Answers
Answer:
it is 1
Step-by-step explanation:
Let's use PEMDAS (do the parenthesis first).
2 to the 3 = 2x2x2 = 8
2 to the 5 = 2x2x2x2x2 = 32
8 x 32 = 256 (all the solutions are factors of 2048).
2 to the 8 = 2x2x2x2x2x2x2x2 = 256 again
256 / 256 = 1
Related Questions
Pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
numbers are 24 and 210
Step-by-step explanation:
the number are : 24(2x2x2x3) and 210 (3x2x5x7)
GCF of 24 and 210 is 6
LCM of 24 and 210 is 840
9514 1404 393
Answer:
a. numbers: 24, 210
b. GCF = 6
c. LCM = 840
Step-by-step explanation:
The number each circle represents is the product of the factors in that circle:
red circle: 2×2×2×3 = 24
blue circle: 2×3×5×7 = 210
The numbers represented in the diagram are 24 and 210.
__
The GCF is the product of the common factors--the factors in the portion of the diagram where the circles overlap:
GCF = 2×3 = 6
__
The LCM is the product of all of the factors shown in the diagram:
LCM = 2×2×2×3×5×7 = 840
_____
Additional comment
I personally find this a nice way to represent two numbers, their GCF, and their LCM. Note that there cannot be any numbers in the red (only) part of the diagram that are also in the blue (only) part of the diagram. Any common factors belong in the overlap portion of the diagram.
This diagram makes it easy to see that the LCM is the product of the numbers, divided by their GCF. (The product of the two numbers will have the center portion of the diagram appear twice in the product. It only appears once in the LCM.)
A car travelling at a constant speed covers 585 km in 9 hours. In how much time will it cover in 520 km? I want the answer in direct or inverse proportion.
Answers
Answer:
It took eight hours to travel 520km
Step-by-step explanation:
For constant term: f(a,b,g(t)), pattern term: f(a,Y,X) when pattern matching we can use the following assignment Y=b and X=g(t) to make the two terms match.
Note: A variable in the pattern is allowed to match anything in the other structure.
What do the uppercase letters X,Y represent?
Answers
Answer:
fuctions and constants
Step-by-step explanation:
please mark as brainliest if it helped :D
Four students were scheduled to get a book report in 1 hour. after the first report 2/3 hour remind. The next two reports took 1/6 hour and 1/4 hour. what fraction of the hour remained?
HELP please!!!! Due in 5 min
Answers
[tex] \frac{25}{ \sqrt[3]{5} } [/tex]write ^ as a power of 5
Answers
Answer:
[tex]5^{\frac{5}{3} }[/tex]
Step-by-step explanation:
Using the rules of exponent
[tex]\sqrt[3]{a}[/tex] = [tex]a^{\frac{1}{3} }[/tex]
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
[tex]\frac{25}{\sqrt[3]{5} }[/tex]
= [tex]\frac{5^2}{5^{\frac{1}{3} } }[/tex]
= [tex]5^{\frac{6}{3}-\frac{1}{3} }[/tex]
= [tex]5^{\frac{5}{3} }[/tex]
The basic wage earned by a truck driver for a 40-hour week is $560.00
(i) Calculate his hourly rate
For overtime work, the driver is paid one and a half times the basic hourly rate.
(ii) Calculate his overtime wage for 10 hours overtime.
(iii) Calculate the TOTAL wages earned by the truck driver for a 55-hour week.
Answers
Answer:
i: 14
ii: 140
iii: 770
(In question iii I didn't put the 10 hours overtime in it and if I put it its 910.
Step-by-step explanation:
i: 650/40=14
ii: 14x10=140
iii: 14x55=770
Please help! Steps if possible: If n=31, ¯x (x-bar)=41, and s=12, construct a confidence interval at a 90% confidence level. Assume the data came from a normally distributed population.
Give your answers to one decimal place.
decimal place.
________ < μ < _______
Answers
Answer: [tex]\boldsymbol{37.5} < \mu < \boldsymbol{44.5}[/tex]
===========================================================
Explanation:
At a 90% confidence level, the z critical value is roughly z = 1.645. Use a reference table or a calculator to determine this. Despite not knowing what sigma is, we can use a z interval here because n > 30. If the sample size n was smaller than 30, then we'd have to use a T distribution instead.
We'll plug that z value, along with the other given values, into the formula for the lower boundary L of the confidence interval.
[tex]L = \text{lower boundary}\\\\L = \overline{x} - z*\frac{s}{\sqrt{n}}\\\\L = 41 - 1.645*\frac{12}{\sqrt{31}}\\\\L = 41 - 3.545\\\\L = 37.455\\\\L = 37.5\\\\[/tex]
This value is approximate.
Do the same for the upper boundary as well
[tex]U = \text{upper boundary}\\\\U = \overline{x} + z*\frac{s}{\sqrt{n}}\\\\U = 41 + 1.645*\frac{12}{\sqrt{31}}\\\\U = 41 + 3.545\\\\U = 44.545\\\\U = 44.5\\\\[/tex]
This value is also approximate.
We have 90% confidence that the population mean [tex]\mu[/tex] (greek letter mu) is somewhere between L = 37.5 and U = 44.5
Therefore, we would write the 90% confidence interval as [tex]\boldsymbol{37.5} < \mu < \boldsymbol{44.5}[/tex]
This is the same as writing the confidence interval in the form [tex](\boldsymbol{37.5} , \boldsymbol{44.5})[/tex]. Both forms are two different ways to say the same thing. The first form being [tex]L < \mu < U[/tex] while the second form is [tex](L,U)[/tex].
Side note: The value 3.545 calculated earlier is the approximate margin of error.
what is 5/8 divided 6
Answers
[tex]\sf \longmapsto \frac{5}{8} \div6[/tex]
[tex]\sf \longmapsto \frac{5}{8} \times \frac{1}{6} [/tex]
[tex]\sf \longmapsto \frac{5 \times 1}{8 \times 6} [/tex]
[tex]\sf \longmapsto \frac{5}{48} [/tex]
Answer In DECIMAL:
[tex]\sf \longmapsto0.1041[/tex]
Find the exact values of cos 2x and tan 2x if sin x =4/5 and x is a quadrant II angle.
Answers
Answer:
Step-by-step explanation: 3-4-5 triangle
If sinx = 4/5, then cosx = -3/5 and tanx = 4/-3 x is approximately 126.87°
cos2x = cos²x - sin²x = (-3/5)² - (4/5)² = 9/25 - 16/25 = - 7/25
tan2x = 2tanx / (1 - tan²x) = 2(4/-3) / (1 - (4/-3)²) = (8/-3) / (1 - 16/9) = (-8/3) / (-7/9)
tan2x = (-8/3) • (-9/7) = 72/21 = 24/7
2/-2.5+4.1+1.2(3+6)/-0.1
Answers
Answer:
-104.7Step-by-step explanation:
2 : (-2.5) + 4.1 + 1.2 * (3+6) : (-0.1 ) =
-0.8 + 4.1 + 10.8 : (-0.1) =
-0.8 + 4.1 + (-108) =
3.3 - 108 =
-104.7
someone help me on these 2 questions asap! 50 points!!
Answers
Step-by-step explanation:
earbuds
we have a 1in : 0.2in scale of drawing to reality.
0.2 = 2/10 = 1/5
so, 1in in the drawing is actually 1/5in in reality.
how long are the 4in in the drawing ?
well, 4 times the 1in thing.
4×1/5 = 4/5 = 0.8in long
again the similar triangles
similar triangles means that each pair of corresponding lines (sides, heights, ...) in the triangles follows the same scaling factor for the length.
so, what do I need to multiply the side of the large triangle with to get the corresponding side length of the small triangle ?
27 × x = 9
x = 9/27 = 1/3
and that is the scale factor.
what is the diameter of a circle that has the circumference of 400
Answers
Answer:
400/π
Step-by-step explanation:
Well, we know that the formula for circumference is πd. (d is the diameter) Then, we set up the equation 'πd = 400'. Now, simplifying for d, we get d = 200/π.
Answer:
400/π
Step-by-step explanation:
8.2 is 2% of what number
Answers
Answer:
Step-by-step explanation:
If 2% × 410 = 8.2 => Divide 8.2 by 410And see if we get as a result: 2% Note: Multiply a number by the fraction 100/100, and its value doesn't change.
Answer:
m = 410
Step-by-step explanation:
Let the number be n. Then:
8.2
--------- = 0.02
n
Cross-multiplying yields 0.02n = 8.2, from which we find n = 410
Recall that a percentage, such as 2%, is equivalent to a decimal fraction, such as
2%
-------- = 0.02
100%
If
x
=
4
and
y
=
7
, evaluate the following expression:
2
(
4
x
+
3
y
)
Answers
Answer:
expression.
2(4x+3y)
2(4(4)+3(7))
2(16+21)
2( 37)
74
40.75 in word form.
Answers
Answer:
forty and seventy-five hundredths
Step-by-step explanation:
first number with always stay the same. after decimal each number you go up a thenths place. so in this case ten, hundreths
The formula for the area of a trapezoid is A= 1/2h(b1+b2), Where h is the height and b1 and b2 are the two bases. Rewrite the formula to solve for b1 in terms of A, h, and b2.
Answers
Answer:
Correct choice: B
Step-by-step explanation:
Equation Solving
The area of a trapezoid with height h and bases b1 and b2 is given by:
We must solve this formula for h.
First, multiply by 2 to eliminate denominators:
Now, divide by b1+b2:
Swapping sides:
Correct choice: B
A woman can bicycle 78 miles in the same time as it takes her to walk 24 miles. She can ride 9 mph faster
than she can walk. How fast can she walk?
mph
Answers
Answer:
4mph
Step-by-step explanation:
The circumference (C) of a swimming pool is 47 feet. Which formula can you use to find the radius (r) if you know that C = 2πr ?
Answers
Answer:
The answer is 7.48 or 7.5
Step-by-step explanation:
If the circumference is C which is equal to 47 feet, what you have to do is divide it by pi, or 3.14 for an estimate. After that, you'll get the diameter and then divide it by 2. Now you have your radius.
NEED HELP PLS
Marques was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 32%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
Answers
Answer:
1.32
Step-by-step explanation:
1.32
For this problem, percentage can be looked at as a fraction out of 100:
The total = 100/100 or 100% and the tip of 32% is 32/100. 32/100 + 100/100 = 132/100 which equals 1.32
(This type of reasoning can be applied to pretty much all percentages, as they are basically just fractions/decimals)
What is the volume of an oblique square pyramid with base edges 25 ft and height 24ft?
A. 5,000 ft^3
B. 7,500 ft^3
C. 10,000 ft^3
D. 15,000 ft^3
Answers
Check the picture below.
Determine whether the inverse of F(x) is a function.
Answers
Find x intercept
(0, 24) (4,0)
Answers
Answer:
bt.ly/d97sjdu8 there is your answer!
Step-by-step explanation:
Answer:
x-intercept is 0
Step-by-step explanation:
(0, 24) (4,0)
(x, y)
0/4=0
Richard and Teo have a combined age of 36 Richard is 6 years older than twice Teo's age. How old are Richard and Teo?
Richard is years old, and Teo is years old.
(Type whole numbers.)
Answers
Answer:
Richard is twenty-six and Teo is ten.
Step-by-step explanation:
Let x = Richard's age and y = Teo's age
x = 2y + 6
(2y + 6) + y = 36
3y + 6 = 36
-6 -6
3y = 30
y = 10
x = 2(10) + 6
x = 20 + 6
x = 26
Richard is 26
Teo is 10
all graphs range from -10 through 10 ;)
Answers
Answer:B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
First, we want to find out what is X.3x = -6 ---> x = -2
X is -2 so we want the graph point to start at -2 and from there go down to -10.what is equation of the line shown in this graph
Answers
Since this is a horizontal line, the equation for this is simply
[tex]y = -3[/tex]
Please Help!! I can"t solve this ! Kendrick had 2/3 of an ice cream cake left. Each piece on the ice cream cake is 1/ 12 of the entire cake. How many pieces are left?
Answers
Answer:
8
Step-by-step explanation:
Work out the length x. 14cm, 7cm , right angle triangle
Answers
The given triangle is a right angled triangle. So we can use the pythagorean theorem to solve this.
Hypotenuse = 14 cm
Altitude = 7 cm
Base = x cm
Using pythagorean theorem,
Hypotenuse² = Base² + Altitude²
14² = x² + 7²
14² - 7² = x²
196 - 49 = x²
147 = x²
√147 = x
12.124 = x (approx.)
_________
Hope it helps ⚜
Simplify the expression. n+3(n−1)
Answers
Answer:
4n - 3
Step-by-step explanation:
[tex]n+3(n-1)\\n+3n-3\\4n-3[/tex]
2 (n - 1) + 47 = 2 (3n - 1)
Answers
[tex]\\ \sf\longmapsto 2(n-1)+47=2(3n-1)[/tex]
[tex]\\ \sf\longmapsto 2n-2+47=6n-2[/tex]
[tex]\\ \sf\longmapsto 2n+47=6n[/tex]
[tex]\\ \sf\longmapsto 4n=47[/tex]
[tex]\\ \sf\longmapsto n\approx 12[/tex]
Answer:
n = 11.75
Step-by-step explanation:
2(n - 1) + 47 = 2(3n - 1) Distribute the multiplier
2n - 2 + 47 = 6n - 2 Combine terms
47 = 4n divide
n = 11.75
0.45 is the result of finding the product of 3 and 12 minus a number. What is the number?
7/20
19/60
−1/60
−1/20
Answers
Answer:
The answer is 7/20
Step-by-step explanation:
This is for k-12!!
Currently taking the quiz just want to help others:)
Answer:
The answer is indeed 7/20 !!
Step-by-step explanation:
For the k12 5.17 Quiz: Model with Multistep Equations
Good luck on the rest of your quiz !!!