Step-by-step explanation:
for each letter position there are 26 choices.
and each of these 26 choices can be combined with the next 26 choices.
so, they alone are 26×26×26 = 26³ = 17,576
then we have the three number positions.
each has 10 options.
so, they are 10×10×10 = 10³ = 1000
and both combined are
26³×10³ = 17,576,000 different number plates
The number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.
What is fundamental counting principle?The fundamental counting principle or basic principle of counting is a method or a rule used to calculate the total number of outcomes when two or more events are occurring together.
This principle states that the total number of outcomes of two or more independent events is the product of the number of outcomes of each individual event.
For each letter position there are 26 choices, and each of these 26 choices can be combined with the next 26 choices.
so, they alone are 26×26×26 = 26³ = 17,576
then we have the three number positions, each has 10 options.
so, they are 10×10×10 = 10³ = 1000
and both combined are;
26³×10³ = 17,576,000 different number plates.
Hence the number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.
Learn more about fundamental counting principle, click;
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Team A beat Team B by 15 points in a football game . If a total of 35 points were scored , what was the final score of the game ?
I WILL MARK YOU A BRAINLIEST
Answer:
25-10 (25 - A and 10 - B)
Step-by-step explanation:
25 - 10 equals the 15 point margin
25 plus 10 equals the 35 point score combined
Hope it helps
Answer:
25 to 10
First of all, you'd have to write an equation.
35 = (x+15) + x
total number of points Team A Team B
Subtract 15 from both sides.
20 = 2x
Divide.
20/2 equals X=10
Then you would add 15 to 10 and that would be Team A's score, therefore 25, Team B's is 10.
.In TIPS, the classroom of Grade 7A has a section of a field that measures 4 x 10 3 feet
by 5 x 105 feet. Another section Grade 7B is measuring 6 x 10 4 feet by 3 x 104 feet
(a)What is the area of the Grade 7A?
(b)What is the area of the Grade 7B?
(c)Which section has larger area? And how much is larger?
Answer:It's easy for us to visualize a meter; that's about 3 feet. ... nm (10-9 m) to 100 nanometers (100 x 10-9 = 10-7 m) and the unique properties that arise.
Step-by-step explanation:
Solve the Quadratic
Solve for x. Write in simplified radical form.
x^2– 7x – 4 = 0
Solution 1:
Solution 2:
Answer:
[tex]solution 1: \ \frac{7+\sqrt{65}}{2};[/tex]
[tex]solution2: \ \frac{7-\sqrt{65} }{2}.[/tex]
Step-by-step explanation:
x²-7x-4=0;
D=[b²-4ac]=49+16=65.
[tex]\left[\begin{array}{ccc}x=\frac{7+\sqrt{65}}{2} \\x=\frac{7-\sqrt{65}}{2} \end{array}[/tex]
The owner of Get-A-Away Travel has recently surveyed a random sample of 496 customers to test the mean age of the agency's customers is over 24 . The appropriate hypotheses are H0: μ ⤠24, Ha: μ > 24 If he concludes the mean age is over 24 when it is not over 24, he makes a _error.
Using error concepts for hypothesis tests, it is found that there is a Type I error.
A Type I error happens when a true null hypothesis is rejected.
A Type II error happens when a false null hypothesis is not-rejected.
In this problem, the null hypothesis is:
[tex]H_0: \mu = 24[/tex]
The alternative hypothesis is:
[tex]H_1: \mu > 24[/tex]
He concludes that the mean age is over 24 when it is not, that is, a true null hypothesis is rejected, hence there is a Type I error.
A similar problem is given at https://brainly.com/question/25225353
Original price of a comics book $2.95 Discount 10% Tax 5%
Answer:
The price of the comic book would be $2.79 after the discount and the tax.
We first take 10% of 2.95 or 0.295 from 2.95 to get our first value of 2.66.
Then we add 5% of 2.66 or 0.133 back to 2.66 to get our last value of 2.79.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu
Simplify these expressions
a) 5 x x
b) 6 x x xy
c) 2 x x 3 y
Eight less than the product of eleven and a number is negative nineteen. Find the number
Please help and show the answer thank uou
Answer:
-217 is the answer.
Step-by-step explanation:
negative nineteen is -19
eleven = 11
and from their product we have to subtract 8.
so,
-19×11
= -209
-209-8
= -217.
hope it helps you
plzz plzz plzz mark as brainliest
Answer:
the number is -1
Step-by-step explanation:
Let the number be x. PROOF
11x-8=-19. (11×-1)-8=-19
11x=-19+8
11x=-11
11x/11=11/11
x=1
I’m so confused, can someone help me? I’ll give brainlist
Answer:
16
Step-by-step explanation:
the square root of 16 is 4. (4x itself is 16)
out of the options, that is the only one that has a whole number as the square root.
Give an example of an equation whose solution is 5
Answer:
x - 5 = 0
Step-by-step explanation:
x - 5 = 0
Add 5 on both sides,
x - 5 + 5 = 0 + 5
x = 5
The equation whose solution is 5,
" x - 5 = 0 "
Answer:
x-5=0 right answer
kkkkkksssxcvbb
is it linear??? plzzzzz
Answer:
Not a linear function
Step-by-step explanation:
3xy = 27 is not a linear function.
A linear function is given by f(x) = mx + b (in slope-intercept form), or Ax + By = C (in standard form). An easier way of understanding the linear function is to envision that the variables (x and y), along with the constant,(y-intercept, are along the same line.
Isolating y from the left-hand side:
3xy = 27
On the left-hand side of the equation: 3xy involves a multiplication operation. Thus, 3xy is the same as expressing it as 3·x·y.
We cannot simply add or subtract x or y to isolate either one of the variables. The proper mathematical operation to do so is by division.
Hence, we must divide both sides by 3x to isolate y:
[tex]\displaystyle\mathsf{\frac{3xy}{3x}\:=\:\frac{27}{3x}}[/tex]
[tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex] ⇒ This is a reciprocal function, also known as an inverse function, where it is undefined when x = 0. The graph of an inverse function is a hyperbola.
Attached is the graph of [tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex] to show why it is not considered as a linear function. A linear function will show a straight line.
Math test urgent & any help would be greatly appreciated thank you the question is attached in the photo below
Answer:
Good luck on the test <333
Step-by-step explanation:
m<1 = ? // m<2 = ? // m<3 = ? // m<4 = ?
First I want to find the third angle because I see 93 degrees + 3 equals 180, so angle 3 is 87.
Now I find angle 2, because it seems as angle 2 is the same as 49 degrees.
Now for angle 1 and 4, we now that angles in a triangle sum to 180°. So for angle 1 the equation is 180 - (49 + 68), which is 63.
For angle 4 the equation is 180 - (49 + 87), which is 44.
The Cardinality of this set {7,8,9) includes
a. n(P) = 3
b. n(P) = 6
c. n(P) = 24
d. n(P) = 2
Answer:
The Cardinality of this set {7,8,9} is n(P) = 8.
Step-by-step explanation:
Because:
n(P) = {{}, {7}, {8}, {9}, {7, 8}, {8, 9}, {7, 9}, {7, 8, 9}}
Hence by the formula 2^k.
where, k = number of elements in the set.
The cardinality is 8.
5. Simplify:
2x^2(-3x^2)^3
Answer:
[tex]-54x^8[/tex]
Step-by-step explanation:
[tex]2x^2(-27)x^6\\\\-54x^2x^6\\\\-54x^{2+6}\\\\-54x^8[/tex]
PLEASE HELP WITH THIS PROBLEM
Answer:
x=4
Step-by-step explanation:
What is the slope of the line that passes through each pair of points in (-4,-1),(-4,-5)
need help with this question
Answer:
Between 6 & 7
Step-by-step explanation:
The square root of 45 is 6.7. So it'll be between 6 & 7.
7. Jairaj has 20 50-cent and 10-cent coins altogether. He has a total of $6.80 How many 50-cent coins does he have?
Answer:
He will have 8 50-cent coins
Step-by-step explanation:
Let x = the number of 10-cent coins
Let y = the number of 50-cent coins
x + y = 20 y = 20 - x
[Set up an equation] .10x + .50y = 6.80
[Multiply both sides by 100] 10x + 50y = 680
[Plug-in] 10x + 50(20 - x) = 680
[Multiply] 10x + 1,000 - 50x = 680
[Combine like terms & subtract 1,000 from both sides] -40x = -320
[Divide both sides by -40] x = 8 coins
Have a nice day! - hopefully this is correct, I got a bit turned around for a bit lol
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Help pls!!!!!!
Yghhjjhgf
Answer:
[tex]\sf{Exact\:form:\\\sqrt[4]{81}\\[/tex]
[tex]\bold{Decimal\:form:-3}[/tex]
Step-by-step explanation:
[tex]-81^\frac{1}{4}[/tex]
[tex]\mathrm{Convert\: to\: radical\: form\: using\: the\: formula\:}\: a^\frac{x}{n} = \sqrt[n]{a^x}[/tex]
[tex]\mathrm{If\:} n \mathrm{\:is\: a\: positive\: integer\: that\: is\: greater\: than\:} x\mathrm{\:and\:} a \mathrm{\:is\: a\: real\: number\: or\: a\: factor, then} \\a^\frac{x}{n} = \sqrt[n]{a^x}[/tex]
[tex]\mathrm{Use\: the\: rule\: to\: convert\: -81^\frac{1}{4}\: to\: a\: radical, where\:} a=-81,\ x=1, \mathrm{and\:} n=4\\\sqrt[4]{81}[/tex]
[tex]\mathrm{Plug\: the\: points:}\\\\a^\frac{x}{n} = \sqrt[n]{a^x}\\-81^\frac{1}{4} =\sqrt[4]{81}[/tex]
[tex]\mathrm{Solve}\\\\\mathrm{The\: result\: can\: be\: shown\: in\: multiple\: forms.}[/tex]
1. Name angle 'x'
2. calculate the size of angle 'y'
Answer:
y = 70°Step-by-step explanation:
x = 35° (opposite agles)
y = 180 - 35 - 75
y = 70
-----------------------
check 35 + 75 + 70 = 180°
the answer is good
Use proportional reasoning to solve problems involving ratios. (Activity Sheet #4 & 5)
The size of a television is the length of the diagonal of its screen in inches. The
aspect ratio of the screens of older televisions is 4:3, while the aspect ratio of
newer wide-screen televisions is 16:9. Find the width and height of an older 20-
inch television whose screen has an aspect ratio of 4:3. Show all work to receive
credit.
Answer:
Step-by-step explanation:
(3x)² + (4x)² = 20²
9x² + 16x² = 400
25x² = 400
x² = 16
x = 4
height = 3(4) = 12 inches
width = 4(4) = 16 inches
The length of a rectangular pool is 4 meters less than twice the width. If the pool's perimeter is 64 meters, what is the width?
this is best solved using algebra
let the width be 4x (since it is 4 times more the length)
let the length be x
the formula for perimeter is (l+b)2 let us sub these variables in our formula
(x + 4x)2 = 64
expand brackets
2x + 8x = 64
combine like terms
10x = 64
make x the subject
x = 64/10 = 6.4
the length is 6.4 m
now let's find the width, the width is 4 times more the length so we simply substitute our value we found for x in 4x
we get:
4(6.4) = 25.6
the length is 25.6m
let's check our answers to see if its correct
25.6 + 6.4 = 32
32 × 2 = 64
the answer is correct
if b=p+5 and a=p^2+10p+1 find an expression that equals 2b+3a in standard form
Answer:
3p² + 32p + 13
Step-by-step explanation:
Okay, so lets first solve for 2b. 2b = 2(p + 5), which is equal to 2p + 10. Now, let's solve for 3a. 3a = 3(p² + 10p +1), simplifying to 3p² + 30p +3. After adding 2b and 3a, we are able to get 2p + 10 + 3p² + 30p + 3 = 3p² + 32p + 13
Answer:
3p² + 32p + 13
Step-by-step explanation:
3p² + 32p + 13
(10 points!!!) AND I’LL GIVE YOU BRAINLIEST IF CORRECT
I ALREADY KNOW THE ANSWER I JUST WANT THE EXPLANATION!!
Janell deposits $2,000 and for 5 years leaves it in an account earning 3% annual interest, compounded quarterly. For 5 years, José saves and deposits $150 per quarter in an account earning 3% interest compounded quarterly. Who will have more money in the account after 5 years? How much more?
Use the table to answer:
Answer:
of which class is it ?
Step-by-step explanation:
???????.................
In 2021, Miranda records net earnings from self-employment of $158,500. She has no other gross income. Determine the amount of Miranda's self-employment tax and her for AGI income tax deduction.
In your computations round all amounts to two decimal places. Round your final answer to whole number
Answer:
We don't have the tax rate so I'll just explain how to do it
Step-by-step explanation:
158,500 multiplied by ( a unit of one subtracted (-) from the percentage of tax rate in decimal form ) is the total of money Miranda made after tax
Clare had t books. After she bought 8 more books, she had 24 books. Write and solve an equation to find the number of books Clare started with
Answer:
24-8=t
Step-by-step explanation:
I cant really explain much...
but, Hope it helps
plz mark brainiest if it does
explain how to multiply rational expressions
Answer:
In order to multiply rational expressions:
Step 1: Completely factor all numerators and denominators.
Step 2: Reduce all common factors.
Step 3: Either multiply the denominators and numerators or leave the answer in factored form.
Here is an example:
The teacher has 10 pizzas. She can give each child 1/8 of a pizza. How many students will get a slice.
Answer:
80
Step-by-step explanation:
1 pizza has 8 [tex]\frac{1}{8}[/tex]ths. 10 pizzas have 10 × 8 = 80 1/8ths. So 80.
Answer:
80 because if one student gets 1/8 that means 8 students get one slice out of the pizza multiply 8 by 10 and it equals 80
How can you multiply fractions and mixed numbers?
Step-by-step explanation:
To multiply fractions:
Multiply numerator to numerator and multiply denominator to denominator. Simplify the answer.
To multiply mixed numbers:
Change mixed numbers into improper fraction. Then multiply numerator and denominator just like how you multiply the fractions. Simplify.
Find the average value of the sum of the squares of three numbers x, y, z, where each number is between 0 and 2.
answer:
1
Step-by-step explanation:
#'s between zero and two = one
the only number between 0 and two is 1
x = 1 y = 1 z = 1
the average value of the sum of the squares of x, y and z = 1
1, 1, 1
the average is 1
Please HELP ME!!!
[tex]x=1+i[/tex] is a solution to which of the following equations?
a: [tex]x^{2}+1=0[/tex]
b:[tex]x^{2} -2x+2=0[/tex]
c: [tex]x^{2} -2x+1=0[/tex]
d:[tex]x^{2} -1=0[/tex]
If you could please share you're thought process and work with me as well, so I can better understand how you found the answer. Thanks a bunch!
Answer:
b. x² - 2x + 2 = 0Step-by-step explanation:
Solve each to confirm answer
a.
x² + 1 = 0x² = - 1x = √ -1x = iFALSEb.
x² - 2x + 2 = 0(x - 1)² + 1 = 0(x - 1)² = - 1x - 1 = √-1x - 1 = ix = 1 + iTRUEc.
x² - 2x + 1 = 0(x - 1)² = 0x - 1 = 0x = 1FALSEd.
x² - 1 = 0x² = 1x = √1x = ± 1FALSEAnswer:
Option B
Step-by-step explanation:
[tex]\\ \sf\longmapsto x^2-2x+2=0[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-(-2)\pm\sqrt{(-2)^2-4(1)(2)}}{2(1)}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2\pm\sqrt{4-8}}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2\pm\sqrt{-4}}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2\pm 2i}{2}[/tex]
[tex]\\ \sf\longmapsto x=1\pm i[/tex]
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