Find the missing term(s) of each arithmetic sequence. -1, □, 11,. . . .

For the linear equation C = kl, where c, cost is the local variable and it takes 49.4 cents more for a 30 min local call. The dependent variable is the price of a local call.

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

The equation representing the situation

C = kl

where c depicts the cost and l is the length of call.

The dependent variable is the price of a local call.

The term "mord more" denotes that we are searching for the price difference between a 4 minute call and a 30 minute call, or the price of a 26 minute call.

The cost for 26 minutes will be 49.4 cents.

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The value of 'a' in the given expression is 11/2.

The square root formula can be used to calculate the square root of any number. The square root of any number is the value that, when multiplied by itself, yields the original number. Each number has two square roots, one positive and the other negative. For example, the number four has two square roots, -2 and 2.

Given [tex]$32 \sqrt{2}=2^a$[/tex]

We can write 32 as:

32 = 2 × 2 × 2 × 2 × 2

32 = [tex]2^{5}[/tex]

We can write [tex]$\sqrt{2}=2^{1 / 2}$[/tex].

Now,

[tex]$$\begin{array}{r}32 \sqrt{2}=2^a \\2^5 \cdot 2^{1 / 2}=2^a \\2^{5+1 / 2}=2^a \\2^{1 / 2}=2^a \\\end{array}$$[/tex]

Therefore, the value of a = 11/2.

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Answer: It is 32

Step-by-step explanation:

The given situation shows an arithmetic sequence and the number of sales in the week 50 can be determined by using the nth term formula of arithmetic sequence. The sales in all 50 weeks can be determined by using the formula for sum of finite arithmetic sequence.

An arithmetic sequence is an ordered set of numbers that have a constant difference called a common difference between consecutive terms. Each term is obtained by adding the common difference to the previous term.

In the given situation, the first term (a) is the number of sales to be made in the first week. Hence, a = 10

The common difference (d) is the number added to get the number of sales in the next week. Hence,

d = 1

Hence, in the 2nd week the number of sales should be 11 and in 3rd week it should be 12.

Using the formula for nth term and n = 50,

an=a+(n-1)d

a50=10+(50-1)1

a50=10+(49)1

a50=10+49=59

The formula of finding the sum of the finite arithmetic sequence:

Sn=(n/2)(a1+an)

S50=(50/2)(10+59)

S50=25(69)=1725

Hence, the number of sales in the 50th week is 59 and the total number of sales made in the 50 weeks is 1725.

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Answer:

12<6+n

this is the answer

The cost of each small charcuterie boards is $6 and one medium charcuterie boards is $7.

A mathematical statement known as an equation is made up of two expressions joined together by an equal sign. It is a formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Let small charcuterie boards = c

Let medium charcuterie boards = m

Therefore, the equation will be:

10c + 12m = 144

5c + 9m = 93

Multiply equation i by 5

Multiply equation ii by 10

50c + 60m = 720

50c + 90m = 930

Subtract

30m = 210

m = 210/30

m = 7

Therefore, 5c + 9m = 93

5c + 9(7) = 93

5c + 63 =93

5c = 93 - 63

5c = 30

Divide both sides by 5

c =  30 / 5

c = 6

Therefore, based on the information the cost of each small charcuterie boards is $6 and one medium charcuterie board is $7.

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Answer:

226.2 miles

Step-by-step explanation:

8.7 x 26 = 226.2

Answer:

14x+10

Step-by-step explanation:

The product means multiplication

Answer:

D 14x+10

Step-by-step explanation:

Answer:

3, 5, 7, 9

Step-by-step explanation:

Give Brainliest if I helped!

The four consecutive odd integers that Zach found are x, x + 2, x + 4, and x + 6 are -11, -9, -7, and -5.

To solve this problem,  set up equations based on the given information.

"5 times the sum of the first and the third":

[tex]5(x + x + 4)[/tex]

"the product of 8 and the sum of the second and the fourth":

[tex]8((x + 2) + (x + 6))[/tex]

According to the problem, the first equation should be 22 greater than the second equation:

[tex]5(x + x + 4) = 8((x + 2) + (x + 6)) + 22[/tex]

Next,  simplify and solve the equation:

[tex]5(2x + 4) = 8(2x + 8) + 22[/tex]

Remove the bracket by multiplying the terms:

[tex]10x + 20 = 16x + 64 + 22[/tex]

Take the variables to LHS and constants to other side and solve it:

[tex]6x = -66[/tex]

On dividing by 6 on both sides:

x = -11

Now that the value of x, and  find the four consecutive odd integers:

x = -11

On substituting x value in the following terms:

[tex]x + 2 = -11 + 2 \\= -9\\x + 4 = -11 + 4\\ = -7\\x + 6 = -11 + 6 \\= -5[/tex]

Therefore, the four consecutive odd integers are -11, -9, -7, and -5.

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Carter needs to ride 3.9 miles per day on an average to meet his target of riding 28.7 miles in a week.

We are given that:

The total number of miles that needs to be ridden by Carter = 28.7 miles

Now, he has already ridden 17 miles this week

So, the miles left to be ridden = 28.7 miles - 17 miles

Number of miles left = 11.7 miles.

Now, he has 3 more days to finish his target.

So, on an average, he should ride:

Average = 11.7 miles / 3 days = 3.8 miles per day

Therefore, Carter needs to ride 3.9 miles per day on an average to meet his target of riding 28.7 miles in a week.

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Yes, the results of dividing X by a negative value and dividing X by a positive value are different. If we divide X by a negative value, the result will be negative, and if we divide X by a positive value, the result will be positive.

For instance:

It is true that 8 > 2 is unequal.

Divide both sides by 2, then:

True inequality also exists when 4 > 1. Due to the fact that we divided by a positive number, the inequality symbol remained.

Let's begin once more with

8 > 2, and apply a -2 to both sides.

-4 > -1 is erroneous. The inequality is no longer valid if the inequality sign changes when both sides are divided by a negative integer. When dividing both sides by a negative integer, the inequality sign must be changed in order to maintain its validity.

8 > 2

Add a -1 to both sides.

True for -4 < -1.

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Using direct variation, the value of x for equation y = 5/-3 (x) is 3/5 when y = -1

When x is not equal to zero, an equation of the form y = kx describes the linear function known as direct variation. When x is not equal to zero and k is a nonzero real number constant, the equation of the form xy = k describes the nonlinear function known as inverse variation.

Using direct variation,

y = kx

⇒ 5 = k(-3)

⇒ k = 5 / -3

for y = -1

y = 5/-3 (x)

⇒ -1 = 5/-3 × x

⇒ x = 3/5

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Answer:

Step-by-step explanation:

Let the original speed of the cars be x.

When speed is x + 10 the distance in two hours is:

When speed = x - 10 the distance in three hours is:

Since the distance is same in both cases, set them equal and solve for x:

The original speed of the cars is 50 km/h

Answer:

Original speed = 50 km/h

Step-by-step explanation:

Given that,

→ first car travels 10 km faster than its current speed. It would travel in two hours the same distance.

→ second car travels 10 km per hour slower than its current speed. It would travel in 3 hours the same distance.

Then the equation will be,

→ 2(x + 10) => 1st car

→ 3(x - 10) => 2nd car

→ 2(x + 10) = 3(x - 10)

Now the original speed of the cars is,

→ 2(x + 10) = 3(x - 10)

→ 2x + 20 = 3x - 30

→ 2x - 3x = -30 - 20

→ -x = -50

→ [ x = 50 km/h ]

Hence, the original speed is 50 km/h.

Answer:

Graph attached

Step-by-step explanation:

Find algebraically y values for x = -2 and x = 2 and connect the two points by a line

Equation: y = 3x + 2

For x = -2, y = 3(-2) + 2 = -6 + 2 = -4

For x = 2, y = 3(2) + 2 = 6 + 2 = 8

So the two points are (-2, -4) and (2, 8)

Answer:

15.71 cm

Step-by-step explanation:

circumference is [tex]\pi[/tex]d

diameter is 2r

radius = 2.5 cm so the diameter is 2.5*2 = 5 cm

circumference = [tex]\pi[/tex] (5) -> 15.707

rounded to the nearest hundredth is 15.71 cm

Answer: Maybe f I'm not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

so first it would be -0.1 but that means you need to remove the 17th person and get 2 really light people because one can not be negative hope this helps

If TQ = 2x - 6 and RQ = x + 3 then the measure of TQ = 12.

The perpendicular bisector theorem states that if a point is on a segment's perpendicular bisector, it is equidistant from the segment's endpoints.

According to the perpendicular bisector theorem, any point on the perpendicular bisector is equidistant from both ends of the line segment on which it is drawn. If a pillar stands at an angle in the center of a bridge, all of its points will be equidistant from the bridge's end points.

Where, TQ = 2x - 6 and RQ = x + 3

By the Perpendicular Bisector Theorem, RQ = TQ.

2x - 6 = x + 3

x = 9

Substitute the value of x in TQ, we get

TQ = 2(9) - 6

= 18 - 6

= 12

Therefore, the value of TQ = 12.

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We have proved that , the ΔABE is congruent to ΔCDE i.e., ΔABE ≅ ΔCDE

It is given that AB║ CD and AB ≅ DC.

We have to prove that ΔABE is congruent to ΔCDE i.e., ΔABE ≅ ΔCDE.

What is the SAS rule of congruency of triangles ?

SAS axiom states that if two sides and the included angle of one triangle are equal to two sides and included angle of other triangle, then triangles are congruent.

As per the question ;

AB║ CD and AB ≅ DC

The two triangles are ΔABE and ΔCDE

So ,

AB = CD (from given data)

also ;

Included angles of two triangles are equal ;

∴

∠ABE = ∠CDE (from given data)

and

BE = BE (common)

∴ Both triangles are congruent to each other ;

i.e.,

ΔABE ≅ ΔCDE.

by SAS axiom.

Thus , the ΔXWZ is congruent to ΔZYX i.e., ΔXWZ ≅ ΔZYX

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We can construct an unlimited number of triangles when given only two sides and no indication of the angle, such as a = 10m and b = 15m

Consider this:

With 10m and 15m side lengths and an angle value ranging from 0 to 360 degrees, how many distinct triangles are possible?

Make one of the triangles with sides of 10 meters, 15 meters, a 30 degree angle, and a third side that may be adjusted to your preferred length using a protractor. A triangle has been built by you.

By changing the length and angle of the third side, we can produce a completely different triangle that is similar to this one.

Keep in mind that you choose the side lengths and angle. This suggests that you might make a different decision. Using the same angles, you can make an infinite number of different triangles.

As a result, using just one angle and one side length, we can create an unlimited number of triangles.

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Answer:

Step-by-step explanation:

Point slope form y-y₁ = m(x-x₁)

y-4 = 6(x + 1)

y-4 = 6x + 6

y = 6x + 10

The glide reflection  ( x + 5.5 , y ) is  that is reflected in the line that separates the left prints from the right prints.

A glide translation is what?

Now, let's assume that the initial position is (x , y) .

Since, the average stride length of a turkey is about 11 inches; also since the turkey has two legs, therefore, the average stride length between the two legs is as shown below:

average = 11/2  = 5.5

Thus, the glide reflection is ( x + 5.5 , y )

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Money received in tenth month: $104.

A formula that describes this arithmetic sequence: [tex]a_n=a_{n-1}+n[/tex], n > 1., where n = number of month.

A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given:

Money received in first four months: $50, $52, $55, %59.

To find: Money received in tenth month.

Finding:

As we can see, the pattern followed here is: increment in each amount received each month by $1. Thus it is an arithmetic progression.

That is: 50, 52 (0+2), 55 (2+3), 59 (2 + 3 + 4) and so on.

Thus, for the tenth month, we can use the formula of recursion, given by: [tex]a_n=a_{n-1}+n[/tex], n ≥ 1.

For a₁ = 50, a₂ = a₁ + 2

=> a₂ = 50 + 2

This way, a₅ = a₄ + 5

=> a₅ = 59 + 5 = 64

a₆ = a₅ + 6

=> a₆ = 64 + 6 = 70

a₇ = a₆ + 7

=> a₇ = 70 + 7 = 77

a₈ = a₇ + 8

=> a₈ = 77 + 8 = 85

a₉ = a₈ + 9

=> a₉ = 85 + 9 = 94

a₁₀ = a₉ + 10

=> a₁₀ = 94 + 10 = 104

Thus, the payment received in tenth month will be $104.

A formula that describes this arithmetic sequence: [tex]a_n=a_{n-1}+n[/tex], n > 1., where n = number of month.

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The ladder can reach 21.17 feet high up of Denise's house.

Given,

The length of ladder Denise used to clean the outside of her second story windows = 24 feet

The distance between the base of the ladder and house = 13 feet

We have to find the height of the house which the ladder can reach:

For that we can use Pythagorean Theorem.

That is,

Hypotenuse² = Altitude² + Base²

Here,

Hypotenuse is the length of the ladder = 24 feet

Altitude is the height of the house ladder can reach = x

Base is the distance between base of the ladder and house = 13 feet

Therefore,

24² = x² + 13²

576 = x² + 169

x² = 576 - 169

x² = 407

x = [tex]\sqrt{407}[/tex]

x = 21.17

That is, the ladder can reach 21.17 feet high up of Denise's house

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Plant P produced 15333 numbers of panels when the two plants together produced 1410 defective panels using unitary method.

It is a method for figuring out a single unit's value, then multiplying that value by itself to get the required value.

Given data

Plant produces defective panels = 1140

Plant A produce = 5%

Plant B produce = 4%

Assume,

Number panels Plant B produce = x

Number panels Plant A produce = x - 6000

[tex]\frac{5}{100}[/tex](x) + [tex]\frac{4}{100}[/tex](x-6000) = 1140

0.05x + 0.04x - 240 = 1140

0.09x = 1380

x = 15333

Plant P produced 15333 numbers of panels when the two plants together produced 1410 defective panels using unitary method.

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Answer:

Step-by-step explanation:

A 270 degrees anticlockwise rotation is the same result as the rotation of the 90 degrees.

Answer:

The area of each cookie is 254.3