What is the value of the expression below? (3 1/2 - 9 3/4) entre (-2.5)

PLEASE HELP

Answer:

4

Step-by-step explanation:

When multiplying those fractions, you multiply the top (numerators) by each other and you'll get 60

Then when you divide the denominators you'll get 15.

60 divided by 15 is 4.

10/3 x 6/5 = 4

Step-by-step explanation:

You multiply the numerators together, same with the denominator. You get 60/15. You divide those numbers so you get 4 as your answer. Hope this helps!

It is possible to find DH based on the stated theorem

This rule states that if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant.

Mathematically:

Given the following parameters

CG=4 in

CH=5 in

GE=6 in

Substitute to check if we can find DH

(4+6)*4 = (5+DH)*5

10*4 = 25 + 5DH

40 - 25 = 5DH

15 = 5DH
DH = 3in

Therefore it is possible to find DH based on the stated theorem

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If a normal distribution has a mean of 4 and a standard deviation of 1.5. what is the z-score of x= 5.5 is 1

The mean of the normal distribution = 4

Standard deviation of the normal distribution = 1.5

The value of x = 5.5

The z-score of the normal distribution = The mean of the normal distribution / Standard deviation of the normal distribution

Substitute the values in the equation

The z-score of the normal distribution  = (5.5 - 4) / 1.5

Substract the terms

= 1.5 / 1.5

= 1

Hence, if a normal distribution has a mean of 4 and a standard deviation of 1.5. what is the z-score of x= 5.5 is 1

The complete question is:

suppose a normal distribution has a mean of 4 and a standard deviation of 1.5. what is the z-score of x = 5.5

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New amount = starting value x (1- percent)

New amount = 250 x (1-0.34)

New amount = 250 x 0.66

New amount = 165

Answer:

85

Step-by-step explanation:

34/100

\(34 \div 100 \times 250 = 85\)

We can form a total of 42 stacks of 8 cans each from the 7 boxes of cat food received by the pet store.

Now, We can use a bar model to represent the total number of cans and the number of stacks that can be formed.

First, let's find the total number of cans:

7 boxes x 48 cans/box = 336 cans

Now, let's use a bar model to represent this total:

| 336 cans of food  |

Next, we want to find how many stacks of 8 cans we can form. We can use a separate bar model to represent the size of each stack:

| 42 stacks of 8 cans each |

Hence, The number of stacks that can be formed, we need to divide the total number of cans by the number of cans in each stack:

336 cans ÷ 8 cans/stack = 42 stacks

So the final bar model looks like this:

| 336 cans of food  | = | 42 stacks of 8 cans each |

Therefore, we can form a total of 42 stacks of 8 cans each from the 7 boxes of cat food received by the pet store.

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The derivate of f(y) is -9y^6 - 33y^4 + 84y^2.

To differentiate the given function f(y), we will use the product rule and the chain rule of differentiation. Let's break down the function into two parts:

f(y) = (1 y^2 - 9 y^4) * (y + 3y^3)

Using the product rule, we can differentiate each part separately:

f'(y) = (1 y^2 - 9 y^4)' * (y + 3y^3) + (1 y^2 - 9 y^4) * (y + 3y^3)'

The derivative of the first part is:

(1 y^2 - 9 y^4)' = 2y - 36y^3

Now we need to differentiate the second part using the chain rule. Let's call the inner function u:

u = y + 3y^3

Using the power rule, the derivative of u with respect to y is:

u' = 1 + 9y^2

Now we can substitute these values back into our original equation:

f'(y) = (2y - 36y^3) * (y + 3y^3) + (1 y^2 - 9 y^4) * (1 + 9y^2)

Simplifying further:

f'(y) = 2y^2 + 6y^4 - 36y^4 - 108y^6 + y^2 + 9y^4 - 9y^6 + 81y^2

Combining like terms:

f'(y) = -9y^6 - 33y^4 + 84y^2

Therefore, the derivative of f(y) is -9y^6 - 33y^4 + 84y^2.

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Answer:

21

Step-by-step explanation:

Because 9 + 12 equals 21 and when you're adding negative numbers you don't add the negative part So it's going to be 21 by itself

Answer:

x= 25+20y

Step-by-step explanation:

De acuerdo a la situación planteada, la expresión algebraica debe indicar que 25€ que es el valor por la visita más 20€ multiplicado por el número de horas trabajadas es igual al dinero total que se debe pagar. La expresión es:

x= 25+20y, donde

x= valor total a pagar

y= número de horas trabajadas

Answer:

The answer would be A.

Step-by-step explanation:

You would take 9 x 10^5 = 900000 and divide that by 16 to get 56250.

After that, you move the decimal over by 4 to make it a number with only one number above zero in front of the decimal to make 5.625 (negate the 0 bc it does not mean anything after you moved the decimal over)

Since you moved it over by four places, the exponent next to the 10 will be 4, making the final answer 5.625 x 10^4

Good luck and hope this helps!!

Answer:

x=12

Step-by-step explanation:

this may be wrong if the first equation where y is 9 and x is 8 is meant to be switched

Answer:d=(16-x)30

Step-by-step explanation:

The car traveled 600 miles if it has 10 gallons of gas left in the tank.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that is equal.

To determine the equation that represents the relationship between the distance traveled by car and the amount of gas left in the tank.

Let the distance traveled by car would be d miles,

and the amount of gas left in the tank would be x gallons

Since the car had a 16-gallon fuel tank

So the amount of gas left in the tank would be 16 - x

When driven on a highway, it has a gas mileage of 30 miles per gallon.

To find the equation of the distance we have to calculate the product of gas left in the car and the mileage of the car.

So the required equation as:

⇒ d = (16-x)30.

If it has 10 gallons of gas left in the tank

Substitute x = 10 in the above equation, we get

⇒ d = (16-10)30.

⇒ d = (20)30.

⇒ d = 600.

Therefore, the car traveled 600 miles if it has 10 gallons of gas left in the tank.

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The per capita birth rate of the given population of manned wolves 246 with number of birth as 83 is equals to 0.34  births per individual per year.

Number of births = 83

Initial population = 246

Time period = 1 year

Number of deaths = 42

The per capita birth rate is calculated as the number of births per individual in the population.

Typically expressed as a rate per unit time.

Per capita birth rate as follows,

Per capita birth rate

= (Number of births / Initial population) × (Time period / 1 year)

Substituting these values into the formula, we get,

Per capita birth rate

= (83 / 246) × (1 / 1)

= 0.3374

Rounding this to the hundredths place, we get,

Per capita birth rate = 0.34

Therefore, the per capita birth rate for this population of maned wolves is 0.34 births per individual per year.

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The independent variable in this study is the place of residence, specifically whether the participants live in Florida or Pennsylvania.

The researcher is interested in examining the relationship between the location of residence and the amount of money spent on clothes. By selecting participants from both Florida and Pennsylvania, the researcher can compare the spending habits of individuals from these two locations and determine if there is a significant difference. Thus, the independent variable is the categorical variable that defines the groups being compared, which in this case is the place of residence.

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Answer: same-side interior angles

Step-by-step explanation:

Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines.

Q9.1: To justify the proposal, we need to compare the benefits of the road expansion (in terms of reduced travel time) with its costs. The value of time represents the monetary value individuals place on their time spent traveling. In this case, the value of time is $1.5 per minute.

First, let's calculate the reduction in travel time resulting from the road expansion. We compare the two road performance functions: t1​ = 30 + 6×10−6q and t2​ = 20 + 3×10−6q. By subtracting t2​ from t1​, we can determine the time savings: Δt = t1​ - t2​ = (30 + 6×10−6q) - (20 + 3×10−6q)    = 10 + 3×10−6q Next, we multiply the time savings by the number of trips (q) to obtain the total time savings: Total Time Savings = Δt × q = (10 + 3×10−6q) × q Now, we can determine the monetary value of the time savings by multiplying the total time savings by the value of time ($1.5 per minute): Monetary Value of Time Savings = Total Time Savings × Value of Time                             

= (10 + 3×10−6q) × q × $1.5  If the monetary value of the time savings exceeds the construction cost of $9.6×107, then the proposal is justified. Q9.2: To determine the construction cost at which the proposal becomes justified, we set the monetary value of the time savings equal to the construction cost and solve for q: (10 + 3×10−6q) × q × $1.5 = $9.6×107 By solving this equation for q, we can find the corresponding construction cost at which the proposal becomes justified.

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Answer:

Bar will not fit in the box.

Step-by-step explanation:

Given:

Length = 9 in

Width = 8 in

Height = 3 in

Length of bar = 13 in

Find:

Bar fit in box or not

Computation:

If length of bar is equal to length of diagonal  than it will fit in box.

Diagonal of a cuboid = √l² + b² + h²

Diagonal of a cuboid = √9² + 8² + 3²

Diagonal of a cuboid = √81 + 64 + 9

Diagonal of a cuboid = √154

Diagonal of a cuboid = 12.40 in

Diagonal of a cuboid < Length of bar

So,

Bar will not fit in the box.

Answer:

Answer:

Bar will not fit in the box.

Step-by-step explanation:

Given:

Length = 9 in

Width = 8 in

Height = 3 in

Length of bar = 13 in

Find:

Bar fit in box or not

Computation:

If length of bar is equal to length of diagonal  than it will fit in box.

Diagonal of a cuboid = √l² + b² + h²

Diagonal of a cuboid = √9² + 8² + 3²

Diagonal of a cuboid = √81 + 64 + 9

Diagonal of a cuboid = √154

Diagonal of a cuboid = 12.40 in

Diagonal of a cuboid < Length of bar

So,

Bar will not fit in the box.

Step-by-step explanation:

For m = -5/2, the vectors a and b are collinear.

For m = 74/5, the vectors a and b are perpendicular.

a) Two vectors are collinear if they are scalar multiples of each other. In other words, if a = kb for some scalar k, then a and b are collinear.

Comparing the corresponding components of vectors a and b, we have:

2 = -1k

5 = mk

12 = -6k

From the first equation, we get k = -2.

Substituting this value of k into the second equation, we have:

5 = -2m

Solving for m, we get m = -5/2.

b) Two vectors are perpendicular if their dot product is zero. In other words, if a · b = 0, then a and b are perpendicular.

Taking the dot product of vectors a and b, we have:

a · b = (2)(-1) + (5)(m) + (12)(-6)

Simplifying this equation, we get:

-2 + 5m - 72 = 0

Combining like terms, we have:

5m - 74 = 0

Solving for m, we get m = 74/5.

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False. A rectangle is conventionally used in a process flowchart to represent a storage area or queue. Triangles are typically used in flowcharts to represent decision points, where a choice must be made between two or more alternatives.

Rectangles are used to represent activities or operations, while arrows connecting the shapes indicate the flow or direction of the process. The use of standardized shapes in flowcharts helps to make them easily understandable and accessible to a wide range of individuals, regardless of their background or experience with the specific process being depicted.

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The probability of "mission accomplished" for the given scenario can be determined using conditional probability. Let p_k represent the probability of k survivors. The probability of "mission accomplished" is given by P("mission accomplished") = P(0 survivors) * p_0 + P(1 survivor) * p_1 + P(2 survivors) * p_2 + P(3 survivors) * p_3 + P(4 survivors) * p_4.

To find the probability of "mission accomplished" when there are two survivors, we need to calculate P(2 survivors) given that the mission is accomplished.The probability mass function (PMF) of the total medals given out, denoted by N, can be obtained by considering the number of survivors and the mission outcome. The expected value of N can then be calculated by summing the products of each possible value of N and its corresponding probability.

In this scenario, we are given that four X-men are assigned a dangerous mission, each with an independent probability of 0.5 to sacrifice during the mission. The probability of "mission accomplished" depends on the number of survivors. To find the overall probability of "mission accomplished," we calculate the sum of the probabilities of achieving the mission for each possible number of survivors.

To find the probability of two survivors given that the mission is accomplished, we consider the conditional probability P(2 survivors | "mission accomplished").

Finally, we determine the PMF and expected value of the total medals given out, N, by considering the number of survivors and the mission outcome.

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Answer:

All 90 rabbits are white.

Step-by-step explanation:

"112 times as many white rabbits as black rabbits"

112 · Black rabbits = White rabbits

"a cage with 90 rabbits ", "Each rabbit is either black or white."

Black rabbits + White rabbits = 90 rabbits

How many white rabbits are in the cage?

Intuitevely  we can see that all the 90 rabbits must be white,

since for 1 black rabbit will be join by 112 white ones.

We can calculate:

112 · Black rabbits = White rabbits

We can substitute the   Black rabbits by White rabbits/112

       Black rabbits + White rabbits = 90 rabbits

White rabbits/ 112 + White rabbits = 90 rabbits

                    113 White rabbits /112 = 90 rabbits

                               White rabbits = 112· 90/113 rabbits

                                 White rabbits = 10080/113 rabbits

                                 White rabbits ≈ 89.2 rabbits

                                 White rabbits ≈ 90 rabbits  (if we round up)

Answer:

reflection or translation

Step-by-step explanation:

this is more then likely the answer depending on how the 2 shapes are aligned and matched.

eg(the sides or shape is the exact same)

translation: is the exact shape and size just moved to another area

Answer:

take away the ', ', and '

Step-by-step explanation: if you take them away a'b'c' becomes abc

The dimension which this rug should have is 23 feet × 13 feet.

Mathematically, the area of a rectangle can be calculated by using this formula;

A = LW

Where:

Let x represent the width of this rug.

Also, the dimension of this rug is given by:

299 = (29 - 2x) × (19 - 2x)

299 = (29 - 2x)(19 - 2x)

Evaluating the equation, we have:

299 = 551 - 58x - 38x + 4x²

4x² - 58x - 38x + 551 - 299 = 0

4x² - 96x + 252 = 0

Dividing all through by 4, we have:

x² - 24x + 63 = 0

x² - 21x - 3x + 63 = 0

x(x - 21) - 3(x - 21) = 0

(x - 3)(x - 21) = 0

x = 3 or 21 feet.

Note: The plausible solution is x = 3.

Therefore, the width and length of this rug is given by:

Length = 29 - 2(3)

Length = 29 - 6

Length = 23 feet.

Width = 19 - 2(3)

Width = 19 - 6

Width = 13 feet.

In conclusion, the dimension of this rug is 23 feet × 13 feet.

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Answer:

All points on line CD are equidistant from A and B

Step-by-step explanation:

Given that point A is the center of circle A and point B is the center of circle B,  and the circumference of circle A passes through the center of circle B which is point B and vice versa.

Therefore we have;

The radius of circle A = The radius of circle B

Which gives;

The distance of the point C to the center A is equal to the distance of the point C to the center B

Similarly, the distance of the point D to the center A is equal to the distance of the point D to the center B

So also the distances of all points on the line from the center A  is equal to the distances of all points on the line from the center B.

Answer: It is worth it.

Step-by-step explanation:

If a customer sends 101 - 200 texts in a month, they get charged 8 cents per text.

If they send 201 - 300, they get charged 6 cents per month.

If you have sent 200 texts, your charge for the month will therefore be:

= 200 * 8

= $16.00

If you send the 201th text, you will be charged 6 cents per text. Total charge would be:

= 201 * 6

= $12.06

If you send 1 more text, it will be worth it because you will save:

= 16 - 12.06

= $3.94

Answer:

D. (0, 2); minimum

Step-by-step explanation:

Use the formula  

x = − b/ 2 a

to find the maximum and minimum.

( 0 , 2 )

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( 0 , 2 )

Focus:  

( 0 , 9 /4 )

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

7

4

x

y

−

2

6

−

1

3

0

2

1

3

2

6

Rewrite in vertex form and use this form to find the vertex  

( h , k )

.

( 0 , 2 )

Answer:

The answer is 6%

Step-by-step explanation:

\( i = \frac{prt}{100} \)

300=1250×4×r/100

30000=5000r

divide both sides by 5000

5000r/5000=30000/5000

r=6%

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

5x - 6 = 3x + 4

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

5(5) - 6 = 3(5) + 4

25 - 6 = 15 + 4

19 = 19

Answer:

X= 5

Step-by-step explanation:

5*5-6=19

3*5+4=19

The area of the triangular parcel is approximately 58206.36 sq ft. The value of the land, priced at $2000 per acre, is approximately $2680.



To find the area of the triangular parcel of land, we can use Heron's formula. Heron's formula states that the area of a triangle with sides of lengths a, b, and c is given by:

Area = sqrt(s * (s - a) * (s - b) * (s - c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the sides of the triangle are:

a = 140 feet, b = 450 feet, c = 420 feet

Let's calculate the area:

s = (140 + 450 + 420) / 2 = 505

Area = sqrt(505 * (505 - 140) * (505 - 450) * (505 - 420))

     = sqrt(505 * 365 * 55 * 85)

     ≈ 58206.36 square feet

Rounded to 2 decimal places, the area of the parcel of land is approximately 58206.36 square feet.

Now let's calculate the value of the parcel of land. We know that the land is valued at $2000 per acre, and 1 acre is equal to 43,560 square feet.

Let's convert the area of the parcel from square feet to acres:

Area_in_acres = 58206.36 / 43560 ≈ 1.34 acres

The value of the parcel of land is:

value = Area_in_acres * $2000

     = 1.34 * 2000

     = $2680

Rounded to 2 decimal places, the value of the parcel of land is $2680.

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