d)
In decimal system, 10 - 4 = 6. Write the binary equivalent of the
difference equation.
​

Answer:

Step-by-step explanation:

The one that looks most closely to this.

(3b + 2r) + (4b + r)                 Remove the brackets.

3b + 2r + 4b + r                     Rewrite so the terms are close to each other.

3b + 4b + 2r + r                     Combine

7b + 3r    or

3r + 7b

One of the two of these can be given as an answer. Please give choices if you want me to give an exact answer.

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 7b + 3r}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

[tex] \: (3b + 2r) + (4b + r)[/tex]

➼[tex] \: 3b + 2r + 4b + r[/tex]

Combining like terms, we have

➼[tex] \: 3b + 4b + 2r + r[/tex]

➼[tex] \: 7b + 3r[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

x ≥0

Step-by-step explanation:

Given the product:

√(5x)*√(x+3)

The function has to be defined if x ≥0

Hence;

√(5x)*√(x+3)≥0

Find the product

√(5x)(x+3)≥0

Square both sides

(5x)(x+3)≥0

5x≥0 and x+3≥0

x≥0/5 and x ≥0 - 3

x ≥0 and x ≥-3

Hence the required inequality is x ≥0

Math makes everything easier without math people would be sitting there all day wondering about simple things like money and how many eggs are in a carton

Answer:

24n + 8 = 0

Step-by-step explanation:

Let the unknown number be n.

From the question, we can deduce the following points;

- product of 24 and a number = 24 * n

- eight more than the above calculation = 24n + 8

Therefore, translating the word problem into an algebraic expression, we have;

(24 * n) + 8 = 0

24n + 8 = 0

Simplifying further, we have;

24n = -8

n = -8/24

n = -1/3

Answer:

16 ft³

Step-by-step explanation:

Volume of a pyramid = [tex] \frac{1}{3} [/tex]× base area × height

Volume

[tex] = \frac{1}{3} \times (4 \times 3) \times 4[/tex]

[tex] = \frac{1}{3} \times 12 \times 4[/tex]

= 16 ft³

Answer:

A) 8.5 miles per gallon

Step-by-step explanation:

Given

[tex]x = \{12\ 13\ 15\ 16\ 16\ 17\ 18\ 18\ 19\ 19\ 20\ 20\ 22\ 23\ 24\ 26\ 26\ 27\ 27\ 29\}[/tex]

[tex]n = 20[/tex]

Required

The IQR

This is calculated as:

[tex]IQR = Q_3 - Q_1[/tex]

Calculate [tex]Q_1[/tex]

[tex]Q_1 = \frac{1}{4}(n + 1)th[/tex]

[tex]Q_1 = \frac{1}{4}(20 + 1)th[/tex]

[tex]Q_1 = \frac{1}{4}(21)th[/tex]

Remove bracket

[tex]Q_1 = 5.25th[/tex]

This means that:

[tex]Q_1[/tex] is the mean of 5th and 6th item

From the given data:

[tex]5th \to 16[/tex]

[tex]6th \to 17[/tex]

So, we have:

[tex]Q_1 = \frac{1}{2}(16 + 17)[/tex]

[tex]Q_1 = \frac{1}{2}(33)[/tex]

[tex]Q_1 = 16.5[/tex]

[tex]Q_1 = 16.25[/tex]

Calculate [tex]Q_3[/tex]

[tex]Q_3 = \frac{3}{4}(n + 1)th[/tex]

[tex]Q_3 = \frac{3}{4}(20 + 1)th[/tex]

[tex]Q_3 = \frac{3}{4}(21)th[/tex]

Remove bracket

[tex]Q_3 = 15.75th[/tex]

This means that:

[tex]Q_3[/tex] is the mean of 15th and 16th item

From the data:

[tex]15th \to 24[/tex]

[tex]16th \to 26[/tex]

So:

[tex]Q_3 = \frac{1}{2}(24 + 26)[/tex]

[tex]Q_3 = \frac{1}{2}(50)[/tex]

[tex]Q_3 = 25[/tex]

Recall that:

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 25 -16.5[/tex]

[tex]IQR = 8.5[/tex]

Answer:

i don't know 241 I think sorry

Answer:

150°

Step-by-step explanation:

M = 58° + 92° (ext angles of a triangle)

M= 150°

Answer:

92+58=1

1=150

measure of angle1 is 150

Answer:

A

Step-by-step explanation:

56, 50, 47, 55, 50, 51, 55, 45, 55, 49, 45, 44.

Put in order from smallest to largest

44,45,45,47, 49, 50,  50, 51, 55, 55, 55, 56,

The left side of the box plot is 44,

The right side of the box plot his 56

This eliminates C and D

The median is 12/2 = 6

44,45,45,47, 49, 50,        50, 51, 55, 55, 55, 56,

Take the 6 and the 7th terms and average

(50+50)/2 = 50

This is the line in the middle of the box

This eliminates B

9514 1404 393

Answer:

  (d)  4/3125

Step-by-step explanation:

The first term is 100 and the common ratio is 20/100 = 1/5. The explicit formula for terms of a geometric sequence is ...

  an = a1·r^(n-1)

  an = 100·(1/5)^(n-1)

Then the 8th term is ...

  a8 = 100 ·(1/5)^(8-1) = 100·5^(-7) = 4/3125

Answer:

[tex]d. \: \frac{4}{3125} [/tex]

Step-by-step explanation:

Answer:

0.8665 = 86.65% probability that the sample proportion of Democrats will be greater than 52%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Suppose 54% of the registered voters in a country are Democrats. Sample of 770.

This means that:

[tex]p = 0.54, s = \sqrt{\frac{0.54*0.46}{770}} = 0.01796[/tex]

What is the probability that the sample proportion of Democrats will be greater than 52%?

This is 1 subtracted by the p-value of Z when X = 0.52. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.52 - 0.54}{0.01796}[/tex]

[tex]Z = -1.11[/tex]

[tex]Z = -1.11[/tex] has a p-value of 0.1335

1 - 0.1335 = 0.8665

0.8665 = 86.65% probability that the sample proportion of Democrats will be greater than 52%.

Answer:

5

Step-by-step explanation:

Answer:

They will have the same volume

Step-by-step explanation:

Given the rectangular prisms above :

Prism 1 dimension = (3 * 1 1/2 * 2 1/2) inches

Prism 2 dimension = (2 1/2 * 3 * 1 1/2) inches

Recall; Volume of a rectangular prism is :

V = length * width * height

Prism 1 :

V = (3 * 1 1/2 * 2 1/2) = 11.25 in³

Prism 2 :

V = (2 1/2 * 3 * 1 1/2) = 11.25 in³

Hence, Volume of prism will be the same

Answer:

See image below:)

Step-by-step explanation:

Answer:

[tex]y=2\frac{1}{7}[/tex]

Step-by-step explanation:

(y · 7) - 4 = 11

7y - 4 = 11

7y - 4 + 4 = 11 + 4

7y = 15

7y ÷ 7 = 15 ÷ 7

[tex]y=2\frac{1}{7}[/tex]

Answer:

195 mL of the 90% solution

Step-by-step explanation:

Let the number of mL of 90% mixture = x

Hence, our equation is

780mL × 15% + x mL × 90% = (780mL + x) 30%

117 + 0.9x = 234 + 0.3x

Collect like terms

0.9x - 0.3x = 234 - 117

0.6x = 117

x = 117/0.6

x = 195 mL

Therefore, You will need 195 mL of the 90% solution

Answer: 12x^ 3 + 22x^ 2 +26x + 9

Answer:

See attachment for circle

Step-by-step explanation:

Given

[tex](x -5)^2 + (y + 10)^2 = 6^2[/tex]

Required

Draw and label the circle

The equation of a circle is:

[tex](x -a)^2 + (y - b)^2 = r^2[/tex]

Where:

[tex]Center = (a,b)[/tex]

[tex]Radius = r[/tex]

So, we have:

[tex]Center = (5,-10)[/tex]

[tex]Radius = 6[/tex]

See attachment for circle

Answer:

[tex]x = \frac{205}{3}[/tex]

[tex]y =\frac{195}{4}[/tex]

Step-by-step explanation:

Given

[tex]p = 410[/tex] --- perimeter

See attachment for fence

Required

x and y

The perimeter of the fence is:

[tex]p = 2(x + y +5 + y) +x[/tex]

Open bracket

[tex]p = 2x + 2y +10 + 2y +x[/tex]

Collect like terms

[tex]p = 2x+x + 2y + 2y+10[/tex]

[tex]p = 3x + 4y+10[/tex]

Substitute: [tex]p = 410[/tex]

[tex]3x + 4y+10 =410[/tex]

Make 4y the subject

[tex]4y =410-10-3x[/tex]

[tex]4y =400-3x[/tex]

Make y the subject

[tex]y =\frac{400-3x}{4}[/tex]

The area (A) of the fence is:

[tex]A = (y + y + 5) * x[/tex]

[tex]A = (2y + 5) * x[/tex]

Substitute: [tex]y =\frac{400-3x}{4}[/tex]

[tex]A = (2*\frac{400-3x}{4} + 5) * x[/tex]

[tex]A = (\frac{400-3x}{2} + 5) * x[/tex]

Take LCM

[tex]A = (\frac{400-3x+10}{2}) * x[/tex]

Solve like terms

[tex]A = (\frac{410-3x}{2}) * x[/tex]

Open bracket

[tex]A = \frac{410x-3x^2}{2}[/tex]

Remove fraction

[tex]A = 205x-1.5x^2[/tex]

Differentiate both sides

[tex]A' = 205 - 3x[/tex]

To maximize; set [tex]A' =0[/tex]

[tex]205 - 3x =0[/tex]

Solve for 3x

[tex]3x = 205[/tex]

Solve for x

[tex]x = \frac{205}{3}[/tex]

Recall that: [tex]y =\frac{400-3x}{4}[/tex]

So, we have:

[tex]y =\frac{400-3*205/3}{4}[/tex]

[tex]y =\frac{400-205}{4}[/tex]

[tex]y =\frac{195}{4}[/tex]

Answer:

31.4

Step-by-step explanation

I think

Answer:

Denver, Colorado is 0.98 miles above sea level

Step-by-step explanation:

There are 5280 feet in one mile. 5183/5280=0.98, rounding to the nearest hundredth.

So, Denver, Colorado is 0.98 miles above sea level, or 49/50 of a mile.

Answer:

5y345

Step-by-step explanation:

i did it before

Answer:

I would love to help what would be the first question

The 1 in y = 1/7x+1, is the y-intercept. Its coordinates are (0,1). 1/7 means you are going up 1 and to the right 7, since it's positive.

On a graph, it looks like the graph above.

Answer:

m, n and p

Step-by-step explanation:

Given

[tex]2m^2 + 3mn + 4p[/tex]

Required

List out the variables

Literally, the variables are the alphabets in the expression

And they are:

m, n and p