9514 1404 393
Answer:
5 + 8 = 45
Step-by-step explanation:
We observe that the sequence of numbers on the left is arithmetic, with each value increasing by 1 from each expression to the next.
Similarly, we observe that the sequence on the right increases by an increasing amount from one number to the next. First differences are 7, 9, suggesting that each successive line in the table will differ by 2 more than the previous two lines did.
Following this pattern, we have ...
4 + 7 = 32
5 + 8 = 45
_____
Additional comment
Here, it seems, the symbol "+" in the expression "a+b" is intended as a stand-in for the function f(a, b). That is, we're given three expressions ...
f(1, 4) = 5
f(2, 5) = 12
f(3, 6) = 21
and asked to predict the value of f(5, 8).
f may be any of a variety of functions. A couple of them are ...
f(x, y) = x^2 +4y -12
f(x, y) = y^2 -2x -9
or ...
f(n, n+3) = n(n+4), which could also be written f(x, y) = x(y+1)
How many integers are there from 1,000 through 9,999? (b) How many odd integers are there from 1,000 through 9,999? (c) How many integers from 1,000 through 9,999 have distinct digits? (d) How many odd integers from 1,000 through 9,999 have distinct digits? (e) What is the probability that a randomly chosen four-digit integer has distinct digits? What is the probability that a randomly chosen four-digit integer has distinct digits and is odd?
Answer:
(a) [tex]Total= 9000[/tex]
(b) [tex]Total = 4500[/tex]
(c) [tex]Total = 4536[/tex]
(d) [tex]Total = 2240[/tex]
(e) [tex]Pr = 0.5040[/tex] --- Probability of distinct digits
[tex]Pr = 0.2489[/tex] --- Probability of odd distinct digits
Step-by-step explanation:
Solving (a): Integers from 1000 to 9999
To do this, we simply add 1 to the range.
i.e.
[tex]Total= Range +1[/tex]
Range is the difference between the given interval.
[tex]Total= 9999 - 1000 +1[/tex]
[tex]Total= 9000[/tex]
Solving (b): Odd integers
This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)
The first digit can not be 0 (i.e any of the remaining 9 digits)
There is no restriction to other digits
Numbers from 1000 to 9999 are 4 digits, so the possible selection are:
[tex]First= 9\\Second = 10\\Third = 10\\Last = 5[/tex]
Total selection is:
[tex]Total = 9 * 10 * 10 * 5[/tex]
[tex]Total = 4500[/tex]
Solving (c): Distinct digits
This implies that all 4 digits are different and the first can not be 0.
So, we have:
[tex]First = 9[/tex] i.e. (1 - 9)
[tex]Second = 9[/tex] i.e. (0 - 9) minus the first digit
[tex]Third = 8[/tex]
[tex]Fourth = 7[/tex]
Total selection is:
[tex]Total = 9*9*8*7[/tex]
[tex]Total = 4536[/tex]
Solving (d): Odd digits that are distinct
This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)
The first digit can not be 0 and must be different from the last (i.e 8 digits)
The second digit must be different from the first and the last(i.e. 8 digits)
The third digit must be different from the three other digits (i.e. 7 digits)
So,
[tex]Total = 5 * 8 * 8 * 7[/tex]
[tex]Total = 2240[/tex]
Solving (e): Probability that a number is distinct
In (a), total possible digits is 9000
In (c), total distints are 4536
So, the probability is:
[tex]Pr = \frac{4536}{9000}[/tex]
[tex]Pr = 0.5040[/tex]
In (d), total odd distinct digits are 2240
So, the probability is:
[tex]Pr = \frac{2240}{9000}[/tex]
[tex]Pr = 0.2489[/tex]
Help me please with this thank you
Which expression is equivalent to -2 1/4 divide -2/3?
Answer:
-9/4 divide (-2/3)
Step-by-step explanation:
Zach puts $1000 in a savings account earning 5% simple interest for five years how much interest has he earned at the end of the five years
Answer:
$250
Step-by-step explanation:
The formula for simple interest is I = PRT, where I= interest earned or paid, P = principal deposited or borrowed, R = interest rate as a decimal, and T = time in years.
I = PRT
I = (1000)(0.05)(5)
I = 250
What is the area? 20 km 13 km 16 km
How many 3/8 mile laps does shandra need to run to complete 6 miles?
Answer:
16 more 3/8 mile runs
Step-by-step explanation:
We can just divide 6 by 3/8
6/1 divided by 3/8
6/1 * 8/3
48/3
16
Which negative angle is equivalent to 265°?
A. -85°
B. -65°
C. -95°
D. -75°
Answer:-95°
Step-by-step explanation: a p e x
The negative angle that is equivalent to 265° would be equal to negative 85 degrees.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
The negative angle is equivalent to 265°.
We know that the sum of angles is always 180
So,
we will subtract the angle 180 from the angle of 265 degrees.
265 - 180
= 85°
Learn more about the triangles;
https://brainly.com/question/2773823
#SPJ2
Kaleb feeds 4 cups of pellets to his pet hamsters each day. He gives his guinea pig 3/4 as much food as he gives the hamsters.
How much food does the guinea pig receive each day?
Answer:
The hamster eats 1 cup a day I hope this helps
Step-by-step explanation:
50 points , please be honest
Answer:
7
Step-by-step explanation:
Answer:
[tex]\sqrt{15}[/tex]
Step-by-step explanation:
a^2+b^2=c^2
7^2+b^2=8^2
49+b^2=64
b^2=15
b=[tex]\sqrt{15}[/tex]
Find the value of x
Find the direction of the vector <-3, -5>
Answer:
The vector
V
=
(
4
,
-
3
)
is at an angle of
−
36.67
°
to the positive
x
-axis.
Explanation:
I'll presume you're looking for the angle which the vector makes with the
x
-axis.
We use our old friend
tan
for this.
tan
θ
=
y
x
⇒
θ
=
tan
−
1
(
y
x
)
⇒
θ
=
tan
−
1
(
−
3
4
)
=
tan
−
1
(
−
0.75
)
⇒
θ
=
−
0.64
⇒
θ
≈
−
36.67
°
Because
tan
−
1
can only return angles between -90° and +90° (that is, in
Q
IV
or
Q
I
), we then check which quadrant the point
(
4
,
-
3
)
is in, to confirm whether we can keep this answer or if we need to add 180°.
(
4
,
-
3
)
is in quadrant 4, and so the value given by
tan
−
1
is fine as it is.
The vector
V
=
(
4
,
-
3
)
is at an angle of
−
36.67
°
to the positive
x
-axis.
[tex] \sqrt[3]{54} [/tex]
How do I solve?
Answer:
find the cubic root of the number given
Please help me!
Evaluate (-27)^1/3
1/3 is a fraction
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
-3 is correct, but why?
The reason is that the exponent 1/3 indicates a cube root and the cube root of -27 is -3.
[tex]x^\frac{1}{n}=\sqrt[n]{x}[/tex]
So [tex]x^\frac{1}{2}=\sqrt{x}[/tex]
[tex]x^\frac{1}{5}=\sqrt[5]{x}[/tex]
etc.
In ΔSTU, the measure of ∠U=90°, UT = 80, SU = 39, and TS = 89. What ratio represents the tangent of ∠S?
Answer:
[tex]\frac{80}{39}[/tex]
Step-by-step explanation:
SOHCAHTOA
O =Opposite
A = Adjacent
H = Hpotenuse
If we draw it out we can see that the opposite side is the UT and adjacent side is SU for ∠S.
When an angle is asked for like here is S so the opposite side of the angle is the opposite side. and the angle close to it is the adjacent. The biggest side is the hypotenuse.
determine if function. HELLPPP If you awnser correctly i will try and give you a brainlyyyy.
Answer: This relation is not a function
Step-by-step explanation:
To find out if a relation is a function, we need to use the vertical line test, which means each input value only has one output value. This graph does not pass that vertical line test.
Answer:
I believe it is a function
Step-by-step explanation:
Solve for x
(13x + 4)º
98
Answer:
6
Step-by-step explanation:
13x + 4 = 180 - 98
x = 6
PLEASE ANWSER ASAPPPP
8. A plumber charges $85 for service calls plus $23 per hour for labor. Write and solve an equation to determine how much he would charge for a 24 hour service call.
Answer
24*108=x
Step-by-step explanation:
Lets say x is the total amount. and you need to find it for 24 and 85+23= 108 dollars. and so you multiplay 108 with 24. hope it helped
The volume of the following solid figure could be found by multiplying the area of its circular base by the height of the cone. True False
Answer:
its false
Step-by-step explanation:
Brainly is so bad. They are deleting all of these questions like ITS MY HOMEWORK AND I NEED HELP THAT WHAT THE APP IS FOR??????? STOP DELETING QUESTIONS BECAUSE THERE ARE SOME KIDS CRYING BECAUSE THEY JUST CANT UNDERSTAND IT AND THEY NEED AN EXPLANATION BRAINLY IS GETTING WORSE AND WORSE.
Answer:
The answer to this question is FALSE
hope you have a nice day!
Hey there.
You might not want to here this. You might be looking for an answer to something, I know, I seem annoying rn.
I wanted to remind you to drink your water, eat, and give your body what it needs.
Your so loved. Trust me, because even though I don’t know who you are, I know you exist, and I love you.
Your so worthy!! You were put into this world for a reason. Don’t waste it. You only have one life. Have fun. Be reckless. Love yourself while your at it.
You are SO BEAUTIFUL QUEEN/KING. DONT LET ANYONE, AND I MEAN ANYONE TELL YOU OTHERWISE. repeat after me, I AM SO BEAUTIFUL
Your so smart and strong, you’ll get through this. I promise. Everything will be okay, just take a deep breath.
Give yourself breaks, you deserve it. So much. So much. You woke up today! Your reading this! I know waking up might be little for you. But I’m so proud of you. If you got ready I’m double proud of you. But if you didn’t, I’m still proud of you for being here, waking up, and tomorrow, push yourself to see if you can get ready.
Ik this is heck rn with everything going on, but you’ll get through it, we all will. We all will. Your not alone. Everyone is in heck rn. But we will get through it. We have vaccines and a amazing president. Just take a deep breathe and give yourself that cookie. You deserve it. I love you. Have an amazing day :)
use me as a like button for this question lol
what is the value of the expression below? (64^3)^1/6
Answer:
(64^3)^(1/6)
=(64)^(3×1/6)
=(64)^(1/2)
=(8^2)^(1/2)
=(8)^(2×1/2)
=8^1
=8
8 is the correct answer of your question...
Answer:
8
Step-by-step explanation:
Remember the phrase "power to a power means to multiply the exponents"
That is, if you have a number (call it x) raised to a power (call it b), and that whole expression is raised to a power (call it c), it's the same as that number x raised to the power of the product of those two powers.
[tex](x^a)^b = x^a^b[/tex]
Here's an example showing to give some intuition behind this (and a way to derive the above formula if you forget it):
[tex]x^3 = x*x*x\\(x^3)^2 = (x*x*x)^2 = x*x*x*x*x*x = x^6[/tex]
Or more simply,
[tex](x^3)^2 = x^(^3^*^2^) = x^6[/tex]
So in this case:
[tex](64^3)^\frac{1}{6} = 64^(^3^*^\frac{1}{6}^) = 64^\frac{1}{2} = 8[/tex] (remember a number raised the to the power of 1/2 is the square root of the number; in this case, the square root of 64 is 8)
Acellus
Find the lateral area of this cone.
Leave your answer in terms of 7.
24in
10 in
T ㅠ
Hint: Lateral Area of a Cone = more
Where e = slant height
Enter
Answer:
24 in
Step-by-step explanation:
i donk know
its a guess
Answer: 260
Step-by-step explanation:
Ile czystego alkoholu znajduje się we krwii
Answer:
100 ml
Step-by-step explanation:
⚠️ PLEASEEEE HELPPPPPP !!!!!
Answer:
Where is the pic
Step-by-step explanation:
17 cm
12 cm
5 cm
pls help
Answer:
30 cm²
Step-by-step explanation:
A = bh/2
A = (12 cm)(5 cm)/2
A = 30 cm²
Morgan is a teacher and takes home 87 papers to grade over the weekend. She can grade at a rate of 9 papers per hour. How many papers would Morgan have remaining to grade after working for 7 hours?
Answer: 24
Step-by-step explanation: Delta math a=78+(7−1)(−9)
Answer:
2369.9
Step-by-step explanation:
Add it back
what is the ans and pls explain
Every unitary operator U : X → X is normal. b) A matrix is unitary if and only if it is invertible. c) If two matrices are unitarily equivalent, then they are also similar. d) The sum of self-adjoint operators is self-adjoint. e) The adjoint of a unitary operator is unitary. f) The adjoint of a normal operator is normal. g) If all eigenvalues of a linear operator are 1, then the operator must be unitary or orthogonal. h) If all eigenvalues of a normal operator are 1, then the operator is identity. i) A linear operator may preserve norm but not the inner product.
You are buying shoes online. The selling price is $29.99. The sales tax is 6.5% What is the total cost? Round to the nearest penny, if necessary.
Answer:
hjvcwhcd
Step-by-step explanation:
hccdw u hvucoijihcxpoiyutrdjrggggggggggggggggggggggggggggggggggggggg
11. The product of 4.8 and 0.4 is 19.2
A) True
B) False
Answer:
false it's product is 1.92