d + 4(d + 6) = -11 *

Answer:

Step-by-step explanation:

Formula

The basic formula is

y = mx + b

m = the slope

b = the y intercept

What you know so far

y = mx + b.

You know that the slope = -3/4

y = - 3/4 x  + b

y intercept

The point is used to find the y intercept.

x = - 8

y = 5

Subtitute these two values into the equation above.

5 = -3/4 * (-8) + b          Multiply the factors on the right

5 =  6 + b                      Subtract 6 from both sides

5 - 6 = b                       Combine

-1 = b

Answer: y = -(3/4) x - 1

Answer:

\(\Longrightarrow:\boxed{\sf{y=-\dfrac{3}{4}x-1}}\)

Step-by-step explanation:

Use the slope-intercept form.

Slope-intercept form:

\(\Longrightarrow: \sf{y=mx+b}\)

X= (-8)

Y= 5

\(\sf{5=-\dfrac{3}{4}*(-8)+b}\)

5=6+b

Subtract the sign.

5-6=b

Solve.

Isolate the term of b from one side of the equation.

Subtract the numbers from left to right.

⇒ 5-6=-1

⇒ -1=b

Change the equation.

⇒ b=-1

So, therefore, the y-intercept is -1.

\(\Longrightarrow: \boxed{\sf{y=-\dfrac{3}{4}x-1}}\)

I hope this helps! Let me know if you have any questions.

There is a 60.8% chance that the scholarship value will be between 16,000 and 20,000.

The NCAA estimates that the yearly value of a full athletic scholarship at in-state public universities is 19,000.

Assume the scholarship value is normally distributed with a standard deviation of 2100.

Normally distributed means the data follows a bell curve, and the distribution of values is equally likely to be above or below the mean. Thus, if a person scores one standard deviation above the mean,

the probability of their performance is 0.68.What is the probability that the scholarship will be between 16,000 and 20,000?To answer this question, first we have to standardize the values using the following formula.Z = (X - μ) / σWhere Z is the standard score, X is the raw score, μ is the mean, and σ is the standard deviation.

Z for 16,000 can be calculated as follows

:\(Z = (16,000 - 19,000) / 2,100Z = -1.43Z for $20,000\)can be calculated as follows:Z = (20,000 - 19,000) / 2,100Z = 0.48Now we use the standard normal distribution table to find the probability of a Z score between -1.43 and 0.48.P(Z > -1.43) = 0.9236P(Z > 0.48) = 0.3156

The probability of a scholarship being between $16,000 and $20,000 is the difference between the probabilities of the two Z values:

P(-1.43 < Z < 0.48) = P(Z > 0.48) - P(Z > -1.43)= 0.3156 - 0.9236= 0.608

Therefore, there is a 60.8% chance that the scholarship value will be between $16,000 and $20,000.

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The effective interest rate of the loan would be

In this case, we are given 4 options:

The formula of compounded interest rate is:

\(A = P (1+\frac{r}{n})^{nt}\)

Where:

A = amount, P = principal amount, r = interest rate, n = number of times interest rate compounded, t = time

Let’s assume the principal amount is $100 for 1 year

Loan L =

\(A = 100 (1+\frac{0.08254}{356})^{356x1}\)

A = $108.603

Loan M =

\(A = 100 (1+\frac{0.08474}{52})^{52x1}\)

A = $108.834

Loan N =

\(A = 100 (1+\frac{0.08533}{12})^{12x1}\)

A = $108.875

Loan O =

\(A = 100 (1+\frac{0.08604}{1})^{1x1}\)

A = $108.604

Therefore, the best effective interest rate for Craig is Loan L with nominal rate of 8.254% compounded daily.

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Answer:

8, 0

Step-by-step explanation:

Answer:

scroll it down, I can't even see the bottom part..

Step-by-step explanation:

Answer: A. $5 × 25

Step-by-step explanation:

Given the following :

Number of cartons of specialty paper ordered = 24 cartons

Regular price for a carton = $6.88

Discount given off each carton = $1.75

Hence,

Discounted price per carton = $(6.88 - 1.75) = $5.13

Actual amount to be paid for the order :

Discounted price * number of cartons to be ordered

$5.13 * 24

Hence, a reasonable estimate will be :

$5.13 = $5( nearest whole number)

24 can be rounded to 25 (this covers for the $0.13 on the discounted cost per carton)

Reasonable estimate :

$5 × 25

Answer:

The answer is  A. $5 × 25

Step-by-step explanation:

Given that the total number of cartons is 24

the price per carton originally is $6.88

the discount is $1.75

hence the company will have to pay 6.88-1.75= $5.13

hence the price per carton upon removal of the discount is  $5.13

for all 24 cartons, the company will have to pay 24*5.13  

A reasonable estimate from the given option is  

A. $5 × 25

Answer:

60 = \(2^2\) * 3 * 5

Step-by-step explanation:

The process of prime factorization is when one breaks up a number such that it can be represented as the product of many prime numbers. One does this by dividing the prime number by its smallest prime factor. Then one will divide the composite factor by its smallest prime factor, and so on. All of the resulting prime numbers are prime factors of the original number.

60 = 2 * 30

30 = 2* 15

15 = 3 * 5

60 = \(2^2\) * 3 * 5

Answer:

y = \(\frac{1}{3}\) x + \(\frac{10}{3}\)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope m of H using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (3, - 2) ← 2 points on the line

m = \(\frac{-2+3}{3-0}\) = \(\frac{1}{3}\)

Parallel lines have equal slopes, thus

y = \(\frac{1}{3}\) x + c ← is the partial equation

To find c substitute (- 4, 2) into the partial equation

2 = - \(\frac{4}{3}\) + c ⇒ c = 2 + \(\frac{4}{3}\) = \(\frac{10}{3}\)

y = \(\frac{1}{3}\) x + \(\frac{10}{3}\) ← equation of parallel line

Answer:

1,000  

+ 900  

+ 20  

+ 0  

+   0.2

+   0.09

+   0.002

+   0.0003

Step-by-step explanation:

one thousand nine hundred twenty and two thousand nine hundred twenty-three ten-thousandths

Answer:

sequence

Step-by-step explanation:

a sequence is essentially a set [group/list] of numbers, and each number has a specific placement [meaning that there is an order]

hope this helps!!

Answer: this, a set of number in an order, is called a sequence

fill in the blank: sequence

To determine the nominal rate of interest needed monthly, we can use the formula for converting the effective rate to the nominal rate:

Nominal Rate = (1 + Effective Rate)^(1/n) - 1

Where:

Effective Rate is the given effective rate of interest (5.52% in this case)

n is the number of compounding periods per year (12 for monthly compounding)

Let's calculate the nominal rate:

Nominal Rate = (1 + 0.0552)^(1/12) - 1

Using a calculator or spreadsheet, we can evaluate the expression:

Nominal Rate ≈ 0.4562 or 45.62% (rounded to two decimal places)

Therefore, the nominal rate of interest needed monthly, given an effective rate of 5.52%, is approximately 45.62%.

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Answer: A

Step-by-step explanation

2.167x10^4 = 21,670

                   = 9,978

1.1x10^6      = 1100,000

                   = 56,344,000

2.468x10^5 =  246,800

Answer: A. 9,978

Based on the power, move the decimal point that many spaces to the right. (E.g., If it's 4.2 × 10^3, then move the decimal three spaces to the right, and you'd get 4200.)

2.167 × 10^4 = 21670

1.1 × 10^6 = 1100000

2.468 × 10^5 = 246800

Out of all the numbers mentioned in the question, 9,978 is the only one that's less than 2.167 × 10^4 = 21670.

Answer: No

Correct answer: 4 and -2

Step-by-step explanation:

The zeros can be found by solving each of the equations in the parenthesis

equal to zero

x-4=0

x+2=0

Step-by-step explanation:

C.

π/9 is less than sqrt(9) / 3 which is 1. Also, this question is quite ambiguous, and the answer could be none, because sqrt(9)/3 can also be -1

You would expect to pay approximately $131.27 for the shipment. The correct option is: 1) 131.27

To calculate the expected cost of the shipment for a package weighing 33 ounces, we can use the given regression equation:

(cost of delivery) = 3.978 * (weight) + 2.207

Substituting the weight of the package as 33 ounces:

Expected cost of delivery = 3.978 * 33 + 2.207

Calculating:

Expected cost of delivery ≈ 131.27

Therefore, you would expect to pay approximately $131.27 for the shipment.

The correct option is:

1) 131.27

A regression equation is a mathematical formula that represents the relationship between two or more variables. It is used in statistical analysis to estimate the value of one variable based on the values of other variables.

In the context of linear regression, the regression equation takes the form:

Y = b0 + b1*X

where Y is the dependent variable, X is the independent variable, b0 is the y-intercept, and b1 is the slope of the regression line.

The regression equation is used to predict the value of the dependent variable (Y) for a given value of the independent variable (X), based on the estimated values of the coefficients (b0 and b1) obtained from the regression analysis.

It is important to note that the regression equation is specific to the dataset and variables used in the regression analysis. Different datasets and variables may have different regression equations.

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Answer: D) 3x - 5

Step-by-step explanation:

f(x) - g(x)
f(x) = 1/2x - 3
g(x) = -5/2x + 2

Using the values of f(x) and g(x) gives us the equation:
1/2x - 3 - (-5/2x +2)

By distributing the negative sign, the signs on 5/2 and 2 are flipped, making them positive and negative respectively.

Our new equation is:

1/2x -3 + 5/2x -2
Adding up like numbers gives us:

6/2x - 5

Simplifying 6/2x => 3x

So our final equation is:

3x - 5
Hope this helps!

Answer:

x ≥ 5

Step-by-step explanation:

3x - 8 ≥ 7 ( add 8 to both sides )

3x ≥ 15 ( divide both sides by 3 )

x ≥ 5

I am math lover .Before I am also not too fond of math , but if you practiced it will be easy and you loves to do maths and your interest will increase .Sorry for late Answer of attachment will be 5190.

hope it is helpful to you

Answer:

your answer will be 5,190

Step-by-step explanation:

fist you have to subtract 80 from 599 and u will get 519 then you multiply to get the answer

I am also not so good in Math so I still try to help u

The simplification form of the provided expression is 2x²y⁴ option first is correct.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

\(= \rm \sqrt[3]{8x^6y^{12}}\)

\(\rm =\sqrt[3]{8}\sqrt[3]{x^6}\sqrt[3]{y^{12}}\)

\(\rm \rm = \rm 2\sqrt[3]{x^6}\sqrt[3]{y^{12}}\)

\(\rm =2x^2\sqrt[3]{y^{12}}\)

\(\rm =2x^2y^4\)

Thus, the simplification form of the provided expression is 2x²y⁴ option first is correct.

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Answer: 9:51

Step-by-step explanation:

(a) The rate of change of the potential at point P(2, 6, 4) in the direction of the vector v =  i + j - k is 8/3; (b) the direction in which the electrical potential changes most rapidly at point P is in the direction of the gradient vector ∇V, which is parallel to the vector (20, 0, 12) and (c) the maximum rate of change at point P is √544.

(a) To find the rate of change of the electrical potential at point P(2, 6, 4) in the direction of the vector v = i + j - k, we need to compute the dot product between the gradient of the potential and the unit vector in the direction of v.
The gradient of the potential is given by the partial derivatives of V with respect to each coordinate:

\(\nabla V = \frac{\partial V}{\partial x} \mathbf{i} + \frac{\partial V}{\partial y} \mathbf{j} + \frac{\partial V}{\partial z} \mathbf{k}\)
Calculating the partial derivatives:
\(\frac{\partial V}{\partial x} = 10x - 2y + yz\\\frac{\partial V}{\partial y} = -2x + xz\\\frac{\partial V}{\partial z} = xy\)

Evaluating the gradient at point P(2, 6, 4):
\(\nabla V = (10(2) - 2(6) + (6)(4))\mathbf{i} + (-2(2) + (2)(4))\mathbf{j} + (2)(6)\mathbf{k}\\= 20\mathbf{i} + 0\mathbf{j} + 12\mathbf{k}\)
To find the rate of change of the potential at point P in the direction of the vector v, we take the dot product of the gradient and the unit vector in the direction of v. The unit vector in the direction of v is v/|v|, where |v| is the magnitude of v. In this case,

\(|v| = \sqrt{1^2 + 1^2 + (-1)^2} = \sqrt{3}\)

      \(\nabla V \cdot \left(\frac{v}{|v|}\right) = (20\mathbf{i} + 0\mathbf{j} + 12\mathbf{k}) \cdot \left[\left(\frac{1}{\sqrt{3}}\right)\mathbf{i} + \left(\frac{1}{\sqrt{3}}\right)\mathbf{j} + \left(-\frac{1}{\sqrt{3}}\right)\mathbf{k}\right]\)

Therefore, the rate of change of the potential at point P(2, 6, 4) in the direction of the vector v = i + j - k is 8/3.

(b) To determine the direction in which the electrical potential changes most rapidly at point P(2, 6, 4), we need to find the direction of the gradient vector ∇V. Using the calculated values of the partial derivatives at point P, the gradient at P is ∇V = 20i + 0j + 12k.
Thus, the direction in which the electrical potential changes most rapidly at point P is in the direction of the gradient vector ∇V, which is parallel to the vector (20, 0, 12).

(c) The maximum rate of change of the electrical potential at point P(2, 6, 4) can be found by calculating the magnitude of the gradient vector ∇V. The magnitude of ∇V is given by:

\(|\nabla V| = \sqrt{(20)^2 + (0)^2 + (12)^2} \\= \sqrt{400 + 144} \\= \sqrt{544}\)
Therefore, the maximum rate of change of the electrical potential at point P is √544.

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Answer:

The answer is 0.15

Step-by-step explanation:

3 × 5 × (0.1) × (0.1)

15 × (0.01) = 0.15

Thus, The answer is 0.15

-TheUnknownScientist 72

Answer: 0.15

Step-by-step explanation:

(3 x 5) x (0.1 x 0.1)

=(15) x (0.01)

Thus, =0.15

Answer:

all real numbers

Step-by-step explanation:

f(x) = (x + 1)^2

There is no restriction on x, so the domain is:

all real numbers

Answer:

$40

Step-by-step explanation:

Ramon has $80 saved

half of it came from mowing yard

therefore 80/2 = 40

the rest from raking leaves

80-40=40

Answer:

3xy

Step-by-step explanation:

simpled out to

xy+2y/3x

common factor 3xy

3x^2y^2/3xy + 2y^2/3xy

Answer:

LCM = 3xy

Step-by-step explanation:

                         3 | 3xy , 3y

                         x  | xy , y

                         y   | y , y

                                1 , 1

\(LCM = 3 \times x \times y = 3xy\)

Solving :

\(\frac{3}{3xy} + \frac{2y}{3x}\\\\\frac{3}{3xy} + \frac{2y \times x}{3y \times x} \ \ \ \ \ \ [ \ multiply \ and \ divide \ 2nd \ term \ by\ x \ to \ make\ the\ denominators \ same \ ]\\\\\frac{3}{3xy} + \frac{2xy}{3xy}\\\\\frac{3+2xy}{3xy}\)

Answer:

108°

Step-by-step explanation:

ANSWER

EXPLANATION

The surface area of a cone is given as:

where r = radius; l = slant height

From the question:

Therefore, the surface area of the cone, in terms of pi, is:

After considering the given data we conclude that the correct answer which is the correct option is b which is 3/28, regarding the conditional probability.

We are given that an urn contains 3 green balls and 5 red balls. Let Rᵢ be the event that the i-th ball without replacement is red. We need to find \(P(R_3| R_2 \cap R_1).\)
Using the conditional probability formula, we have:
\(P(R_3| R_2\cap R_1) = P(R_3 \cap R_2 \cap R_1) / P(R_2 \cap R_1)\)
Since we are drawing balls without replacement, the probability of drawing a red ball on the first draw is 5/8. The probability of drawing a red ball on the second draw given that the first ball was red is 4/7. Similarly, the probability of drawing a red ball on the third draw given that the first two balls were red is 3/6 = 1/2. Therefore, we have:
\(P(R_3 \cap R_2 \cap R_1) = (5/8) * (4/7) * (1/2) = 5/56\)
To find P(R₂ ∩ R₁), we can use the law of total probability:
\(P(R_2 \cap R_1) = P(R_2 \cap R_1 | R_1) * P(R_1) + P(R_2 \cap R_1 | R_1') * P(R_1')\)
where R₁' is the complement of R₁ (i.e., the event that the first ball drawn is not red). Since we are drawing balls without replacement, the probability of drawing a red ball on the second draw given that the first ball was not red is 5/7. Therefore, we have:
\(P(R_2 \cap R_1) = (5/8) * (5/7) + (3/8) * (3/7) = 29/56\)
Substituting these values into the conditional probability formula, we get:
\(P(R_3| R_2 \cap R_1) = (5/56) / (29/56) = 5/29\)
Therefore, the answer is (b) 3/28.
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The complete question is
An urn contains 3 green balls and 5 red balls. Let R, be the event the i-th ball without replacement is red. Find P(R3| R2 \cap R₁).
a) 1/56
b) 3/28
c) 1/2
d) 5/8