Solve this quadratic equation.

6x2 - 2x = 7

Answer: No solution

Step-by-step explanation: If you are doing the Unit Test on edge2020 then D No solution is the answer.

Answer:

the answer is no "solution"

Unit Test on Edge 2023

Answer:

g(n)=80×3^(n-1)

Step-by-step explanation:

First term (a)=80

The ant population tripled every week.

So, the population of ant after 1st week will be (80 × 3) = 240

After 2 weeks, the population triples again.

We have, (240 × 3) = 720

Common ratio (r)=720/240

=3

r=3

The ants population is increasing in a geometric progression

A geometric progression is given by

g(n)=a × r^(n-1)

Substitute values of a and r to get the explicit formula

g(n)=a × r^(n-1)

g(n)=80×3^(n-1)

Answer:

Explained below.

Step-by-step explanation:

The z-test statistic is given as follows:

[tex]Z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}[/tex]

Here,

[tex]\bar X=\text{Sample Mean}\\\\\mu=\text{Population Mean}\\\\\sigma=\text{Population standard deviation}\\\\n=\text{Sample size}[/tex]

The p-value is well-defined as per the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or greater than what was the truly observed value of the test statistic.

(i)

The difference between the sample mean and the original population mean are directly proportional to the z-test statistic.

So, increasing the  difference between [tex]\bar X[/tex] and [tex]\mu[/tex] will lead to an increase in the z-score.

And as the Z-score increases the p-value of the test decreases.

Thus, the complete statement is:

"Increasing the difference between the sample mean and the original population mean will result in an increase in the absolute value of z, and a decrease in the probability of obtaining a sample with that mean."

(ii)

The population standard deviation is inversely proportional to the z-test statistic.

So, increasing the population standard deviation will lead to a decrease in the z-score.

And as the Z-score decreases the p-value of the test increases.

Thus, the complete statement is:

"Increasing the population standard deviation will result in a decrease in the absolute value of z, and an increase in the probability of obtaining a sample with that mean"

(iii)

The number of scores in the sample is directly proportional to the z-test statistic.

So, increasing the number of scores in the sample will lead to an increase in the z-score.

And as the Z-score increases the p-value of the test decreases.

Thus, the complete statement is:

"Increasing the number of scores in the sample will result in an increase in the absolute value of z, and an decrease in the probability of obtaining a sample with that mean."

Answer: Sorry dont know

Step-by-step explanation:

Answer:

The number of deliveries that are predicted to be made to homes during a week with 50 deliveries to business is 87 deliveries

Step-by-step explanation:

The data categorization are;

The number of home deliveries = x

The number of delivery to businesses = y

The line of best fit is y = 0.555·x + 1.629

The number of deliveries that would be made to homes when 50 deliveries are made to businesses is found as follows;

We substitute y = 50 in the line of best fit to get;

50 = 0.555·x + 1.629 =

50 - 1.629 = 0.555·x

0.555·x = 48.371

x = 48.371/0.555= 87.155

Therefore, since we are dealing with deliveries, we approximate to the nearest whole number delivery which is 87 deliveries.

Answer:87

Step-by-step explanation:

it's a quadrilateral

interior angles add up to 360

x + 2x - 75 + x + x - 35 = 360

5x - 110 = 360

5x = 360 + 110

x = 470 ÷ 5

x = 95

and x - 35 = 60

2x - 75

= 190 -75

= 115

Answer:

see explanation

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Sum the given angles and equate to 360

x + x + x - 35 + 2x - 75 = 360, that is

5x - 110 = 360 ( add 110 to both sides )

5x = 470 ( divide both sides by 5 )

x = 94 , then

x - 35 = 94 - 35 = 59

2x - 75 = 2(94) - 75 = 188 - 75 = 113

Thus

The 4 angles are 59°, 94°, 94°, 113°

Answer:

A = 49[tex]\pi[/tex]

Step-by-step explanation:

First, we need to find the length of the wire. We can calculate this because we are given the area of the square, so we can work backwards.

Use the area formula and plug in the numbers:

A = s²

121 = s²

11 = s

We can calculate the length of the wire by multiplying 11 by 4, which is 44.

Now, we know the circumference of the circle is 44 units because that is how long the wire is.

We can work backwards again to find the radius, using the circumference formula:

C = 2[tex]\pi[/tex]r

44 = 2[tex]\pi[/tex]r

22 = [tex]\pi[/tex]r

7 = r

Now, we can find the area of the circle:

A = [tex]\pi[/tex]r²

A = [tex]\pi[/tex](7)²

A = 49[tex]\pi[/tex]

Answer:

120

Step-by-step explanation:

12 x 6 = 72

8x(12/2)=48

72+48 =120

Answer:

Subtract [tex]3\frac{1}{5}[/tex] from both sides.

Step-by-step explanation:

We want to isolate the variable [tex]n[/tex]. To do this, we have to get rid of [tex]3\frac{1}{5}[/tex], which we can do by subtracting itself, since it equals 0.

[tex]3\frac{1}{5} + n =9[/tex]

[tex]n = 5\frac{4}{5}[/tex]

Answer:

ITS A

Step-by-step explanation:

Answer:

Z = 0.87

Explanation:

Given the following data;

Sample 1:

n1 = 30

Mean, X = 2.36

Standard deviation, Ox = 0.96

Sample 2:

n2 = 60

Mean, Y = 2.19

Standard deviation, Oy = 0.66

The formula for test statistics for two population is;

[tex]Z = \frac{X-Y}{\sqrt{(\frac{Ox^2} {n_1} } +\frac{Oy^2}{n_2} )}}[/tex]

Substituting the values, we have;

[tex]Z = \frac{2.36-2.19}{\sqrt{(\frac{0.96^2} {30} +\frac{0.66^2}{60} )}}[/tex]

[tex]Z = \frac{0.17}{\sqrt{(\frac{0.9216} {30} +\frac{0.4356}{60} )}}[/tex]

[tex]Z = \frac{0.17}{\sqrt{(0.03072 +0.00726)}}[/tex]

[tex]Z = \frac{0.17}{\sqrt{0.03798}}[/tex]

[tex]Z = \frac{0.17}{0.19488}[/tex]

Z = 0.8723

The test statistics to 2 d.p is 0.87

Therefore, Z = 0.87

Answer:

Cantidad que Lupe dejó en casa con inicialmente = 127.5 soles.

Amount that Lupe left home with initially = 127.5 soles.

Step-by-step explanation:

Pregunta correcta

Lupe va al mercado y compra abarrotes con los 2/5 de su dinero ; luego va a la seccion de carnes y compra con los 1/3 de lo que le queda ; si gasta 3 soles en pasaje de ida y vuelta ; ¿con cuanto dinero salio de su casa si llega de regreso a su casa con 48 soles?

Solución

Deje que la cantidad de dinero que Lupe dejó en casa sea x soles.

Lupe compra comestibles con 2/5 de su dinero. Es decir, Lupe gasta (2/5) × x = (2x/5)

En este punto, Lupe se queda con

x - (2x/5) = (3x/5) soles.

Lupe luego gasta 1/3 de lo que queda en la carne

(1/3) de lo que queda = (1/3) × (3x/5) = (x/5)

Lo que significa que Lupe gasta (x/5) soles en la sección de carne.

Cantidad restante después de la sección de carne = (3x/5) - (x/5) = (2x/5)

Lupe gasta 3 soles en el viaje de ida y vuelta al mercado y se queda con 47 soles después de todo.

(2x/5) - 3 = 48

(2x/5) = 48 + 3 = 51

2x = 5 × 51 = 255

2x = 255

x = (255/2) = 127.5 soles

¡¡¡Espero que esto ayude!!!

English Translation

Lupe goes to the market and buys groceries with 2/5 of her money; then he goes to the meat section and buys with 1/3 of what he has left; if you spend 3 soles on a round trip ticket; How much money did you leave your home with if you arrive home with 48 soles?

Solution

Let the amount of money Lupe left home with be x soles.

Lupe buys groceries with 2/5 of her money

That is, Lupe spends (2/5) × x = (2x/5)

At this point, Lupe is left with

x - (2x/5) = (3x/5) soles.

Lupe then spends 1/3 of what is left on meat

(1/3) of what is left = (1/3) × (3x/5) = (x/5)

Meaning that Lupe spends (x/5) soles at the meat section.

Amount left after the meat section = (3x/5) - (x/5) = (2x/5)

Lupe spends 3 soles on round ticket trip to market and is left with 47 soles after everything.

(2x/5) - 3 = 48

(2x/5) = 48 + 3 = 51

2x = 5 × 51 = 255

2x = 255

x = (255/2) = 127.5 soles

Hope this Helps!!!

Answer:

26

Step-by-step explanation:

Because You have to just do the perimeter by counting the sides

Answer:

B

Step-by-step explanation:

To calculate the square feet of fertilizer he would be needing to cover his garden, what we need to do is simply find the area of the garden

Mathematically that would be the length of the garden multiplied by its width since it is a rectangular sharped garden

The area is thus;

33 * 39 = 1287 ft^2

Answer/Step-by-step explanation:

The scale factor is missing in the question. However, here's how to find the length of the new radius if given a known scale factor.

Length of new radius = length of the radius of the dilated circle × scale factor of dilation

Length of the radius of the dilated circle is given as 18m

Therefore,

Length of new radius = 18m × scale factor.

If the scale factor is a fraction, it means the new length would be smaller than 18m. But if the scale factor is a whole number, the new length of the radius would be greater than 18m.

Let's assume any of the following scale factors was what was given in the question:

*If scale factor given is ½, new radius length = 18m × ½ = 9m

*If scale factor given is 2, new radius length = 18m × 2 = 36m

━━━━━━━☆☆━━━━━━━

▹ Answer

Slope = 1

▹ Step-by-Step Explanation

y = mx + b

'm' represents the slope. since there is no number before the x, the coefficient will always be 1. therefore, the slope is 1.

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Table 4 represents a function.

Step-by-step explanation:

Functions require that each x-value has a unique y-value. In the other tables you see a value repeated in the x column, with a different value in the y column.

Answer: A

Step-by-step explanation:

The slope which is also known as gradient can be Mathematically defined as change in dependent variable divide by the change in independent variable.

Slope can rate of increase when it is positive. And rate of decrease when it is negative.

Since the slope of the line through the points is 2. Which is positive, the correct option that describes how the slope relates to the height of the water in the pool is therefore;

The height of the water increases 2 inches per minute. Which is option A

Answer:I think it’s 7x^3

Step-by-step explanation:

Step 1) Check if the given triangle lengths form a right triangle

3^2 + 5^2 = 6^2

9 + 25 = 36

36 = 36

Step 2) Solve for the area of the triangle

Formula: A = 1/2 x base x height

A = 1/2 x 3 x 5

A = 1/2 x 15

A = 7.5 m^2

Step 3) Solve for the perimeter of the triangle

Formula: P = sum of all sides

P = 3 + 5 + 6

P = 14 m

Ravi needs to plant 7.5m^2 of grass and put up a fence that is 14m in total length.

Hope this helps!! :)

triangle is the best answer

Answer:

Step-by-step explanation:

Answer:

The correct option is;

A table with 6 columns and 2 rows. The first row, x, has entries, negative 3, negative 1, 2, 5, 10. The second row, y, has entries, negative 7.5, negative 2.5, 5.0, 12.5, 25

Please find attached the graphs of the table data

Step-by-step explanation:

Each of the given table data of in the tables are analysed to find direct variation;

Table 1

x,               -3,                 -1,                 2,                5,                10

y,              -4.5,              -3.0,             -1.5,             0.0,              1.5              

-4.5/-3  = 1.5 ≠ -3.0/-1 = 3

No direct variation

Table 2      

x,             -5.5,               -4.5,            -3.5,            -2.5,             -1.5

y,              10,                   8,                 6,              4,                  2

10/(-5.5) = -20/11  ≠ 8/(-4.5) = -16/9

However, 10/(-5.5 + 0.5) = -2 = 8/(-4.5 + 0.5) = -2

Adjusted direct variation

Table 3              

x,              -5.5,               -5.5,             -5.5,           -5.5,            -5.5

y,              -3,                    -1,                 2,                5 ,              10                  

-3/(-5.5) ≠ -1/-5.5

No direct variation

Table 4

x,              -3,                    -1,                2,                  5,             10

y,              -7.5,                 -2.5,            5.0 ,              12.5,         25  

 -7.5/-3 = 2.5 = -2.5/(-1) = 5.0/2 = 12.5/5 =25/10

Direct variation exists        

Answer:

so D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You have to use cos because you are using the adjacent and hypotenuse

So

cos38=x/14

multiply each side by 14

14cos38

Answer:

[tex]f^-^{1} (x)=\frac{19}{x}[/tex]

Step-by-step explanation:

To find the inverse of this function, switch the variables like this:

[tex]\frac{19}{x}\\\\x=\frac{19}{y} \\[/tex]

Then, solve for y, like this:

[tex]y= \frac{19}{x} \\[/tex]

Replace y with [tex]f^-^{1} (x)[/tex].

[tex]f^-^{1} (x)=\frac{19}{x}\\[/tex]

Answer:

true

Step-by-step explanation:

because a number is always greater than, equal to, or less than another number

Answer:

256

Step-by-step explanation:

the first digit cannot be 0, so there are only 4 even numbers

For the second, third, and fourth digits, there are 5 available numbers.

Thus, the number of 4-digit numbers containing only even digits is 4 x 5 x 5 x 5 = 500

2nd place ( hundred place) can also be filled up by 4 number : 2, 4, 6, 8 and same logic applies to 3rd ( 10th ) and 4th( unit) .

so number of ways is 4*4*4*4= 256 ways .

Answer:

0.0398 dollars

Step-by-step explanation:

We are told in the question that

An apple picker in China earns an average wage of 45 cents per hour.

Mathematically

1 hour= 45 cents............ Equation 1

An apple picker can harvest about 2.0 bushels of apples each hour.

Mathematically

2.0 bushels = 1 hour ..............Equation 2

We are told that each bushel contains about 126 apples

1 bushel = 126 apples

2 bushels =

126 × 2

= 252 apples

Combining Equation 1 and 2 together,

We can say

An apple picker in 1 hour harvests 2 bushels of apples which is 252 apples and is paid 45 cents

1 hour = 2 bushels of apples

1 hour = 252 apples

1 hour = 45 cents

Hence we can say fro harvesting 252 apples, an apples picker is paid 45 cents

Mathematically,

252 apples = 45 cents

One gallon of apple juice requires 40 apples

We are to calculate the labor cost of one gallon of apple juice in dollars

If : 252 apples = 45 cents

40 apples = X cents

Cross Multiply

40 × 25 = 252 × X

X = (40× 25) ÷ 252

X = 3.984063745 cents

Hence the labor cost of 40 apples = 3.984063745 cents

Approximately = 3.98 cents

Converting 3.98 cents to dollars

100 cents = 1 dollar

3.98 cents =

= 3.98/100

= 0.0398 dollars.

Therefore, the labor cost of one gallon of apple juice in dollars is 0.0398 dollars.

Answer: it seems to be D, but the equation makes practically no sense!

The value of the factor changes for the different amounts of service years and vacation weeks.

Step-by-step explanation: The equation means that the employee is trying to figure out the value of the "v-factor" for how vacation time is earned.

If you substitute the number of service years into the left side of the "formula" and vacation weeks on the right side, then solve for "v", v(15)=5 you get v= 1/3 or 0.33

If you substitute other numbers, like v(2)=2, so v= 1 then v(30) = 8, v = 4/15 or 0.2667. You see the factor's value decreases. The company is much more generous to to employees with one or two years of service than with the older ones.

Answer:

12.65 miles

Step-by-step explanation:

he runs on a track that is 2 1/2 miles per lap and he runs 3 1/2 laps:

2 1/2 *3 1/2= 5/2 * 7/2=35/4=8.75 miles

afternoon he runs on a track that is 1 3/10 miles per lap and he runs 3 laps

1 3/10 *3=13/10*3=39/10= 3.9

total miles  he runs in a day: 8.75+3.9= 12.65 miles

Step-by-step explanation:

Our polynomial is x²+30x +c with a missing value c

c should make this polynomial expression a perfect square

x²+ 30x+c

x² + 2*15*x +c

x²+2*15*x+15² ⇒ c = 15²=225

(x+15)²

Answer:

Step-by-step explanation:

Step one:

Applying the SOH CAH TOA principle

assuming all dimensions are in cm

Step two:

Given data

opposite= 1 cm

hypotenuse= 2 cm

Sin(θ)= opp/hyp

Sin(θ)= 1/2

Sin(θ)= 0.5

θ= sin-1 0.5

θ= 30°

hence  from tables cos 30°= 0.866