Assuming the given number is in base 2, we have
111.01₂ = 2² + 2¹ + 2⁰ + 2⁻²
111.01₂ = 4 + 2 + 1 + 0.25
111.01₂ = 7.25
Simplify 10/16 to lowest terms and find and equivalent fraction that has a denominator of 32
The lowest terms of fraction are, 5/8
And, The equivalent fraction that has a denominator of 32 is,
⇒ 20 / 32
We have to given that,
To simplify fraction 10/16 to lowest terms and equivalent fraction that has a denominator of 32.
We have,
⇒ 10 / 16
⇒ 10 ÷ 2 / 16 ÷ 2
⇒ 5 / 8
Therefore, The lowest terms of fraction are, 5/8
And, Let the numerator of the fraction with denominator 32 is, x
Hence, It can be written as,
⇒ x / 32
Equivalent to 10/16,
⇒ 10/16 = x/32
⇒ 32 x 10 = 16x
⇒ 320 = 16x
⇒ x = 20
Therefore, The equivalent fraction that has a denominator of 32 is,
⇒ 20 / 32
Learn more about the fraction visit:
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The perimeter of a rectangle is 84cm.
Its shortest side has a length of 3cm.
State the length of the longest side.
Answer:
39 cm
Step-by-step explanation:
The perimeter of a rectangle is given as 2 (w + l) or 2w + 2l, where w and l are the sides.
Let us use w as 3 cm.
The perimeter of the rectangle is 2(3) + 2l = 6 + 2l
6 + 2l = 84 cm
We move the 6 to the left hand side and it goes from positive to negative.
2l = 84 - 6cm
2l = 78 cm
Divide both sides by 2.
l = 39 cm
There you have the answer for side l.
Hope this helps.
Evaluate.
0.2^3÷0.4⋅60+3.6÷1.2
Enter your answer as a decimal
Answer:
what that's grade? ha
that's first year college
I need help I never got taught how to do this
Answer:
736cm²
Step-by-step explanation:
The surface area of a regular pyramid is equal to:
area of the square base + 1/2ps
where p is the perimeter of the base and
s is the height of the slant line of the pyramid.
In your drawing s = 15cm and the base has four equal lengths of 16cm
So first find the area of the base. Since this is a square, the area is just the
length x the width or 16cm x 16cm = 256cm²
(p) is the perimeter of the base. Find this by adding all four side of the bottom square together which is 16cm + 16cm + 16cm + 16cm or 4 x 16cm which is 64cm.
You already were given (s) which is the height of the slanted side from the base to the pointed top. The drawing gives you this as 15cm.
So plugging all this into the formula, you get:
Surface Area = Area of Base + 1/2 p s
= 256 cm² + [1/2 ( 64cm )(15cm)]
= 256 cm² + {1/2 ( 960 cm²)]
= 256 cm² + 480 cm²
= 736 cm²
Please help me I need to pass
PLEASE HELP!! Only answer if correct.
Answer:
top -55
bottom 325
Step-by-step explanation:
PLEASE HELP ME
(Part 1) A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Point-Slope form. Show your work algebraically for full credit. Circle your answer
(Part 2) A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Slope-intercept form. Show your work algebraically for full credit. Hint: this is the same line as in #1. Circle your answer.
Answer:
48
Step-by-step explanation:
A step-by-step solution to 1/6 plus 2/8, with the answer in fraction form.Now we multiply 1 by 8, and get 8, then we multiply 6 by 8 and get 48.
What is the slope from a graph:
Rise/run = slope
hope this helps :)
how long does a pregnancy last will give 100 points I'm in test
a 1day
b 1mounth
c 2weeks
d 1year
Answer: D is the answer
Step-by-step explanation:
And why are you asking this question? Are you a girl?
help 50 points for the awnser
[tex]8 \geqslant h[/tex]
Swap the sides of the inequality and flip the inequality sign[tex]h \leqslant 8[/tex]
Alternate form:h∈《-∞,8]Hence, Option A, B, D is correct..Given inequality ,
[tex]\sf\longrightarrow 8 \geq h[/tex]
This implies h is less than or equal to 8 . Hence it cam sustain all the values 8 , 7 , 6 , 5 , .....
On looking at options given ,
[tex]\sf\longrightarrow h = 8 \\ [/tex]
[tex]\sf\longrightarrow h = 5 \\ [/tex]
[tex]\sf\longrightarrow h = 6 [/tex]
Arjun paid $21.60 for a box that contained 12 packs of baseball cards. At this rate, how much is one pack of baseball cards?
Answer:
$1.80
Step-by-step explanation:
You need to divide the amount he paid for the 12 packs by 12 and you get 1.80
HELP PLZ !
Plot the numbers 3.07 , 2.92 and 3.02 on the number line
HELP
Linear function t has an x-intercept of −1 and a y-intercept of 5. Which graph best represents t?
A) Graph A
B) Graph B
C) Graph C
D) Graph D
The graph D has a x-intercept = −1 and y-intercept = 5
How to determine the graph?The given parameters are:
x-intercept = −1
y-intercept = 5
The above means that the graph crosses the x-axis at -1, and it crosses the y-axis at -5
From the list of options, the graph that satisfies the above highlights is graph D
Hence, the graph D has a x-intercept = −1 and y-intercept = 5
Read more about linear graphs at:
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30/40 in simple form
Answer:
The simplest form is 3/4
Step-by-step explanation:
Cancel the common factor of 30 and 40
Write the Fraction in Simplest Form Of 30/40
Help!! ASAP
Is relation below a function? If it is a function, state its domain.
{(0,3),(2,-3),(1,8),(2,3)}
A. The relation is not a function.
B. The relation is a function. The domain is {0,1,2}.
C. The relation is a function. The domain is {-3,3,8}
D. The relation is a function. The domain is {-3,0,1,2,3,8}
Answer:
A. The relation is not a function.
Step-by-step explanation:
Since 2 --> -3, and 2 --> 3, the relation is not a function.
Find the area and perimeter.
5.6 cm
please help!!!!
Answer:
31.36cm; 22.4cm
Step-by-step explanation:
hope this helps
Answer:
31.36 cm^2, 22.4 cm
Step-by-step explanation:
Area of the square is a^2 = (5.6)^2
= 31.36 cm^2
Perimeter of a Square = 4s
= 4(5.6)
=22.4 cm
someone help me pls
Answer:
y=1/2x + 3
Step-by-step explanation:
The first thing you need to know is that the slope of a perpendicular line is the opposite reciprocal of the other slope. Find the slope of this line, which is -2. The opposite reciprocal is 1/2. So, you know that the perpendicular line is equal to y=1/2x. Plug the x coordinate (4) in for x to have: y=1/2(4). Multiply 4 by 1/2 to get y=2. Since the y coordinate is supposed to equal 5, add 3 to y=2 to get 5. Since 3 is the amount we added, thats where the y intercept will be. Hope this helped!
If odd natural numbers are less than 7, then they are prime numbers.
True or False?
Evaluate a1 (r)^n-1 for a1 = 2, r= 3, and n = 4.
A. 216
B. 18
C. 32
D. 54
Answer:
[tex]54[/tex]
Answer D is correct
Step-by-step explanation:
[tex]a_1 \: {r}^{n - 1} \\ 2 \times {3}^{4 - 1} \\ 2 \times {3}^{3} \\ 2 \times 3 \times 3 \times 3 \\ 2 \times 9 \times 3 \\ 2 \times 27 \\ = 54[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
please someone answer with an explanation if possible!
Answer:
download gauth math and scan it and will give u the answer
Answer:
C
Step-by-step explanation:
The y intercept is where the line first crosses the y axis, so it would be positive 2. The slope is negative because it's diagonally going the left way, and its 3 because from one point to another it's 3 down and 1. The formula for a slope is rise/run, in this case it would be 3/1 which is 3.
5/7×0.25 equals 5/7÷ What to make the equation right?
4
Step-by-step explanation:
5/7 × 0.25 = 5/7 ÷ a
25/100 = 1/a
25a = 100
a = 100/25
a = 4
Write the equation of a line that
goes through the points (4,4) and
(-1,9).
Answer:
y+2 = (-1/2)(x-3)
Step-by-step explanation:
Ken used 3/4 of his wrapping paper. If he used 12 feet how much wrapping paper did he use
Answer: If Ken used 12 feet of wrapping paper, 3/4 then he would have had 16 ft of wrapping paper before he started wrapping
Step-by-step explanation:
12 divided by 3 is 4 giving us the equation 4/4 equals 4 x 4
please help me asap and show your work
Answer:
A) = 5
B) = 3
C) = [tex]2\sqrt{3}[/tex]
D) = 2.2894
Step-by-step explanation:
A) [tex]x^2=25[/tex]
[tex]\sqrt{x^2} = \sqrt{25} \\x= 5[/tex]
5*5 = 25
B) [tex]x^3 = 27[/tex]
[tex]\sqrt[3]{x^3} = \sqrt[3]{27} \\x=3[/tex]
3*3*3 = 27
C) [tex]x^2 = 12\\[/tex]
[tex]\sqrt{x^2} = \sqrt{12} \\x=2\sqrt{3} \\[/tex]
[tex]2\sqrt{3}[/tex] * [tex]2\sqrt{3}[/tex] = 12
D) [tex]x^3 = 12[/tex]
[tex]\sqrt[3]{x^3} = \sqrt[3]{12} \\x=2.2894.....\\[/tex]
2.2894 * 2.2894 *2.2894 = 12
No exact solution
What is the image point of (9, -1) after the transformation T-4,-3 0 R270°?
Answer:
Given A point (9,-1) is first translated by rule T-4,3 : ( x,y ) goes ( x - 4 , y+ 3) followed by rotation of 270°
rule of rotation of 270° : ( x , y ) goes ( y,-x )
image of ( 9 , -1) after translation :
( 9 - 1) goes (-9,-1+3)=(-9,2)
then , image after rotation of 270° :
( -9,2 ) goes (2,9 p
hence , the image point of ( 9,-1 ) (9,-1)
after the transformation T-4,3 and rotation of 270°i is ( 2,9 ).
Step-by-step explanation:
hope it helps
A line that includes the points ( – 8,9) and ( – 10,d) has a slope of 6. What is the value of d?
Answer:
The value of d is -3.
Step-by-step explanation:
We are given that a line that includes the two points (-8, 9) and (-10, d) have a slope of 6. We want to determine the value of d.
Recall that the formula for slope is:
[tex]\displaystyle m = \frac{\Delta y}{\Delta x}[/tex]
We know that the slope is 6. Substitute:
[tex]\displaystyle (6) = \frac{(d) - (9) }{(-10) - (-8)}[/tex]
Solve for d:
[tex]\displaystyle \begin{aligned} 6 & = \frac{d - 9}{-10 + 8} \\ \\ 6 & = \frac{d - 9}{-2} \\ \\ -12 & = d - 9 \\ \\ d & = -3 \end{aligned}[/tex]
In conclusion, the value of d is -3.
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50
Which function has an inverse that is a function?
Ob(x) = x2 + 3
Od(x) = -9
Om(x) = -7x
O p(x) = 1x1
Which function has an inverse that is a function?
Step-by-step explanation:
an equation is a function, if it delivers for every possible input value x exactly one result value y.
b(x) = y = x² + 3
y - 3 = x²
x = sqrt(y -3)
our formally correct
y = sqrt(x - 3)
that is actually NOT a function, as a square root delivers for most x values 2 y values : a positive and a negative value.
d(x) = -9
that means for every possible value of x the result is -9.
reversing this means that the input value of -9 has infinitely many possible results
that is NOT a function.
m(x) = y = -7x
x = -y/7
or formally correct
y = -x/7
that is a normal function. every possible value of x leads to exactly one value of y.
p(x) = y = 1x¹ = x
y = x is its own inverse function.
and this is, of course, a function. every possible value of x leads to exactly one value of y.
Solve for z:
32=12+4(z-1)
Answer:
6
Step-by-step explanation:
32 = 12 + 4 ( z - 1 )
32 - 12 = 4 ( z - 1 )
20 = 4 ( z - 1 )
20 / 4 = z - 1
5 = z - 1
z - 1 = 5
z = 5 + 1
z = 6
Cecilia owns just as many cats as she does birds. If her pets have a total of 18 legs, how many cats does she own?
Answer:
1
Step-by-step explanation:
You can get this answer by adding 4+4+4+4, equaling out to 16...but how is there 18? well you just add 2 for the bird's legs and that's your answer!!
Hope this helps you love!!!
Answer:
3
Step-by-step explanation:
3 cats with 4 legs = 12
3 birds with 2 legs =6
12 + 6=18
whats the greateats hundreds you can multiply by 6 to get close to but not go over 3236
Answer:
100
Step-by-step explanation:
6×100=600
600 might not be that much close to 3236 but it's not over 3236