50 POINTS! The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?

Answers

Answer 1

The common difference d is

(41–11) / (10–5) = 6.

The first term is

11 - 6(5–1) = -13.

so , the first term is -13

Answer 2

Answer:

-13

Step-by-step explanation:

The fifth term:

[tex]a_5=a+4d = 11[/tex]

The 10th term:

[tex]a_{10}=a+9d=41[/tex]

Subtract side-by-side and find d:

9d - 4d = 41 - 115d = 30d = 6

Find the first term:

a = 11 - 4*6 a = 11 - 24a = - 13

Related Questions

Find 6.3×10−59×10−3
6
.
3
×
10
-
5
9
×
10
-
3
in scientific notation.

Answers

Answer:

-5.3 x 10^2

Step-by-step explanation:

I believe that is the answer

what the answer to 1024/32

Answers

Answer:

32

Step-by-step explanation:

Find the measure of each angle indicated.
Please show your work

Answers

its 77 because they are the exact same angle, there’s really no equation to be shown but u can find the total angle by adding 77 + 77 !

what is the value of 8x + 2x when x is 6

Answers

Answer:

The answer is 60

Step-by-step explanation:

8x + 2x

x = 6

Substitute the value of x

8(6) + 2(6)

48 + 12

= 60

So basically 8x has a missing number and that missing number is 6 meaning that you need to multiply so you would multipy 8 times 6 and would get 48

Now that you have that answer you would do the next one which is 2 times 6 and thats 12 then you add 48 and 12 together making that 60 and your answer is 60.

Simpler

8 x 6 = 48

2 x 6 = 12

48 + 12 = 60

A wire is bent to form a square of side 22 cm. If the wire is re bent to form a circle, its radius is with steps

Answers

Step-by-step explanation:

the circumference of a circle is

C = 2×pi×r

with r being the radius.

the square side length is 22 cm. so, the circumference or perimeter of the square (and therefore the length of the wire) is

4×22 = 88 cm.

now, it is the same wire of the same length that is now forming a circle.

so, the circumference of the square is also the circumference of the circle.

therefore,

88 = 2×pi×r

44 = pi×r

r = 44/pi = 14.00563499... cm

so, rounded, radius = 14 cm.

Answer:

The other answer is correct

Step-by-step explanation:

The circumference of the circle and the square will be the same so you solve the equation

4*22 = 2 pi r   where r is the radius.

For a Brainly please help me out

Answers

Answer:

y = –(1/2)x + 7

Step-by-step explanation:

Slope intercept form is y = mx + b

m is the slope

When the slope is the same the lines are parallel

here the slope is –1/2

therefor

y = –(1/2)x + 7 is parallel

I need help with this! Please asap

Answers

Answer:

1:Not

2:Not

3:Not

4:Not

5:Viable

6:Viable

7:Viable

8:Viable

9:Viable

10:Not

Step-by-step explanation:

In health class, Baldwin is learning about making healthy food choices. For a lesson on
digestive health, his teacher asks everyone to track how much fiber they eat daily. At
breakfast, Baldwin has a banana. He also has raisin bran cereal, which contains 3.7 grams of
fiber. In all, Baldwin eats 6.8 grams of fiber at breakfast.


Use an equation to find the amount of fiber in the banana.

Answers

Answer:

There are 3.1 fibers in rhe banana

Step-by-step explanation:

6.8-3.7=3.1

Subtract -2x² from the sum of 4x² and 15x².​

Answers

Answer:

Step-by-step explanation:

(4x²+15x²)-(-2x²)=19x²+2x²=21x²

Answer:

[tex]21x^{2}[/tex]

Step-by-step explanation:

[tex]4x^{2} +15x^{2} --2x^{2}[/tex]

[tex]4x^{2} +15x^{2} +2x^{2}[/tex]...........2 negatives signs next to each make a positive

[tex]21x^{2}[/tex].................................combine like terms

Figure A
Figure B
Which of the triangles in the two figures above is a right triangle? Explain your choice using
the Pythagorean Theorem to prove it. Note: the figures are not drawn to seale.

Answers

Answer:

Figure B

Step-by-step explanation:

The Pythagorean Theorem is [tex]a^2 + b^2 = c^2[/tex], where c is the longest side of the triangle (the hypotenuse).

To find the side length of each square, you have to square root the area of each square. This means that Figure A has side lengths of 3, 6 and 8 units. Figure B has side lengths of 5, 12 and 13 units.

In Figure A, if the triangle is right-angled, the equation [tex]3^2 + 6^2 = 8^2[/tex] must be correct. 9 + 36 = 45. 45 is not equal to 64, so the triangle is not right-angled.

In Figure B,  if the triangle is right-angled, the equation [tex]5^2 + 12 ^2 = 13^2[/tex] must be correct. 25 + 144 = 169. 169 is 13 squared, so the triangle is right-angled.

Alternatively, as you are already given the square values for each side length, there is no need to square root and square again. You can just test if the two smaller areas equal the larger area, but the explanation above uses a more detailed example of the Pythagorean Theorem.

What is the equation of this line in slope-intercept form?
A: y = 4x + 1

B: y=−4x+1

C: y=4x−1

D: y=−14x+1

Answers

Answer: B

Step-by-step explanation:

The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.

We can first eliminate C, because the y-intercept of the graph is 1.

To solve for slope, which is the m, choose two points, (-1, 5) and (1, -3).

Slope = (y2 - y1) / (x2 - x1)  

           = (-3 - 5) / (1 - (-1))

          = (-3 - 5) / (1 + 1)

          = -8/2

          = -4

Plug in the slope and y-intercept, we get y = -4x + 1

       

Hong paid $12.53 for a 7.03-kg bag of dog food. A few weeks later, he paid $14.64 for a 7.98-kg bag at a different store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.

Round your answers to the nearest cent.

Answers

Answer: First bag unit price: 1.78

second bag unit price : 1.83

Step-by-step explanation:

divide the price by the weight. First bag is better

What series of transformation will not map figure H onto itself

Answers

Answer:

D

Step-by-step explanation:  

Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2)

Consider option D.

1st transformation  will map vertices of the square into points

....2nd transformation = reflection over y = -x + 2 will map vertices into points ....

These points are not the vertices of the initial square.

I hope it helps.

find meh x pls 10 points Uwu
−5/6=−1/4−7/10x

Answers

answer is 5/6

Step-by-step explanation:

multiplying by 60, we get,

50=15+42x

we can simplify it, 42x= 35,or x=5/6

X=-5/6
Gotta find a LCD then times both asides by it then solve!

Graph the following features:
Slope = -3/4 y intercept: -3

Answers

Answer:

The graph is attached

Consider the line y=3x-3 .
Find the equation of the line that is parallel to this line and passes through the point(7, 4) .

Find the equation of the line that is perpendicular to this line and passes through the point (7, 4).

Answers

Answer:

4.7

Step-by-step explanation:

Need help will give brainleist

Answers

f(10) basically means when x =10 what is our y value

in this case Y= 5

Is this a function? Easy points

Answers

Wanna learn how to make Mac and cheese
For thanks giving

Boil the pasta, drain.
Make the cheese sauce by combining a fat (butter), and starch (flour), then whisking in the milk products.
Cook the sauce until it’s nice and thick.
Add in shredded cheeses, stir well.
Combine cheese sauce with cooked pasta.
Transfer half of the mac and cheese to a baking dish, sprinkle with more shredded cheese.
Top with the rest of the mac and cheese, top with more shredded cheese.
Bake and prepare to thoroughly enjoy

simplify √ 18 + √ 20 - √ 45

Answers

Answer:

3√2 - 4√5 -

ig this is the answer

Answer:

3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{18}[/tex]

= [tex]\sqrt{9(2)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex]

= 3[tex]\sqrt{2}[/tex]

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

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]

= 2[tex]\sqrt{5}[/tex]

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

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{18}[/tex] + [tex]\sqrt{20}[/tex] - [tex]\sqrt{45}[/tex]

= 3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] ← collect like terms

= 3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]

what is the answer??????​

Answers

Answer:

15 percent

Step-by-step explanation:

15 PERCENT

HAVE A NICE DAY SIR/MA'AM

GREAT DAY

Someone plz help me :(

Answers

Answer:

it is answer A

Step-by-step explanation:

answer A has the correct ordered pairs on the correct lines, and in the correct order, the others either have the lines, or the order, or the ordered pair in general mixed up.

Definition: The points where a graph intersects the x-axis are called it’s __.

Answers

Answer:

zeroes or x-intercepts

Step-by-step explanation:

Which fractions are equivalent to 1/5?


Select each correct answer.


2/8


2/10


20/100


3/12

Answers

Answer:

2/10&20/100

Step-by-step explanation

hope it helps

please mark brainliest

A pancake recipe calls for 4 cups of flour and 3 cups of milk. Does a recipe calling for 2 cups of flour and 1.5 cups of milk use the same ratio of flour to milk?

Answers

Answer:

I think the answer is Yes

Step-by-step explanation:

For example, 2 cups of flour can equal 4 cups of flour by multiplying by two. So 1.5 cups of milk, you multiply by two and it is equivalent to 3 cups of milk. So in the end, it is equal and it's basically half of the pancake recipe. Hope it helps!

list three rational number between -3 and -2

correct answer needed full explanation​

Answers

Answer:

-3×4= -12

-2×4= -8

three rational number between them are -11 , -10 , -9

Step-by-step explanation:

hope that it will help you

The rational numbers between -3 and -2 are;

-5/2, -9/4 and -11/4

Rational Numbers

Rational numbers are numbers that can be represented as the quotient of two integers but not equal to zero.

Now, to find the rational number between -3 and -2, we will use the formula;

x = ½(a + c)

x = ½(-3 + (-2))

x = -5/2

Another rational number is;

x = ½(-(5/2) + (-2))

x = ½(-9/2)

x = -9/4

Using the same pattern, we can still get another one as -11/4

In conclusion, the three rational numbers will be -5/2, -9/4 and -11/4

Read more about rational numbers at; https://brainly.com/question/12088221

What is the greatest common factor of 49, 62 and 80?

Answers

Answer:

literally 1

Step-by-step explanation:

scooby ate my scooby snax

Answer:

Your answer is...

1.

Step-by-step explanation:

To find the greatest common factor, you have to list the prime factors of each number. That is how you find any GCF.


2.

Find the slope of the line that passes through the points (4,2) and (4,10)

Answers

Answer:

The slope is unidentified

Step-by-step explanation:

The equation of the line is x=4

I am stuck. The screenshot will explain

Answers

Add the first expression
0.2+0.05=0.25
Multiply the second expression
0.2x0.05=0.010
Divide the results by each other
0.25/0.010
Get your answer
25

Hope this helps!

round 73.03 to the 1 decimal place

Answers

Answer:

The answer is 73.0 or just 73

can someone help me on this one plss i REALLY need this for school

Answers

Answer:

0.9 + n = 5.2

Step-by-step explanation:

Think about it, 0.9 increased by a number is 5.2

In other words, increasing 0.9 by a number will equal 5.2

So, increasing = adding, right?

Adding 0.9 to a number will equal 5.2

0.9 + n (a number) = 5.2

C increased equals +
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