Mahni plans to spend the next 12 weeks saving some of her income. She will save $x a week for the first 6 weeks and then $(2x − 30) a week for the following 6 weeks. If she managed to save $213 in the first six weeks, how much did she save in total over 12 weeks? Explain correctly how to do this to get Brainliest ANSWER

Answer:  resultant

Step-by-step explanation:

The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...

If 2 is a_0, 6 is a_1, 18 is a_2, etc.

a_n=2*3^n

For the 14th term, which is a_13, the value is 2*3^13.

Using a calculator because I'm too lazy to calculate 3^13 sorry, we can get.

3188646

The required 14th term will be 3188646 in the given geometric sequence.

The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

Where a is the first term, r is the common ratio

The geometric sequence is given in the question, as follows:

2, 6, 18,...

We have to determine the 14th term of the given geometric sequence.

As per the given geometric sequence,

The first term a = 2.

The common ratio r = 6/2 = 3

14th term = arⁿ⁻¹

Substitute the value of a = 10, r = -2, and n = 12 in the formula,

14th term = 2(3)¹⁴⁻¹

14th term = 2(3)¹³

14th term = 2(1594323)

14th term = 3188646

Thus, the required 14th term will be 3188646.

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Answer:

US $2.50

Step-by-step explanation:

Divide 15 by 6 to get 2.5. Then divide 2.5 by 1(THIS PART IS ESSENTIAL, YOU WILL NOT ALWAYS BE LUCKY ENOUGH TO HAVE A 1 HERE), which is still 2.5.

To check your work, multiply 6 by 2.5 and get $15.

The value of TT $15.00 in US dollars based on the given ratio will be $2.5 US dollars.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

TT $6.00 is equivalent to US $1.00

TT $1 will be equivalent to $(1/6) US by ratio.

Multiply both sides by 15

TT $15.00  = $(1/6)15 US

TT $15.00  = $2.5 US dollars.

Hence "The value of TT $15.00 in US dollars based on the given ratio will be $2.5 US dollars".

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The number line of y < 1/2 is repesented below

From the question, we have the following parameters that can be used in our computation:

y < 1/2

A number line represents all real numbers on a line and is usually represented as a horizontal line with numbers increasing from left to right.

The symbol "<" in the equation y < 1/2 means "less than."

So, all values of y that are less than 1/2 would be graphed to the left of 1/2 on the number line.

The number line would look like this:

   -1.0         -0.5           0.0         0.5         1.0

   ____________|______________|____________|____________

    y < 1/2                                 1/2

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Answer:

B

Step-by-step explanation:

The perpendicular is sin(43)*39=21.82. Next tan(32)=x/21.82. x=21.82*tan(32)=13.6

The value of x in the given question is 16.6

A right angle triangle has 3 sides opposite is the side opposite to the angle formed by two adjacent sides.hypotenuse is the largest side and adjacent is the remaining side.

Assuming height of the triangle = y

Sin∅ = opposite/hypotenuse

sin43° = y/39

y= 39sin43°

y = 26.6
From this we will solve the value of x

tan∅ = opposite/adjacent

here adjacent = 26.6 and opposite = x

tan32° = x/26.6

x = 26.6tan32°

x = 16.6

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The inference that in this age group, women are at greater risk of developing asthma is incorrect, as the study only provides information on the prevalence of asthma in men and women and does not establish causality or risk.

The inference that women are at greater risk of developing asthma cannot be made solely based on the information given in the statement. While the prevalence of asthma is higher among women (9 per 100) than among men (6 per 100), additional statistical analyses such as calculating relative risks or conducting hypothesis tests are required to determine if this difference is statistically significant and to establish a causal relationship between gender and asthma.

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Answer:

67 degrees.

Step-by-step explanation:

The two quadrilaterals are congruent, with angle T corresponding to angle F, angle U corresponding to angle C, angle V corresponding to angle D, and angle W corresponding to angle E.

A quadrilateral's interior angles add to be 360 degrees.

x + 138 + 67 + 88 = 360

x + 293 = 360

x = 67

So, angle D is 67 degrees.

Hope this helps!

The area of each of the missing faces is 40 m².

The length of each of the missing faces is 10 m.

The missing dimension is 10 m by 4 m.

Area is the region bounded by a plane shape.

To calculate the area of each missing face, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

And the length of each of the missing edge can be calculated using the formula below

Formula:

Where:

From the diagram in the question,

Given:

Substitute into equation 2

Hence, the length is 10 m.

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Answer:

vertical

adjacent

linear

Step-by-step explanation:

The measures of angles of the kite are ∠JHL = 91°

Given data ,

Let the kite be represented as KLHJ

where the measure of angle ∠HLK = 128°

And , the measure of ∠JKL = 50°

Now , kites must have two sets of equivalent adjacent sides & one set of congruent opposite angles

So , the angles are

128° + 50° + 2x = 360°

On simplifying , we get

2x = 360° - 178°

2x = 182°

Divide by 2 on both sides , we get

x = 91°

Hence , the angle of kite is 91°

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If a  random variable X follows a binomial distribution with n=30, p=0.35.

a) The SD is 0.087

c) The distribution is skewed

f) The expected value is 10.5

The Correct options are a), c), and f).

For a binomial distribution with parameters n and p, the standard deviation (SD) is calculated as √(n * p * (1 - p)). In this case, the SD would be √(30 * 0.35 * (1 - 0.35)) ≈ 2.61. Therefore, option b) is incorrect.

Binomial distributions are generally skewed, especially when the probability of success (p) is far from 0.5. In this case, p = 0.35, so the distribution would be skewed. Thus, option c) is correct.

The expected value (mean) of a binomial distribution is given by n * p. Therefore, for n = 30 and p = 0.35, the expected value would be 30 * 0.35 = 10.5. Hence, option f) is correct.

Regarding the symmetry of the distribution, binomial distributions are typically roughly symmetric when p is close to 0.5. However, in this case, p = 0.35, which indicates some asymmetry. Thus, option e) is incorrect.

Therefore, the correct options are a), c), and f) for this probability distribution.

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Answer:

10

Step-by-step explanation:

Let's break it down:

Answer:

10

Step-by-step explanation:

Step 1: 1/3 of 30 cupcakes for vanilla icing

=10 cupcakes for vanilla icing

Step 2: 30 - 10 cupcakes = 20 remaining cupcakes

1/2 of 20 cupcakes for chocolate icing

=10 cupcakes for chocolate icing

Step 3: 20 - 10 cupcakes= 10 remaining

•

• • 10 cupcakes will get strawberry icing

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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Answer:

The answer is quad 1 and quad 2 are congruent because quad 2 can be created rotating and then translating quad 1

Step-by-step explanation:

The rational number that represents the average temperature change per hour is 28/6.

Any number that can be represented as the ratio of two integers and where the denominator is not zero is referred to as rational.

Given that, the temperature dropped from 21 degrees to -7 degrees over the course of 6 hours.

The change in temperature is:

21 - (-7)

= 21 + 7

= 28

The average temperature change per hour is:

28/6

Hence, the rational number that represents the average temperature change per hour is 28/6.

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The expression whose value is a rational number will be √(4)² and √225+ √169. Then the correct options are A and C.

If the value of a numerical expression is terminating then they are the rational number then they are called a rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

Let's check all the options, then we have

A. √(4)² = 4, is a rational number.

B. √49 + √7 = 7 + √7, is an irrational number.

C. √225+ √169 = 25 + 13, is a rational number.

D. √2 x √121 = 11√2, is an irrational number.

E. √11 x 16 = 4√11, is an irrational number.

The expression whose value is a rational number will be √(4)² and √225+ √169. Then the correct options are A and C.

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Answer:

MP= (-6,-1)

Step-by-step explanation:

midpoint formula: \((\frac{x^{1}+x^{2} }{2})(\frac{y^{1} + y^{2} }{2} )=MP\)

(-7,-7) (\(x^{1}\),\(y^{1}\))

(-5,5)  (\(x^{2}\),\(y^{2}\))

\((\frac{-7+-5}{2}) \\ (\frac{-7+5}{2})\)= -7+-5/2= -12/2= -6

-7+5/2= -2/2= -1

The quadratic equation with a sum of roots equal to -3 and a product of roots equal to -18 can be written as x^2 - 3x - 18 = 0.

To find the quadratic equation with a given sum and product of the roots, we can use the fact that the sum of the roots of a quadratic equation \(ax^2 + bx + c = 0\) is -b/a, and the product of the roots is c/a.

Let's denote the roots as r and s. We are given that the sum of the roots is -3 and the product of the roots is -18.

From the properties of quadratic equations, we have the following equations:

r + s = -3    (sum of roots)

r * s = -18   (product of roots)

To write the quadratic equation, we need to express it in the form \(ax^2 + bx + c = 0.\)

We can rewrite the sum of roots equation as:

r + s = -3

=> r = -3 - s

Substituting this expression for r in the product of roots equation, we have:

(-3 - s) * s = -18

Expanding and rearranging the terms, we get:

s^2 + 3s - 18 = 0

This is the quadratic equation in standard form. Therefore, the equation is x^2 - 3x - 18 = 0.

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Answer:

x = 38°, y = 68°, z = 55°

Step-by-step explanation:

This would be easier to explain if the vertices were labelled , however

Angles at the circumference of the circle subtended on the same arc are congruent.

x and 38 are subtended on the same arc

y and 68 are subtended on the same arc

z and 55 are subtended on the same arc

Thus

x = 38°, y = 68° and z = 55°

1) Number sense, arithmetic operations, algebra, geometry, data analysis, and probability are some of the topics that are commonly covered in math classes.

The need of developing problem-solving and procedural fluency skills is underlined. To ensure they have a solid basis for future learning, students may also receive training on arithmetic concepts they missed in earlier grades.

2) The use of real-world issues, direct education, cooperative learning, and the use of technology to aid learning are some particular methods of mathematical instruction that are encouraged.

Additionally, emphasis is placed on encouraging a growth mentality and a positive attitude toward mathematics.

3) Direct instruction, visual aids like graphs and diagrams, manipulatives and hands-on activities, scaffolding, and systematic review and practice are some specific techniques used to teach fundamental mathematical instruction.

In order to promote critical thinking and the growth of students' problem-solving abilities, teachers may also employ questioning strategies.

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Answer:

C) 14

Step-by-step explanation:

_______________

Answer:

30%

Step-by-step explanation:

The price for each shirt to buy is: $ 700/100 = $ 7 / each

Selling price is: $ 10 / each

So the difference between the selling and buying prices is: $ 10 - $ 7 = $ 3

So 100 each, the interest is: $ 3 X100 = $ 300 => 30%

Respuesta:

Monto descontado = 5,418pesos

Nuevo precio de la televisión = 10.062 pesos

Explicación paso a paso:

Costo inicial de televisión = 15,480 pesos

Porcentaje de descuento = 35%

Cantidad descontada = 35% de 15,480

Cantidad descontada = 0.35 * 15,480

Monto descontado = 5,418pesos

Nuevo precio de la televisión = 15.480 - 5.418

Nuevo precio de la televisión = 10.062 pesos

Tariq paid $35.52 for the sunglasses after the discount and processing fee, rounded to the nearest cent. To get how much Tariq paid for the sunglasses after the discount and processing fee, we'll follow these steps:

1. Calculate the 20% discount on the original price of $37.
2. Subtract the discount from the original price to get the price after the discount.
3. Calculate the 20% processing fee on the price after the discount.
4. Add the processing fee to the price after the discount to get the final price Tariq paid. Then, round to the nearest cent.
Step 1: 20% of $37 = 0.20 * 37 = $7.40 (discount)
Step 2: $37 - $7.40 = $29.60 (price after discount)
Step 3: 20% of $29.60 = 0.20 * 29.60 = $5.92 (processing fee)
Step 4: $29.60 + $5.92 = $35.52 (final price)
So, Tariq paid $35.52 for the sunglasses after the discount and processing fee, rounded to the nearest cent.

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Area = ∫[0,1] 2π√(1 - y²) dy.BY evaluating this integral, the area cut out of the cylinder x² + z² = 1 by the cylinder x² + y² = 1 is π/2 square units.

To find the area cut out of the cylinder x² + z² = 1 by the cylinder x² + y² = 1, we need to determine the intersection curve between these two surfaces and then calculate the area of the region enclosed by the curve.

First, let's set x² + z² = 1 equal to x² + y² = 1 and solve for the common curve. By subtracting x² from both equations, we have z² = y², which implies z = ±y.

The intersection curve is a pair of lines in the xz-plane given by z = y and z = -y. These lines intersect at the origin (0, 0, 0).

Next, we need to determine the limits of integration for finding the area. Since the cylinders are symmetric about the x-axis, we can focus on the region where y ≥ 0.

For a given y in the interval [0, 1], the x-coordinate of the points on the curve is given by x = ±√(1 - y²).

To calculate the area, we integrate the circumference of the curve at each value of y and sum them up. The circumference of a circle with radius r is given by 2πr. In this case, the circumference is 2π√(1 - y²).

The area can be calculated as the integral of 2π√(1 - y²) with respect to y over the interval [0, 1]:

Area = ∫[0,1] 2π√(1 - y²) dy.

By evaluating this integral, the area cut out of the cylinder x² + z² = 1 by the cylinder x² + y² = 1 is π/2 square units.

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One change that can be made to one value in Dylan's plan to ensure the assignment is completed is to change hours worked to 4. 20 hours a day.

The current number of paper flowers that the team can make is:

= 4 x 3 hours a day x 12 people x 5 days per week x 2 weeks

= 1, 440 flowers

One change that can be made would be to increase the number of hours worked to 4. 20 hours.

This would give a total number of flowers of :

= 4 x 4. 20 hours a day x 12 people x 5 days per week x 2 weeks

= 2, 016 flowers

They would then meet the target.

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Answer:

x = 2

Step-by-step explanation:

2x−3-x+4=3

combine like terms:

x + 1 = 3

x = 2

The equation is true for the value of x = 2.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given equation is as given below.

2x − 3 - x + 4 = 3

We have to operate the like terms together.

Here 2x and x are like terms and 3 and 4 are like terms.

(2x - x) - 3 + 4 = 3

x - 3 + 4 = 3

x + 1 = 3

Subtracting 1 on both sides,

x = 3 - 1

x = 2

Hence the equation is true for x = 2.

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