Please help me find the answer! Please explain how you got it!

Answer:

k = - 8

Step-by-step explanation:

given that (x - a) is a factor of f(x) , then f(a) = 0

given

(x - 1) is a factor of f(x) then f(1) = 0 , that is

3(1)³ + 5(1) + k = 0

3(1) + 5 + k = 0

3 + 5 + k = 0

8 + k = 0 ( subtract 8 from both sides )

k = - 8

Answer:

70°

Step-by-step explanation:

angle abc =140°

and bd bisected by bd so, bd divede angle abc.

angle dbc= angle abc / 2

angle dbc=140°/2

angle dbc=70°

The decay Σ+→Λ0+�+Σ+→Λ0+π+is allowed based on conservation laws and rules.

Here's the reasoning:

Conservation of charge: The total charge on the left-hand side (Σ+Σ+) is +1, and on the right-hand side (Λ0+�+Λ0+π+) is also +1. Therefore, the decay is consistent with the conservation of charge.

Conservation of baryon number: The total baryon number on the left-hand side is +1 (since Σ+Σ+has baryon number +1), and on the right-hand side, the sum of the baryon numbers ofΛ0Λ0and�+π+is also +1.

Hence, baryon number is conserved in this decay.

Conservation of strangeness: The strangeness quantum number is conserved separately for each particle in the decay. The strangeness of

Σ+Σ+is 0, whileΛ0Λ0has strangeness -1 and�+π+has strangeness 0. The sum of the strangeness values on the right-hand side is -1 + 0 = -1, which matches the strangeness of the Σ+Σ+on the left-hand side. Therefore, strangeness is also conserved.

Based on the conservation laws of charge, baryon number, and strangeness, we can conclude that the decay

Σ+→Λ0+�+Σ+→Λ0+π+is allowed.

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Answer:

It would be -89/100

That is the lowest form and can not be reduced

Answer:

- 89/100

Step-by-step explanation:

You can't simplify it, so it'd remain over 100 !

Answer:

Step-by-step explanation:

Answer:

$15 an hour

Step-by-step explanation:

90 divided by 6 is 15.

Answer:

$15 per hour

Step-by-step explanation:

There's six hours so to get each hour, divide the $90 dollars by 6 and you will find your answer.

Please  Brainliest if  you found this helpful!

The calculation 18/6=108 is not the right representation.

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here: One of the option as 18/6=108

But in the question Jenna buys 6 new shirts at $18

Thus the total cost of the shirts is 18*6=108

But 18/6=3

Thus this expression is not the right calculation.

Hence, The 18/6=108 is not the right representation.

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Answer: To test whether the given trinomial is a perfect square, we should try to write the trinomial in the form of a² + 2ab + b² (or) a² - 2ab + b² If we are able to write the given trinomial in the above form, then it is perfect square. Otherwise the given trinomial is not a perfect square.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

This is a 6th-degree polynomial because the leading term contains the exponent 6.

The reciprocal of 5/11 is: 11/5

The reciprocal of 20 is: since 20=20/1 so the reciprocal is 1/20

Answer: 11/5, 1/20

Step-by-step explanation:

The reciprocal of a value is the numerator and denominator of that value switched.

When you look at 5/11, we see that 5 is the numerator and 11 is the denominator. The reciprocal(switch numerator and denominator) is 11/5.

The reciprocal of 20 can be tricky because it isn't written with a denominator. But we know intuitively that 20 is also equal to 20/1.

Therefore we apply the same steps as in the first instance and we get that the reciprocal of 20/1 is 1/20.

If a decision maker wishes to reduce the margin of error associated with a confidence interval estimate for a population mean, she can increase the sample size.

The margin of error refers to the statistic measurement that expresses the level of random sampling error in the outcomes of a survey. If the margin of error of the result is high, the confidence level would be low that a result reflects the census of the entire population. It indicated the difference between the actual and estimated results in a random survey sample. The margin of error is generally used in non-survey contexts to show observational error in reporting measured quantities. In order to minimize the margin of error associated with a confidence interval estimate for a population mean, the researchers can increase the sample size to capture the actual trend of the population more accurately.

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Answer:

15

Step-by-step explanation:

Change x to the declared value: \(5|6-9|\)

Subtract: \(5|6-9| = 5|-3|\)

NOTE: remember that little minus big = negative of big minus little.

i.e.: 6-9 = -(9-6) = -(3) = -3

Evaluate the Absolute Value: \(5|-3| = 5(3)\)

NOTE: remember that the absolute value of a number = the number's distance from 0 (always a positive number).

i.e.: |-2| = 2; |5| = 5

Multiply: \(5(3) = 15\)

Answer:

22

Step-by-step explanation:

blue = 1

red = 10

green= 2

Answer:

43

Step-by-step explanation:

red:10

green 1:4

green 2:8

blue 1:3

blue 2:6

blue 1 + red 1 * green 1

PEMDAS: (10*4)=40

3+40=43

we have the quadratic equation

w (x) =2x^2+10x+13

Solve the equation using the formula

so

a=2

b=10

c=13

substitute

The given equation don't have real zeros

The solutions are complex numbers

Answer: x = 2

Step-by-step explanation:

The rule for reflecting over  x = 2 is that y remains the same and you add how many units x = 2 is from the point.

x = 2 is has the coordinate of x = 2 and y = the y coordinate of the point.

A (-1, 1) Since the y coordinate of (-1, 1) is 1, x = 2 - (2, 1)

Add 3 units to 2, the x coordinate since -1, 1 is 3 units from 2, 1

2,1 --> 5, 1

I really didn't know how to explain but Im 100% sure Im right and I hoped this helped somehow.

We will have the following:

We will have to sum 3 consecutive numbers, so we will name those numbers:

n

n+1

n+2

and the fourth number n+3

We can see that they are consecutive since the sepatation is of 1 unit each, we will also have that they must follow:

So, we solve for n:

So, the three consecutive numbers are: 22, 23, & 24:

And we prove this by adding them and then subctacting 44 nd we should get 25:

Answer: \(\$2400\)

Step-by-step explanation:

Given

Kaylee's gross income is \(\$32,000\text{per month}\)

\(25\%\) is taken out for taxes and other required deduction

left amount is

\(\Rightarrow 3200-25\%\times 3200\\\Rightarrow 3200(1-0.25)=\$2400\)

So, her take-home pay is \(\$2400\)

Answer:

Your answer : x = 9

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

Answer:

Just learned this-

They are both 1 because of it being to the power of zero and if you type the both in like...

Step-by-step explanation:

sin(73)^0 you get 1

tan(12)^0 you get 1

Answer:

a = 3

Step-by-step explanation:

4(2a - 3) = -2(a - 9)

8a - 12 = -2a + 18

10a = 30

a = 3

Let's check if we got it correct by substituting 3 for a in the original equation.

4(2*3 - 3) = -2(3 - 9)

4(6 - 3) = -2(-6)

4(3) = 12

12 = 12

The value of m remains constant at 3, the value of k will always be 45 according to the given equation.

To find the value of k when k = 5m² and m = 3, we can substitute the given value of m into the equation and calculate the result.

Let's start by substituting m = 3 into the equation for k:

k = 5m²

k = 5(3)

k = 5(9)

k = 45

Therefore, when m = 3, the value of k is 45.

In this equation, we have a variable, m, which is squared and multiplied by 5. When m is equal to 3, we substitute it into the equation to find the value of k. By plugging in 3 for m, we perform the necessary calculations to determine that k equals 45.

It's important to note that this is a specific case where m is assigned the value of 3. If m were to have a different value, the resulting value of k would also change according to the equation k = 5m².

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The answer is yes, (x + 6) is a possible length of a rectangle with area x² + x − 30.

To determine whether (x + 6) is a possible length of a rectangle with area x^² + x − 30, we can use an area model to visualize the situation.

First, we need to find the width of the rectangle.

The area of a rectangle is given by the formula A = lw,

where A is the area, l is the length, and w is the width.

We are given that the area is x² + x − 30, so we can set this equal to lw and solve for w:

x² + x − 30 = (x + 6)w

w = (x² + x − 30)/(x + 6)

The length of a rectangle must be greater than or equal to its width, so we need to check whether (x + 6) is greater than or equal to (x² + x − 30)/(x + 6). This simplifies to:

(x + 6) ≥ x² + x − 30

Expanding the left side and simplifying, we get:

x² + 12x + 36 ≥ x² + x − 30

11x ≥ -66

x ≥ -6

Since x must be a positive number (since we are dealing with lengths), we can conclude that (x + 6) is the possible length of the rectangle. Therefore, the answer is yes, (x + 6) is a possible length of a rectangle with an area x² + x − 30.

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The linear equation that shows a proportional relationship is:

y = 3/2 x

A proportional relationship is represented by an equation of the form

y = kx, where k is a constant.

1. y= -2 is not linear equation

2. y= 3x+ 1 is not linear equation

3. y = 3/2x is linear equation,

In this equation, the coefficient of x is 3/2, which is a constant. The value of y is directly proportional to the value of x, and the ratio between y and x remains constant.

4. y= 1/2x- 3 is not linear equation.

Therefore, the linear equation that shows a proportional relationship is:

y = 3/2 x

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The series ∑[n=1 to ∞] (5 * 6ⁿ)/(7ⁿ) is convergent.

What is convergent series ?

A convergent series is a series in mathematics where the sum of its terms approaches a finite value as the number of terms increases towards infinity. In other words, a convergent series has a well-defined sum.

To determine the convergence or divergence of the series, we can analyze the behavior of the terms as n approaches infinity.

Let's look at the general term of the series, (5 * 6ⁿ)/(7ⁿ). As n increases, the denominator 7ⁿ grows much faster than the numerator 5 * 6ⁿ. This is because the base of the exponent, 7, is greater than both 5 and 6.

As a result, the general term approaches zero as n goes to infinity, indicating that the terms of the series are getting smaller and smaller.

By applying the ratio test, we can further confirm the convergence of the series. Taking the ratio of consecutive terms:

[(5 * 6(n+1))/(7(n+1))] / [(5 * 6ⁿ)/(7ⁿ)] = (6/7)

Since the ratio (6/7) is less than 1, the series converges.

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Answer:

five because 5×3 is 15 and 5×1 is 5

The equation as given in the task content whose solution is to be determined has; infinitely many solutions.

It follows from the task content that the number of solutions which satisfy the given equation are to be determined.

On this note, it follows that the since the equation given is;

−4(x+5)=−4x−20

By solving the parentheses by distributive property; we have;

-4x -20 = -4x - 20

It therefore follows from the equation above that both sides of the equation are equal and identical.

Hence, the equation given has infinitely many solutions.

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Answer:

-53 /14

Step-by-step explanation:

Answer:

The answer is -1.8

Step-by-step explanation:

5 x -1.8 = -9 = -9 divided by -1.8 = 5

Answer:

-1.8

Step-by-step explanation:

You can reverse it by doing -9/5 and you get -1.8.

Hope this helps! Pls give brainliest!

Therefore, the value of the definite integral is -7, rounded to three decimal places.

Definite integral:

S=∫¹(25+(x-3)²) dx

S= ∫¹25 dx + ∫¹(x-3)² dx          

S= [25x] + [x³/3 - 6x² + 27x -27]¹    

Evaluate S at x=1 and x=0

S=[25(1)] + [1³/3 - 6(1)² + 27(1) -27] - [25(0)] + [0³/3 - 6(0)² + 27(0) -27]  

S= 25 + (1/3 - 6 + 27 - 27) - 0 + (0 - 0 + 0 - 27)

S= 25 - 5 + (-27)  

S= -7

Given function: f(x) = x² + 3x³ - 4x - 8,  P(-8,1)If P(-8,1) is a point on the graph of f, then we must have:f(-8) = 1.

So, we evaluate f(-8) = (-8)² + 3(-8)³ - 4(-8) - 8

= 64 - 192 + 32 - 8

= -104.

Thus, (-8,1) is not a point on the graph of f (since the second coordinate should be -104 instead of

1).Using long division, we have:

x² + 3x³ - 4x - 8 ÷ x + 8= 3x² - 19x + 152 - 1216 ÷ (x + 8)

Solving for the indefinite integral of f(x), we have:

∫f(x) dx= ∫x² + 3x³ - 4x - 8

dx= (1/3)x³ + (3/4)x⁴ - 2x² - 8x + C.

To find the value of C, we use the fact that f(-8) = -104.

Thus,-104 = (1/3)(-8)³ + (3/4)(-8)⁴ - 2(-8)² - 8(-8) + C

= 512/3 + 2048/16 + 256 - 64 + C

= 512/3 + 128 + C.

This simplifies to C = -104 - 512/3 - 128

= -344/3.

Therefore, the antiderivative of f(x) is given by:(1/3)x³ + (3/4)x⁴ - 2x² - 8x - 344/3.

Calculating the definite integral of f(x) from x = -8 to x = 1, we have:

S = ∫¹(25+(x-3)²) dx

S= ∫¹25 dx + ∫¹(x-3)² dx          

S= [25x] + [x³/3 - 6x² + 27x -27]¹    

Evaluate S at x=1 and x=0

S=[25(1)] + [1³/3 - 6(1)² + 27(1) -27] - [25(0)] + [0³/3 - 6(0)² + 27(0) -27]  

S= 25 + (1/3 - 6 + 27 - 27) - 0 + (0 - 0 + 0 - 27)

S= 25 - 5 + (-27)  

S= -7

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Answer:

Area is 126.5 inches^2

Step-by-step explanation:

Mathematically, to calculate the area of the trapezoid, we use the following mathematical formula;

A = 1/2(a + b) h

here, a and b represents the two parallel sides which is 9 and 14 inches here and h which is the height is 11

Plugging these values into the equation, we have

A = 1/2(9 + 14)11

= 1/2(23)11 = (23*11)/2 = 126.5 inches^2