Guys l got this question wrong can anyone explain to me why

Answer:

41o + 442.2 ≤ 680

o ≤ 5.8

Step-by-step explanation:

First you have to add up the cost of the bike and gear which should be $442.2 and we already know the cost per outfit is $41 and the budget is $680. When an equation says "some or all" it means less than or equal to.

The inequality should be set up as:

Cost per outfit (# of outfits) + cost of bike and gear ≤ budget

and then solve for # of outfits

Step-by-step explanation:

Answer:

Step-by-step explanation:

here is an example that should help Houa has $800 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.

She buys a new bicycle for $483.09.

She buys 2 bicycle reflectors for $4.55 each and a pair of bike gloves for $31.96.

She plans to spend some or all of the money she has left to buy new biking outfits for $55.17 each.

Write and solve an inequality which can be used to determine xx, the number of outfits Houa can purchase while staying within her budget.

\text{Find the cost of the bike and gear:}

Find the cost of the bike and gear:

\text{cost of bike + (\# of reflectors)(cost of reflectors) + cost of gloves}

cost of bike + (# of reflectors)(cost of reflectors) + cost of gloves

\$483.09+(2)(\$4.55)+\$31.96

$483.09+(2)($4.55)+$31.96

\color{blue}{\$524.15}

$524.15

\text{We know:}

We know:

\color{blue}{\text{cost of bike \& gear}}=

cost of bike & gear=

\,\,\color{blue}{\$524.15}

$524.15

\color{red}{\text{cost per outfit}}=

cost per outfit=

\,\,\color{red}{\$55.17}

$55.17

\color{purple}{\text{budget}}=

budget=

\,\,\color{purple}{\$800}

$800

\text{number of outfits}=

number of outfits=

\,\,x

x

\text{Inequality:}

Inequality:

"Some or all" means she can also spend less than $800, so we will use the \leq≤ ("less than or equal to") symbol:

\color{red}{\text{cost per outfit}}\cdot\text{\# of outfits}+\color{blue}{\text{cost of bike \& gear}}\le\color{purple}{\text{budget}}

cost per outfit⋅# of outfits+cost of bike & gear≤budget

\boxed{\color{red}{55.17}x+\color{blue}{524.15}\le\color{purple}{800}}

55.17x+524.15≤800

​

\text{Solve:}

Solve:

\color{red}{55.17}x+\color{blue}{524.15}\le

55.17x+524.15≤

\,\,\color{purple}{800}

800

-\color{blue}{524.15}\phantom{=}

−524.15=

\,\,-\color{blue}{524.15}

−524.15

Subtract 524.15 from both sides

\color{red}{55.17}x\le

55.17x≤

\,\,275.85

275.85

\frac{\color{red}{55.17}x}{\color{red}{55.17}}\le

55.17

55.17x

​

≤

\,\,\frac{275.85}{\color{red}{55.17}}

55.17

275.85

​

Divide both sides by 55.17

x\le

x≤

\,\,5

5

Answers:

Inequality: 55.17x+524.15\le80055.17x+524.15≤800

Answer: x \le 5x≤5

The Mean of a standard normal distribution is always equal to 0. This statement is true.

The standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one. The density curve of a standard normal distribution is bell-shaped and symmetric. Its total area under the curve is equal to 1.00.A normal distribution with a mean (µ) of zero and a standard deviation (σ) of one is called a standard normal distribution. Any normal distribution can be converted into a standard normal distribution by using a process known as standardization. Z-score formula is used to find the probability and value associated with any normal distribution.What is a normal distribution?A normal distribution is a statistical term that describes a symmetrical, bell-shaped probability distribution that has a particular mathematical formula. It's used to explain and assess natural phenomena such as height, blood pressure, and intelligence quotient (IQ).A normal distribution is a probability distribution with a bell-shaped curve that is symmetrical. The mean (µ) is the center of the curve, while the standard deviation (σ) determines its width. Most of the values in a standard normal distribution are concentrated within three standard deviations of the mean, as seen in the figure. The standard normal distribution is one of the most often utilized continuous probability distributions in statistical theory.

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Answer:

$30.31

Step-by-step explanation:

In order to find the answer, you would need to add $23.66 plus $6.65.

Hope this helps and pls do mark me brainliest if you can:)

I would have to say $30.31 because you would add both those together!!!

Answer:

The numbers 4 and 16 represent the values of p at which Emilia's monthly profit would be zero. In other words, if Emilia charges $4 or $16 for each loaf, her monthly profit would break even, meaning she would neither make a profit nor incur a loss.

Step-by-step explanation:

In the factored form -15(P - 4)(P - 16), the numbers 4 and 16 represent the values of p at which the monthly profit becomes zero. These values are known as the profit-maximizing points or the roots of the expression.

Setting the expression -15(P - 4)(P - 16) equal to zero and solving for P, we find:

P - 4 = 0 --> P = 4

P - 16 = 0 --> P = 16

Therefore, the numbers 4 and 16 represent the values of p at which Emilia's monthly profit would be zero. In other words, if Emilia charges $4 or $16 for each loaf, her monthly profit would break even, meaning she would neither make a profit nor incur a loss.

These values serve as important points for Emilia to consider when setting the price of her loaves, as charging below $4 or above $16 would result in a negative profit.

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Answer:

16.35

Step-by-step explanation:

Using an inverse normal distribution, we can calculate the z score given the percentile, which can then be used to find our value.

First, we can use an inverse normal distribution calculator to figure out that the z score given the 75th percentile is 0.674.

Next, we know that the z score is (observed value - mean) / standard deviation. We can plug our values in to get

\(\frac{x-15}{2} = z\\\frac{x-15}{2} = 0.674\\x-15 = 0.674 * 2\\x = 0.674 * 2 + 15\\x= 16.348\)

Rounding, we get x = 16.35 as our answer

9514 1404 393

Answer:

  782,400,000

Step-by-step explanation:

You can multiply it out:

  7.824 × 100,000,000 = 782,400,000

_____

With reference to the place value chart attached, the digit immediately to the left of the decimal point in the mantissa has the place value indicated by the power of ten.

The smallest integer that could represent the number is 104

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

A mathematical statement

The mathematical statement is given as:

the difference between a number and 25 is at least 79

Represent the number with x

So, we have the following representation

the difference between x and 25 is at least 79

Express the statement as an expression

This gives

x - 25 ≥ 79

Add 25 to both sides of the inequality expression

x ≥ 104

Hence, the smallest number is 104

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D) 2.65 gallons of gas left in his car after taking both friends home when 1.05 gallons of gas is used to take one friend home and three tenths gallon to take the other friend home.

Manny used 1.05 + 0.3 = 1.35 gallons of gas to take his friends home.

Since he originally had 4 gallons of gas, he had 4 - 1.35 = 2.65 gallons of gas left in his car after taking both friends home.

So the answer is D.

Here is the solution in more detail:

Manny started with 4 gallons of gas.

He used 1.05 gallons of gas to take one friend home.

He used 0.3 gallons of gas to take the other friend home.

The total amount of gas he used was 1.05 + 0.3 = 1.35 gallons.

Therefore, he had 4 - 1.35 = 2.65 gallons of gas left in his car.

I hope this helps! Let me know if you have any other questions.

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Answer:

25:15

Step-by-step explanation:

Answer:

Question 1: ∠3 and ∠7 are corresponding angles.

Question 2: ∠2 and ∠8 are alternate interior angles.

Question 3: ∠4 and ∠6 are alternate exterior angles.

Question 4: ∠2 is congruent to ∠6.

Question 5: ∠8 is not congruent to ∠1.

Question 6: If ∠2 measures 132°, the measure of ∠7 would be 48°.

The height and width of the box shipped is 15 and 8 inches respectively.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2( lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, The width of the box is seven inches less than the height.

Assuming the width to be 'w' hence the height(h) = w + 7 and has a length of 24 inches with a volume of 2880 cubic inches.

We know the volume(V) of a cuboid is l×w×h.

Therefore,

24×w×(w + 7) = 2880.

24w(w + 7) = 2880.

24w² + 168w = 2880.

6w² + 42w = 720.

w² + 7w = 120.

w² + 7w - 120 = 0.

w² + 15w - 8w - 120 = 0.

w(w + 15) - 8(w + 15) = 0.

(w + 15)(w - 8) = 0.

w = 8 and hence h = 8 = 7 = 15.

So, the width and height of the box is 8 and 15 inches respectively.

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The number of elements in the sample space for this experiment is 969.

If a person eating at a cafeteria must choose 3 of 19 vegetables on offer, we can calculate the number of elements in the sample space, or the total number of possible outcomes, using the formula for combinations:

nCr = n! / [r!(n - r)!]

where n is the total number of items in the set and r is the number of items being chosen.

In this case, we have 19 vegetables and we want to choose 3 of them, so we can plug in n = 19 and r = 3:

19C3 = 19! / [3!(19 - 3)!]

= 19! / (3!)(16!)

= 969

Therefore, there are 969 possible combinations of 3 vegetables that a person can choose from a selection of 19 vegetables.

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From the graph provided, we will need to find the slope and also coordinates in other to find the equation of the graph.

For the slope,

From the graph,

Where x=0, y=0 which can be written in coordinates of (x2, y2) as (0, 0)

Where x=3.5, y=-7 which can be written in coordinates of (x1, y1) as (3.5, -7)

To find the slope,

The slope of the graph m is -2

The formula for the equation of a graph is,

Where (x1, y1) is (3.5, -7),

Hence, the equation of the graph is deduced above.

In a transportation problem, the activities correspond to the shipping lanes while the supply of each activity is the quantity shipped.

In the transportation problem, activities are the shipping lanes that are taken to transport goods from sources to destinations.

The quantities to be shipped are known as supplies or availabilities. The transportation problem is a linear programming problem that is used to determine how to allocate resources to obtain a minimum cost or maximum profit.The transportation problem is one of the most widely used problems in linear programming. It is used to solve many real-world problems such as supply chain management, production planning, and logistics.

In the transportation problem, we are given a set of sources and a set of destinations. The supply and demand at each source and destination are also given. The objective is to minimize the total cost of transporting the goods from sources to destinations while satisfying the demand and supply constraints.

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We have that The  inequality that will represent how many  laps Lucy must swim in order for her to spend the same number or more minutes exercising than Dan.

\(20*3\frac{1}{2}a \geq 30+2 \frac{3}{4}a\)

From the question we are told

Generally the Inequality equation for the Statement  is mathematically given as

\(20*3\frac{1}{2}a \geq 30+2 \frac{3}{4}a\)

Therefore

The  inequality that will represent how many  laps Lucy must swim in order for her to spend the same number or more minutes exercising than Dan.

\(20*3\frac{1}{2}a \geq 30+2 \frac{3}{4}a\)

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Answer:

556$

Step-by-step explanation:

$6 x 112 = 672$

1228-672 = 556

Answer:

Step-by-step explanation:

b

Answer: 160

Step-by-step explanation:

first workout the multiplication sums [22 x 28 = 616]

[18 x 28 = 505] then add 2 numbers together [616 + 505 = 1120]

then divide the answer by 2 [1160 / 2 = 160

Answer:

To find the area of the page in Bernice's workbook, we need to multiply the width by the length.

The width of the page is 2/3 foot, and the length is 5/6 foot. Multiplying these two values gives us:

(2/3) * (5/6) = (10/18) * (10/18) = (10/18)^2

Simplifying this expression gives us:

(10/18)^2 = (5/9)^2 = (5/9)(5/9) = (25/81)

The area of the page in Bernice's workbook is therefore 25/81 square feet.

Answer:

1. none are odd

2. 21,35

3.none

4.none

5.27,81

Answers:

1. None (all even)

2. 21 & 35

3. None (all even)

4. None (all even)

5. 27 & 81

The value of the function f (6) will be 32.

What is substitution method?

Find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The value of the function;

f (1) = 1

And, The function is;

f (n) = 2 f (n - 1)

Now, Find the value of the function f (6) as;

Since, The function is;

f (n) = 2 f (n - 1)

Substitute n = 2, we get;

f (n) = 2 f (n - 1)

f (2) = 2 f (2 - 1)

f (2) = 2 f (1)

f (2) = 2 x 1

f (2) = 2

And, Substitute n = 3, we get;

f (n) = 2 f (n - 1)

f (3) = 2 f (3 - 1)

f (3) = 2 f (2)

f (3) = 2 x 2

f (3) = 4

And, Substitute n = 4, we get;

f (n) = 2 f (n - 1)

f (4) = 2 f (4 - 1)

f (4) = 2 f (3)

f (4) = 2 x 4

f (4) = 8

And, Substitute n = 5, we get;

f (n) = 2 f (n - 1)

f (5) = 2 f (5 - 1)

f (5) = 2 f (4)

f (5) = 2 x 8

f (5) = 16

And, Substitute n = 6, we get;

f (n) = 2 f (n - 1)

f (6) = 2 f (6 - 1)

f (6) = 2 f (5)

f (6) = 2 x 16

f (6) = 32

Thus, The value of the function f (6) will be 32.

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Answer:

Step-by-step explanation:

Hence, the expression is 46k - 32.

Hi!

First, let's distribute -8:

-8(-5k+4)+6k

\(\rm{40k-32+6k\)

Combine Like Terms:

\(\rm{46k-32\) (Answer)

Hope it helps!

~Misty~

Answer:

X - 2.

Step-by-step explanation:

                x - 2

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

x2 – x + 1 ) x3 – 3x2 + 3x – 2

                  x3 -    x2  + x

                  -------------------

                            -2x^2 + 2x - 2

                             -2x^2 + 2x - 2

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

                                   0

Answer:

The answer is x-2

Step-by-step explanation:

took the test

The correct expression for f(x) is (B) 2x²(x²+1).

Given the function f(x) = x² + 1, we need to determine the correct expression for f(x) among the given options.

By expanding the expression x² + 1, we have:

f(x) = x² + 1.

Comparing this with the given options, we find that option (B) 2x²(x²+1) matches the expression x² + 1.

Therefore, the correct expression for f(x) is (B) 2x²(x²+1).

The expression 2x²(x²+1) represents the product of 2x² and (x²+1), which matches the given function f(x) = x² + 1.

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At the optimal level where the present worth of cost is $3 million, the B/C ratio is 0 that is present worth of cost that optimizes the benefit/cost ratio.

To find the present worth of cost that optimizes the benefit/cost ratio, we need to solve the given equation:

(PW of benefits)² - 18 * (PW of cost) + 54 = 0

Let's solve this equation to find the present worth of cost.

By rearranging the equation, we have:

(PW of benefits)² = 18 * (PW of cost) - 54

Taking the square root of both sides, we get:

PW of benefits = √(18 * (PW of cost) - 54)

To optimize the benefit/cost ratio, we want to find the value of PW of cost that minimizes the denominator. In this case, we can consider the derivative of the benefit/cost ratio with respect to the PW of cost and set it equal to zero to find the minimum value. Taking the derivative of the benefit/cost ratio with respect to the PW of cost, we get:

d(B/C) / d(PW of cost) = -18 / (PW of benefits)

= -18 / √(18 * (PW of cost) - 54)

Setting the derivative equal to zero, we have:

-18 / √(18 * (PW of cost) - 54) = 0

Solving this equation, we find that PW of cost = $3 million.

Therefore, the present worth of cost for the project that optimizes the benefit/cost ratio is $3 million. To calculate the B/C ratio at the optimal level, we substitute the value of PW of cost into the equation:

(PW of benefits)² - 18 * (PW of cost) + 54 = 0

(PW of benefits)² - 18 * 3 + 54 = 0

(PW of benefits)² = 0

PW of benefits = 0

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The absence of unexpected values or discontinuities is referred to as a function's continuous nature.

A continuous function is one in which a shift in the argument causes a continuous change in the value of the function, which is a change without a noticeable jump. This shows that there are no abrupt changes in value or discontinuities. More exactly, a function is continuous if it is possible to guarantee that, even with arbitrarily small changes to its parameter, its value won't change dramatically. Any function that is discontinuous is referred to as such.

A function is referred to as continuous if it is constant for all values of x inside its domain. The ability to simulate and evaluate physical occurrences and mathematical relationships involving smoothly varying numbers makes continuous functions crucial in many branches of mathematics and science.

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The volume of water in the bowl when the ball is not completely submerged is 35984π - 4188.79π = 31795.21π cm³. and when the ball is completely submerged is 35984π cm³.

Case 1: The ball is not completely submerged:

To find the volume of water in the bowl when the ball is not completely submerged, we need to calculate the volume of the hemisphere and subtract the volume of the ball.

The radius of the hemisphere is half the diameter, so it is 52/2 = 26 cm. The volume of a hemisphere is given by (2/3)πr^3. Substituting the radius, we get (2/3)π(26^3) = 35984π cm³.

The radius of the ball is half the diameter, so it is 20/2 = 10 cm. The volume of a sphere is given by (4/3)πr^3. Substituting the radius, we get (4/3)π(10^3) = 4188.79π cm³.

Case 2: The ball is completely submerged:

When the ball is completely submerged, the volume of water in the bowl is equal to the volume of the hemisphere. Therefore, the volume of water in the bowl when the ball is completely submerged is 35984π cm³.

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Given:

RSTU is a parallelogram and ST is congruent to TU.

To find:

Why RSTU must also be a rhombus?

Solution:

We know that the opposite sides of a parallelogram are parallel and congruent.

RSTU is a parallelogram. So,

\(RS\parallel TU\) and \(ST\parallel RU\)            [Property of parallelogram]            ...(i)    

\(RS\cong TU\) and \(ST\cong RU\)            [Property of parallelogram]            ...(ii)    

It is given that,

\(ST\cong TU\)                ...(iii)

From (ii) and (iii), we get

\(RS\cong TU\cong ST\cong RU\)          ...(iv)

From (i) and (iv), we get RSTU is a rhombus because all sides are congruent and appositive sides are parallel.

A parallelogram with each side equal is known as rhombus.

As for the given parallelogram all the sides are equal, therefore it should be rhombus.

Parallelogram is a closed shaped quadrilateral polygon in which opposite sides are equal and parallel and opposite angles are equal.

Rhombus is a closed shaped quadrilateral polygon in which all the sides are equal and opposites sides are parallel also opposite angles are equal.

Given information-

In the given problem \(RSTU\) is a parallelogram.

In the given parallelogram \(ST\) is congruent to \(TU\).

The image of parallelogram is attached below.

For a parallelogram opposite sides are equal. thus,

\(RS=TU\\RU=ST\)

As In the given parallelogram \(ST\) is congruent to \(TU\). Thus,

\(ST=TU\)

Now the side \(ST\) is equal to the side \(RU\) and side \(RS\) is equal to the side \(TU\). Thus,

\(RS=ST=TU=RU\)

All the sides of a rhombus is equal in length. A parallelogram with each side equal is known as rhombus.

As all the sides are equal of the given parallelogram. Thus the given parallelogram is rhombus.

Hence, as for the given parallelogram all the sides are equal, therefore it should be rhombus.

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