have:
[tex]\[ C = 2\pi \times 14 = 28\pi \text{ units} \][/tex]
- The area [tex]\( A \)[/tex]of a circle is given by the formula:
[tex]\[ A = \pi r^2 \][/tex]
Given [tex]\( r = 14 \)[/tex] units, we have:
[tex]\[ A = \pi \times 14^2 = \pi \times 196 = 196\pi \text{ square units} \][/tex]
2. If a circle has diameter 10 units, what is its circumference? What is its area?
- The diameter [tex]\( d \)[/tex] is related to the radius by [tex]\( d = 2r \)[/tex]. Therefore, the radius [tex]\( r \)[/tex] is:
[tex]\[ r = \frac{d}{2} = \frac{10}{2} = 5 \text{ units} \][/tex]
- Using the circumference formula [tex]\( C = 2\pi r \):[/tex]
[tex]\[ C = 2\pi \times 5 = 10\pi \text{ units} \][/tex]
- Using the area formula [tex]\( A = \pi r^2 \):[/tex]
[tex]\[ A = \pi \times 5^2 = \pi \times 25 = 25\pi \text{ square units} \][/tex]
3. If a circle has circumference [tex]\( 100\pi \)[/tex] units, what is its area?
- Given the circumference [tex]\( C = 100\pi \),[/tex] we can find the radius [tex]\( r \)[/tex] using the formula [tex]\( C = 2\pi r \):[/tex]
[tex]\[ 100\pi = 2\pi r \][/tex]
Dividing both sides by [tex]\( 2\pi \):[/tex]
[tex]\[ r = \frac{100\pi}{2\pi} = 50 \text{ units} \][/tex]
- Using the area formula [tex]\( A = \pi r^2 \):[/tex]
[tex]\[ A = \pi \times 50^2 = \pi \times 2500 = 2500\pi \text{ square units} \][/tex]
4. If a circle has circumference [tex]\( C \),[/tex] what is its area in terms of [tex]\( C \)[/tex]
- Given the circumference [tex]\( C \),[/tex] we can express the radius [tex]\( r \)[/tex] in terms of [tex]\( C \)[/tex] using the formula [tex]\( C = 2\pi r \):[/tex]
[tex]\[ r = \frac{C}{2\pi} \][/tex]
- Using the area formula [tex]\( A = \pi r^2 \)[/tex] and substituting [tex]\( r = \frac{C}{2\pi} \):[/tex]
[tex]\[ A = \pi \left( \frac{C}{2\pi} \right)^2 = \pi \left( \frac{C^2}{4\pi^2} \right) = \frac{\pi C^2}{4\pi^2} = \frac{C^2}{4\pi} \][/tex]
To get to your school, 25 of the students walk, 13 of the students ride the bus, and the rest come in cars. How many students come to school in cars?
Answer:
12
Step-by-step explanation:
subtract 25 minus 13 and you get 12 which means 12 students come in cars
Complete the table to represent how much each individual monthly deposit of $50 will be worth at the end of 12 months. Enter your answers as an expression in the form
a(1 + r)n, as shown for the first month.
The first month has the equation raised to 11 which is the number of months left in the period.
So each month the equation would be the same except it would be raised to 1 less than the previous month.
Month 2 = 50(1.003)^10
Month 3 = 50(1.003)^9
Month 4 = 50(1.003)^8
Month 5 = 50(1.003)^7
Month 6 = 50(1.003)^6
Month 7 = 50(1.003)^5
Month 8 = 50(1.003)^4
Month 9 = 50(1.003)^3
Month 10 = 50(1.003)^2
Month 11 = 50(1.003)^1
Month 12 = 50(1.003) ( the last month would not be raised to anything)
Answer:
600
Step-by-step explanation:
its 50 X 12
thats how you would solve that
Work out the area of a semicircle with radius 3cm. give your answer in terms of 3.142
1.5 • 3.142= 4.713 should be the answer
Answer: 4.5π ≈ 14.14 cm²
Step-by-step explanation:
[tex]Area_{\ circle}=\pi \cdot r^2\\\\Area_{\ semicircle}=Area_{\ circle}\div 2\\\\\\A=\dfrac{\pi \cdot 3^2}{2}\\\\\\.\quad =\dfrac{9}{2}\pi\\\\\\.\quad =4.5\pi\\\\\\.\quad =14.14[/tex]
Experimenting, you have found that 12 ounces of 180°F coffee in your favorite cup will take 20 minutes to cool to a drinking temperature of 110°F in a 70°F room. Assume that when you add cream to the coffee, the two liquids are mixed instantly, and the temperature of the mixture instantly becomes the weighted average of the temperature of the coffee and of the cream (weighted by the number of ounces of each fluid). Also assume that the cooling constant of the liquid (the constant k in the equations on p. 237 in section 3.8 for Newton's Law of Cooling) does not change when you add the cream. (a) If you add 2 ounces of 40°F cream to the 180°F coffee in the cup, how long will it take for the mixture to reach drinking temperature? Give your answer (in minutes) in decimal form with at least 3 decimal digits (for example, 12.345 minutes).
Answer:
16.033 min
Step-by-step explanation:
We can write Newton's Law of Cooling as
T = Tₐ + (T₀ - Tₐ)e^(-kt), where
Tₐ = ambient temperature of the surroundings
T₀ = initial temperature of the object
k = the cooling constant
t = the time
(1) Calculate the cooling constant
Data:
T = 110 °F
T₀ = 180 °F
Tₐ = 70 °F
t = 20 min
Calculation:
110 = 70 + (180 - 70)e^(-k×20)
40 = 110e^(-20k)
0.363 64 = e^(-20k)
-1.0116 = -20k
k = 0.050 580 min⁻¹
(2)After adding cream
(a) Calculate T₀
2 oz × 40 °F + 12 oz × 180 °F = 14 oz × T₀
80 °F + 2160°F = 14T₀
2240 °F = 14T₀
T₀ = 160 °F
(b) Calculate the time to cool to drinking temperature
110 = 70 + (160 - 70)e^(-0.050 580t)
40 = 90e^(-0.050 580t)
0.444 44 = e^(-0.050 580t)
-0.810 93 = -0.050580t
t = 16.033 min
It will take 16.033 min for the mixture to reach drinking temperature
To determine the time it takes for the mixture to reach drinking temperature, we first calculate the initial temperature of the mixture after adding 2 ounces of 40°F cream to the 180°F coffee, which turns out to be 165°F. Then, according to Newton's Law of Cooling, the time it takes for the mixture to decrease from 165°F to the drinking temperature of 110°F would be the same as the time it took for the original coffee to cool from 235°F to 180°F, given the cooling constant doesn't change when we add the cream. Therefore, the mixture will take approximately 20 minutes to reach drinking temperature.
Explanation:To determine the time it takes for the mixture to reach drinking temperature, we first need to calculate the initial temperature of the mixture. When you add 2 ounces of 40°F cream to the 180°F coffee, the temperature of the mixture instantly becomes the weighted average of the temperature of the coffee and of the cream. Thus, we have:
(12 * 180 + 2 * 40) / (12 + 2) = 165°F.
Now we need to calculate the time it takes for the mixture to decrease from 165°F to the drinking temperature of 110°F. According to Newton's Law of Cooling, the rate of change of the temperature of an object is proportional to the difference between its own temperature and the ambient temperature. If we assume that the proportionality constant (or the cooling constant) doesn't change when we add the cream, then the time it takes for the mixture to cool from 165°F to 110°F will be the same as the time it took for the original coffee to cool from 235°F (165 + 70) to 180°F (110 + 70), which is 20 minutes. We can conclude that the mixture will take approximately 20 minutes to reach drinking temperature.
Learn more about Newton's Law of Cooling here:https://brainly.com/question/33399430
#SPJ3
Which is 5logx - 6log(x-8) written as a single logarithm?
Answer:
option a
[tex]log\frac{x^{5} }{(x-8)^{6} }[/tex]
Step-by-step explanation:
Given in the question an expression
5logx - 6log(x-6)
To solve this question we will apply two of the logarithm property
1) power rule
alogx = log[tex]x^{n}[/tex]
log[tex]x^{5}[/tex] - log[tex](x-8)^{6}[/tex]
2) substraction rule
The log of a quotient is the difference of the logs
loga (x/y) = loga x - loga y
[tex]logx^{5}- log(x-8)^{6}[/tex]
log[tex]\frac{x^{5} }{(x-8)^{6} }[/tex]
Answer:
a edge
Step-by-step explanation:
2+(x+y)=(2+x)+y is and example of which algebraic property?
A)Distributive property
B)Associative property of addition
C)Commutative property of addition
D)Symmetric property
distributive property because u need to mulptiply the number outside with the parentheses
Answer:
A)Distributive property
Step-by-step explanation:
This is because you need to multiply
What are the values of x and y?
Answer:
b: [tex] x= 8 \sqrt7 y= 4 \sqrt{21} [/tex]
Step-by-step explanation:
Euclid 1st theorem:
[tex] x^2 = 16 * (16+12); y^2 = 12*(12+16) [/tex]
Calculation is trivial
Please answer this question, will give brainliest!
Answer:
I dont really know the answer.. but ill try; if its wrong I am so sorry;
Step-by-step explanation:
First you must get the area of a circle, which is; A= pi r squared
and all you have to do is fill it in like this;
A= 3.14 x 2.0
^
A= 6.28
The points R(3,−3), S(8,0), and T(4,1) are connected to form △RST.
What is the most appropriate classification of △RST?
right isosceles
isosceles
scalene
equilateral
right isosceles
rs:34&rs=rt+st
rt:17
st:17
ab=[(x(a)-x(b))+(y(a)+y(b))]
Answer:
Isosceles.
Step-by-step explanation:
We are going to check it with the distance formula
d(R,T) = [tex]\sqrt[2]{(3-4)^{2}+(-3-1)^{2}}[/tex]
= [tex]\sqrt[2]{(-1)^{2}+(-4)^{2}}[/tex]
= [tex]\sqrt[2]{1+16}[/tex]
= [tex]\sqrt[2]{17}[/tex].
d(T,S) = [tex]\sqrt[2]{(4-8)^{2}+(1-0)^{2}}[/tex]
= [tex]\sqrt[2]{(-4)^{2}+(1)^{2}}[/tex]
= [tex]\sqrt[2]{16+1}[/tex]
= [tex]\sqrt[2]{17}[/tex].
d(S,R) = [tex]\sqrt[2]{(8-3)^{2}+(0-(-3))^{2}}[/tex]
= [tex]\sqrt[2]{(5)^{2}+(3)^{2}}[/tex]
= [tex]\sqrt[2]{25+9}[/tex]
= [tex]\sqrt[2]{34}[/tex].
Then, as the triangle has two sides with the same length, the triangle is isosceles.
Use the stem-and-leaf plot below to match the terms with the correct value. Round to the nearest whole number.
Mean
Median
Mode
Answer:
The mean is 5
the median is also 5
and the mode is 1
Step-by-step explanation:
Answer:60,61,73,75,79,81,81,81,92,96,98
Step-by-step explanation: Mean:80
Median:81
Mode:81
0.05% written as a decimal
Answer:
0.05% means 0.05 per every 100.
Step-by-step explanation:
We find it useful to convert 0.05% to decimal, because if you need to find 0.05% of any number, you can simply multiply that number with 0.0005.
hope this helps!!!!!
The value of 0.05% written as a decimal is 0.0005.
To write 0.05% as a decimal, you need to divide the percentage value by 100.
A decimal number is a number that uses the base-10 numbering system. It is a way of representing numbers using the digits 0-9 and a decimal point. Each digit in a decimal number represents a specific place value, which is a power of 10.
The digits to the left of the decimal point represent whole numbers, and the digits to the right of the decimal point represent fractional parts or decimal fractions.
0.05% divided by 100 is equal to 0.0005.
Therefore, 0.05% written as a decimal is 0.0005.
To know more about decimal numbers follow
https://brainly.com/question/30405685
#SPJ6
Isabell is thinking of a even number between 234 and 250 the sum of the digits is double the digit in the ones place what is Isabell's number
Answer:
246.
Step-by-step explanation:
Let the number be 2xy, then
2 + x + y = 2y and y must be even because the whole number is even.
y = 2 + x .
Now x must be even because y is even.
The only 2 numbers which fit are x = 4 and y = 6 so the number is 246.
Checking: 2+4+6 = 12 and 12 = 2*6.
(2Q) Simply the expression.
Answer:
no simplify. answer is:
b. log(1/7)
ANSWER
d.
[tex] \frac{1}{7} [/tex]
EXPLANATION
We want to simplify
[tex] {10}^{ log( \frac{1}{7} ) } [/tex]
Recall that the common logarithm has a base of 10.
This implies that,
[tex] {10}^{ log( \frac{1}{7} ) } = {10}^{ log_{10}( \frac{1}{7} ) } [/tex]
Recall again that:
[tex] {p}^{ log_{p}(q) } = q[/tex]
Therefore,
[tex] {10}^{ log( \frac{1}{7} ) } = {10}^{ log_{10}( \frac{1}{7} ) } = \frac{1}{7} [/tex]
25 points!! Probability question.
This is from Math-a-thon, pls solve this problem to help me help children with cancer...
Destructimous has 7 sonic blasts and 13 heat rays. It also has a 2/7 chance of using its ultra power blast. Luckily, Octagon’s sheild reflected that blast and stopped all the robots. How many ultra power bots did Destructimous have? Pls show/ explain your work. (i know the answer i just dont know how to find it).
Destructimous had 6 ultra power blasts.
The total number of blasts Destructimous has is:
Total blasts = Sonic blasts + Heat rays
Total blasts = 7 + 13
Total blasts = 20
Now, we know that Destructimous has a 2/7 chance of using its ultra power blast. To find out how many ultra power blasts it fires, we calculate 2/7 of the total blasts:
Ultra power blasts = (2/7) * Total blasts
Ultra power blasts = (2/7) * 20
Ultra power blasts = 40/7
Now, since we can't have a fraction of a blast, we need to round this number to the nearest whole number. In this case, 40/7 is approximately 5.71, so when rounded, it's 6.
So, Destructimous had 6 ultra power blasts.
-------------------------------------
The sum of four numbers is 20 and their average is 5. When a fifth is added, the new average is 6. What is the fifth number?
Answer:
10
Step-by-step explanation:
We'll note the numbers as [tex]x_{n}, x_{n+1} ...[/tex]
[tex]x_1 + x_2 + x_3 + x_4 = 20\\Avg = 5\\\frac{x_1 + x_2 + x_3 + x_4 + x_5 }{5} = 6 = \frac{20 + x_5}{5}\\ 4 + \frac{x_5}{5} = 6\\\\frac{x_5}{5} = 2\\\x_5 = 10[/tex]
Answer:
10.
Step-by-step explanation:
The average of the 5 numbers =
(20 + x) / 5 = 6 where x is the 5th number.
20 + x = 30
x = 10
The fifth number is 10.
The scientist creates an equation that models her data for each tree so that she can predict the diameter in the future. Select the linear equation that fits the data for tree 1, where x is the year and y is the trunk diameter, in inches
Answer:
Step-by-step explanation:
0.3. x + 18.3
The data for tree 1 is an illustration of a linear equation.
The linear equation that fits the data for tree 1 is: [tex]\mathbf{y = 0.3x + 18.3}[/tex]
From the complete question, we have the following points
[tex]\mathbf{(x_1,y_1) = (1,18.6)}[/tex]
[tex]\mathbf{(x_2,y_2) = (3,19.2)}[/tex]
First, we calculate the slope (m)
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{19.2 - 18.6}{3 -1}}[/tex]
[tex]\mathbf{m = \frac{0.6}{2}}[/tex]
[tex]\mathbf{m = 0.3}[/tex]
The equation is then calculated as:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
So, we have:
[tex]\mathbf{y = 0.3(x - 1) + 18.6}[/tex]
[tex]\mathbf{y = 0.3x - 0.3+ 18.6}[/tex]
[tex]\mathbf{y = 0.3x + 18.3}[/tex]
Hence, the linear equation that fits the data for tree 1 is: [tex]\mathbf{y = 0.3x + 18.3}[/tex]
Read more about linear equations at:
https://brainly.com/question/21088228
What scale factor is shown by this graph?
1/2
2
4
1
SEE ATTACHED image!
the scale factor is 2.
because
if you look at the length AL in the smaller shape, it is 2 squares.
now if you look at the length AL in the enlarged shape, it is 4 squares.
to find the scale factor, do 4 ÷ 2 which is 2.
therefore the scale factor is 2
Answer:
The correct option is 2. The scale factor is 2.
Step-by-step explanation:
The coordinates of preimage are A(1,2), T(0,0), K(4,1) and L(3,2).
The coordinates of image are A'(2,4), T'(0,0), K'(8,2) and L'(6,4).
If a figure dilated by scale factor k with center at origin then the rule of dilation is
[tex](x,y)\rightarrow (kx,ky)[/tex]
[tex]A(1,2)\rightarrow A'(2,4)[/tex]
[tex]k=\frac{\text{x coordinate of image}}{\text{x coordinate of preimage}}[/tex]
[tex]k=\frac{2}{1}[/tex]
[tex]k=2[/tex]
Therefore the scale factor is 2 and the correct option is 2.
If the volume of a cone is 593.46 cubic inches and the radius is 9 inches what is the height
30 points!!!
To convert measurements in the metric system, you can move the decimal point left or right. Why does this work? The metric system only uses decimal numbers. Converting in the metric system does not involve multiplication or division. The metric system is based on powers of 10. The metric system does not have conversion factors.
Moving the decimal point left or right works in the metric systems because; The metric system is based on powers of 10.
Why does moving decimal point left or right work for metric system conversions?It follows from the task content that the reason for moving the decimal point left or right in metric system conversions be identified.
It follows from metric system conversions that;
centi- indicates 10-² = 0.01milli- indicates 10-³ = 0.001kilo- indicates 10³ = 1000deci- indicates 10-¹ = 0.1Based on the aforementioned, it can be concluded that the measurements conversion in the metric system is such that the decimal point is moved left or right.
Read more on metric system conversions;
https://brainly.com/question/976935
#SPJ1
Enter an inequality that represents the phrase the sum of 1 and y is greater than or equal to 6.
1+y (greater than or equal to symbol) 6