Five times of a positive integer is less than twice its square by 3. Write the equation that characterizes this number. (use x for the positive number)

Step-by-step explanation:

I assume the savings rate is the  ' 20 '    of the  50-30-20 rule

20% of 58 000 is

  .20 * $ 58000 = $ 11 600   savings per year

We want to find the values of x and y. To do, we will use some trigonometric ratios to find their values.

Recall that given a triangle of this form

From this triangle we can define the following trigonometric ratios

Using the angle of 45° as a reference, we can write

Then, if we multiply both sides by x, we get

so, if we divide by cos(45) on both sides, we get

Using that

we have that

Now, we want to calculate the value of y. To do so, we can use the tangent as follows

then multiplying both sides by 3*sqrt(2) we get

Using the fact that

we get that

So, from this, we have that x=6 and y=3*sqrt(2)

Answer: 23100 voters

Step-by-step explanation:

42*55000=2310000

2310000/100=23100 voters

The appropriate hypothesis test is a two-sample t-test for independent samples.

The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.

The test statistic can be calculated using the formula:

t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))

Where:

x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.

s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.

n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.

Plugging in the given values:

x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108

t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))

t = 1 / sqrt(0.00926 + 0.0463)

t ≈ 1 / sqrt(0.05556)

t ≈ 1 / 0.2357

t ≈ 4.241

To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).

The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.

Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.

Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.

For more such question on hypothesis

https://brainly.com/question/25263462

#SPJ8

Answer:

25 cents per lemon

Step-by-step explanation:

Simply divide

Answer:

See below

Step-by-step explanation:

When solving real world problems relating to unit price, divide the cost by the amount.

2.5/10

The unit price is 0.25.

-hope it helps

Answer: x = 3

Step-by-step explanation:

6x + 5 = 3x + 14

subtract 5 from both sides:

6x + 5 - 5 = 3x + 14 - 5

6x = 3x + 9

subtract 3x from both sides:

6x - 3x = 3x + 9 - 3x

3x = 9

divide both sides by 3:

3x/3 = 9/3

x = 3

Answer:

x=

Step-by-step explanation:

collect like terms

6x-3x =14x-5

3x=9

x=

The college student can spend $35 in December to achieve his goal of a mean spending of $60 per month for the remaining five months.

To find out how much the college student can spend in December, we need to consider the total amount he has already spent in the first four months and his goal of having a mean spending of $60 per month for the remaining five months.

Let's calculate the total amount spent in the first four months:

Total spent = $65 + $55 + $70 + $75 = $265

The student's goal is to spend a mean of $60 per month for the remaining five months. Since there are five months remaining, the total amount he plans to spend is:

Total planned spending = $60 * 5 = $300

To find out how much he can spend in December, we subtract the total spent in the first four months from the total planned spending:

Amount he can spend in December = Total planned spending - Total spent

= $300 - $265

= $35

For more such information on: mean

https://brainly.com/question/1136789

#SPJ8

Answer:

second option

the reasoning is that its mirrored over the line y = x

and g is only there to confused you a little

1)The number of milk chocolate that sold last week is = \(25\frac{2}{3}\) B is correct

2)white chocolate at the candy store last week is 19.

Last week, a candy store sold \(5\frac{1}{3}=\frac{16}{3}\) pounds of white chocolate. It sold 4 times as much milk chocolate as white chocolate.

The number of milk chocolate did the candy store sell last week.

Since the candy store sold 4 times as much milk chocolate as white chocolate, it sold:

\(4 *\frac{ 19}{3 } =\frac{ 76}{3}\\ pounds\ of\ milk\ chocolate.= 25 \frac{2}{3}\)

option B is correct.

2)

To find out how many more pounds of milk chocolate were sold than white chocolate at the candy store last week, we can subtract the amount of white chocolate sold from the amount of milk chocolate sold:

\(\frac{76}{3} - \frac{19}{3} \\= \frac{57}{3}\\ = 19\ pounds.\)

option C is correct

learn more about the number

https://brainly.com/question/17429689

#SPJ1

Answer: One root

Reason:

The term "root" refers to the x intercept.

We plug in y = 0 and solve for x to get the x intercept

y = 2x-12

0 = 2x-12

2x = 12

x = 12/2

x = 6

The root is 6.

The single x intercept is located at (6,0).

In 2021 a 30-second commercial during the Super Bowl cost $5.6 million and the CPI was approximately 271.4. Assuming that price changes are simply due to inflation, when the CPI was 33.4 the estimated cost of a 30-second commercial during the first Super Bowl in 1967 would be approximately $68,900.

To calculate the cost of the 30-second commercial during the first Super Bowl in 1967, we can use the concept of inflation and the Consumer Price Index (CPI).

The CPI measures the average price change of a basket of goods and services over time. By comparing the CPI values of two different years, we can estimate the relative increase in prices due to inflation.

Given data:

Cost of a 30-second commercial in 2021 = $5.6 million

CPI in 2021 = 271.4

CPI in 1967 = 33.4

To calculate the cost in 1967, we need to adjust the 2021 cost for inflation using the CPI ratio:

Cost in 1967 = (Cost in 2021) * (CPI in 1967 / CPI in 2021)

Cost in 1967 = ($5.6 million) * (33.4 / 271.4)

Cost in 1967 ≈ $0.689 million

To round the cost to the nearest hundred dollars, we can multiply the cost by 100 and round it to the nearest whole number:

Cost in 1967 ≈ $68,900

For more such information on: CPI

https://brainly.com/question/1889164

#SPJ8

a) The first mistake that Fatima made was in the first step.

b) She incorrectly changed the place value of 0.02 in the subtraction operation.

c) Based on the correct subtraction operation and place value in step one, Fatima has 0.395 kilograms of rose petals left.

The place value shows the position of a digit in a number.

The right place values are essential for correct mathematical operations.

The quantity of rose petals that Fatima bought initially = 0.454 kilograms

The quantity of rose petals used for making rose water = 0.02 kilograms

The remaining quantity of rose petals = 0.434 (0.454 - 0.02)

The additional quantity of rose petals Fatima bought = 0.056

The quantity of rose petals used for making the second rose water = 0.095

The quantity of rose petals left = 0.395 (0.434 + 0.056 - 0.095)

Learn more about place values at https://brainly.com/question/1654524.

#SPJ1

Answer:

It means Progressing

In Progress

Step-by-step explanation:

Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

Answer:

the correct answer is C

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

Answer:

The III

Step-by-step explanation:

go right three times and down four times

The Dividend per Shareholder in 2017 is $20.

As, Dividend per Shareholder = Profit / Number of Shareholders

Since the number of shareholders is assumed to have remained unchanged during the period 2017-2020, we can calculate the dividend per shareholder in 2017 using the profit value for that year.

Based on the given table, the profit for 2017 is $7,000.

Dividend per Shareholder in 2017

7000/x = 15500 / 44.29

7000/x = 349.966

x = 7000/349.966

x= 20.01

Learn more about Shares problem here:

https://brainly.com/question/30475800

#SPJ1

Answer:

Scalene Right

Step-by-step explanation:

Isosceles right: An isosceles right triangle is a triangle that has 90 degrees as one of its angles and has 2 congruent sides. Based off the image, it appears that none of the sides are equal in length, so this is incorrect.

Scalene Acute: A scalene acute triangle is a triangle that has all angles under 90 degrees and has different sides. While the given triangle has unique sides, one angle (90 degrees) is not under 90 degrees, so this is incorrect.

Isosceles Acute: An isosceles acute triangle is a triangle that has all angles under 90 degrees and has two congruent sides. This triangle doesn't have 2 equal sides or all angles under 90 degrees, so this is incorrect.

Scalene Right: A scalene right triangle is a triangle that has 90 degrees as one of its angles and has all unique sides. This triangle has a 90 degree angle and unique sides, so this is correct.

The shape of the parallelogram with vertices P(−4,0), Q(0,4), R(4,0), and S(0,−4) is a square

In order to get the shape using the vertices that we have, we would have to find the length of the diagonals

We have P(−4,0), Q(0,4), R(4,0), and S(0,−4)

The length of the diagonal PQ is given as:

PQ = \(\sqrt{(0-4)^2+(4-0)^2}\)

= \(\sqrt{32}\)

Next we have to solve for the length of the diagonal RS

RS = \(\sqrt{(4-(-4))^2+(0-(-4))^2\)

RS = \(\sqrt{32}\)

Since PQ = RS we would have to conclude that the shape is a square.

Read more on parallelograms here: https://brainly.com/question/24291122

#SPJ1

It took Emily 33.4 minutes to make dinner.

A mixed number is a kind of fraction that also has a proper fraction and a whole number. The number of whole units is represented by the whole number, and the fraction of a unit is represented by the proper fraction.

To solve the problem, we have to convert the mixed number  \(9 \frac{1}{10}\)   to a decimal number:

⇒ \(9 \frac{1}{10} = 9 +\frac{1}{10} = \frac{(9*10)+1}{10}\)

⇒ \(\frac{91}{10}\)  =  9.1

This means that Emily finished making dinner 9.1 minutes sooner than the cake.

To find out how long it took Emily to make dinner, we can subtract 9.1 from the cake baking time:

⇒ 42.5 - 9.1 = 33.4 minutes

Therefore, it took Emily 33.4 minutes to make dinner.

To know more about mixed number, visit:
https://brainly.com/question/414559
#SPJ1

Answer:

$6.47

Step-by-step explanation:

set up a ratio

\(\frac{1.99}{1} =\frac{x}{3.25}\)

cross multiply

6.47=x

The exponential function that models U.S. cellphone usage over that time period, in millions, is:

\(A(t) = 43(1.23)^t, 0 \leq t \leq 6\)

An increasing exponential function is modeled by:

\(A(t) = A(0)(1 + r)^t\)

In which:

In this problem:

Then, considering the function is valid between 2010(t = 0) and 2016(t = 6), it is given by:

\(A(t) = 43(1.23)^t, 0 \leq t \leq 6\)

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

9. answer: -3, 10. answer: 5

The given expression is equivalent to the expression of the fraction \(\dfrac{2^{\frac{10}{9}}}{3}\).

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The given expression as

\(\dfrac{(\dfrac{8}{12 } \times 3)^1 }{3} \times 2^\frac{1}{9}\)

Apply the arithmetic operation and reduce the fractions,

\(\dfrac{(\dfrac{2}{3 } \times 3)^1 }{3} \times 2^\frac{1}{9}\)

\(\dfrac{2}{3 } \times 2^\frac{1}{9}\)

\(\dfrac{2^{1+\frac{1}{9}}}{3}\)

\(\dfrac{2^{\frac{10}{9}}}{3}\)

Therefore, the given expression is equivalent to the expression of the fraction \(\dfrac{2^{\frac{10}{9}}}{3}\).

Learn more about the fractions here:

brainly.com/question/10354322

#SPJ1

Number of People who knows the Code are 6401

What is Linear Equation in Two Variable?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let, Number of People who kows the Code be x

Number of Peoplee who do not know the Code be y

According to the Question:

x + y = 7338 ----------(i)

2x + 5y = 17487 ----------(ii)

Multiplying Equation (i) by 2

2x + 2y = 14676 ---------(iii)

Substracting Equation (iii) from Equation (ii)

3y = 2811

y = 937

This means x = 6401

To learn more baout Linear Equation in Two ariables from the given link

https://brainly.com/question/24085666

#SPJ1

Answer:

Y = -½x + 3/2

Y = -3x + 5

Y = 1/4x - 3¼

Step-by-step explanation:

Parallel implies they have the same gradient

Perpendicular implies the gradient is a negative reciprocal of the other.

The equation is proved.

G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)

We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)

in the given equation, we get

\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)

\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)

\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)

\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)

\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)

`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)

For `LHS`, using identity

\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)

\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)

\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)

For more question equation

https://brainly.com/question/17145398

#SPJ8

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

Learn more about rotation here:

https://brainly.com/question/30337265

#SPJ1

The unit rate of discovery of the new species of marine animals are; 2000 per year.

There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.

We have been given about 4000 new species of marine animals were discovered in the last 2 years.

We need to find the unit rate of discovery.

Total = 4000 new species

Time = 2 year.

Unit rate = new species of marine animals/ time period

Unit rate = 4000/ 2

Unit rate = 2000/1

Therefore, the unit rate of discovery of the new species of marine animals are; 2000 per year.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ1

Answer:

y=-5/2x+16

Step-by-step explanation:

:)