(b) Express the number 17
(i) in base 2
(ii) in base 5


Answers

Answer 1

Answer:

Step-by-step explanation:

IF 17 is in base 10

THEN

17₁₀ = 1 x 10¹ + 7 x 10⁰

10001₂ = 1 x 2⁴ + 0 x 2³ + 0 x 2² + 0 x 2¹ + 1 x 2⁰

32₅ = 3 x 5¹ + 2 x 5⁰


Related Questions

what is the meaning of decimal explain

Answers

Answer:

ddecimal is a fraction

Step-by-step explanation:

Oh a decimal is a fraction written in a special form

A Gardner has 1 1/4 cubic feet of soil available for filling pots. Each pot will need 2/5 cubic foot to be filled. What is the greatest number of pots that the gardener fill

Answers

The greatest number of pots that can be filled is 3.

In order to determine the greatest number of pots that can be filled, the quantity of soil available would be divided by the capacity of each pot.

Number of pots that can be filled = 1 1/4 ÷ 2/5

= 5/4  ÷ 2/5

= 5/4 x 5/2 = 25/8 = 3 1/8

Thus, the greatest number of pots that can be filled is 3.

To learn more, please check: https://brainly.com/question/194007

evaluate 6^2 - (9 divided by x) when x = 3

Answers

Answer:

33

Step-by-step explanation:

Expand the function.
f(x)
=
(2x + 3)4
16x4 +
[? ]x3
+
]x2
+
x +
IX +
х

Answers

Answer:

f(x) = 16x4 + 96x3 + 216x2 + 216x + 81

multiply
( 2 x – y ) ( 3 x + y )

Answers

Answer: 6x^2-xy-y^2.

Tell me if you want step by step!!

Hope this helped. :)

[tex](2x-y)(3x+y)\\\\=2x(3x+y) -y(3x+y)\\\\=6x^2 +2xy - 3xy -y^2\\\\=6x^2 -xy -y^2[/tex]

plsss answer my questions in the picture

Answers

Answer:

8. B

9. B

10. B

thats my answer

1.7 6/5
2.4 25/25
3.28/3
what is the lowest term?

Answers

Answer:

3.

[tex] \frac{28}{3} [/tex]

Step-by-step explanation:

number 1 equals 8 1/5

number 2 equals 5

number 3 equals 9 1/3

Janice bought 4 oranges for $3.40. what is the unit price.

Answers

You have to divide 3.40/4 and the unit price
will be 0.85
3.40 divided by 4
.85 per unit


Check answer
.85 unit x 4 = 3.40

35. In her rough work, Janu added 2389 and 740 as shown here.
Is it okay to write the number 740 this way in the addition?
(Hint: You do NOT need to calculate)
(A) Yes, because 0 has no value so 74 is the same as 740.
(B) No, because the answer will be wrong if 0 is not written.
(C) No, because the digits 7 and 4 have NOT been arranged according to their value.
(D) Yes, because 7 is added with the hundred's digit and 4 with the ten's digit.

Answers

Answer:

D

Step-by-step explanation:

The scatter plot shows the relationship between the average number of nightly customers and the number of mouths since a restaurant opened. The equation represents the linear model for this date

y = 5x + 120

what does the number 5 in the equation mean in this context?

A: There were 5 customers per night when the restaurant opened

B: The average number of costumers per night increased by 5 each month

C: The average number of customers per night decreased by 5 each month

D: The restaurant has been open for 5 months

Answers

The average amount of customers every month

5 is also the slope

When it was 70 degrees outside. 50 members showed up at a beach club. For each degree the temperature rose, another 10 members came to the beach club. Write the function, Kt), that represents the number of members at the beach club as a function of the temperature​

Answers

Answer:

what to do here I don't know sorry

...............

.

.

........

.

.

...............

A network provider investigates the load of its network. The number of concurrent users is recorded at fifty locations (thousands of people), These data are available in data set ConcurrentUsers.
17.2 22.1 18.5 17.2 18.6 14.8 21.7 24.1 13.3 16.2
17.5 19.0 23.9 14.8 13.5 15.8 13.1 16.1 21.9 23.9
19.3 15.4 16.7 19.5 16.2 16.9 17.1 20.2 19.7 18.7
17.6 15.9 15.2 17.1 15.0 15.8 16.3 22.8 22.2 21.7
20.7 12.0 19.9 19.4 13.4 19.8 17.7 18.8 21.6 11.9
(a) Compute the sample mean, variance, and standard deviation of the number of concurrent users.
(b) Estimate the standard error of the sample mean.
(c) Compute the five-point summary and construct a boxplot.
(d) Compute the interquartile range. Are there any outliers?
(e) It is reported that the number of concurrent users follows approximately Normal distribution. Does the histogram support this claim?

Answers

The answer is e ……..

Since there is no number greater or less than the above one, it doesn't contain any outlier.

The given data set is

17.2  22.1  18.5  17.2  18.6  14.8  21.7  24.1  13.3  16.2

17.5  19.0  23.9  14.8  13.5  15.8  13.1  16.1  21.9  23.9

19.3  15.4  16.7  19.5  16.2  16.9  17.1  20.2  19.7  18.7

17.6  15.9  15.2  17.1  15.0  15.8  16.3  22.8  22.2  21.7

20.7  12.0  19.9  19.4  13.4  19.8  17.7  18.8  21.6  11.9

What is variance?

The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set. The more spread the data, the larger the variance is in relation to the mean.

(a) Sample Mean = The Sum of the given terms/Number of terms

So, sample mean as µ=17.954

Variance can be denoted by [tex]s^2= \frac{1}{50-1} \Sigma_{n=1} (x_{i}-19.954)^2[/tex]

=9.97

Standard deviation s=√9.97

=3.16

b) The standard error can be denoted by:

s/√n-1 = 3.16/√49

=0.45

c) For the given data,

The value of the least sample number =12.0

The value of the greatest number in sample=24.1

So, Q1=15.83

Median =17.75

Q3=19.88

d) The IQ range would be as follows:

Q3-Q1=19.88-17.75

=4.05

The outlier must be greater than 19.88+1.5(4.05)=25.96 or less than 15.83+1.5(4.05)=9.76.

Since there is no number greater or less than the above one, it doesn't contain any outlier.

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solve pls brainliest

Answers

Answer:

-1, -24

Step-by-step explanation:

-9-(-8)

double negative = positive

-9+8=-1

21-45=-24

help me due today it is math

Answers

Yes I need to know and find the digit that makes 1258 divisible by 9

Answer:

2

Step-by-step explanation:

sum of digits=1+2+5+8=16

smallest term to be added to make it divisible by 9 is 2

∵16+2=18÷9=2

how do you find a missing fraction of a pie chart? (:​

Answers

Answer:

Pasend pic

Step-by-step explanation:

Para I answer ko

If 16^x=13. what is the value of 2^2x+1

Answers

[tex]16^x=13\implies (2^4)^x=13\implies ((2^2)^2)^x=13\implies ((4)^2)^x=13 \\\\\\ 4^{2\cdot x}=13\implies 4^{x\cdot 2}=13\implies \left[4^x \right]^2=13\implies \boxed{4^x}=\sqrt{13} \\\\[-0.35em] ~\dotfill\\\\ 2^{2x+1}\implies 2^{2x}\cdot 2^1\implies (2^2)^x\cdot 2\implies 4^x\cdot 2\implies \boxed{\sqrt{13}}\cdot 2\implies 2\sqrt{13}[/tex]

help please!!!!!!!!!!!​

Answers

Answer:

  1/(xy)³

Step-by-step explanation:

The applicable rule of exponents is ...

  a^-b = 1/a^b

_____

  [tex](x\cdot y)^{-3}=\boxed{\dfrac{1}{(x\cdot y)^3}}[/tex]

What is the value of k? M 1150 Y Z (4k + 5) (6k + 10) X

I need help ASAP​

Answers

Check the picture below.

He has a new 0.85-ounce tube of toothpaste that’s supposed to last him the whole trip. The amount of toothpaste Ken squeezes out of the tube each time he brushes varies according to a Normal distribution with mean 0.13 ounces and standard deviation 0.02 ounces.

Answers

Using the normal distribution, it is found that there is a 0.8888 = 88.88% probability that his tube last the whole trip.

In a normal distribution 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]

It 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. For n instances of a normal variable, the mean is [tex]n\mu[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]

In this problem:

For each time he brushes his teeth, the mean is of 0.13 ounces and the standard deviation is of 0.02 ounces, hence [tex]\mu = 0.13, \sigma = 0.2[/tex]He will brush his teeth 6 times, hence [tex]n = 6, n\mu = 6(0.13) = 0.79, s = 0.2\sqrt{6}[/tex]

The probability that his tube last the whole trip is the p-value of Z when X = 0.85, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Considering the n instances

[tex]Z = \frac{X - n\mu}{s}[/tex]

[tex]Z = \frac{0.85 - 0.79}{0.2\sqrt{6}}[/tex]

[tex]Z = 1.22[/tex]

[tex]Z = 1.22[/tex] has a p-value of 0.8888.

0.8888 = 88.88% probability that his tube last the whole trip.

A similar problem is given at https://brainly.com/question/24663213

work out the value of 10²-4³ give ypur answer as a power of 6​

Answers

Answer: 36

Step-by-step explanation: 10^2 is 100 and 4^3 is 64, and 100-64=36

Please answer number 8

Answers

Answer:

d q knows

Step-by-step explanation:

sory need points

A 19 -ft ladder leans against a building so that the angle between the ground and the ladder is 81 ∘. How high does the ladder reach on the building? ft

Answers

Answer:

18.77 ft

Step-by-step explanation:

use SOHCAHTOA

The ladder is a side, which is opposite to the angle. The ladder's side is also the hypotenuse of the triangle, so use sin.

sin(81) * 19 = 18.77 ft

1. A line that passes through the
points (4,1) and (8,3)

Answers

Answer:

If they want the slope, it is 4/2

Step-by-step explanation:

help me due today might need more help in a minute but yk help me which one is it A B C D or E

Answers

Answer:

Option B is correct.

Step-by-step explanation:

c - 2.5 = 0

=> c = 0 + 2.5

=> c = 2.5

Therefore, c = 2.5 is our answer.

Hoped this helped.

Answer:

B-2.5

Step-by-step explanation: add 2.5 to both sides of the equation to get c=2.5

Ben participated in a diving competition from a platform 25 feet above the
water. Ben's height above the water in feet can be modeled by the
quadratic function f(t) = - + + 5t + 25 where t represents time in
seconds. During which time interval did the height of Ben's trajectory
increase?
=

Answers

The height of the springboard above the water should be h(0)

Consider The Giant Wheel at Cedar Point again. The Giant Wheel is a circle with diameter 128 feet which sits on an 8 foot tall platform making its overall height 136 feet.
It completes two revolutions in 2 minutes and 7 seconds. Assuming that the riders are at the edge of the circle, find a sinusoid which describes the height of the passengers above the ground t seconds after they pass the point on the wheel closest to the ground.

Answers

Answer:

     h(t) = 72 + 64·sin(2π(t -31.75)/127)

Step-by-step explanation:

The generic form will be ...

  h(t) = a +b·sin(c(t -d))

The value of 'a' is the midline of the height function, halfway between the minimum (8) and the maximum (136).

  a = (8 +136)/2 = 144/2 = 72

The value of 'b' is the amplitude of the height function, half the difference between the minimum and the maximum.

  b = (136 -8)/2 = 128/2 = 64

The value of 'c' is the frequency of the motion in radians per second. It will be ...

  c = 2π/(period in seconds) = 2π/127

The value of 'd' is the number of seconds from the minimum (8 ft) until the wheel first reaches the midline. It will be 1/4 of the revolution time:

  d = 127/4 = 31.75

Then our finished sinusoidal function is ...

     h(t) = 72 + 64·sin(2π(t -31.75)/127)

_____

Additional comment

If we were to use the cosine function instead, the equation could be simpler:

  h(t) = 72 -64·cos(2πt/127)

The cosine already starts at its maximum value, so height will be at a minimum if we use the negative of the cosine function.

Is 2:4 and 3:8 proportion or not?

Answers

Answer:

No

Step-by-step explanation:

While these values are close, they are not equal, so I know the original fractions cannot be proportional to each other. So my answer is: The fractions are not

A pennant flag that is 2 inches high with a base of 1.5 inches has an area of 1.5 square inches. The
area of a triangle varies jointly with the base and height. Find the area of a flag whose base
measures 2 inches and height is 2.5 inches.

Answers

Answer:

2.5 sq. inches

Step-by-step explanation:

Explanation is given in the pic attached.

Area of triangle= 1/2* base* height

Hope this helps!

The area of the flag when the base is 2 inches and the height is 2.5 inches is 2.5 square inches

From the question, we understand that the area (A) of the flag varies jointly with the base (B) and the height (H)

This variation is represented as:

[tex]\mathbf{A\ \alpha\ B \times H}[/tex]

So, we have:

[tex]\mathbf{A\ \alpha\ BH}[/tex]

Express as an equation

[tex]\mathbf{A\ =k BH}[/tex]

When the area is 1.5 square inches, the base is 1.5 inches and the height is 2 inches, we have:

[tex]\mathbf{A\ =k BH}[/tex]

This gives

[tex]\mathbf{1.5\ =k \times 1.5 \times 2}[/tex]

[tex]\mathbf{1.5\ =k \times 3}[/tex]

Divide both sides by 3

[tex]\mathbf{\frac 12 =k }[/tex]

Rewrite as:

[tex]\mathbf{k = \frac 12}[/tex]

When the base is 2 inches and the height is 2.5 inches, we have:

[tex]\mathbf{A\ =k BH}[/tex]

This gives

[tex]\mathbf{A = \frac 12 \times 2 \times 2.5}[/tex]

[tex]\mathbf{A = 2.5}[/tex]

Hence, the area of the flag is 2.5 square inches

Read more about variations at:

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Simplify the expression 2.1(3.7 +5.7u) using the Distributive Property.
PLEASE HELP! :(​

Answers

Answer:

7.77+11.97u

Step-by-step explanation:

2.1(3.7+5.7u)=7.77+11.97u

What is the value of x in the diagram below? 49 14 2 O A. 7 OB. 8 O C. 9 D. 6​

Answers

Answer:

just answered

Step-by-step explanation:

The value of x in the given diagram is 7 because the two triangles are similar

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

The given two triangle are similar

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Let us form a proportional equation to find x

49/x=14/2

49/x=7

49/7=x

We get x=7

Hence, the value of x in the given diagram is 7 because the two triangles are similar

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