If b and t are real numbers such that 0<|t|<|b|, which of the following infinite series has sum 1b2 t2

The algebraic expression for the given sequence 1, 10, 19 as required to be determined is; a (n) = 1 + ( n - 1 ) 9.

As evident in the task content; it follows that the common difference of the given sequence is constant since; 19 - 10 = 10 - 1 = 9.

On this note, since the nth term of arithmetic sequences take the form;

a (n) = a (1) + ( n - 1 )d

Since the first term is; 1 and the common difference is; 9; the resulting algebraic expression is;

a (n) = 1 + (n - 1)9.

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Answer:

36 sq ft

Step-by-step explanation:

The area of a square is equal to the length of one side squared. Therefore, if all sides of a square are 6 feet long, the area of the square is 6 feet * 6 feet = 36 square feet.

Answer:

36

Step-by-step explanation:

you multiply just two of the sides hxw and you get your answer

Answer:

912.9 miles total

Step-by-step explanation:

75.4 miles biking x 8 times =  603.2 miles in biking

22.4 miles running x 3 days =  67.2 miles in running

27.5 miles running x 5 days =  137.5 miles running (2nd)

15 miles swimming x 7 days =  105 miles swimming

603.2+67.2+137.5+105 =

912.9 miles total

Most likely one of these unrelated factors that could possibly have an impact on how long it takes to finish the race is the environment

Therefore the correct option is a) Number of people the stadium can hold

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Bonnie will complete four laps before being passed by Annie because she runs an additional quarter lap for every lap she completes. This indicates that Annie and Bonnie are on an equal footing, and Annie must complete an additional lap to pass Bonnie. Annie will have completed five laps after that.

We can use the unitary method to calculate 100% of an amount. For instance, if 10% of the marbles in a pot are 35, then the total number of marbles in the pot will be 35 x 10%, or 350.

The unitary method can be used to calculate how many kilometres a car will travel on one litre of gas if it travels 44 km on two litres of fuel. In other words, the unitary method is the process by which we determine the value of a single unit and then use that information to determine the values of multiple units.

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Answer:

Probably cash

Step-by-step explanation:

Because the other one would have your name and information on it and cash doesn't have any information or anything.

Answer:

credit

Step-by-step explanation:

because someone could take it hack into your account and steal your money with the information

Answer:

we get a required sample size of 122.

Step-by-step explanation:

We can use the following formula to calculate the required sample size:

n = (Z * sigma / e)^2

where:

n is the required sample size

Z is the z-score corresponding to the desired confidence level (e.g. for a 95% confidence level, Z = 1.96)

sigma is the standard deviation of the population

e is the maximum error allowed

Plugging in the given values, we get:

n = (1.96 * 0.6 / 0.08)^2 = 121.6

Rounding up to the next integer, we get a required sample size of 122.

The second row's third box AC = AC ( common side ) ( common side ) box last. Therefore, by applying the ABCD ASA congruence axiom.

Three sides, three angles, and three vertices make up the closed, two-dimensional shape of a triangle. Polygons include triangles. Triangle ABC is depicted in the above figure. Triangular polygons in geometry are those with three sides and three vertices. There are three straight sides to this two-dimensional figure. Three-sided polygons include triangles. A triangle's three angles add up to a full 180 degrees. A single plane contains the triangle. Triangulus, which means "three-cornered" or "having three angles," is a Latin word with roots in tri-, "three," and angulus, "angle or corner."

given

AB||DC , BC||AD

To show that

ΔABC≅ ΔCDA

First box

AB || DC (given )

below box to the first box

∠BAC = ∠DCA ( parallel lies cut by the transverse form congruent alternate interior angles )

Second box

BC||AD ( given )

Below box to the second box

∠DAC = ∠BCA ( parallel lies cut by the transversal form congruent alternate interior angles )

Third box in the second row

AC = AC ( common side )

Last box

So by using ASA congruence axiom

ΔABC ≅ΔCDA

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A quarter equals 0.25

You want to multipole the number of quarters you have by 0.25 to get the total value.

The equation would be V = 0.25n

The output would be V which is the dollar value of the number of quarters you have.

The independent value would be the input value (n) which is the number of quarters you have.

Answer:

54

Step-by-step explanation:

63 x 2 = 126

180 - 126 = 54

Answer:

16

14

8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

2 boxes has 50 glasses

times by 2 and its equal to A

Answer:  A or B

Step-by-step explanation:

Answer:

Solution given:

<A=49°

<B=90°

angle ECD=?

we have

<A+<B+<C=180°[sum of interior angle of a triangle is 180°

<A+40+90=180°

<A=180°-130°

<A=50°

wehave

<A=<ECD[vertically opposite angle]

:.angle ECD=50°.

On solving the provided question we can say that by equation 180 water must be added to make a solution that is 5% sugar

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

here, the equation is -

1200=300+5x

900 = 5x

x=180

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Answer:

541

Step-by-step explanation:

if you have a 1 in the ones place and a 4 in the tens place and a 5 in the hundreds place this will be your number

Answer:

Step-by-step explanation:

2A. 3x=6 ⇒ x=2

2B. 3n=2(n-3) ⇒ 3n=2n-6 ⇒ n= -6

1. cross multiplication method

Answer:

30° ; 35°

Step-by-step explanation:

Recall:

Sum of angles in a triangle = 180°

One of the 3 angles = 115

The sum of the other 2 Angles will be :

(180 - 115) = 65°

The other two angles are in the ratio 6:7

Hence,

Each of the two angles can be calculated thus :

Angle 2 :

Sum of ratio = 6 + 7 = 13

(6 / 13) * 65 = 30°

Second angle :

(7 / 13) * 65 = 35°

If six different colors of paint are available, 360 ways can the knobs be painted.

A coat hanger has four knobs, and each knob can be painted any color. If six different colors of paint are available,

When examining permutations and combinations, we use factorials. Permutations tell us how many different ways we can arrange things if their order matters. Combinations tells us how many ways we can choose k item from n items if their order does not matter.

coat hanger has four knobs

6!  / 4! ( 4!)

6 * 5 * 4* 3 / 4 * 3 * 2* 1 (4 * 3 * 2 * 1)

= 30 * 1 2

=360

360 ways can the knobs be painted.

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The 30-60-90 triangle is shaped like half of an equilateral triangle.

A special right triangle with angles 30°, 60°, and 90° is called a 30-60-90 triangle. Since 30° is the smallest angle in the triangle, the side opposite to the 30° angle is always the smallest.

The side opposite to the 60° angle is the longer leg, and finally, the side opposite to the 90° angle is the largest side of the right triangle, also known as the hypotenuse.

30°-60°-90° Triangle Rule:

In a 30-60-90 triangle, we can find the measure of any of the three sides by knowing the measure of at least one side in the triangle. This is known as the 30-60-90 triangle rule.

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Answer:

x = 4

Step-by-step explanation:

Given

[tex]\frac{7+2x}{3}[/tex] = 5 ( multiply both sides by 3 to clear the fraction )

7 + 2x = 15 ( subtract 7 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

In linear equation ,The length of waterslide is 12 yards.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Given that,

The length of an object object in feet is equal to 3 times it’s length in yards

The length of wall water side slide is 36 feet

Let "y" be the length of object in yards

From given,

Length in feet = 3 times length in yards

    36 =  3 * y

     3y = 36

    y = 36/3

     y = 12

Thus length of waterslide is 12 yards.

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Thanks dude!

Step-by-step explanation:

Can i have brainly?

Answer:

A

Step-by-step explanation:

The extreme value theorem can be applied on an interval if the function is continuous in the entire interval. Testing the continuity for each function, we get that the correct option is the third option.

Continuity:

A function f is continuous at an interval if all points in the interval are in the domain of the function, and, for each point of [tex]x^{\ast}[/tex], the limit exists and:

[tex]\lim_{x \rightarrow x^{\ast}} = f(x^{\ast})[/tex]

First function:

At [tex]x = 4[/tex], the denominator is 0, and so, the extreme value theorem cannot be applied.

Second function:

At [tex]x = 5[/tex], the denominator is 0, and so, the extreme value theorem cannot be applied.

Third function:

The only point there can be a discontinuity is at [tex]x = 4[/tex], where the definition of the function changes. First we have to find the lateral limits, and if they are equal, the limits exist:

To the left(-), it is less than 4, so we take the definition for x < 4.

To the right(+), it is more than 4, so we take the definition for x >= 4.

[tex]\lim_{x \rightarrow 4^{-}} h(x) = \lim_{x \rightarrow 4} \frac{9x}{10-x} = \frac{9*4}{10-4} = \frac{36}{6} = 6[/tex]

[tex]\lim_{x \rightarrow 4^{+}} h(x) = \lim_{x \rightarrow 4} x + 2 = 4 + 2 = 6[/tex]

The lateral limits are equal, so the limit exists, and it's value is 6.

The definition at [tex]x = 4[/tex] is [tex]h(x) = x + 2[/tex], so [tex]h(4) = 4 + 2 = 6[/tex].

Since [tex]\lim_{x \rightarrow 4} = h(4)[/tex], the function is continuous over the entire interval, and this is the correct answer.

Fourth function:

There can be a discontinuity at [tex]x = 5[/tex], so we test the limits:

[tex]\lim_{x \rightarrow 5^{-}} h(x) = \lim_{x \rightarrow 5} -x = -5[/tex]

[tex]\lim_{x \rightarrow 5^{+}} h(x) = \lim_{x \rightarrow 5} x^2 - 20 = 5^2 - 20 = 25 - 20 = 5[/tex]

Different limits, so the limit does not exist and the function is not continuous at [tex]x = 5[/tex], and the extreme value theorem cannot be applied.

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Answer:

[tex](x,y)\rightarrow(1,2)[/tex]

Step-by-step explanation:

Multiply first equation by 3 to help cancel out the "y" variable:

[tex]\displaystyle \left \{ {{x+y=3} \atop {x-3y=-5}} \right.\\\\\rightarrow \left \{ {{3x+3y=9} \atop {x-3y=-5}} \right.[/tex]

Combine system of equations on both sides:

[tex](3x+3y)+(x-3y)=9+(-5)\\4x=9-5\\4x=4\\x=1[/tex]

Thus,

[tex]x+y=3\\1+y=3\\y=2[/tex]

Answer: 14

Step-by-step explanation: 18 x 14 = 252

Answer:

14

Step-by-step explanation:

recall that area of figure, A= length x. breadth

and A=252

and b=18

therefore, 252= 18b

l= 252/18

l= 14

therefore p= 14