If sin 49° is approximately 3/4, which is closest to the length of the of NO ?

Options
25 m
66 m
75 m
80 m

Answer:

B. y = 3x - 14

Answer:

8. 8/9 is not the multiplicative inverse of –1⅛

9. 0.3 is the multiplicative inverse of 3⅓

Step-by-step explanation:

To answer the above questions, we must understand the meaning of multiplicative inverse. This is illustrated below:

Let y be the number.

The multiplicative inverse of y denoted by y¯¹ (or 1/y) when multiplied with y will give an identity of 1 i.e

y × y¯¹ = 1

Or

y × 1/y = 1

Now, let us answer the questions given above by calculating the multiplicative inverse.

8. The number (y) = –1⅛ = –9/8

Multiplicative inverse (y¯¹) =?

y × y¯¹ = 1

–9/8 × y¯¹ = 1

Divide both side by –9/8

y¯¹ = 1 ÷ –9/8

y¯¹ = 1 × –8/9

y¯¹ = –8/9

Thus, 8/9 is not the multiplicative inverse of –1⅛

9. The number (y) = 3⅓ = 10/3

Multiplicative inverse (y¯¹) =?

y × y¯¹ = 1

10/3 × y¯¹ = 1

Divide both side by 10/3

y¯¹ = 1 ÷ 10/3

y¯¹ = 1 × 3/10

y¯¹ = 3/10

y¯¹ = 0.3

Thus, 0.3 is the multiplicative inverse of 3⅓.

Answer:

x = 9

Step-by-step explanation:

The line splits the sides of the triangle in proportion (the ratios of the pieces is the same for both sides).

Setup:

[tex]\frac{8}{3x+1}=\frac{2}{x-2}[/tex]

"Cross multiply."

[tex]2(3x+1)=8(x-2)\\6x+2=8x-16\\18=2x\\9=x[/tex]

Answer:

12.94

Step-by-step explanation:

5.75x125%=7.19

7.19+5.75=12.94

Answer:

X = 33.3 percent

Step-by-step explanation:

Answer:

5ft

Step-by-step explanation:

r = √v/πh

plug in known values

r= √628/ (3.14) 8

simplify

r= √628/ 25.12

r= √25

r = 5ft

Answer:

C

Step-by-step explanation:

Hope this help and have a nice day

Answer:

3$

Step-by-step explanation:

To find percentage on a discount like this all you have to do is multiply the pre-discount number by your discount percentage.

So all you have to do is:

15 x 0.20

which gives you an answer of 3.

Thus the post-discount amount is $3.

Answer:

15 minutes and 52 seconds

Step-by-step explanation:

Well you jsut gotta subtract the two times

I would put them liek this

1:39:4

-1:23:12

Since the last part is un doable just add the minute into the seconds and take off a minute

1:38:64

-1:23:12

You’d get if solved correctly, 15 minutes and 52 seconds

Answer:

120

Step-by-step explanation:

number of hours sold = fraction of houses sold this year x number of houses built last year

4/7 x 210 = 120 houses

Answer:

345 calories

Step-by-step explanation:

The easiest way to do this is to find out how many calories there are for 1 ounce. So 230 divided by 4, equals 57.5. So if 57.5 calories are in one ounce, then you just multiply by 6 to get your answer.

57.5 x 6 = 345 calories

Answer:

30

Step-by-step explanation:

I think that's the answer but if I'm wrong tell me right away I'll try another method.

Answer:

?

Step-by-step explanation:

Answer:

76+2x=90

2x=90-76

2x=14

x=14/2

x=7

Answer: 7 miles

Step-by-step explanation:

The points for Tom's house (4, 2) and the store (-3, 2) are on the same level; they are on the same horizontal line 2 units above the x-axis.

The distance between the points is therefor the difference between the x coordinates.

4 - (-3) = 7

You can also just count the spaces between the points!

Answer:

[tex]a_{20} = 1/1048576[/tex]

Step-by-step explanation:

Given

[tex]Sequence: -1/2;1/4;-1/8;1/16[/tex]

Required

Determine [tex]a_{20[/tex]

Since it is a geometric sequence, first we need to calculate the common ratio (r)

[tex]r = \frac{a_2}{a_1}[/tex]

From the sequence:

[tex]a_2 = 1/4[/tex]

[tex]a_1 = -1/2[/tex]

[tex]a_1[/tex] is the same as [tex]a[/tex]

So:

[tex]r = \frac{a_2}{a_1}[/tex]

[tex]r = \frac{1/4}{-1/2}[/tex]

[tex]r = -1/2[/tex]

[tex]a_{20[/tex] is then calculated as:

[tex]a_n = ar^{n-1}[/tex]

Where

[tex]n = 20[/tex]

[tex]a_{20} = ar^{20-1}[/tex]

[tex]a_{20} = ar^{19}[/tex]

[tex]a_{20} = (-1/2) * (-1/2)^{19}[/tex]

Apply law of indices

[tex]a_{20} = (-1/2)^{1+19}[/tex]

[tex]a_{20} = (-1/2)^{20}[/tex]

Evaluate the exponent

[tex]a_{20} = 1/1048576[/tex]

Answer:22

Step-by-step explanation:

Answer:

$14.20

Step-by-step explanation:

$42.60 ÷ 3

$14.20

Answer:

The distance is 5.4.

Step-by-step explanation:

Hope this helps!! Have an Amazing day!!

Answer:

5.385

Step-by-step explanation:

Use the distance formula with (-6,2) (-4,7)

[tex]\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2 }[/tex]

[tex]\sqrt{(-4--6)^2 + (7-2)^2 }[/tex]

[tex]\sqrt{(2^2) + (5^2)}[/tex]

[tex]\sqrt{4+25}[/tex]

[tex]\sqrt{29}[/tex]

= 5.385

Answer:

The first one is D and the second one is B

Step-by-step explanation:

The first is D because the volume of a cylinder is v = π (pi) times the radius squared times the height of the cylinder.

so (π)(16^2)(7) =5629.73 ft^3

Then 1 ft^3 is = 7.5 gallons of water, so you multiple 5629.73 by 7.5 and round. Which gets you 42223

Given:

[tex]a_n=a_{n-1}+3[/tex]

[tex]a_0=2[/tex]

To find:

The values [tex]a_1,a_2,a_3[/tex].

Solution:

We have,

[tex]a_n=a_{n-1}+3[/tex]

For [tex]n=1[/tex],

[tex]a_1=a_{1-1}+3[/tex]

[tex]a_1=a_{0}+3[/tex]

[tex]a_1=2+3[/tex]

[tex]a_1=5[/tex]

For [tex]n=2[/tex],

[tex]a_2=a_{2-1}+3[/tex]

[tex]a_2=a_{1}+3[/tex]

[tex]a_2=5+3[/tex]

[tex]a_2=8[/tex]

For [tex]n=3[/tex],

[tex]a_3=a_{3-1}+3[/tex]

[tex]a_3=a_{2}+3[/tex]

[tex]a_3=8+3[/tex]

[tex]a_3=11[/tex]

Therefore, [tex]a_1=5,a_2=8,a_3=11[/tex].

The value of [tex]\rm a_1=5[/tex], [tex]\rm a_2=8[/tex], and [tex]\rm a_3=11[/tex] and this can be determined by using the arithmetic operations and the given data.

Given :

Let {an} be a sequence that satisfies the recurrence relation [tex]\rm a_n=a_{n-1}+3[/tex] for n = 1, 2, 3,... and suppose that [tex]\rm a_0=2[/tex].

According to the given data, the recurrence relation is given below:

[tex]\rm a_n=a_{n-1}+3[/tex]   --- (1)

Now, substitute the value of (n = 1) in the above expression.

[tex]\rm a_1=a_{1-1}+3[/tex]

[tex]\rm a_1=a_{0}+3[/tex]           (put [tex]\rm a_0=2[/tex])

[tex]\rm a_1=2+3[/tex]

[tex]\rm a_1=5[/tex]

Now, substitute the value of (n = 2) in the expression (1).

[tex]\rm a_2=a_{2-1}+3[/tex]

[tex]\rm a_2=a_{1}+3[/tex]           (put [tex]\rm a_1=5[/tex])

[tex]\rm a_2=5+3[/tex]

[tex]\rm a_2=8[/tex]

Now, substitute the value of (n = 3) in the expression (1).

[tex]\rm a_3=a_{3-1}+3[/tex]

[tex]\rm a_3=a_{2}+3[/tex]           (put [tex]\rm a_2=8[/tex])

[tex]\rm a_3=8+3[/tex]

[tex]\rm a_3=11[/tex]

For more information, refer to the link given below:

https://brainly.com/question/10168678

Answer:

-4,0

Step-by-step explanation:

Answer:

a. Above 337.8 grams.

b. Between 318.25 grams and 331.75 grams.

c. Above 316.59 grams.

d. Below 312.2 grams

Step-by-step explanation:

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.

Mean of 325 grams and a standard deviation of 10 grams.

This means that [tex]\mu = 325, \sigma = 10[/tex]

a. Highest 10 percent

This is X when Z has a pvalue of 1 - 0.1 = 0.9, so X when Z = 1.28.

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

[tex]1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 10*1.28[/tex]

[tex]X = 337.8[/tex]

So 337.8 grams.

b. Middle 50 percent

Between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile.

25th percentile:

X when Z has a pvalue of 0.25, so X when Z = -0.675.

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

[tex]-0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.675*10[/tex]

[tex]X = 318.25[/tex]

75th percentile:

X when Z has a pvalue of 0.75, so X when Z = 0.675.

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

[tex]0.675 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = 0.675*10[/tex]

[tex]X = 331.75[/tex]

Between 318.25 grams and 331.75 grams.

c. Highest 80 percent

Above the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.841.

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

[tex]-0.841 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -0.841*10[/tex]

[tex]X = 316.59[/tex]

Above 316.59 grams.

d. Lowest 10 percent

Below the 10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.

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

[tex]-1.28 = \frac{X - 325}{10}[/tex]

[tex]X - 325 = -1.28*10[/tex]

[tex]X = 312.2[/tex]

Below 312.2 grams

Answer:hey besties

Step-by-step explanation:

Pew pew

Answer:

$9.60 for 1 hour

The unit rate is $9.60

Step-by-step explanation:

Answer:

The answer is

1375ft3

Step-by-step explanation:

Answer:

It is a decreasing function for 0 < b < 1.

Step-by-step explanation:

Logarithm function:

The logarithm function is given by:

[tex]F(x) = \log_{b}{(x)}[/tex]

The base b determines if the function increases or decreases.

For 0 < b < 1, the function decreases.

For b > 1, the function increases.

In this question:

By the definition above, it is a decreasing function for 0 < b < 1.