The sum of 2 numbers is 34 and their product is 285 find the difference of the two numbers.​

Answer:

its 40 dude

Step-by-step explanation:

The missing sides or angles that makes the triangle ABC congruent to PDF by SAS are AB and PD, BC and DF and ∠B and ∠D

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal .

In other words, two triangles are congruent when the corresponding sides and angles are equal.

Hence, let's find the missing side of angle that makes the triangle ABC congruent to triangle PDF by SAS.

Hence,

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent by SAS.

Therefore, the missing sides are as follows:

AB ≅ PD

BC ≅ DF

∠B ≅ ∠D

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The value of the definite integral is -28/3

Using the power rule of integration, we can find the antiderivative of t^2 - 5 as follows:

∫(t^2 - 5) dt = (1/3)t^3 - 5t + C

where C is the constant of integration.

To evaluate the definite integral, we substitute the limits of integration into this expression and take the difference:

∫^-1_1 (t^2 - 5) dt = [(1/3)(1^3) - 5(1)] - [(1/3)(-1^3) - 5(-1)]

= (1/3 - 5) - (1/3 + 5)

= (-14/3)  (16/3)

= -28/3

Therefore, the value of the definite integral is -28/3.

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The amount of monthly increase will be 8$

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.

Solution:

Given Equation is x² - 16x + 64 = 0

Using the formula method we will first find the discriminant

D = b² - 4ac

D = 256 - 256 = 0

x = -b +- √D / 2a

x = 16/2 = 8

x = 8

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If the decision variables for a problem have to be integers, rounding the linear programming optimal solution for that problem will always result in a feasible solution.

However, this solution may not always be optimal. It may result in either a feasible or infeasible solution depending on the problem constraints.

Rounding may also result in an optimal solution if the optimal solution happens to already have integer values for the decision variables. Therefore, rounding may result in a feasible and optimal solution or just a feasible solution but not necessarily always optimal.

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Answer:

3/4 pounds

Step-by-step explanation:

Answer:

  swap the middle two steps to put them in order

Step-by-step explanation:

The steps in order would be ...

Take a co-ordinate

Check option D

\(\\ \sf\longmapsto y=\sqrt[3]{x+3}+3\)

\(\\ \sf\longmapsto 3=\sqrt[3]{-3+3}+3\)

\(\\ \sf\longmapsto 3=\sqrt[3]{0}+3\)

\(\\ \sf\longmapsto 3=3\)

Hence verified

Option D is correct

Answer:

0.0625 miles

Step-by-step explanation:

There is a faster way but this way makes more sense

1/4 miles = 440 yards

440/4 (since 4 people)

110 yards per person

Put back into miles

Everyone ran 0.0625 miles

The value of c for which f '(/4) = 1 in the function f(x) = cx ln(cos x) is approximately c = -2.

To find the value of c, we first need to calculate the derivative of f(x) with respect to x. Using the product rule and the chain rule, we obtain:

f '(x) = c ln(cos x) - cx tan(x).

Next, we substitute x = π/4 into f '(x) and set it equal to 1:

f '(/4) = c ln(cos(/4)) - c(/4) tan(/4) = 1.

Simplifying the equation, we have:

c ln(√2/2) - c(1/4) = 1.

ln(√2/2) can be simplified to ln(1/√2) = -ln(√2) = -ln(2^(1/2)) = -(1/2) ln(2).

Now, rearranging the equation and solving for c:

c ln(2) = -1 + c/4.

c(ln(2) - 1/4) = -1.

c = -4/(4ln(2) - 1).

Calculating the approximate value, c ≈ -2.

Therefore, the value of c for which f '(/4) = 1 in the function f(x) = cx ln(cos x) is approximately c = -2.

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Answer:

∠JKL = 98

Step-by-step explanation:

the two small vertical lines on JK & KL means that

JK & KL are the same length which means that

same length means same degrees

∠KJL & ∠KLJ are the same degrees

∠KJL & ∠KLJ are both 41 degrees

triangles are 180

41 + 41 = 82

180 - 82 = 98

a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.

The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

     = 200 / √400

     = 200 / 20

     = 10

To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:

For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.

For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.

We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.

(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).

The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).

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Answer:

no

Step-by-step explanation:

i dont

Answer: for part c the gas would not remain a liquid.

Step-by-step explanation: Because as stated, the tempature dropped to -49 degrees farhenheit, and for instance, oxygen, a gas, becomes a liquid if you cool it down to - 297 degrees Fahrenheit (really, REALLY cold) and if you cool it down further to -362 degrees Fahrenheit it becomes a solid, so therefore it definetly couldnt stay a liquid if the temp raised so high. it would seconense back.

i do not know if this is correct but i did try so i am deeply sorry if this fails.

Answer: 13

Step-by-step explanation:

Answer:

a. $6 =  ($500 + $2q) / q

b. 125

Average cost =  ($500 + $2q) / q

($500 + $2x 125) / 125 = $6

Step-by-step explanation:

Average cost = total cost / quantity produced

total cost = fixed cost + variable cost

Fixed costs are costs that do not vary with output. e.g. the cost of the logo

Variable costs are costs that vary with production e.g. cost of printing and cutting

Variable cost = $2 x quantity of parking ticket sold

let q =  quantity of parking ticket sold

variable cost = 2q

$6 = ($500 + $2q) / q

to determine the number of parking ticket to be sold for average cost to be $6, take the following steps

Multiply both sides of the equation by q

6q = 500 + 2q

collect like terms

6q - 2q = 500

4q = 500

q = 125

125 tickets have to be sold for average cost to the $125

to justify the answer, replace 125 in the first equation to confirm if $6 would gotten as the average cost

($500 + $2q) / q

($500 + $2x 125) / 125 = $6

There is 60 total number of marbles in the bag for the probability of selecting a red marble is 7/10.

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.

let the total possible outcome = x

probability of selecting a red marble = P(R) = 7/10

Given that there are 42 red marbles tgen:

42/x = 7/10

x = (42 × 10)/7 {cross multiplication}

x = 420/7

x = 60

Therefore, given the probability of selecting a red marble to be 7/10, the total number of marbles in the bag is derived to be 60

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The relationship between distance traveled, in miles, d, and driving time, in hours, t. The Equation is 60 miles × 10 hours = 1023 miles

Distance:

Distance is a numerical or sometimes qualitative measurement of the distance between objects or points. In physics or common usage, distance can refer to a physical length or an estimate based on other criteria. Since spatial cognition is a rich source of conceptual metaphors in human thought,  the term is also often used metaphorically to refer to a measure of the amount of difference between two similar objects or some degree of separation.

Most of these concepts of distance, whether physical or metaphorical, are formalized in mathematics using the concept of metric spaces.

According to the Question:

total distance (one way): 1,023 miles

average driving speed: 60 miles per hour

driving time on first day: 10 hours.

Now,

Average driving speed = 60 miles per hour

Driving time on first day = 10 hours.

Total distance on first day = 60 miles × 10 hours

                                           = 600 miles/ Hour.

and,

The relationship obtained from the Given equation is:

60 miles + 10 hours = 1023 miles

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Answer: You have 500milliliters remaining.

Step-by-step explanation:

1 liter equals 1000 milliliters, so half of that or 0.5 of it would be 500 milliliters.

Answer:

Hello! r would equal 0.4. To do this, first subtract 4 from both sides. So (10r+4-4=8-4). You are then left with 10r=4. So then you divide both sides by 10. 10r/10=4/10. So you are left with 0.4. r=0.4

Step-by-step explanation:

The triangle and square have the same area,

The first thing to do is calculate the area of both figures.

The area of the square is given by:

Area_square = side * side

The side of the square is 2 cm, so:

Area_square = 2 * 2 = 4 cm2

The area of the triangle is given by:

Area_triangle = base * height / 2

The base is 2 cm, and the height is 4 cm, so we have:

Area triangle = 2 * 4 / 2 = 4 cm2

So we have that Area_square = Area triangle = 4 cm2

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The respective sides of the two square pyramids are proportionate since they are comparable. Let's use A cm2 to represent the smaller pyramid's surface area.

The square of the ratio of the corresponding side lengths of comparable pyramids is equal to the ratio of their surface areas. As a result, we may construct the equation shown below:

(s_small / s_large) = (A / 2304)²

where the sides of the smaller and larger pyramids, respectively, are represented by the lengths s_small and s_large, respectively.

We are unable to immediately solve for A since we lack the precise side length data. The ratio of the surface areas is still measurable, though:

(s_small / s_large) = (A / 2304)²

Using the information provided, we can determine that the surface area of.

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Given:

Line segment is CD.

To find:

The beginning steps of constructing a perpendicular bisector of CD.

Solution:

To draw a perpendicular bisector of a line segment, first we need to open the compass more than half of the distance between the end points of the segment.

End points of the segment CD are C and D.

So, to draw a perpendicular bisector of CD, the compass should be stretched out  more than halfway from point C to the other endpoint D.

Therefore, the correct option is C.

The probability of two fingerprints matching is extremely low.

Fingerprints are unique to each individual due to the complex patterns and ridges present on the skin's surface. The study of fingerprints, known as fingerprint identification or fingerprint analysis, has been extensively researched and utilized in forensic science and criminal investigations.

The uniqueness of fingerprints is attributed to several factors, including the intricate and random patterns formed by ridges, the presence of minutiae points (e.g., ridge endings, bifurcations), and the variability in the number and arrangement of ridges. These characteristics make it highly improbable for two individuals to have identical fingerprints.

Statistical analyses have shown that the probability of two fingerprints matching by chance is extremely low, often estimated to be in the range of 1 in billions or even trillions. This level of uniqueness and individuality makes fingerprints a reliable and widely accepted biometric identifier.

The study of fingerprints and their uniqueness plays a crucial role in forensic science, law enforcement, and identity verification systems. By comparing fingerprints found at crime scenes with known prints in databases, investigators can establish connections, identify suspects, and support criminal investigations. The high degree of uniqueness in fingerprints provides a valuable tool for accurate identification and serves as a foundation for fingerprint-based authentication systems used in various applications, such as access control and personal devices.

In summary, the uniqueness of fingerprints is well-established, and the probability of two fingerprints matching by chance is extremely low. This characteristic forms the basis of fingerprint identification and has significant implications in forensic science and biometric applications.

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Answer:

 s=19, r=30,c=11

Caroline is young

Step-by-step explanation:

Hope this helps !

Answer:

{2, 6, 14}

Step-by-step explanation:

Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.

To get the range, we will substitute the values of the domain into the given function as shown;

when x = -1

f(-1) = 4(-1)+6

f(-1) = -4+6

f(-1) = 2

when x = 0

f(0) = 4(0)+6

f(0) = 0+6

f(0) = 6

when x = 2

f(2) = 4(2)+6

f(2) = 8+6

f(2) = 14

Hence the required range are {2, 6, 14}

The cost of 1 bag of almond is $1.25

What is linear equation?

An equation in which the highest power of the variable is one is known as linear equation.

We can find the cost of 1 bag of almond as shown below:

Let the cost of 1 bag of peanut be $x

Let the cost of 1 bag of cashews be $y

Let the cost of 1 bag of almonds be $z

x + y + z=3      (1)

2x+2y=3.50

Dividing by 2

x + y=1.75

Putting in equation (1)

1.75+z=3

z=3-1.75

z=1.25

Hence, the cost of 1 bag of almond is $1.25

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Answer:

Step-by-step explanation:

Roots:

The equation:

Step-by-step explanation:

Let the roots be a and b

To form a equation the formula is

\(\sf x^2-(a+b)x+ab\)

\( \sf➡ {x}^{2} - ( - 3 + 5)x + ( - 3)5 \\ \sf \: ➡ {x}^{2} - 2x - 15 = 0\)