Step-by-step explanation:
[tex]\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}[/tex]
Used:[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]
Evaluate the step function for the given input values.
-4, -35 x < -1
-1, -1sx<2
g(x) =
3, 25x< 4
5, x 24
9(2) =
g(-2) =
g(5) =
Answer:
I would, but the way this is set up is VERY confusing. sorry. maybe try to fix it after copying and pasting to make sure it makes sense.
The evaluated values of the step function for the given input values are as g(-2) = -4, g(2) = 3, and g(5) = 5.
To evaluate the step function g(x) for the given input values, we need to follow the conditions specified for each interval.
Given the step function:
g(x) =
-4, x < -1
-1, -1 ≤ x < 2
3, 2 ≤ x < 4
5, x ≥ 4
Let's evaluate the step function for each input:
g(-2):
Since -2 is less than -1, the condition for the first interval is satisfied. Therefore, g(-2) = -4.
g(2):
Since 2 is less than or equal to 4, the condition for the second interval is satisfied. Therefore, g(2) = 3.
g(5):
Since 5 is greater than or equal to 4, the condition for the last interval is satisfied. Therefore, g(5) = 5.
Hence, we have:
g(-2) = -4
g(2) = 3
g(5) = 5
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CAN SOMEONE PLEASE HELP ME WITH THIS please please help me with this please please
Answer:
Congruent
3x= 360 I believe if this is the outside of the triangle?
x= 120
Step-by-step explanation:
brainliest
Answer:
1. Congruent
2. 3x= 360
3. x= 120
Step-by-step explanation:
La suma de un número natural y su cuadrado es de 72. Encuentra el número del que se trata.
Answer:
8
Step-by-step explanation:
Sea el número x El cuadrado será x ^ 2
Entonces la suma será; x ^ 2 + x = 72 x ^ 2 + x-72 = 0
x ^ 2 + 9x-8x-72 = 0
x (x + 9) -8 (x + 9) = 0
(x + 9) (x-8) x = 8 o -9
Como solo estamos considerando números naturales, la respuesta correcta es 8
Jack’s car used 18 gallons of gasoline to go 468 miles. At that rate, how many gallons would be used to go 754 miles? Explain how you know.
Answer:
29 gallons.
Step-by-step explanation:
For every gallon, a total number of 468/18 miles = 26 miles could be travelled.
And hence, to travel 754 miles, a total of 754/26 gallons = 29 gallons would be needed.
Hope this helped!
PLS HELP ASAP
What is the value of X?
The answer is 8 but I need to show the work pls help
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up Equation
(7x - 1) + 80 + (6x - 3) = 180
Step 2: Solve for x
Combine like terms: 13x + 76 = 180Isolate x term: 13x = 104Isolate x: x = 8Answer: x = 8
Step-by-step explanation:
Hoped this helped
Mrs. Hidalgo paid $30 for 4 students to visit an art museum. Find the cost for 20 students.
Answer:
The cost for 20 students would be $120
Step-by-step explanation:
We know that 4x5=20 therefore we will multiply 30x4 which will give us 120.
Our final answer would be $120
The Jackson's dinner cost $125. They left $21.25 as a tip. What was the percentage of the tip? Please explain and help me! THANK YOU!!!
Answer:
17%
Step-by-step explanation:
to find the percentage of something, you have to fill out the following formula:
x/100 = 21.25/125. Basically that is saying that some percent out of 100 is equal to 21.25 out of 125. To solve that, you have to cross multiply:
125x = 2125
then you have to divide, to single out x:
the answer is 17
so it is 17%
What is the slope of AB?
Answer: -2/3
Step-by-step explanation:
If you want to find the slope of something, the quick way is to use [tex]\frac{rise}{run}[/tex].
In this situation, the “rise” (change in y axis) is -2 because it’s going down and the “run” (change in x axis) is 3. Therefore, it’s -2/3.
The formula to find slope is:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
(I think, if I memorized it correctly)
5 divide by 8 plus 9
Answer:
9.625
5 divided by 8= 0.625 + 9 = 9.625
Step-by-step explanation:
Answer:
9.625
Step-by-step explanation:
5/8=0.625, than add 9 to it, and have 9.625
Someone help me with this pleaseeeeee
Answer:8 an 40 an 2
Step-by-step explanation:
Use the geometric mean (altitude) theorem. What is the
value of m?
4
2 √7
4 √10
160
Answer:4 10
Step-by-step explanation:
Answer:4 √10
Step-by-step explanation:
edgy
help me plssssssssssssss
Answer:
D
Step-by-step explanation:
3/4 × 2/6 = 1/4
3/4÷6/2=1/4
Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this
information, which representation best shows this relationship between the number of toys
Rudolfo has in his toy box, y, and the number of months that have passed, x?
Answer:
G
Step-by-step explanation:
(x)0 months: (y)15 toys, 1:17, 2:19, 3:21, 4:23, 5:25, 6:27, 7:29, 8:31, etc.
The equation that represents best shows this relationship between the number of toys Rudolfo has will be y = 2x + 15. Then the correct option is G.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month.
Let x be the number of months and y be the total number of toys. Then the equation is given as,
y = 2x + 15
The equation that represents best shows this relationship between the number of toys Rudolfo has will be y = 2x + 15. Then the correct option is G.
More about the linear equation link is given below.
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find the domain of the graphed function
Answer:2 < x < 5
Step-by-step explanation:
I should look like this but with lines under the less than symbol
The domain of the graphed function is x ∈ (2,5), which is defined in the interval 2 < x < 5.
If the parent function is y = x² and it is defined in the x-coordinate interval 2 < x < 5, the domain of the graphed function would be the same interval, namely 2 < x < 5.
The domain of a function represents the set of all possible input values (x-values) for which the function is defined.
Here, since the parent function y = x² is defined for all real numbers, the domain of the graphed function will also be all real numbers within the specified interval, which is 2 < x < 5.
Thus, the domain of the graphed function is x ∈ (2,5).
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what is the value of (-0.7)(6.0)
Answer: Look below
Step-by-step explanation: its not letting me put the answer in its said its i
What is the length of BC?
Enter your answer in the box.
Answer:
Line BC = 17
Step-by-step explanation:
Since Angle B and Angel C are congruent, the opposite lines are also congruent. (line CA is congruent to line BA)
Therefore:
x+9 = 2x -8
17 = x
x = Line BC
Line BC = 17
3 + 5p − 12 = 2p + 12
Answer:
p=7
Step-by-step explanation:
Let's solve your equation step-by-step.
3+5p−12=2p+12
Step 1: Simplify both sides of the equation.
3+5p−12=2p+12
3+5p+−12=2p+12
(5p)+(3+−12)=2p+12(Combine Like Terms)
5p+−9=2p+12
5p−9=2p+12
Step 2: Subtract 2p from both sides.
5p−9−2p=2p+12−2p
3p−9=12
Step 3: Add 9 to both sides.
3p−9+9=12+9
3p=21
Step 4: Divide both sides by 3.
3p
3
=
21
3
p=7
Hope this helps have an amazing day!!
A cone had a height of 16 inches and a radius of 14 inches . If pi is 3.14 what is the volume ?
Answer:
3284.01, brainliest if correct pls
Step-by-step explanation:
Answer:
3282 cubic inches.
Step-by-step explanation: Just times 14 times 14 since its in radius form then times by 16 then by 3.14 last divide by 3.
Use inductive reasoning to predict the most probable next number in each list.
6, 9, 15, 24, 36, 51, ?
Answer:
69
Step-by-step explanation:
The numbers increase by 3 more than the previous amount increased by.
6 +3 9 +6 15 +9 24 +12 36 +15 51 +18 69
The following is an example of what type of sequence? 3, 11, 19, 27, 35...
a geometric
C. ratio
b. arithmetic
ddifference
B....................
Answer:
b. Arithmetic .
Step-by-step explanation:
b because to get the next term you add 8.
For the picture I think you can zoom in to see it more clearly.
Answer:
y=15x
Step-by-step explanation:
YEPP PRETTY CONFIDENT IN THE ANSWER
9514 1404 393
Answer:
s = 15w
Step-by-step explanation:
The problem statement tells you the dependent variable is s, and the independent variable is w. Unfortunately, the graph axes are labeled y and x instead of s and w. The line on the graph has a "y-intercept" of 0 and a rise/run of 30/2 = 15.
The equation asked for is ...
s = 15w
Frank went to the store and bought water, juice, and soda for everybody. Write an expression to show the total amount of beverages he bought. (Use w for water, j for juice, and s for soda.)
please help! id give you master brainlist.
Answer:
w + j + s = total amount of beverages
Step-by-step explanation:
If someone could answer this, that'd be great!
(359x+1000)-(175x+.50m+62.36)
fill in the blanks
50 = __ 9 + __
Answer:
49 +1 =50 is the answer you are looking for
Which of the following events is impossible?
Spinning a number that is neither odd nor even.
Spinning an odd number.
Spinning a number greater than 1.
Spinning a number less than 1.
Answer: number 4
Step-by-step explanation:
Answer:
Spinning a number that is neither odd nor even.
Step-by-step explanation:
Every number is either odd or even
Create an expression that would represent the area of a triangle.
Answer:
a = 1/2 (15 *5)
Step-by-step explanation:
a = 1/2 (b * h)
1/2 (15 *5)
Answer:
1/2 (15x5)
Step-by-step explanation:
Area = 1/2bh
Okay so how would you simplify 6/7 divided by 1/2 to show work?
Answer:
1 5/7
Step-by-step explanation:
well lets show you!!
6/7 ÷ 1/2 = (Always flip the fraction on the right side) 6/7 x 2= 12/7 = 1 5/7
Hope this helps ∞<3
how do we find the value of y when x = 0
Answer:
both variables are just 0-
Ms. Davis counts 12 large boxes and 18 small boxes of pencils in the supply cabinet. Each large box contains 144 pencils. Each small box contains 24 pencils. Estimate the number of pencils. Is your estimate an underestimate or an overestimate? The find the exact answer.
Answer:
Estimated amount of pencils = 2040 pencils
Exact amount of pencils = 2160 pencils
Step-by-step explanation:
Estimated amount of pencils are calculated by:
rounding up the numbers to the nearest tens
large box= 144 pencils = 140 pencils
small box = 24 pencils = 20 pencils
Estimated number of pencils =
(12 × 140) + (18 × 20)
= 1680 + 360
= 2040 pencils
This is an underestimate
The exact number of pencils is calculated as:
(12 × 144 pencils ) + (18 × 24 pencils)
= 1728 pencils + 432
= 2160 pencils
An item on the sale rack at a local supermarket was marked $3.42. The original price of the item was $4.75.
What was the percent of the discount?
Answer:
$475
Step-by-step explanation:
The percentage of discount of the item is 72 %
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the percentage of discount in the price be = A
The marked price of an item at the supermarket = $ 3.42
The original price of an item at the supermarket = $ 4.75
Now , the equation will be
The percentage decrease = ( marked price of an item at the supermarket / original price of an item at the supermarket ) x 100
Substituting the values in the equation , we get
The percentage decrease A = ( 3.42 / 4.75 ) x 100
The percentage decrease A = 0.72 x 100
The percentage decrease A = 72 %
Therefore , the value of A is 72 % and the percentage of discount is 72 %
Hence , The percentage of discount of the item is 72 %
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