Could someone help me with these please? I’m stuck.

Answer:

Liam earns $9.375 per hour

Step-by-step explanation:

The given information is

We need to find his hourly wages when his benefits package is included

Assume that he earns 100% per hour

∵ He earns 100% per hour

∵ His benefits package is 25% of his hourly wages

→ Add 25% to 100% to find his total hourly wages

∴ He will earn = 100% + 25% = 125% of his hourly wage

→ Find the value of 125% of his hourly earn

∵ 125% of 7.50 = \(\frac{125}{100}\) × 7.50 = 9.375

∴ His hourly earns = $9.375

Liam earns $9.375 per hour

A plasmid used in both yeast and bacteria requires two different selection markers because the same selection may not work for both hosts and bacteria and yeast recognize different promoters.

When using a plasmid in both yeast and bacteria, it is important to have two different selection markers for several reasons. First, the same selection, such as the presence of an antibiotic, may not be effective in both hosts. Different organisms have varying sensitivities to antibiotics, so a marker that works in bacteria may not work in yeast or vice versa. Therefore, two different selection markers are needed to ensure successful selection in both hosts.

Additionally, bacteria and yeast recognize different promoters, which are DNA sequences that control the initiation of gene expression. Promoters are specific to each organism and play a crucial role in regulating gene expression. By incorporating two different selection markers into the plasmid, each marker can be driven by a promoter recognized specifically by the corresponding host. This ensures that the selection marker is effectively expressed in the appropriate host organism, enabling accurate selection and maintenance of the plasmid.

In summary, using two different selection markers in a plasmid intended for both yeast and bacteria is necessary because the same selection may not be effective in both hosts, and different promoters are recognized by bacteria and yeast. This approach allows for successful selection and maintenance of the plasmid in both organisms.

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Answer:

116.663333333 repeating

Step-by-step explanation:

do 349.99 divided by 3

For k ≠ 1, the system has a unique solution, and for k = 1, the system has no solution. There is no value of k for which the system has infinitely many solutions.

To determine the value(s) of k for which the system has no solution, a unique solution, or infinitely many solutions, we will analyze the given system of linear equations:
1) kx + 2y = 4
2) 2x - 4y = -8
Step 1: Simplify the second equation:
Divide both sides of equation 2 by 2:
x - 2y = -4
Step 2: Compare the equations:
Now the system looks like this:
1) kx + 2y = 4
2) x - 2y = -4
Step 3: Determine the relationship between the equations:
a) If k ≠ 1, the equations represent two different lines, which will have a unique solution (intersection point).
b) If k = 1, the equations are multiples of each other:
1x + 2y = 4
1x - 2y = -4
In this case, the lines are parallel and never intersect, which means the system has no solution.
c) There is no value of k for which the system has infinitely many solutions since the given equations cannot represent the same line.
So, the answer is: For k ≠ 1, the system has a unique solution, and for k = 1, the system has no solution. There is no value of k for which the system has infinitely many solutions.

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Answer:

Step-by-step explanation:

Answer:

113

Step-by-step explanation:

c/b(cheeseburger)-2x

h/b(hamburgers)-x

2x+x=339

3x=339(divide both sides by 3)

x=113

To prove that triangle ABC is an isosceles right triangle, we need to show that two sides of the triangle are equal in length and one angle is a right angle.

Distance Formula:

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using the distance formula, we can calculate the lengths of the three sides of the triangle:

Side AB: d₁ = √[(6 - (-2))² + (2 - 4)²] = √[8² + (-2)²] = √(64 + 4) = √68

Side BC: d₂ = √[(1 - 6)² + (-1 - 2)²] = √[(-5)² + (-3)²] = √(25 + 9) = √34

Side AC: d₃ = √[(-2 - 1)² + (4 - (-1))²] = √[(-3)² + 5²] = √(9 + 25) = √34

Slope Formula:

The slope between two points (x₁, y₁) and (x₂, y₂) is given by the slope formula: m = (y₂ - y₁) / (x₂ - x₁)

Using the slope formula, we can calculate the slopes of the three sides of the triangle:

Slope AB:

m₁ = (2 - 4) / (6 - (-2)) = (-2) / 8 = -1/4

Slope BC:

m₂ = (-1 - 2) / (1 - 6) = (-3) / (-5) = 3/5

Slope AC:

m₃ = (4 - (-1)) / (-2 - 1) = 5 / (-3) = -5/3

From the distances calculated and the slopes of the sides, we can see that side AB is equal in length to side BC (both √34), indicating that two sides are equal. Additionally, the slope of side AC (m₃ = -5/3) is the negative reciprocal of the slope of side AB (m₁ = -1/4), indicating that the two sides are perpendicular, and hence, one angle is a right angle.

Therefore, triangle ABC is an isosceles right triangle.

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Answer:

{x = 4

{y = -20

Step-by-step explanation:

{5x - 5y = 120

{y = -7x + 8

5x - 5(-7x +8) = 120

5x + 35x - 40 = 120

40x - 40 = 120

40x = 120 + 40

40x = 160

x = 160/40

(cross out common factor)

x = 4

-----------

x = 4 (next is y)

y = -7 x 4 + 8 (calculate)

y = 20

y = -20

solution of system;

{x = 4

{y = 20

Step-by-step explanation:

To find the z-value corresponding to a significance level of 0.1388 in a two-tailed test, we need to find the critical values for the test.

Assuming a normal distribution, we can use a standard normal distribution table or calculator to find the critical values.

The significance level for a two-tailed test is split equally between both tails. Therefore, we need to find the z-value that corresponds to a tail area of (1 - 0.1388)/2 = 0.4306.

Using a standard normal distribution table or calculator, we can find that the z-value that corresponds to a tail area of 0.4306 is approximately 1.761.

Therefore, the z-value corresponding to a significance level of 0.1388 in a two-tailed test is +/- 1.761.

Answer:

x = 9

y = 5

Step-by-step explanation:

<N and < M are opposite equal sides. So they are equal as well. In addition, the base is equal to the other 2 sides. That means you are dealing with an equilateral triangle. All the angles are equal to 60 degrees.

7x - 3 = 60 degrees     Add 3 to both sides

      3      3

7x = 63                         Divide by 7

x = 63/7

x = 9

Just for the sake of completeness, we'll find y

11y + 5 = 60                 Subtract 5 from both sides

     -5      -5

11y = 55                       Divide by 11

y = 55 /11

y = 5

Answer:

it 2

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

12 + 3s + 9s + 2 =

(3s+9s) + (12+2) =

12s + 14           ( or   2 (6s+7)   )

The matrix that can be multiplied to the left of a vector matrix to produce another vector matrix given as follows:

A. [2;5].

A matrix is also called a vector matrix when it has either only one row or only one column.

In multiplication of matrices, the rows of the left matrix are multiplied by the columns of the right matrix, and the dimensions are given as follows:

The matrix in this problem that we are going to multiply is the right matrix, meaning that we want a matrix with one column, and more than one row, which is given by option A.

(a matrix with only one element, as is the case for option D, is not considered a vector matrix).

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The value of the expression (8.4 × 10^-3) × (7 × 10^-2) is 5.88 × 10^-4.

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number.

The expression is given as:

(8.4 × 10^-3) × (7 × 10^-2)

= 0.0084 × 0.07

= 0.000588

= 5.88 × 10^-4

The value of the expression is 5.88 × 10^-4.

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Answer:

Surface area of prism A is approximately 12.4 square units.

Step-by-step explanation:

Since prism A and prism B are similar, their corresponding side lengths are proportional. Let's use the scale factor k to represent the ratio of the side lengths of prism B to those of prism A. Then, the volume of prism B is (k³)(27) = 27k³ cubic units. Similarly, the surface area of prism B is (k²)(surface area of prism A).

We are given that the volume of prism B is approximately 512 cubic units. Therefore, we can solve for k:

27k³ = 512

k³ = 512/27

k ≈ 3.62

Now, we can use k to find the surface area of prism A:

surface area of prism B = (k²)(surface area of prism A)

128 = (3.62²)(surface area of prism A)

surface area of prism A ≈ 12.4 square units

Therefore, the surface area of prism A is approximately 12.4 square units.

Answer:

سأعطي فقط مثالاً مقدمًا أدناه آمل أن يساعد

Step-by-step explanation:

الارتفاع = 24 سم

نصف القطر = 14 ÷ 2 = 7 سم

ارتفاع مائل = L =؟

L2 = R2 + H2

م 2 = 72 +242

م 2 = 49 + 576

م 2 = 625

L = 25

الحجم = 1 ÷ 3 × 22 ÷ 7 × 7 × 24

الحجم = 1232 سم

مساحة السطح المنحني = 22 × 7 × 7 × 25

مساحة السطح المنحني = 550

إجمالي مساحة السطح = 22 × 7 × 7 × 25 + 7

مساحة السطح الكلية = 704 سم

يرجى وضع علامة لي على أنه أذكى

The inequality for sec (x) < cot (x) is;  π/2 < x < π

We are given that;

We want to find the intervals that the trigonometric inequality sec (x) < cot (x) always hold true.

This can also be expressed as;

1/cos (x) < 1/tan (x)

Now, this can happen only in the quadrant where tan (x) is negative and cos x is positive which is in fourth quadrant where;

π/2 < x < π

The inequality for sec (x) < cot (x) is;  π/2 < x < π

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Answer:

C on edge 22 for Pre-Calculus

Step-by-step explanation:

pi < x< 3pi/2

I retook the unit test, put C, and got a 100. I promise it's right

The daily rate charged to the client for each associate is $800 and the daily rate for each partner is $1800.  The equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case is: 800 x + 1800 y = 17600.

Let variable x = number of associates, assigned to the case

Let variable y = number of partners assigned to the case.

The system of equations to describe this are:

800 x + 1800 y = 17600

y = x + 2

Plugging equation 2 in equation 1, we get,

800 x + 1800(x+ 2) = 17600

2600 x + 3600 = 17,600

Collect like terms

2400 x = 14,000

Divide both side by 2400x

x = 14,000 / 2400

x = 5.8

x = 6 (Approximately)

So,

y = x + 2

y = 5.8 +3

y = 7.8

y = 8 (Approximately)

Therefore the number of associates assigned to the case were 6, and the number of partners associated to the case were 8.

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The measure of a° is 144°.

The measure of b° is 67°.

A trapezium is a quadrilateral where 1 pair of sides are parallel and the sum of angle pairs between parallel lines is 180 degrees.

We have,

Two parallel lines.

The sum of the angle pairs between parallel lines = 180°

This means,

a + 36 = 180

a = 180 - 36

a = 144

b + 113 = 180

b = 180 - 113

b = 67

Thus,

The value of a° is 144°.

The value of b° is 67°.

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Answer:

4 hours

Step-by-step explanation:

he was gone for 5 hours, he spent an hour driving.

5 - = 4 hours at work.

Answer:

4 hours

Step-by-step explanation:

says he was gone 4 hours, he was at work

Answer:

Step-by-step explanation:

Firstline = 33%

Second line = 36%

Answer:

Firstline = 33%

Second line = 36%

Step-by-step explanation:

Answer: Yes, 59 is a prime number

Step-by-step explanation: 59 is a prime number, it has only two factors, such as one and the number itself. Hence, the factors of 59 are 1 and 59.

Yes, 59 is a prime number.

What is a prime number?

Any natural number greater than 1 that is not the sum of two smaller natural numbers is referred to as a prime number. A composite number is a natural number greater than one that is not prime.

In other terms, prime numbers are positive integers greater than one that only has the number itself and 1 as factors. 2, 3, 5, 7, 11, 13, and other prime numbers are just a few examples. Never forget that 1 is neither a prime number nor a composite. Apart from 1, the other numbers can all be categorised as prime and composite numbers. Except for 2, which is the smallest prime number and the only even prime number, all prime numbers are odd.

The number in question, which is 59,  has only two factors: 1 and 59.

Therefore 59 is a prime number.

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Answer:

i think -1/26

Step-by-step explanation:

(y2 - y1) / (x2 - x1)

(-15+16) /(-7-19)

1/-26

Answer:

8.33

Step-by-step explanation:

He has to be at work by 10:30, but it takes 20 mins to walk

So, 10:30-20 minutes=10:10

We then look at the arrival time closest to this, which would mean he would arrive at 10.06.

trace this back the bus would gett him at 8:38, but its a 5min walk.

8:38-5 minutes+8.33

hope this helps :)

Given information: Number of employees (n) = 10, Mean (μ) = $70,000, Median = $55,000, Standard deviation (σ) = $20,000. The largest number on the list = $100,000. We have to find the new mean, variation, and standard deviation after the value is changed from $100,000 to $1,000,000.

Now the largest value on the list is $1,000,000, and the other nine values range from $55,000 to $100,000. So, the new mean can be calculated as follows:

New mean = [($55,000 × 4) + ($70,000 × 5) + ($100,000 × 1) + ($1,000,000 × 1)] / 10= $623,000Hence, the new mean is $623,000.Using the formula, Variance (σ²) = Σ(xi - μ)²/n, where xi = data value, μ = mean and n = number of data values.

In the previous case, variance was equal to:(20,000² + 15,000² + 10,000² + 5,000² + 0² + 5,000² + 10,000² + 15,000² + 30,000² + 30,000²)/10 = 2,100,000Now, let’s calculate the variance with $1,000,000 as the highest value.

Variance = (20,000² + 15,000² + 10,000² + 5,000² + 0² + 5,000² + 10,000² + 15,000² + 900,000² + 900,000²)/10Variance = 3,580,000,000

The new variance is 3,580,000,000.Hence, the new variance is $3,580,000,000.Now, using the formula,Standard deviation (σ) = √Variance

The old standard deviation was:σ = √(2,100,000) = $1,449.14The new standard deviation will be:σ = √(3,580,000,000) = $59,797.96Hence, the new standard deviation is $59,797.96.

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Answer:56.66 mi/h

Step-by-step explanation:

210 + 130 / 3.5 + 2.5 = 340 / 6

Divide by 6 and you get 56.66

Rounding to the nearest tenth 56.7 mi/h

Answer:

146 ?? Sana makatulong