if a state wants each of its license plates to contain 5 different digits, how many different license plates can it make if any of the digits 0 through 9 can appear in any of the 5 positions?

\(83 {p}^{3} {q}^{2} {r}^{2} + 83p {q}^{2} {r}^{3} \)

Answer:

83p^9 + q^7 + r^6 + 83p + r^6

Step-by-step explanation:

^9 means to the power of 9

^7 means to the power of 7

^6 means to the power of 6

i can't do step-by-step, it's too complicated to explain. im sorry

<3

Answer:

X >= 6.7

Step-by-step explanation:

So first of all, what you need is write out the equation from the given prompt

x + 2.7 >= 9.4
Next, what you really want to do is

Subtract 2.7 both side
x >= 9.4 - 2.7
x >= 6.7

Answer:

Hi

Step-by-step explanation:

I am just reply to see if i really understand that problem

Let's assume s the present age of the son, and f the present age of the father.

The age of the son After 10 years is equal to the age of the father before 20 years:

s+10=f+10-20

f=3s

=> s+10=f-10

=> s+10=3s-10

=> 2s=20

=> s=10 and  f=30

Answer:

length= 6x

width= x

AREA= 135

solution

AREA = length times width

135 = 6x multiplied by x

135=6x^2

x^2 as subject of formula

x^2=135/6

x^2=22.5

square root both sides

x=4.74

width = 4.74

Answer:

9

Step-by-step explanation:

Services are usually produced and consumed at the same time, so they follow empty marketing channels such as haircuts and doctor visits.

Hence, Services are usually produced and consumed at the same time, so they follow empty marketing channels such as haircuts and doctor visits.

Learn more about commercial banking click here:

brainly.com/question/1263347

#SPJ4

Answer:

2

Step-by-step explanation:

a=-4 so 2x-4x-8>-13

-2x-8>-13

times by -1 (negative so flip the sign!)

2x+8<13

2x<5

x<2.5

Integer so 2

Answer:

A.$200

Step-by-step explanation:

I = PRT/ 100

P = $6000

R = 5%

T = 8 months = 8/12 = 2/3

I = (6000 × 5 × 2/3) /100

I = 20000 / 100

I = $200

Let's determine the height of the building using ratios and proportions.

Where,

h = height of the building

We get,

Therefore, the height of the building is approximately 105 m.

There are 6 pairs of strings that have at least 6 beads.We have to evaluate 35*17 - 15*7

Given expression: 35*17-15*7= 595-105= 490Thus, the required value is 490.There are 16 pairs of two strings of beads that can be formed if you want each string to have at least 6 beads. We have 18 beads, so when the necklace is divided into two, the minimum number of beads on each string is six.To count the number of ways we can do this, we should first count the total number of ways the necklace can be split into two parts. We know that the order in which the strings are arranged does not matter, so we can divide by 2 to account for this.We can divide the necklace at any point, resulting in 18 possible locations.

This gives us a total of 18/2=9 ways to split the necklace.Next, we'll figure out how many of these possibilities result in at least one string with fewer than 6 beads. This can only happen if we cut the necklace at one of the three positions closest to either end (positions 1, 2, or 3, or positions 16, 17, or 18). The other six cuts (positions 4 through 9) result in each string having at least 6 beads.Instead of counting the number of ways we can get at least one short string, we'll count the number of ways we can avoid getting one. This means we'll count the number of ways both strings can have 6 or more beads. There are 6 possible positions for each string, for a total of 6x6=36 ways to pick two strings with at least 6 beads. Out of the total 9 possible cuts, 3 of them result in at least one string with fewer than 6 beads. So, the number of possible pairs of strings with at least 6 beads is:9 - 3 = 6Therefore, there are 6 pairs of strings that have at least 6 beads.

To know more about pairs of strings visit :-

https://brainly.com/question/7230382

#SPJ11

Answer: 25 cubic ft

Step-by-step explanation:

v = l x w x h

v = 5 x 1 x 5

v = 25

Answer:

25cm

Step-by-step explanation:

an easy way I do it is I count the side which is 5 then i count the bottom which is 5 also and I multiply the two numbers to get the volume

There are approximately 3.72 x 10⁴¹ ways that Anna can hand out 1 treat to each of the 36 children who come to her door.

Anna has 2 dozen Rollo bars, which is equivalent to 2 x 12 = 24 Rollo bars.

She also has 1 dozen apples, which is equivalent to 1 x 12 = 12 apples.

So, Anna has a total of 24 + 12 = 36 treats to hand out.

Now, she needs to hand out 1 treat to each of the 36 children who come to her door.

This can be thought of as selecting 1 treat from the total of 36 treats for each child, without replacement, as each child can only receive 1 treat.

The number of ways to do this is given by the concept of permutations, denoted by "nPr", which is calculated as;

nPr = n! / (n - r)!

where n is the total number of items (treats) to choose from, and r is the number of items (treats) to choose.

In this case, n = 36 (total number of treats) and r = 36 (number of children).

Plugging in the values, we get;

36P36 = 36! / (36 - 36)! = 36! / 0! = 36!

Since 0! (0 factorial) is equal to 1, we can simplify further:

36! / 1 = 36!

36! ≈ 3.72 x 10⁴¹

So, there are 3.72 x 10⁴¹ ways that Anna can hand out 1 treat to each of the 36 children who come to her door.

To know more about treat here

https://brainly.com/question/8876653

#SPJ1

by solving this equation, the value of y = (x²+1)/(1-x²)

Equation can be used to represent relationships between variables and to solve problems. They are written using an equal sign (=) and can include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

To make y the subject of the equation x = √((y-1)/(y+1)),

x = √[(y-1)/(y+1)]

we can square both sides:

x² = (y-1)/(y+1)

Next, we can multiply both sides by (y+1) to get rid of the fraction:

x² × (y+1) = y-1

x²y + x² = y - 1

Rearranging the terms:

x² + 1 = y - x²y

x² + 1 = y(1 - x²)

Divide both side by (1-x²) we get

y = (x²+1)/(1-x²)

So, y is the subject of the equation is y = (x²+1)/(1-x²)

To know more about expression visit:

brainly.com/question/29176690

#SPJ1

Answer:

Step-by-step explanation:

The centroid is the intercession of medians.

The centroid theorem states that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

BE is the median and point G is 2/3 of the distance from E:

Then BG is:

The answer is BG = 7, GE = 14

Answer:

the answer is BG=7,GE=14

Answer:

C

Step-by-step explanation:

I took the test

Answer:

C) A is similar to C.

Step-by-step explanation:

Step-by-step explanation:

Initially, there's only 1 letter.

Tania sends the letter to 4 friends.

Each friend sends a letter to 4 more friends (4 × 4 = 16).

Each of those friends sends to 4 more friends (16 × 4 = 64).

The pattern is 1, 4, 16, 64, etc.

This is a geometric sequence.  The first term is 1 and each term is 4 times the previous term.

a₁ = 1

aₙ = 4 aₙ₋₁

The explicit formula is:

aₙ = 1 (4)ⁿ⁻¹

Answer:

14.87 units

Step-by-step explanation:

Pythagorean Theorem states that the sum of the square of the legs equals the square of the hypotenuse.

5² + 14² = y²

25 + 196 = y²

y² = 221

y = \(\sqrt{221}\) which is equal to 14.87

Answer:

Step-by-step explanation:

gud question

Answer:

\(\huge\boxed{\sqrt{(125^2)^{-\frac{1}{3}}}=\dfrac{1}{5}}\)

Step-by-step explanation:

\(\sqrt{(125^2)^{-\frac{1}{3}}}\qquad\text{use}\ (a^n)^m=(a^m)^n\\\\=\sqrt{\left(125^{-\frac{1}{3}\right)^2}\qquad\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=125^{-\frac{1}{3}}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{125^\frac{1}{3}}\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\dfrac{1}{\sqrt[3]{125}}=\dfrac{1}{5}\qquad\text{because}\ 5^3=125\)

∫_A^B ∫_B^C ∫_D^E (10%)(x^2 + y^2 + z^12) dz dr dθ.

This represents the full iterated integral for F_sav over the given solid cylinder.

(a) The iterated integral for F_sav with the given limits of integration is as follows:

∫∫∫_W (10%)(x^2 + y^2 + z^12) dz dr dθ,

where the limits of integration are A = 0, B = C = 0, D = 6, and E = -1.

(b) To evaluate the integral, we begin with the innermost integration with respect to z. Since z ranges from -1 to 6, the integral becomes:

∫∫_D^E (10%)(x^2 + y^2 + z^12) dz.

Next, we integrate with respect to r, where r represents the radial distance from the z-axis. As the solid cylinder is centered about the z-axis and has a base radius of 6, r ranges from 0 to 6. Thus, the integral becomes:

∫_B^C ∫_D^E (10%)(x^2 + y^2 + z^12) dz dr.

Finally, we integrate with respect to θ, where θ represents the angle around the z-axis. As the cylinder is symmetric about the z-axis, we integrate over a full circle, so θ ranges from 0 to 2π. Hence, the integral becomes:

∫_A^B ∫_B^C ∫_D^E (10%)(x^2 + y^2 + z^12) dz dr dθ.

This represents the full iterated integral for F_sav over the given solid cylinder.

The problem asks for the iterated integral of F_sav over the solid cylinder W. To evaluate this integral, we use the cylindrical coordinate system (r, θ, z) since the cylinder is centered about the z-axis. The function inside the integral is 10% times the sum of squares of x, y, and z^12. By integrating successively with respect to z, r, and θ, and setting appropriate limits of integration, we obtain the final iterated integral. The integration limits are determined based on the given dimensions of the cylinder.

Learn more about solid cylinder here:

https://brainly.com/question/30269341

#SPJ11

Answer:

72 degrees

Step-by-step explanation:

Answer: 50 1/4

Step-by-step explanation:

There will be 221 highway signs on the road trip.

What is Total Length?

Whole Length (TL) is the measurement taken in a straight line, with the fish lying on its side, from the tip of the snout to the end of the tail (caudal fin).

The total length of the road trip is 13.2 hours.

Highway signs are posted every 0.06 hours. To find out how many highway signs are on the road trip, we can divide the total length of the road trip by the interval between each sign and then add one more sign for the end of the road trip:

(number of signs) = (total length of road trip) / (interval between signs) + 1

Substituting the values, we get:

(number of signs) = 13.2 / 0.06 + 1

(number of signs) = 220 + 1

(number of signs) = 221

Therefore, there will be 221 highway signs on the road trip.

To know more about Total Length visit,

https://brainly.com/question/26319327

#SPJ1

Statistical hypothesis testing employs the null and alternate hypotheses.

The alternative hypothesis of a test expresses the prediction of an effect or relationship based on your study, while the null hypothesis of the test does not yet predict an effect or an association between the variables.

A statement that there is no relationship between two variables is called a null hypothesis. Another hypothesis is that the two variables are statistically correlated.

Alternative unilateral (directional) or the bilateral (non-directional) hypotheses are also possible. Simple, complex, true, and false are the four main categories of null hypotheses. If the p-value is greater than the statistical significance level, null hypothesis is preferred.

To Know more about alternative hypothesis:

brainly.com/question/25263462

#SPJ4

Answer:

The answer is D (last bullet)

Step-by-step explanation:

(3m-4)² + 8(3m-2) = (3m-4)(3m-4) + 24m - 16 =

= 9m² - 3m×4 - 4×3m + 16 + 24m - 16 =

= 9m² - 24m + 16 + 24m - 16 = 9m²

so, there is seemingly something missing in your original expression.

going from 9m², the most likely solution would be 9m/4 and therefore B.

but we cannot be sure, because again, I don't know what you left out in the beginning.

Answer:

x = 1 , y = 2

Step-by-step explanation:

Solve for substitution

A third-degree polynomial in standard form is y = 3x³ + 2x² + 5x - 6

The closure property as it relates to addition of polynomials is that addition of polynomial gives polynomial

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

A polynomial

A polynomial can be represented as

y = axⁿ + ...... + c

Where n is the degree of the polynomial

For a third degree, we have

n = 3

So, an instance of the polynomial is

y = 3x³ + 2x² + 5x - 6

It is in standard form, because the exponents are in decreasing order from 3

The closure property states that "when something is closed, the output will be the same type of object as the inputs"

In this case, it means that when polynomials are added, the result is a polynomial

Read more about polynomial at

https://brainly.com/question/4142886

#SPJ1

Answer:

D. Adjusted balance method

Step-by-step explanation:

According to given data on unmarried mothers as of 2021, around 25% of American children under 18 are living with a single parent.

The percentage of children born to unmarried mothers does not necessarily indicate the percentage of children living with a single parent, as some unmarried parents may choose to live together and raise their children as a family. Therefore, looking at the percentage of children living with a single parent provides a more accurate representation of the situation.

According to the US Census Bureau's 2020 report, around 25% of American children under 18 live with a single parent. This percentage has increased over the years, with 22% of children living with a single parent in 2000 and 19% in 1980. The reasons for single-parent households vary but can include divorce, separation, death of a spouse, or choice.

Learn more about Percentages:

https://brainly.com/question/24877689

#SPJ4

Alan would need a sample size of at least 447 to construct a 95% confidence interval for the proportion of those testing positive for COVID-19 who require hospitalization with a margin of error no more than 2%, using a prior estimate of 15%.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data. It involves the use of methods and techniques to gather, summarize, and draw conclusions from data.

To find the sample size required for constructing a 95% confidence interval for the proportion of those testing positive for COVID-19 who require hospitalization with a margin of error no more than 2%, we can use the following formula:

n = [(z-score)² * p * (1-p)] / (margin of error)²

where:

n is the sample size

z-score is the critical value for a 95% confidence interval, which is 1.96

p is the prior estimate of the proportion, which is 0.15

margin of error is 0.02

Plugging in the values, we get:

n = [(1.96)² * 0.15 * (1-0.15)] / (0.02)²

n = 446.25

Rounding up to the nearest whole number, we get a required sample size of 447.

Therefore, Alan would need a sample size of at least 447 to construct a 95% confidence interval for the proportion of those testing positive for COVID-19 who require hospitalization with a margin of error no more than 2%, using a prior estimate of 15%.

To learn more about statistics from the given link:

https://brainly.com/question/28053564

#SPJ4