Can someone please explain how to do this...

Answer: a

Step-by-step explanation:

10/2 = 5

5-6=-1

Part A

The slope of line \(a\) is \(\frac{1}{2}\). Perpendicular lines have slopes that are negative reciprocals of each other, so the answer is \(\boxed{-2}\).

Part B

Using point-slope form, the equation of line \(b\) is \(y-2=-2(x+6)\).

The \(y\)-intercept is where \(x=0\).

\(y-2=-2(0+6) \implies y-2=-12 \implies y=\boxed{-10}\)

To put the equation y = -4x^2 + 48x - 149 into graphing form, you will need to complete the square. Here is a step-by-step process:

Begin by factoring out the coefficient of the x^2 term. In this case, the coefficient is -4, so you will need to factor out a -4:

y = (-4)(x^2) + 48x - 149

Next, you will need to add and subtract a value in order to complete the square. The value you add and subtract should be equal to the square of half of the coefficient of the x term. In this case, the coefficient of the x term is 48, so you will need to add and subtract (48/2)^2 = 144:

y = (-4)(x^2 + (48/2)^2 - (48/2)^2) + 48x - 149

Simplify the expression inside the parentheses:

y = (-4)(x^2 + 144 - 144) + 48x - 149

Simplify the expression inside the parentheses:

y = (-4)(x^2) + 48x - 149

Rearrange the terms so that the x^2 term is on the left side and the constant term is on the right side:

x^2 - 12x - 37 = 0

Factor the quadratic equation:

(x - 7)(x + 5) = 0

The solutions to the equation are x = 7 and x = -5. These are the x-coordinates of the points where the graph of the equation intersects the x-axis.

To plot these points on the graph, you will need to substitute each value of x into the original equation and solve for y. For example, if x = 7, then y = (-4)(7^2) + 48(7) - 149 = 25. Similarly, if x = -5, then y = (-4)(-5^2) + 48(-5) - 149 = -149.

Plot the points (7, 25) and (-5, -149) on the graph. The graph of the equation y = -4x^2 + 48x - 149 will be the parabola that passes through these two points.

1)

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6.4\%\to \frac{6.4}{100}\dotfill &0.064\\ t=years\dotfill &18 \end{cases} \\\\\\ I = (2000)(0.064)(18)\implies I=2304\)

2)

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 6.4\%\to \frac{6.4}{100}\dotfill &0.064\\ t=years\dotfill &30 \end{cases} \\\\\\ A=2000[1+(0.064)(30)]\implies A=2000(2.92)\implies A=5840\)

Answer:

after 18 years : $477,685.19

after 30 years: $661,353.82

Step-by-step explanation:

interest formula: A=P(1+r/n)^nt

so...

2000(1+6.4/18)^18 = 477685.1913 rounds to $477,685.19

2000(1+6.4/30)^30 = 661353.8157 rounds to $661,353.82

Answer:

5

Step-by-step explanation:

Plug 1 into the x.

So 2(1)+3

2+3

5 is your final answer.

Using the equation, the pounds of raisins Priya bought, spending a total of $11.70 if she bought the following amounts of almonds are:

1. 2 pounds of almonds and pounds of raisins will be 0.473 pounds.

2. 1.06 pounds of almonds and pounds of raisins will be 2.47 pounds.

3. 0.64 pounds of almonds and pounds of raisins will be 3.04 pounds.

4. A pound of almonds and pounds of raisins will be 2.36 pounds.

An equation is a mathematical statement that lays the claim that two mathematical expressions are equal or equivalent.

Cost per unit (Almonds) = $5.20

Cost per unit (Raisins) = $2.75

Total cost spent for Almonds and Raisins = $11.70

Equation relationship:

Let pounds of almonds = a

Let pounds of raisins = r

Total cost equation: 5.20a + 2.75r = 11.70

1. 2 pounds of almonds and pounds of raisins will be:

5.20(2) + 2.75r = 11.70

10.40 + 2,75r = 11.70

2.75r = 11.70 - 10.40

2.75r = 1.30

r = 0.473 (1.30/2.75)

r = 0.473 pounds

2. 1.06 pounds of almonds and pounds of raisins will be:

5.20(1.06) + 2.75r = 11.70

4.90 + 2.75r = 11.70

2.75r = 6.80

r = 2.47 pounds

3. 0.64 pounds of almonds and pounds of raisins will be:

5.20(0.64) + 2.75r = 11.70

3.33 + 2.75r = 11.70

2.75r = 11.70 - 3.33

2.75r = 8.372

r = 3.04 pounds

4. A pound of almonds and pounds of raisins will be:

5.20(1) + 2.75r = 11.70

5.20 + 2.75r = 11.70

2.75r = 11.70 - 5.20

2.75r = 6.5

r = 2.36 pounds

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Answer:

D. 20

Step-by-step explanation:

Since you are subtracting, you can add 4 and 1. The sum is 5. 20/4 is equal to 5 so R = 20.

Answer: the width is 8 miles

Step-by-step explanation:

Answer:

9) y=x+16

10) width=x-a

Step-by-step explanation:

You can find the complete solution for question 9 and question 10 in the given attachment

ANSWER 9)

FROM FIGURE

area of televsion=area of rectangle=length×breadth

Given,

Area of rectangle=x²+16x

x²+16x=length×breadth

x²+16x=y×x

dividing by x on both sides we get

x+16=y

Hence y=x+16

I hope it helped you

The correct answer is 64

Demoivre's theorem states that for all complex numbers z and all positive integers n:

z^n = (r^n) × (cos(n∅) + isin(n×∅))

where r is the magnitude of z and theta is the argument of z.

To use Demoivre's theorem to simplify (1−i)^12, we can first write (1−i) in polar form as r × cis(∅). where r is the magnitude and cis(∅) is the size complex number. is 1, the argument ∅. In this case the size of (1−i) is √(1^2 + (-1)^2) = √(2) and the argument of (1−i) can be found using the arctangent function.

∅ = arctan(-1÷1) = -45 degrees.

So (1−i) can be written as sqrt(2) × cis(-45 degrees). Applying this to Demoivre's theorem, we get:

(1−i)^12 = (√(2)^12) × (cos(-540°) + i×sin(-540°))

We can simplify this to:

(1−i)^12 = 2^6 × cis(-180°)

This can be further simplified as follows.

(1−i)^12 = 64 × (-1)

the final answer is -64.

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The formula used to gain information about an individual data value when the variable is normally distributes is,  Z = (X - μ)/σ.

What is standard normal distribution?

The standard normal distribution, also known as the z-distribution, is a unique type of normal distribution in which the mean and standard deviation are both equal to 1.

Any normal distribution's values can be transformed into z scores to standardize it.

Z scores indicate the number of standard deviations away from the mean that each value represents.

The Z score is determined by the number of standard deviations above or below the mean for the standard normal distribution.

When a variable (let's say X) is normally distributed, then to get insights from its distribution, we transform it (i.e. X) into standardized variable (which constitutes "Standard" Normal Distribution).

Standardized variable, Z, is given by  (X - μ)/σ

Hence, option B is correct answer.  Z = (X - μ)/σ.

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Complete question:

Complete question is attached below.

Answer:

9

Step-by-step explanation:

3*2=6

6+3=9

The value of the equation is A = ⁵√32,768 is A = 8

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ⁵√32,768   be equation (1)

On simplifying the equation , we get

A = 8 x 8 x 8 x 8 x 8 = 32,768

So , the 5th root of ( 32,768 ) is 8

Therefore , the value of A = 8

Hence , the equation is A = 8

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When drawing cabinets obliquely, we start with the front face of an object and draw the depths or sides at 45 degrees.

The object is depicted as having a cabinet oblique with half height and full depth. In a cabinet oblique drawing, the object's height is depicted at half scale while its depth is represented at full scale.

In doing so, a foreshortening effect is produced, giving the object a deeper than tall appearance. The drawing is normally displayed at a 45-degree angle, with the breadth of the object drawn to full scale.

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Answer:

45 minutes

Step-by-step explanation:

I attached a pic of my work.

♡ The Question/Task(s)! ♡

✦ || What is the minimum amount he needs to save each month?

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♡ The Answer(s)! ♡

✦ || The answer is, "$750"!

I apologize in advance if the answer is incorrect! ♡

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♡ The Explanation(s)/Step-By-Step! ♡

✦ || No Explanation(s)/Step-By-Step Provided!

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♡ Tip(s)! ♡

✦ || No Tips Provided!ヽ(>∀<☆)ノ

Division is one of the most basic arithmetical operators. The amount that Alejandro need to save for each month is $375.

The division is one of the most basic arithmetical operators. When we divide a number (P) by another number(q), then it tells us how many times the other number(q) must be added to itself to form the first number(P).

It is given that the cost of tuition for the two years is $12,000, while the financial aid that Alejandro is eligible for is $7500, therefore, the amount that he will not be able to pay with his scholarship(financial aid) will be the difference in the fees of the student and the financial aid he is getting.

Hence, We get;

Difference = Two-year tuition fees - Financial Aid

                = $12,000 - $7,500

                 = $4,500

Now, Alejandro needs to save for a year so the sum he saves is $4500 therefore, the amount he needs to save each month can be written as,

⇒ $4500 / 12

⇒ $375

Hence, the amount that Alejandro need to save for each of the month so that he can pay his tuition fee is $375.

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Answer:

Yes

Step-by-step explanation:

-3(-3) = 9

Product of two negatives is positive

Answer:

yes, -3 is a solution of -3x = 9

Step-by-step explanation:

substitute -3 for x in the equation

-3x = 9

-3*-3 = 9

9 = 9

since 9 does in fact equal 9, the answer is yes!

False. A p-value is used to determine the probability of an observed correlation occurring by chance, and a statistically significant p-value indicates that the observed correlation is not due to random chance, but rather a real correlation between the two variables.

A p-value is calculated by comparing the observed correlation of the two variables to the expected correlation from a randomly generated data set. The lower the p-value, the greater the chance that the observed correlation is not due to random chance. If the p-value is below a predetermined threshold (often set at 0.05) then the correlation is considered statistically significant and not due to random chance. Therefore, a p-value for correlation which is statistically significant implies that the correlation is real, and not due to random chance.

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Answer:

a = \(\frac{e+d}{b+c}\)

Step-by-step explanation:

To isolate the a, the first thing I would do is bring the d to the other side of the equation, remember to switch the sign. This would give me a(b+c) = e+d. Next, in order to get rid of the (b+c), bring it to the other side by dividing since it is attached to the a variable by multiplication. This leaves me with a = e+d / b+c. Make sure not to distribute, this would duplicate your a variable.

Answer:

0.26

Step-by-step explanation:

This is a Isosceles triangle so every side is 60

equation= 60x+60+60x=92

60x+60x=120x

120x+60=92

60-60=0

92-60=32

120x=32

32/120=0.26

x:4h

Find the unit rate of this equation.

\( \frac{x}{4} = h\)

Multiply both equations by 10, and simplify the results.

\( \frac{10x}{4} = 10h\)

\(2.5x = 10h\)

\(0.25x = h\)

Don should focus on sales promotion if he wants to help his clients create and maintain favorable relationships with their various internal and external groups. Option E is correct.

Hence we can conclude based on the explanation above that don should focus on sales promotion if he wants to help his clients create and maintain favorable relationships with their various internal and external groups.

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An arithmetic logic unit (ALU) performs all arithmetic operations (for example, addition and subtraction) and all logic operations.

An arithmetic logic unit (ALU) is a digital circuit used to perform arithmetic and logic operations. It represents the fundamental building block of the central processing unit (CPU) of a computer. Modern CPUs contain very powerful and complex ALUs. In addition to ALUs, modern CPUs contain a control unit (CU).

Basic arithmetic and logical operations are carried out using an ALU. Addition, subtraction, multiplication, and division are a few examples of arithmetic operations.

Binary numbers, or 0 and 1, are used to store and modify every piece of data in computers. Since a switch has just two possible states—open or closed—transistor switches are used to alter binary numbers. An open transistor, through which no current flows, is equivalent to a 0. A closed transistor with a current flowing through it symbolizes a 1.

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Answer:

hope this answer helps you dear!

Answer

x = 3 ± i

x = (3 + i)

OR

x = (3 - i)

Explanation

To solve this, we need to note that √(-1) = i

So, for this simplification

√(36 - 40) = √(-4) = √[(4)(-1)] = 2i

We can now fully simplify the expression given

x = 3 ± i

x = (3 + i)

OR

x = (3 - i)

Hope this Helps!!!