Answer:
16
Step-by-step explanation:
[tex]x^{2}[/tex] = [tex]x[/tex] multiplied by [tex]x[/tex]
so [tex]4^{2}[/tex] = 16
Answer:
16
Step-by-step explanation:
4 squared should look like this:
4²
That means we just multiply 4 twice:
4 x 4
16
Fred and Jimmy are brothers. Jimmys age is 5 more than twice the age of Fred. if the total of their ages is 23 years, how old is each one of them?
Answer:
Fred is 6
Jimmy is 17
Step-by-step explanation:
Jimmy's age =2x +5
Fred's age =x
x+2x+5=23
3x=23-5
3x=18
x=6
Jimmy's age =2(6)+5=17
Fred is 6
Find two positive numbers whose difference is 30 and whose product is 2584.
Answer:
[tex]38[/tex] and [tex]68[/tex].
Step-by-step explanation:
Let [tex]x[/tex] be the smaller one of the two number.
[tex]x[/tex] must be a positive integer. The other number would be [tex](x + 30)[/tex].
The question states that the product of the two numbers is [tex]2584[/tex]. In other words:
[tex]x\, (x + 30) = 2584[/tex].
Rearrange this equation and solve for [tex]x[/tex]:
[tex]x^{2} + 30\, x - 2584 = 0[/tex].
The first root of this quadratic equation would be:
[tex]\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}[/tex].
Similarly, the second root of this quadratic equation would be:
[tex]\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}[/tex].
Since the question requires that both numbers should be positive, [tex]x > 0[/tex]. Therefore, only [tex]x = 38[/tex] is valid.
Hence, the two numbers would be [tex]38[/tex] and [tex](38 + 30)[/tex], which is [tex]68[/tex].
9514 1404 393
Answer:
38 and 68
Step-by-step explanation:
Let x represent the average of the two numbers. Then their product is ...
(x -15)(x +15) = 2584
x^2 = 2584 +225 = 2809 . . . . . . use relation (x -a)(x +a) = x^2 -a^2; add a^2
x = √2809 = 53
Then the two numbers are ...
53 +15 = 68
and
68 -30 = 38
The two numbers are 38 and 68.
_____
Additional comment
Solving the problem in this way is equivalent to writing the quadratic equation for the smallest (or largest) number and solving that by completing the square. The "solution" x = -53 is not relevant in this problem.
Find n so that mean of the data set is 140. (120, 145, 130, 80, 95, 100, 340, n)
Answer:
Answer: n is 110
Step-by-step explanation:
Formular:
[tex]mean = \frac{ \sum(n_{1}, \: n _{2}, \: ...n_{n} ) }{n} \\ [/tex]
therefore:
[tex]140 = \frac{(120 + 145 + 130 + 80 + 95 + 100 + 340 + n)}{8} \\ \\ (8 \times 140) = 1010 + n \\ 1010 + n = 1120 \\ n = 1120 - 1010 \\ n = 110[/tex]
Walter car gets 41 miles per gallon. Walter is planning a vacation which is 372 miles away. How many gallons of gas will Walter use for this round trip?
I need help with this Math Problem- (I got 7/8 inches more.) Planning to attach a plywood panel with nails 1 3/4 long.The panel is 3/8 inch thick.And beneath the panel is sheetrock which is 1/2 inch thick. How many inches of the nail should go into the wood frame?
Thks again
9514 1404 393
Answer:
7/8 in (you are correct)
Step-by-step explanation:
The amount of nail that goes into the framing member is ...
1 3/4 -3/8 -1/2
= 1 6/8 -3/8 -4/8
= 1 -1/8 = 7/8 . . . . inches
solve the following equations by using cramer's rule
Answer:
where is question huh??can someone answer this please
edge2021
Answer:
Step-by-step explanation:
it apperes to me that all are rational numbers
Hope this helps
5/7-(-1/7) plz help I am confused
Answer:
[tex] \frac{6}{7} [/tex]
Step-by-step explanation:
[tex] \frac{5}{7} - ( - \frac{1}{7} )[/tex]
[tex] \frac{5}{7} + \frac{1}{7} [/tex]
[tex] = \frac{6}{7} [/tex]
What number should go in the empty boxes to complete the calculation for finding the product of 0.53 × 0.67?
(Hint: it is the same number. Input only one number in the blank.)
will give (brainlist)
Answer:
1st box: 1
2nd box: 1
Step-by-step explanation:
1: 3 * 7 = 21, so only put the 1 and carry the 2.
2: 5 * 6 = 30, but we have a 1 from the previous answer given so 31, but only put the 1.
I hope this helps :)
Why do we study statistics?
A. Because technological advances have introduced massive amounts of data into the world
B. Because statistics can be applied to every field of study
C. Because many of the statistical stories told in the media are misleading
D. All of the above
help me please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please
Answer:
B. Because statistics can be applied to every field of study
problem in photo 20 characters
Answer:
Step-by-step explanation:
i dont know but work hard
Someone please explain how to answer
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Answer:
A: ∠WXZ = 87°; ∠ZXY = 73°
Step-by-step explanation:
Ray XZ divides the angle WXY into parts that have a sum equal to the whole.
(7x-4)° +(5x+8)° = 160° . . . . . whole is sum of parts
12x = 156 . . . . . . . . . . . . . divide by °, subtract 4
x = 13 . . . . . . . . . . . . . . divide by 12
∠WXZ = (7x -4)° = (7·13 -4)° = (91 -4)° = 87° . . . . . matches choice A
What is the slope of a line that passes through points (-1, 4) and (4, 9)?
-1
1
3/5
5/3
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!helpppppppp
Answer:
2W + 56 = 78 , W = 10
Step-by-step explanation:
perimeter of rectangle = 2*the Length + 2*the Width
A polynomial is
if its only factors over the integers are 1 and itself.
Answer: Prime
A polynomial is prime if its only factors over the integers are 1 and itself.
==============================================================
Explanation:
Think of the idea of factoring whole numbers like factoring 36 into 6*6 which further breaks down into (2*3)*(2*3) = 2^2*3^2. This shows that 36 is composite and not prime.
Something like 7 is prime because the only factors are 1 and itself.
This idea extends into polynomials as well.
Something like x^2+4x+4 factors to (x+2)(x+2) which shows it is not prime. On the other hand, the polynomial x^2+3x+5 is prime over the integers because we cannot factor it like the previous example. The only factors here are 1 and itself.
Factoring is handy to help determine roots of a polynomial. However, other tricks could be used such as the quadratic formula or using numerical approximation techniques.
Factor by using the perfect square trinomial formula
x^2+4x+4
A. x^2 +4x+4=__
B. The poly. is prime
help on bothering please !!!!!reaangie nas perimeter
en
is in bana is with 25.
the value of m
En 182
Hn 224
Gn - 12.2
) -
The area of a rectangle is 134 + 2 square
units. The width is 9. The length is 6.
What is the length?
A 6.5
C 15.5
B 13
D 19
Answer:
6) F
7) B
Step-by-step explanation:
6)
[tex]\boxed{perimeter \: of \: rectangle = 2(length + breadth)}[/tex]
60= 2[½(n -6) +2n +5]
Expand:
60= 2(½)(n -6) +2(2n) +2(5)
60= n -6 +4n +10
Simplify:
60= 5n +4
Minus 4 on both sides:
5n= 60 -4
5n= 56
Divide both sides by 5:
n= 56 ÷5
n= 11.2
Thus, option F is correct.
7)
[tex]\boxed{area \: of \: rectangle = length \: \times breadth}[/tex]
13q +2= 9(q +6)
Expand:
13q +2= 9q +54
Bring q terms to one side, constant to the other:
13q -9q= 54 -2
Simplify:
4q= 52
Divide both sides by 4:
q= 52 ÷4
q= 13
Thus, option B is correct.
Mark all of the statements that are true.
O A. The domain for this function is the set {-5).
I B. The domain for this function is all real numbers.
C. This graph is not a function because the value of y is the same for
every value of x.
D. The range for this function is the set (-5).
I E. All real numbers are in the range of this function.
We have the graph of a function (say f(x)).
We have to determine which of the given statements are correct w.r.t this graph of f(x).
What do you mean by domain and range of a function?The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
According to the question, we have the equation of this line as -
y = -5.
The value of y is constant for every value of x. Therefore, the range of the function is Set → {- 5}.
The function has same value → y= -5 for all values of x, ranging from →
- ∞ to + ∞, Therefore, its domain is the set of all Real numbers.
A function can have same value of y for different values of x.
Hence, Option B and D are correct.
To solve more questions on domain and range, visit the link below-
https://brainly.com/question/27242650
#SPJ2
A case of 8 items costs $14.88 at costco. What is the price of each item
WHY NOBODY WANT TO HELP ME?
Answer:
X = 111°
I hope it's helps you
Help please will mark brainliest
Answer:
c no is correct pls mark me branilest
Answer:
(x, y) = (y, x). Exercise 1.3.4. Let X,Y,Z and W be nonempty sets. Then, prove the following statements
HELPPPPPPPPPPPP MEHHHHHHHHHHHHHH
Answer:
TranslationStep-by-step explanation:
A translation moves a shape up, down or from side to side but it does not change its appearance in any other way.
Here also, triangle ABC and triangle A'B'C' are equal only position is changed
Find the Sum
734,839 + 788,958
Answer:
1523797
Step-by-step explanation:
Have a good day, hope I helped
Answer:
1,523,797
Step-by-step explanation:
734,839 + 788,958
= 1,523,797
How to numerically write five and eight then multiply by 4
Answer:
5 + 8 × 4
Assuming "five and eight" means 5 + 8
In the past year Felipe watched 16 movies that he thought were very good. He watched 40 movies over the whole year. Of the movies he watched, what percentage did he rate as very good
Answer:
40%
Mark as Brainliest!
n!
Use:
n 'k k!(n-k)!
to solve the combination.
After a band parent meeting, each of
the ten members shook hands with
each other once. How many
handshakes were there in all?
Hint: Remember that one handshake involves
two people.
[?] handshakes
Can you guys please help with these questions I’m extremely stuck. It’s algebra 2 inverse functions.
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Answer:
The graph of a function and its inverse are reflections of each other in the line y=xFor each ordered pair (x, y) in a function, the corresponding ordered pair in the inverse function is (y, x)see the attachment for the tables of valuesStep-by-step explanation:
Consider the function and its inverse shown in the second attachment. The function is ...
f = {(a, 3), (b, 1), (c, 2)}
The inverse function is ...
f^-1 = {(3, a), (1, b), (2, c)}
You will notice that the "x" and "y" of each pair are swapped between the function and its inverse. That is the point of an inverse function. It gives you the input that caused the function to create the output. For example, the pair (3, a) in the above inverse function tells you that the output 3 was the result of an input of 'a' to the original function.
__
On a graph, the swapping of input and output is essentially equivalent to relabeling the axes. If we keep the same x- and y-axis labels, it is equivalent to reflecting the function graph across the line y=x. That reflection is represented by the transformation (x, y) ⇒ (y, x).
__
The point of the exercise here is for you to identify some ordered pairs of one of the functions and realize that the inverse function reverses their order. You are to see that the graph of the function and its inverse are reflections of each other across the diagonal line y=x.
In 5×7 = 35 the numbers five and seven are called ? in the number 35 is called the ?
Answer:
5 and 7 are factors
35 is the product
Step-by-step explanation:
5 and 7 are the factors
you multiply factors to get a product
35 is a product of the factors, 5 and 7
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A Greek mathematician named Pythagoras is said to have discovered the following number pattern. Find the next three sums by using inductive reasoning. Look for the pattern don't just add
1st row:1=1
2nd row: 1+3=4
3rd row: 1+3+5=9
4th row: 1+3+5+7=16
5th row: 1+3+5+7+9=?
6th row: 1+3+5+7+9+11=?
7th row: 1+3+5+7+9+11+13=?
I have a question if anybody answers the reward is brainlist
Whats 0÷0
Answer:
0
Step-by-step explanation:
You can't divide anything by zero
0÷0=
=0