Jake bought some blueberries for $6 per pound and some strawberries for $4 per pound. He spent a total of $36. Which graph represents all the possible combinations of blueberries (b) and strawberries (s) that Jake could have bought?

tan(t)/sec(t) can be simplified to sin(t)/cos(t) * cos(t) which leaves us with just sin(t).


To simplify tan(t)/sec(t), we first need to know that sec(t) is the reciprocal of cos(t), so we can replace sec(t) with 1/cos(t). Next, we can use the identity tan(t) = sin(t)/cos(t) to rewrite the expression as sin(t)/ (1/cos(t)). To simplify the expression further, we can multiply the numerator and denominator by cos(t), which gives us sin(t) * cos(t) / 1. Finally, we can simplify this expression to just sin(t) by canceling out the common factor of cos(t) in the numerator and denominator.

1. Rewrite the given expression in terms of sine and cosine:
  tan(t) / sec(t) = (sin(t) / cos(t)) / (1 / cos(t))
2. Simplify the expression by multiplying the numerator and denominator by cos(t):
  (sin(t) / cos(t)) * (cos(t) / 1) = sin(t)

The simplified expression of tan(t) / sec(t) is sin(t).

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A prime number doesn't have sequence so, it cannot be model with sequence.

Prime numbers are number that can only be divided by itself and 1.

E.g 2,3,5,7,11,13,17,19,23,29 etc.

So, note that this sequence doesn't have a pattern, it is neither Geometry Progression nor Arithmetic Progression.

Now, let take look at the model given

If n is prime, then 2n-1 is prime

Let take 5 for

n=5 is a prime number

2n-1=2(5)-1=10-1=9

9 is not a prime number so the model doesn't work

A prime number doesn't have sequence so, it cannot be model with sequence.

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a) The cost of the stereo system is $4,760.

b) The total amount of interest paid is $1,760.

To find the cost of the stereo system, we need to calculate the sum of the down payment and the total of monthly payments over 4 years. The down payment is $400, and the monthly payment is $90 for 48 months (4 years). Thus, the total cost of the stereo system is $400 + ($90 × 48) = $4,760.

To calculate the total amount of interest paid, we need to subtract the initial principal amount (down payment) from the total cost of the stereo system. The initial principal amount is $400, and the total cost is $4,760. Therefore, the total interest paid is $4,760 - $400 = $1,760.

In summary, the cost of the stereo system is $4,760, and the total amount of interest paid is $1,760.

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a. 80% of 90 is the same as of 90 - False

b. 45% of 60 is 27 - True

c. 20% of 90 is the same as as of 90- True

d. 25 is 35% of 80 -False

a. 80% of 90 is not the same as 90. To find 80% of 90, we multiply 90 by 0.8, which gives us 72. Therefore, the statement is false.

b. To find 45% of 60, we multiply 60 by 0.45, which gives us 27. Therefore, the statement is true.

c. 20% of 90 is the same as of 90. To find 20% of 90, we multiply 90 by 0.2, which gives us 18. Therefore, the statement is true.

Lastly, for question d. 25 is not 35% of 80. To find 35% of 80, we multiply 80 by 0.35, which gives us 28. Therefore, the statement is false.

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For a set population, a parameter does not change. A parameter is a numerical value that describes some aspect of a population, such as the mean, median, or standard deviation.

It is a fixed value that represents the entire population and does not change as new data is collected.

If there are three different samples of the same size from a set population, it is possible to get three different values for the same statistic.

Because a sample is a subset of a population, the values of statistics calculated from samples will vary depending on the specific individuals or observations that are included in the sample. Even if the samples are of the same size, they will likely have different values for the statistics because of the randomness of sampling.

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The required expression will therefore be:

(3×18) + (5×6) + 4

Her total score is 88points :

From the question given, we are told that Samantha scored 3 points for each of 18multiple questions his means that the total points made here is expressed as:

(3 × 18) ...1

If she got 5 points for each of the 6 short responsmultiple choice questione questions she answered

correctly, the total point made will be expressed as;

(5×6) ... 2

Total score for an additional 4 points for the bonus question will be "4"

Expression for her total score will be the sum of all the expression above as thus:

(3×18) + (5×6) + 4

Taking the sum, her score will be:

= (3×18) + (5×6) + 4

= 54 + 30 + 4

= 84 + 4

= 88 points

The required expression will therefore be:

(3×18) + (5×6) + 4

Her total score is 88points

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Answer:

y = -2x + 3

Step-by-step explanation:

Parallel lines are lines with the same slope (m), but a different y - intercept (b).

The basic equation of a line is y = mx + b, where m represents slope, and b represents the y - intercept

First solve for the parallel slope of -2

Parallel slope to -2 = -2

Next, input the x and y values given to you by the point to the equation

y = -2x + b

We will input the -1 and 5 for x and y in the equation y = -2x + b

5 = -2(-1) + b

5 = 2 + b

b = 3

The line is y = -2x + 3

-Chetan K

Answer:

300 nickels

Step-by-step explanation:

Reading the question, someone has 435 nickels and dimes.

The total is $28.50.

You're trying to find how many nickels he has.

All you need to do is set up a system of equations.

I'm going to use x as the number of nickels and y as the number of dimes.

Based on the question, you can say that

x + y = 435

(the number of nickels and dimes have t equal 435)

and 0.05x + 0.1y = $28.50

(nickels are 5 cents and dimes are 10 cents)

You want to solve for x, the number of nickels.

You can manipulate the first equation by subtracting x on both sides.

After you do that, you will get y = 435 - x. Now, you can substitute this equation into the second one.

First, you can distribute the 0.1.

0.05x  + 0.1(435 - x) = 28.50

Then, you can put the two x's together.

0.05x + 43.5 -0.1x = 28.50

Next, you can subtract 43.5 on both sides to isolate x.

-0.05x + 43.5 = 28.50

Finally, you can divide on both sides to get x, which is the number of nickels.

-0.05x = - 15

x = 300 nickels

Sure, I can help you with that. To start with, let's rewrite the given equation x" – 12x + 3x³ = 0 as a system of first-order equations in x and y=x'. To do this, we can let y = x' and rewrite the equation as:

x' = y
y' = 12x - 3x³

This is a system of two first-order differential equations, where x and y are the variables. Now, to find the critical points of this system, we need to solve for x and y when y' = 0. Substituting y = x' in the second equation, we get:

12x - 3x³ = 0
=> 3x(4-x²) = 0

Therefore, the critical points are (0,0), (2,0), and (-2,0), in order of increasing x coordinate. We can write them as:

(x,y) = (0,0), (2,0), (-2,0)

These critical points represent the equilibrium solutions of the system, where the motion of the spring is stationary. In the next three problems, we may need to analyze the stability of these solutions and their behavior under small perturbations.

Now, we have a system of first-order equations:
x' = y
y' = 12x - 3x^3

To find the critical points, we need to solve for x and y when x' = 0 and y' = 0:

1. 0 = y
2. 0 = 12x - 3x^3

From the first equation, y = 0. To solve the second equation for x:

0 = 12x - 3x^3
0 = 3x(4 - x^2)

This gives us three possible x coordinates: x = 0, x = 2, and x = -2.

So, the critical points are:
(x, y) = (-2, 0), (0, 0), (2, 0)

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The rate of change in altitude of the plane during the time is 625 ft/min.

Given the Parameters:

Altitude at 2.40 pm = 30000 feets

Altitude at 2.48 pm = 25000 feets

Rate of change = change in altitude/change in time

change in time = 2.48 - 2.40 = 8 minutes

change in altitude = 30000 - 25000 = 5000 feets

Rate of change = 5000/8 = 625 feets per minute

Therefore, the rate of change in altitude of the plane is 625 ft/min.

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Answer:

alternate interior angles

Step-by-step explanation:

We are looking at angles <3 and <6

which are on opposite sides of a transversal (line crossing through 2 parallel lines)

meaning that those 2 angles are congruent and are alternate interior angles are they are on the inside of this figure.

*Can we see the answer choices?  I'm not sure what they are, meaning I cannot fully help you*

Hope this helps a little! :)

Answer: The answer is: the base is raised to the second power

Step-by-step explanation:

Answer:

i would say 42

Step-by-step explanation:

5^3 + 6[2 - 4(7-8)^2] = 125 + 6(-2)

= 125 - 12

= 113

Answer:

1) Four coplanar points are points, J, K, L, and M which are points on the plane Z

2) A point non-coplanar with the planar with the plane Z is the point R

3) The intersection of the plane JPS and the plane Z is the line JM

Step-by-step explanation:

Two or more points are said to be coplanar if they are located on the same plane

A point that is non-coplanar to a plane is a point not located on the plane

The intersection of two planes is a line, given that a plane is defined as a two-dimensional figure or flat surface, such as the surface of a smooth door intersecting with a smooth wall happens only along a line.

Answer:

Step-by-step explanation:

Answer:

√122 in.

Step-by-step explanation:

d^2 = 9^2 + 5^2 + 4^2

d^2 = 81 + 25 + 16

d^2 = 122

d = √122

Answer: D

Step-by-step explanation: did it

Answer:

black

black

Step-by-step explanation:

One fluid ounce is equivalent to 29.5735 milliliters. both are unit of measurement of volume.

converting between metric units (such as grams or meters) and imperial units (such as ounces or feet) is a common type of unit conversion. The process of unit conversion involves using a conversion factor, which is a ratio that relates the units being converted.

To convert fluid ounces to milliliters, multiply the number of fluid ounces by 29.5735. To convert from fluid ounces to liters, divide the number of fluid ounces by 32, since there are 32 fluid ounces in a quart.

Then, multiply the number of quarts by 1.057, since there are 1.057 quarts in a liter. Finally, convert the number of liters to milliliters by multiplying the number of liters by 1000. The resulting value is the number of milliliters in one fluid ounce.

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To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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Answer:

Solution,

Radius(r)=6 cm

Height(h)=20 cm

Volume of cylinder= pi (r)^2 h

=3.14*(6)^2*20

=3.14*36*20

=2260.8 cm^3

Hope it helps

Good luck on your assignment

Answer:

1.3333

Step-by-step explanation:

pls mark brainliest

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

If the cost of advertising was $100,000 and the reach or circulation was 10,000,000 people, then the CPM is $10.

Cost per thousand (CPM), which is also called cost per mille, is a marketing word used to denote the price of 1,000 advertisement prints on one web page. If a publisher of a website charges $2.00 CPM, that means an advertiser must pay $2.00 for every 1,000 prints of its ad.

The CPM is calculated by dividing the cost of the advertisement by the number of people reached and then multiplying by 1000.

Given that the cost of advertising was $100,000 and the reach was 10,000,000 people, the CPM can be calculated as follows:

CPM = ($100,000 / 10,000,000) × 1000 = $10.

So, the CPM is $10.

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Answer:

A

Step-by-step explanation:

step 3 is correct

x = 1

in step 4 the student has substituted x = 1 into y instead of x, that is

3x + 2(1) = 7 ← Incorrect substitution

Should be

3(1) + 2y = 7

3 + 2y = 7 ( subtract 3 from both sides )

2y = 4 ( divide both sides by 2 )

y = 2

Answer:

A. Step 4

Step-by-step explanation:

Identifying the error

In step 4 the value of x is supposed to be substituted into the second equation however the value of x is instead substituted for y which is the first error made

Solving it correctly and explaining each step.

We have the two equations 3x + 2y = 7 and 5x - 4y = -3

It appears that the elimination method is being used as the first step consist of multiplying the first equation by 2 so that we have the two variables -4y and 4y which can cancel out in the next step so we are going to use the elimination method as well to solve it correctly.

What is the elimination method?

The elimination method is a method used to solve a system of equations. When you have two variables that have the same coefficient ( number before variable; x or y ) but different signs ( it works if they have the same too ) you can add the two equations eliminating one of the variables. Using this method will leave you with a singular variable in which you can solve

Solving it using the elimination method

Again we have the two equations 3x + 2y = 7 and 5x - 4y = -3

(step 1) Notice how the first equation has 2y which can be multiplied by 2 resulting in us getting 4y which is opposite of -4y. This sets us up exactly for using the elimination method.

Thus the first step would be too multiply the first equation by 2

3x + 2y = 7

x2

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

6x + 4y = 14

Now we have the two equations 6x + 4y = 14 and 5x - 4y = -3

(step 2)Our next step would be to add the two equations so that the variable y is eliminated

6x + 4y = 14

+ 5x - 4y = -3

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

11x 0 = 11

We're left with 11x = 11

(step 3)Our next step would be to solve for x

11x = 11

==> divide both sides by 11

x = 1

(step 4) Now that we have defined one of are variables we plug it in into one of the equations and solve for the other, this is step 4.

5x - 4y = -3

==> plug in x = 1

5(1) - 4y = -3

(step 5)==> simplify

5 - 4y = -3

(step 6) ==> subtract 5 from both sides

-4y = -8

(step 7) ==> divide both sides by -4

y = 2

The real solution would be (1,2)

Answer:

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 4 on the left side and the dividend 34 on the right side like this:

   4 ⟌ 3 4  

Step 2:

The divisor (4) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:

       0    

   4 ⟌ 3 4  

Step 3:

Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.

       0    

   4 ⟌ 3 4  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.

       0    

   4 ⟌ 3 4  

     - 0    

       3    

Step 5:

Move down the 2nd digit of the dividend (4) like this:

       0    

   4 ⟌ 3 4  

     - 0    

       3 4  

Step 6:

The divisor (4) goes into the bottom number (34), 8 time(s). Therefore, put 8 on top:

       0 8  

   4 ⟌ 3 4  

     - 0    

       3 4  

Step 7:

Multiply the divisor by the result in the previous step (4 x 8 = 32) and write that answer at the bottom:

       0 8  

   4 ⟌ 3 4  

     - 0    

       3 4  

      3 2  

Step 8:

Subtract the result in the previous step from the number written above it. (34 - 32 = 2) and write the answer at the bottom.

       0 8  

   4 ⟌ 3 4  

     - 0    

       3 4  

     - 3 2  

         2  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 34 divided by 4 calculated using Long Division is:

8

2 Remainder

Answer:

4 remainders

Step-by-step explanation:

Here we will show you step-by-step with detailed explanation how to calculate 4 divided by 34 using long division.

Before you continue, note that in the problem 4 divided by 34, the numbers are defined as follows:

4 = dividend

34 = divisor

Step 1:

Start by setting it up with the divisor 34 on the left side and the dividend 4 on the right side like this:

 3 4 ⟌ 4    

Step 2:

The divisor (34) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

 3 4 ⟌ 4    

Step 3:

Multiply the divisor by the result in the previous step (34 x 0 = 0) and write that answer below the dividend.

       0    

 3 4 ⟌ 4    

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

 3 4 ⟌ 4    

     - 0    

       4    

You are done.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 4 divided by 34 calculated using Long Division is:

0

4 Remainder

(hope this helps can i plz have brainlist :D hehe)

Answer:

1/36

Step-by-step explanation:

P(6,6) = 1/6 x 1/6 = 1/36

The possible coordinates of point G on this number line are either -10 or 14.

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.

Given the following data:

E = 2.

EG = 12.

On this number line, the coordinate of EG is given by this mathematical expression:

EG = |E - G|

Substituting the given parameters into the expression, we have;

12 = |2 - G|

2 - G = ±12

G = 2 ± 12

Simplifying and evaluating the above expression, we have:

G = 2 + 12

G = 14.

OR

G = 2 - 12

G = -10

Therefore, the possible coordinates of point G on this number line are either -10 or 14.

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Complete Question:

On a number line, suppose point E has a coordinate of 2, and EG= 12. what are the possible coordinates of point G?

Answer:

k = -1

Step-by-step explanation:

-3k + 6 = 10 + k

combine similar terms:

-3k - k = 10 - 6

simplify:

-4k = 4

simplify:

k = 4 / -4

k = -1

Answer:

-1=K

Step-by-step explanation:

You take the -3k and add 3k to both sides to get 6=10+4k, Then you take 10 away on both sides to get -4=4k, finally you divide 4 on both sides to get the variable (k) by itself so your answer is -1