Matthew drives 30 miles in 24 minutes. If he drove two hours in total at the same rate, how far did he go? Before you try that problem, answer the question below. How many minutes did Matthew drive in total?

One of the factors is present in all of the items mentioned. The order of the value of the other factor will match the order of the value of the product.

To learn more about Multiplicative comparison refer to:

https://brainly.com/question/171046

#SPJ1

To find the consumer's and producer's surplus, we need more information about the demand and supply functions or the market equilibrium.

You provided the demand function D(x) = 25, but we require additional details to proceed with the calculations. The consumer's surplus is the difference between the maximum price consumers are willing to pay and the price they actually pay. It represents the benefit or surplus gained by consumers in a market transaction.

The producer's surplus is the difference between the minimum price producers are willing to accept and the price they actually receive. It represents the benefit or surplus gained by producers in a market transaction.

To calculate these surpluses, we typically need information about the supply function, equilibrium price, and equilibrium quantity. These values help determine the areas of the consumer's and producer's surpluses on the supply-demand graph.

Please provide the necessary information about the supply function, equilibrium price, or any other relevant details so that I can assist you in calculating the consumer's and producer's surplus accurately.

Learn more about equilibrium here

https://brainly.com/question/24735820

#SPJ11

The correct answer is 4) observed score.

The observed score refers to the actual score that is recorded or measured in a particular situation. This score can be influenced by various factors such as measurement error, observer bias, or the conditions under which the score was obtained.

The observed score represents the result that is directly obtained from a test, questionnaire, or any other measurement tool.

The true score refers to the actual ability, knowledge, or any other characteristic that the individual possesses. The true score is typically unobservable and is often estimated by considering the average of multiple observed scores.

The error score represents the difference between the observed score and the true score. This score reflects the extent to which measurement error or other factors influenced the recorded score.

False score refers to a score that is intentionally or unintentionally altered or manipulated to present a different picture of an individual's performance or ability. It is different from the error score in the sense that it is not a result of measurement error, but rather an intentional manipulation of the score.

Therefore, the score that you would actually record is an example of the observed score.

To know more about observed score refer to:

brainly.com/question/13125938

#SPJ4

Answer:

( x + 5) (x - 5)

Step-by-step explanation:

Answer:

123

Step-by-step explanation:

Answer:

I think the answer is B. 54

Answer:

D. 53

Step-by-step explanation:

"without the outlier"...the outlier is 91 because it is way higher than all the other number which are in the 50's. So you just find the mean of 51, 54, 55, and 52.

To do this, you add all the numbers together and divide by how many numbers there are.

51+54+55+52=212

212/4=53

The mean is 53

Answer: I believe the answer would be g x $3.25 and f x $0.74

Step-by-step explanation:

If each pound of granola costs $3.25, then you would multiply however many pounds you’re buying, by the price per pound.

For example, if I was buying 6 pounds of granola then I would multiply six by $3.25.

6 x $3.25= $19.50

Answer:

72 degrees

Step-by-step explanation:

A central angle equals the degree of the arc.

If the circumference is 20 and the arc is 4 than means the

arc is 4/20= 1/5 of the circumference.

A circles circumference is also always equal to 360 degrees.

So we need to find out what 1/5 of 360 is to find the degree of the arc.

So then 1/5*360= 72

so the Arc is equal to 72 degrees of the whole circle, which means the central angle is equal to 72  degrees as well.

The inner products in the given space C[0, 1] are:

⟨e^x, e^(-x)⟩ = 1

⟨x, sin(πx)⟩ = 1 / π

⟨x^2, x^3⟩ = 1 / 6

To compute the inner products in the space C[0, 1] with the given inner product defined by ⟨f, g⟩ = ∫₀¹ f(x)g(x) dx, we can calculate the following:

⟨e^x, e^(-x)⟩:

Using the inner product definition, we have:

⟨e^x, e^(-x)⟩ = ∫₀¹ e^x * e^(-x) dx

= ∫₀¹ e^(x - x) dx

= ∫₀¹ dx

= [x] from 0 to 1

= 1 - 0

= 1

⟨x, sin(πx)⟩:

Similarly, we can calculate:

⟨x, sin(πx)⟩ = ∫₀¹ x * sin(πx) dx

= -[x * (cos(πx)) / π] from 0 to 1 + ∫₀¹ (cos(πx) / π) dx

= -[(1 * (cos(π)) / π) - (0 * (cos(0)) / π)] + (1/π) * ∫₀¹ cos(πx) dx

= -[(-1 / π) - 0] + (1/π) * [(sin(πx) / π)] from 0 to 1

= (1 / π) - (1 / π) * [(sin(π) - sin(0))]

= (1 / π) - (1 / π) * 0

= 1 / π

⟨x^2, x^3⟩:

Similarly, we can calculate:

⟨x^2, x^3⟩ = ∫₀¹ x^2 * x^3 dx

= ∫₀¹ x^(2+3) dx

= ∫₀¹ x^5 dx

= [(x^(5+1)) / (5+1)] from 0 to 1

= [x^6 / 6] from 0 to 1

= (1^6 / 6) - (0^6 / 6)

= 1 / 6

Therefore, the inner products in the given space C[0, 1] are:

⟨e^x, e^(-x)⟩ = 1

⟨x, sin(πx)⟩ = 1 / π

⟨x^2, x^3⟩ = 1 / 6

Learn more  about inner products here:

https://brainly.com/question/30967583

#SPJ11

a) Alexandra's fortnightly repayments: Approximately $340.16

b) The outstanding balance on the loan after 6 fortnights: Approximately $1914.99

To calculate Alexandra's fortnightly repayments and the outstanding balance on the loan after 6 fortnights, we can use the formula for calculating the loan repayment and the formula for calculating the compound interest.

Calculate the fortnightly interest rate:

The annual interest rate is 8.12%, so the fortnightly interest rate would be (8.12% / 26) = 0.3123%.

Calculate the fortnightly repayment amount:

To calculate the loan repayment, we can use the formula for the equal installment loan repayment amount:

Repayment = (Loan amount * (interest rate * (1 + interest rate) ^ number of payments)) / ((1 + interest rate) ^ number of payments - 1)

Here, the loan amount is $2000, the interest rate is 0.3123% (as calculated in Step 1), and the number of payments is 6 fortnights.

Repayment = ($2000 * (0.003123 * (1 + 0.003123) ^ 6)) / ((1 + 0.003123) ^ 6 - 1)

Using a calculator, the fortnightly repayment amount is approximately $340.16.

Calculate the outstanding balance after 6 fortnights:

To calculate the outstanding balance after 6 fortnights, we can use the compound interest formula:

Outstanding balance = Loan amount * (1 + interest rate) ^ number of payments - Total repayments

Here, the loan amount is $2000, the interest rate is 0.3123% (as calculated in Step 1), the number of payments is 6 fortnights, and the total repayments is the repayment amount calculated in Step 2 multiplied by 6 fortnights.

Outstanding balance = $2000 * (1 + 0.003123) ^ 6 - ($340.16 * 6)

Using a calculator, the outstanding balance after 6 fortnights is approximately $1914.99.

​for such more question on compound interest.

https://brainly.com/question/23344689

#SPJ8

Answer:

\({ \tt{ {4x}^{6} - {16x}^{2} = {(2x {}^{3}) }^{2} - {(4x)}^{2} }} \\ \)

• from difference of squares:

\({ \boxed{ \rm{( {a}^{2} - {b}^{2} ) = (a - b)(a + b)}}}\)

• a → 2x³

• b → 4x

\({ \underline{ \underline{ \tt{ = \: (2 {x}^{3} - 4x)(2 {x}^{3} + 4x) \: }}}}\)

Como pongo mi brainly en español porq esta en inglés

Complete Question

The area of grandiose rectangular painting is 56 in.² the width of the painting is 7 inches what is the diagonal of the painting

Answer:

The diagonal of the rectangular painting is  \(z = 10.63 \ m\)

Step-by-step explanation:

The diagram for this question is shown on the first uploaded image

From the question we are told that  

    The area is \(A = 56 \ in^2\)

    The width of the painting is \(w = 7 \ in\)

Generally the area of the rectangle is mathematically represented as

          \(A = l * w\)

where \(l\) the length which is mathematically evaluated as

          \(l = \frac{A}{w}\)

substituting value  

         \(l = \frac{56}{7}\)

          \(l = 8 \ in\)

According Pythagoras theorem

     \(z ^ 2 = l^2 +w^2\)

Where z is the diagonal of the rectangular painting

  Now substituting values

      \(z = \sqrt{7^2 + 8^2}\)

      \(z = 10.63 \ m\)

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

A distribution is a way of displaying data, consisting of three primary components: shape, center, and spread. The shape is the overall pattern of the distribution, while the center is the point where the distribution is balanced. The spread is the range of values of the data, often measured by the standard deviation or the interquartile range (IQR). The distribution can be visualized through graphs like histograms, box plots, or scatter plots.

A brief description of a distribution should include its shape, center, and spread. The spread is the term that should be included in the blank space.A distribution can be described as a way of displaying data. It gives us an idea about how the data are spread out.

The three primary components of any distribution are the shape, center, and spread. Shape refers to the overall pattern of the distribution. It tells us whether the data are symmetric or skewed. The symmetry means that the left half of the distribution is a mirror image of the right half, whereas a skewed distribution is not symmetrical. The tail of a distribution describes the spread of a skewed distribution. It refers to the parts of the distribution that extend out from the center of the graph.The center refers to the point where the distribution is balanced. In symmetric distributions, the center is the same as the mean and median. However, in a skewed distribution, the mean and median differ from each other.

The spread refers to the range of values of the data. It tells us how much the data are scattered or spread out. A small spread indicates that the data points are close to each other, while a large spread suggests that the data points are far from each other. It is often measured by the standard deviation or the interquartile range (IQR).The distribution of data can be visualized through different graphs like histograms, box plots, or scatter plots.

To know more about distribution Visit:

https://brainly.com/question/29664850

#SPJ11

The criteria that we could use to prove the congruency that ΔABC ≅ ΔDEC is;

Vertical Angles are Congruent. We could then use AAS to prove that ΔABC ≅ ΔDEC

There are different triangle congruency postulates namely:

SSS: Side Side Side Congruency Postulate

SAS: Side Angle Side Congruency Postulate

ASA: Angle Side Angle Congruency Postulate

AAS: Angle Angle Side Congruency Postulate

HL: Hypotenuse Leg Congruency Postulate

We want to prove that ΔABC ≅ ΔDEC

Now, from the given image, we see that we are given 2 congruent sides.

However, angle ECD is congruent to angle DCA because they are vertically opposite angles and vertical angles are congruent.

Thus, the triangles are congruent by AAS Congruency postulate.

Read more about Triangle Congruence Postulate at; https://brainly.com/question/29268713

#SPJ1

Farmer Joe will save $12.49 on his purchase of 5 bags of sunflower seeds if he buys them on Sunday. This is because the discount offered on Sunday is 25%, and each bag of sunflower seeds is sold for $18.99.

The total cost of 5 bags of sunflower seeds is $94.95. With the 25% discount, the total cost is reduced to $82.46. This means that Farmer Joe will save $12.49 on his purchase.

Therefore, the correct answer is a) Less than $25.Here are the steps in more detail:

The discount offered on Sunday is 25%. Each bag of sunflower seeds is sold for $18.99.Therefore, the total discount on 5 bags of sunflower seeds is 25% * 5 * $18.99 = $12.49.The total cost of 5 bags of sunflower seeds is $94.95.With the 25% discount, the total cost is reduced to $94.95 - $12.49 = $82.46.Therefore, Farmer Joe will save $12.49 on his purchase.

Learn more about discounts here:- brainly.com/question/13501493

#SPJ11

Answer:

The two angles coterminal with π/10 are 21π/10 and -19π/10

Step-by-step explanation:

To find a two angles that are coterminal with π/10, we add and subtract 360°(that is 2π) from π/10.

So, the first angle coterminal with π/10 is

A = π/10 + 2π

taking the L.C.M which is 10, we have

A = (π + 20π)/10

A = 21π/10

The second angle coterminal with π/10 is

B = π/10 - 2π

taking the L.C.M which is 10, we have

B = (π - 20π)/10

B = -19π/10

So the two angles coterminal with π/10 are 21π/10 and -19π/10

Answer:

4

Step-by-step explanation:

The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

Learn more about volume of cone here: brainly.com/question/16419032

#SPJ11

Answer:

a=10

Step-by-step explanation:

The question can be interpreted as

F∝a

If we introduce proportionality constant k, we have

F= k.a

28= k. 7

k= 28/7

k= 4

Then the equation can be written as

F= 4.a

To find, a when F = 40?

F= 4.a

40=4 × a

a= 40/4

a= 10

Answer:

A, (-2,2)

Step-by-step explanation:

Jeff is approximately 517.26 feet away from the Sasquatch nest.


To find the distance between Jeff and the Sasquatch nest, we can use trigonometry. We have the angle and distance between Carl and Jeff, as well as the angles between Carl and the nest and Jeff and the nest. By creating a triangle with Carl, Jeff, and the nest as the vertices, we can use the law of cosines to determine the distance between Jeff and the nest.
Let's denote the distance between Carl and the nest as "x." Using the law of cosines, we can set up the equation:
x^2 = 540^2 + 517.26^2 - 2(540)(517.26)cos(180° - (69° + 52°))
Simplifying the equation, we get:
x^2 ≈ 540^2 + 517.26^2 - 2(540)(517.26)cos(59°)
Solving for x, we find:
x ≈ √(540^2 + 517.26^2 - 2(540)(517.26)cos(59°))
Evaluating the expression, we get:
x ≈ 517.26 feet.
Therefore, Jeff is approximately 517.26 feet away from the Sasquatch nest.

Learn more about approximately here
https://brainly.com/question/31695967



#SPJ11

It should be noted that 10^-3 × 10^6 in scientific notation is 10³.

It should be noted that scientific notation is simply used in Mathematics to express the numbers that are either too small or too large.

This will be illustrated based on the information given. In this case, we want to multiply 10^-3 × 10^6. This will be illustrated thus:

= 10^-3 × 10^6.

It should be noted that since the question is about multiplication, the powers will be added.

= 10^-3 × 10^6.

= 10³

The answer is 10³.

Learn more about power on:

brainly.com/question/15361818

#SPJ1

Answer:

Step-by-step explanation:

radius = diameter / 2 = 5/2 = 2.5 in

V = radius^2 x pI x height = 2.5^2 x pi x 8 = 157.1 in^3 (round to the nearest tenth)

cups = Volume of a can / Volume of a cup = 157.1 / 14.44 = 10.9 (round to the nearest tenth)

As per the given confidence interval, the value of P is lees than significant.

Confidence interval:

In statistics, a range around a measurement that conveys how precise the measurement is referred as confidence interval.

Given,

A precision instrument is guaranteed to read accurately to within 2 units. a sample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355. find a 90% confidence interval for the population variance.

Here we need to find the assumptions of the given situation,

From the given question we have identified the following,

Reading of instruments = 353, 351, 351, and 355.

Confidence interval = 90% = 0.09

Number of units = 2.

Based on these details, the standard deviation of this temple is 0.7.

So, the Z score is the same as the sample mean minus the population mean divided by the standard error, which is 2.857.

Therefore, P value was less than significant.

To know more about Confidence interval here.

https://brainly.com/question/24131141

#SPJ4

To construct a proof of the conclusion "-(∀x) (S(x) ∧ P(x))" from the given premises "-(3x) (P(x) ∧ M(x))" and "(3x) (M(x) ∧ S(x))," we can use a proof by contradiction.

We will assume the negation of the conclusion and derive a contradiction. Here's the proof:

Therefore, we have derived a contradiction, which allows us to conclude that the negation of the assumption is false. Thus, we can conclude:

-(∀x) (S(x) ∧ P(x))

To learn more about premises visit:

brainly.com/question/29699382

#SPJ11

The events of adopting a cat and adopting a dog are not mutually exclusive.

Mutually exclusive events are events that cannot occur at the same time. In this case, adopting a cat and adopting a dog can both occur simultaneously because it is possible for someone to adopt both a cat and a dog. Therefore, these events are not mutually exclusive.

When events are not mutually exclusive, it means that they have an intersection or overlap, and it is possible for both events to happen together. In the context of adopting a cat and adopting a dog, many people choose to have both as pets, so there is a significant possibility of adopting both a cat and a dog concurrently.

Therefore, adopting a cat and adopting a dog are not mutually exclusive events.

Learn more about mutually exclusive events at:

https://brainly.com/question/27588497

#SPJ4

Answer:

i think the answer is D