The sum of two consecutive odd integers is 96. what is the product of these integers?

Answer:

  3, 8, 14, 30, 58

Step-by-step explanation:

As with all formulas, put the numbers in place of the corresponding variables, and do the arithmetic.

  [tex]a_1=3\qquad\text{given}\\\\a_2=8\qquad\text{given}\\\\a_3=2a_1+a_2=2(3)+8=14\\\\a_4=2a_2+a_3=2(8)+14=30\\\\a_5=2a_3+a_4=2(14)+30=58[/tex]

The first 5 terms of the sequence are 3, 8, 14, 30, 58.

a) The first five terms in the sequence is 100, 95, 90, 85 and 80

b) The nth term of the sequence will be 100 + (n - 1)(5) = 5n + 95

Sequences are set of values arranged in a particular order. Given the recursive formula for a sequence expressed as;

an=an-1-5

If the first term a1 = 100, then;

a2 = a1 - 5
a2 = 100 - 5
a2 = 95

For the third term

a3= a2 - 5
a3= 95 - 5
a3 = 90

The other two terms will be 85 and 80

a) The first five terms in the sequence is 100, 95, 90, 85 and 80

b) The nth term of the sequence will be 100 + (n - 1)(5) = 5n + 95

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Answer:

p + 6

Step-by-step explanation attached as image.

Answer:

6

Step-by-step explanation:

Negative ×negative always gives gives a positive

Your median is 5 because that is the number that is mentioned the most.

A median is a number that i said the most.

And in the pic your median is 7.

Hope this helps you :0

Answer:

$573.50 per week

Step-by-step explanation:

wages =  40 hr/wk * 7.25 $/hr   $290 per week

tips   90 tables * ( 21*.15) = 283.50

total    290 + 283.5 = 573.50  

Answer:  

x = 3

y = -2

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4x + 5y = 2........i

2x + 3y = 0........ii

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Let's start by eliminating x, so we multiply i by 2 and ii by 4

2|4x + 5y = 2

4|2x + 3y = 0

So that we have

8x + 10y = 4..........iii

8x + 12y = 0..........iv

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Subtracting iv from III, we have

-2y = 4

y = 4/-2

y = -2

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Going ahead and substituting this value of y in eqn i, we have

4x + 5(-2) = 2

4x - 10 = 2

4x = 2 + 10

4x = 12

x = 12/4

x = 3

Step-by-step explanation: hope this helps, brainliest please <3

Answer:

First,you need to find the components of each force.

Answer:

um..is this finished question ????

Answer: The slope is -1

Step-by-step explanation:  

When you are given a line on a graph all you need to do is pick two points on the line and calculate the change over both the x and y-axis.

Pick both points to be at a position on the line that is easy to read. IE the intersection between two grid lines.  For this problem lets go with the first point at (0,1) and the second point at (1,0).

Now we want to calculate the change in rise (the y-component) and divide by the change in the run (the x-component).  Point 1 has a y-component of 1 and point 2 has a y-component of 0.

1 - 0 = 1 = rise

Point 1 has an x-component of 0 and point 2 has an x-component of 1.

0 - 1 = -1 = run

rise/run = 1/-1

Slope = -1

Answer:

see below

Step-by-step explanation:

cscx=4

sinx=1/4

cosx=-√(1-sin^2x)=-√(1-(1/16))=-√(15/16)=-√15/4

note: cos<0,sin>0 in quadrant II

sin(x/2)= [tex]\sqrt{\frac{1+cos(x)}{2} } =\sqrt\frac{1+\sqrt{\frac{15}{4} } }{2} =\sqrt{\frac{4+\sqrt{15} }{8} }[/tex]

cos(x/2)= [tex]\sqrt{\frac{1-cos(x)}{2} } =\sqrt{\frac{1-\sqrt{\frac{15}{4} } }{2} } =\sqrt{\frac{4-\sqrt{15} }{8} }[/tex]

tan(x/2)= [tex]\frac{sin(x)}{1-cos(x)} =\frac{\frac{1}{4} }{(1-\frac{\sqrt{15} }{4} )} =\frac{\frac{1}{4} }{\frac{4-\sqrt{15} }{4} } =\frac{1}{4-\sqrt{15} }[/tex]

Calculator check:

[tex]sinx=\frac{1}{4}[/tex]

[tex]x\neq 165.52[/tex]˚ in quadrant II

[tex]\frac{x}{2} \neq 82.76[/tex] ˚

sin(x/2)≈sin(82.76)≈0.9920..

exact value=√(4+√15)/8≈0.9920..

..

cos(x/2)≈cos(82.76)≈0.1260..

exact value=√(4-√15)/8≈0.1260..

..

tan(x/2)=tan(82.76)≈7.872..

exact value=1/(4-√15)≈7.872..

Answer:

157.78

Step-by-step explanation:

Area of a trapezoid = ( sum of base lengths / 2 ) × height

the base lengths of the trapezoid shown are 8.7m and 16.3 + 7.2 = 23.5m

the height is 9.8m

so area = (( 8.7 + 23.5 ) / 2) × 9.8

==> add 8.7 and 23.5

area = (32.2 / 2) × 9.8

==> divide 32.2 by 2

area = 16.1 × 9.8

==> multiply 16.1 and 9.8

area = 157.78

The resulting equation after the first step in the solution is:

2v + 4 = 8.

An equation is a mathematical statement that asserts the equality between two expressions. It typically contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, or exponentiation.

we have the Equation v + 4 + v  =8

Now, simplifying we get

2v + 4= 8

2v = 4

v =2

To obtain this equation, we combined the like terms "v" on the left side of the equation, which gives us 2v. The rest of the equation remains unchanged.

Therefore, the correct answer is : 2v + 4 = 8.

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Answer:

x=0 or x=−95

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−190x=2x²

Step 2: Subtract 2x² from both sides.

−190x−2x²=2x²−2x²

−2x²−190x=0

Step 3: Factor left side of equation.

(−2x)(x+95)=0

Step 4: Set factors equal to 0.

−2x=0 or x+95=0

x=0 or x=−95

[tex]~~~~2x^2 =-10 \times 19\\\\\implies 2x^2 = -190\\\\\implies x^2 = -\dfrac{190}2\\\\\implies x^2 = -95\\\\\implies x = \pm\sqrt{-95}\\\\\implies x = \pm \sqrt{-1}\sqrt{95}\\\\\implies x = \pm i\sqrt{95}[/tex]

Step-by-step explanation:

a.) 9

When you divide with a fraction you do the reciprocal of the fraction (basically flipping numerator and denominator) then multiplying (since the opposite of division is multiplication.

So if you flip

[tex]\frac{1}{9} [/tex]

It would be:

[tex] \frac{9}{1} [/tex]

9/1 is the same as 9 so:

1 times 9 = 9

b.) 15

Same thing like we did above, just do the reciprocal the multiply.

[tex] \frac{1}{5} [/tex]

Becomes

[tex] \frac{5}{1} [/tex]

5/1 is the same as 5.

3 times 5 = 15

Answer:

-2

Step-by-step explanation:

The slope is rise over run. If we look at the points we can see the rise is -2 and the run is 1. -2/1 = -2, so my answer is correct.

Answer:

Hi I’m the friend

Step-by-step explanation:

by the way I also need brainliest, so you get to choose who to mark as brainliest

Answer:

That is a linear function

Step-by-step explanation:

A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.

If you try to graph that function on a graphing calculator, you will get a straight line.

Therefore, it is a linear function.

mark brainliest please!

Answer:

I think it's a linear one(function)

y=6x÷19

Answer:

The  answer is b

Step-by-step explanation:

Answer: B

I had to help my brother with this

Answer:

Below!

Step-by-step explanation:

Let the irrational number be known as "x".

[tex]\implies -\sqrt{41} \times x = 1[/tex]

Divide both sides by -√41.

[tex]\implies \dfrac{(-\sqrt{41} \times x)}{-\sqrt{41} } = \dfrac{1}{\sqrt{-41} }[/tex]

[tex]\implies x = \dfrac{1}{-\sqrt{41} }[/tex]

Take the "-" to the numerator:

[tex]\implies x = \dfrac{-1}{\sqrt{41} }[/tex]

Use parenthesis to isolate the "-"

[tex]\implies x = -\huge\text{(}\dfrac{1}{\sqrt{41} } \huge\text{)}[/tex]

Note: 1 can also be written as √1. (√1 = √1 × √1 = 1)

[tex]\implies {x = -\huge\text{(}\dfrac{\sqrt{1}}{\sqrt{41} }\huge\text{)}}[/tex]

Combine the roots in the equation:

[tex]\implies {x = -\huge\text{(}\sqrt{\dfrac{1}{41} }} \huge\text{)}}[/tex]

Remove the parenthesis:

[tex]\implies {x = -\sqrt{\dfrac{1}{41} }}[/tex]

Thus, Option C is correct.

Answer:-5/14

Step-by-step explanation:

make then equal and insert N, 16/14-21/14=-5/14

Answer:

The digit 5 is equal to is 5,000 :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

The thousandth digit!

Step-by-step explanation:

Answer:

r = h + m

Step-by-step explanation:

h = r - m

Switch sides.

r - m = h

Add m to both sides.

r - m + m = h + m

Simplify the left side. -m + m = 0

r = h + m

Using the standard format of a perfect-square quadratic sum, it is found that the value that completes the expression is 169.

It is represented by:

(a + b)² = a² + 2ab + b².

In this problem, we have that the expression is:

a² + 2ab + b² = h² + 26 + b².

Hence a = 1, 2ab = 26 -> b = 13, thus the value that completes the expression is:

b² = 13² = 169.

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Answer:

240

Step-by-step explanation:

The answer is 240. You have to multiply 20 times 12 since each basketball has an equivalent weight to the others. Hope this helps! :)

Answer:

1 ounce =28grams

Step-by-step explanation:

if 1 ounce=28grams

20ounce=20ounces x 28 grams

=560g

one ball weighs 560grams

Answer:

here

Step-by-step explanation:

if you need more explanation comment on this

Answer:

Step-by-step explanation:

The following inequality can be solved by separating the term x from one side.

4x+15≥x+6

First, subtract by 15 from both sides.

4x+15-15≥x+6-15

Solve.

4x≥x-9

Then, you subtract by x from both sides.

4x-x≥x-9-x

Solve.

3x≥-9

Divide by 3 from both sides.

3x/3≥-9/3

Solve.

Divide the numbers from left to right.

-9/3=-3

[tex]\Longrightarrow: \boxed{\sf{x\geq -3}}[/tex]

I hope this helps, let me know if you have any questions.

Answer:

x ≥ -3

Step-by-step explanation:

To determine the solution to the inequality, we need to isolate the variable and its coefficient on one side of the equation. Furthermore, isolate the variable by dividing the coefficient by both sides of the equation. The inequality obtained after doing these steps is the solution to the inequality.

Given inequality:

As said above, let's isolate "x" and it's coefficient on one side of the equation. This can be done by subtracting "x + 15" to both sides of the equation.

As said above, let's further isolate "x" by dividing the coefficient of "x" to both sides of the equation.

Therefore, the solution is x ≥ -3.

Answer:

x = 4

Step-by-step explanation:

(5-x) / (3/4x) = 1/3

multiply  both sides by 3/4 x

5-x  = 3/12 x    add 'x' to both sides of the equation

5 = 15/12 x       multiply both sides by 12/15

4 = x

[tex]\text{nth term of an arithmetic sequence,}\\\\a_n = a_1 + (n-1)d\\\\a_4 = a_1 +3d=107~~~......(i)\\ \\a_8=a_1+7d = 191~~~......(ii)\\\\\\\text{(ii) -(i):}\\\\~~~~~~a_1+7d-a_1-3d = 191 -107\\\\\implies 4d = 84\\\\\implies d = \dfrac{84}4\\\\\implies d= 21\\\\\text{Substitute d= 21 in eq~(i):}\\ \\~~~~~ a_1 +3(21) = 107\\\\\implies a_1 + 63 = 107\\\\\implies a_1 = 107-63\\\\\implies a_1 =44[/tex]

Answer:

m<MLO = 120°

Step-by-step explanation:

Equilateral Triangles have all 60° angles.

m<MLN = m<OLN = 60°

60°+60°=120°