I am working on algebra 2 and we are graphing logarithmic equations. How do I graph y = log↓4(3x+11)-5 ?

Answer:

450

Step-by-step explanation:

Multiply the length (30) by the width (15)

30x15=450

Answer:

C. 28 DAYS

Step-by-step explanation:

You take the total ammount of pencils and subtract the minimum stock (y intercept)

1200-500 = 700

700 divided by the slope of the equation (how many pencils a day is sold) 25

700/25 = 28

The amount it would cost to put a new floor in the closet is $76.00

From the question, we are to calculate how much it would cost to put a new floor in the closet

From the given information,

A closet in the house is 2 yards by 1 yard.

To determine how much it would cost to put a new floor in the closet,

First,

We calculate the area of the closet

Area of the closet = 2 yard × 1 yard

Area of the closet = 2 square yards

Now,

From the given information,

The flooring costs $38.00 per square yard

Thus,

The amount it would cost to put a new floor in the closet is

2 × $38.00

= $76.00

Hence,

The amount it would cost is $76.00

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Answer:

Step-by-step explanation:

We can say that 28 is 1/1
or to make the denominator same we can say its 7 / 7

So, 4/7 of 28 is 16
4 x 28 = 16
7

We can add 16 to 28 to find out the answer
Thus, 28 + 16 = 44

Therefore, 4/7 of 44 is 28

The dot product of vectors a and b is option D. 30.

To find the dot product of two vectors, you need to multiply their corresponding components and then sum the results.

Let's calculate the dot product of vectors a = <5, 2> and b = <4, 5>:

a • b = (5 x 4) + (2 x 5)

= 20 + 10

= 30

Therefore, the dot product of vectors a and b is 30.

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Answer:

\(s = y2 - y1 \div x2 - x1 \\ (8 - 3) \div (6 - 2) \\ 5 \div 4\)

5÷4=1.25

Answer:

1.25

Step-by-step explanation:

slope = y2 - y1

-----------

x2 - x1

8 - 3

‐------

6 - 2

5/4

1.25

If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.

1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.

Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.

Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.

31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6

Total deductions of Gavin includes PAYE, UIF and pension fund contribution.

Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7

Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?

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The SI units of a, b, and c are meters, meters per second and meters per second squared

In this particular equation, x = a + bt + ct², the variables are x and t, which represent the position of an object and the time it takes to reach that position, respectively. However, there are also three constants in this equation, represented by the letters a, b, and c. These constants have their own units, which we'll explore in more detail below.

Starting with a, we can see that it represents the initial position of the object at t = 0. Therefore, its unit must be meters (m), which is the same unit as x. This makes sense, as both x and a represent positions along the same axis.

Moving on to b, we see that it represents the velocity of the object at any given time. Velocity is defined as distance traveled per unit of time, so its unit must be meters per second (m/s). This makes sense, as b represents the rate at which the position of the object is changing over time.

Finally, we have c, which represents the acceleration of the object at any given time. Acceleration is defined as change in velocity per unit of time, so its unit must be meters per second squared (m/s²). This makes sense, as c represents the rate at which the velocity of the object is changing over time.

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The correct options for folded and assembled into a triangular prism are;

Option A and Option D.

What is Triangle?

A triangle is a three sided polygon, which has three vertices and three angles.

Given that;

The triangular prism figure after fold is given.

Now, The triangular prism figure is contain two triangles and three squares.

So, In option A;

There are two triangles and three squares.

And, In option D;

There are two triangles and three squares.

Thus, The correct options for folded and assembled into a triangular prism are;

Option A and Option D.

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Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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∑\((k^2)\) for k = 1 to 6 is the sum in sigma notation for this series of terms.

The series is 1 + 4 + 9 + 16 + 25 + 36. The lower limit of summation is 1, which means, the sum starts at the initial term in the series.

The index of summation is k, which implies, the ongoing term in the series is represented by the variable k.

In the expression \(k^2\)  which implies that we are adding up the square of the index of summation.

So, the sigma notation for this series of terms is ∑\((k^2)\)  for k = 1 to 6, which means, we are adding up the squares of the numbers from 1 to 6 (1, 4, 9, 16, 25, and 36)

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Answer:

4 platters

Step-by-step explanation:

Given the frequency and number of possible outcomes, the number of days that must pass before it becomes probable that Janice will have had to pick up lunch at least once is 8.

Note that the probability of any of the staff at the office picking the food is 1/8.

Even if She does not pick up lunch on her first day or second, the number of days that must pass to make sure that Janice picks up lunch AT LEAST once is 1 in 8 days.

The formula to compute the probability of an event is equivalent to the ratio of favorable outputs to the total number of outputs. It is to be noted that probabilities always range between 0 and 1.

The expression is given as:

P (E) = f/O; where

P(E) is the Probability of an event E happening;

f =  The number of possible outcomes for an event (frequency)

n = Total number of outputs that are likely

Hence,

P(E) = 1/8

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The calories burned per hour is 30 calories per hour

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

Calories at 7 = 25 calories

Calories at 9 = 85 calories

Using the above as a guide, we have the following:

Rate = Difference in calories/Difference in time

Substitute the known values in the above equation, so, we have the following representation

Rate = (85 - 25)/(9 - 7)

Evaluate

Rate = 30

Hence, the rate is 30 calories per hour

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Answer:

- 0.347
2.153

Step-by-step explanation:

Answer:

- 0.347 and 2.153

Hope this helps :)

Explanation below.

Step-by-step explanation:

The lines on top of the decimals tell that the decimal is repeating, and both - 0.347 and 2.153 have lines so they are repeating decimals.

We have shown that C is the image of A by dilation with center B and ratio 3.

Now, To show that C is the image of A by dilation with center B and ratio 3, we need to follow these steps:

Firstly, Find the vector AB by subtracting the coordinates of B from the coordinates of A:

AB = A - B = (6 - 3, 4 - 7) = (3, -3)

Multiply the vector AB by the dilation ratio of 3:

3 AB = 3 (3, -3)  = (9, -9)

Add the resulting vector to the coordinates of the center B:

BC = B + 3 AB = (3, 7) + (9, -9)

BC = (12, -2)

Hence, Compare the resulting point BC to the coordinates of C to show that they are the same:

BC = (12, -2) = C

Therefore, we have shown that C is the image of A by dilation with center B and ratio 3.

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Answer:

m∠ LHJ = 90 °

Step-by-step explanation:

We are given this image with AD ║ GJ, and two transversal - KF, EL. In this case it would be more appropriate to take a look at the transversal EL. Now EL is an unusual transversal as it form right angles with the parallel lines ( m∠ ABE = 90 ° ). Nevertheless, it still follows certain rules that correspond to parallel lines with a transversal;

Same Side Interior / Exterior Angles Supplementary,

Alternate Interior / Exterior Angles ≅,

Corresponding Angles ≅

If you apply all these rules, you would find that all 8 angles formed through the parallel lines AD and GJ, EL are 90 degree angles;

Solution ⇒ m∠ LHJ = 90 °

Hello!

The distance, d, is less than 200 miles.

B. d > 200

Working with the given percentages, we will get:

Here we need to work with percentages.

Let's say that X is last year's attendance. We know that 270 is the 125% of last year's attendance, then we will have the relation:

X*(125%/100%) = 270

X*1.25 = 270

X = 270/1.25 = 216

This means that last year's attendance was of 216 people.

The 25% of that is:

216*(25%/100%) = 216*(0.25) = 54

then we can complete the 3 blanks as:

125% of last year's attendance = 270

25% of last year's attendance = 54

100% of last year's attendance = 216

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The maximum volume of the cylinder is approximately 1257 cubic centimeters.

The volume V of a right circular cylinder with radius r and height h is given by:

V = πr²h

Substituting the given expressions for the radius and height of the cylinder, we get:

V = πx²(800/πx - x)

Simplifying the expression, we get:

V = 800x - πx³

To find the maximum value of V, we need to find the value of x that maximizes V. We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:

dV/dx = 800 - 3πx² = 0

3πx² = 800

x² = 800/3π

x ≈ 6.43

Substituting this value of x back into the expression for V, we get:

V ≈ 1257

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Answer:

25 pages

Step-by-step explanation:

We know that Zakarya can read 5 pages in 8 minutes. First we divided 40 by 8, to see how many times of 8 she reads. She reads for 8 five times (40 minutes). We can multiply 5 (number of 8 minutes she reads) times 5 (pages she reads every 8 minutes) to get 25. She reads 25 pages in 40 minutes. Please tell me if this is wrong or makes no sense :).    

Answer:

if you're talking about slope intercept then

y= 8/5x + 11/5

Answer:

Intercept on y-axis is

\(b=\frac{11}{5}\)

Step-by-step explanation:

Equation of line in slope intercept form is given as

\(y=mx+b\) ------(1)

where m is slope and b is y-intercept

Re-arranging g 8x-5y=-11 yields

\(y=\frac{8}{5} x + \frac{11}{5}\)----------(2)

Comparing equation (1) and equation (2)

\(b=\frac{11}{5}\)

Answer:

jujjjjjjjjjjjjjjjjjjjjjjj

i hope it helps please mark me as brainliest please

The measure of m∠VSR if the horizontal line has points R, S, U and intersects a line with points V, S, T at point S is 80degrees

The point where two lines intersect is known as an angle.

Find the diagram to the question attached below.

From the diagram shown, we can see that the angle m∠VSR and m∠VSU lie on the line RSU which shows that the sum of these angles is supplementary. Hence:

m∠VSU + ∠VSR = 180

Given that m∠VSU = 100 degrees

∠VSR = 180 - ∠VSU

∠VSR = 180 - 100

∠VSR = 80degrees

Hence the measure of m∠VSR if the horizontal line has points R, S, U and intersects a line with points V, S, T at point S is 80degrees

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Answer: 80°

Step-by-step explanation: Trust me bro                                                                              

Answer:

Rs 40950

Step-by-step explanation:

P = Rs. 130000

R = 21% per annum

T = 1 year + 6 months / 12

= 12 months + 6 months / 12

= 18 / 12

= 1.5 years

SI = (P × T × R) / 100

= (130000 × 1.5 × 21) / 100

= 4095000 / 100

= 40950

Answer: the answer is

8 (2a + 3b)

Answer: The following diagram illustrates the problem clearly:

Using trigonometric ratios, the following equations can be constructed:

Simplifying equation (1) gives the following answer:

Therefore the answer is the second option.