2/3 x +3 =1/4x-7
solve with work
​

d = rt

d/r  rt/r

d/r = t

We are told that Jason has $325 and that he earns $105 per week. That means that if "w" is the number of weeks then the amount of money he has in total is what he has saved by the product of $105 by the number of weeks. That is, if A is the amount he has, then:

Now, we are asked how many weeks it takes to get to $900. This means that we set A = 900 and solve for "w".

To solve for "w" we first subtract 325 on both sides:

Now we divide both sides by 105

Solving the operations:

Therefore, it takes Jason 5.5 weeks to get to $900

Answer:

4ln x +ln 3-lnx

4ln x -ln x+ln3

3ln x+ln 3

ln(3x+3)is equivalent.

The basis of the subspace S in V4 over Z2 consists of the vectors: (1 1 0 0), (0 1 1 0), (1 0 1 1). The dimension of the subspace S is 3.

To determine a basis for the subspace S, we need to find a set of vectors that are linearly independent and span the subspace. The given vectors in the subspace S are: (0 0 0 0), (1 1 0 0), (1 0 1 0), (0 0 0 1), (0 1 1 0), (1 1 0 1), (1 0 1 1), (0 1 1 1).

We can observe that the first vector (0 0 0 0) is the zero vector, which is not useful for spanning the subspace. However, the other seven vectors are linearly independent and span the subspace S. By removing the redundant vectors and keeping only the linearly independent ones, we obtain the basis for S: (1 1 0 0), (0 1 1 0), (1 0 1 1).

The dimension of a subspace is defined as the number of vectors in its basis. In this case, the basis for S consists of three vectors, so the dimension of S is 3.

Therefore, the basis of the subspace S is {(1 1 0 0), (0 1 1 0), (1 0 1 1)}, and the dimension of S is 3.

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The flow rate of water in each steel pipe at 25°C is as follows:

Pipe 1: 1.2 ft³/s

Pipe 2: 0.3 ft³/s

Pipe 3: 0.3 ft³/s

Pipe 4: 0.6 ft³/s

To calculate the flow rate of water in each steel pipe, we need to consider the properties of the pipes and the lengths of the sections through which the water flows. The schedule 40 pipes mentioned in the question are commonly used for various applications, including plumbing.

Given the lengths of each pipe section, we can calculate the total equivalent length (sum of all lengths) to determine the pressure drop across each pipe. Since the question mentions ignoring minor losses, we assume that the flow is fully developed and there are no significant changes in diameter or fittings that would cause additional pressure drop.

Using the flow rate formula Q = ΔP * A / √(ρ * (2 * g)), where Q is the flow rate, ΔP is the pressure drop, A is the cross-sectional area of the pipe, ρ is the density of water, and g is the acceleration due to gravity, we can calculate the flow rates.

Considering the given data, we can directly assign the flow rates to each pipe:

Pipe 1: 1.2 ft³/s

Pipe 2: 0.3 ft³/s

Pipe 3: 0.3 ft³/s

Pipe 4: 0.6 ft³/s

The flow rate of water in each steel pipe at 25°C is determined based on the given information. Pipe 1 has a flow rate of 1.2 ft³/s, Pipe 2 and Pipe 3 have flow rates of 0.3 ft³/s each, and Pipe 4 has a flow rate of 0.6 ft³/s. These values represent the volumetric flow rate of water through each pipe under the specified conditions.

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Both M and S in sexagesimal notation = 3600D.

Here converting 'D' into minutes.

We know that a degree is made up of 60 minutes.

so multiply D with 60 we get

⇒ D x 60 = M

Now convert 'M' into seconds.

Again, there are 60 seconds in a minute,

so multiply M with 60 we get,

⇒ M x 60 = S

Simplify this equation by substituting D x 60 for M,

⇒D x 60 x 60 = S

Simplifying further, we get,

⇒ 3600D = S

Hence, 3600D is equal to both M and S in sexagesimal notation.

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Answer:

D

Step-by-step explanation:

The sides of a rhombus are congruent , then

13b - 9 = 3b + 4 ( subtract 3b from both sides )

10b - 9 = 4 ( add 9 to both sides )

10b = 13 ( divide both sides by 10 )

b = 1.3

The diagonals are perpendicular bisectors of each other , then

14a + 20 = 90 ( subtract 20 from both sides )

14a = 70 ( divide both sides by 14 )

a = 5

Thus c = a + b = 5 + 1.3 = 6.3 → D

Answer: A.) It is a linear function because there is a constant rate of change in both the input and output values.

============================================================

Explanation:

Note how x is decreasing by 3 each time

At the same time, y is also decreasing by 3 each time

This means we have a linear function. We have,

slope = (change in y)/(change in x)

slope = (-3)/(-3)

slope = 1

Recall that slope is another term for rate of change, so a constant slope means we have a constant rate of change.

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

Another way to find the slope is to pick any two points from the table and use the slope formula

m = (y2 - y1)/(x2 - x1)

You should find that any two points you pick will lead to a slope of 1. I recommend you try out all possible pairs to help convince yourself the slope is 1.

Answer:

plot it on -4

Step-by-step explanation:

Answer: -3

Step-by-step explanation:

Removing the electric car from the data set will reduce the standard deviation as the extreme value of 112 mpg is taken out, resulting in a decrease in the spread of the data. The interquartile range (IQR) will also be affected as the extreme outlier is taken out, will decrease the spread of the data in the boxplot.

The electric car with a rating equivalent to 112 miles per gallon is an extreme outlier, which means it is very far from the rest of the data. Therefore, removing this outlier from the data set will decrease the variability and, consequently, decrease the standard deviation. The extreme outlier with the rating equivalent to 112 miles per gallon is outside of the whiskers of the boxplot, which means it is beyond the range of the middle 50% of the data. Therefore, removing this outlier from the data set will decrease the spread of the data in the boxplot and, consequently, decrease the IQR.

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Answer:

$3.10

Step-by-step explanation:

5.50 - 1.25 - 1.15 = 3.1

You would have 3 dollars and ten cents left over.

Answer:

2.6

Step-by-step explanation:

The preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of the new long-distance aircraft is approximately $700 million.

To estimate the cost of building a 600-MW fossil-fuel plant, we can use the cost capacity exponent factor and the cost index.

First, let's calculate the cost capacity ratio (CCR) for the 600-MW plant compared to the 200-MW plant:

CCR = (600/200)^0.79

Next, we need to adjust the cost of the 200-MW plant for inflation using the cost index. The cost index ratio (CIR) is given by:

CIR = (current cost index / base cost index)

Using the given information, the base cost index is 400 and the current cost index is 1200. Therefore:

CIR = 1200 / 400 = 3

Now, we can estimate the cost of the 600-MW plant:

Cost of 600-MW plant = Cost of 200-MW plant * CCR * CIR

Using the information provided, the cost of the 200-MW plant is $100 million. Plugging in the values, we have:

Cost of 600-MW plant = $100 million * CCR * CIR

Calculating CCR:

CCR = (600/200)^0.79 ≈ 2.3367

Calculating the cost of the 600-MW plant:

Cost of 600-MW plant = $100 million * 2.3367 * 3

Cost of 600-MW plant ≈ $700 million

Your question is incomplete but most probably your full question was

Suppose that an aircraft manufacturer desires to make a preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of its new long- distance aircraft. It is known that a 200-MW plant cost $100 million 20 years ago when the approximate cost index was 400, and that cost index is now 1,200. The cost capacity exponent factor for a fossil-fuel power plant is 0.79. What is he preliminary estimate of the cost of building a 600-MW fossil-fuel plant for the assembly of the new long-distance aircraft?

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Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).

(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).

(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.

Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).

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Answer:a (4,4) b(4, 16) c(12,4)

Step-by-step explanation:

multiply all inside the parenthesis by 4

Answer:

3x+26

Step-by-step explanation:

Let's simplify step-by-step.

3x+4(3+3)+2

=3x+24+2

Combine Like Terms:

=3x+24+2

=(3x)+(24+2)

=3x+26

Answer:

=3x+26

Let that be x

ATQ

\(\\ \rm\Rrightarrow 3x-6/5=9\)

Arrange accordingly to work backwards(Every thing is reversed)

\(\\ \rm\Rrightarrow 9(5)+6/3=x\)

\(\\ \rm\Rrightarrow 45+6/3=x\)

\(\\ \rm\Rrightarrow 51/3=x\)

\(\\ \rm\Rrightarrow x=17\)

.

B) fish peaked in 1989, but with the total catch since then declining or plateauing in the case of most species, prompting conservation efforts designed to help prevent population crashes and possible extinctions.

(B) fish peaked in 1989, but with the total catch since then declining or plateauing in the case of most species, prompting

Plateauing refers to the phenomenon where an individual's progress or improvement in a particular area, such as learning a new skill or achieving a fitness goal, slows down or even stops altogether. This can be frustrating for the individual, who may feel like they have hit a "plateau" and are not making any further progress despite continued effort. Plateauing can occur for a variety of reasons, such as overtraining, lack of variation in training or practice, inadequate rest and recovery, or reaching a natural limit in performance.

Overcoming plateaus often requires making changes to training or practice routines, such as introducing new exercises or techniques, increasing intensity or frequency of training, or taking adequate rest and recovery time.

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Answer:

4 (2a+3b)^2

Step-by-step explanation:

(4a+6b)^2 = (4a+6b) * (4a+6b) = 16a^2 +48ab + 36b^2

take 4 common factor

4 (4a^2 + 12ab + 9b^2) =  4 (2a+3b)^2

The expected value of getting a face card in a player's initial two-card hand in a game of Texas Hold'em is :

44.65%.

To calculate the expected value of getting a face card in a player's initial two-card hand in a game of Texas Hold'em, we need to consider the probability of getting a face card and the number of face cards in the deck.

Determine the number of face cards in a standard deck of 52 cards.
There are 4 suits (hearts, diamonds, clubs, spades) and 3 face cards in each suit (jack, queen, king). So, there are 4 x 3 = 12 face cards in total.

Calculate the probability of getting a face card in the first card.
The probability is the number of face cards divided by the total number of cards: 12 face cards / 52 total cards = 12/52 = 3/13 ≈ 0.23077.

Calculate the probability of getting a face card in the second card.
Since one card is already drawn, there are 51 cards left in the deck and 11 face cards left (assuming the first card was a face card). The probability is 11 face cards / 51 total cards ≈ 0.21569.

Calculate the expected value of getting a face card in a player's initial two-card hand.
Expected value (EV) = Probability of getting a face card in the first card + Probability of getting a face card in the second card
EV ≈ 0.23077 + 0.21569 ≈ 0.44646

So, the expected value of getting a face card in a player's initial two-card hand in a game of Texas Hold'em is approximately 0.44646 or 44.65%.

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The solution to the equation 2(t - 5) = 48 is t = 29.

To solve the equation 2(t - 5) = 48, we can use the following steps:

Distribute the 2 to the terms inside the parentheses:

2t - 10 = 48

Add 10 to both sides of the equation to isolate the variable term:

2t = 58

Divide both sides of the equation by 2 to solve for t:

t = 29

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The results of the test will suggest whether the null hypothesis H0: β3 = 0, β4 = 0 is supported or rejected at the 1% significance level.

To test the null hypothesis H0: β3 = 0, β4 = 0 against the alternative H1: H0 is not true at a 1% significance level, you can perform the test by running restricted and unrestricted models.

In the restricted model, you would impose the null hypothesis by setting the coefficients β3 and β4 to 0. Then, estimate the model and obtain the restricted sum of squares (RSS).

In the unrestricted model, you would not impose any restrictions and estimate the model. Obtain the unrestricted sum of squares (USS).

Next, you can calculate the F-statistic using the formula:

F = ((RSS_restricted - RSS_unrestricted) / q) / (RSS_unrestricted / (n - p))

where q is the number of restrictions (in this case, 2), n is the sample size, and p is the number of parameters in the unrestricted model.

Finally, compare the calculated F-statistic to the critical F-value at the 1% significance level (with q and n-p degrees of freedom). If the calculated F-statistic is greater than the critical F-value, you reject the null hypothesis.

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A map is scale at one inch to fifteen miles. On a map, if two cities are 3.4 inches apart, They are actually apart 15.

A scale is a collection of values, such as levels or numbers, that are applied to a particular system of measurement or comparison. Scale is the ratio that establishes the relationship between the model and the actual figure. The real figures in smaller units are shown by it on maps. As an illustration, a scale of 1:5 means that 1 on the map is equivalent to the size of 5 in the real world. A framework or application can manage heavier loads if it scales properly.

Based on the given conditions, formulate:: 3.4*15/1

3.4 in  x 15mi/1in = 51 mi

Calculate the product or quotient: 51

They are actually apart 15

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Answer:

They will each get 7 trout.

Step-by-step explanation:

Since there are two people (Nancy and Jason), take the 14 trout, and divide it amongst the two, so, they each get 7 fish.

you look too cute in the dp i like your face its very cute

Answer:

Slope of the perpendicular line = 4/7

So , general equation of line is

y = (4/7) x +c

As this line passes through (5,-2) ,it also satisfy the equation

\( - 2 = ( \frac{ 4}{7} ) \times 5 + c\)

\(c = -2 - \frac{20}{7} \)

\(c = \frac{-34}{7} \)

Now the required equation :-

\(y = ( \frac{ 4}{7} )x + \frac{-34}{7} \)

\(4x - 7y = 34\)

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Answer:

23 gallons

or 22.2 (repeated)

Step-by-step explanation:

divide 100 by the number of miles per gallon

11/4.5=22.2

if you have to answer in a whole number round up because it says minimum

Step-by-step explanation:

so many typos. I can only guess what you need. and you skipped the information about rounding. so, I cannot do that for you.

the car can travel 4.5 miles per gallon of gas.

to go 100 miles with one tank filling, the tank must have a capacity of at least

100/4.5 = 22.22222222... gallons

please round to whatever you need.

As per the unitary method, Roxanne's dad make did make 36 blueberry pancakes.

Here we know that Roxanne's dad made 108 mini pancakes in total, with 3 times as many blueberry pancakes as chocolate chip pancakes.

And we need to  solve this problem, we can use the unitary method, which is a simple way to solve problems involving ratios.

As we all know that the unitary method involves dividing the total number of items (108 pancakes) by the ratio (3 blueberry to 1 chocolate chip).

=> 3:1 = 108

When we simplify this gives us the result that 36 blueberry pancakes were made. Therefore, Roxanne's dad made 36 blueberry pancakes

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Answer:

Step-by-step explanation:

9h + 24 = 60

Answer:

I am SO sorry I don't have any time to do this for you but here is how

Step-by-step explanation:

Try all of them and see which one is correct

That's literally how you do it.

I just don't have time to do that for you at the moment

Hope this helps :)