Answer:
x = 3[tex]\sqrt{2}[/tex]
step-by step:
x -√2=√8
x = [tex]\sqrt{12}[/tex]
x = [tex]\sqrt{6 * 2}[/tex]
x = [tex]\sqrt{2 * 2 * 3}[/tex]
x = 3[tex]\sqrt{2}[/tex]
Answer:
x = 3 sqrt(2)
Step-by-step explanation:
x -√2=√8
Add sqrt(2) to each side
x - sqrt(2) + sqrt(2) = sqrt(8)+ sqrt(2)
x = sqrt(8)+ sqrt(2)
Rewriting sqrt(8) as sqrt(4) sqrt(2) = 2 sqrt(2)
x = 2 sqrt(2)+ sqrt(2)
x = 3 sqrt(2)
A model for the basal metabolism rate, in kcal/h, of a young man is given by the formula below, where t is the time in hours measured from 5:00 AM. What is the total basal metabolism of this man over a 24 hour period
Answer:
A model for the basal metabolic rate in kcal h of a young man is
A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 85 -0.18 cos(πt/12), where t is the time in hours measured from 5:00 AM.
YEAR 8 ALGEBRA PLS HELP>
Answer:
Nikki is 16, Travis is 8
Step-by-step explanation:
We need to set up an equation
If x is Nikki's age, then Travis' would x-8 since Nikki is 8 years older.
x+(x-8)=24
2x-8=24
2x=32
x=16
Nikki is 16, Travis is 8
Answer:
the oldest is 16 and the other sibling Travis =8
Step-by-step explanation:
x+y=24
x-y=8 ⇒ x=8+y
solve by substitute
8+y+y=24
2y=24-8
2y=16
y=16/2=8
x=8+y
x=8+8=16
x=16
y=8
The manufacturer of computers spends $500 to make each computer and sells them for 800. The manufacturer also has fixed costs each month of $5700. Find the cost function C when x computers are manufactured.
Answer:
C(x) = 5700 + 500x
Step-by-step explanation:
Total cost = fixed cost + variable cost
Fixed cost are cost that do not change in the process of production such as machineries, furnitures & fittings.
Variable cost are cost that changes with production such as cost of raw material, cost of labor.
From the question:
Fixed cost= $5,700
Cost per unit of computer = $500
If x number of computers are produced in a month
Variable cost = 500x
Total cost = fixed cost + variable cost
C(x) = 5700 + 500x
Where,
C(x) = total cost
5700= fixed cost
500x= variable cost
Answer:
C(x)=500x+5700.
Step-by-step explanation:
he general Cost function formula is given by
C(x)=cost per unit⋅x+fixed costs.
The manufacturer has fixed costs of $5700 no matter how many computers it produces. In addition to the fixed costs, the manufacturer also spends $500 to produce each computer. If we substitute these values into the general cost function, we find that the cost function when x computers are manufactured is given by
C(x)=500x+5700.
What is the length of line segment AB with endpoints
A(3, 1) and B (0, -3)
Greetings from Brasil...
The expression that allows you to calculate the distance between two points is:
d(A; B) = √[(Xb - Xa)² + (Yb - Ya)²]Bringing to our problem:
d(A; B) = √[(0 - 3)² + (- 3 - 1)²]
d(A; B) = √[(- 3)² + (- 4)²]
d(A; B) = √[9 + 16]
d(A; B) = √[25]
d(A; B) = 5a certain oak tree is 12 feet taller than a certain pine tree. if the pine tree is p feet tall, which expression represents the height of the oak tree?
Answer:
o=p+12
Step-by-step explanation:
height of the oak tree is equal to the height of the pine tree plus 12 feet.
At a sale, dresses were sold for $39 each. If the dresses originally cost $60 each, what percentage of its original price was a dress sold for?
Answer:
65%
Step-by-step explanation:
We're looking for how big a part of the original price the reduced price is.
This can be done using division.
E.g., if the reduced price was $1, and the original price was $10, we can find how big of a part $1 is of $10 by dividing them.
[tex]\frac{1}{10} = 0.1 = 10\%[/tex]
The reduced price is 10% of the original price. Remember that 0.1 in decimal is 10%, same as how 1.0 is 100%, and 0.3 is 30%.
Let's try this using our dresses. The reduced price was $39, and the original price was $60.
[tex]\frac{39}{60} = 0.65 = 65\%[/tex]
The dresses were sold at 65% of the original price.
Note, this does NOT mean that they were sold at a 65% discount. To find that, we'd have to find out how big the discount was. Then, we'd divide it by the original price.
For example, if the original price was $10, and the reduced price is $9, then the reduced price is 90% of the original price, but it's at a 10% discount.
[tex]\frac{9}{10} = 0.9 = 90\%[/tex]
[tex]10-9=1[/tex]
[tex]\frac{1}{10}=0.1=10\%[/tex]
definition of coordinate pair
solving by graphing
solving by substitution
solving by elimination
slope-intercept form
standard form
term
constant
variables
multiplicative combination
m
b
Answer & Step-by-step explanation:
definition of coordinate pair
A system and method is provided for converting an input signal from a sequence of rectangular coordinate pairs to a sequence of polar coordinate pairs.
solving by graphing
A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system
solving by substitution
The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other.
solving by elimination
The elimination method of solving systems of equations is also called the addition method. To solve a system of equations by elimination we transform the system such that one variable "cancels out". ... In order to solve for y, take the value for x and substitute it back into either one of the original equations.
slope-intercept form
the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept
standard form
Standard form is a way of writing down very large or very small numbers easily. 103 = 1000, so 4 × 103 = 4000 . So 4000 can be written as 4 × 10³ . This idea can be used to write even larger numbers down easily in standard form.
Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number)
term
In Algebra a term is either a single number or variable, or numbers and variables multiplied together.
Terms are separated by + or − signs, or sometimes by divide.
constant
A fixed value.
In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.
variables
A symbol for a value we don't know yet. It is usually a letter like x or y.
Example: in x + 2 = 6, x is the variable.
Why "variable" when it may have just one value? In the case of x + 2 = 6 we can solve it to find that x = 4. But in something like y = x + 2 (a linear equation) x can have many values. In general it is much easier to always call it a variable even though in some cases it is a single value.
multiplicative combination
Any of the ways we can combine things, when the order does not matter.
Example: For a fruit salad, how many different combinations of 2 ingredients can you make with apple, banana and cherry?
Answer: {apple, banana}, {apple, cherry} or {banana, cherry}
When the order does matter, such as a secret code, it is a Permutation.
Which of the following numbers is closest to 5?
A. V23
B. V26
C. V22
D. V28
Answer:
B
Step-by-step explanation:
V26 is closer to 5 because it's only one number away.
The number among the option that is closest to 5 is √26.
How to find the number closest to 5?The number closest to 5 is the number that is almost 5.
The option are express in surd form, therefore, lets express in real numbers(decimal form) Real numbers are rational or irrational numbers. Therefore,
√23 = 4.79583152331
√26 = 5.09901951359
√22 = 4.69041575982
√28 = 5.29150262213
Therefore, using the decimal form, the closest number to 5 is √26
learn more on numbers here:https://brainly.com/question/21094079
#SPJ2
5 + 3x – 2x = 31 – 6 – 5
What is the answer?
Answer:
x=15
Step-by-step explanation:
i just know its right
Kirima is building a wall for her snow fort. She first makes a firm base out of snow, and then piles uniformly sized blocks of snow in a
brick-like pattern. She has a maximum height for this wall in mind, and she wants to figure out how many blocks can be stacked vertically
in her wall while remaining below this maximum. So, she constructs the expression 0.6x+0.4 to measure the height of her wall, where all
constants represent measurements in meters. Which of the following statements are true?
Select all that apply.
Answer:
0.4 represents the height of the base.
0.6 represents the height of each block.
Step-by-step explanation:
In this expression the x is the number of blocks which is multiplied with the height of the block and added to the height of the base to get the total height of the wall.
Suppose we have ten blocks so
0.6x+ 0.4 = 0.6(10)+ 0.4= 6+0.4= 6.4
The height of the wall would be 6.4 if there are ten blocks.
The height of the wall depends on the number of blocks used.
The height of the base is constant irrespective of the number of blocks used.
Answer:
0.4 represents the height of the base.
0.6 represents the height of each block.
Step-by-step explanation:
express 12/16 in eighths
Answer:
6/8
Step-by-step explanation:
If we simply 12/16, we need to divide both numerator and demonstrator by 2:
12/2 = 6
16/2 = 8
6/8
Answer:
12/16 = 6/8
Step-by-step explanation:
divide both by 2
Armando wrote the expanded notation for 0.356 as shown below. How can you
rewrite his expanded notation using fractions for the place values?
Answer:
3×1/10 +5×1/100 +6×1/1000
Step-by-step explanation:
You have not shown Armando's work, but we know there are several ways that expanded form can be written:
0.356 = 0.3 + 0.05 + 0.006
= 3×0.1 + 5×0.01 + 6×0.001
= 3×10^-1 + 5×10^-2 + 6×10^-3
When the place values are expressed as fractions, this is ...
= 3×1/10 + 5×1/100 + 6×1/1000
PLZZZ help asap will give the brain and 100 points!!!!! For 2x^2+5=-x, choose the correct substitution for a, b, and c in the standard form of ax^2+bx+c=0. A. a=2,b=1,c=5 B. a=2,b=1,c=-5 C. a=2,b=-1,c=5 D. a=2,b=5,c=-1
Answer:
[tex]\huge \boxed{\mathrm{A.} \ a=2, \ b=1, \ c=5}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
2x² + 5 = -x
The quadratic equation is in the form :
ax² + bx + c = 0
Rewriting the equation by adding x to both sides :
2x² + 1x + 5 = 0
The value of a is 2.
The value of b is 1.
The value of c is 5.
[tex]\rule[225]{225}{2}[/tex]
it’s kinda urgent lol
Answer:
60m²
Step-by-step explanation:
my dude you need to know this. A=bh. A=10(6).
60m good luck </3 hghjghghhujg
WILL GIVE BRAINLIEST!!!!!!!!!
Explain how you find the scale factor using 2-3 sentences or showing each step. Explain using the ratio of the image length to the pre-image length.
Answer:
2
Step-by-step explanation:
The scale factor can be determined by simplifying the ratio of the corresponding length of the preimage to that of the image.
The preimage is the smaller shape shown, while the image is the lager shape shown.
Any side length can be used.
Thus, length of one side of the preimage, AD = 4 - 1 = 3 units
AD corresponds to side length A'D' if the image = 7 - 1 = 6 units
The ratio of the image length to the ratio of the preimage length = the scale factor
Thus:
6 : 3 = [tex] \frac{6}{3} = 2 [/tex].
The scale factor is 2.
while on a beach vacation,Tasha makes a scale drawing of point of interest between two piers.On her drawing 2 cm represent 0.5ml. The piers are 12cm apart on tasha's drawing.What is the actual distance, in miles between the two piers?
Answer:
3ml
Step-by-step explanation:
while on a beach vacation,Tasha makes a scale drawing of point of interest between two piers.
Given that On her drawing,
2 cm represent 0.5ml.
The piers are 12cm apart on tasha's drawing.
To calculate the actual distance, in miles between the two piers, first divide the 12cm by 2 cm
12/2 = 6 cm
Multiply the answer by 0.5
6 × 0.5 = 3ml
Therefore, the actual distance, in miles between the two piers is 3ml.
What is the circumference of a the circle? D = 14 cm
Round your answer to 2 decimal places.
Answer:
Hey there!
Circumfrence = 3.14d
Circumfrence = 3.14(14), or 43.96
Hope this helps :)
Mr Chong intends to purchase a few chickens, rabbits and ducks for his farm. The total numbers of animal is 50. He has RM1500 to be spent. A chicken costs RM20, A rabbit RM50 and a duck RM30. The number of chickens is equal to the number of ducks. How many of each animals should Mr Chong purchase? Write a system of linear equations to solve this problem.
Answer:
20 chickens, 10 rabbits and 20 ducks
Step-by-step explanation:
Let chickens be c, rabbits be r, ducks be d
Chicken cost = RM20Rabbit cost = RM50Duck cost = RM30As per given we get below equations:
c + r + d = 50c = d20c + 50r + 30d = 1500Substitute d:
c + r + c= 50 ⇒ 2c + r = 50 20c + 50r + 30c = 1500 ⇒ 50c + 50r = 1500 ⇒ c + r = 30Subtract the second equation from the first one:
c = 20Then:
r = 10d = 20So animals bought:
20 chickens, 10 rabbits and 20 ducks3) find different solution
of equation 3x+5=0
Answer:
x=3/5
Step-by-step explanation:
3x+5=0
3x=-5
x=-5/3
Answer:
x = 5/3
Step-by-step explanation:
Given equation: 3x-5 = 0
Add both sides by 5, we get
= 3x - 5 + 5 = 0 + 5
= 3x = 5
Divide both sides by 3, we get
3x/3 = 5/3
or, 3x = 5
so, x = 5/3
What exactly am I doing wrong with the first one I’m doing the order of operation and I can get the second one no issues I can’t seem to figure out how to do the first one tho
Answer:
36
Step-by-step explanation:
(4+2)²
4+2=6
6²=36
Answer:
36
Step-by-step explanation:
So we have the expression:
[tex](4+2)^2[/tex]
Order of operations says: 1) Parentheses, 2) Exponents, 3) Multiplication/Division and 4) Addition/Subtraction.
So, add within the parentheses first:
[tex](4+2)^2\\=(6)^2[/tex]
Now square:
[tex]=36[/tex]
So our answer is 36.
Also, note that you apparently used the distribute property. The distribute property does not work with addition and exponents:
[tex](4+2)^2\neq4^2+2^2[/tex]
You cannot do this. This isn't correct. Instead, you must first add and then square.
A preschool has a student to teacher ratio of 5:2. Yesterday, the total number of students was 55, how many teachers are at the preschool?
MATH ALG II! Need help quick! Will mark brainliest!
Answer: D
Step-by-step explanation:
because yes i solved it
Water flows through a pipe at a rate of 9 gallons every 8 minutes. Express this rate of flow in fluid ounces per hour.
Answer:
[tex]Rate = 8640 fl\ oz/hour[/tex]
Step-by-step explanation:
Given
Rate: 9 gallon in every 8 minutes
Required
Express in fluid ounces per hour
Express rate as follows;
[tex]Rate = \frac{9\ gallon}{8\ minutes}[/tex]
1 gallon = 128 fluid ounces;
So:
[tex]Rate = \frac{9 * 128 fl\ oz}{8\ minutes}[/tex]
1 minutes = 1/60 hour;
So:
[tex]Rate = \frac{9 * 128 fl\ oz}{8 * \frac{1}{60} hour}[/tex]
[tex]Rate = \frac{1152 fl\ oz}{ \frac{8}{60} hour}[/tex]
[tex]Rate = 1152\ fl\ oz/ \frac{8}{60}\ hour[/tex]
[tex]Rate = 1152* \frac{60}{8}\ fl\ oz/hour[/tex]
[tex]Rate = \frac{1152*60}{8}\ fl\ oz/hour[/tex]
[tex]Rate = \frac{69120}{8}\ fl\ oz/hour[/tex]
[tex]Rate = 8640 fl\ oz/hour[/tex]
Find the zeros of the function. Enter the solutions from least to greatest. f(x) = (x + 2)^2 - 64
Answer:
-10,6
Step-by-step explanation:
f(x) = (x + 2)^2 - 64
Set equal to zero
0 = (x + 2)^2 - 64
Add 64 to each side
64 = (x + 2)^2
Take the square root of each side
±sqrt(64) = sqrt((x + 2)^2 )
±8 = x+2
Subtract 2 from each side
±8-2 = x
-8-2 =x
8-2 = x
-10,6
Combine the like terms to create an equivalent expression: 2s+(-4s)
Answer:
-2s
Step-by-step explanation:
2s+(-4s)
2s-4s
-2s
Hope this helps ;) ❤❤❤
2) You work in the tech field. Your boss has asked that you and your team design a new style phone with a 7" screen display. What are the dimensions of the phone if the aspect ratio is 16:9?
Answer:
dimensions of the phone are 7 inches x 12.44 inches
Step-by-step explanation:
The formula for the aspect ratio of a display device is a proportional relationship between the width and the height of the display.
That is;
Aspect ratio = height/width
Now, we are given;
Aspect ratio = 16:9 or 16/9
Width = 7" = 177.8 mm
Thus;
16/9 = height/177.8
Multiply both sides by 177.8 to give;
Height = (16 × 177.8)/9
Height = 316.089 mm
Converting 316.089 mm to inches gives us 12.44 inches.
Thus, dimensions of the phone are 7 inches x 12.44 inches
Find the sum.
185
+ 66
Answer:
251
Step-by-step explanation:
Alicia is thinking of a number for her friends to guess. She tells them the number is the least common multiple of 3 and 7. Which number is Alicia thinking of?
Answer:
21
Step-by-step explanation:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, ...
We see that the first number that is a multiple of both 3 and 7 is 21.
eight hundred and five thousandths decimal
A group of pirates found Treasure worth $540 the pirate the 4 Pirates each get to take the same amount of treasure home for the night. How much treasure did each pirate get to take
Answer:
$135
Step-by-step explanation: