I need help plz

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

The equation of a line is given by the equation;

From the given graph, the intercept on y-axis is 7.

To find the slope, we would make use of the slope formula given as:

From the graph, we have:

Hence, the equation of the line is:

Answer:

3\(\sqrt{2}\)

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

Simplify the given radicals

\(\sqrt{50}\)

= \(\sqrt{25(2)}\)

= \(\sqrt{25}\) × \(\sqrt{2}\)

= 5\(\sqrt{2}\)

------------------------

\(\sqrt{72}\)

= \(\sqrt{36(2)}\)

= \(\sqrt{36}\) × \(\sqrt{2}\)

= 6\(\sqrt{2}\)

-----------------------

\(\sqrt{128}\)

= \(\sqrt{64(2)}\)

= \(\sqrt{64}\) × \(\sqrt{2}\)

= 8\(\sqrt{2}\)

Then

\(\sqrt{50}\) + \(\sqrt{72}\) - \(\sqrt{128}\)

= 5\(\sqrt{2}\) + 6\(\sqrt{2}\) - 8\(\sqrt{2}\)

= 11\(\sqrt{2}\) - 8\(\sqrt{2}\)

= 3\(\sqrt{2}\)

Critical value used to test the claim that the mean number of restaurant employees is less than 15 at the 1% significance level is - 2.431

The square root of the variance is used to calculate the standard deviation, a statistic that gauges a dataset's dispersion from its mean. The variation from the mean of each data point is used to determine the standard deviation, which is equal to the square root of variance.

It is basically the average of the given numbers.

The given data is

Sample Size = n = 38

Sample mean = X = 12.6

Sample Standard deviation = S = 2.4

= n - 1 = 38 - 1 = 37

μ₀ = μ ≥ 15

μ₁ = μ < 15 ( left tailed )

d = 0.01

Hence, Critical value = - 2,431

To learn more about Statistics, Visit :

https://brainly.com/question/29342780

#SPJ4

Answer:

the first one.

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

222

The value of k in the given functions is; 24

We are given the functions;

g(x) = 4x  + k as a tangent to f(x) = -x² +8x +20

For f(x) = -x² +8x +20

=> f'(x)  = -2x + 8

Thus, slope of tangent at ( x , y) = -2x + 8  

For g(x) = 4x  + k

g'(x) = 4.

Thus, slope is 4

Therefore;

-2x  + 8 = 4

-2x = -4

x = 2

Putting 2 for x in f(x) gives;

f(2) = -2² + 8(2) + 20  

f(2) =  32

Thus, it is at (2 , 32)

Thus, (2 , 32) lies on g(x) = 4x + k

4(2) + k = 32

k = 32 - 8

k = 24

Read more about slope of tangent at; https://brainly.com/question/6353432

Answer:

h=12 in

Step-by-step explanation:

volume of cube=1/3πr²h

113.04=1/3×3.14×3²×h

h=113.04/(3.14×3)=37.68/3.14=12 in.

Answer:

12 in

Step-by-step explanation:

It's right

Answer:

\(7( - 7 + 6m) + 9\)

Given a ray passing through a line at an angle of 29 degrees, the angle opposite to it (angle R) can be found by subtracting 29 degrees from 180 degrees. Therefore, the value of angle R is 151 degrees.

We are given that a ray passes through a line, making an angle of 29 degrees with the line. Let us represent this situation as follows

The angle R represents the angle opposite to the angle of 29 degrees. Since the ray and the line form a straight line, their angles add up to 180 degrees. Therefore, we can write

angle R + 29 degrees = 180 degrees

To solve for angle R, we can subtract 29 degrees from both sides of the equation

angle R = 180 degrees - 29 degrees

Simplifying the expression, we get

angle R = 151 degrees

Therefore, the value of angle R is 151 degrees.

To know more about straight line:

https://brainly.com/question/29320496

#SPJ1

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

For more such questions on final cost

https://brainly.com/question/29509552

#SPJ8

Answer:

The last option, 10 is correct

Step-by-step explanation:

f(x) = 3x^2 - 4

f(2) = 3(2)^2 - 4

f(2) = 12 - 4

f(2) = 8

g(x) = 2x - 6

g(8) = 2(8) - 6

g(8) = 16 - 6

g(8) = 10

This means that g(f(2)) is equal to 10

Answer:

Its 10 or D

Step-by-step explanation:

The measure of the mid - segment is 53 .

Given :

the measures of the bases of a trapezoid are 35 and 71.

What is trapezoid ?

A trapezoid is a four-sided shape which has one pair of sides as parallel. It is basically a two-dimensional shape or figure similar to a square etc .

Mid segment :

A mid segment of a trapezoid is the line segment connecting the midpoints of the two non-parallel sides of a trapezoid.

A trapezoid mid segment is parallel to the set of parallel lines in a trapezoid and is equal to the average of the lengths of the bases.

Measure of mid segment = sum of two bases / 2

= 35 + 71 / 2

= 106 / 2

= 53

Learn more about the measure here:

https://brainly.com/question/12020266

#SPJ4

Answer:

(0,5.8)

Step-by-step explanation:

The point on the number line which represents the approximate volume of the cone is 38.

A cone is a figure in three dimensional geometry for which it has a circular base and the plane formed by set of all the points on the base connected to a point called vertex which is not located on the base.

Volume of a cone = \(\frac{1}{3}\) π r² h, where r is the radius, h is the height of the cone and π is the pi constant with value 3.14.

Here, r = 3 units and h = 4 units.

Volume =  \(\frac{1}{3}\) π r² h

             =  \(\frac{1}{3}\) × 3.14 × 3² × 4

             = 37.68 unit³

             ≈ 38 units³

Hence the point 38 on the number line represents the approximate volume of the cone.

Learn more about Cone here :

https://brainly.com/question/16394302

#SPJ1

Answer:

38-- the dot close to 40

Step-by-step explanation:

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

Know more about factorialhere:

https://brainly.com/question/18270920

#SPJ11

Answer:

\(A = 4x^2 + 86x + 450\)

Step-by-step explanation:

Given

\(Walkway = x\)

\(Length = 18\)

\(Width = 25\)

Required:

The area of the swimming pool

Assume the walkway will be on the 4 sides of the swimming pool.

The total length (L) of the swimming pool will be:

\(L = 18 + x + x\)

\(L = 18 + 2x\)

The total width (W) will be:

\(W = 25 + x + x\)

\(W = 25 + 2x\)

The area (A) is:

\(A = L * W\)

\(A = (18 + 2x) * (25 + 2x)\)

Expand bracket

\(A = 18 * 25 + 18 * 2x + 25 * 2x + 2x * 2x\)

\(A = 450 + 36x + 50x + 4x^2\)

\(A = 450 + 86x + 4x^2\)

Reorder

\(A = 4x^2 + 86x + 450\)

Approximately 95.44% of newborn babies would have weights between 5.1 pounds and 9.9 pounds.

To find the Percentage of newborn babies with weights between 5.1 pounds and 9.9 pounds, we can use the z-score formula and the z-score table.

Given:

x₁ = 5.1 pounds

μ = 7.5 pounds

σ = 1.2 pounds

Calculating the z-scores:

z₁ = (x₁ - μ) / σ

z₁ = (5.1 - 7.5) / 1.2

z₁ = -2.0

x₂ = 9.9 pounds

z₂ = (x₂ - μ) / σ

z₂ = (9.9 - 7.5) / 1.2

z₂ = 2.0

Using the z-score table, we can find the probabilities associated with these z-scores.

The z-score of -2.0 corresponds to a probability of 0.0228, and the

z-score of 2.0 corresponds to a probability of 0.9772.

To find the percentage of newborn babies with weights between 5.1 pounds and 9.9 pounds, we subtract the probability of 5.1 pounds and less from the probability of 9.9 pounds and less:

P(5.1 ≤ x ≤ 9.9) = P(x ≤ 9.9) - P(x ≤ 5.1)

= 0.9772 - 0.0228

= 0.9544

Multiplying this result by 100, we find that approximately 95.44% of newborn babies would have weights between 5.1 pounds and 9.9 pounds.

To know more about Percentage, visits:

https://brainly.com/question/32197511

#SPJ11

The largest integer less than 2010 that has a remainder of 5 when divided by 7, a remainder of 10 when divided by 11, and a remainder of 10 when divided by 13. is 1440

Given, a number less than 2010 that has a remainder of 5 when divided by 7, a remainder of 10 when divided by 11, and a remainder of 10 when divided by 13.

On using the Chinese remainder theorem. As, the numbers 7, 11, 13 are pairwise coprime.

Firstly, an integer  m  such that  m−5  is divisible by 7 and  m−10  is divisible by 11 .

The Chinese remainder theorem says that all integers that work will be of the form  54+7⋅11⋅k=54+77k  for any integer  k .

Next an integer  n  such that  n−10  is divisible by 13 and  n−54  is divisible by 77.

Then, by the Chinese remainder theorem, all the integers that also work are of the form  439+13⋅77⋅k=439+1001k .

Hence, the positive integers satisfying the condition are: 439, 439 + 1001 = 1440, 1440 + 1001 = 2441, and so on.

The largest integer less than 2010 is 1440.

Learn more about Chinese Remainder Theorem here https://brainly.com/question/10074520

#SPJ4

Answer: x = 24

Step-by-step explanation:

There are two triangles here; all angles in a triangle add up to 180, so in the first triangle we have two angles.

We add 94 and 41 together, and this gives us 135.

Now, we find the third angle of this triangle and the angle of the inner triangle by doing 180 - 135.

This gives us 45, and now we can calculate for x using the same method we used above.

111 + 45 = 156

180 - 156 = 24

Thus, x is equal to 24 degrees.

The given numbers are arranged in the appropriate column according to the divisibility rules as below:

Divisibility by 3:

1128, 5004, 2235, 4002, 7134, 5661, 9120, 2088, 9999

Divisibility by 6:

1128, 5004, 4002, 7134, 9120, 2088

Divisibility by 9:

5004, 5661, 2088, 9999

The divisibility rule for the numbers 3, 6, and 9 are:

For 3 - If the sum of the digits of the given number is divisible by 3, then the number is divisible by 3.

For 6 - If the number is divisible by both 2 and 3, then the number is divisible by 6.

For 2 - If the last digit of the number is 0, 2, 4, 6, or 8 then the number is divisible by 2.

For 9 - If the sum of the digits of the number is divisible by 9 then the number is divisible by 9.

The given numbers are:

1128, 5228, 1124, 2101, 5004, 1750, 2235, 6625, 4002, 3122, 7134, 5661, 4445, 9120, 7886, 2088, 9457, 9999

Divisible by 2:

If the last digit of the number is 0, 2, 4, 6, or 8 then the number is divisible by 2.

So, such numbers in the given list are:

1128, 5288, 1124, 5004, 1750, 40002, 3122, 7134, 9120, 7886, 2088

Divisible by 3:

If the sum of the digits of the given number is divisible by 3, then the number is divisible by 3.

So,

1128 - 1 + 1 + 2 + 8 = 12; Divisible by 3

5228 - 5 + 2 + 2 + 8 = 17

1124 - 1 + 1 + 2 + 4 = 8

2101 - 2 + 1 + 0 + 1 = 4

5004 - 5 + 0 + 0 + 4 = 9; Divisible by 3

1750 - 1 + 7 + 5 + 0 = 13

2235 - 2 + 2 + 3 + 5 = 12; Divisible by 3

6625 - 6 + 6 + 2 + 5 = 19

4002 - 4 + 0 + 0 + 2 = 6; Divisible by 3

3122 - 3 + 1 + 2 + 2 = 8

7134 - 7 + 1 + 3 + 4 = 15; Divisible by 3

5661 - 5 + 6 + 6 + 1 = 18; Divisible by 3

4445 - 4 + 4 + 4 + 5 = 17

9120 - 9 + 1 + 2 + 0 = 12; Divisible by 3

7886 - 7 + 8 + 8 + 6 = 29

2088 - 2 + 0 + 8 + 8 = 18; Divisible by 3

9457 - 9 + 4 + 5 + 7 = 25

9999 - 9 + 9 + 9 + 9 = 36; Divisible by 3

Thus, the numbers divisible by 3 are:

1128, 5004, 2235, 4002, 7134, 5661, 9120, 2088, 9999

Divisible by 6:

If the number is divisible by both 2 and 3, then the number is divisible by 6.

So, the numbers divisible by both 2 and 3 are:

1128, 5004, 4002, 7134, 9120, 2088

Divisible by 9:

If the sum of the digits of the number is divisible by 9 then the number is divisible by 9.

5004 - 5 + 0 + 0 + 4 = 9;

5661 - 5 + 6 + 6 + 1 = 18;

2088 - 2 + 0 + 8 + 8 = 18;

9999 - 9 + 9 + 9 + 9 = 36;

Only these numbers are divisible by 9. They are:

5004, 5661, 2088, 9999

Learn more about divisibility rules here:

https://brainly.com/question/9462805

#SPJ9

Answer:

D

Step-by-step explanation:

to find the midpoint of ST , calculate the average of the 2 values

R = (- 2 + 7) ÷ 2 = 5 ÷ 2 = 2.5

Answer:

2.5

Step-by-step explanation:

The interest to be paid after 2 years is $765.84

The total interest to be paid after 4 years is  $1531.68

Simple interest rate is the interest that is paid only on the principal portion of a loan. This means that the debtor does not pays interest on the interest rate already accrued.

Simple interest = principal x time x interest rate

$9573 x 2 x 0,04 =$765.84

$9573 x 4 x 0,04 = $1531.68

To learn more about interest, please check: https://brainly.com/question/26164549

Answer:

c and d

Step-by-step explanation:

4/8 = 1/2

a.1/2 =1/2 so it is not greater

b.1/4  <  1/2 = 2/4  so 4/8 is greater

c.7/8   > 4/8  so 7/8 is greater

d.3/5     3/5 = 6/10    1/2 = 5/10

                     3/5 >     4/8

Answer: 7/8 and 3/5

Step-by-step explanation:

First, let’s look at 4/8 and 1/2. They have different denominations so let’s change them. 2 and 8’s closest multiple that they share is 8. 8/8=1, so we have to multiply the numerator and denominator by 1 which doesn’t change the fraction. 8/2=4, so we have to multiply the numerator and denominator by 4 which makes it: 4/8. 4/8 and 4/8 are the same so they are equal.

Next, let’s look at 4/8 and 1/4. They have different denominations so let’s change them. 4 and 8’s closest multiple that they share is 8. 8/8=1, so we have to multiply the numerator and denominator by 1 which doesn’t change the fraction. 8/4=2, so we have to multiply the numerator and denominator by 2 which makes it: 2/8. 4/8 is greater than 2/8 so this would be a wrong answer.

Then, let’s look at 4/8 and 7/8. They have the same denominations so we don’t have to change them. Let’s look at the numerators though: 4 and 7. 7 is greater than 4 so this answer would be correct.

Finally, let’s look at 4/8 and 3/5. They have different denominations so let’s change them. 5 and 8’s closest multiple that they share is 40. 40/8=5, so we have to multiply the numerator and denominator by 5 which makes it 20/40. 40/5=8, so we have to multiply the numerator and denominator by 8 which makes it: 24/40. 24/40 is greater than 20/40, so this answer is correct.

Hope this helps!

Answer:

Oils

Step-by-step explanation:

:)

Answer:

oils

Step-by-step explanation:

Answer:

The correct answer is 64

Step-by-step explanation:

we know that,

volume =4x

=4×4×4

=64

Answer:

64

Step-by-step explanation:

Answer:

........I don't now to answer it

Answer:

i think its b

Step-by-step explanation:

H must contain all powers of x (xⁿ) for n ≥ 0 and the identity element 0, but it is not necessary for H to contain all elements of the form xy, where y is an element of G.

In the given scenario, let (G, 0) be a group and x be an element of G. Suppose H is a subgroup of G that contains x. We need to determine which of the following elements must also be contained in H:

1. All powers of x (xⁿ) for n ≥ 0: Since H contains x, it must also contain all powers of x. This is because a subgroup is closed under the group operation, and taking powers of x involves performing the group operation multiple times.

2. All elements of the form xy, where y is an element of G: It is not guaranteed that all elements of this form will be contained in H. H only needs to contain the elements necessary to satisfy the subgroup criteria, and it may not include every possible combination of x and y.

3. The identity element 0: H must contain the identity element since it is a subgroup and must have an identity element as part of its structure.

Therefore, H must contain all powers of x (xⁿ) for n ≥ 0 and the identity element 0, but it is not necessary for H to contain all elements of the form xy, where y is an element of G.

Learn more about element

brainly.com/question/31950312

#SPJ11

Answer: $50

Step-by-step explanation: