Mark needed to buy some items for a science project. The items were priced $3.25, $0.55, $2.95, and $4.25 before tax. If everything in the store was on sale for 20% off, what was the total cost of the items he bought, before tax?

Answer:

4

Step-by-step explanation:

\(\frac{-3}{4}\) m - \(\frac{1}{2}\) = 2 + \(\frac{1}{4}\) m  Multiply each term by 4

-3m - 2 = 8 + m  Add 3m to both side

-2 =  8 + 4m  Subtract 8 from both sides

-10 = 4m  Divide both sides by 4

\(\frac{-5}{2}\) = m

Answer:

1- Product of powers rule.

2- Quotient of powers rule.

3- Power of a power rule.

4- Power of a product rule.

5- Power of a quotient rule.

6- Zero power rule.

7- Negative exponent rule.

Step-by-step explanation:

Hope I helped! ^v^

Answer: 5 , 5, 2, $40, $10

Step-by-step explanation:

He gets paid $10 a week minus the $2 he donates so he will have $8 times five weeks left for a total of $40

The most common error when entering a formula is to reference the wrong cell in the formula.

This error occurs when the cell references within a formula do not match the intended cells. It can lead to incorrect calculations and produce unexpected results. For example, if a formula is supposed to use data from cell A1 but mistakenly refers to cell B1, the calculation will be based on the wrong data. It is important to double-check and ensure that the cell references in a formula accurately reflect the intended data sources to avoid this common mistake.

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Answer: I think If a cube has an edge length of 1 cm, and it is divided into 5 cm cubes, there will be 1 x 1 x 1= 1 cm  cube.

the line that is parallel to

y=x

is

y=x-6

it is the blue line in the graph

Answer:

150%

Step-by-step explanation:

600,000/400,000 = 1.5 So a percentage change of 150%

Answer:

50%

Step-by-step explanation:

Answer:

Radius is 50 cm.

Step-by-step explanation:

Answer:

x^2 + 9x - 8

Step-by-step explanation:

(g - f)(x) means g(x) minus f(x)

Since

f(x) = −x2 − 8x + 7 and g(x) = x − 1

then we subtract g(x)–f(x)

x – 1 - (-x^2- 8x +7)

When we take off the parenthesis the minus in front of the parenthesis has to be distributed to all three terms inside.

x - 1 + x^2 + 8x -

Combine like terms. The x and 8x can be added and the -1 and -7 can be combined.

9x + x^2-8

Rearrange because usually the highest exponent goes first, then regular x and plain number last (constant)

x^2 + 9x- 8

Answer:

Raymond's mistake was on the last step, since he didn't square root both sides

The correct answer should be

\(c = \sqrt{41}\)

Step-by-step explanation:

\(a^2 + b^2 = c^2\\4^2 + 5^2 = c^2\\16 + 25 = c^2\\c^2 = 41\\c = \sqrt{41}\)

Good luck!

Probability that a randomly selected muffin will be a banana nut muffin will be 25/49 .

Given, Data of different types of muffins.

Now, calculate the probability of choosing banana nut muffin.

Probability = Successful events/ Total events

Blackberry muffins = 10

Banana nut muffins = 25

Chocolate chip muffins blueberry muffins = 11

Pumpkin spice muffins = 3

Total muffins = 49

Probability (banana nut muffin) = 25/49

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The number of periods is approximately 26.98.

To calculate the number of periods it takes to double your money at 5.25 percent interest, you can use the formula for compound interest:

Future value = Present value * (1 + interest rate) ^ number of periods

In this case, the future value is twice the present value, so the equation becomes:

2 = 1 * (1 + 0.0525) ^ number of periods

To solve for the number of periods, you can take the logarithm of both sides:

log(2) = log((1 + 0.0525) ^ number of periods)

Using the logarithmic properties, you can bring the exponent down:

log(2) = number of periods * log(1 + 0.0525)

Finally, you can solve for the number of periods:

number of periods = log(2) / log(1 + 0.0525)

Using a calculator, the number of periods is approximately 13.27.

To calculate the number of periods it takes to quadruple your money at 5.25 percent interest, you can follow the same steps as above, but change the future value to four times the present value:

4 = 1 * (1 + 0.0525) ^ number of periods

Solving for the number of periods using logarithms:

number of periods = log(4) / log(1 + 0.0525)

Using a calculator, the number of periods is approximately 26.98.

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An engineer is designing a fuel tank in the shape of a cylinder, the approximate radius of the cylinder is 8.2 inches.

Volume:

V = πr²h

Height:

h = 2r

V = πr²h

V= πr²(2r)

V= 2πr³

And we know that the volume must be 3,500 in³, now we can replace that and solve for R, we will get:

V= πr²h

3500 = 3.14 x 2 x (r)³

r = 8.2 inch

The cylinder's approximate radius must be 8.2 inches.

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterised as an infinitely curved surface.

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Answer:

n/4-9 +3

Step-by-step explanation:

to answer this question we have to analyze the information given.

The quotient of a number means the result of the division of 2 numbers.

In this case the numbers are: a number (n) and 4 . n/4

Nine less than that quotient means we have to subtract 9 to the quotient.

n/4-9

Increase by three: we simply have to add 3

n/4-9 +3

Feel free to ask for more if needed or if you did not understand something.

The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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Answer:

Step-by-step explanation:

An acute angle is an angle that measures less than 90 degrees. When two acute angles are added together, their sum is less than 180 degrees. Therefore, it is possible to add two acute angles together to form a right angle, which measures exactly 90 degrees.

There are many ways to draw two acute angles that make a right angle. One possible way is to draw a line segment, and then draw two line segments that form acute angles with the first line segment. The acute angles should add up to exactly 90 degrees. Another way is to draw two intersecting lines, and then draw acute angles in the corners formed by the intersection. Again, the acute angles should add up to exactly 90 degrees.

what is  line segments?

A line segment is a part of a line that consists of two endpoints and all the points between them. A line segment can be measured in terms of length, and its length can be represented by a number. In geometry, a line segment is often denoted by drawing a line over the two endpoints and labeling it with a line segment symbol.

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Answer:

Tienes que dividir las fracciones en el dibujo por las fracciones de los números y luego obtendrás las respuestas correctas.

Answer:

its in there

Step-by-step explanation:

Answer: Solve the Inequality for h

Solve for h

Graph

Convert to Interval Notation

Evaluate

Write in y=mx+b Form

Find the Exact Value

Solve the Absolute Value Inequality for h

Convert to Set Notation

Plot

Write in Slope-Intercept Form

Solve the Rational Equation for h

Simplify

Add

Solve by Factoring

Describe the Transformation

Evaluate the Summation

Find the Absolute Max and Min over the Interval

Find the Product

Convert from Degrees to Radians

Convert to a Decimal

Subtract

Find the Slope

Find the Domain and Range

Find the Derivative - d/dh

Solve Using the Square Root Property

Find the Direction Angle of the Vector

Multiply

Find the Function Rule

Convert to a Simplified Fraction

Find the Area Between the Curves

Solve the Function Operation

Solve the System of Inequalities

Solve for h in Degrees

Find Where Increasing/Decreasing

Find the Maximum/Minimum Value

Write with Rational (Fractional) Exponents

Evaluate the Limit

Find the Slope and y-intercept

Solve by Isolating the Absolute Value for h

Find All Complex Solutions

Factor over the Complex Numbers

Find the Intersection

Find the Center and Radius

Convert to Radical Form

Find the Integral

Evaluate Using Summation Formulas

Evaluate Using Scientific Notation

Simplify/Condense

Determine if Linear

Graph Using a Table of Values

Reduce

Rationalize the Denominator

Find the Union

Find the Critical Points

Solve for h in Radians

Find the x and y Intercepts

Find the Inverse

Find the Perpendicular Line

Convert from Interval to Inequality

Solve by Completing the Square

Simplify the Matrix

Maximize the Equation given the Constraints

Convert to Regular Notation

Determine if the Relation is a Function

Write in Standard Form

Convert to Trigonometric Form

Split Using Partial Fraction Decomposition

Find the Zeros by Completing the Square

Find the Prime Factorization

Find the Local Maxima and Minima

Find the Quotient

Multiply the Matrices

Factor

Answer:

Step-by-step explanation:

a is the base

b is the power

c is the root

a = 7

b = 9

c = 4

Answer:

4x6 _3

Step-by-step explanation:

24-3 =21 So this is the answer

I hope this will work for u

The value of b from the given function is 9/4.

The given function is g(x) = 4x–3.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Replace x by b in the given function is

g(b)=4b-3

⇒ 6=4b-3

⇒ 4b=9

⇒ b=9/4

Hence, the value of b from the given function is 9/4.

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Answer:

1.5 cm

Step-by-step explanation:

Triangles WTY and UTV are similar. Segment WT corresponds to UT and segment YT corresponds to VT. Thus we can create an equation knowing that the ratio of WT to UT must equal to the ratio of YT to VT.

WT = 7.5 cm

UT = ?

YT = 15 cm

VT = 12 cm

WT / UT = YT / VT

7.5 / UT = 15 / 12

UT = 6

WT = WU + UT

7.5 = WU + 6

WU = 1.5

The probability of spending more than 7 days in recovery is approximately 0.159.

To find the probability of spending more than 7 days in recovery, we'll use the Z-score formula:
1. Calculate the Z-score:
Z = (X - μ) / σ
Where X is the recovery time, μ is the mean recovery time, and σ is the standard deviation.
2. Plug in the values:
Z = (7 - 5) / 2 = 1
3. Use a Z-table to find the probability associated with the Z-score of 1. A Z-table will give you the area to the left of the Z-score (i.e., the probability of recovery time being less than or equal to 7 days).
4. From the Z-table, we find that the probability associated with a Z-score of 1 is approximately 0.841.
5. Since we want the probability of spending more than 7 days in recovery (i.e., to the right of the Z-score), we need to find the complement of the probability we just found:
P(X > 7) = 1 - P(X ≤ 7) = 1 - 0.841 = 0.159
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Answer:

if you mean 54% of 150, then it is 81

Answer:

36% of 150

Step-by-step explanation:

Divide 54/150 to get .36 which is just 36%

Answer:

72

Step-by-step explanation:

No answer choices

Answer:

133, 79, 148 are ALL possible, so select 133 and 79

Step-by-step explanation:

Subtract 47 and 32 from 180 to find the third angle of the triangle (it is 101).

Then do 180-101 = 79

180-32=148

180-47=133

That tells you the exterior angle of each. Only two possible choices on your list.

The correct option is C. 35x² - 81x + 40.

To find the product of two functions, denoted as f(x) * g(x), you need to multiply the expressions for f(x) and g(x). Let's find f(x) * g(x) using the given functions:

f(x) = 5x - 8

g(x) = 7x - 5

To find f(x) * g(x), multiply the expressions:

f(x) * g(x) = (5x - 8) * (7x - 5)

Using the distributive property, expand the expression:

f(x) * g(x) = 5x * 7x - 5x * 5 - 8 * 7x + 8 * 5

Simplifying further:

f(x) * g(x) = 35x² - 25x - 56x + 40

Combining like terms:

f(x) * g(x) = 35x² - 81x + 40

Therefore, f(x) * g(x) = 35x² - 81x + 40.

The correct option is C. 35x² - 81x + 40.

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Answer:

b=-12.5

Step-by-step explanation:

\( - 9 - b = 3.5 \\ - b = 3.5 + 9 \\ - b = 12.5 \\ b = - 12.5\)