Drew spent $38.97 on 3 1/4 pounds of shrimp. How much did he spend on each pound of shrimp?​

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 3.2\%\to \frac{3.2}{100}\dotfill &0.032\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (500)(0.032)(1) \implies I = 16[/tex]

The x-intercept of the quadratic inequality is -4 ≥ x and 2 ≥ x.

Let's factor the quadratic inequality to find the x-intercepts. The x-intercept of the quadratic inequality is the value of x when y = 0.

Therefore,

y ≥ x² + 2x - 8

0 ≥ x² + 2x - 8

0 ≥ x² - 2x + 4x - 8

0 ≥ x(x - 2) + 4(x - 2)

0 ≥ (x + 4)(x - 2)

Therefore,

0 ≥ x + 4

-4 ≥ x

0 ≥ x - 2

2 ≥ x

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The statement(s) that must be true about three points, P, Q, and R, graphed on a coordinate plane. such that the points are all collinear in the order P, then Q, and then R are:

Collinear points are those that are situated along a single straight line.

In Euclidean geometry, two or more points are said to be collinear if they are located on a line either close to or far from one another.

Slopes of a line is equal for parallel line and a single straight line

Since the line P, Q and R are in the order P, then Q, and then R. it means that the length of the line PR is PQ + PR

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1) The bus took a 30-minute stop in the interval between D and E

2) The bus traveled the fastest in the interval between C and D

3) The bus was traveling at 60 miles per hour during this interval.

4) The average rate of speed of the bus over the entire journey is 35 miles /hr

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here for the first question we have there was no change in the distance in the interval between D and E thus bus must have stopped for 30 minutes.

2) The interval in which the bus travelled the fastest is between C and D

3) The Speed of the bus in this interval is S = 90/1.5

                                                                         = 60 miles/hr

4) The average speed of the bus over the entire trip is Sₐ = 140/4

                                                                                                = 35 miles/hr

Hence the above answers are correct ones.

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The graph line for function d = 0.25t is added as an attachment

The equation of the function is given as

d = 0.25t

The above function is a linear function

One way to create the graph is to make a list of ordered pairs

So, we have

When t = 0, d = 0.25 * 0 = 0

When t = 1, d = 0.25 * 1 = 0.25

When t = 2, d = 0.25 * 2 = 0.5

So, the ordered pairs are (0, 0), (1, 0.25) and (2, 0.5)

We plot these points on a graph and connect them through a line

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By resolving an equation, we may determine that Uan needs to sell 12 or more goods in order to generate a profit of $60 or more.

A formula that describes how two expressions on each side of a sign are connected.

It typically has an equal sign and one variable.

Similar to this: 2x - 4 = 2.

Graphing, substitution, or elimination are the three methods that can be used to solve systems of equations.

To answer a problem by graphing, just plot the given equations on a graph and identify the point(s) where they all intersect.

So, a number of items Uan should sell to earn a profit of $60 or above:
We know that Uan earns $5 for each item he sells.

So, let x be the number of items Uan should sell.

Then, the equation will be:

5x = 60

Now, solve as follows:
5x = 60

x = 60/5

x = 12

Profit of $60: 12 items to sell

Profit more than $60: More than 12 items to sell

So, by resolving an equation, we may determine that Uan needs to sell 12 or more goods in order to generate a profit of $60 or more.

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Answer:

[tex]\frac{5}{y}[/tex]

Step-by-step explanation:

5 divided by y can be written as a fraction.

[tex]\frac{5}{y}[/tex] 5 being the numerator with y as the denominator showing it's 5 divided by y

Answer:

is this a question ?

Step-by-step explanation:

so tough in which class are you in

dont go to school

Answer:

Slope-intercept form: y = 3x + 5

Slope: 3

y-intercept: 5

Step-by-step explanation:

When the equation of a line is written in the slope-intercept form, we can easily identify the slope from the coefficient of x and the y-intercept from the constant.

The slope-intercept form is expressed as y = mx + c, where m is the slope and c is the y-intercept. Note that other textbooks might use y = mx + b instead, but both have the same meaning as both m and b or c will be replaced by a certain value.

To rewrite an equation in the slope-intercept form, isolate the y term on the right-hand side of the equation and divide the whole equation by the coefficient of y.

Working

[tex]y - ( - 7) = 3(x - ( - 4))[/tex]

Expand:

[tex]y + 7 = 3(x + 4)[/tex]

[tex]y + 7 = 3x + 12[/tex]

Subtract both sides by 7:

[tex]y = 3x + 12 - 7[/tex]

[tex]\bf{y = 3x + 5}[/tex]

Since the coefficient of y is already 1, we have arrived at our final answer.

When the equation is in the slope-intercept form, the slope can be identified from the coefficient of x. This refers to the number that comes before x which is multiplied to x.

Thus, the slope is 3.

The y-intercept is the value of the constant in the slope-intercept form. This refers to the number that is not attached to any variables.

Hence, the y-intercept is 5.

Note that the y-intercept can also be found by substituting x = 0 into the equation.

The x-intercept occurs at y = 0. Since we have the equation of the line, we can substitute y = 0 into the equation to find the value of x when y = 0.

Working

y = 3x + 5

When y = 0,

0 = 3x + 5

3x = -5

Divide both sides by 3:

[tex]x = - \frac{5}{3} [/tex]

I have attached the graph as an image. If only a sketch is required, there are 3 pieces of information that needs to be labelled on the graph:

Additional resources:

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The statement is true.

An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process.

What is orthogonal set?

Two vectors are perpendicular to one another if they are orthogonal to one another. i.e., the two vectors' dot product has a value of zero. Definition.

             Every pair of vectors in a set, v1, v2,..., vn, is said to be orthogonal, hence the set of vectors is said to be mutually orthogonal.

The gram-Schmidt process generates an orthogonal set of vectors with the property that for each k, the vectors v1...vk span the same subspace as that spanned by x1...xk from a linearly independent collection of x1, x2,..., xp.

The validity of the claim must be established.

It is accurate to say that.

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Around 1800 is another method to characterize the beginning of the Romantic era.

Romanticism was an artistic, literary, musical, and intellectual movement that began in Europe around the end of the 18th century and peaked in most places between 1800 and 1850. The key to answering this issue is to first understand the definition of the word, Circa. Circa means "about." So, while the precise year cannot be determined, the Romantic Era began around 1800. The French Revolution inspired many people to participate in artistic movements during this time period. In summation, the beginning of the romantic era can be described as being approximately 1800.The Romantic Period began about 1798 and continued until 1837. The political and economic climate of the time strongly affected this period, with many writers drawing inspiration from the French Revolution. During this time, there was a great deal of social change. Around 1800 is another method to characterize the beginning of the Romantic era.

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Answer:

  (e)  3x +5

Step-by-step explanation:

You want the width of a box if its volume is 21x² +14x -35, its length is 7, and its height is x-1.

The volume can be factored as ...

  21x² +14x -35 = 7(3x² +2x -5) = 7(3x +5)(3x -3)/3 = 7(x -1)(3x +5)

The volume is the product of length, width, and height. If length and height are 7 and (x-1), then width is the remaining factor: 3x +5.

The width of the boxes is 3x +5.

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Answer:

For the first graph:

Domain: -∞ [tex]\leq[/tex] x [tex]\leq[/tex] ∞

Range: y [tex]\geq[/tex] 3

For the second graph:

Domain: 0 [tex]\leq[/tex] x [tex]\leq[/tex] 4

Range: y [tex]\leq[/tex] 64

Step-by-step explanation:

For the second graph, I'm assuming that that point are stopping at (0,0) and (4,0) that's why I wrote that for the domain. If it doesn't stop, then the domain would be the same and the first graph.

When the distribution is not symmetrical, the median is typically the preferred measure of central tendency because it is less impacted by outliers and skewed data than the mean.

The median is the value that divides a population, a sample of data, or a probability distribution into its higher and lower halves. It could be referred to as "the middle" value for a data set.

The fundamental difference between the mean and the median when describing data is that the median is more representative of the "normal" value because it is not skewed by a tiny fraction of exceptionally big or small values.

Due to the fact that income distribution can be very skewed, the median income, for instance, might be a better indicator of what is considered a "normal" income.

In robust statistics, the median is crucial because it is the most resilient statistic with a breakdown point of.

Hence, When the distribution is not symmetrical, the median is typically the preferred measure of central tendency because it is less impacted by outliers and skewed data than the mean.

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Answer: [tex]x=-1, 2[/tex]

Step-by-step explanation:

If [tex]ab=0[/tex], then [tex]a=0[/tex] and/or [tex]b=0[/tex].

So, [tex]x+1=0[/tex] or [tex]2x-4=0[/tex].

[tex]x+1=0 \implies x=-1\\\\2x-4=0 \implies x=2\\\\\therefore x \in \{-1, 2\}[/tex]

The average rate of  change of f(x) over the interval [-4,-1] is 2  , the value of f(-1) is 3  and value of f(-4) is  -3 .

In the question ,

a linear graph of the function f(x) is given ,

we have to find the rate of change of the function f(x) ,

We know that the Rate Of Change of the function f(x) over interval [a,b] is calculated using the formula ;

Rate Of Change [tex]=[/tex] (f(b) - f(a))/(b - a)

the interval is [-4,-1] ,

So , a = -4 and b = -1 .

From the graph , the value of f(-1) is = 3 ,

and the value of f(-4) is = -3 ,

So , By the Rate Of Change formula ,

we get ,

Rate Of Change = (f(-1) - f(-4))/(-1 -(-4))

= (3 -(-3))/(-1 + 4)

= (3 + 3)/3

= 6/3

= 2

Therefore , the rate of change over the interval [-4,-1] is 2 .

The given question is incomplete , the complete question is

Calculate the average rate of change of f(x) (shown in the graph) over the interval [-4, -1] using the formula. The value of f(-1) is. The value of f(-4) is. The average rate of change of f(x) over the interval [-4, -1] is .

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Answer:

[tex]\huge\boxed{\sf 3 \ baskets}[/tex]

Step-by-step explanation:

Let the baskets missed in game 2 be x.

Says that, the shooting of both the games were accurate.

So,

[tex]\displaystyle \frac{Baskets \ made \ in \ game \ 1}{Baskets \ missed \ in \ game \ 1 } =\frac{Baskets \ made \ in \ game \ 2}{Baskets \ missed \ in \ game 2} \\\\\frac{15}{5} =\frac{x}{1} \\\\Cross \ Multiply\\\\15 \times 1 = 5 \times x\\\\15 = 5x\\\\Divide \ 5 \ to \ both \ sides\\\\3 = x\\\\x = 3\\\\\rule[225]{225}{2}[/tex]

The quadratic equation with the roots  3+i and 3-i is:

x^2 - 6x + 10 = 0

We know that a quadratic equation with the roots a and b is written as:

(x - a)*(x - b) = 0

Here the roots are 3 + i, and 3 - i.

Replacing that we get:

(x - 3 - i)*(x - 3 + i) = 0

Expanding the product on the left we get:

x^2 + x*(-3) + x*i + (-3)*x + (-3)*(-3) + (-3)*i + (-i)*x + (-i)*(-3) - i^2 = 0

Remember that i^2 = -1, then:

x^2 -3x + x*i - 3x + 9 - 3i - x*i + 3i + 1 =0

x^2 - 6x + 10 = 0

That is the equation for the given roots.

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The equation of the asked line is y = 2.

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The coordinates of line are given → (x, y) = (-2, 2), (0, 2), (2, 2) and (4, 2)

Considering any two points, (2, 2) and (4, 2)

Slope = (y2-y1)/(x2-x1) = 2-2/-2 = 0

Since, the slope is zero, so, the line will be parallel to x-axis.

The equation of the line is y = mx + c

Solving for c, we get,

2 = 0*4 + c

c = 2

Hence, the equation is y = 2

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Answer: ( g+G) (x) =12+2x

Step-by-step explanation:

i used an math ap it is  an app you can get on your phone

The equation that would represent Mariana’s production costs, given the number of shirts produced, would be y = 450 + 0.72x

Mariana is starting a company that sells t - shirts and her production cost include a fixed cost for materials of $450.

It also includes variable costs of $ 0. 72 per shirt made. The formula for the cost is therefore:

Total cost = Fixed cost for materials + Cost per shirt made x Number of shirts produced

With the number of shirts produced being x, and the total cost being y, the equation becomes:

y = 450 + 0.72x

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Answer:

2) ∡1 = 170°

Step-by-step explanation:

1) The angles in red have the same measure, and those in blue have the same measure.

A comparison of multiple treatments and the use of the double-blind method are two fundamental components of all statistically designed experiments. (6) Compare various treatments; assign patients to treatments at random.

What is double-blind method?

A kind of clinical experiment in which neither the participants nor the researcher is aware of the treatment or intervention that each participant is receiving until the trial is complete.

                      This reduces the likelihood of skewed study outcomes.

What is a sample of a double-blind study?

Imagine, for instance, that researchers are looking into the effects of a novel medication.

                            The participants in a double-blind study would not be aware of who was receiving the real medication and who was receiving a placebo, and neither would the researchers who interact with them.

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The complete question is -

Two essential features of all statistically designed experiments are (2 Points) O use enough subjects; always have a control groups O always have a placebo group; use the double - blind method O use a block design; use chance to assign subjects to treatments O compare several treatments; use the double - blind method O compare several treatments; use chance to assign subjects to treatments.

The slope and y-intercept of this function is

B. The slope is 5/6, The y-intercept is (0, -3

Linear function is a function of the form y = mx + c

m = slope

c = intercept

The slope is represented as m, The slope by definition is the ratio change of the output values to the input values

the slope, m calculated using the points (0, -3) and  (6, 2)

m = (y₀ - y₁) / (x₀ - x₁)

m = (2 - -3) / (6 - 0)

m = (5) / (6)

m = 5/6

c = y intercept, from the table

c = -3

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The speed of the current of the river will be 4.47 km per hour.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

A riverboat goes at a normal of 14km each hour in still water. the riverboat voyages 110km east up the Ohio waterway and 110km west down a similar stream in a sum of 17.5 hours.

Let 'y' be the speed of the current of the river. Then the equation is given as,

T = T₁ + T₂

17.5 = [110 / (14 + y)] + [110 / (14 - y)]

17.5 / 110 = (14 - y + 14 + y) / (196 - y²)

196 - y² = 176

y² = 20

y = 4.47 km per hour

Then the speed of the current of the river will be 4.47 km per hour.

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A) 3x+9y-1 = 3(x+3y) -1, here distributive property is used the 3 is multiplied with each term inside the bracket.

What is algebraic operations?
Any of the common arithmetic operations, such as addi - tion, subtraction, multiplication, division, raising to a complete number power, and taking roots, are considered basic algebraic operations in mathematics (fractional power). These operations could be applied to numerical data, in which case people are frequently referred to as arithmetic operations. Similar operations can be carried out on factors, algebraic expressions, and, more generally, on components of algebraic structures like groups and fields. Another way to describe an algebraic operation is as a function from the Cartesian power of the a set to the same set. The dot product is an example of an operation that can be described by compounding simple algebraic operations, and is referred to as an algebraic operation.

b) 7x+5y-5y = 7x

Here the Additive inverse of 5y is used which is -5y .

c) (x-4)(x+3) = 0

here distributive property of addition over multiplication is used.

d) 4x+5x = 5x+4x

here commutative property is used.

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H represents integer -2 on the number line

Opposite value of -2 is 2

Absolute value of -2 is 2

What is opposite and absolute value of an integer?

Opposite integers: Two numbers that are the same distance from zero but on opposite sides.

Absolute value of integer: The integer’s distance from zero on the number line.

Every integer has an opposite.

The sum of two opposites is always zero.

For example 5 is opposite of -5

According to the given question:

The integer represented by the H lies on the left hand side of zero that is negative side of number line.

H represents -2 on the number line

Opposite value of -2 is 2

Absolute value of -2 is 2

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[tex](\stackrel{x_1}{r}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{r}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{-4} \\\\\\ \cfrac{-4}{10-r}=-4\implies -4=-40+4r\implies 36=4r\implies \cfrac{36}{4}=r\implies 9=r[/tex]

i) The number of participants that would need to attend the forum for Patricia to break even is of: 30.

ii) The number of participants that would need to attend the forum for Patricia to obtain a profit of Ksh 337,500 is of: 75.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the coefficients are given as follows:

Hence in the context of this problem, the meaning of each coefficient is given as follows:

Hence the values of each coefficient are given as follows:

Hence the profit function is given as follows:

P(x) = 7500x - 225000.

She breaks even when P(x) = 0, hence:

7500x - 225000 = 0

7500x = 225000

x = 225000/7500

x = 30 participants.

She makes a profit of 337500 when:

7500x - 225000 = 337500

x = (337500 + 225000)/7500

x = 75 participants.

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