The cost of 1 hat and 1 bag is £27.
The cost of 2 hats and 1 bag is £42.
(a) How much does 1 hat cost?
(b) How much does 1 bag cost?

Answer:

[tex]-13 > -21[/tex]

-13 is the warmer temperature.

Step-by-step explanation:

When comparing negative numbers, the number closer to zero on the number line is greater.

(OR, the negative number that, if it was positive, would be less).

In this case, that number is -13.

We now know that -13 is greater than -21, so we can write this inequality:

[tex]-13 > -21[/tex]

In regards to temperature, greater numbers usually mean hotter temperature, so -13 is the warmer temperature.

The solution of the expression is -24/5 < m < 32/5

To solve the absolute value inequality |2 - 5m/2| < 14, we remove the absolute value symbol resulting to two cases which is solved below

Case 1:

2 - 5m/2 < 14

Multiplying both sides by 2

4 - 5m < 28

Subtracting 4 from both sides

-5m < 24

Dividing both sides by -5 and rearranging the equation

m > -24/5

Case 2

2 - 5m/2 < -14

subtracting 2 to both sides

5m/2 < -16

Dividing both sides by -5/2

m < 32/5

Combining the equations

-24/5 < m < 32/5

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hi

10/9 - 11/3 =  10/9 - 33/9 =  -23/9

Answer:

-23/9

Step-by-step explanation:

You would need to find a common denominator which would be 9.

The next step would be to combine the top 10-11 (times)3 over 9

Then you multiply -11 by 3 tp get 10 -33 /9

The last and final step would be tp subract 33 from 10 to get 33 -10

Which will led you to your final awnser which is -23/9

Answer:

$14,766.00

Step-by-step explanation:

Interest = principle x rate x time

I = 13800 (.14)(.5)

I = 966

Total:

Principle plus interest

13800 + 966 = 14,766

Helping in the name of Jesus.

If the cabinets are 34 inches tall, 24 inches deep, and 16 inches wide, the volume of the kitchen cabinets is 16,384 cubic inches.

To find the volume of the rectangular prisms-shaped kitchen cabinets, we need to multiply the three dimensions: height, depth, and width. We are given the following measurements:

Height = 34 inches

Depth = 24 inches

Width = 16 inches

So the formula for the volume is:

Volume = Height x Depth x Width

Substituting the given values, we get:

Volume = 34 x 24 x 16

Volume = 16,384 cubic inches

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SA = 2lw + 2lh + 2wh = 42 m^2 ... (1)

And the volume of the original prism is given by:

V = lwh = 18 m^3 ... (2)

If you enlarge the dimensions of the prism by a factor of 4, then the new dimensions will be 4l, 4w, and 4h. The new surface area of the prism will be:

New SA = 2(4l)(4w) + 2(4l)(4h) + 2(4w)(4h)

= 32lw + 32lh + 32wh

= 32(2lw + 2lh + 2wh)

= 32(42)

= 1344 m^2

So, the surface area of the enlarged prism is 1344 m^2.

Similarly, the new volume of the prism will be:

New V = (4l)(4w)(4h)

= 64lwh

= 64(18)

= 1152 m^3

So, the volume of the enlarged prism is 1152 m^3.

Therefore, the surface area of the prism is 1344 m^2 and the volume of the prism is 1152 m^3 after the dimensions are enlarged by a factor of 4.

*IG:whis.sama_ent

Answer: $34,828.59

Step-by-step explanation:

We can use the formula for compound interest to solve this problem:

A = P(1 + r)^t

where:

P = the principal (in this case, $14,275)

r = the annual interest rate (6%, or 0.06 as a decimal)

t = the number of years (18)

Plugging in the values we know, we get:

A = $14,275(1 + 0.06)^18

A = $14,275(1.06)^18

A = $34,828.59 (rounded to the nearest penny)

Therefore, the value of the investment after 18 years, rounded to the nearest penny, is $34,828.59

The area of the figure is 160.6 unit²

Since the figure is composed of a parallelogram and one semicircle, the area will be:

Area of figure = area of parallelogram + area of semicircle

Area of figure = bh + 1/2πr²

where b = 10, h = 6 and r = 8

Area of figure = (10*6) + (1/2 * 22/7 * 8²)

Area of figure = 60 + 100.6

Area of figure = 160.6 unit²

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The coordinates of P that partitions AB in the ratio 1 to 3 include the following: [4, -4].

In this scenario, line ratio would be used to determine the coordinates of the point P on the directed line segment that partitions the segment into a ratio of 1 to 3.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of P and this is modeled by this mathematical equation:

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

P(x, y) = [(1(6) + 3(2))/(1 + 3)],  [(1(6) + 3(-6))/(1 + 3)]

P(x, y) = [(6 + 6)/(3)],  [(6 - 18)/3]

P(x, y) = [12/3],  [(-12)/(3)]

P(x, y) = [4, -4]

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The nurse should administer 0.88 mL of the cefazolin solution for the 550 mg IM dose.

To determine the number of mL to administer for the 550 mg IM dose of cefazolin, follow these steps:
Determine the concentration of cefazolin per mL:
- You have a 2-g (2000 mg) vial of cefazolin that was diluted with 3 mL of diluent, yielding a total volume of 3.2 mL.
- Divide the total amount of cefazolin (2000 mg) by the total volume (3.2 mL) to find the concentration per mL: 2000 mg / 3.2 mL = 625 mg/mL.
Calculate the volume needed for the 550 mg dose:
- Divide the prescribed dose (550 mg) by the concentration per mL (625 mg/mL):

550 mg / 625 mg/mL = 0.88 mL.

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The nurse should administer 0.88 mL of the cefazolin solution intramuscularly to the client.

To determine the mL to administer for the 550 mg IM order of cefazolin, follow these steps:

1. Calculate the concentration of cefazolin in the solution:
  - 2,000 mg (2-g vial) of cefazolin is diluted with 3 mL of diluent, yielding a volume of 3.2 mL.
  - Concentration = (2,000 mg) / (3.2 mL) = 625 mg/mL

2. Determine the volume needed for the 550 mg prescribed dose:
  - Volume = (Prescribed Dose) / (Concentration)
  - Volume = (550 mg) / (625 mg/mL) = 0.88 mL

Cefazolin is an antibiotic used to treat various bacterial infections. The dosage of cefazolin depends on the type and severity of the infection, as well as the patient’s weight, age, and kidney function12. The usual adult dose for mild to moderate infections ranges from 250 mg to 1 g every 6 to 12 hours

The nurse should administer 0.88 mL of the cefazolin solution intramuscularly to the client.

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Answer:vvv

Step-by-step explanation:

Boss's nickname is Boss because they beat Glenna in the 1500m race.

Buzz's nickname is Buzz because they beat Juanita in the high jump.

Cosmo's nickname is Cosmo because they were with Tiger and Andre at the water station.

Tiger's nickname is Tiger because they lost to Juanita in the 400m race and tied with Glenna in the long jump.

Andre's nickname is not given, but we know they ran a leg of the relay race with Bilal.

Bilal's nickname is not given, but we know they ran a leg of the relay race with Andre.

Glenna's nickname is not given, but we know they tied with Tiger in the long jump.

Juanita's nickname is not given, but we know they lost to Buzz in the high jump and beat Tiger in the 400m race, and ran a leg of the relay race with Cosmo.

The answer of this question is equation [-6x+4y=16].

An equation is a mathematical statement that shows the equality between two expressions, typically separated by an equal sign. It can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the value of the variable that makes the equation true.

In mathematics, a system refers to a collection of mathematical objects or entities that are related or interconnected in some way.

System A

5x-y=-11

3x-2y=-8

System B

5x-y=-11

-2(3x-2y)=-8×(-2)

5x-y=-11

-6x+4y=16

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Answer:

[tex] \frac{36}{12} = \frac{39}{x - 10} [/tex]

[tex] 3 = \frac{39}{x - 10} [/tex]

[tex]3(x - 10) = 39[/tex]

[tex]x - 10 = 13[/tex]

[tex]x = 23[/tex]

The measure of the angle in degrees is approximately 713 degrees. Note that this result is greater than 360 degrees because the angle is not a standard angle in a plane but a measure in three-dimensional space.

Since 1/360th of the circumference of the circle is 0.5 cm long, the circumference of the circle is 360 times longer, or 180 cm long.

The arc subtended by the angle is 79 cm long, which is a fraction of the entire circumference. To find the angle in degrees, we need to convert the arc length to an angle measure using the formula:

angle measure = (arc length / circumference) x 360 degrees

Substituting the values we know, we get:

angle measure = (79 cm / 180 cm) x 360 degrees

Simplifying the fraction, we get:

angle measure = 1.9833 x 360 degrees

Rounding to the nearest degree, we get:

angle measure ≈ 713 degrees

Therefore, the measure of the angle in degrees is approximately 713 degrees. Note that this result is greater than 360 degrees because the angle is not a standard angle in a plane but a measure in three-dimensional space.

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Step-by-step explanation:

probability that the first die shows six = 1/6

probability that the other die shows an odd number = 1/2

The equation of the translated function q(x) in slope-intercept form is q(x) = 2x - 13.

The function p(x) = 2(x - 4) can be rewritten in slope-intercept form as:

p(x) = 2x - 8

To translate the graph of p(x) two units to the right and one unit down, we need to make the following adjustments to the equation:

So the equation of the translated function q(x) in slope-intercept form is:

q(x) = 2(x - 2) - 8 - 1

Simplifying, we get:

q(x) = 2x - 13

Therefore, the equation of the translated function q(x) in slope-intercept form is q(x) = 2x - 13.

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The solution in natural numbers for the equation is x = 100 and y = 1.

The positive integers 1, 2, 3, 4, 5,... are known as "natural numbers." N stands for the set of natural numbers. Natural numbers are the building blocks of mathematical operations including addition, subtraction, multiplication, and division. They are also used to count objects. They make up a portion of the set of whole numbers, which also contains the natural numbers and 0 as well. There is no biggest natural number since the collection of natural numbers is endless and unbounded.

To determine the solution of the equation we use the difference of square identity given as:

(x + y)(x - y).

Now, for the given function we have:

(x - y)(x + y = 303

The two factors of 303 are 101 and 99.

Thus,

x + y = 101

x - y = 99

Adding the two equations we have:

2x = 200

x = 100

Now, for x = 100 the value of y is:

100 - y = 99

y = 1

Hence, the solution in natural numbers is x = 100 and y = 1.

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The best type of study is RCT randomized controlled trial.

The practise of gathering and analysing data with the purpose of identifying patterns and trends is known as statistical analysis. It is a technique for eliminating bias from data evaluation by using numerical analysis. This method is beneficial for gathering research interpretations, creating statistical models, and organising surveys and studies.

In the false idea that there must be an underlying causal relationship because the data reveals a correlation, people frequently misunderstand and misuse the concept of causality in statistics. The best method for proving that two variables are causally related is to utillize a controlled study.

Randomised controlled trials (RCTs) are the most effective study design for proving causality. The treatment group in an RCT receives the intervention under study, whilst the control group either receives no intervention or a placebo. Participants are then randomly assigned to one of the two groups. The RCT helps to adjust for confounding variables and demonstrate a cause-and-effect relationship between the intervention and the result by randomly allocating participants.

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The values of x and y using trigonometric ratios are: 12) x = 8, y = 4√3 and 14) y = 11√2, x = 11√2

Some of the common trigonometric ratios are:

Using the above as a guide, we have the following:

12) Let us solve for x and y using trigonometric ratios to get:

4/x = sin 30

4/0.5 = x

x = 8

Similarly:

4/y = tan 30

y = 4/tan 30

y = 4√3

Using the above as a guide, we have the following:

14) Let us solve for x and y using trigonometric ratios to get:

y/22 = sin 45

y = 11√2

Similarly:

x/22 = cos 45

x = 11√2

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The values of x and y using trigonometric ratios are:

12) x = 8, y = 4√3

14) x = 11√2, y = 11√2

The three most common trigonometric ratios are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = adjacent/hypotenuse

12) We can find x and y using trigonometric ratios as follows:

4/x = sin 30

x = 4/sin 30

x =4/0.5

x = 8

We can solve for y as:

4/y = tan 30

y = 4/tan 30

y = 4(1/√3)

y = 4√3

14) We can find x and y using trigonometric ratios as follows:

y/22 = sin 45

y = 22 * 1/√2

Rationalizing the denominator gives:

y = 11√2

We can find x as:

x/22 = cos 45

x = 22 * 1/√2

Rationalizing the denominator gives:

x = 11√2

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The relative frequency of students that are of the 1 to 5 class and are left-handed is 40%.

Relative frequency is the ratio of the number of times an event occurs to the number of trials. This can be expressed as a fraction, a percentage, or a proportion.

This can be calculated using the following equation:

Relative Frequency = (Number of Left-Handed Students in 1 to 5 Class / Total Number of Students in 1 to 5 Class) x 100

Relative Frequency = (17 / (17 + 25)) x 100

Relative Frequency = 40%

This calculation shows that 40% of students in the 1 to 5 class are left-handed. This percentage can be rounded to the nearest whole percentage, giving the answer of 40%.

By comparing the relative frequency of left-handed students in the 1 to 5 class to the relative frequency in the other classes, it can be seen that the 1 to 5 class has the highest relative frequency of left-handed students.

This could be due to the developmental stage of students in this age group, as studies have shown that being left-handed is more common in children aged 5 to 10 than in adults.

Alternatively, it could be due to cultural factors, such as left-handed students feeling more comfortable in the 1 to 5 class due to the younger age group.

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Answer:

the answer ur looking for would be B

Step-by-step

Answer:

linear

Step-by-step explanation:

i js took the test

The kind of model that best describes the data is a linear relation

From the question, we have the following parameters that can be used in our computation:

{(0, 0), (−1, −3), (−2, −6), (−3, −9), (−4, −12)}

In the above dataset, we can see that

Using the above as a guide, we have the following:

The relation has a constant rate of -3/-1

Evaluate

The relation has a constant rate of 3

Only linear relations have constant rates

Hence, the kind of model that best describes the data is a linear relation

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Answer:

x=9,-2

Step-by-step explanation:

in this case [tex]x^{2} -7x-18[/tex]

you can chose if you want the -7x and -18 to be a or b because [tex]x^{2}[/tex] would be c.

The 95% confidence interval for the population proportion of student loan borrowers with loans totaling more than $20,000 is approximately (0.3235, 0.3765).

To construct a 95% confidence interval for the population proportion of student loan borrowers with loans totaling more than $20,000, we need to calculate the sample proportion, standard error, and critical value.

1. Sample proportion (p) = Number of students with loans over $20,000 / Total sample size
p = 448 / 1280 ≈ 0.35

2. Standard error (SE) = √(p * (1 - p) / n)
SE ≈ √(0.35 * (1 - 0.35) / 1280) ≈ 0.0135

3. For a 95% confidence interval, we use a critical value (z) of 1.96.
Margin of error (ME) = z * SE
ME ≈ 1.96 * 0.0135 ≈ 0.0265

4. Calculate the confidence interval:
Lower limit = p - ME ≈ 0.35 - 0.0265 ≈ 0.3235
Upper limit = p + ME ≈ 0.35 + 0.0265 ≈ 0.3765

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A circle with center V and an inscribed equilateral triangle RST.

What is circle?

A circle is a closed two-dimensional shape consisting of all the points that are equidistant from a given point, called the center.

To construct a circle with center V and an inscribed equilateral triangle RST, follow these steps:

Draw point V as the center of the circle.

From point V, draw a radius that will serve as one side of the equilateral triangle RST. Label the endpoint of this radius as point S.

Using a compass, draw a circle with center V and radius VS. This circle will intersect the radius VS at two points, label these points as R and T.

Draw segments RT and RS to complete the equilateral triangle RST.

Your construction should show a circle with center V and an inscribed equilateral triangle RST.

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The measure of angle Y is m - 8 = 72.25 - 8 = 64.25 degrees.

What is the supplementary angle?

Two angles are said to be supplementary if their sum is equal to 180 degrees. In other words, if angle A and angle B are supplementary, then:

A + B = 180.

Since angles X and Y are supplementary, their measures add up to 180 degrees. So we have:

X + Y = 180

Substituting the given values, we get:

115.75 + (m - 8) = 180

Simplifying, we get:

m - 8 = 180 - 115.75

m - 8 = 64.25

Adding 8 to both sides, we get:

m = 72.25

Therefore, the measure of angle Y is m - 8 = 72.25 - 8 = 64.25 degrees.

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This sample is likely to be biased because it only includes individuals who use the city's parks, which means it may not represent the entire population of voters who would be affected by a tax increase to improve the parks.

A sample is a subset or a smaller group of individuals or 17 that are selected from a larger population to represent the population.

The park commission's study of 500 park users is likely biassed because it only covers people who use the city's parks. This indicates that the sample does not accurately reflect the full electorate who would be impacted by a tax hike to fund park improvements.

Various people may hold various views regarding whether or not a tax increase is required to develop the parks. For instance, if they don't frequent the parks or have other priorities for their tax money, they might be less likely to approve a tax hike.

If the park commission only conducted surveys of people at specific times of day or in specific locations of the city, the sample may also be skewed. This could omit those who visit the parks at various hours or in various locations around the city.

In order to get accurate and valid results, it's crucial to utilise a representative sample that includes people from different demographic groups. A biased sample can produce results that are erroneous or misleading.

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Answer:

The length of the diagonal from P to Q is

[tex] \sqrt{ {9}^{2} + {12}^{2} + {8}^{2} } = \sqrt{289} = 17[/tex]