there are 20 questions and i got 65 percent how many did i get wrong

Answer:

8.5 hrs * 5 day work week = 42.5 hrs. But usually 0.5 hr per day is considered lunch and is usually not payed so theoretically the workweek is only 40 hrs per week (full time)

Step-by-step explanation:

Therefore , the inverse function to y=f(x)= 8-9x/5-4x is 8-5x /-4x+9 .

In mathematics, a function from a set X to a set Y assigns each item in X exactly one element in the other set. The sets X and Y represent the function's domain and codomain, respectively.

Here,

Given :

function :8-9x/5-4x

To find the inverse ,

Inverse of 8-9x. 8-5x 5 4x -4x+9

Steps Function Inverse definition A function g is the inverse of function F if for y=√(x), x=g(v)

y= 8-9x 5-4x

Replace x with y

x = 8-9y/ 5-4y

Solve for y,

x = 8-97/ 5-4y

=>8-5x /-4x+9

Therefore , the inverse  function to y=f(x)= 8-9x/5-4x is 8-5x /-4x+9 .

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Answer:

Step-by-step explanation:

The first two questions are answered here

Use the equation for exterior angle

Exterior angle  = sum of non-adjacent interior angles

Answer:

x = 26° degrees the work bellow is correct i double checked it :)

Step-by-step explanation:

The statements which are true are that the radius of the circle is 3 units, the center of the circle lies on the x-axis and the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

What is a circle?

A circle is formed by all points in a plane that are at a particular distance from the center. To put it another way, it is the curve that a moving point in a plane draws to maintain a constant distance from another point.

We are given a circle whose equation is \(x^{2}\) + \(y^{2}\) - 2x - 8 = 0.

We know that the general form of a circle is  \(x^{2}\) + \(y^{2}\) + 2gx + 2fy + C = 0, where (-g, -f) is the center and √\(g^{2}\) + \(f^{2}\) - C is the radius.

So, in the equation, g is -1 and f is 0.

So, the center is (1, 0) which represents that the center lies on the x - axis.

Now,

⇒ Radius = √\(g^{2}\) + \(f^{2}\) - C

⇒ Radius = √1 + 0 - (-8)

⇒ Radius = √1 + 8

⇒ Radius = √9

⇒ Radius = 3 units

So, the radius of the circle is 3 units.

Now, radius of circle x² + y² = 9 is

\(r^{2}\) = 9

r = 3

So, the  radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Hence, the required solution has been obtained.

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The complete question has been attached below.

Answer:

60m²

Step-by-step explanation:

Area of the trapezoid attached = 1/2(a+b)*h

a and b are the opposite sides

h is the height

Given

a = 18m

b = 12m

h = 4m

Substitute

Area of the trapezoid = 1/2(18+12)*4

Area of the trapezoid = 1/2 * 30 * 4

Area of the trapezoid  = 120/2

Area of the trapezoid  = 60m²

Hence the area of the lawn is 60m²

Answer:

I believe it is 3

Step-by-step explanation:

That is the only number variable while the others are letter variables

Answer:

constant is - 19

Step-by-step explanation:

the constant is the term in an expression with no variable attached to it.

12r + \(\frac{r}{2}\) - 19

the only term without the variable r attached to it is - 19

then the constant term is - 19

Answer:

a)after 1,000 years?

1 meter

b) 10 million years?

10,000 meters

c) 50 million years?

50,000 meters

Step-by-step explanation:

We are told in the question that mountains rise 1 mm per year.

a) After 1000 years

1 year = 1 mm

1000 years =

Cross Multiply

1000 × 1 mm

= 1000mm

Converting to meters

1 mm = 0.001 m

1000 mm =

1000 × 0.001m

= 1 meter

b) After 10 million (10,000,000) years

1 year = 1 mm

10000000years =

Cross Multiply

10000000 × 1 mm

= 10,000,000mm

Converting to meters

1 mm = 0.001 m

10,000,000mm =

10,000,000 × 0.001m

= 10,000 meters

c) After 50 million years(50,000,000)

After 50,000,000 years

1 year = 1 mm

50,000,000years =

Cross Multiply

50,000,000 × 1 mm

= 50,000,000mm

Converting to meters

1 mm = 0.001 m

50,000,000mm =

50,000,000 × 0.001m

= 50,000 meters

Answer:

40 degrees

Step-by-step explanation:

The angles of a triangle add together to 180 degrees, so you need to add the two numbers and subtract 180 from the answer you got:

60 + 80 = 140

180 - 140 = 40

Answer:

Step-by-step explanation:

2x²+5√3 x+6 = 0​

Comparing this with quadratic equation ax^2+bx+c=0

So a=2,b=5√3,c=6

Discriminant D=b^2-4ac

D=(5√3)^2-4.2.6

= 75-48

=27.

27 >0

Hence the roots are real roots

X=(-b+√D)/2a, Y=(-b-√D)/2a

X=(-5√3+√27)/2×2, Y=(-5√3-√27)/2×2

X=(-5√3+3√3)/4,. Y=(-5√3-3√3) /4

X=-2√3/4,. Y=-8√3/4

X=-√3/2, Y =-2√3

So roots are X=-√3/2,Y=-2√3

Answer:

$886.47

Step-by-step explanation:

Answer:

9 squares

Step-by-step explanation:

Anne bought a piece of ribbon = 7 over 9 m long = 63 m²

she used = 3 over 18 m = 54 m²

left = 9 m²

maximum number of squares she could form of 1 m = 9

Answer:

  his path

Step-by-step explanation:

In order to determine the total distance driven from one place to another, you need to know the path taken.

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

The scale factor and the value of x for each figure is given as follows:

A) Scale factor of 1/3, x = 7 m.

B) Scale factor 0.4747, x = 4.5 in.

For Figure A, we have that the ratio between the areas is given as follows:

510/4590 = 1/9.

As the area is measured in square units, while the side lengths are measured in units, the scale factor is the square root of 1/9, hence it is given as follows:

1/3.

Then the value of x is obtained as follows:

x = 21 x 1/3

x = 7 m.

For Figure B, we have that the ratio between the areas is given as follows:

16/71 = 0.22535.

The scale factor is then the square root of 0.22535, which is given as follows:

0.4747.

Then the value of x is given as follows:

x = 9.5 x 0.4747

x = 4.5 in.

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The probability that the student will get both answers wrong is 0.64

Probability is a measure of the liability or chance of an event being. It's a numerical value between 0 and 1, where 0 represents an insolvable event and 1  represents a certain event.

The chances that the student will get both of the answers wrong is:

(4/5) * (4/5) = 16/25 or 0.64

For each question, the student has a 4/5 chance of getting the answer wrong (since there are 5 possible answers and only 1 is correct). Since the student doesn't know the answer to 2 questions, the probability of getting both answers wrong is the product of the probabilities of getting each question wrong, which is (4/5) * (4/5) = 16/25 or 0.64.

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∛(x+4) is a translation of ∛x, 4 units to the left

∛(x+4) + 5 is a translation of ∛(x+4), 5 units up

The Earth is a complex system that involves many inputs and outputs, which are constantly interacting with each other. Here are five possible inputs and outputs of Earth as a system:

Solar Radiation: One of the primary inputs to the Earth's system is solar radiation, which drives the planet's climate and weather patterns.

Greenhouse gases: The concentrations of greenhouse gases such as carbon dioxide, methane, and water vapor in the Earth's atmosphere are important outputs that affect the planet's climate.

Water: The movement of water between the Earth's surface, atmosphere, and oceans is an important input and output of the Earth's system. Water plays a crucial role in regulating the planet's temperature and sustaining life.

Tectonic activity: The movement of the Earth's tectonic plates is an important input and output of the planet's system. Tectonic activity affects the Earth's surface features, such as mountains and volcanoes, and also plays a role in the carbon cycle.

Biodiversity: The diversity of life on Earth is an important output of the planet's system. Biodiversity affects many processes on Earth, including nutrient cycling, soil formation, and the regulation of the atmosphere. In turn, many human activities, such as deforestation and habitat destruction, can have negative impacts on biodiversity and the Earth's system as a whole.

In the Earth system, inputs can include solar energy, gravitational forces, cosmic rays, meteorites, and interplanetary gases, while outputs can include reflected heat and light, radiation energy, loss of gases, man-made space objects, and radio waves.

The Earth system is a complex network of components and processes. Five possible inputs and outputs would involve the earth's interaction with the sun's energy and other space factors.

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Given: A regular pentagonal prism with base edge 8cm and height 20 cm .

Find: wrap need to cover the box.

Explanation: for to find the length of wrap we need to find the area of regular pentagonal prism .

where a=base edge=8cm and h =height=20 cm

Final answer: the required answer is 1020 square centimeter.

Answer:

C. 1,020 \(cm^{2}\)

Hope this helps!

Step-by-step explanation:

Introducing numeracy to young children can be done through various types of equipment and resources that engage their senses and make learning math concepts more interactive and enjoyable.

Here are some different types of equipment commonly used to introduce numeracy to young children:

Thus, by incorporating a variety of equipment and resources, educators and parents can create a rich learning environment that supports children's numeracy development and fosters a positive attitude towards math.

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Part A: The equation that can be used to determine the dimensions, in meters, of the field is 5500 = 2x² + 10x

Part B: width is 50 meters.

The formula for calculating the area of a rectangle is expressed with the equation;

A = lw

Such that the variables are expressed as;

We then have that;

l = 2x + 10

Substitute the values

5500 = (2x + 10)(x)

expand the bracket

5500 = 2x² + 10x

2x² + 10x - 5500

x² + 5x - 2750

x² + 55x - 50x - 2750

x(x + 55) - 50(x + 55)

x = 50 meters

Length = 2(50) + 10

Length = 100 + 10 = 110 meters

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Step-by-step explanation:

starting salary = $35,000

raise in 1 year = $2500

raise in 7 year = $17,500

salary on 7th year = $35,000 + $17,500

= $52,500

Answer:

It moves 6 to the right.

Step-by-step explanation:

21 -(-15) = 36

36+(-30)=6

The different coordinates after respective rotation are:

1) A'(2, 0)

2) A'(0, -2)

3) A'(-2, 0)

There are different methods of transformation such as:

Translation

Rotation

Dilation

Reflection

Now, the coordinate of the given point A is: A(0, 2)

1) The rule for rotation of 90 degrees clockwise is:

(x, y) →(y,-x)

Thus, we have:

A'(2, 0)

2) The rule for rotation of 180 degrees is:

(x, y) → (-x,-y)

Thus, we have:

A'(0, -2)

3) The rule for rotation of 180 degrees is:

(x, y) → (-y,x)

Thus, we have:

A'(-2, 0)

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The five number summary of the data-set in the histogram is given as follows:

Before obtaining the five number summary, we need to know the meaning of the histogram, which shows the absolute frequencies of each range, that is, the number of observations in each range that were observed.

As the observations are given in intervals, the mid-point rule is used, that is, for each interval, all the observations are considered to be the mid-point of the interval.

Considering the mid-point rule and the intervals, all the observations on the histogram are given as follows:

1.5, 3.5, 4.5, 4.5, 4.5, 4.5, 5.5, 6.5, 6.5, 7.5, 8.5, 8.5, 8.5 and 10.5.

The minimum and maximum values are quite straightforward to find, which are of 1.5 and 10.5, respectively.

The median is composed by the mean of the two middle values of the data-set, due to it's even cardinality, hence:

Median = (5.5 + 6.5)/2 = 6.

The halves of the data-set are given as follows:

Then the first quartile is the median of the first half, obtained as follows:

Q1 = (4.5 + 4.5)/2 = 4.5.

(mean of the two middle elements due to the even cardinality).

The third quartile is the median of the second half, obtained as follows:

Q3 = (8.5 + 8.5)/2 = 8.5.

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Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer: 54.04yd

Step-by-step explanation:

C=2πr

d=2r

C=πd=π·17.2≈54.03539yd

These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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