The evaluation of the expression 2ˣ - x² when x = 5 is 7
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: 2^x- x^2
Value x = 5
Rewrite the expression as
Expression: 2ˣ - x²
Substitute the known values in the above equation, so, we have the following representation
2ˣ - x² = 2⁵ - 5²
When the exponents are evaluated. we have
2ˣ - x² = 32 - 25
Evaluate the like terms in the equation
So, we have the following representation
2ˣ - x² = 7
Using the above as a guide, we have the following:
The solution is 7
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#11 Please answer the question
Answer:
134
Step-by-step explanation:
What are the different types of time complexity analysis available?
There are five different types of Time complexity analysis:
Constant Time ComplexityLogarithmic Time Complexity Linear Time Complexity O(n log n) Time ComplexityQuadratic Time ComplexityWhat is Time complexity?
The computational complexity that describes the amount of computer time required to run an algorithm is known as time complexity in computer science. The time complexity of an algorithm is commonly estimated by counting the number of elementary operations performed by the algorithm, assuming that each elementary operation takes a fixed amount of time to perform.
As a result, the time required and the number of elementary operations performed by the algorithm are assumed to be proportional. Because the running time of an algorithm varies among different inputs of the same size, the worst-case time complexity, which is the maximum amount of time required for inputs of a given size, is commonly considered.
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Mental Math Using the slope formula, find the slope of the line through the points (0,0) and (5,15). Use pencil and paper. Explain how you can use mental math
slope of the line.
The slope of the line is (Type an integer or a simplified fraction.)
Help me solve this
View on
Answer: m=3
Step-by-step explanation:
The strategy to finding the slope is the use the slope formula, which Is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Since we are given a point, we can directly plug them in and solve.
[tex]m=\frac{15-0}{5-0} =\frac{15}{5}=3[/tex]
The way we can use mental math is mainly because we are given the origin. We know that anything subtracted by 0 is itself. With the formula, the subtraction gives us 15 and 5. With basic division, we know that 15/5=3.
In the past year omar watched 39 movies that he thought were very good he watched 60 movies over the whole year of the movies he watched what percentage did he rate as very good
Answer:
65%
Step-by-step explanation:
39/60 X 100
(39 being the number of movies he rated very good, divided by the total number of movies he watched which is 60)
A street sign is 14 inches long. A scale drawing of the sign is 5 inches long. What is the scale factor
Answer:
5/14
Step-by-step explanation:
A street sign is 14 inches long. A scale drawing of the sign is 5 inches long. What is the scale factor
Scale factor is calculated as:
Scale drawing/Street sign
= 5 inches/14 inches
= 5/14
Therefore, the scale factor 5/14
What is the volume of the sphere rounded to the nearest whole number if the radius is 3.63 inches?
Answer: 200inches³
Step-by-step explanation:
The volume of a sphere can be gotten by using the formula:
V = 4/3 πr³
where,
π = 3.142
r = radius = 3.63 inches
Volume = 4/3πr³
= 4/3 × 3.142 × 3.63³
= 4/3 × 3.142 × 47.832147
= 200.38481
= 200inches³
Use the algebra tiles to model x – 2.
Then choose the answer that describes the correct tiles.
one blue x tile and two orange + tiles
one orange x tile and two blue – tiles
one blue x tile and two blue – tiles
one orange x tile and two orange + tiles
Sorry for being late but the answer is B
Answer:
B
Step-by-step explanation: e d g 20 22
Tank 1: 36 inches long, 18 inches wide, and 12 inches tall. How many gallons of water is in the tank?
I need a step-by-step explanation please
In a tank that is 36 inches long, 18 inches wide, and 12 inches tall have approximately 33 gallons of water.
How to calculate volume of a tank?The rectangular tank's volume may be calculated using the formula V = l*b* h, where "l" stands for the tank's length, "b" for its width, "h" for its height, and "V" for its volume.
Define volume.The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Volume = length*width*height
V=36*18*12
V=7776 inches^3
which is approximately 33 gallons.
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what is the value of x in the nearest whole number
Answer:
16
Step-by-step explanation:
To calculate x we must use the trig function of tangent:
as tangent is opposite divides by adjacent we can get this equation:
[tex]\tan 30 = \frac{9}{x}[/tex] which is equal to:
[tex]x=\frac{9}{\tan 30}[/tex] So x must equal to 15.588.. (just put the second bit in the calculator
As all the values provided are integers you round this to the nearest whole number:
16 (as the third digit, 5, rounds up)
so our answer is 16
Consider the series What is the truncation error for S3?
A=15
0 0.002
0 0.008
0.992
O 0.998
Help please im being timed
Answer:
Answer is B
0.008
Step-by-step explanation:
Help me help me math question
Answer: 34.25/6.5
Step-by-step explanation:
2.5*13.7=34.25
4.9+1.6=6.5
Step-by-step explanation:
2.5x13.7=34.25
4.9+1.6=6.5
PLEASE HELP ME OUT ILL GIVE BRAINLIEST!
Answer:
y = 4x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (1, 3) ← 2 ordered pairs from the table
m = [tex]\frac{3+9}{1+2}[/tex] = [tex]\frac{12}{3}[/tex] = 4 , then
y = 4x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (1, 3 ) , then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 4x - 1 ← equation of line
Calculate the difference between the two times.
alarm clock number 1
8: 15 am. or pm
alarm clock number 2
3: 30 am or pm.
Answer:
5:30 is the difference between the clocks
3. (a) How many 0.32kg portions of minced beef can be made from 15.36kg of beef? (b) If beef is sold at $25.16 per kilogram, what is the cost of six and a quarter 0.32kg portions?
Answer:
a) 48 portions
b) $157.25
Step-by-step explanation:
1) 15.36/.32 to get 48 portions
2) Since it's asking for 6.25 0.32kg portions, multiply 6.25 by $25.16 to get $157.25
18 is 15% of what number
Answer:
120
Step-by-step explanation:
The equations represent the heights, y, of the flowers, in inches, after x days. Which ordered pair (1,2.2)(1 ,2.5) or (0 ,1) is a solution to the system? Will the flowers ever be the same height? Explain. The 2 equations are y= 1.5x+1 and y= 1.2x+1
Since both of the flower will be y = 1 at x = 0, yes, the flowers will be the same height at x = 0. And (0,1) is the solution to the system of equation
How to Know Solution to a System of EquationTo know the solution of a system of equation, the two equation can be solved simultaneously.
Given the 2 equations y = 1.5x + 1 and y = 1.2x + 1
Equate the two equations to get x
1.5x + 1 = 1.2x + 1
collect the like terms
1.5x - 1.2x = 1 - 1
0.3x = 0
x = 0
Substitute x in any of the equation.
y = 1.5(0) + 1
y = 1
Yes! The flower will be of the same height at x = 0.
Therefore, (0,1) is the solution to the system of equation. And the flower will be of the same height at x = 0.
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Jacob won 59 pieces of gum playing the beanbag toss at his school's game night. Later, he
gave two to each of his friends. He onlly has 3 remaining How many friends does he have?
Answer:
28 pieces
Step-by-step explanation:
If we try to divide 59 by 2 we get an answer of 29 and r1 so the answer would be 1 friend less.
which values are solutions for the intequality 5< y-8
Answer:
y > 13
Step-by-step explanation:
Inequality graph:
Answer:
y>13
Step-by-step explanation:
5<y-8
5+8<(y-8)+8
13< y-8+8
13<y
y>13
3
A round planter has a circumference of
94 centimeters. Which measure is closest
to the diameter of the planter?
25 cm
27.5 cm
30 cm
35 cm
Answer:
30cm
Step-by-step explanation:
Divide the circumference by π, or 3.14 for an estimation.
29.9 so closest 30cm
Please help!!! Will give brainliest!!!
Select the correct answer from each drop-down menu. A picture frame with an area of 60 square inches has a width, w, and a height that is 4 inches greater than the width. Write an equation to represent the area, and solve to find the width. Equation: Of the two solutions, only a width of inches makes sense in the context of the problem. Reset Next
The width of the picture frame with the given area would be = 3.9in
What is a frame?A frame is a structure that can be a rectangle or a square shape which is used to display a picture.
The area of the frame = 60in²
The width of the frame = x
The height of the frame = 4x
The area of a rectangle = length×width
That is ; 60 = X × 4x
60 = 4x²
make X the subject of formula;
X = √60/4
X = √15
X = 3.9 in.
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I Need Help thanks
:)?
Answer:
6) x = 40.5
8) x = 16.5
Step-by-step explanation:
6) 45/x = 20/18
simplify and cross-multiply to get:
45/x = 10/9
10x = 405
x = 40.5
8) 22/8 = x/6
11/4 = x/6
4x = 66
x = 33/2
x = 16.5
is equal to 1,024. Evaluate the following expressions.
a. 46
b. 44
43.42
Answer:
What is equal to 1,024
Step-by-step explanation:
Andrew is kayaking in a river with a 6 mph current. Suppose that he can kayak 4 miles upstream in the same amount of time as it takes him to kayak 9 miles downstream. Find the speed (mph) of Andrew’s kayak in still water
If Andrew takes same amount of time to kayak 4 miles upstream and 9 miles downstream in a river with a 6 mph current, then the speed of Andrew’s kayak in still water is 15.6 miles per hour.
Therefore the answer is 15.6 mph.
We can begin solving the problem by using the equation:
Speed (relative to water) = Speed (in still water) + Speed (of the water)
Let x be the speed of Andrew's kayak in still water.
When kayaking upstream, his speed relative to the water is x - 6 mph (since the current is moving in the opposite direction at 6 mph).
When kayaking downstream, his speed relative to the water is x + 6 mph (since the current is moving in the same direction at 6 mph).
Since the problem states that it takes Andrew the same amount of time to kayak 4 miles upstream as it takes him to kayak 9 miles downstream, we can set up the following equation knowing time = distance/ speed :
4/ (x - 6) = 9/ (x + 6)
Simplifying and solving for x we get
4(x + 6) = 9(x - 6)
4x + 24 = 9x - 54
9x - 4x = 54 + 24
5x = 78
x = 15.6
So, Andrew's kayak speed in still water is 15.6 miles per hour.
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Estimate 38 x 9= ___
Answer:
400
Step-by-step explanation:
The most accurate estimate among the given options is d) 400.
Given that we need to estimate the product of 38 x 9,
To find the product of 38 and 9, you can simply multiply the two numbers together:
38 x 9 = 342
Therefore, the actual product of 38 and 9 is 342.
Now, let's estimate the product using the given options:
a) 30: This is too low of an estimate. 38 is larger than 30, so the product should be greater than 30.
b) 50: This is also too low of an estimate. 38 multiplied by 9 is significantly larger than 50.
c) 120: This estimate is closer to the actual product, but still not accurate. 120 is smaller than the actual product of 342.
d) 400: This is a close estimate. 38 multiplied by 9 is close to 400.
In summary, the most accurate estimate among the given options is d) 400.
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What % of everybody that was surveyed were Girls?
Kayden has 50 m of railing.
How much more railing does Kayden need
so that he can put railing all the way around
the roof garden?
12 m
3 m
7m
10 m
20 m
10 m
Not drawn accurately
Answer: Kayden needs 12 more meters of railing.
Step-by-step explanation:
To find the perimeter of the roof garden I added up all the numbers you listed (12m+3m+7m+10m+20m+10m) to get a total perimeter of 62 meters.
Since Kayden already has 50 meters of railing we can subtract that from the total he needs to get the remaining amount needed.
62m - 50m = 12 meters of railing remaining.
Find the values of a, b and c in the given pair of similar triangles. Answer it with solution, please. Thank you.
Answer:
a = 28, b = 12, c = 9
Step-by-step explanation:
The ratio of corresponding sides between the triangles is 4 to 7, or 4/7 (comparing small triangle to the large one).
Set up proportions.
[tex]\frac{16}{a}=\frac{4}{7}\\\\4a=112\\\\a=28[/tex]
Next, find b.
[tex]\frac{b}{21}=\frac{4}{7}\\\\7b=84\\\\b=12[/tex]
Finally,
[tex]c=21-b=21-12=9[/tex]
Find the area of a circle with a radius of 70 centimetres
Answer:
15393.8cm sorry if im wrong
The two polygons are similar. Find the Scale Factor between the
figures.
Answer:
x=9.2
Step-by-step explanation:
23/x=17.5/7
cross multiply
17.5x=161
divide
x=9.2