What is one value that is a solution t
o 4x+ .8>3.2 b
ut not -6 <-5x - 1

Answer:

1 mile

Step-by-step explanation:

Jamal's Distance = 3 miles

Since Brendan lives 2 miles closer than Jamal, you do 3 - 2 = 1

Since Jamal lives 1 mile closer than Aisha, you do 3 - 1 = 2

Then, you do 2 - 1

Answer: 1

Answer:

D.420

Step-by-step explanation:

400 *0.05 = 20 so adding it to 400 will equal to 420

Answer:

C

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

1.turn 7 1/2 into a mixed number: 15/2.

2:Follow the rule keep, switch flip.

3.Before=15/2 divided by 3/4

4.Now= 15/2 x 4/3 = 60/6

5.Simplify 60/6 to 10.

Answer:

The answer is 10.

Answer:

The CORRECT Answer is option D

By sum of the nth term of the arithmetic sequence we can say that, it will take total 5 number of days to hatch all the eggs.

Let the number of days taken by butterfly to hatch the eggs be n.

According to the given question.

Total number of butterfly eggs = 300

Number of eggs hatch on first day = 10

The number of eggs that hatch increases by 25 each day.

Therefore,

Number of eggs hatch on second day = 10 + 25 = 35

Number of eggs hatch on third day = 35 + 25 = 60

Number of eggs hatch on fourth day = 60 + 25 = 85

Like that we have arithmetic sequence with a common difference of 25.

10, 35, 60, 85, ...

Here, it is given that the total number of eggs are 300.

Therefore,

300 = (n/2)[2(10) + (n -1)25]

⇒ 600 = n[20 + 25n -25]

⇒ 600 = n[25n -5]

⇒ 600 = 5n[5n - 1]

⇒ 120 = n[5n -1]

⇒ 120 = 5n^2 - n

⇒ 5n^2 - n - 120 = 0

\(n = \frac{1\pm\sqrt{1^{2} -4(5)(120)} }{10}\)

⇒ \(n = \frac{1\pm \sqrt{2401} }{10}\)

⇒ n = 1 ± 49/10

⇒ n = 50/10 0r -48/10 (not possible)

⇒ n = 5

Hence, the total number of days according to arithmetic sequence by the butterfly to hatch the eggs is 5 .

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We can approach this problem using a recursive strategy. We can't choose 0 or a multiple of 3 for the first digit, and we can't choose a multiple of 3 for the second digit if the first digit is not a multiple of 3)

Let's define a function f(n) as the number of valid strings of length n, where no multiples of 3 are beside one another. We want to find f(10), the number of valid strings of length 10.

To compute f(n) for a given n, we can use the following recursive formula:

f(n) = (8n-1) f(n-1) - g(n-1)

where (8n-1) represents the number of possible choices for the first digit in a string of length n (since the first digit can't be 0, and we can't have any multiples of 3 beside it), f(n-1) represents the number of valid strings of length n-1, and g(n-1) represents the number of invalid strings of length n-1 that end in a multiple of 3.

To compute g(n-1), we need to consider all possible strings of length n-2 that end in a digit that is a multiple of 3, and multiply by the number of valid choices for the next digit. Let h(n-2) be the number of valid strings of length n-2 that end in a digit that is a multiple of 3. Then we can compute g(n-1) as:

g(n-1) = h(n-2) × 2n-1

where the factor of 2n-1 represents the number of choices for the final digit in a string of length n-1 (since we can't choose a multiple of 3).

To compute h(n-2), we can use another recursive formula. Let h(k) be the number of valid strings of length k that end in a digit that is a multiple of 3. Then we can compute h(k) as:

h(k) = f(k-1) - h(k-1)

where f(k-1) represents the total number of valid strings of length k-1 (since any valid string of length k-1 can be extended with a multiple of 3 to form a valid string of length k), and h(k-1) represents the number of invalid strings of length k-1 that end in a multiple of 3.

Using these formulas, we can compute f(10) as follows:

h(1) = 0 (there are no valid strings of length 1 that end in a multiple of 3)

f(1) = 9 (there are 9 possible choices for the first digit)

h(2) = 2 (there are 2 invalid strings of length 2 that end in a multiple of 3: 30 and 60)

f(2) = (8×2-1) f(1) - h(1) = 143 (there are 143 possible choices for the first two digits,

since we can't choose 0 or a multiple of 3 for the first digit, and we can't choose a multiple of 3 for the second or third digit if the first and second digits are not multiples of 3) h(4).

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Answer:

4 or 7

Step-by-step explanation:

First job: 1 penny

Second job: Double the first one, 2*1, so 2

Third job: Double the second job, 2*2, so 4

On the third job you make 4 pennies. Overall you make 1+2+4=7. I'm not sure if you mean just the third job, or after the third job. I put both answers just in case.

To determine the payment for the third job, we need to find the payment for the second job, as the payment for the third job will be double that of the second job.

The payment for the first job is 1 penny. The payment for the second job will be double the payment for the first job, which is 2 pennies.

Therefore, the payment for the third job will be double the payment for the second job, which is 4 pennies.

This situation is an example of exponential growth, where the quantity being measured increases at a constant percentage rate with respect to time or some other independent variable.

Exponential growth is commonly seen in many real-world situations, such as population growth, compound interest, and the spread of diseases.

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Answer:

1

Step-by-step explanation:

Using the Pigeonhole Principle, it can be shown that in a set of n positive integers, none exceeding 2n, there is at least one integer that divides another integer.

We can prove this statement by contradiction using the Pigeonhole Principle.

Suppose we have a set of n positive integers, none of which exceed 2n, and assume that no integer in the set divides another integer.

Consider the prime factorization of each integer in the set. Since each integer is at most 2n, the largest prime factor in the prime factorization of any integer is at most 2n.

Now, let's consider the possible prime factors of the integers in the set. There are only n possible prime factors, namely 2, 3, 5, ..., and 2n (the largest prime factor).

By the Pigeonhole Principle, if we have n+1 distinct integers, and we distribute them into n pigeonholes (corresponding to the n possible prime factors), at least two integers must share the same pigeonhole (prime factor).

This means that there exist two integers in the set with the same prime factor. Let's call these integers a and b, where a ≠ b. Since they have the same prime factor, one integer must divide the other.

This contradicts our initial assumption that no integer in the set divides another integer.

Therefore, our assumption must be false, and there must be at least one integer in the set that divides another integer.

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Answer:

cosine

Step-by-step explanation:

The correct trig function would we use with the 35° angle to find the length of JG is,

⇒ Inverse cosine

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Angle = 35°

Hence, The correct trig function would we use with the 35° angle to find the length of JG is,

⇒ sec 35° = Hypotenuse / Base

⇒ 1/cos 35° = 9 / JG

Thus, The correct trig function would we use with the 35° angle to find the length of JG is,

⇒ Inverse cosine

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The 90% confidence interval for the difference in the population means is -2.51 to 0.31

From the question, we have the following parameters that can be used in our computation:

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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Answer:

-9/7

Step-by-step explanation:

Put the equation into y = mx + b form, by first isolating y:

9x + 7y= 7

7y = -9x + 7

Divide each side by 7:

y = -9/7x + 1

So, -9/7 is the slope.

The statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false. This statement is False. If f'(x) = g'(x) for 0 < x < 6, it means that the derivatives of both functions are equal on the interval (0, 6).

However, this does not necessarily mean that the functions themselves are equal on that interval.

In other words, there could be a constant difference between f(x) and g(x), which would not affect their derivatives.

To illustrate this, consider the functions f(x) = x^2 and g(x) = x^2 + 1. The derivative of both functions is 2x, which is equal for all values of x.

However, f(x) and g(x) are not equal on the interval (0, 6), as g(x) is always greater than f(x) by 1.

Therefore, the statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false.

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Answer:

D. 4.5

Step-by-step explanation:

<3

Answer:the answer will be D)4.5

Step-by-step explanation:

Answer:

Solution- x = 5 Equation- x + 4 = 9

Step-by-step explanation:

I hope this helps you understand.

The product of matrices A and B, denoted as C = AB, is determined by performing matrix multiplication using the given matrices. In this case, A is a 2x1 matrix and B is a 1x3 matrix. The resulting matrix C will have dimensions 2x3.

To find the product of matrices A and B, we perform matrix multiplication by multiplying corresponding elements and summing the results.

The dimensions of the matrices must be compatible for multiplication, meaning the number of columns in the first matrix must match the number of rows in the second matrix.

Given matrices A and B:

A = [9 1]

B = [2 6 7]

To calculate C = AB, we multiply each element of A with the corresponding element in B, and then sum the results. The resulting matrix C will have dimensions 2x3.

C = [92 + 13 96 + 16 97 + 15]

Calculating each element of C, we have:

C = [18 + 3 54 + 6 63 + 5]

[21 60 68]

Simplifying, we get:

C = [21 60 68]

Therefore, the product of matrices A and B, denoted as C = AB, is the matrix:

C = [21 60 68]

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The combination shows that the number of ways to select 4 out of the 50 minions will be 230300.

From the information given, it can be noted that this involves a combination rather than permutation.

In this case, the number of ways to select 4 out of the 50 minions will be:

= 50! / (50-4)!4!

= 230300

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Answer with step-by-step explanation:

Distance: 7.071068

Answer:

And 2 is a natural number comes under every category, so correct option is

Given :

Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug.

To Find :

How many mugs did Jack make if he had 28.88 lbs of clay left over.

Solution :

Clay required to make 1 mug, r = 0.72 lbs.

Amount of clay left after making sculpture is, T = 28.88 lbs.

Now, number of clay mug Jack can make is :

\(n = \dfrac{28.88}{0.72}\\\\n= 40.11\)

Since, number of mug cannot be in decimal, so we take the floor value.

Therefore, number of mug that can be prepared is 40 .

Answer:

Step-by-step explanation:

A and B are complementary angles since C is right angle.

Answer:

diameter of a circle

Step-by-step explanation:

Answer:

A diameter of a circle

Step-by-step explanation:

given the construction we have to choose the construction which uses the compass for only one step in addition to drawing circle itself . show a diameter of a circle only e uses one stay in addition to draw circle itself

If on  Monday Tom work for 11 extra hours the total amount of money that tom made on Monday is £885.

As per the given data, the extra money he earns can be calculated as,

= [(11 - 7) × 15] × 13 + (7 × 15)]

= (4 × 15 × 13) + 105

= 780 + 105

= £885

Therefore, the amount of money  is £885.

Time and work are concerned with how long it takes a person or a group of people to finish a task and how well each of them completes it.

Indirect proportion is related to time and work. In both directions, when one quantity rises, the other falls, and vice versa. It takes less time to finish the same amount of work when people work more hours.

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Given:

The equation is:

\(\dfrac{y}{p-q}=\dfrac{y}{p+q}\)

To find:

The value of y.

Solution:

We have,

\(\dfrac{y}{p-q}=\dfrac{y}{p+q}\)

On cross multiplication, we get

\(y(p+q)=y(p-q)\)

\(yp+yq=yp-yq\)

\(yp+yq-yp+yq=0\)

\(2yq=0\)

Dividing both sides by 2q, we get

\(\dfrac{2yq}{2q}=\dfrac{0}{2q}\)

\(y=0\)

Therefore, the correct option is A.

\( \Large{\boxed{\sf z= -\dfrac{59}{\: 34} + \dfrac{19}{34}i}} \)

\( \\ \)

To express the given complex number in a + bi form, also known as algebraic form, we will need to define what the conjugate of a complex number is.

\( \\ \)

\( \\ \)

\( \textsf{Let z be our complex number, and} \: \overline{\sf z} \: \textsf{its conjugate.} \)

\( \\ \)

The conjugate of z, \( \overline{ \sf z}, \) is the complex number formed of the same real part as z but of the opposite imaginary part.

Since a is the real part of z, and b is its imaginary part, this can be expressed as:

\( \sf If \: z = a + ib \:, then \: \overline{ \sf z} = a - ib \)

\( \\ \)

\( \\ \)

\( \sf z = \dfrac{7 - 8i}{ - 5 + 3i} \\ \\ \\ \diamond \sf Multiply \: both \: the \: numerator \: and \: the \: denominator \: by \: the \: conjugate \: of \: - 5 + 3i. \\ \\ \\ \sf z = \bigg(\frac{7 - 8i }{ - 5 + 3i \: } \bigg) \times \bigg( \frac{ - 5 - 3i}{ - 5 - 3i} \bigg) = \dfrac{(7 - 8i)( - 5 - 3i)}{( - 5 + 3i)( - 5 - 3i)} \\ \\ \\ \diamond \: \sf Expand \: knowing \: that \: (a + b)(c + d) = ac + ad + bc + bd. \\ \\ \\ \\ \sf z = \dfrac{7( - 5) + 7( - 3i) + ( - 8i)( - 5) + ( - 8i)( - 3i)}{( - 5)( - 5) + ( - 5)( - 3i) + 3i( - 5) + 3i ( - 3i)} \\ \\ \\ \sf z = \dfrac{ - 35 - 21i + 40i + 24 {i}^{2} }{25 + 15i - 15i - 9 {i}^{2} } = \dfrac{24 {i}^{2} + 19i - 35 }{25 - 9{i}^{2} } \\ \\ \\ \diamond \sf \: Substitute \: {i}^{2} = - 1. \\ \\ \\ \sf \: z = \dfrac{24( - 1) + 19i - 35}{25 - 9( - 1)} = \dfrac{ - 24 + 19i - 35}{25 - ( - 9)} = \dfrac{ - 59 + 19i}{34} \\ \\ \\ \diamond \: \sf Simplify \: the \: expression. \\ \\ \sf \: z = \dfrac{ - 59 + 19i}{34} = \dfrac{ - 59}{ \: \: 34} + \dfrac{19i}{34} \\ \\ \\ \\ \implies \boxed{ \boxed{ \sf z = - \dfrac{59}{34} + \dfrac{19}{34}i }} \)

\( \\ \\ \)

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The enlarged node that the nurse should suspect that the client has a blockage within the right lymphatic duct is the right cervical node

A network of tissues, blood arteries, and organs called the lymphatic system collaborates to transport lymph, a colorless, watery fluid, back into your circulatory system. Every day, your body's arteries, smaller arteriole blood vessels, and capillaries circulate about 20 liters of plasma.

The right lymphatic duct receives drainage from the right cervical node. The thoracic duct receives drainage from the superficial popliteal, superficial inguinal, and lumbar nodes. The sides and back of the neck include the cervical lymph nodes.

Typically, these glands are incredibly tiny. A lymph node, however, is swollen if its diameter is higher than 1 centimeter. Deep inside the neck, the cervical lymph nodes are located.

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Answer: 358

Explanation:  370 - 12 = 358

Graph C could represent a cubic function. Graphs A, B, and D do not represent a cubic function.

A cubic function is a polynomial function of degree 3, meaning it has the highest exponent of x as 3. In Graph C, the curve exhibits a smooth, "S"-shaped appearance with both positive and negative values of y, indicating it could represent a cubic function.

Graph A shows a linear function with a constant slope, which is not characteristic of a cubic function. Graph B shows an exponential growth function, characterized by a steep upward curve, which is also not representative of a cubic function. Graph D shows a quadratic function, which has a maximum or minimum point but lacks the "S"-shaped curve typically associated with a cubic function.

In conclusion, Graph C is the most likely representation of a cubic function among the options provided.

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However, the complete question should include a reference to the question:

Answer:

Graph C is the correct answer.