Does 10^25 equal 4^42

The cost of the croissant before the increase was $0.60 and the cost of the cup of coffee was $1.65.

Let's assume the original price of a croissant is C dollars, the original price of a cup of coffee is F dollars, and the original price of a fruit bowl is B dollars.

From the given information, we can set up the following equations:

C + F + B = 5.25 (equation 1) - Total cost of the three items before the increase is $5.25.

1.25C + 1.4F + B = 4.80 (equation 2) - Total cost of the three items after the increase is $4.80.

B = 3C (equation 3) - The cost of a fruit bowl is 3 times the cost of a croissant.

Now, let's solve the equations:

Substituting equation 3 into equation 1, we get:

C + F + 3C = 5.25

4C + F = 5.25 (equation 4)

Substituting equation 3 into equation 2, we get:

1.25C + 1.4F + 3C = 4.80

4.25C + 1.4F = 4.80 (equation 5)

We now have a system of two equations (equations 4 and 5) with two variables (C and F). Solving this system of equations will give us the values of C and F, which represent the original costs of the croissant and the cup of coffee, respectively.

By solving equations 4 and 5 simultaneously, we can find that C ≈ 0.60 and F ≈ 1.65.

Therefore, the cost of the croissant before the increase was approximately $0.60 and the cost of the cup of coffee was approximately $1.65.

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ANSWER

324

EXPLANATION

We want to find the sum of the arithmetic progression:

To do that we apply the formula for the sum of an arithmetic sequence:

where a = first term

l = last term

n = number of terms

We have to find n by using the last term:

d = common difference

The common difference is 4. Therefore, we have to find n:

There are 12 terms.

Therefore:

That is the sum of all the terms.

Answer:

J(0,2)

Step-by-step explanation:

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.

The new coordinate of the point j' will be (-8, 12).

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

It is the image of the point which is located in the opposite direction of a given point.

Point j (-8, -12) is reflected over the x-axis. Then the coordinate of the reflected point j' will be  

If the coordinate of a point is (x, y) and it is reflected across the x-axis. Then the coordinate of the reflected point will be (x, -y).

Then the new coordinate of the point j' will be (-8, 12).

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Given the data with soes size as x and height as y, the line of best fit is y = 1.673X + 51.577

The line of best fit, also known as the trend line or regression line, is a statistical tool used in data analysis. It is a straight line that best represents the data on a scatter plot. This line may pass through some of the points, none of the points, or all of the points.

Sum of X = 120

Sum of Y = 1026

Mean X = 7.5

Mean Y = 64.125

Sum of squares (SSX) = 26

Sum of products (SP) = 43.5

Regression Equation = y = bX + a

b = SP/SSX = 43.5/26 = 1.67308

a = MY - bMX = 64.13 - (1.67*7.5) = 51.57692

y = 1.67308X + 51.57692

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The probability that six families participated in a Halloween party is 0.16859

As per the given statement, "T3Yh of all families in Canada participated in a Halloween party."This implies that the probability of families participating in a Halloween party is 30%.

Now, if we select 14 families randomly, the probability of selecting 6 families from the selected 14 families is determined by the probability mass function as follows:

`P(x) = (14Cx) * 0.3^x * (1 - 0.3)^(14 - x)`

where P(x) represents the probability of selecting x families that participated in a Halloween party.

Here, x = 6

Thus, `P(6) = (14C6) * 0.3^6 * (1 - 0.3)^(14 - 6)``

P(6) = 0.16859`

Hence, the probability that six families participated in a Halloween party is 0.16859.

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The probability of selecting one marble of each color when three marbles are selected with replacement is approximately 0.0356 or 3.56%. This is calculated by multiplying the probabilities of selecting a red, white, and blue marble, which are 4/15, 5/15, and 6/15, respectively.

To determine the probability of selecting one marble of each color when three marbles are selected with replacement, we can calculate the probability for each color and then multiply them together.

The probability of selecting a red marble is 4/15 (since there are 4 red marbles out of a total of 15 marbles).

The probability of selecting a white marble is 5/15 (since there are 5 white marbles out of a total of 15 marbles).

The probability of selecting a blue marble is 6/15 (since there are 6 blue marbles out of a total of 15 marbles).

Since the marbles are selected with replacement, the probability of each color remains the same for each selection.

To get one marble of each color, we need to multiply the probabilities together:

Probability = (4/15) * (5/15) * (6/15) = 120/3375 ≈ 0.0356

Therefore, the probability of selecting one marble of each color when three marbles are selected with replacement is approximately 0.0356 or 3.56%.

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The values of k for which the augmented matrix follows the consistent  linear system are all the real numbers except 2 i.e. R- {2}

The linear equations become consistent when it has unique or infinitely many solutions. We have to find k according to the linear system which is consistent.

Consider the given matrix,

\(\left[\begin{array}{ccc}1&k&-4\\4&8&2\end{array}\right]\)

After dividing R2 by 2,

\(\left[\begin{array}{ccc}1&k&-4\\2&4&1\end{array}\right]\)

Now the linear equations will be,

x+ky = -4

2x+4y = 1

For infinitely many solutions it should be coincident lines so a1/a2=b1/b2=c1/c2 which is not going to happen for any value of k.

Therefore it should follow the condition of a unique solution i.e.

a1/a2\(\neq\)b1/b2

1/2\(\neq\)k/4

k\(\neq\)2

Therefore the value of k other than 2  i.e R-{2} will satisfy the linear equations.

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Answer:

^ They are correct :) ^

Step-by-step explanation:

I got it correct too.

Answer:

75%

Step-by-step explanation:

85% of all parents of young children use baby bathtubs for their infants.

Based on the random sample of parents, we can estimate that approximately 85% of all parents of young children use baby bathtubs for their infants.

However, it is important to note that this estimate is based on a random sample and may not represent the true percentage of all parents of young children who use baby bathtubs.

It is also important for parents to be aware of the risks of drowning in bathtubs and take appropriate safety measures to prevent it from happening.

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Answer:

C

Step-by-step explanation:

brianliest :3

Answer:

5922=Px6.3%x20

5922=Px1.26

P=5922/1.26

P=4700

Step-by-step explanation:

Step-by-step explanation:

area of triangle=1/2 base×height

The solution of the given system of equation is (-19, 55).

In the given question we have to find the solution to the system of equations:

y = -3x-2 and 5x + 2y = 15

We can solve the system of equation using the substitution method.

In substitution method we have to put the the value of one variable from one equation to the other equation.

We have to equations:

y = -3x-2...................................(1)

5x + 2y = 15.............................(2)

Now putting the value of y from the equation 1 in equation 2

5x + 2(-3x-2) = 15

Now solving the equation using the distribution method.

5x - 6x - 4 = 15

Simplifying

-x - 4 = 15

Add 4 on both side we get

-x = 19

Now the value of x is -19.

Now putting the value of x in equation 1

y = (-3)*(-19)-2

y = 57-2

y = 55

Hence, the solution of the given system of equation is (-19, 55).

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The right question is:

What is the solution to the system of equations y = -3x-2, 5x+2y=15?

Answer:

(2,0)

Step-by-step explanation:

I think that the answer

Answer:

17 is: 48

18 is: A.) Coefficient

19 is: D

20 is: Im not completely sure but I would go with B. as it has multiple interpretations which could make it unwritable as an equation

Answer:

-311

Step-by-step explanation:

−425 = x − 114

=> x = -425 + 114

=> x = -311

Therefore, -311 is our answer.

Hoped this helped.

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

5.25 + 17.75x ≤ 165

17.75x ≤ 159.75

x = 9 people (Assuming they all fit in one vehicle)

Wish You the Best in your Studies.

The number of people who can enter in the amusement park is 7.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Several buddies want to visit the theme park. They may only spend a total of $280 for parking and entrance. Tickets cost $33.75 per person, including tax, and parking is $19.50.

Let p be the number of people who can enter in the amusement park. Then the inequality is given as,

33.75p + 19.50 ≤ 280

Simplify the inequality, then the value of p is given as,

33.75p + 19.50 ≤ 280

33.75p ≤ 260.50

p ≤ 7.72

Thus, the number of people who can enter in the amusement park is 7.

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Answer: Raquel

Step-by-step explanation: If you’re reflecting then obviously it’s going to be in a new spot because it flips to somewhere new

Answer: NO

Step-by-step explanation:

The line that separates the two part is a dashed line which means that the point on the lines are not in the solution

EXTRA: ONLY IF IT IS A SOLID LINE, THE POINTS WILL BE A SOLUTION

(-2,0) is on the dashed line, so it is not a solution

Surface area of a cuboid

= [2(length)(width)] + [2(width)(height)] + [2(height)(length)]

= {[2(4)(2.5)] + [2(2.5)(2)] + [2(2)(4)]} units²

= (20 + 10 + 16) units²

= 46 units²

Answer:

Step-by-step explanation:

Question 1

Use ratios to solve:

Question 2

Mutya earned Php. 330  

Answer:

124.15 Miles

Step-by-step explanation:

53.30 + 18.23 + 52.62

The probabilities of type I and type II errors for this test are 0.05 and 0.20, respectively, when the effect size of the population is held constant.

The probabilities of type I and type II errors for a statistical test depend on the significance level, the power of the test, and the effect size of the population.

Given that the significance level is α = 0.05 and the power is 1-β = 0.80, we can use the following relationships:

The probability of type I error (α) is equal to the significance level: α = 0.05.

The probability of type II error (β) is equal to 1 - power: β = 1 - 0.80 = 0.20.

Therefore, the probabilities of type I and type II errors for this test are 0.05 and 0.20, respectively, when the effect size of the population is held constant.

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Answer: I think its B, C, and F

Step-by-step explanation: Im not sure but i am so sorry if im wrong

Step-by-step explanation:

the radius cuts the segment into two equal parts because it is perpendicular to the chord

Answer:

Step-by-step explanation:

As O is the mid point of the circle

Similarly, B also becomes the mid point of the line AC.

So, line OB divides AB and BC equally.

Hence, lines AB = AC, but they are asking to prove congruency of triangles.

So, u have to join OA and OC.

Same way,   line OB divides ∠OBA and ∠OBC.

So it is proved that AB = AC

Answer:

(9×3)+(4×2)

Step-by-step explanation:

Let a represent the price of books

Let b represent the price of magazines

Alicia purchase 3 books for $9

She also purchased 2 magazines for $4

(9×a) +(4×b)

= (9 ×3) + (4×2)

= 27+8

= 35

The probability that the 3-step random walk will end at node b is 0.25.

To determine the probability that a 3-step random walk will end at node B, we need to analyze the possible paths that the walk can take.

Since the walk starts at node A, it can move to either node C or node D with equal probability at the first step.

At the second step, from either node C or node D, the walk can either stay at the same node or move to the adjacent node with equal probability.

Finally, at the third step, the walk can move to node B from either node C or node D.

Therefore, the probability of the 3-step random walk ending at node B is 1/2 * 1/2 = 1/4, or 0.25.

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