If the given number is in base 2, that means
11100111₂ = 2⁷ + 2⁶ + 2⁵ + 2² + 2 + 1
8 = 2³, and so we have
11100111₂ = 2 • (2³)² + (2³)² + 2² • 2³ + 2² + 2 + 1
11100111₂ = 3 • 8² + 4 • 8 + 7
11100111₂ = 347₈
Because 8 is the 3rd power of 2, we can also split up the given number into block of length up-to 3, then convert each block directly into base 8:
11 100 111
11₂ = 2 + 1 = 3
100₂ = 2² = 4
111₂ = 2² + 2 + 1 = 7
so again we get 347₈.
the length of a rectangle is five times the width. if the area of the rectangle is 125 square inches, find the length and width
The smallest number that must be added to 1300 to make it a perfect cube is
a. 42
b. 36
c. 25
d. 31
Answer:
d. 31.
Step-by-step explanation:
11^3 = 1331
31.
given the functions f(x)=7x-2 amd g(x)=3x+6, find the value of x for which F(x)=g(x)
Answer:
Step-by-step explanation:
Hello,
f(x)=g(x)
<=> 7x-2=3x+6
<=> 7x-3x=6+2
<=> 4x=8
<=> x = 2
thanks
1. Carol put 6 gallons of gas in her tank and spent $26.58.
Mark filled up at the same station and put 18 gallons of gas
into his tank. How much did Mark spend?
Answer:
$79.74
Step-by-step explanation:
[tex]\frac{6}{26.58} = \frac{18}{x} \\\\6x = 478.44\\x = 79.74[/tex]
If 1 mile equals 5280 feet how many feet are in 7 miles 754 feet 1326 feet 3696 feet or 36,960 feet
Answer:
36,960 feet
Step-by-step explanation:
5280×7=36,960
Answer:
D: 36,960 feet
Step-by-step explanation:
Edge results
6) A boat traveled 80 miles downstream and back. The trip downstream took 5 hours. The trip back took
10 hours. What is the speed of the boat in still water? What is the speed of the current?
Answer:
12 mph and 4 mphStep-by-step explanation:
Let the speed of the boat = b and the speed of the current = cEquations to reflect time, time = distance/speed:
Downstream80/(b + c)= 5 ⇒ b - c = 80/5 ⇒ b + c = 16Upstream80/(b - c) = 10 ⇒ b - c = 80/10 ⇒ b - c = 8Sum of the 2 equations above
b + c + b - c = 16 + 82b = 24b = 12c = 16 - 12 = 4So the speed of the boat is 12 mph
The speed of the current is 4 mph
I need help this is due by 3pm!!!!! multiplying fractions,brainly if correct.
Answer:
2 3/4
Step-by-step explanation:
There are 24 boys and 16 girls on a playground what is the ratio of boys to total number of children on the playground
Answer:
24:40 or 3:5
Step-by-step explanation:
24+16=40. 24:40 can be simplified to 3:5.
Hope this helped!
The ratio of boys to the total number of children on the playground if, There are 24 boys and 16 girls on a playground is 3 / 5.
What is ratio?
It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
Given:
There are 24 boys and 16 girls on the playground,
Calculate the total number of children as shown below,
The total number of children = 24 + 16 = 40
The ratio of boys to the total number of children is given as,
The ratio of boys to the total number of children = number of boys / total number of children,
The ratio of boys to the total number of children = 24 / 40
The ratio of boys to the total number of children = 3 / 5.
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why are the factors in your multiplication sentences in a different order
In multiplication, the order doesn't matter.
2 rows of 7 and 7 rows of 2 is the same.
If you have seven 2's, that's the same as two 7's.
See here:
2 + 2 + 2 + 2 + 2 + 2 + 2 = 14
7 + 7 = 14
Or:
2 * 7 = 7 * 2 = 14
!! PLEASE HELP !!
What is the expression in radical form?
(3p^3q)3/4
Answer:
A
Step-by-step explanation:
Recall that if we are given fractional exponents, we can use the following property:
[tex]\displaystyle x^{ {}^{a}\!/\! {}_{b}} = \sqrt[b]{x^a}[/tex]
We are given the expression:
[tex]\displaystyle (3p^3q)^{ {}^{3}\!/\! {}_{4} }[/tex]
Use the above property, this yields:
[tex]=\sqrt[4]{(3p^3q)^3}[/tex]
Using the power of a power property, we can simplify this to:
[tex]=\sqrt[4]{(3^3)(p^3)^3(q)^3}[/tex]
Simplify:
[tex]=\sqrt[4]{27p^9q^3}[/tex]
In conclusion, our answer is A.
2(x-3)+9=3(x+1) +x what is x
Answer: 3
Step-by-step explanation: Simplifying
2(x + -3) + 9 = 3(x + -1) + x
Reorder the terms:
2(-3 + x) + 9 = 3(x + -1) + x
(-3 * 2 + x * 2) + 9 = 3(x + -1) + x
(-6 + 2x) + 9 = 3(x + -1) + x
Reorder the terms:
-6 + 9 + 2x = 3(x + -1) + x
Combine like terms: -6 + 9 = 3
3 + 2x = 3(x + -1) + x
Reorder the terms:
3 + 2x = 3(-1 + x) + x
3 + 2x = (-1 * 3 + x * 3) + x
3 + 2x = (-3 + 3x) + x
Combine like terms: 3x + x = 4x
3 + 2x = -3 + 4x
Solving
3 + 2x = -3 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
3 + 2x + -4x = -3 + 4x + -4x
Combine like terms: 2x + -4x = -2x
3 + -2x = -3 + 4x + -4x
Combine like terms: 4x + -4x = 0
3 + -2x = -3 + 0
3 + -2x = -3
Add '-3' to each side of the equation.
3 + -3 + -2x = -3 + -3
Combine like terms: 3 + -3 = 0
0 + -2x = -3 + -3
-2x = -3 + -3
Combine like terms: -3 + -3 = -6
-2x = -6
Divide each side by '-2'.
x = 3
Simplifying
x = 3
rewrite the expression in the form y^n
(y^4)^2
Answer:
the answer is y^8
Step-by-step explanation:
(y^m)^n= y^mn
(y^4)^2= y^4x2= y^8
Is .111111111... a rational number? Yes or No?
Answer:
The answer is no this number is not rational.
Step-by-step explanation:
Because, To show that the rational numbers are dense:
It cannot be expressed as a fraction with integer values in the numerator and denominator. When an irrational number is expressed in decimal form, it goes on forever without repeating.
Place each of the digits 1, 3, 5, and 6 in the blanks provided to create an expression whose value is 1/10
Answer:
[tex]\frac{1}{5}\times \frac{3}{6}=\frac{3}{30}[/tex]
Step-by-step explanation:
From the picture attached,
Multiplication of two fractions gives the result as [tex]\frac{1}{10}[/tex].
This shows that the denominator of the fractions when multiplied with each other results a number that will be the multiple of 10.
Therefore, from the given numbers,
5 × 6 = 30
Rest two numbers be placed as the numerator of the fractions.
[tex]\frac{1}{5}\times \frac{3}{6}=\frac{3}{30}[/tex]
[tex]=\frac{1}{10}[/tex]
Therefore, [tex]\frac{1}{5}\times \frac{3}{6}=\frac{1}{10}[/tex] will be the answer.
f(x) = 14 – 0.5x f(30)=
Maybe -1 idk for sure tho
Step-by-step explanation:
Answer:
30f - 0.5x + 14 fx i think thats im only in 8th grade
Step-by-step explanation:
pls help i need this done as quick as possible
Answer:
Infinite Solutions.
Step-by-step explanation:
[tex]m+7=3+m+4[/tex]
Subtract m from both sides:
[tex]m+7-m=3+m+4-m[/tex]
[tex]7=3+4[/tex]
[tex]7=7[/tex]
Both sides are equal.
This means that the value of m does not affect the end result of 7 = 7, which is true. Thus, there are infinite solutions as any value of m will still make the equation true.
Answer:
Infinite Solutions
Step-by-step explanation:
Hope this will help
Using each of the digits 1 to 9 once and only once form two whole numbers one of which is double the other
Find the area and the circumference of a circle with diameter 6 cm.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
C≈18.85 cm
A≈28.27 [tex]cm^{2}[/tex]
The area of the circle is approximately 28.27 cm², and the circumference is approximately 18.85 cm.
We have,
Area of a circle: A = πr²
Circumference of a circle: C = 2πr
Radius (r) = Diameter / 2 = 6 cm / 2 = 3 cm
Area of the circle:
A = πr² = π(3 cm)² ≈ 28.27 cm²
Circumference of the circle:
C = 2πr = 2π(3 cm) ≈ 18.85 cm
Therefore,
The area of the circle is approximately 28.27 cm², and the circumference is approximately 18.85 cm.
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5/17 as a percentage
Hello.
Divide the two numbers, then multiply by 100.
5/17 = 0.294
0.294 * 100 = 29.4
5/17 as a percentage is 29%
(in full, 29.411764%)
Which statement accurately describes the Internet? The Internet was introduced and first used by consumers during the 1980s. The Internet was first used by astronauts on the International Space Station. The Internet was created by the US Department of Defense for military purposes. The Internet has primarily affected entertainment, rather than politics or the economy.
The statement that accurately describes the internet is that it was created by the US Department of Defense for military purposes.
What is the internet?It is a complex massive network that connects devices all around the world, this includes cellphones, computers, tablets. etc.
How did the internet start?The first official project that developed this network was the ARPA project or Advanced Research Project Agency. This project was developed by the Department of Defense in the United States and the purpose was to create a network that could be used as part of military strategies.
Based on this, the true statement is that the internet was created for military purposes by the Defense Department.
Learn more about internet in: https://brainly.com/question/18543195
Answer:
Sorry I'm late to answer, but the answer is C.
Hope this helps!
Problem 5 Answer Choices (SELECT ALL THAT APPLY)
1
Problem #5
Select all of the numbers that
David could multiply by 300 to
get a product less than 300.
Answer:
any number less than one multiplied by 300 would be less than 300
BRAINLIEST
I NEED HELP
SUPER HARD
Write a rule
for a nonlinear function such that y is negative when x = 1, positive when x=2,
negative when x=3, positive when x = 4, and so on.
Answer:
We know that a negative value is positive of all even exponents and negative for all odd exponents.
y=(-1)^x
Suppose you are interested in how participants behave in different color conditions. You select 30 participants and assign them to one of three rooms. The rooms differ only with respect to the color of the walls. One room is white, one is pale blue, and a third is bright red. Each participant is served a meal of a hamburger and french fries, and you then measure how long it takes them to finish eating. What would be the independent variable in this study
The answer is the color of the room
Explanation:
In this study, the color of the room is the factor or variable that is modified by the researcher. Also, it is expected the color of the room affects participants' behavior but not the opposite. This shows the color of the room is an independent variable because this factor is not affected by other variables, and it modifies the dependent variable (behavior). Moreover, in studies, the independent variable is always the one that is changed by the researcher.
The term test grades for an introductory calculus class was aggregated into
intervals of 10% to construct a relative frequency distribution. Suppose we
know the mean is 56% and the median is 40%. What would be true about the
center and the spread?
Answer:
its the same
Step-by-step explanation:
you read
You need to arrange 10 of your favorite books on a small shelf. How many different ways can you arrange the books, assyming that the ordwr of the books make a differe
Answer:
You can arrange the books 3,628,800 different ways.
Step-by-step explanation:
You can imagine that the shelf has 10 "slots" where you can place a book. Each slot can take 1 of the 10 books. However, after you have placed 1 book, there are only 9 possible books to place. After 2 have been placed, there are only 8 possible.
Going left-to-right, the first slot has 10 available books.
Total combinations: 10
The 2nd slot has 9 available books.
Total combinations: 10 * 9
The 3rd slot has 8 available books.
Total combinations: 10 * 9 * 8
This continues for all 10 slots.
Eventually, for slot 10, there is only 1 book possible.
Total combinations: 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
Multiply all numbers between 10 and 1 with each other is also known as "10 factorial" or "10!"
Thus, the total number of combinations is:
[tex]10! = 10*9*8*7*6*5*4*3*2*1 = 3628800[/tex]
Answer: You can arrange the books 3,628,800 different ways.
A smokejumper jumps from a plane that is 1900 ft above the ground. The function h=-16^2+1900 gives the jumper's height h in feet during the free fall at t seconds.
a. How long is the jumper in free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 950 ft?
c. What is a reasonable domain and range for the function h?
PLZZZ ANSWER URGENT
Answer:
c
Step-by-step explanation:
hope that helps
A lemon aid stand sells 14 gallons of lemon aid in 3 hours how many halls can they expect to sell after three, eight hour days?
Answer:
112 gallons
Step-by-step explanation:
Step 1:
3 × 8 Equation for finding how many hours in the 3 days
Step 2:
24 hours Multiply
Step 3:
14 ÷ 3 Equation to find how many gallons per hour
Step 4:
4.66666666667 Divide
Step 5:
4.66666666667 × 24 Equation
Answer:
112 Multiply
Hope This Helps :)
Find the solution set to this inequality:
6m+2<5m- 4
O im m: 6
0 mm 2
(
mm2)
mm 6
Answer:
vruu
Step-by-step explanation:
skvnrwniohwrigjqepvpoqepmveppiehpihuorhg8hginvknkcmksmlkqslqbyftdrses6duguhojcfxzwexyvyih8ttde5setvjmpokuigcfxdetguinjnh fxtrfyhbh c
[tex]\int\limits^a_b {x} \, dx \int\limits^a_b {x} \, dx x^{2} \frac{x}{y} \pi \int\limits^a_b {x} \, dx \sqrt{x} \frac{x}{y} \frac{x}{y} x^{2} x^{2}[/tex]
What is the solution set for the exponential inequality (1/2)^2x+1<4
A.(0, 4)
B.(0, ∞)
C.{-3/2,4}
xxxxD.{-3/2,infinity)
It's D
Answer:
Answer is choice D. [ -3/2, ∞)
Step-by-step explanation:
correct on edg
The interval notation for the given exponential inequality is (-3/2, ∞).
The exponential inequality is [tex](\frac{1}{2} )^{2x}+1 < 4[/tex].
What is an exponential inequality?Exponential inequalities are inequalities in which one (or both) sides involve a variable exponent. They are useful in situations involving repeated multiplication, especially when being compared to a constant value, such as in the case of interest.
Now, the given exponential inequality can be solved as follows:
[tex](\frac{1}{2} )^{2x}+1 < 4[/tex]
⇒ [tex](\frac{1}{2} )^{2x} < 3[/tex]
⇒ [tex]\frac{1}{2^{2x} } < 3[/tex]
Multiply [tex]2^{2x}[/tex] on both the sides of the inequality.
That is [tex]\frac{1}{2^{2x} } .2^{2x} } < 3.2^{2x} }[/tex]
⇒ [tex]1 < 3.2^{2x} }[/tex]
Solve for x
[tex]x=\frac{ln \frac{1}{3} }{2 ln 2}[/tex]
The solution consists of all of the true intervals.
[tex]x > \frac{ln \frac{1}{3} }{2 ln 2}[/tex]
Interval Notation: (-3/2, ∞)
Therefore, the interval notation for the given exponential inequality is (-3/2, ∞).
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10 points please help ASAP
1. Corresponding angles. (upper left) 2. Alternate interior angles. ( upper right)
3. Alternate exterior angles. ( bottom left)
4. consecutive interior angles. ( bottom right)
