In a word game, 1 letter is worth 1 point. This dot plot shows the scores for 20 common words. What is the first quartile (Q1)?

Answer:

105

Step-by-step explanation:

Supplementary angles are two angles that add up 180 degrees.

if one is 75, then the other would be 105

hope this helps :)

(i made a mistake so i edited it, thanks for the reminder in the comments)

Answer:

105 degrees

Step-by-step explanation:

Supplementary Angles are angles whose measurements equal 180 degrees

To find the supplement subtract this known measurement angle A

180 - 75 = 105 degrees

The amount luke made more than alexa is $3.91 .

What is simple interest ?

simple interest can be defined as the ratio of product of principal amount , rate and time and 100.

Luke investment,

This is compound interest so the future value formula will be used:

= Amount * ( 1 + rate) ^ no. of years

= 4,000 * ( 1 + 1.8%)³

= $4,219.91

Alexa investment:

Simple interest is calculated with the formula:

= Amount * ( 1 + rate * time)

= 4,000 * ( 1 + 1.8% * 3)

= $4,216

Amount Luke made more than Alexa:

= 4,219.91 - 4,216

= $3.91

Hence , The amount luke made more than alexa is $3.91 .

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Answer:

y = 2x - 1

Step-by-step explanation:

Point 1: (0, -1); Point 2: (1, 1)

           (x₁, y₁)              (x₂, y₂)

y₂ - y₁      1 - (-1)       1 + 1       2

---------- = --------- = -------- = ------ = 2

x₂ - x₁      1 - 0           1          1

y - y₁ = m(x - x₁)

y - (-1) = 2(x - 0)

y + 1 = 2x - 0

   -1          -1

-----------------------

y = 2x - 1

I hope this helps!

Answer:

1). 0.625

2). 0.5

3). 0.6

4). 1.75

5). 0.6666 (repeating decimal)

hope this helped!

Answer:

[tex]v=48 cm^3[/tex]

Step-by-step explanation:

→ [tex]v=(l)(w)(h)[/tex]

→ [tex]v=(4)(2)(6)[/tex]

→ [tex]v=48 cm^3[/tex]

[tex]-------------[/tex]

hope it helps...

have a great day!!

Answer:

-5.026

Step-by-step explanation:

-9.23 + 4.204

= -5.026

Therefore, one mole of any substance is equal to its molar mass in grams.

Mass per mole is a definition of molar mass. In other terms, molar mass is the total mass of all the atoms in a material that makes up a mole. It is measured in gram-per-mole units.

A chemical element is uniquely defined by its atoms, which are tiny pieces of substance. An atom is made up of a core nucleus and one or more negatively charged electrons that orbit it. The positively charged, comparatively hefty protons and neutrons that make up the nucleus may be present.

The molar mass of a substance is the mass of one mole of that substance and is usually expressed in grams per mole (g/mol).

For example, the molar mass of carbon is 12.01 g/mol, so one mole of carbon weighs 12.01 grams.

Therefore, one mole of any substance equals its molar mass in grams.

It is essential to mention that the molar mass is the weight of one mole of a substance and is determined by the atomic or molecular weight of the substance.

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Answer:

39.25 cm

Step-by-step explanation:

A=[tex]\pi r^{2}[/tex]

 =[tex]\pi 5^{2}[/tex]

 =78.5

[tex]\frac{78.5}{2}[/tex] = 39.25

Answer:

The zeros are {-2, 3}

Step-by-step explanation:

Set each of these factors equal to zero, in turn, set each factor = to 0 and solve the resulting equation for x:

x + 2 = 0 yields x = -2;

x - 3 = 0 yields x = 3

The zeros are {-2, 3}

The x-intercept will be  -2.

Now, According to the question:

How do you find the x-intercept?

To find the x-intercept we set y = 0 and solve the equation for x. This is because when y=0 the line crosses the x-axis. When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable. To find y-intercept: set x = 0 and solve for y.

Here the equation is 2x-y = -4.

For finding the x-intercept

let us put the value of y as 0 we get,

2x−0=−4

⇒2x=−4 .

Dividing both sides by 2 we get,

2x2=−4/2⇒x=−2 .

Therefore, the x-intercept is -2.

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7 students failed the examination out of 28 students who appeared for the examination.

What is the Proportion?

A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls)

When we say that a proportion is two ratios that are equal to each other, it means this in the sense of two fractions being equal to each other.

For instance, 5/10 equals 1/2.

If 3/4 of the students passed the exam, this means that 1 - 3/4 = 1/4 of the students failed the exam.

We can use this information to find the number of students who failed the exam by multiplying the total number of students who appeared for the exam by the proportion of students who failed:

Number of students who failed = Total number of students * Proportion of students who failed

Number of students who failed = 28 students * 1/4 = 28 students * 0.25 = 7 students

Hence, 7 students failed the examination out of 28 students who appeared for the examination.

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Answer:

D. 29°

Step-by-step explanation:

Triangle ACB is an isosceles triangle so the two base angles are the same(61° and 61°). A triangle's angles must add up to 180, so take 180-61-61.

180-61-61 = 58

Divide by 2 to find angle ACB:

58/2 = 29

Answer:

Option D; 29°

Step-by-step explanation:

ΔAOB is isosceles triangle: so ∠B = ∠A, ∠A = 61, therefore:

∠O = 180 - (61 + 61)

∠O = 58

and ∠C = 58 / 2

∠C = 29

Hope this helps!

Answer:

24 pounds

Step-by-step explanation:

48 quarts of raisins divided by 6 is equal to 8.

So 3 pounds of cookie dough times 8 = 24.

24 pounds of cookie dough.

Answer:

8

Step-by-step explanation:

Answer:

A regular octagon has eight sides.

Step-by-step explanation:

Octagon = Octa + gon where octa means eight and gon means sides.

Answer:

66

Step-by-step explanation:

7(12)+3(-6)

84-18=66

Answer:66

Step-by-step explanation:

X = 12

Y = -6

(7*12)+(3*-6)

84-18=66

Answer:

0

Step-by-step explanation:

The answer is 0 because 1/3 cancel out the negative 1/3

Answer:

it must be less than 90 degrees

The appropriate scale for a drawing are-

The appropriate scale for a drawing that fits on a regular sheet of paper

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The correct question is attached-

Answer: x =(3-√157)/2=-4.765

x =(3+√157)/2= 7.765

Step-by-step explanation:

Answer:

$0.62

Step-by-step explanation:

1.24/2=0.62

1 gallon- 4 pint

0.5 gallon- 2 pint

Log₁₀ is an expression used to represent logarithmic functions with a base of 10. To write log₁₀ in Microsoft Word, you can use the “Insert Equation” feature.

To access this, select Insert on the top menu bar, followed by Equation. In the new window that appears, select the Greek and Math Symbols tab. In this tab you will find the log₁₀ symbol that looks like an upside-down “y”. You can then click on the symbol and it will be added to your document.

If you need to type out the equation, you can type “log₁₀” and it will automatically be converted to the log₁₀ symbol.  You can also use the shortcut CTRL+Alt+L to insert the log₁₀ symbol directly into your document.

If you are using a Mac, you can use the shortcut Command+Shift+L.  The log₁₀ symbol is commonly used in mathematics and science, particularly in algebra and calculus. It is used to represent the logarithm of a particular number to the base 10.

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The correct answer is "C" - a decrease in personal income tax is most likely to result in an increase in consumer demand.

Taxes are compulsory payments made by a government organization, whether local, regional, or federal, to people or businesses. Tax revenues are used to fund a variety of government initiatives, such as Social Security and Medicare as well as public infrastructure and services like roads and schools.

A value-added tax, often referred to as a goods and services tax in some nations, is a kind of tax that is imposed gradually. At every stage of manufacture, distribution, or sale to the final customer, it is added to the cost of a good or service.

There is an increase in consumer demand when personal income taxes are cut because people have more money that they can spend on products and services.

On the other hand, a rise in personal income taxes would reduce the amount of disposable money that consumers have, which will result in a drop in demand from consumers.

In a similar vein, a rise in company tax would result in higher business costs and lower profits, both of which would reduce consumer demand. Conversely, a drop in corporate tax would not directly influence consumer spending.

So the correct answer is C.

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By simple reasoning, The chance of Carol being selected is 1/800.

A collection of random variables, typically indexed by time, makes up a random process. Here, the process S(t) is an illustration of a continuous-time random process. In general, a random process X(t) is a continuous-time random process if t can take real values in an interval on the real line.

A straightforward random sample is being taken from a population that includes both Larry and Carol.

So both of them have an equal chance of being chosen.

Now, Larry's likelihood of being chosen is 1 in 800.

The likelihood of Carol being chosen is then 1 in 800.

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Answer:

$2581.60

Step-by-step explanation:

In order to find the amount owed after 4 years, we need to use the formula for compound interest:

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

Where:

A is the amount owed after t years

P is the principal, or initial amount borrowed

r is the interest rate

n is the number of times the interest is compounded per year

t is the number of years

Plugging in the given values, we have:

A = $2000(1 + 0.07/2)^(2*4)

= $2000(1.035)^8

= $2000(1.2908)

= $2581.60

Therefore, the amount owed after 4 years would be $2581.60.

Answer: The slope is the cost per hour (in this case $20 per hour).

=========================================================

Further Explanation:

Recall that,

[tex]\text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}[/tex]

The rise tells us how much to go up or down, depending if the rise is positive or negative. The run tells us how much to go to the right. Always move to the right.

In this problem, the change in y is the change in price. The change in x is the change in hours. Dividing the two items gives cost per hour, aka unit cost.

-----------------------

Example:

Let's pick two points from this line and use the slope formula. I'll pick (1,60) and (3,100) as they are the only two points with coordinate labels.

So,

[tex](x_1,y_1) = (1,60) \text{ and } (x_2,y_2) = (3,100)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{100 - 60}{3 - 1}\\\\m = \frac{40}{2}\\\\m = 20\\\\[/tex]

The slope is 20, or 20/1

It says that each time the number of hours x goes up by 1, the cost variable y goes up by 20.

Put simply: The hourly fee is $20 per hour.

This matches what it says in the instructions when your teacher wrote "A roofer charges $60 for the first hour and $20 per hour for each additional hour".

Answer:

8.25cm²

Step-by-step explanation:

the area of the triangle = (half x base x height )=

(1.5x3)÷2= 2.25cm²

the area of the rectangle= length x width = 3x2= 6cm²

total = 2.25+6= 8.25cm²

Answer:

m= -2 , c=3

Step-by-step explanation:

equation of a straight line is given by y= mx+c

y + 2x = 3

or, y = -2x + 3

(m) (c)

Answer:

Step-by-step explanation:

y + 2 x = 3 is almost but not quite in the slope-intercept form y = mx + b.  We need to rewrite y + 2 x = 3 in that form:

y = -2x + 3

Comparing this to y = mx + b, we get:

slope = m = -2

y-intercept = b (or c) = 3

x + 2y = 3x + 4

2y = 3x + 4 - x

y = (2x + 4)/2

y = x + 2

Answer: y=x+2

Step-by-step explanation:

you subtract x on the left on both sides then you'll have 2y=2x+4 we have to get y by itself so divide it by 2 on both side and when you do that on the right you divide both 2x and 4 by 2 thus giving y=x+2

Answer:

Part A is D 125 E and A part B is  C

Step-by-step explanation:

The formula for an isosceles triangle is A = (1/2) * b * h, where b is the base, h is the height, and A is the area.

The formula for an isosceles triangle is A = (1/2) * b * h. This formula is used to calculate the area of an isosceles triangle. To use the formula, you need to know the base, b, and the height, h, of the triangle. The base is the length of any one of the two equal sides of the isosceles triangle, and the height is the distance from the base to the opposite vertex. Once you have these measurements, you can plug them into the formula to calculate the area of the triangle. The formula multiplies the base, b, by the height, h, and then divides the product by two. This will give you the area of the triangle, A.

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