Answer: It is irrational because it cannot be written as a ratio of two integers. It is not a perfect square
Step-by-step explanation:
Tommy is beginning a science experiment in the lab. The instruction call for 0.322 kilgram of potassium. Write 0.322 as a fraction
the answer is
161/500
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The vertices of pentagon PQRST are P(0, 1), Q(2, 2), R(5, 3), S(4, 0), and T(1,−1). If pentagon PQRST is reflected over the y-axis which vertex will NOT change its coordinates?
Answer:
P(0,1)
Step-by-step explanation:
The vertices of pentagon PQRST are P(0, 1), Q(2, 2), R(5, 3), S(4, 0), and T(1,−1).
If a figure reflected across y-axis, then the relation between preimage and image is
[tex](x,y)\rightarrow (-x,y)[/tex]
If the pentagon PQRST reflected over the y-axis, then vertices of image are
[tex]P(0,1)\rightarrow P'(0,1)=P[/tex]
[tex]Q(2,2)\rightarrow Q'(-2,2)[/tex]
[tex]R(5,3)\rightarrow R'(-5,3)[/tex]
[tex]S(4,0)\rightarrow S'(-4,0)[/tex]
[tex]T(1,-1)\rightarrow T'(-1,-1)[/tex]
Therefore, only vertex P will not change its coordinates after reflection.
the value of (3⁰+2⁰)×5⁰ is
The resulting expression for (3⁰+2⁰)×5⁰ is 1
Before we solve the tabled algebra problem, we must understand that any value raise to the power of zero is 1.
Given the expression
(3⁰+2⁰)×5⁰
Since all the integers are raised to power of zero, hence;
3⁰ = 1
2⁰ = 1
5⁰ = 1
Substitute this values into the given expression
= (3⁰+2⁰)×5⁰
= (1+1)×1
= 1 × 1
= 1
Hence the resulting expression for (3⁰+2⁰)×5⁰ is 1
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A rectangle and a triangle have the same area. If their bases are the same lengths, how do their heights compare? Justify your answer.
The triangle's height would have to be 2 times that of the rectangles. To know this, you canlook at the formulas for the Area of each shape.
Rectangle: bh
Triangle: bh/2
A triangle is just a rectangle cut in half. In order for the areas to be the same asleep as the bases, the only way it can be true is if the height were 2 times larger than the height of the rectangle.
Expand 3x(11-7x). Help please
Answer: The required expand form is [tex]33x-21x^2.[/tex]
Step-by-step explanation: We are given to expand the following expression :
[tex]E=3x(11-7x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To expand the given expression, we must multiply 3x with each of the rems within the bracket.
The expansion of expression (i) is as follows :
[tex]E\\\\=3x(11-7x)\\\\=3x\times11-3x\times7x\\\\=33x-21x^2.[/tex]
Thus, the required expand form is [tex]33x-21x^2.[/tex]
7:( 4/11 m)=56:3.2 solve.
Answer:
m=1.1
Step-by-step explanation:
Divide one side by 8, then you get 7:(4/11 m)=7: 0.4
Basically then 4/11 m=0.4
4/11 m=2/5
m=(11/4)(2/5)
m=11/10, 1 1/10, 1.1
The value of m that satisfies the proportion 7:(4/11 m) = 56:3.2 is 1.1
How to determine the solution to the expressionFrom the question, we have the following parameters that can be used in our computation:
7: (4/11m) = 56 : 3.2
Cross-multiply the proportions
7 * 3.2 = (4/11 m) * 56
Simplify both sides:
22.4 = (4/11 m) * 56
Divide both sides by 56
(4/11 m) = 22.4 / 56
Simplify the right side
(4/11 m) = 0.4
Multiply both sides by (11/4)
m = 0.4 * (11/4)
So, we have
m = 1.1
Hence, the calculated value of "m" that satisfies the proportion 7:(4/11 m) = 56:3.2 is 1.1
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how do I evaluate 2 to the 5th power ÷ 8 + 3 over 4 + 3
find the distance between the points E(3,7) and F(6,5)
Answer:
-2/3
Step-by-step explanation:
y1 -y2 / x1 - x2
7 - 5 = 2
3 - 6 = -3
-2/3 = slope
Answer:
3.60555127...
Step-by-step explanation:
Which of the following is a rational number? square root of 15, square root of 16, square root of 17, square root of 18
Answer:
16 is a rational number 16/1.
Step-by-step explanation:
If you take the square root of 15 it will be 3.8.. but doesnt repeat, square root of 16 is 4 (perfect square) , square root of 17 is 4.123... doesnt repeat or stop, and the square root of 18 is 4.242.. but doesnt repeat or stop. A rational number can be expressed as a ratio or a fraction. 16 can be expressed as a fraction the other numbers keep going meaning never stop.
If you have the following equation; 4x - 4.5 = 10.73x + 5.7 + 7x, what would you multiply each term by to get rid of the decimals in the equations?
Answer:
100
Step-by-step explanation:
You are given the equation
[tex]4x-4.5=10.73+5.7+7x[/tex]
There are 5 coefficients:
[tex]4, \ -4.5,\ 10.73,\ 5.7,\ 7[/tex]
Two of them are integers
[tex]4,\ 7[/tex]
two of them are decimals with one digit after point
[tex]-4.5,\ 5.7[/tex]
and one is a decimal with two digits after point
[tex]10.73[/tex]
To get rid of fractions, we have to get rid of digits after point. The maximum number of digits after point is 2, then we have to multiply the equation by 100:
[tex]400x-450=1,073x+570+700x[/tex]
Final answer:
To eliminate decimals in an equation, multiply all terms by a power of 10 to shift the decimals to whole numbers, simplifying the calculation process.
Explanation:
To get rid of decimals in the equation 4x - 4.5 = 10.73x + 5.7 + 7x, you would multiply each term by a power of 10 that shifts the decimals to whole numbers. By determining the highest number of decimal places in the terms, you can multiply all terms by a suitable power of 10.
For example, if the highest number of decimal places is 2, you would multiply all terms by 100. This action shifts the decimals two places to the right, converting them into whole numbers and simplifying the equation.
By multiplying all terms by the appropriate power of 10, you eliminate decimals and work with whole numbers, making it easier to solve the equation.
Both sides of an equation have quadratic
expressions. The graph of one quadratic opens
upward. The graph of the other opens downward.
What are the possible number of intersections for
this system?
One line has a positive slope and the other a negative slope, they are bound to intercept eventually, so that's why there can't be zero solutions. Two lines can't intercept each other twice, and if they have opposite slopes they can't have infinite solutions.
let;
First quadratic equation whose graph open upward is
[tex]ax^{2} + bx + c = 0[/tex] , where (a≠0)
when a>0 is positive the graph upward .
And second quadratic equation whose graph open downwards is
[tex]-ax^{2} + bx + c = 0[/tex] , where ( a≠0 )
When a<0 is negative the graph open downwards.
There are 3 possibilities for the graph as shown in the figure.
Having zero intersection where the graph aren't touching.
Having one intersection point where the graph touching at one point.
Having two intersection points where the graph overlap.
So, the greatest possible number of intersections for these graphs is 2 as shown in figure.
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13/15 + 1/8 =
Please help
Answer: = 119/120
Step-by-step explanation:
=
104
120
+
15
120
=
104+15
120
=
119
120
(Decimal: 0.991667)
5. Greg says that 3.3 is a rational number. Kari saks 3.3 is not a terminating
decimal. Who is correct and why? Lesson 1-2
9514 1404 393
Answer:
Greg is correct. 3.3 has a finite number of digits
Step-by-step explanation:
A "non-terminating" decimal is one with an infinite number of digits. If you can actually count the digits, it is a terminating decimal. 3.3 has 2 digits, so is a terminating decimal. Greg is correct.
__
A terminating or repeating decimal is a rational number.
[tex]3.3 \quad\text{a terminating decimal equal to $\dfrac{33}{10}$}\\\\ 3.\overline{3} \quad \text{a non-terminating rep}\text{eating decimal equal to $\dfrac{10}{3}$}[/tex]
Using the concept of rational numbers, it is found that 5.3 is a rational number, as it is a terminating decimal, and thus, Greg is correct.
-------------------------------------------
Number sets are used to solve this question.
Whole numbers: Set of numbers including all positive numbers and 0, so: {0,1,2,...} Integer numbers: Number without decimals, that can be positive of negative, so: {...,-2,-1,0,1,2,....} Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern). Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339...., or 0.3333333...... Real numbers: Rational plus irrational.-------------------------------------------
3.3 is a terminating decimal, as it has only one digit after the decimal point, thus, it is a rational number, and Greg is correct.[tex]3.3333 \approx \frac{10}{3}[/tex] is not terminating, but this problem is about 3.3.A similar problem is given at https://brainly.com/question/13325494
the bakers at Healthy bakery can make 170 bagels in 5 hours. how many bagels can they bake in 13 hours? what was the rate per hour
Answer:
442
Step-by-step explanation:
170/5 (to find per hour)
34*13 = 442
Answer:
The rate per hour is 34 bagels per hour. They can bake 442 bagels in 13 hours.
Step-by-step explanation:
Rate per hour:
170/5= 34
You do this because you want to find the amount of bagels they can bake in 1 hour, which is found through 170/5.
Bagels in 13 hours:
34*13= 442
You use the unit rate established, 34 bagels per hour, and multiply it by 13 hours, 13*34.
17. Tina runs at a rate of 8 miles per hour. At that rate,
how many miles will she run in 12 minutes?
A. Í
B.
C. 1
Answer:
1.6 miles
Step-by-step explanation:
60/12=5
which will mean 1/5=.2
.2x8=1.6 miles
Tina's running rate is 8 miles per hour. In 12 minutes, she will cover a distance of 1.6 miles.
To calculate the number of miles Tina will run in 12 minutes, we need to convert the time to hours since her rate is given in miles per hour.
Since there are 60 minutes in an hour, we divide 12 minutes by 60 to convert it to hours:
12 minutes / 60 = 0.2 hours
Now, we can calculate the distance Tina will run by multiplying her rate by the time:
Distance = Rate * Time = 8 miles per hour * 0.2 hours
Distance = 1.6 miles
Therefore, Tina will run 1.6 miles in 12 minutes.
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What is the slope of the line represented by the equation 3x+4y= 12 ? –4/3 –3/4 3/4 4/3
Answer:
slope = - [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x + 4y = 12 into this form
Subtract 3x from both sides
4y = - 3x + 12 ( divide all terms by 4 )
y = - [tex]\frac{3}{4}[/tex] x + 3 ← in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
Answer:
Step-by-step explanation:
This all u need my dud
If a pair of shoes costs $52.50 including a 7.25% tax, what is the original cost of the item before taxes are added? No other symbols other than the number rounded to the second decimal.
Answer:
56.31
Step-by-step explanation:
A 7.25% tax is $3.81
52.50-3.81+48.69
Hope it helps!
Heather was asked to graph 3x - y = -4 by using slope and y-intercept. Her graph is shown. Which choice supports the graph that she has drawn? A) The slope is positive 3 and the y-intercept is (0, 4). B) The slope is negative 3 and the y-intercept is (0, 4). C) The slope is positive 3 and the y-intercept is (0, -4). D) The slope is negative 3 and the y-intercept is (0, -4).
Answer:
A) The slope is positive 3 and the y-intercept is (0, 4).
Step-by-step explanation:
3x - y = -4
-3x -3x
__________
-y = -3x - 4
__ _______
-1 -1
y = 3x + 4 >> y-intercept at [0, 4] and has a positive three rate of change [slope] ☑
I am joyous to assist you anytime.
Step-by-step explanation: usatestprep approved
What is the value of x?
HELP needed!
Complete the steps to find the value of x within the plane?
Answer:
Step-by-step explanation:
What is the answer to this question
Answer:
- 1, 1, - 3
Step-by-step explanation:
To obtain the value of f(1), we require the corresponding value of y from the graph when x = 1
From the graph
when x = 1 the value of y on the graph is - 1 ⇒ f(1) = - 1
Similarly
f(3) means what is the value of y corresponding to x = 3
From the graph when x = 3 then y = 1 ⇒ f(3) = 1
and f(- 1) = - 3
55.4
The 5 in the ones place is. The value of the 5 in the tens place
The 5 in the ones place has a value of 5, while the 5 in the tens place has a value of 50.
Hope this helped!
Nate
The answwe is that 5 is 50 and 5 is 5, giv the other user brainliest tho...
If you vertically compress the absolute value parent function, f(x) = [xl, by a
factor of 4, what is the equation of the new function?
Answer:Vertical stretch/compression is achieved by multiplying the function by a certain constant. In particular, if the function is vertically stretched by a factor k, otherwise, if , the function is vertically compressed by a factor k. So, in your case, you want to multiply the function by 1/4.
Which expression converts 100 inches per minute to feet per minute?
StartFraction 100 inches Over 1 minute EndFraction × StartFraction 60 minutes Over 1 hour EndFraction
StartFraction 100 inches Over 1 minute EndFraction × StartFraction 1 hour Over 60 minutes EndFraction
100 inches Over 1 minute times × 1 foot Over 12 inches
100 inches Over 1 minute times × 12 inches Over 1 foot
Answer:
100 inches Over 1 minute times × 1 foot Over 12 inches
Step-by-step explanation:
Remember that
[tex]1\ ft=12\ in[/tex]
so
[tex]1\ in=1/12\ ft[/tex]
we have
[tex]100\frac{in}{min}[/tex]
Convert to ft/min
To convert in/min to ft/min multiply the given value by the factor 1/12
[tex]100\frac{in}{min}(1/12)\frac{ft}{in}=8.33\ ft/min[/tex]
therefore
100 inches Over 1 minute times × 1 foot Over 12 inches
100 inches Over 1 minute times × 1 foot Over 12 inches, the correct answer is 3.
We know that,
1ft = 12inches
So, 1 in. = 1/12 ft
We have expression converts 100 inches per minute to feet per minute
100 inches/min
To convert in/min to ft/min multiply the given value by the factor 1/12
100 inches/min (1/12 ft/in)
Therefore, 100 inches Over 1 minute times × 1 feet Over 12 inches
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Rewrite the radical expression as an expression with rational exponents.
fifth root of x to the power of 9
a- x to the five ninths power
b-x to the nine fifths power
c-5x9
d- 9x5
The fifth root of x can be expressed as a power of 1/5 this way:
x^(1/5).
Now raise [x^(1/5)] to the 9th power.
[x^(1/5)]^(9)
Multiply the powers to complete the problem.
x^(9/5)
Answer: Choice B.
The expression 'fifth root of x to the power of 9' can be rewritten as 'x to the 9/5 power' in terms of rational exponents, this is option b.
Explanation:The correct rewrite of the expression, 'fifth root of x to the power of 9', utilizing rational exponents instead of a radical approach, is expressed as x to the 9/5 power. When translating a radical to a rational exponent, the index of the root becomes the denominator and the power of the term inside the root becomes the numerator.
So, fifth root of x to the power of 9 translates to x to the power of 9/5, which corresponds to option b.
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There are 54 students in the auditorium, 28 girls and 26 boys. What is the
ratio of girls to boys in the auditorium?
Hey!
---------------------
We Know:
54 students.
28 boys.
26 boys
---------------------
Solution and Answer:
28:26 (Ratio Un-Simplified)
14:13 (Ratio Simplified)
14/13 works to!
---------------------
Hope This Helped! Good Luck!
Answer:
28:24 reduced to 7:6
A store started off the day with 32 500 items and finished with 30 824 in stock HOW MANY ITEMS SOLD (“the difference”)
Answer:
1676
Step-by-step explanation:
The store started with 32500 items and finished the day with 30824 items.
Intial value = 32500
Final value = 30824
Difference = Initial value - Final value = 32500 - 30824 = 1676
The store sold 1676 items in the day
Ally works in a shop for $18 per hour
Answer:
You have to finish the question lol
Step-by-step explanation:
What is the answer to this expression?
Step-by-step explanation:
4 (3^2-2^3)^3
4 (9-8)^34×1^34×14Answer:
4
Step-by-step explanation:
1. A right circular cylinder has a height of 5 in. and a base area of 20 in2. What is the volume of the cylinder? Use π = 3.14.
2. A cylinder has a base area of 20.7 in2 and the volume is 207 in3. What is the height of the cylinder?
1. Volume of a cylinder is πr^2h
Area of the base would be πr^2
Volume would be the height x the area of the base:
Volume = 5 x 20 = 100 cubic in.
2. Divide the volume by the area:
207 / 20.7 = 10
The height is 10 inches.
Answer:
1. V = 100 in³2. h = 10 inStep-by-step explanation:
The formula of a volume of a cylinder:
[tex]V=Bh[/tex]
B - base area
h - height
1. We have
h = 5in, B = 20 in².
Substitute:
[tex]V=(5)(20)=100\ in^3[/tex]
2. We have
B = 20.7 in², V = 207 in³.
Substitute:
[tex]207=20.7h[/tex] divide both sides by 20.7
[tex]\dfrac{207}{20.7}=\dfrac{20.7h}{20.7}\\\\10=h\to h=10\ in[/tex]