Answer:
22
Step-by-step explanation:
c²= a²+b²= (5.6)²+ (7,1)²=9
P=5.6+7.1+9=21,7=22
C=5/9(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
1. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.
2. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
3. A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
D) I and II only
Step-by-step explanation:
Complete the table of values for the function f(x) = (1/3)x for a, b, and c. x : -2, -1, 0, 1, 2. f(x) : a, b, c, 1/3, 1/9
Given:
The function is
[tex]f(x)=\left(\dfrac{1}{3}\right)^x[/tex]
To find:
The missing values for a, b, and c in the given table.
Solution:
We have,
[tex]f(x)=\left(\dfrac{1}{3}\right)^x[/tex]
At x=-2,
[tex]f(-2)=\left(\dfrac{1}{3}\right)^{-2}[/tex]
[tex]a=\left(3\right)^{2}[/tex] [tex]\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right][/tex]
[tex]a=9[/tex]
At x=-1,
[tex]f(-1)=\left(\dfrac{1}{3}\right)^{-1}[/tex]
[tex]b=\left(3\right)^{1}[/tex] [tex]\left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right][/tex]
[tex]b=3[/tex]
At x=0,
[tex]f(0)=\left(\dfrac{1}{3}\right)^{0}[/tex]
[tex]c=1[/tex] [tex]\left[\because a^0=1, a\neq 0\right][/tex]
Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.
Answer: below
Step-by-step explanation:
Please help me I’ll give all my coins!
Answer:
x=3
Step-by-step explanation:
-4-5x+10x+9=20 ] +4
-5x+10x+9=20+4 ] -9
-5x+10x=24-9
5x=15
15:5=3
x=3
If you divided 656 into 32 equal parts , each containing a whole number of square miles, how large would each part be? How large would the remaining area be?
David works in a department store selling clothing. He makes a guaranteed salary of $250 per week, but is paid a commision on top of his base salary equal to 5% of his total sales for the week. How much would David make in a week in which he made $1500 in sales? How much would David make in a week if he made xx dollars in sales?
Answer:
250 + 0.05 (1500)
250 + 75 = $325 david made i a week with 1500 in sales
250 + 0.05(xx) is how much david would make if he sold xx that week
Step-by-step explanation:
i hope this helped :)
A linear function is a function that changes at a constant rate.
David would make $325 if he made $1500 in sales,He would make 250 + 0.05x if he made $x in salesThe given parameters are:
Flat Salary = $250 weeklyCommission= 5%A linear function is represented as:
[tex]C(x) = b + mx[/tex]
Where:
b represents the y-interceptm represents the slopeSo, we have:
[tex]C(x) = 250 + 5\% \times x[/tex]
Express 5% as decimal
[tex]C(x) = 250 + 0.05 \times x[/tex]
[tex]C(x) = 250 + 0.05x[/tex]
On a sale of $1500, the equation becomes
[tex]C(x) = 250 + 0.05 \times 1500[/tex]
[tex]C(x) = 325[/tex]
Hence. David would make $325 if he made $1500 in sales, and he would make 250 + 0.05x if he made $x in sales
Read more about linear equations at:
https://brainly.com/question/14323743
How do I give brainliest I forgot whoever lets me know how I will give them it
Vertical Angles: Find the Supplementary Angles (photo provided)
Answer:
105°
Step-by-step explanation:
The given angles are vertical and congruent , then
8x - 21 = 6x + 3 ( subtract 6x from both sides )
2x - 21 = 3 ( add 21 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Then
6x + 3 = 6(12) + 3 = 72 + 3 = 75°
Supplementary angles sum to 180° , thus
supplementary angle = 180° - 75° = 105°
What is the area of the triangle?
7
5
4
A. The rate of change of function A is -2 The rate of B is 8
B. The rate of hangs function A is 1 The rate of change of function B is 8
C. The rate of change of function A is -2 The rate of change of function B is 4
D. The rate of change of function A is 1 The rate of change of function A is 1 The rate of function B is 4
The ratio of cats to dogs at a pet store is
4:5, which means...
Answer:
Huhhhhhhhhhhhh 4x and 5x
Drag each tile to the correct box.
Each of these equations holds true for one value of x from the set {5, 12, 15, 18). Arrange the equations in increasing order of the x-values that
make them true.
6x - 15 = 75
2(2x - 1) = 46
X + (x - 10) = 26
5x - 3x = 10
Reset
Next
Step-by-step explanation:
6x - 15 = 75, 6x = 90, x = 15.
2(2x - 1) = 46, 2x - 1 = 23, x = 12.
x + (x - 10) = 26, 2x = 36, x = 18.
5x - 3x = 10, 2x = 10, x = 5.
Hence the equations
in increasing order of x-values are:
5x - 3x = 10,
2(2x - 1) = 46,
6x - 15 = 75, and
x + (x - 10) = 26.
Answer:
5x - 3x = 10
2(2x - 1) = 46
6x - 15 = 75
x+(x - 10) = 26
please help I'll give brainliest
Alice is going to invest some money for 5 years.
She can choose from two options:
Investment A: 2.7% compound interest per annum
Investment B: 2.8% simple interest per annum
Which investment should Alice choose
Answer:
Option AStep-by-step explanation:
Let the amount be P
Compound interest:
P*(1 + 0.027)^5 = P*1.1425 roundedSimple interest:
P*(1 + 0.028*5) = P*1.14Alice should choose compound interest, Option A
3x + 4y - 2(x + 1) + 2(4y - 8) – 25y + 485
1x - 13y + 475
Step-by-step explanation:
[tex]3x \: + \: 4y \: - \: 2(4y \: - \: 8) \: - \: 25y \: + \: 485[/tex]
3x + 4y - 2x - 2 + 8y - 8 - 25y + 485
3x - 2x + 4y + 8y - 25y - 2 - 8 + 485
1x + 4y + 8y - 25y - 2 - 8 + 485
1x + 12y - 25y - 2 - 8 + 485
1x - 13y - 2 - 8 + 485
1x - 13y - 10 + 485
1x - 13y + 475
HOPE THIS HELPS YOU
The area of a rectangle is 588 in^2. The ratio of the length to the width is 4:3. Find the length and the width
Answer:
Length is 336 in, width is 252 in
Step-by-step explanation:
Divide 588 by 7 which equals 84. Since this one-seventh, and the given ratio is 4:3, multiply 84 by 4 for the length and 84 by 3 for the width.
The length and the width of the rectangle are 28 in and 21 in, respectively.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
Let's assume the length of the rectangle is 4x, and the width is 3x, where x is a common factor.
The area of a rectangle is given by the formula:
Area = Length × Width.
Given that the area is 588 in², we can set up the equation:
(4x)(3x) = 588
12x² = 588
Dividing both sides of the equation by 12:
x² = 588 / 12
x² = 49
Taking the square root of both sides:
x = √49
x = 7
So, x = 7.
Now we can find the length and width:
Length = 4x = 4(7) = 28 inches
Width = 3x = 3(7) = 21 inches
Therefore, the length of the rectangle is 28 inches, and the width is 21 inches.
Learn more about the Area of the rectangle here:
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Which price is equivalent to $1.50 for 1 pound of apples?
Answer: $3.00 for 2 pounds of apples
Step-by-step explanation:
Answer:
A: 6 pounds of Apples for 9$
9/6=1.5=$1.50 per pound
Step-by-step explanation, no need to.
Find g(x), where g(x) is the translation 2 units right of f(x)=|x|.
The expression 10x-x^2 is greater than zero for all values of x that are
(A). Greater than 0.
(B). Less than 0 but greater than 10
(C). Greater than 10
(D). Greater than 0 but less than 10
Answer:
Here Is Your Answer Less Than 0 But Greater Than 10
NEED HELP FAST PLEASE.
Please answer all these.
AND BECAUSE YOUR GONNA ANSWER ALL OF THEN IMA GIVE YOU 50 POINT
Answer:
60
Step-by-step explanation:
Please solve this for me! Thank you so much I appreciate you. tpwk
Answer:
C
Step-by-step explanation:
MATH LOVERS PLS!!!!!!!
Pls help me!!! And thank yiuuu!!!
Answer:
[tex]\huge\boxed{x = 8}[/tex]
Step-by-step explanation:
In order to solve for x, we need to note a few angle relationships here.
A) Equations can be used to represent angle lengths as long as there is something else to reference it (such as a supplementary/congruent/etc. angle) B) When two parallel lines are cut by a transversal, the angle measures formed by the transversal will be the same.Using these rules, we can start to figure out that the angle [tex]7x+3[/tex] is going to be congruent to the angle [tex]3x+35[/tex]. Since the angle measures will be the same, that means the value of x will also be the same. Therefore, we can set the two equations equal to each other and solve for x.
[tex]7x + 3 = 3x+35[/tex] [tex]4x + 3 = 35[/tex] [tex]4x = 32[/tex] [tex]x = 8[/tex]Hope this helped!
Need help tx sm I appreciate it
Answer:
x =11Step-by-step explanation:
Using the triangular law which states that the sum of interior anggle of a triangle is equal to exterior angle
From the diagram
Interior angles = 5x +10 and 58
Interior angle = 11x+2
Equate both expressions
5x + 10 + 58 = 11x+2
5x - 11x = 2 - 10 - 58
-6x = 2-68
-6x = -66
x = -66/-6
x = 11
Hence the value of x is 11
A function rule takes an input(x) and coverts into an output(y), by increasing 4 times the inpuy by 36. Write an equation for the rule and determine the output for this rule when the input is 3
Answer:
[tex]y = 4x + 36[/tex]
[tex]y = 48[/tex] when [tex]x = 3[/tex]
Step-by-step explanation:
Given
x = input
y = output
Required
Determine the equation of y
The process to get y is as follows:
Multiply x by 4: x * 4
Increase the result by 36: x * 4 + 36
Hence:
[tex]y = x * 4 + 36[/tex]
[tex]y = 4x + 36[/tex]
Solving y when x = 3
Substitute 3 for x in [tex]y = 4x + 36[/tex]
[tex]y = 4 * 3 + 36[/tex]
[tex]y = 12 + 36[/tex]
[tex]y = 48[/tex]
the measure of ∠G is 82°. What is the measure of its compliment?
Answer:
First off, complementary angles are when 2 angles add up to 90 degrees. So if one angle is 82 degrees the other is 8 degrees.
Step-by-step explanation:
Find the value of x using the pythagorean theorem.
Do the side lengths form a pythagorean triple?
Answer:
[tex] {x}^{2} = {9}^{2} + {40}^{2} \\ {x}^{2} = 81 + 1600 \\ {x}^{2} = 1681 \\ x = \sqrt{1681} \\ x = 41[/tex]
plzz ,thnx my answer...
Given the equation: 9y + 3x = 30 , what's the y-
intercept? Round to the nearest hundredth.
Answer:
3.3 or 10/3
Step-by-step explanation:
Please help *I’ll mark you as a brnlist please please ASAP ASAP please help me please
Answer:
12.6
Step-by-step explanation:
Given
with reference angle 57°
perpendicular (p) = y
hypotenuse (h) = 15
Now
sin 57° = p / h
0.84 = y / 15
y = 0.84 * 15
y = 12.6
Hope it will help :)
Select all the points that are on the graph of the line 3x+2y=24
Answer: It would be (0,12) for sure but I'm not sure about the rest
Step-by-step explanation:
i’ll give you all my points that i have and rate you good if you answer these three questions before 3:00pm est. if f(x)=8-5x, find each value. one is f(4c), the second question is f(2-k), and the third is f(4p+3)
is 315/8 rational or irrational
Answer:
315/8 GIVES 39.375. But 35.375 Is actually a rational number, because it is terminating after 3 decimal places.
Step-by-step explanation:
Answer:
315/8 is rational.
Step-by-step explanation:
It is rational because 315/8 = 39.375. But 35.375 Is actually a rational number because it is terminating after 3 decimal places.
