Answer:
26.2244 mi
Step-by-step explanation:
Step 1: Find conversion
1 mi = 1.609 km
Step 2: Use Dimensional Analysis
[tex]42.195 \hspace{2} km (\frac{1 \hspace{2} mi}{1.609 \hspace{2} km} )[/tex]
26.2244 mi
I dont understand hot to find g(3)
The answer to this equation is 4. This is because since the function is g(3), you plug in x with 3. 3*3 = 9. 9+7 = 16. The square root of 16 is equal to 4, so that is your answer.
What is the range of these wages £140 £525
what is [12÷(3-1)+4]×6
Answer:
60
Step-by-step explanation:
12 ÷ (3 - 1) = 6
6 + 4 = 10
10 × 6 = 60
What is the image of (–9,-5) after a dilation by a scale factor of 5 centered
at the origin?
Answer: (-45,-25)
Step-by-step explanation:
Multiply each coordinates value by the scale factor to find the new point.
-9 * 5 = -45
-5 * 5 = -25
(-45,-25)
We have two varieties of concrete that we can mix together. One is 5% water and 95% concrete mix, and the other is 20% water and 80% concrete mix. We want to end up with 30 pounds of a result that is 10% water and 90% concrete mix. Determine how many pounds of each variety we need.
Answers:
20 pounds of the 95% concrete mix10 pounds of the 80% concrete mix=================================================
Explanation:
x = amount of the 95% concrete mix
y = amount of the 80% concrete mix
Type A mix has 95% concrete. If we have x pounds of this, then 0.95x pounds is pure concrete. Type B mix has 80% concrete. If there are y pounds of this, then 0.80y pounds is pure concrete.
So far we have 0.95x+0.80y pounds of pure concrete from the two mixes
Divide this over 30 to get (0.95x+0.80y)/30
Setting this equal to 0.90 means we want the final mix to be 90% concrete.
Since we want 30 pounds total, we can say x+y = 30 which solves to y = 30-x. We'll use this later
-------------------------------
(0.95x+0.80y)/30 = 0.90
0.95x+0.80y = 30*0.90 .... multiply both sides by 30
0.95x+0.80y = 27
0.95x+0.80(30-x) = 27 ..... plug in y = 30-x
0.95x+0.80*30-0.80*x = 27
0.95x+24-0.80x = 27
0.15x+24 = 27
0.15x = 27-24 ..... subtracting 24 from both sides
0.15x = 3
x = 3/0.15 ........... dividing both sides by 0.15
x = 20
y = 30-x
y = 30-20
y = 10
-| -8 | |-(-8) are they equal ? Or which one is more ?
Answer:
-| -8 | is less than |-(-8)|
Step-by-step explanation:
-| -8 | =-8
|-(-8)| =8
they are not equal
-| -8 | is less than |-(-8)|
Is the expression 2 • 4' equal to the expression 8x?Explain your answer
Answer:
Yes
Step-by-step explanation:
If your expression is 2*4 it will equal 8 and if your still not sure divide 8 by 4 and your answer is 2 or 8 by 2 and you'll get 4.
what is equivalent to 5 meters
Answer:
500 centimeters
Step-by-step explanation:
cause it is
Help me make sure this is right please??!!
Answer:
[tex]2\sqrt{3} -3\sqrt{3}[/tex]
Step-by-step explanation:
We need a number that is able to be square rooted, and then we square root it and take it out so it is simplified
[tex]\sqrt{4*3} -\sqrt{9*3}[/tex]
The square root of 4 is 2, and the square root of 9 is 3.
[tex]2\sqrt{3} -3\sqrt{3}[/tex]
Write 7*10*10*10*10 with an exponent
7*10*10*10*10=
(3x+4) and (2x−3). What is the perimeter of the park?
Answer: 10x-2
Step-by-step explanation:
I assume this is a rectangular park
Formula for perimeter: 2(l + w)
l= 3x+4
w= 2x-3
--------------------------------------------------------
Use PEMDAS to simplify (basic operation from left to right)
ParenthesesExponentsMultiplication and DivisionAddition and subtraction2(l+w)
=2[(3x+4)+(2x-3)]
=2[3x+4+2x-3]
=2[5x-1]
=10x-2
A line passes through the point (4,–2) and is perpendicular to the line with the equation y = 2∕3x + 4. What's the equation of the line? Question 1 options: A) y = –3∕2x – 4 B) y = 2∕3x + 3 C) y = 3∕2x – 8 D) y = –3∕2x + 4
Answer:
Step-by-step explanation:
perp. -3/2
y + 2 = -3/2(x - 4)
y + 2 = -3/2x + 6
y = -3/2x + 4
answer is D
describe a real-world situation using opposites
Answer:
The real world using opposite would be like calling it perfect or or saying that it is normal now days. Hope this helps!
Really need help on this!!
Answer:
Hey there!
There are 3+4+6+3, or 16 females.
3 of the females are seniors.
Thus, the percent is 3/16, or 19%
Let me know if this helps :)
(6 + h 2− j) ÷ 2; use h = 6, and j = 4
Answer:
19
Step-by-step explanation:
Given
(6 + h² - j) ÷ 2 , substitute h = 6 and j = 4 into the parenthesis
= (6 + 6² - 4) ÷ 2
= (6 + 36 - 4) ÷ 2
= 38 ÷ 2
= 19
(2ײy²)⁰ I need help with exponents
Answer:
1.
Step-by-step explanation:
Any real value to the power of 0 is 1.
3 is multipled by the cube of a number.
Answer:
Cube of a number is three times of the same number. Cube of any mathematical expression is represented by the superscript 3. For example a 3 of the number is a x a x a. It can also be told as the number multiplied by its square. a 3 = a x a 2 can you please help me
Step-by-step explanation:
The perimeter of a playing field for a certain sport is 334ft. The field is a rectangle, and the length is 47 ft longer than the width. Find the dimensions.
Answer:
The dimensions of the rectangle = 60ft by 107ft
Where 60 ft = Width of the playing field
107ft = Length of the playing field
Step-by-step explanation:
A playing field is Rectangular is shape, hence,
The formula for Perimeter of a rectangle = 2(L + W)
P = 334 ft
L = 47 + W
W = W
Hence we input these values in the formula and we have:
334 = 2(47 + W + W)
334 = 2(47 + 2W)
334 = 94 + 4W
334 - 94 = 4W
240 = 4W
W = 240/4
W = 60
There fore, the width of this playing field = 60 ft
The length of this rectangle is calculated as:
47 + W
47 + 60
= 107 ft
The length of this playing field = 107ft
Therefore the dimensions of the rectangle = 60ft by 107ft
Triangle MNO is a right triangle with one leg = 15ft and the other leg = 18ft. Calculate the
length of the hypotenuse to the nearest hundredth of a foot (2 decimal places)
Answer:
Length of the hypotenuse = 23.43ft
Step-by-step explanation:
First leg = 15ft
Second leg = 18ft
Length of the hypotenuse = ?
In a right angle triangle,
Hypotenuse^2 = opposite^2 + Adjacent^2
Let first leg and second leg of the triangle be opposite and adjacent respectively
Hypotenuse^2 = opposite^2 + Adjacent^2
= 15^2 + 18^2
= 225 + 324
= 549
Hypotenuse^2 = 549
Find the square root of both sides
√Hypotenuse^2 = 549
Hypotenuse = 23.43ft to the nearest of a hundredth
Length of the hypotenuse = 23.43ft
Which of the following is a rational number? 79, 80, 81, 82
given the piece wise function show below, select all that are true
Answer:
Option (C) and (D)
Step-by-step explanation:
Given piecewise function is,
f(x) = 2x, x < 1
5, x = 1
[tex]x^{2}[/tex], x > 1
Option (A),
x = 5 means x > 1
So the function will be,
f(x) = [tex]x^{2}[/tex]
f(5) = (5)²
= 25
Therefore, f(5) = 1 is not correct.
Option (B),
x = -2 means x < 1
f(x) = 2x will be applicable.
f(-2) = 2(-2) = -4
Therefore, f(-2) = 4 is not correct.
Option (C)
For x = 1,
f(1) = 5
Therefore, f(1) = 5 is the correct option.
Option (D)
x = 2 means x > 1 and the function defined will be,
f(x) = x²
f(2) = 2²
= 4
Therefore, f(2) = 4 will be the correct option.
Options (C) and (D) will be the answer.
At what value(s) of x does f(x) = -x4 + 2x2 have a critical point where the graph changes from decreasing to increasing?
Hope the graph helps!
21-m=9 anyone know this ?
Answer:
m=12
Step-by-step explanation:
21-m=9
-m=9-21
-m=-12
m=12
Answer:
12
Step-by-step explanation:
21-m=9
21-9=12
m=12
-3, -2,-1, 0, 1, 2, 3, are called_______
Answer: Integers
Step-by-step explanation: To help introduce the set
of integers, let's use the number line shown below.
Notice that on a number line, 0 is in the middle, all numbers to the
left of 0 are negative, and all numbers to the right of 0 are positive.
The set of integers includes the set of whole numbers, {0, 1, 2, 3, ...},
which appear at 0 and to the right of 0 on the number line.
The set of integers also includes {-1, -2, -3, ...} which
appear to the left of 0 on the number line.
So the ste of integers can be written as {...-3, -2, -1, 0, 1, 2, 3...}.
Answer:
Integers
Step-by-step explanation:
a positive (+) or negative (-) number with no fractional parts. zero (0) Is also an integer
Examples: -3, 3
Which polynomial is in standard form?
1 + 2x - 8x + OX
O 2x2 +6x3-9x+ 12
6x3 + 5x-3x2 + 2
2x3+4x2 - 7x+5
Answer:
last option is correct because the standard form of polynomial means the arrangement of power in descending order
Let f(x) = 3x² - x, find f(-3) *
Answer:
30
Step-by-step explanation:
if f(x)=3x^2 - x then,
f(-3)=3*-3^2 -(-3)
=3*9 +3
=27+3
=30
So, The value of f(-3) is 30
Hope Thiswill be helpful for you.
Answer the following questions about this figure.
PLS HELP ME
Answer:
143
Step-by-step explanation:
First, figure out the measurement of angle 2. Take 180 degrees (the total of the triangle) and subtract 90 (the right angle) and 53 (the given measurement of angle 1). 180-90-53=37
Angle 2 measures 37 degrees. The measurements of angles 2 and 3 need to equal 180 when added together as they form a straight line, so take the total (180) and subtract the value of angle 2 (37). 180-37=143
Angle 3 measures 143 degrees
Can anyone solve this word problem?
Answer:
Mrs. Davis package is 30 ounces
Step-by-step explanation:
x for ounces
mailbox plus=0.25x+5
united package=0.35x+2
since Mrs.Davis noticed that she is going to pay same price then:
0.25x+5=0.35x+2
5-2=0.35x-0.25x
3=0.10x
x=3/0.10
x=30 ounces
Mrs. Davis package is 30 ounces
check:
0.25x+5=0.25(30)+5= 12.5 dollars
o.35(30)+2=12.5 dollars
What is the simplified expression for the expression below? –1(2x + 3) – 2(x – 1)
Answer:
-4x - 1.
Step-by-step explanation:
-1(2x + 3) - 2(x - 1)
= -2x - 3 - 2x + 2
= -4x - 1.
Answer:
-4x -1
Step-by-step explanation:
-2x -3 -2x + 2
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $82,910, and the variable costs will be $10.75 per book. With the other method, the one-time fixed costs will total $22,110 , and the variable costs will be $23.25 per book. For how many books produced will the costs from the two methods be the same?
Answer:
When 4864 books are sold
Step-by-step explanation:
Create an equation where x is the number of books produced:
The first method will be represented by 10.75x + 82,910
The second method will be represented by 23.25x + 22,110
Set these equal to each other and solve for x:
10.75x + 82,910 = 23.25x + 22,110
82,910 = 12.5x + 22,110
60,800 = 12.5x
4864 = x
So, the costs will be the same for both methods when 4864 books are sold