Mathematics High School


Write an explicit formula for an, the n
term of the sequence 38, 44, 50,....
Answer: an =

Answers

Answer 1

The sequence 38, 44, 50,.... is an arithmetic sequence

The explicit rule of the sequence is an = 32 + 6n

How to determine the explicit formula?

The sequence 38, 44, 50,.... is an arithmetic sequence with the following parameters:

First term, a1 = 38

Common difference, d = 6

The explicit rule is calculated as:

an = a1 + (n - 1) * d

This gives

an = 38 + (n - 1) * 6

Evaluate the product

an = 38 - 6 + 6n

This gives

an = 32 + 6n

Hence, the explicit rule of the sequence is an = 32 + 6n'

Read more about arithmetic sequence at:

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Related Questions

Find the indicated measure.

Answers

Answer:

m pq = 103°

Solving steps:

Hey there!

According to the figure,

[tex]r = s \: \: \: \: \: \: \overline{pq} = 9[/tex]

So, [tex]m\overline{pq} = \frac{180 \times \overline{pq} }{x \times r} = \frac{180 \times 9}{x \times 5} [/tex]

[tex] = 103°[/tex]

[tex]Hence, m \: \overline{pq} = 103°[/tex]

PLEASE HELP thanks!! ​

Answers

Answer:

b = 70

b = a = 70

b = c = 70

Step-by-step explanation:

snice b and 70 are opposite the top; they are equal.

b and a are alternate internal they are again equal so a is 70.

and finally a is equal with c because they are opposite at the top.

I hope I helped you! :)))

I will mark brainliest the first 2 people that answer my question first

Answers

Answer:

I believe it is 136° hope it helps

Can someone help with this one

Answers

Answer:

C mate

Step-by-step explanation:

Answer:

i believe the answer is B

Step-by-step explanation:

Choose the graph that represents the statement.

An acute angle is less than 90°.

Answers

the answer would be B less than is an open circle and to the left

An acute angle is less than 90° is shown in the second option. Hence, the second option is correct.

What is an acute angle?

Acute angles are those that are smaller than 90° and fall between 0° and 90°; they are referred to as such. For example, temperatures of 60°, 30°, 45°, and others. An acute triangle is a triangle whose all internal angles are less than 90 degrees. An equilateral triangle is called an acute triangle if its internal angles measure 60°.

There are various types of angles, most commonly they are :

Acute angleRight angle Obtuse angle

In the second option, the circle is void, which means the angle is less than 90°. As we compare this with the first option the circle is filled, which means that the angle is equal to 90° which means that it is a right angle.

So, this concludes that the second option is correct.

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#SPJ5

find the measure of angle x in the figure

Answers

Answer: Hey I don't think this is the correct answer, but I think it's 128

Step-by-step explanation: 128 is probably the answer I'm very sorry if it's not correct!

Measure of each bisected angle of 60o is ___________

Answers

Answer:

30°

Step-by-step explanation:

The bisected angle of 60° will have a measure equal to half of it, which is 30°.

A city planner wanted to place the new town library at site A. The mayor thought that it would be better at site B. What transformations were applied to the building at site A to relocate the building to site B? Did the mayor change the size or orientation of the library?

The building at site A was translated _______ unit (s)right and _______ unit(s) down, then it was reflected across the x or y (select) - axis.

The size was or was not (select) changed.
The orientation was or was not (select) changed.​

Answers

Answer:

  2 right, 4 down, y-axis

Step-by-step explanation:

Reflection across the y-axis changes the left-right orientation. Reflection across the x-axis changes the up-down orientation. Translation before the reflection can put the figure in a place so that the reflection gives its final location. Translation does not affect the orientation.

__

We observe that the north-south wall is on the west side of the building at Site A, and on the right side at Site B. That means the orientation was changed left-to-right, so reflection was across the y-axis.

If the reflection occurred last, then the position before reflection must have the northeast corner moved from (-3, 5) to (-1, 1). That is, the x-coordinate is increased by 2, and the y-coordinate was decreased by 4.

The building at site A was translated 2 units right and 4 units down; then it was reflected across the y-axis .

Calculate the shaded area

Answers

Answer:

116 cm²

Step-by-step explanation:

area shaded = total area - area not shaded

πr² is the area of a circle

total area = πr² = π*(6.5cm)² = 132.732289614 cm²

area not shaded = πr² (note the radius is 2.3cm for the non-shaded portion) = π*(2.3cm)² = 16.6190251375 cm²

area shaded = total area - area not shaded = 132.732289614 cm² - 16.6190251375 cm² = 116.113264476 cm² ≈ 116 cm²

Help. (The 25. Is the question number.)

Answers

Basically, just plug in the expressions into the formula and simplify:

[tex]A = \frac{1}{2}*(3ab)*(7a^2b+11a^2b) = \frac{3}{2}ab*(18a^2b) = 27a^3b^2[/tex]

Help me with this please and thanks​

Answers

9514 1404 393

Answer:

  89

Step-by-step explanation:

The arc intercepted by the inscribed 45° angle is twice that, 90°. The angle at x is half the sum of the intercepted arcs, so is ...

  x = (90° +88°)/2

  x = 89°

_____

Alternate solution

The inscribed angle intercepting the 88° arc will have half that measure, so is 44°. The triangle's exterior angle x will be equal to the sum of the remote interior angles:

  x = 45° +44° = 89°

Rs 7.65 + Rs 8.65please solve this for me ​

Answers

Answer:

16.30

Step-by-step explanation:

It is 16.30 because 8.65+7.65 = 16.30

20
7. Spiderman weighs 180 pounds. He can work out and gain
2 pounds a week. How many weeks, w, must he work out
until he weighs 226 pounds?
5?

Answers

Answer:

the answer is 23 take care now

Answer:

23 weeks

Step-by-step explanation:

226-180 to find out he needs to gain 46 pounds. then, we know he gains 2 pounds a week so, divide 46 by 2 to get 23.

The picture shows two sizes of shipping boxes with measurements in inches. The boxes are rectangular prisms. There are two rectangular prisms. Prism 1 has a height of 10 inches, length of 20 inches and a width of 7 inches. Prism 2 is smaller and to the right of Prism 1. Prism 2 has a height of 4 inches, length is 20 inches and width is 4 inches. Marcus shipped 1 of the larger boxes and 2 of the smaller boxes. Which equations show the total volume of the boxes Marcus shipped? Select the three equations that apply.

Answers

Using the volume of a rectangular prism, it is found that Marcus shipped 2040 in³ of the boxes.

What is the volume of a rectangular prism?

The volume of a rectangular prism of lenght l, width w and height h is given by:

V = lwh.

Prism 1 has dimensions of h = 10, l = 20, w = 7, hence it's volume in cubic inches is given by:

V1 = 20 x 10 x 7 = 1400 in³.

Prism 2 has dimensions of h = 4, l = 20, w = 4, hence it's volume in cubic inches is given by:

V2 = 20 x 4 x 4 = 320 in³.

Marcus shipped 1 of the larger boxes and 2 of the smaller boxes, hence the total volume is of:

V = V1 + 2V2 = 1400 + 2 x 320 = 2040 in³.

More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528

what is AxB and we know b=100 and a=? and than make a-78=679

Answers

Answer:

A × B = 60100

Step-by-step explanation:

B = 100

A = ?

A - 78 = 679

A = 679 - 78

A = 601

A×B=601×100

=60100

What is the y intercept of the line y=.8x+3

Answers

Answer:

(0,3)

Step-by-step explanation:

to find the y-intercept, you plug 0 into the x, so

y=.8(0)+3

y=0+3

y=3

How would you do this problem

Answers

Hence : According to the given explaination in the image our answer would be 50°.

Write an equation of the line with a slope of 4/5 and y-intercept of 0

Answers

Answer:

y = [tex]\frac{4}{5}[/tex] x

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 )

Here m = [tex]\frac{4}{5}[/tex] and c = 0 , thus

y = [tex]\frac{4}{5}[/tex] x ← equation of line

PLS HELP ME ASAP WILL MARK THE BRAINLIEST

Answers

Answer:

Check images

Step-by-step explanation:

Gonna be completely honest, not confident in the third one but I tried my best.

Please help!!
Distance is the number of units between two integers.
Use number line to find the distance between each pair
of integers
Y=
X=
Z =

Answers

Answer: X=1 units

Y= 5 units

Z=3 units

Step-by-step explanation:

Answer:

X=1 units

Y= 5 units

Z=3 units

Step-by-step explanation:

plz answer this is urgent.​

Answers

Answer: 9 subtracted from y and multiplied by 2

Answer:

2y subtracted from 9

I hope this answer is correct.

A bicycle company needs to ship 328 bicycles across country. If they can fit 50 bicycles per truck, about how many trucks do they need?
A) 3
B) 5
C) 7
D) 10

Answers

Answer:

c) 7

Step-by-step explanation:

328/50 + 6.6

you have to round up to fit all the bicycles

find the qoutient of 144/5 you have 5 minutes be quick

Answers

28.8 is the answer for thsi

Can someone help me with this question??? WIll Mark brainiest!!!!!!!!!!!!!!!

Answers

Answer:

99y[tex]d^{2}[/tex]

Step-by-step explanation:

Answer:

90yd²

Step-by-step explanation:

Area pf trapezium = 1/2 * (sum of parallel sides) * perdendicular distance b/w them.

Here,

Sum of II sides = 11 + 9yd = 20yd

Perpendicular distance = 18 yd

So, area of trapezium is

1/2 * 20yd * 18yd = 180yd²

As the triangle inscribed is right - angled triangle, area of ∆ = 1/2 * 10yd * 18yd = 90yd²

Shaded area = total area - area of ∆

= 180yd² - 90yd²

= 90yd²


The length of a diagonal in a square is
32 inches. Find the perimeter of
the square.

Answers

Drawing a diagonal line through a square or rectangle makes 2 right triangles. The line drawn will be the hypotenuse of the triangles, which is the longest side.

By using Pythagorean theorem we can solve for any of the side lengths of a triangle.

a will be the first side,
b will be the second side,
c will be the hypotenuse

And since the shape is a square, that means a and b will be the same length.

a^2 + b^2 = c^2

a^2 + b^2 = 1024

Since and b are the same, we can combine the left side of the equation to be 2a^2

2a^2 = 1024

Divide both sides by 2

a^2 = 512

Square root both sides

a = 22.6274

We have now solved for the length of one of the sides of the square. Since a square has 4 equal sides, we multiply this by 4 for our answer.


22.6274 x 4 = 90.5096 inches

I need help finding the equation and graphing it.

Answers

Step-by-step explanation:

First find the slope with the equation y/x

80/50=8/5 (you want this in fraction form)

y-80=8/5(x-50)

y-80=8/5x-80

y=8/5x+0

the y-intercept is zero (so place a dot at the origin)

next, go up 8 values and then 5 to the right (5,8), continue to do this process until you have enough points to graph a line. (10,16), (15,24), (20,32)

Hope this helps!

Please help

-

A company is making a steel reinforced concrete tunnel to prevent water from coming into the area. They are going to cover it with a protective coating.

They need to know the surface area of the tunnel to purchase the protective coating.

Calculate the surface area of the tunnel

Answers

The surface area of the cylinderical tunnel needed to purchase the protective coating is 452.16cm².

How to calculate the surface area?

Your information is incomplete. Therefore, an overview of the surface area of a cylindrical tunnel will be given.

Let's assume that the radius is 4cm and the height is 7cm. The surface area of the tunnel will be:

= πr²h + 2πr²

= (3.14 × 4² × 7) + (2 × 3.14 × 4²)

= 351.68cm + 100.48cm

= 452.16cm²

In conclusion, the surface area is 452.16cm².

Learn more about surface area on:

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Divide.


−3/8÷−6/7



A.−7/16


B.−9/28


C.9/28


D.7/16

Answers

The first answer is correct. -7/16 :)

Answer:

-7/16

Step-by-step explanation:


What is the definition of an exponential equation?

Answers

Answer:

Exponential equations are equations in which variables occur as exponents. For example, exponential equations are in the form ax=by . To solve exponential equations with the same base, use the property of equality of exponential functions

A photo is reduced with a scale factor of 1 to 3. If the photo is now 4 inches wide, how wide was the original photo? Show the math.

Answers

Answer:

12 inches wide.

Step-by-step explanation:

It is reduced to a 1:3 factor. where 1 is the new length and 3 is the old length. We can write a proportion [tex]1:3=4:x[/tex]. Now, if four numbers are in a proportion we can cross-multiply and we get [tex]1x=3\cdot 4 \rightarrow x = 12[/tex].

12 inches, I mean, you just have to take the size and multiply by 3
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