Please help ASAP. Thanks so much

Answer:

He can cut 18 slices!

Step-by-step explanation:

Answer:

18

Step-by-step

ive learned this before

Answer:

Step-by-step explanation:

This equation represents the relationship between the exponential functions y = e^x and y = (10^(x-1)). These two functions are equal to each other for all values of x. This can be shown by taking the natural logarithm of both sides of the equation, which gives us:

ln(e^x) = x-1

In this equation, ln(e^x) is equal to x, since the natural logarithm of an exponential expression with a base of e is the exponent. Therefore, we can simplify the equation by taking the natural logarithm of both sides:

ln(10^(x-1)) = x-1

e^(x-1) = 10^x

The two functions e^x and 10^(x-1) are the same function with different bases, so they follow the same pattern. The fact that these two functions are equal to each other for all values of x can also be shown by graphing the two functions and seeing that they overlap perfectly.

Using the Poisson distribution, the probabilities are given as follows:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

For this problem, the mean is given by:

\(\mu = 6.4\)

The probability that exactly 6 tickets are written on a randomly selected day from this population is P(X = 6), hence:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

\(P(X = 6) = \frac{e^{-6.4}(6.4)^{6}}{(6)!} = 0.1586/tex]

For less than 6, the probability is given by:

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

Using the same formula to find each value and adding them, we have that:

P(X < 6) = 0.3837.

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Answer: 18.6 is your answer because there is nothing behind the 6

Step-by-step explanation: hope this help :)

Answer: No

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

They don't have the same size.

The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.

Probability is defined as the total number of possible outcome of an event.

The repeated colour which are numbered from 1 to 8 are as follows:

Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.

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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.

Step-by-step explanation:

Answer:

 (3x + 3) (9x + 7) is the duplicate ratio of 3:5 . the value of x is 2.

The measure of angle ADC in the geometric system is equal to 55°.

In this question we find a geometric system formed by a quadrilateral and an angle vertical to a vertex of the quadrilateral. Angle CDE is supplementary to angles EDF and ADC. Two angles are supplementary whose sum of measures equals 180°. Therefore:

m ∠ CDE + m ∠ EDF = 180°

(2 · x + 1) + (x - 7) = 180°

3 · x - 6 = 180°

3 · x = 186°

x = 62

m ∠ CDE = 2 · x + 1

m ∠ CDE = 2 · 62 + 1

m ∠ CDE = 125°

m ∠ ADC = 180° - 125°

m ∠ ADC = 55°

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Answer:

7 wholes / 1 tenth

Step-by-step explanation:

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Recall that the projection of a vector \(u\) onto \(v\) is \(\displaystyle proj_vu=\biggr(\frac{u\cdot v}{||v||^2}\biggr)v\).

Identify the vectors:

\(u=\langle-10,-7\rangle\)

\(v=\langle-8,4\rangle\)

Compute the dot product:

\(u\cdot v=(-10*-8)+(-7*4)=80+(-28)=52\)

Find the square of the magnitude of vector v:

\(||v||^2=\sqrt{(-8)^2+(4)^2}^2=64+16=80\)

Find the projection of vector u onto v:

\(\displaystyle proj_vu=\biggr(\frac{u\cdot v}{||v||^2}\biggr)v\\\\proj_vu=\biggr(\frac{52}{80}\biggr)\langle-8,4\rangle\\\\proj_vu=\biggr\langle\frac{-416}{80} ,\frac{208}{80}\biggr\rangle\\\\proj_vu=\biggr\langle\frac{-26}{5} ,\frac{13}{5}\biggr\rangle\\\\proj_vu=\langle-5.2,2.6\rangle\)

Thus, B is the correct answer

Problem 2

Treat the football and wind as vectors:

Football: \(u=\langle42\cos172^\circ,42\sin172^\circ\rangle\)

Wind: \(v=\langle13\cos345^\circ,13\sin345^\circ\rangle\)

Add the vectors: \(u+v=\langle42\cos172^\circ+13\cos345^\circ,42\sin172^\circ+13\sin345^\circ\rangle\approx\langle-29.034,2.481\rangle\)

Find the magnitude of the resultant vector:

\(||u+v||=\sqrt{(-29.034)^2+(2.481)^2}\approx29.14\)

Find the direction of the resultant vector:

\(\displaystyle \theta=tan^{-1}\biggr(\frac{2.841}{-29.034}\biggr)\approx -5^\circ\)

Because our resultant vector is in Quadrant II, the true direction angle is 6° clockwise from the negative axis. This means that our true direction angle is \(180^\circ-5^\circ=175^\circ\)

Thus, C is the correct answer

Problem 3

We identify the initial point to be \(R(-2,12)\) and the terminal point to be \(S(-7,6)\). The vector in component form can be found by subtracting the initial point from the terminal point:

\(v=\langle-7-(-2),6-12\rangle=\langle-7+2,-6\rangle=\langle-5,-6\rangle\)

Next, we find the magnitude of the vector:

\(||v||=\sqrt{(-5)^2+(-6)^2}=\sqrt{25+36}=\sqrt{61}\approx7.81\)

And finally, we find the direction of the vector:

\(\displaystyle \theta=tan^{-1}\biggr(\frac{6}{5}\biggr)\approx50.194^\circ\)

Keep in mind that since our vector is in Quadrant III, our direction angle also needs to be in Quadrant III, so the true direction angle is \(180^\circ+50.194^\circ=230.194^\circ\).

Thus, A is the correct answer

Problem 4

Add the vectors:

\(v_1+v_2=\langle-60,3\rangle+\langle4,14\rangle=\langle-60+4,3+14\rangle=\langle-56,17\rangle\)

Determine the magnitude of the vector:

\(||v_1+v_2||=\sqrt{(-56)^2+(17)^2}=\sqrt{3136+289}=\sqrt{3425}\approx58.524\)

Find the direction of the vector:

\(\displaystyle\theta=tan^{-1}\biggr(\frac{17}{-56} \biggr)\approx-17^\circ\)

Because our vector is in Quadrant II, then the direction angle we found is a reference angle, telling us the true direction angle is 17° clockwise from the negative x-axis, so the true direction angle is \(180^\circ-17^\circ=163^\circ\)

Thus, A is the correct answer

Problem 5

A vector in trigonometric form is represented as \(w=||w||(\cos\theta i+\sin\theta i)\) where \(||w||\) is the magnitude of vector \(w\) and \(\theta\) is the direction of vector \(w\).

Magnitude: \(||w||=\sqrt{(-16)^2+(-63)^2}=\sqrt{256+3969}=\sqrt{4225}=65\)

Direction: \(\displaystyle \theta=tan^{-1}\biggr(\frac{-63}{-16}\biggr)\approx75.75^\circ\)

As our vector is in Quadrant III, our true direction angle will be 75.75° counterclockwise from the negative x-axis, so our true direction angle will be \(180^\circ+75.75^\circ=255.75^\circ\).

This means that our vector in trigonometric form is \(w=65(\cos255.75^\circ i+\sin255.75^\circ j)\)

Thus, C is the correct answer

Problem 6

Write the vectors in trigonometric form:

\(u=\langle40\cos30^\circ,40\sin30^\circ\rangle\\v=\langle50\cos140^\circ,50\sin140^\circ\rangle\)

Add the vectors:

\(u+v=\langle40\cos30^\circ+50\cos140^\circ,40\sin30^\circ+50\sin140^\circ\rangle\approx\langle-3.661,52.139\rangle\)

Find the magnitude of the resultant vector:

\(||u+v||=\sqrt{3.661^2+52.139^2}\approx52.268\)

Find the direction of the resultant vector:

\(\displaystyle\theta=tan^{-1}\biggr(\frac{52.139}{-3.661} \biggr)\approx-86^\circ\)

Because our resultant vector is in Quadrant II, then our true direction angle will be 86° clockwise from the negative x-axis. So, our true direction angle is \(180^\circ-86^\circ=94^\circ\).

Thus, B is the correct answer

Answer:

14.4 - proofs attached to answer

Step-by-step explanation:

proofs attached to answer

Step-by-step explanation:

area of rrctangle:

12×8= 96cm²

now if rectangle dissapears and then we "glue" what's left, we gonna get two circles

area of circle which gas diameter of 12cm( so radius will be 6cm)will be

πr²=36π≈113.04

another circles radius is 4cm,so area is:

16π≈50.25

sum of all areas: S≈96+113.04+50.25≈259.28cm2

The result of the expression 20 - 6 is 14.

To solve the given expression, 20 - 6, and isolate the variable, we need to clarify whether there is an equation involved. However, in this case, the expression does not contain any variable to isolate, and it is not an equation that needs balancing. It is a straightforward arithmetic expression.

Step 1: Start with the given expression, 20 - 6.

Step 2: Evaluate the subtraction operation: 20 - 6 = 14.

Step 3: The simplified expression is now 14. However, since there is no variable present, there is no need to isolate any variable.

This means that when you subtract 6 from 20, the answer is 14. Remember that isolating a variable and balancing an equation are relevant when dealing with equations that involve variables. In this case, the expression is a simple subtraction operation, yielding a constant value of 14 as the answer.

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Answer:

I will give you three, but the answer is the number that has a 50

Step-by-step explanation:

52

654

7657

50 is the numbers that have a 5 in 10 times the value of the 13,725.

Place value is the value of each digit in a number.

For example, the 5 in 350 represents 5 tens, or 50; however the 5 in 5006 represents 5 thousands, or 5000.

Now the given number is,

13,725

10 times of the number is givens as,

13,725*10

or, 137,250

here place value of 5 in 137,250 is 5 tens or 50.

Therefore, 50 is the numbers that have a 5 in 10 times the value of the 13,725.

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The expression simplified can be written as:

16m +  8

Here we want to simplify the following expression:

(8m + 4) + (8m + 4)

To simplify, we start by removing the parenthesis:

8m + 4 + 8m + 4

Now we can change the order of the terms so we get:

8m + 8m + 4 + 4

Now we can group the like terms to get:

(8m + 8m) + (4 + 4)

And simplify this to get:

16m +  8

That is the simplified expression.

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Answer:

1/14

Step-by-step explanation:

all together the probability would be 1/21 because we're adding all the color eyes together. After that, it narrows to only blue and hazel which is 14 so the new probability is 1/14, so the answer is 1/14.

The products that are less than the value represented by the model are

0.23 x 0.4 , 1.5 x 0.6 , 1.85 x 0.3.

From the question, we have

the model has a grid of size 10 *10 = 100

Out of 100, 75 are covered.

75 grid = 75/100 =0.75

The products that are less than the 0.75 are

0.23 x 0.4 , 1.5 x 0.6 , 1.85 x 0.3.

Divide:

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

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Answer:

The last one

Step-by-step explanation:

its all fractions, fractions are rational numbers but not integers, whole, or naturals numbers

Relation 1: Function

No input in the domain is used more than once.

Relation 2: NOT a function

Input of 2 is used more than once, so it has two outputs for that one input.

Relation 3: Function

No x-value is repeated.

Relation 4: Function

No x-value is repeated.

Answer:

For the problem 35 x 7, the partial products would be: 7 x 30 and 7 x 5.

Step-by-step explanation:

Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

Answer:

Their performance got better, as they scored at least one goal in a higher percentage of matches.

Step-by-step explanation:

Last year:

The team scored at least one goal in 65% of their matches.

This year:

This year they played 40 matches and scored at least one goal in 28 of them. So

28*100%/40 = 0.7*100% = 70%

This year the team scored at least one goal in 70% of their matches, which is a higher percentage(5% higher) than last year.

Has their performance got better or worse?

Their performance got better, as they scored at least one goal in a higher percentage of matches.

Answer:

i am not understand anway l am going to tray

f(x) =-x-1

so,f(-1) = -(-1) -1

f(-1) = 0

Answer:

Step-by-step explanation:

Log25 1000

Answer:

log5 (1000)

Step-by-step explanation:

logb (x) + logb (y) = logb (xy)

log5 (4) + log5 (250) = log5 (4 * 250) = log5 (1000)

The rate of return of the 12 shares purchased by A is 72.72%.

Here, we are given that A purchases 12 shares at $22 per share.

So the cost price of 12 shares will be = 12 × 22

= 264

A sold these shares at $465.

The commission on sale = $9.

Thus, the total cost of the shares will be = 264 + 9

= $273

Hence, the total profit of A will be-

465 - 273

= 192

The rate of return is calculated as-

Rate of return = profit/cost price × 100

Thus, here-

Rate of return = 192/264 × 100

= 0.7272 × 100

= 72.72%

Thus, the rate of return on these 12 shares purchased by A is 72.72%.

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Answer:

I think it would be 9 meters.

Step-by-step explanation:

5x2=10

28-10=18

18(divided by)2=9 meters

Answer:

9 meters long

Step-by-step explanation:

the perimeter is 28 meters. itts 5 meters wide and itt is recttangle so itt have two of the same width. so now 5x2=10 and 28-10=18 now 18/2=9. please mark me brainliest if i got it correct