Answer:
[tex]11111111_{2} =255_{10}[/tex]
Step-by-step explanation:
The largest eight-digit base 2 integer is 11111111.
[tex]\begin{array}{rcr}1\times 2^{7} & = & 128\\1\times 2^{6} & = & 64\\1\times 2^{5} & = & 32\\1\times 2^{4} & = & 16\\1\times 2^{3} & = & 8\\1\times 2^{2} & = & 4\\1\times 2^{1} & = & 2\\1\times 2^{0} & = & 1\\\mathbf{11111111_{2}} & = & \mathbf{255_{10}}\\\end{array}[/tex]
Answer:1111111
Step-by-step explanation:
The largest eight-digit base 2 integer is 11111111
Translate the phrases below into inequalities and interval notation. Use the variable x for the inequalities. Phrase Inequality Interval notation at least 11 at most 11 more than 11 fewer than 11 strictly between 3 and 11 between 3 and 11, inclusive no more than 3
Answer:
At least 11: x≥11 ; At most 11:x≤11 ; More than11: x>11 ; Fewer than 11: x<11; Strictly between 3 and 11 : 3 < x < 11 ; Between 3 and 11: 3≤x≤11 ; Inclusive no more than 3: x≤3
Step-by-step explanation:
At least 11: x≥11At least means that the number can't be lower than 11 (11 included)
At most 11: x≤11At least means that the number can't be higher than 11 (11 included)
More than11: x>11More means that the number must be higher than 11 ( 11 not included)
Fewer than 11: x<11Fewer than means that the number must be lower than 11 ( 11 not included)
Strictly between 3 and 11 : 3 < x < 11"Strictly between" means excluding the endpoints
Between 3 and 11: 3≤x≤11Including endpoints.
Inclusive no more than 3: x≤3Inclusive includes number 3 (less or equal)
Feel free to ask for more if needed or if you did not understand something.
8x−3=−19+6x
8
x
−
3
=
−
19
+
6
x
x=−8
x=8
x=11
x=−11
Answer:
Solve each equation for x. 1) x – 15 = 24 => x = 39 2) 18 = −6 + x => x = 24 3) 19 — X = 8 => x = 11 4) x – 22 = 24 => x = 46 5) 24 — X = 17 => x = 7 6) 16 — X = 3 ...
Step-by-step explanation:
I don’t understand this question & I need to turn this in today.
Answer:
see below
Step-by-step explanation:
The blue graphs had 2 real solutions since it crosses the x axis twice
The yellow graph has no real solutions since it does no cross the x axis
The red graph has one solutions since it touches the x axis
A city has 4 new houses for every 9 old houses. If there are 28 new houses in the city, how many old houses are there?
A. 61
B. 63
C. 67
D. 65
Which table represents a function?
The one on the far left
Suppose that f is a sine function ... look at the picture
Answer:
f(3π/4) = -π
A = π
b = 2
Step-by-step explanation:
Given that the function follows the form: f(x) = A sin(bx), then f(0) = 0. Given that the period is π, then at x = π/4 the function reaches a maimum, at x = π/2, f(x) = 0, and at x = 3π/4, f(x) reaches a minimum, which have to be π*(-1) = -π
Given the general equation: f(x) = A sin(bx), its period is calculated as:
period = 2π/b
which is equal to π, then:
2π/b = π
b = 2
Replacing x = π/4 into the equation of the function, we get:
A sin(2(π/4)) = π
A sin(π/2) = π
A = π
Find the height of this shape, which has a volume of 21/32 cubic feet. Enter answer as a simplified fraction.
L=3/4
W= 1/4
Answer:
h=14
Step-by-step explanation:
3/4*1/4=3/16
21/32/(3/16)=14
Answer:
h=25
Step-by-step explanation:
Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2X
h(g(x))) =
[X²+
X+
Answer:
- 8x² - 40x - 50
Step-by-step explanation:
Begin by evaluating the inside, that is g(f(x))
Substitute x = f(x) into g(x), that is
g(f(x))
= g(2x + 5)
= (2x + 5)² ← expand using FOIL
= 4x² + 20x + 25
Now substitute x = 4x² + 20x + 25 into h(x)
h(4x² + 20x + 25)
= - 2(4x² + 20x + 25) ← distribute parenthesis by - 2
= - 8x² - 40x - 50
Thus
h(g(f(x))) = - 8x² - 40x - 50
There are 68 apples in the school kitchen. The school needs 130 apples for all the students in grade 2. The school gets two boxes of apples. Each box has three dozen apples inside. Does the school have enough apples for all the students in grade 2 ?
Answer:
Yes.
Step-by-step explanation:
Apples needed =130
apples in the kitchen =68
130-68= 62 to complete for all the students
1 (3 dozens x 12) = 36 apples x 2= 72
68 +72=140 apples available for all the students
Answer:
Yes
Step-by-step explanation:
The reason for this is because 1 dozen is 12. And the schools bought 6 dozens of apples. If you multiply 36 by 2 you get 72. Then if you add 72+68 you get 140 apples, but the school only needed 130 apples. So yes the school has enough apples for grade 2.
Hope it helps
4. Last year, an intramural touch football team at the local university had a decent
season. The total points scored by the team for each of the 20 games are listed
below.
24
49
28
50
34
51
36
52
36
52
40
62
41
67
43
68
43
73
48
79
Construct a histogram of the data
Answer:
The histogram is attached
Step-by-step explanation:
The histogram attached shows the points scored in each game, where total number of games are 20
Histogram is made by the following details:
X-Axis: Game No.
(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20)
Y-Axis: Total points scored in that game.
(24,49,28,50,34,51,36,52,36,52,40,62,41,67,43,68,43,73,48,79)
Different colors are used for each much so that it is easy to differentiate among them.
AB and BC are perpendicular lines find the value of x.
If you know the other please help i, will mark as branliest
Answer:
X=42
Step-by-step explanation:
AB and BC make a right angle
So, 24°+x+24° =90°
48°+x=90°
X=90°-48°
X=42
______________________________
Answers:a. 42 degree.
b.i. q=135 degree( being vertically opposite angles)
j=135 degree( being corresponding angles)
b.ii. 225
Step by step explanation:a. 24+X+24=90[ sum of complementary angles]
or, 48+X=90
or,X= 90-48
X=42 degree
b.i. q=135 degree( being vertically opposite angles)
Vertically angles are always equal to each other.
j=135 degree( being corresponding angles)
Corresponding angles are always equal to each other.
b.ii. p+135=180[ sum of angle in straight line]
or,p= 180-135
p=45 degree.
q= 135 degree[ being vertically opposite angles]
r=p[being vertically opposite angles]
r=45 degree
Now,
p+q+r
= 45+135+45
=225 degree
Hope it helps
Good luck on your assignment
__________________________________
What is the sum o[tex]\sqrt{-} 2 and \sqrt{} -18[/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{-2}=\sqrt{2}i\\\\\sqrt{-18}=\sqrt{2*3*3}i=3\sqrt{2}i\\\\\sqrt{-2}+\sqrt{-18}= \sqrt{2}i+3\sqrt{2}i\\ =(1+3)\sqrt{2}i\\\\=4\sqrt{2}i[/tex]
3. What is the solution to the equation 3x = 15? Express the
solution as a logarithm, make an estimate, and then evaluate.
Round to the nearest thousandth.
Answer:
x=2.4650
Step-by-step explanation:
I assume that you mean [tex]3^x=15[/tex]
so let s use the ln() function
[tex]ln(3^x)= xln(3)=ln(15)[/tex]
so x = ln(15)/ln(3)
x = 2.4650
What is the gradient of the blue line?
The gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.
What is the gradient of a line?The gradient of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It can be calculated with the following formula.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Here, (x1,y1) and (x2,y2) are the coordinates of two points lies on the line.
In the given graph, the blue line passes through the point (3,0) and the form the point (-1,2). Thus, the gradient of the line is,
[tex]m=\dfrac{2-0}{-1-3}\\m=\dfrac{2}{-4}\\m=-\dfrac{1}{2}[/tex]
Thus, the gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.
Learn more about the gradient of a line here;
https://brainly.com/question/11693181
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Calcula la hipotenusa de un triángulo rectángulo, cuyos catetos miden 24 dm y 20 dm, respectivamente.
Answer:
31.2 dm
Step-by-step explanation:
Podemos calcular a hipotenusa do triángulo empregando a regra de Pitágoras:
[tex]h^2 = a^2 + b^2[/tex]
onde h = hipotenusa
a = unha perna do triángulo
b = outra perna do triángulo
Polo tanto:
[tex]h^2 = 20^2 + 24^2\\\\h^2 = 400 + 576\\\\h^2 = 976\\\\h = \sqrt{976}\\ \\h = 31.2 dm[/tex]
A hipotenusa é de 31,2 dm
what is the value of x?
Answer:
x = 3 will be the answer.
Step-by-step explanation:
From right triangle ABC,
By applying Sine rule,
Sin45° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BC}{AC}[/tex]
[tex]\frac{1}{\sqrt{2}}[/tex] = [tex]\frac{BC}{6\sqrt{2}}[/tex]
BC = 6 units
Now from right triangle BCD,
By applying Cosine rule,
Cos60° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BD}{BC}[/tex]
[tex]\frac{1}{2}=\frac{x}{6}[/tex]
x = [tex]\frac{6}{2}[/tex]
x = 3
Which property of addition is shown below?
If x = 1 + 2i and y = -1 -2i, then x + y = 0.
commutative property
identity property
associative property
inverse property
Answer:
Inverse Property
Step-by-step explanation:
This property is inverse property with respect to addition.
E.g.
If x=y and z= -y
Then,
x+z = 0
its basically d on edg :)
Part of the graph of the function f(x) = (x - 1)(x + 7) is
shown below.
Which statements about the function are true? Select
three options.
The vertex of the function is at (-4,-15).
6
The vertex of the function is at (-3,-16).
4
The graph is increasing on the interval x > -3.
2
The graph is positive only on the intervals where x <-7
and where
X > 1.
+
-8
-6
-4
-2
2
х
2.
The graph is negative on the interval x < -4.
4
-6
Mark this and return
Save and Exit
Next
Submit
Answer:
Step-by-step explanation:
The given function is
[tex]f(x)=(x-1)(x+7)[/tex]
Zeroes of the function are
[tex](x-1)(x+7)=0[/tex]
[tex]x=-7,1[/tex]
It means, f(x) intersect x-axis at x=-7 and x=1.
Mid value of -7 and 1 is the x-coordinate of the vertex.
[tex]\dfrac{-7+1}{2}=-3[/tex]
At x=-3,
[tex]f(-3)=(-3-1)(-3+7)=(-4)(4)=-16[/tex]
So, the vertex of the function is at (-3,-16).
The given function can be written as
[tex]f(x)=x^2+7x-x-7[/tex]
[tex]f(x)=x^2+6x-7[/tex]
Here leading coefficient is negative, it means it is an upward parabola.
So, we conclude that
1. The graph is increasing on the interval x > -3.
2. The graph is decreasing on the interval x < -3.
3. The graph is positive only on the intervals where x <-7 and where x > 1.
4. The graph is negative only on the intervals where -7 < x < 1.
Therefore, the correct options are 2, 3 and 4.
Answer:
THE CORRECT ANSWERS ARE 2,3,4!
Step-by-step explanation:
TOOK THE TEST ON EDGE
simplify the expression -2 + 15
Answer: 13
Step-by-step explanation: 15-2=13
Can someone please help me with this?
Answer:
3/4
Step-by-step explanation:
There are 12 marbles in the bag
9 marbles are not blue
P(not blue) = marbles that are not blue / total marbles
= 9/12 = 3/4
What is the surface area of the regular pyramid given below?
A. 144 units2
B. 352 units2
C. 176 units2
D. 208 units
Answer:
The surface area of the pyramid is 208 units²
Step-by-step explanation:
Luckily, since this is a square pyramid, we only need to find two numbers. These two numbers are the area of the base and the area of one triangular side. After we find them, we need to add them all together.
First, the base:
Since it's a square, we can just do 8 · 8 and get 64. Now we have one of the two needed numbers.
Second, one of the triangles:
To start, we multiply the base (8) by the height (9) giving us 72. After we divide that by 2, we have the area of the triangle, which is 36. Now we have the second number down. Now we can...
Finally, add them all together:
Now that we have the area of the base (64) and one of our triangles (36), we need to add them together. We add the base once and the triangle four times (because there are four triangles) to get the total surface area. Our expression looks like this:
64 + 36 + 36 + 36 + 36
After doing some simplifying, we get our final number, 208.
The surface area of the pyramid is 208 units²
The surface area of the regular pyramid in the diagram is 208 units².
What is the Area of a Pyramid?The surface area of the pyramid = Sum of area of the triangular faces + Area of the square base.
Surface area of the pyramid = 2bh + b²
Where b is the base
and h is the perpendicular height of each triangular faces
In the given diagram,
b = 8
h = 9
∴ Surface area of the pyramid = 2×8×9 + 8²
Surface area of the pyramid = 144 + 64
Surface area of the pyramid = 208 units²
Hence, the surface area of the regular pyramid in the diagram is 208 units².
Learn more on Calculating area of Pyramid here: brainly.com/question/22744289
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.In a group of 40 people, 15 people are wearing
sneakers and rest are not. Of the 10 people
who are wearing blue shirts, 5 of them are also
wearing sneakers. What portion of all the people
are not wearing sneaker and not wearing a blue
shirt?
Answer:
It should be 5:10 or 5 people not wearing sneakers and 10 not wearing a blue shirt
Step-by-step explanation:
Well it quite simple 1st you have the total which is 40
next you look at the rest, 15 people wearing sneakers plus the 5 waering sneakers and blue shirt. now you have 15.
next you have 10 people wearing but shirts. if you add the numbers you have now you get this: 15+10=25.
Now that you have 25 you can just add numbers to get 25(in that case 10 and 5). whats how you get 5:10
hope this helps (barry_ary)
Answer:
10
Step-by-step explanation:
15+10= 25
25+5=30
40-30=10
10 people are not wearing sneakers and
blue shirts
The distribution of average wait times in drive-through restaurant lines in one town was approximately normal with mean \mu = 185μ=185mu, equals, 185 seconds and standard deviation \sigma = 11σ=11sigma, equals, 11 seconds. A journalist wrote an article about the restaurants whose average drive-through wait times were in the top 25\%25%25, percent for that town. What is the minimum average wait time for restaurants that the journalist included in the article?
Using the normal distribution, it is found that the minimum average wait time is of 192 seconds.
------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 185 seconds, thus [tex]\mu = 185[/tex].Standard deviation of 11 seconds, thus [tex]\sigma = 11[/tex].The top 25% is at least the 100 - 25 = 75th percentile, which is X when Z has a p-value of 0.75, so X when Z = 0.675.[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 185}{11}[/tex]
[tex]X - 185 = 11(0.675)[/tex]
[tex]X = 192[/tex]
The minimum wait time is of 192 seconds.
A similar problem is given at https://brainly.com/question/7001627
Prove that for any natural n the number 3^(n+4)−3n is divisible by 16.
Answer:
Step-by-step explanation:
Prove that for any natural number 3^(n+4)-3n is divisible by 16.
(I'm going to assume that you mean 3^(n+4)-3^n.)
1. We can break up 3^(n+4)-3n into 3^n * 3^4-3^n (by the rule a^b*a^c = a^b+c).
2. Solve to get 3^n * 81 - 3^n
3. Factor out the 3^n, and you'll get 3^n(81-1), and simplify: 3^n(80)
You may notice that 80 is divisible by 16.
4. Rewrite what we got from the last step as: 3^n*5(16).
Hope this helped you!
The proof that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16 is; it was simplified to 3ⁿ × 5
What is the proof that the number is divisible?
We want to show that show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is; (3ⁿ⁺⁴ - 3ⁿ)/16
From laws of indices, we know that;
aᵐ⁺ⁿ = aᵐ × aⁿ.
Thus; 3ⁿ⁺⁴ can be expressed as 3ⁿ × 3⁴.
Thus; (3ⁿ⁺⁴ - 3ⁿ)/16 is;
((3ⁿ × 3⁴) - 3ⁿ) = 3ⁿ((81 - 1)/16)
3ⁿ(80/16) = 3ⁿ × 5
The expression has been fully simplified to show that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16.
Read more about proof of numbers at; https://brainly.com/question/10657323
Find the sum. Write your answer in simplest form. 2 1/2+ 5 5/8
Answer:
8 1/8
Step-by-step explanation:
2 4/8 plus 5 5/8
4/8 because it equals to 1/2
Answer:
8 1/8
Step-by-step explanation:
2 1/2+ 5 5/8
2 4/8 + 5 5/8
7 9/8
8 1/8
Q= 3t^2 - 5th Make h the subject of the formula
Answer:
3t² - Q / 5t
Step-by-step explanation:
Q = 3t² - 5th collect like terms (separate 5th from the rest of the equation)
5th = 3t² - Q (divide both sides by 5t)
h = 3t² - Q / 5t
If this helped please mark me as brainliest
Select the correct answer from each drop-down menu.
If x = (10 - 3i) and y= (3 - 10i), then xy=
and r/y
Answer:
[tex]xy=30-109i+30i^2[/tex]
Step-by-step explanation:
If x=(10-3i) and y=(3-10i), then xy=
[tex](10-3i)(3-10i)=[/tex]
Using the FOIL method:
First: [tex]30[/tex]
Outer: [tex]-100i[/tex]
Inner: [tex]-9i[/tex]
Last: [tex]30i^2[/tex]
[tex]30-100i-9i+30i^2=\\30-109i+30i^2[/tex]
[tex]xy=30-109i+30i^2[/tex]
Find the perimeter and area of the rectangle given below. A rectangle ABCD with vertices A(2,4), B(2,7), C(5,7), and D(5,4).
Answers:
Perimeter=6 units
Area=0 units ^2
please see the attached picture for full solution
hope it helps
Good luck on your assignment
Is the function even, odd or neither?
f(x) = |x| + 1
Your answer:
Even
Odd
Neither
Answer: Even
Step-by-step explanation:
This graph has been translated up by one unit but is still symmetrical about the y axis.
A simple proof would be to check if f(x) = f(-x). If it does, then it is even.
To check for an odd function, check if f(-x) = -f(x). If it does, then it is even.
To check for neither, f(-x) will not equal -f(x)
solve the inequality 2/w+3>29/w
Answer:
w<0 or w>9
Step-by-step explanation:
2
w
+3>
29
w
3w+2
w
>
29
w
Let's find the critical points of the inequality.
3w+2
w
=
29
w
3w+2=29(Multiply both sides by w)
3w2+2w=29w(Multiply both sides by w)
3w2+2w−29w=29w−29w(Subtract 29w from both sides)
3w2−27w=0
3w(w−9)=0(Factor left side of equation)
3w=0 or w−9=0(Set factors equal to 0)
Answer:
Explanation:
2
w
+
3
>
29
w
First take LCM
2
+
3
w
>
29
w
Now you can remove the denominator(LCM) because it is on both sides.
So, we get
2 + 3w > 29
3w > 27
w>9
In this way, we get the answer.
Step-by-step explanation:
