Cassie is swimming backstroke for her team at the Tri-County Swim Meet. The fastest time so far is 49.25 seconds. Cassie wants to either beat or tie for the fastest time.
Let t represent the time, in seconds, Cassie hopes to achieve. Which inequality models the story?

The net force is 126 kg m/s² needed to accelerate the llama on the stretcher.

To determine the net force needed to accelerate a llama weighing 200 kg on a stretcher with an upward acceleration of 0.63 m/s², we can use the formula F = ma, where F is the net force, m is the mass of the llama, and a is the upward acceleration of the stretcher.

As per the question, the mass of the llama is 200 kg and the upward acceleration of the stretcher is 0.63 m/s²,

So, the net force needed to accelerate the llama is:

F = 200 kg × 0.63 m/s²

F = 126 kg m/s².

Thus, the net force is 126 kg m/s² needed to accelerate the llama on the stretcher.

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Probability that a coin pulled at random from the jar will not be a dime or penny is 20 or 13.

Given that,

6 quarters, 3 dimes, 4 nickels, and 10 pennies are included in the jar.

We have to find what is the probability that a coin pulled at random from the jar won't be a dime or a penny.

We know that,

6 quarters, 3 dimes, 4 nickels, and 10 pennies are included in the jar.

6+3+4+10 =23

Probability that a coin pulled at random from the jar will not be a dime is 23-3=20

Probability that a coin pulled at random from the jar will not be a penny is 23-10=13

Therefore, Probability that a coin pulled at random from the jar will not be a dime or penny is 20 or 13.

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6. Applying the inscribed angle theorem, x = 33

7. m<ABP = 90°.

m<APB = 48°

The tangent theorem states that the tangent of a circle is perpendicular to the radius of that circle and therefore forms a right angle at the point of tangency.

An inscribed angle has a measure that is half the measure of the intercepted arc, according to the inscribed angle theorem.

Therefore:

Question 6:

Based on the inscribed angle theorem,

Measure of arc AB = 2(x + 3) = 2x + 6

108 + 2x + 6 = 180 [semicircle]

Solve for x

114 + 2x = 180

2x = 180 - 114

2x = 66

x = 33

Question 7:

Given that line PB is tangent to circle A, therefore, based on the tangent theorem, the measure of angle ABP = 90°.

m<APB = 180 - 90 - 42

m<APB = 48°

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Answer:

2

Step-by-step explanation:

quarter = 25

2 quarter = 50

Answer:

C. −7.8v −1.7

Step-by-step explanation:

add like terms

-5.2v  + (-2.6v) = −7.8v

(-2.8) + 1.1 = -1.7

Answer:

C )  −8v−1.7

Step-by-step explanation:

1 ) − 5.2v − 2.8 + 1.1 −2.6v

2) = − 5.2v + −2.8 + 1.1 + − 2.6v

Combine Like Terms:

3 ) = − 5.2v + − 2.8 + 1.1 + − 2.6v

4 ) = ( − 5.2v + − 2.6v ) + ( −2.8 + 1.1 )

5 ) = − 7.8v + − 1.7

Hope this helps! :)

Answer: Ok so the slope is always going to be m and the y intercept will be the b.

Step-by-step explanation: For example the slope form in y=mx+b. Whatever is in that b spot is going to be the y-intercept. So for number one on exercise 7 the slope will be 2/3 and the y- intercept will be -4. Same for number 2 remember take your time and know that m is the slope and b is your y-intercept. I really hope this helps you.

Steps to solve linear equations;

Given,

Linear equations;

Ax + By = C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x + 3y = 5. When an equation is given in this format, finding both intercepts is rather simple (x and y).

Here,

The steps to solve linear equations are;

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Both means are approximately equal at 1% level of significance.

What is significance level?

A finding has statistical significance in statistical hypothesis testing when it is highly unlikely to have happened given the null hypothesis.

H0: Mean of mean = mean of women

Ha: means of men < mean of women

(Left tailed test)

Since population std deviation is known but sample sizes are small t test is used.

The mean of Men minus Women equals -5.00

standard error of difference = 2.201

t = 2.2721

df = 53

p value= 0.0136

since p >0.01 at 1% significance level we fail to reject H0.

Both means are approximately equal at 1% level of significance.

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Answer: To calculate x in an equation, you can first look at the other numbers that aren't missing any values [say 2x + 60x = 248]. To find the value of x, bring the variable(s) to the left and bring all the remaining numbers to the right (I'm trying to explain this in a simple way)

Step-by-step explanation: math

Answer:

Makes it smaller

Step-by-step explanation:

A scale factor less than 1 makes the image smaller than the preimage.

A scale factor of 1 makes the image the same size as the preimage.

A scale factor greater than 1 makes the image larger than the preimage.

Answer: 3.14

Step-by-step explanation:

1. go home

2. sleep

3. poop

4. eat

The interquartile range for the given data set 2.35, 1.56, 1.77, 2.45, 6.02, 4.38, 2.77, 5.23, 2.22, 3.26 is 2.16.

The middle two-thirds of your data set—the interquartile range, or IQR—contain the second and third quartiles. The interquartile range, as opposed to range, provides the range of the middle half of a data set. Range provides the spread of the entire data set. The statistical dispersion, or spread of the data, is measured in descriptive statistics by the interquartile range. In addition to the IQR, other names for it include the mid spread, middle 50%, fourth spread, and H-spread. The distinction between the data's 75th and 25th percentiles is what is meant by this term.

Given the data set is,

2.35, 1.56, 1.77, 2.45, 6.02, 4.38, 2.77, 5.23, 2.22, 3.26

First we have to arrange data set in the ascending order:

1.56, 1.77, 2.22, 2.35, 2.45, 2.77, 3.26, 4.38, 5.23, 6.02

Here,

Median=(2.45+2.77)/2

Median=2.61

First Quartile Q₁=2.22

Third Quartile Q₃=4.38

Interquartile Range= Q₃- Q₁

=4.38-2.22

=2.16

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The explanatory variables and response variables for this relationship are;

b. Explanatory variable: high school GPA

   Response variable: college GPA

What are explanatory variables?

When it comes to an experiment, a researcher-manipulated variable is an explanatory variable. It acts as a gauge of the transformation the response variable underwent.

Explanatory variables are frequently referred to as predictor variables or independent variables. A response variable is the variable that a researcher is asking a specific question about.

Numerous variables, referred to as explanatory variables, might have an impact on the response variable.

Therefore, the correct option is b, Explanatory variable: high school GPA, Response variable: college GPA.

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Complete question:

College administrators at a small, private college

noticed that students who had higher high school

GPAs tend to have higher college GPAs.

What are the explanatory variable and response

variable for this

relationship?

Explanatory variable: size of college

Response variable: college GPA

Explanatory variable: high school GPA

Response variable: college GPA

Explanatory variable: college GPA

Response variable: high school GPA

Explanatory variable: type of college (public)

Response variable: college GPA

As per the given Ratio difference between the amount of money spent and the amount of money saved in a week is $2.

A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.

The ratio formula can be used to represent a ratio as a fraction. For any two quantities, say a and b, the ratio formula is a:b = a/b. Because a and b are separate amounts for two portions, the total quantity is given as (a + b).

et 5x be the money he spends and 4x be the amount he saves

therefore, 5x+4x= 18

9x= 18

x= 18/9= 2

Tom spends, 5×2 = $10

and he saves, 4×2= $8

Difference, = $10-$8= $2

Therefore, as per the given ratio in the question difference between the amount of money spent and the amount of money saved in a week is $2.

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Tom receives $18 from his father in a week. The ratio of the amount of

the money he spends to the amount of money he saves in a week is 5:4

What is the difference between the amount of money spent and

amount of money saved in a week?

The number of cars which can be made by using 4 tires, a main chassis, and 5 lithium-ion batteries are 4.

Using hit and trial method :

→ assuming tires as limiting substance

4 tires → 1 car

17 tires → 17/4 ×1 car

= 4.25 cars {reducing it to greatest integer value}

→ Assuming chassis as limiting theorem:

1 chassis → 1 car

5 chassis → 5 cars

→ Assuming batteries as limiting theorem substance:

5 batteries → 1 car

22 batteries → 22/5 × 1 car

= 4.4 → 4 cars

Therefore, 4 cars can be made by the given substance.

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The number of rabbits on the farm is 575 and the number of chickens is 425.

Here we have to find the number of rabbits and the number of chickens on the farm.

Data given:

Total number of rabbits and chicken = 1000

Number of legs = 3150

Let x be the number of rabbits and y be the number of chickens.

So we have

x + y = 1000 -------(1)

4x + 2y = 3150

A rabbit has 4 legs and a chicken has 2 legs.

2x + y = 1575 ------(2)

Substrating equation (1) from (2) we have:

x = 575

Now put in equation (1) we have:

575 + y = 1000

y = 425

Therefore the number of rabbits is 575 and the number of chickens is 425.

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The situation in which the value of the solution may be made infinitely large in a maximisation linear programming problem or infinitely small in a minimisation problem without violating any of the constraints is known as an unbounded solution

What is Linear Programming?

When a linear function is exposed to various constraints, it is maximised or reduced using the mathematical modelling technique known as linear programming.

Let's briefly define some situations

Infiniteness and semi-optimality, does not comply with what the situation exposes.

If there isn't a solution that satisfies all the requirements, the problem is said to be infeasible. As a result, this choice is not.

If the objective function can be improved indefinitely without going against the constraints and limits, then the problem is unbounded, and this is the right response.

The situation in which the value of the solution may be made infinitely large in a maximisation linear programming problem  is known as an unbounded solution

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Answer:

0.32 rounded to the nearest 1 is 0.

Step-by-step explanation:

If the 0.1 decimal place is equal to 0.5 or higher, you round up but since this  is 0.3, you round down.

Answer:

The answer should be $31.99

There are 87 fewer fish in small school compared to big school.

We solve addition and subtraction problems by focusing on either the action (joining or separating) or the relationship in the problem. Many problems involve monetary relationships.

This week, we looked at COMPARISON problems, which involve determining the similarities and differences between sets.

Difference Unknown: One type of compare problem entails determining how many more items are in one set than another. James, for example, has six mice. Joy has eleven mice. Joy has how many more mice than James?

Given,

Number of fish in small school = 25

Number of fish in big school =  112

then,

Number of fewer fish does small school have 112 -25 = 87

Thus, there are 87 fewer fish in school than big school.

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[tex]\cos A=\frac{21}{75}[/tex] since cosine is (adjacent)/(hypotenuse).

Option A. stating that the set of all possible values of the independent variables (x) in a function is called a domain.- is the correct answer as per the definition of a domain.

The domain of a function is the set of all the possible values of the independent variable. Or in simple words, we can say that the domain is the set of all possible x-values that makes up the function and gives out real y-values.

Hence, in the given question option A is the appropriate explanation of domain i.e The set of all possible values of the independent variables (x) in a function.

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The complete question is -

Select all correct answers about Domain.

A. The set of all possible values of the independent variables (x) in a function is called a domain.

B. The set of all possible values of the independent variables (y) in a function.

C. A graph of a function can be used to find its domain.

D. If a value is outside the domain of a function, we can not use it in calculations of that function.

Answer:

There should be around three teachers.

Step-by-step explanation:

72/24 = 3

or

24 x 3 =72

Another way you could do it is three circles put one dot in each circle until you reach 72.

Hope this helped

Responden: Original Answer Language (Spanish)

Las coordenadas del punto (-2, 3) después de una reflexión en el eje y son: (2,3). Se explica en la imagen.

Answer: Traducir el idioma de la respuesta (inglés)

The coordinates of the point (-2, 3) after a reflection on the y-axis are: (2,3). It is explained in the image.

To dilate an image , multiple the scale factor with the coordinates

The process of dilation entails scaling or changing a thing. It is a transformation that uses the specified scale factor to make the objects smaller or larger.

The resizing happens from a point called the center of dilation. It is the center of dilation from which the objects/figures are expanded or contracted.

Scale factor is a number by which the size of any geometrical figure can be changed with respect to its original size.

Follow the steps below to dilate an image.

Step 1: Determine the scale factor and the dilation centre.

Step 2: Identify an image vertex. Draw a line through one of the image's vertices from the centre of dilation.

Step 3: Determine the horizontal and vertical distances between the dilation centre and the vertex.

To find the horizontal and vertical distances from the centre of dilation to a new vertex, multiply the distances by the scale factor.

Step 4: Determine the new horizontal and vertical distances from the centre of dilation. Make a point plot.

Step 5: Join the new vertices together to create the dilated image.

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Answer:

42

Step-by-step explanation:

1 dozen equals 12 so 12 x 4 would be 42

Answer:

15 hours

Step-by-step explanation:

Firstly, Andrew has 20$ saved, right? So we should minus that by our goal, $140.

140-20=120

That leaves us with $120 to earn. Andrew works for $8 an hour. So we should divided 120 by 8 to get the number of hours he needs to work to get $140.

120÷8=15 hours

Which means that Andrew has to work for 15 hours to get a total of $140.

Kaden's expression tells you how many hours Kaden works per year

Given: Kaden earns h dollars per hour working for a landscaper. He works 14 hours per week.

Kaden expression:

14 x h x 52

The 14 in this expression tells you how many hours Karen works per year. The 52 shows the number of weeks in a year

Kaden's boss expression:

728h

This does not tells how many hours Kaden works per year

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