Answer:
Your answer is 65
Step-by-step explanation:
f(x) = x² - 4x - 12
f(-7) = (-7)² - 4 x (-7) - 12
= 49 - (-28) - 12
= 49 + 28 - 12
= 77 - 12
= 65
a swimming pool is 20m wide and has a diagonal length of 52m. how much shorter is it than a 50m long pool?
(8.41 x 10^-5) - (7.9 x 10^-6)
Answer:
7.62×10^-5
Step-by-step explanation:
Answer: 0.000076
Step-by-step explanation:
8.41(10^-5) - 7.9(10^10-6)
= 8.41 (1/100000) - 7.9(10^-6)
= 0.000084 - 7.9(10^-6)
= 0.000084 - 7.9(1/000000)
= 0.000084 - 0.000008
= 0.000076
5. the distance between k(1,-5) and a point l with integer coordinates is v10 units.
find all possible coordinates of point l.
The possible coordinates of point l are (7,3),(7,-13),(-5,3),(-5,-13),(9,1),(9,-11),(-7,1), and (-7,-11).
Given that:-
Coordinates of k = (1,-5)
Distance between point k and point l = 10 units.
We have to find the coordinates of point l.
Let the coordinates of point l be (x,y).
By using distance formula, we can write:-
[tex]\sqrt{(x-1)^2+(y+5)^2} =10[/tex]
Squaring on both sides, we get:-
[tex](x-1)^2+(y+5)^2=100[/tex]
For, integer coordinates, the possibilities are 36+ 64 or 64+36.
Hence, we can write,
[tex](x-1)^2+(y+5)^2 = 36 + 64 \\or\\(x-1)^2+(y+5)^2 = 64 + 36[/tex]
Hence,
[tex](x-1)^2 = 36[/tex]
x - 1 = 6 or x -1 = -6
x = 7 , -5
[tex](y+5)^2 =64[/tex]
y + 5 = 8 or y + 5 = -8
y = 3,-13
or
[tex](x-1)^2=64[/tex]
x - 1 = 8 or x - 1 = -8
x = 9,-7
[tex](y+5)^2[/tex]
y + 5 = 6 or y + 5 = -6
y = 1,-11
Hence, the possible values of coordinates of point l are (7,3),(7,-13),(-5,3),(-5,-13),(9,1),(9,-11),(-7,1), and (-7,-11).
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1.) If 2/5 of x is 20 what is 3/10 of x?
2.) if 2/3 of y is 24 what is 5/6 of y?
Answer:
1. 15 2. 30
Step-by-step explanation:
1. (2/5)x = 20
20/(2/5) = x
x = 50
50 × (3/10) = 15
2. (2/3)y = 24
24/(2/3) = y
y = 36
36 × (5/6) = 30
f(m) = 3m^2 - 5
find (-2)
Answer:
f(- 2) = 7
Step-by-step explanation:
assuming you mean find f(- 2)
substitute x = - 2 into f(m)
f(- 2) = 3(- 2)² - 5 = 3(4) - 5 = 12 - 5 = 7
Answer:
7
Step-by-step explanation:
Plug in -2 for m:
f(m)=3(-2)^2-5
Simplify:
(-2)^2 or (-2)(-2)=4
f(m)=3(4)-5
3x4=12
f(m)=12-5
f(m)=7
If the sum of squares for a sample containing 101 items equals 500, what is the standard deviation? 5.00 4.95 2.24 2.22
The standard deviation is 2.24 if the sum of squares for a sample containing 101 items equals 500 option (C) is correct.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{n-1}[/tex]
SD is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
∑(x(i) - X)² = 500
n = 101
SD = √(500/101-1)
SD = √5
SD = 2.236 ≈ 2.24
Thus, the standard deviation is 2.24 if the sum of squares for a sample containing 101 items equals 500 option (C) is correct.
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Subtract:
-2 - 6 =
Submit
A
I need someone to fill in the blanks and and answer the other questions.
1) This is an arithmetic sequence and the complete sequence is;
5, 10, 15, 0, 25, 30, 35,....
2)This is a geometric sequence and the complete sequence is given as;
20, 10, 5, 2.5, 1.25, .....
3) This is an arithmetic sequence and the complete sequence is given as; 2, 5, 8, 11, 14, 17, .....
4) This is an arithmetic sequence and the complete sequence is given as; 30, 24, 18, 12, 6,.....
How to find the sequence terms?1) The sequence is given as;
5, 10, 15, ___, 25, 30, _____
This is an arithmetic sequence with the formula;
a_n = 5 + (n - 1)d
In this case, the common difference is;
d = 10 - 5 = 5
The complete sequence is;
5, 10, 15, 0, 25, 30, 35,....
2)The sequence is given as;
20, 10, ___, 2.5, _____, .....
This is an geometric sequence with the formula;
a_n = 20r^(n - 1)
In this case, the common ratio is;
r = 10/20 = 1/2
The complete sequence is given as;
20, 10, 5, 2.5, 1.25, .....
3)The sequence is given as;
2, 5, 8, ___, 14, _____, .....
This is an arithmetic sequence with the formula;
a_n = 2(n - 1)d
In this case, the common difference is;
d = 5 - 2 = 3
The complete sequence is given as;
2, 5, 8, 11, 14, 17, .....
4) The sequence is given as;
30, 24, ___, 12, 6,.....
This is an arithmetic sequence with the formula;
a_n = 30(n - 1)d
In this case, the common difference is;
d = 24 - 30 = -6
The complete sequence is given as;
30, 24, 18, 12, 6,.....
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Enjoys town about 33 out of 100 cats are black if joe walks by 21 cats in one week predict how many of those cats are black
If joe walks by 21 cats in one week then 7 cats are black.
Percentage can be defined as a ratio that is expressed as fraction of 100.
For Example , 1%= 1/100
Given that Joe's town there are 33 black cats
Total cats = 100.
The percentage of black cats in town =[tex]\frac{33}{100}[/tex]=33%
Number of cats joe sees in a week =21
Number of black cats joe sees in a week will be = 33% of 21
[tex]=21*\frac{33}{100} \\ \\ =\frac{693}{100} \\ \\ =6.93\\ \\[/tex]= approx. 7
Therefore , If joe walks by 21 cats in one week then 7 cats are black.
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please help me im begging ANYONE
Answer:
B
Step-by-step explanation:
Answer B is the result of simplifying
Bonnie made 7 pies. there were 6 slices in each apple pie and 7 slices in each peach pie. if bonnie made 44 slices of pie in total, how many of each pie did she make?
She make 5 apple pie and 2 peach pie.
In the given statement is:
Bonnie made 7 pies. there were 6 slices in each apple pie and 7 slices in each peach pie. if Bonnie made 44 slices of pie in total.
To find the how many of each pie did she make
Now, According to the question :
Let start the solution
Total number of slices made by Bonnie is 44
Let Number of apple pies be x
and, number of peach pies is (7 - x) ............(1)
Pieces of an apple pie is 6x
Pieces of peach pie = 7 (7 - x)
Calculation
6x + 7(7 - x) = 44
6x + 49 -7x = 44
-x = 44 - 49
-x = -5
x = 5
Put the value of x in equation (1)
7 - x = 7 - 5 = 2
She make 5 apple pie and 2 peach pie.
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help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help
Answer:
1. -10x+36
2. 24x+121
3. 2x-8xy+32y
4. 50x-10xy+y^2
Step-by-step explanation:
i think dis right
Answer:
see explanation
Step-by-step explanation:
using the following expansions
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²
1
x² - 12x + 36
with a = x and b = 6 , then
x² - 12x + 36 = x² - 2(x)(6) + 6² = (x - 6)²
2
x² + 22x + 121
with a = x and b = 11 , then
x² + 22x + 121 = x² + 2(x)(11) + 11² = (x + 11)²
3
x² - 8xy + 16y²
with a = x and b = 4y , then
x² - 8xy + 16y² = x² - 2(x)(4y) + 16y² = (x - 4y)²
4
25x² - 10xy + y²
with a = 5x and b = y , then
25x² - 10xy + y² = 25x² - 2(5x)(y) + y² = (5x - y)²
Which equation represents the relation that is shown in the graph?
Cost of Buying Comic Books
On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).
y = 7/2x represents the relation that is shown in the graph.
Here the line goes through points (0, 0), (1, 3.5), (2, 7).
This means that these points must satisfy the equation of the line.
Let us, check each equation one by one
A. y = x + 2/7
Here if we take x = 0,
y = 0 + 2/7
y = 2/7
Thus, (0,0) does not satisfy and hence, we eliminate this option.
B. y = x + 7/2
Here if x = 0
y = 7/2
Thus, again (0,0) does not satisfy and hence, we eliminate this option.
C. y = 2/7 x
Here, if x = 0
y = 0
Hence, (0,0) satisfies.
if x = 1
y = 2/7
or y = 0.28
Thus, (1, 1.35) does not satisfy and hence, we eliminate this option.
D. y = 7/2x
Here, if x = 0
y = 0
Hence, (0,0) satisfies.
if x = 1
y = 7/2
or y = 3.5
Hence, (1, 1.35) satisfies.
if x = 2
y = (7/2)(2)
y = 7
Hence, (2, 7) also satisfies.
Thus, y = 7/2x represents the relation that is shown in the graph.
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Your question was incomplete. Check for full content below-
Which equation represents the relation that is shown in the graph?
Cost of Buying Comic Books. On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).
y = x + 2/7
y = x + 7/2
y = 2/7 x
y = 7/2x
can someone solve this please, thank you
Answer:KIH=18
Step-by-step explanation:
4x+3+4x+3=12x
X=1.5
4(1.5)+3=9
4(1.5)+3=9
12(1.5)=18
50 < = x >= 1000 inequality
The solution to the given inequality is x≥50.
The given inequality is 50≤x≥1000.
What is inequality?Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Now,
Move all terms not containing x from the centre section of the inequality.
Inequality Form: x≥50
Interval Notation: [50,∞)
The solution to the inequality is marked on the number line.
Therefore, the solution to the given inequality is x≥50.
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The solution set of x^2+12=21
The solution set of the equation is: x = -3, x = 3.
How to Find the Solutions to an Equation?Given the equation, x² + 12 = 21, the solution set is the possible value of x that will make the equation true. To find the values of x, do the following as shown below:
x² + 12 = 21
Subtract 21 from both sides of the equation
x² + 12 - 21 = 21 - 21
x² + 12 - 21 = 0
x² - 9 = 0
Find the difference of the two squares
(x + 3)(x - 3) = 0
x = -3
x = 3
Therefore, the solution set of the equation is: x = -3, x = 3.
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surface area of composite figures
Answer:
mark me brainliest hope your day goes wellStep-by-step explanation:
The area of the composite figures is the area of one or more simple polygons and circles combined. We can add the areas of all the basic figures together to calculate the area of the composite figures. Find the area of each shape and add them together to find the area of the composite figure.Answer:
The surface area is the sum of all the faces (or surfaces) of a 3D shape. Composite figures are 2 figures put together. (There is an example of a composite figure below) You find an area of both shapes and then add them together, to find the area of the full figure.
Step-by-step explanation:
Evaluate the function when x= -4, -2, -1, 1/2, and 2
, and 2.
g(x) =
-x+4, if x < -1
3,
if -1
-2x5, if x ≥ 2
When x = -4, f(x) = ¯
When x = -2, f(x) =
The values of the functions are:
a. When x =-4 then f(x) = -x+4
b. When x = -2 then f(x) = -x+4
c. When x = -1 then f(x) = -x+4
d. When x=1/2 then f(x) = 3
e. When x = 2 then f(x) = 2x-5
Given, g(x) = {-x+4 , if x≤-1
3 , if -1≤x<2
2x-5, if x≥2 }
a. when x = -4, f(x) = ?
-4 comes under the condition x≤-1.
therefore, when x=-4 ⇒ f(x) = -x+4
f(-4) = -4+4 = 0
b. when x=-2, f(x)= ?
Again -2 comes under the condition if x≤-1
therefore when x=-2 ⇒ f(x) = -x+4
f(-2) = -2+4 = 2
c. when x=-1, f(x) = ?
-1 comes under the condition if x≤-1
therefore, when x=-1 then f(x) = -x+4
f(-1) = -1+4 = 3
d. when x=1/2 , f(x) = ?
1/2 comes under the condition, if -1≤x<2
therefore, when x=1/2 then f(x) = 3.
e. when x=2, f(x) = ?
2 comes under the condition, if x≥2
therefore, when x=2 then f(x)= 2x-5.
hence we get the required results of the given functions.
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Regular insulin is ordered iv at 7 units/hour. the iv bag contains 100 units of regular insulin in 100ml of d5w. the iv rate should be how many ml/hr? (round to the nearest whole number
The iv (insulin rate) rate should be 7 ml/hr.
Here,
Regular insulin is ordered iv at 7 units/hour.
The iv bag contains 100 units of regular insulin in 100ml of d5w.
We have to find the iv rate.
What is insulin rate?
Basal insulin rate is the rate at which an insulin pump provides small, “background” doses of fast-acting insulin.
Now,
Regular insulin is ordered iv at 7 units/hour.
The iv bag contains 100 units of regular insulin in 100ml of d5w.
The insulin rate in ml/hr = ( 7 units / 1 hr ) * (100 ml / 100 units) = 7 ml/hr
So, The iv (insulin rate) rate should be 7 ml/hr.
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What is the area of the semicircle? Use 3.14 for pi. 22cm
hi
area of circle is π* radius²
as radius is half diameter, and as diameter is 22 , so radius is 22 /2 = 11 cm
so area is 11²π and 11² = 121 then area is 121π
as it is say to use 3.14 for pi , then 121*3.14 = 379.94
but 379.94 is the area of the whole circle , and we only have half.
so : 379.94 / 2 = 189.97
area of semi circle is 189.97
Cross braces help keep the deck posts straight. Find the measure of each angle.
Angle 5 = 180 - 146 = 34
Angle 6 = 146 since vertical angles are congruent
Angle 7 = 34 since vertical angles are congruent, or you could say 180-146 = 34 again. Any pair of adjacent angles add to 180. All four angles add to 360.
Directions: Determine whether each relation is a function. Explain your answer.
Just need 16-18
From the rule for when a relation represents a function, we have that:
16) Is not a function.
17) Is a function.
18) Is not a function.
When does a relation represents a function?A relation represents a function when each value of the input is mapped to only one value of the output.
For this problem, we have that:
In item 16, input 5 is mapped to outputs 2 and 4, hence it is not a function.In item 17, each input is mapped to only one output, hence it is a function.In item 18, input -2 is mapped to outputs 13 and 15, hence it is not a function.More can be learned about relations and functions at https://brainly.com/question/12463448
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MATHMATICAL CONNECTIONS (IM2) : Write a polynomial that represents the area of the square
[see image]
Answer:
[tex]49n^2-70n+25[/tex]
Step-by-step explanation:
Since one side of the square is (7n-5), the area of the square must be [tex](7n-5)^2[/tex]. Simplifying we get [tex]49n^2-70n+25[/tex].
graph the line y=-1/3+3
Can you determine any purpose why these concepts are present in the pictures?
The purpose why these concepts are present in the pictures is to develop imagination power among students.
As you imagine more, your mind becomes stronger and you have greater mental control. Innovation requires a strong imagination. If you succeed in what you set out to do, the same individuals who now accuse you of daydreaming will begin to aspire to be like you. Keep your aspirations high and your imagination expanding.
Imagination is a potent brain stimulant because it forces you to think differently than most people do. Your imagination can help you come up with scenarios that most effectively handle difficulties, even though your brain might classify them as being unexpected.
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please help (clearer photo)
Step-by-step explanation:
2a: Domain [3,7] Range: [1,5]
2b: domain: (-infinity, 1] Range: All real numbers
2c: domain [-3, 6] range [-4,2]
2d: (-infinity,-2] U (2, infinity] range: [0, infinity)
2e domain is [0, infinity) range is all real numbers
what is 3000 divided by 40 with long division??
3000 ÷ 40 =
75 ⇐ Quotient
――――
40)3000 ⇐ Dividend
280
---
200
200
3000 divided by 40 is equal to quotient of 75 with no remainder.
To perform long division for 3000 divided by 40, Set up the long division format.
Determine how many times 40 can go into the leftmost digit of 3000 (which is 3).
The answer is 75. Write 75 on top of the division bar.
Now, subtract 3000 - 3000 to get the remainder.
The remainder is 0.
Hence, 3000 divided by 40 is equal to 75.
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Solve the equation. b+9=13 Enter the solution for the variable b in the box. b =
Answer: I think its 4
Step-by-step explanation: because 4+9=13
Evaluate the following expressions, assume the following declarations: int x = 4; int y = 9 / 2; int num = 6; num *= x y; what is the value of the num after expression is evaluated?
The value of the num will be 18 after the expression is evaluated.
What is an expression?Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that int x = 4; int y = 9 / 2; int num = 6; num *= x y; the value of num after the evaluation of the expression will be:-
num = x y
num = [ ( 4 x ( 9 / 2 ) ]
num = 9 x 2
num = 18
Therefore, the value of the num will be 18 after the expression is evaluated.
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el precio de un terreno rectangular es $8736. si su largo es 17,50 m y su ancho, 15,60 m , halla el precio del metro cuadrado...
El precio unitario del terreno rectangular es $ 32 por cada metro cuadrado.
¿Cómo determinar el precio por cada metro cuadrado?
Tenemos un terreno rectangular con dimensiones y costo total conocido. El área de un rectángulo (A), en metros cuadrados, es igual al producto de su largura (l), en metros, y su anchura (a), en metros, cuya fórmula se presenta a continuación:
A = a · l
El precio del metro cuadrado se obtiene dividiendo el precio del terreno por su área:
A = (17.50 m) · (15.60 m)
A = 273 m²
c = C / A
c = 8736 / 273
c = $ 32 / m²
El precio unitario del terreno rectangular es $ 32 por cada metro cuadrado.
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