Answer:64
Step-by-step explanation:16 × 4
Multiplying each digit of one number by each digit of another number won’t work when you’re multiplying numbers with more than three digits
Answer: this statement would be true because that would mean that 100x100=1
Step-by-step explanation:hope it helps, brainliest? i could really use it
Jaun's age, x, is 4 times his age 15 years ago
The expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)
How to rewrite the statement as an expression?The mathematical statement is given as
Jaun's age, x, is 4 times his age 15 years ago
From the statement, we have:
x represent Juan's current age
This means that his age 15 years ago is
15 years ago = x - 15
4 times his age 15 years ago is
4 * 15 years ago = 4 * (x - 15)
The above equation is equivalent to his current age
So, we have
x = 4 * (x - 15)
Hence, the expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)
Read more about expressions at
https://brainly.com/question/2972832
#SPJ1
Which Law of Exponents is used to write (3ab)³ as the equivalent expression 27a³b³?
Choose the correct answer below.
OA. Product of a Power Law
B. Power of a Power Law
C. Power of a Product Law
OD. Power of a Quotient Law
...
Answer:
A) product of a power law
Step-by-step explanation:
most sensible
What is the greatest common factor of 26 and 4?
Answer:
2
Step-by-step explanation:
List of positive integer factors of 26 that divides 4 without a remainder. We found the factors and prime factorization of 4 ad 26. The biggest common factor number is the GCF number. So the greatest common factor 4 and 26 is 2.
A dinner set can be bought for $110000 cash or by a deposit of $37000 and 24 equal monthly installments of $4600 each. How much more will the dining set cost using the hire purchase method of payment?
The difference between the dining set cost using the hire purchase method of payment is $37400.
How to calculate the cost?It should be noted that when the hire purchase is used and there is a deposit of $37000 and 24 equal monthly installments of $4600 each.
The total amount will be:
= $37000 + ($4600 × 24)
= $37000 + $110400
= $147400
On the other hand, the dinner set can be bought for $110000 cash.
Therefore, the difference will be:
= Hire purchase - Cash.
= $147400 - $110000.
= $37400
Therefore, the difference between the dining set cost using the hire purchase method of payment is $37400.
Learn more about cost on:
brainly.com/question/25109150
#SPJ1
Would be wonderful, if anyone could help me understand what steps you should do for this one.
The value of x is 6 is proved by equating line segment PM and MR as M is the midpoint of line PR.
What is midpoint of line segment?
The midpoint divides the line segment into two equal parts. As the number line progresses, the leftmost numbers become smaller, and the rightmost numbers become larger. Adding, subtracting, and multiplying can also be done using a number line like for addition move towards right and for subtraction move towards left.
It is given that M is the midpoint of line segment PR which implies M will divide PQ into two equal parts that is PM (2x + 5) equals MR (4x - 7). now calculating x value first :
PM = MR
2x+5 = 4x -7
4x -2x = 5 + 7
2x = 12
x = 12/2
x = 6
Hence proved that the value of x is 6
check and know more about midpoint here :
https://brainly.com/question/27656385
#SPJ1
Wild Safari Tours charges $75 per person for a day trip, and deducts $25 for every fourth person in a group of four or more. What is the cost for a group of four? a group of nine? Show work.
The cost for a group of nine will be $625.
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
total number of people in the group is nine
total amount that will be charged will be = $75×9= $675
the amount that will deduct is $25
there will be to groups will be 2
so total amount that will be deducts = $25×2= $50
so total cost will be $675- $50= $625
To know more about unitary method
visit-: https://brainly.com/question/22056199
SPJ9
7. We call the middle of each individual class the class:
a. interval.
b. cumulative frequency.
c. relative frequency.
d. mid-point.
Answer:
Step-by-step explanation:
Answer:
b cumulative frequency
Step-by-step explanation:
After rolling a fair, six-sided die 100 times, it was observed that the probability of rolling a 2 was 12%. What would the probability be of rolling a 2 the next time that same die is rolled?
Answer:
The probability of rolling a 2 the next time that same die is rolled is 0.167.
Step-by-step explanation:
In this question it is given that there is rolling dice that is six sided and which is rolled for a 100 times and it was further observed that the probability of rolling a 2 was 12%.
Firstly, let us understand what is probability;
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
Now,
Let us understand the concept of impossibility and certainty of an event;
An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Further, In the above-mentioned condition, it is observed that the die has been rolled a 100 times;
The probability of getting X is only 12%.
Now,
In the condition where the die is rolled in for an extra time being a six sided, the probability of getting a 2 is 1/6.
=> 1/6
=> 0.167
Therefore, the probability of rolling a 2 the next time that same die is rolled is 0.167.
To know more about probability, click here:
https://brainly.com/question/11234923
#SPJ9
Classify the indicated pairs of angles.
Answer:
can you send a link or photo of the angles?
Step-by-step explanation:
2h+j+5k=57
h+j+k=16
h+6j+2k=35
Hey, could you perhaps provide a little bit more info regarding what method/topic/skill you are required to use in order to solve the following? Also, are these three different expressions, or are they a part of the same question. Thanks!
612,315 in scientific notation
Answer: 6.12315 × 105
Step-by-step explanation: No worry's just here for the fun of it
15. Which relation has a domain of {-5, -3, 0) and a range of {1, 2, 3, 4, 5, 6, 7, 8)?
O {(2,-5), (3,-3), (6, 0), (7,-5), (1, 0), (8,-5), (4, -3), (5, 0))
O((-5, 8), (-5, 2), (-3, 3), (-3, 1), (0, 4), (0, 5), (-5, 7), (-3, 6)}
{(-5, -5), (-3,0), (2, 8), (1,7), (5, 3), (6,4)}
((-5, 9), (10, -3), (2, 1), (3, 4), (0, 5), (6, 8), (0, 7)}
Among the four options provided in the reference diagram for the question attached thereby along with the question statement, {(-5, 8), (-5, 2), (-3, 3), (-3, 1), (0, 4), (0, 5), (-5, 7), (-3, 6)} is the relation that has a domain of {(-5), (-3), 0} and a range of {1, 2, 3, 4, 5, 6, 7, 8}.
As per the question statement, we are required to determine the relation which has a domain of {-5, -3, 0) and a range of {1, 2, 3, 4, 5, 6, 7, 8).
To solve this question, we will use the trial-and-error method on the options provided. We have to find out possible (x, y) combination, where "x" belongs to the set of {(-5), (-3), 0} and "y" belongs to the set of {1, 2, 3, 4, 5, 6, 7, 8}, and match these combinations with the options.
The first option has x values from the set of {1, 2, 3, 4, 5, 6, 7, 8} and y values from the set of {(-5), (-3), 0}. Hence, it is not the correct answer.
The second option has x values from the set of {(-5), (-3), 0} and y values from the set of {1, 2, 3, 4, 5, 6, 7, 8}. Hence, it is one possible correct answer.
The third and fourth options have values out of the sets of {(-5), (-3), 0} and {1, 2, 3, 4, 5, 6, 7, 8}. Hence, they are not the correct answers.
Therefore, {(-5, 8), (-5, 2), (-3, 3), (-3, 1), (0, 4), (0, 5), (-5, 7), (-3, 6)} is the relation that has a domain of {(-5), (-3), 0} and a range of {1, 2, 3, 4, 5, 6, 7, 8}.
Range & Domain of a Function: In a function, say [y = f(x)], the set of values we can plug into the function, i.e., "x" is the domain for the function while, the set of outputs the function will produce on inputs of x, will form the Range of the function.To learn more about Range & Domain of a Function, click on the link below.
https://brainly.com/question/1632425
#SPJ9
What is the least possible degree of the polynomial graphed above?
Answer:
2
Step-by-step explanation:
The graph looks to be like a parabola. Due to the end behaviour of the graph (Up in both quadrants 1 and 2) it can be said that the graph has a positive leading coefficient.
Hope that helps
Let [tex]\alpha[/tex] and [tex]\beta[/tex] be real number such that [tex] - \frac{\pi}4 < \beta < 0 < \alpha < \frac{\pi}{4} .[/tex] If [tex]\sin( \alpha + \beta ) = \frac{1}{3}[/tex] and [tex]\cos( \alpha - \beta ) = \frac{2}{3}[/tex] , then the greatest integer less than or equal to [tex] \bigg( \frac{ \sin( \alpha ) }{ \cos( \alpha ) } + \frac{ \cos( \beta ) }{ \sin( \alpha ) } + \frac{ \cos( \alpha ) }{ \sin( \beta ) } + \frac{ \sin( \beta ) }{ \cos( \alpha ) } \bigg) {}^{2} \\[/tex] is
Step-by-step explanation:
We have,
[tex]\begin{gathered} \bullet \: \bold{ - \dfrac{\pi}{4} < \beta < 0 < \alpha < \dfrac{\pi}{4} } \\ \\ \implies \: - \dfrac{\pi}{4} < \alpha + \beta < \dfrac{\pi}{4} \end{gathered}[/tex]
[tex]\begin{gathered} \rm\bullet \: \: \: \sin( \alpha + \beta ) = \dfrac{1}{3} \: \: \: \: \: and \: \: \: \: \: \cos( \alpha - \beta ) = \dfrac{2}{3} \\ \end{gathered} [/tex]
Now,
[tex]\begin{gathered} y= \bigg( \dfrac{ \sin( \alpha ) }{ \cos( \beta ) } + \dfrac{ \cos( \beta ) }{ \sin( \alpha ) } + \dfrac{ \cos( \alpha ) }{ \sin( \beta ) } + \dfrac{ \sin( \beta ) }{ \cos( \alpha ) } \bigg)^{2} \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \bigg( \dfrac{ \sin( \alpha ) }{ \cos( \beta ) } + \dfrac{ \sin( \beta ) }{ \cos( \alpha ) } + \dfrac{ \cos( \beta ) }{ \sin( \alpha ) } + \dfrac{ \cos( \alpha ) }{ \sin( \beta ) } \bigg)^{2} \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \bigg( \dfrac{ \sin( \alpha ) \cos( \alpha ) + \sin( \beta \cos( \beta ) ) }{ \cos( \beta ) \cos( \alpha) } + \dfrac{ \sin( \alpha) \cos( \alpha ) + \sin( \beta ) \cos( \beta ) }{ \sin( \alpha ) \sin( \beta ) } \bigg)^{2} \\\end{gathered}[/tex]
[tex]\begin{gathered} \implies y= \bigg( \dfrac{ \sin( \alpha + \beta ) }{ \cos( \beta ) \cos( \alpha) } + \dfrac{ \sin( \alpha + \beta ) }{ \sin( \alpha ) \sin( \beta ) } \bigg)^{2} \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \sin^{2} ( \alpha + \beta ) \bigg( \dfrac{ 1 }{ \cos( \beta ) \cos( \alpha) } + \dfrac{ 1 }{ \sin( \alpha ) \sin( \beta ) } \bigg)^{2} \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \sin^{2} ( \alpha + \beta ) \bigg( \dfrac{\cos( \beta ) \cos( \alpha) + \sin( \alpha ) \sin( \beta ) }{ \cos( \beta ) \cos( \alpha) \sin( \alpha ) \sin( \beta )} \bigg)^{2} \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \sin^{2} ( \alpha + \beta ) \bigg( \dfrac{\cos( \alpha - \beta ) }{ \cos( \beta ) \cos( \alpha) \sin( \alpha ) \sin( \beta )} \bigg)^{2} \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \dfrac{4\sin^{2} ( \alpha + \beta ) \cdot\cos^{2} ( \alpha - \beta ) }{ \left \{2\cos( \alpha ) \cos( \beta ) \cdot 2\sin( \alpha ) \sin( \beta ) \right \}^{2} } \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \dfrac{4\sin^{2} ( \alpha + \beta ) \cdot\cos^{2} ( \alpha - \beta ) }{ \left \{\cos( \alpha + \beta ) + \cos( \alpha + \beta ) \right \} ^{2} \left \{ \cos( \alpha - \beta ) - \cos( \alpha + \beta ) \right \}^{2} } \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \dfrac{4\sin^{2} ( \alpha + \beta ) \cdot\cos^{2} ( \alpha - \beta ) }{ \left \{ \cos^{2} ( \alpha - \beta ) - \cos^{2} ( \alpha + \beta ) \right \}^{2} } \\\end{gathered}[/tex]
[tex]\begin{gathered} \implies y= \dfrac{4\sin^{2} ( \alpha + \beta ) \cdot\cos^{2} ( \alpha - \beta ) }{ \left \{ \cos^{2} ( \alpha - \beta ) - 1 + \sin^{2} ( \alpha + \beta ) \right \}^{2} } \\\end{gathered}[/tex]
Putting the values given above, we get,
[tex]\begin{gathered} \implies y= \dfrac{4 \cdot \dfrac{1}{9} \cdot\dfrac{4}{9} }{ \left \{ \dfrac{4}{9} - 1 + \dfrac{1}{9} \right \}^{2} } \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \dfrac{\dfrac{16}{81} }{ \left \{ \dfrac{5}{9} - 1\right \}^{2} } \\\end{gathered}[/tex]
[tex]\begin{gathered} \implies y= \dfrac{\dfrac{16}{81} }{ \left \{ \dfrac{5 - 9}{9}\right \}^{2} } \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \dfrac{\dfrac{16}{81} }{ \left \{ \dfrac{- 4}{9}\right \}^{2} } \\\end{gathered}[/tex]
[tex]\begin{gathered} \implies y= \dfrac{\dfrac{16}{81} }{ \dfrac{16}{81}} \\\end{gathered} [/tex]
[tex]⟹y=1[/tex]
A circular dartboard with a diameter of 24 inches has a circular bullseye at its center. The diameter of the target is 10 inches. If a poorly thrown dart is equally likely to hit anywhere on the dartboard, what is the probability of it hitting the target? (Write your answer as a fraction.)
The value of the probability of hitting the target is 0.1736.
According to the statement
We have to find that the value of the probability.
So, For this purpose, we know that the
Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.
From the given information:
A circular dartboard with a diameter of 24 inches has a circular bullseye at its center. The diameter of the target is 10 inches.
Then
Area of a circular dartboard = [tex]\pi r^{2}[/tex]
Area of a circular dartboard = [tex](3.14)* 12^{2}[/tex]
Area of a circular dartboard = [tex](3.14) *144[/tex]
Area of a circular dartboard = 452.16 inches
And then
Area of a circular bullseye = [tex]\pi r^{2}[/tex]
Area of a circular bullseye = [tex](3.14)* 5^{2}[/tex]
Area of a circular bullseye = [tex](3.14) * 25[/tex]
Area of a circular bullseye = 78.5
Then
Probability of hitting the target = Area of a circular bullseye / Area of a circular dartboard
Probability of hitting the target = 78.5 / 452.16
Probability of hitting the target = 0.1736.
So, The value of the probability of hitting the target is 0.1736.
Learn more about Probability here
https://brainly.com/question/24756209
#SPJ9
How would you find the missing number in a mean sequence where you only know one number? (and also the mean of the known number and the missing number)
Step-by-step explanation:
The mean of a set of numbers is the average of those numbers. You can find the mean by adding the set of numbers and dividing by how many numbers are given. If you are given the mean and asked to find a missing number from the set, use a simple equation.
Add up the numbers you know. The problem states a mean of 58 with this set of numbers: 43, 57, 63, 52 and x. Assign the missing number a value of “x.” So add 43, 57, 63 and 52 to get 215.
Set up your equation by adding 215 plus “x” (the missing number), divided by 5, the number of values given. Set that side of the equation equal to the mean, 58. So, your equation would look like this: [tex] \frac{215+x}{5} = 58 [/tex]
Multiply each side by 5 since our goal is to get “x” by itself. This process cancels the 5 on the left side of the equation and gives you 290 on the right side (58 × 5). Now, your equation should look like this: [tex] 215+x=290 [/tex]
Subtract 215 from each side as you continue to work to get “x” alone. This cancels out the 215 on the left side of the equation and gives you 75 on the right side. Now, your equation should show that x = 75. Therefore, the missing number is 75.
Check the missing number by adding all the numbers together and dividing by 5.
[tex] \frac{43+57+63+52+75}{5} = \frac{290}{5} = 58 [/tex]
Juan and his children went into a restaurant where they sell drinks for $2 each and tacos for $4 each. Juan has $40 to spend and must buy a minimum of 11 drinks and tacos altogether. If xx represents the number of drinks purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
The system of inequalities for the given situation is x+y≤11 and 2x+4y≥40.
Given that, the cost of each drink = $2 and the cost of each taco = $4.
What is a system of inequalities?A system of inequalities is a set of two or more inequalities in one or more variables. Systems of inequalities are used when a problem requires a range of solutions, and there is more than one constraint on those solutions.
x represents the number of drinks purchased and y represents the number of tacos purchased.
Juan has $40 to spend and must buy a minimum of 11 drinks and tacos altogether.
So inequalities are x+y≤11 and 2x+4y≥40
Therefore, the system of inequalities for the given situation is x+y≤11 and 2x+4y≥40.
To learn more about inequality visit:
https://brainly.com/question/17557685.
#SPJ1
Let A = {10, 20, 30, 40, 50, 60} and B = {10, 20, 50}. What is A ∩ B?
A∩B = {10, 20, 50}
The given two function is
A = { 10, 20, 30, 40, 50, 60}
B = { 10, 20, 50}
We have to find the value of function of A∩B
A∩B means the number which is common in both the function,
The number common in function A and B is 10, 20, 50.
Therefore the function A∩B = {10, 20, 50}
To know more about the function refer to the link given below:
https://brainly.com/question/11624077
#SPJ1
Integrate the following function:
Answer: None of these
Step-by-step explanation:
First term
[tex]\int 12e^{12t} \text{ } dt=12 \int e^{12t} \text{ } dt=e^{12t}+C[/tex]
Second term
[tex]\int \sqrt[3]{27t} \text{ } dt=3\int t^{1/3} \text{ } dt=\frac{9}{4}\sqrt[3]{t^4}+C[/tex]
Third term
[tex]\int \frac{5}{t} \text{ } dt=5 \int \frac{1}{t} \text{ } dt=5\ln t+C[/tex]
Fourth term
[tex]\int 15 \text{ } dt=15t+C[/tex]
Adding these integrals, we get
[tex]\int g(t) \text{ } dt=e^{12t}+\frac{9}{4}\sqrt[3]{t^4}+5\ln t+15t+C[/tex]
which matches none of the options.
set of numbers divisible by 3 from 5 to 25
Set-Bulider Notation
Roaster Method
Step-by-step explanation:
(6, 9, 12, 15, 18, 21, 24)
The weight of water is 62 1/2 lbs per cubic foot. How many cubic feet would be occupied by 160 lbs of water
Answer:
32.86.
Step-by-step explanation:
I FOUND this answer because...
PLS HELP THIS IS DUE FIRST THING TMR
Answer:
a=25
b=90
c=45
d=25
e=90
g=130
h=50
i=130
k=85
l=95
n=95
Step-by-step explanation:
Jack and Jill shared
1
2
of a cake. Jack got to eat twice as much cake as Jill. What
fraction of the whole cake did Jack eat?
The fraction of the whole cake did Jack eat = 1/3.
What precisely is a fraction in mathematics?A fraction is a portion of a whole. In arithmetic, each number is expressed as a quotient, which is the numerator divided by the denominator. In a simple fraction, these are both integers. A complicated fraction contains a fraction in either the numerator or denominator.
According to the given data:Jack's share of the total cake is 1/3
Total fraction of cake = 1/2
Let :
Jill's share = x
Jack's share = 2x
Jack's share + Jill's share = total fraction of cake
x + 2x = 1/2
3x = 1/2
x = (1/2 ÷ 3)
x = (1/2 × 1/3)
= 1/6
Jack's share:
= 2x
= 2(1/6)
= 2/6
= 1/3
So,
Jack's share of the cake is 1/3.
To know more about fraction visit:
https://brainly.com/question/10354322
#SPJ9
2) What is the area of figure ABCD, in
square centimeters?
8 cm.
6 cm
6 cm
B
15 cm
Answer:
138cm^2
Step-by-step explanation:
Trianle area = (b*h)/2
b = 8cm + 15cm
h = 6cm
Triangle area = (23*6)/2
138/2 = 69cm^2
Upper triangle area
--------------------------------
since both triangles share the same base and height
69*2 = 138cm^2
Suppose a single fair die is rolled. Find the probability that it a is a 6, given that it is an even number.
The probability is?
Explanation:
"given it is an even number" tells us that the outcomes could be anything from this set {2,4,6}. We ignore the odd numbers entirely.
We have one copy of "6" out of three total items.
Therefore, we end up with a probability of 1/3
This is approximately equal to the decimal form 0.333 and the percent form 33.3%
I would stick to the fraction form since it's most exact. However, if your teacher instructs otherwise then be sure to follow said instructions of course.
please help the answer is 97 but i want to know the process of doing it ASAP
Answer:
97
Step-by-step explanation:
You want the value of the composition of functions f and g for x=4.
CompositionThe ring operator signifies a composition of functions. It works right to left. That is, ...
[tex](f\circ g)(x)=f(g(x))[/tex]
A composition is evaluated using the Order of Operations, working from inner parentheses outward.
Application[tex](f\circ g)(4)=f(g(4)) = f(3-\dfrac{1}{2}4^2)=f(-5)\\\\=4(-5)^2-3=100-3=\boxed{97}[/tex]
given g(x) = 2x/x-2, x≠2. find g¹³(8)
Answer:
8/3
Step-by-step explanation:
[tex]g^2 (x)=\frac{2\left(\frac{2x}{x-2} \right)}{\frac{2x}{x-2}-2} \\ \\ =\frac{4x}{2x-2(x-2)} \\ \\ =\frac{4x}{4} \\ \\ =x[/tex]
From this, we can see that g(x) is its own inverse. Thus, [tex]g^{13}(x)=g(x)[/tex]
So,
[tex]g^{13}(8)=\frac{2(8)}{8-2}=8/3[/tex]
QUICK IM TIMED
Solve the simultaneous question x-2y=10 X=6y+2
Answer:
x = 32
y = 5
Step-by-step explanation:
2y=10
X=6y+2
Put both equations in the same format
x - 6y = 2
Manipulate the equations so that they have a common coefficient
6y = 30
Solve for one coefficient
(x - 6y = 2) + (6y = 30)
x + (-6y + 6y) = 2 + 30
x = 2 + 30
x = 32
Solve for the other coefficient
2y = 10
y = 5
x - 6y = 2
32 - 6y = 2
-6y = 2 - 32
-6y = -30
y = -30/-6
y = 5
The sum of two and eight times a number is -134. What is the number?
A) Translate the statement above into an equation that you can solve to answer this question. Do not solve
it yet. Use z as your variable.
The equation is
B) Solve your equation in part [A] for x.
Answer: x =
Answer:
A) 2 + 8x = -134
B) x = -17
Step-by-step explanation:
Note: I am assuming the question says use x as a variable, not z. Otherwise part B does not make sense
If we let variable x be the number then
8 times a number ==> 8x
2 and 8 times a number ==> 2 + 8x
2 and 8 times a number is -134 ==> 2 + 8x = -134
A) Equation form is 2 + 8x = -134
B) Equation is
2 + 8x = -134
Subtract 2 from both sides:
2 - 2 + 8x = -134 - 2
8x = -136
Divide both sides by 8 to give
8x/8 = -136/8
x = - 17