Hi there! Use the difference of two squares formula below:
[tex] \large \boxed{ {x}^{2} - {y}^{2} = (x + y)(x - y)}[/tex]
You need to know that what number times itself and get 16. 16 comes from 4×4 or 4².
Then,
[tex] \large{ {x}^{2} - 16 = (x + 4)(x - 4)}[/tex]
[tex] \large{(x + 4)(x - 4) = 0}[/tex]
Solve the equation for all real values of x.
[tex] \large{x = 4, - 4}[/tex]
If you don't like using a formula. You can do this:
[tex] \large{ {x}^{2} - 16 = 0} \\ \large{ {x}^{2} = 16} \\ \large{x = \pm \sqrt{16} } \\ \large{x = \pm 4}[/tex]
If you remember the square root well, the square root of 16 is 4×4. Pull out the two 4's and thus the square root of 16 is 4.
For the square both sides method above (second method), we can define that:
[tex] \large \boxed{ \large{ {x}^{2} = a \longrightarrow x = \pm a }}[/tex]
Answer
x = 4,- 4 (You can answer x = ±4Mr. Poplin asked his students to write the following expression: "Two to the fifth power plus seven squared" Which answer choice shows this expression? A 52 - 27 B (2-5) + (7.2) © 25-74 D 2572
Answer:
B
Step-by-step explanation:
they rest The two by five and separate the square
Drag each label to the correct location on the image.
Here is a multiplication sentence:
1 x (4 x 4) = 16
Drag the numbers and the parentheses to create an equivalent multiplication sentence that illustrates the associative property of
multiplication
Answer:
4 x (1 x 4) = 16
Step-by-step explanation:
1 x 4 = 4
4 x 4 = 16
Will give brainliest
Answer:
I think the car's acceleration is 20 mph forward
Answer:
20m/s^2
Step-by-step explanation:
Acceleration is (Change in velocity÷change in time)
(20-0)÷ (1-0)
20
A is a finite non-empty set. The domain for relation R is the power set of A.(Recall that the power set of A is the set of all subsets of A.) For X⊆ A and Y ⊆A, X is related to Y if X is a proper subsets of Y (i.e., X ⊆Y). Choose the description that accurately describes relation R.
a. Symmetric and Reflexive
b. Anti-symmetric and Reflexive
c. Symmetric and Anti-reflexive
d. Anti-symmetric and Anti-reflexive
Answer:
The answer is "Choice D"
Step-by-step explanation:
Determining the information:
For "[tex]X \subseteq A[/tex] " and "[tex]Y \subseteq A[/tex]", [tex]X[/tex] relates to [tex]Y[/tex] when [tex]X[/tex] and [tex]Y[/tex] has the same cardinality. therefore, R does not have reflective:
For every "[tex]X \subseteq A[/tex]", "[tex]X= X[/tex]" So, X not proper subset of[tex]X[/tex]. So, R does not havereflexive.
R does not have symmetry:
For every "[tex]X \subseteq Y[/tex]" ,then, "[tex]Y \subset X[/tex]" is not true because [tex]X[/tex] not relate to [tex]Y[/tex]. So, R is not symmetric.
R does not have antisymmetric:
When [tex]X[/tex] relates to [tex]Y[/tex] and [tex]Y[/tex] is relate to [tex]X[/tex], then "[tex]X \subset Y[/tex]" and "[tex]Y \subset X[/tex]"[tex]\to X=Y[/tex]
Therefore, R is anti-symmetric.
Asap,,,,,,,,,,,,,,,,,,,,,
Answer:
3n^2 -24n+36
Step-by-step explanation:
W
Simplify the expression to
V3
6/3
divided by
2/3
solve the equation
f(n)=10⋅2n for n = 5
Answer:
f(5) = 100
Step-by-step explanation:
f(n) = 10•2n for n = 5
for n = 5 means we will plug in 5 for every instance of n.
f(5) = 10•2(5)
Multiply.
f(5) = 10•10
Multiply.
f(5) = 100
Hope this helps!
4. Tyquan had his car towed by Lakeview's Towing Service. It cost him $3.00 per mile to have it towed
plus a flat fee of $70.00. The function for his cost is represented by the function C(m) = 3m + 70. What
does C(22) represent in this situation?
a. Tyquan had hisbear towed for 136 mile and it cost $22.00
b. Tyquan had his car towed for 22 miles and it cost him $136.00
c. Tyquan had his car towed for 3 miles at $70.00
d. Tyquan had his car towed 22 miles for $70.00
Answer:
B is the answer trust me I already took the math.
Step-by-step explanation:
What is the miss angle in F?
Answer:
45
Step-by-step explanation:
The two angles add to 90 degrees since they are a right angle
F + 45 = 90
F = 90-45
F = 45
At the beach, 49% of people have red towels and 11% have blue towels. If the
rest have white, what percentage of the people at the beach have white
towels?
Answer: 40%
Step-by-step explanation:
Percentage of people that have red towels = 49%
Percentage of people that have blue towels = 11%
Therefore, the percentage of the people at the beach have white
towels will be:
= 100% - (49% + 11%)
= 100% - 60%
= 40%
Therefore, the answer is 40%.
Answer:
40%
Step-by-step explanation:
Just took the test
if Lisa is 12 years old now how old was she at the age at 1/4 of her current age
Answer:
3
Step-by-step explanation:
12/4=3
A two-sample t-test for a difference in means will be conducted to investigate whether the average amount of money spent per customer at Department Store M is different from that at Department Store V. From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40. From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35. Assuming a null hypothesis of no difference in population means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means?
The test statistic is 1.145 for the appropriate test to investigate whether there is a difference in population means.
A test statistic is a numerical value calculated from sample data in hypothesis testing.
Given that
Sample 1: Store M
Sample size, [tex]n_1[/tex] = 35,
Sample mean, [tex]\bar{X_1}[/tex] = 300,
Standard deviation, [tex]s_1[/tex] = 40.
Sample 2: Store V
Sample size, [tex]n_2[/tex] = 40,
Sample mean, [tex]\bar{X_2}[/tex] = 290,
Standard deviation, [tex]s_2[/tex] = 35.
The null hypothesis, [tex]H_o[/tex] : there is no difference in population means, i.e.,
[tex]\mu_1 =\mu_2[/tex].
The alternate hypothesis, [tex]H_1[/tex] : there is a significant difference in population means, i.e.,
[tex]\mu_1 \neq\mu_2[/tex].
Under the null hypothesis, the test statistic is
[tex]t = \dfrac{\bar{X_1}-\bar{X_2}}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]
[tex]= \dfrac{300-290}{\sqrt{\frac{40^2}{35}+\frac{35^2}{40} }}\\=\dfrac{10}{\sqrt{\frac{1600}{35}+\frac{1225}{40} }} \\=\dfrac{10}{\sqrt{45.714+30.625 }} \\=\dfrac{10}{\sqrt{76.339 }}\\=\dfrac{10}{8.737}\\=1.145[/tex]
Hence the test statistic is 1.145.
Learn more about test statistics here:
https://brainly.com/question/34153666
#SPJ12
Here is a system of equations. Is (1,3) a solution to this system of equations? Explain how determined your answer. Show your work!
4x + 5y = 19
x + 5y = 16
Can someone help me step by step with this probelm please thanks a lot
PLEASE HELP WILL CROWNNNNNN!!!!!
Answer:
12
7
2
- 3
- 8
Step-by-step explanation:
f ( - 2 )
= 2 - 5 ( - 2 )
= 2 - ( - 10 )
= 2 + 10
= 12
f ( - 1 )
= 2 - 5 ( - 1 )
= 2 - ( - 5 )
= 2 + 5
= 7
f ( 0 )
= 2 - 5 ( 0 )
= 2
f ( 1 )
= 2 - 5 ( 1 )
= 2 - 5
= - 5 + 2
= - 3
f ( 2 )
= 2 - 5 ( 2 )
= 2 - 10
= - 10 + 2
= - 8
The train will take one hour, then the bus will take two and a half hours. I need to allow half an hour to change between them. How long will the whole journey take?
Answer:
Step-by-step explanation:
answer: 4 hours
The Journey will take 4 hour.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
The train will take one hour.
and, bus will take two and a half hours.
Also, half an hour to change between them.
So, the total time taken is
= 1 + 2.5+ 0.5
= 4 hours
Hence, the total hour is 4 hour.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
5/14 x 7/30 in its simplest form
Answer:
Step-by-step explanation:
1/12
The cost of making a shirt is half of what the shirt normally sells for. Today, however, the shirt is 15% discount feom it’s normal price. What is the current price of the shirt.
PLEASE HURRY
Tameron rolls a 6-sided die 3 times.
What is the probability that he rolls a 5 on every roll?
A. 1/216
B. 3/216
C. 1/64
D. 3/64
Answers:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
f. 10 20
30 40 50
60 70
20
Answer the following questions on multiples.
a. Write down the multiples of three from 474 to 483.
b. Write down the multiples of 5 between 718 and 733.
е
are 120,725,730.
c. Which of the following numbers in
Answer:
i don't understand the question please
What is the answer for this question above
7 pts
You are making hamburgers for a barbeque with your family and bought 10 2/3 pounds of ground beef. If you want to make 1/3 pound hamburgers, how many burgers can you make from the pounds of ground beef?
Which relation is also a function?
The relation represented by graph A can be stated as function.
Thus, option (A) is correct.
A) The graph have input values {-5, -4, 0, 3, 4, 7}
and, all input have distinct output values {7, 5, 0, -1, -5}.
So, the graph is function.
B) The set {(-8, 8), (-6, 5), (-6, 4), (-3, 1), (-1, 0)} is not function.
Here, the input value -6 have two distinct output 5 and 4.
C) The table is not function.
Here, the input value 15 have outputs 2 and 3.
and 20 have two distinct output as 4 and 5.
D) The graph is not function as using verticals line test the curve have two same input value with different output value.
Thus, option (A) is correct.
Learn more about Relation here:
https://brainly.com/question/2253924
#SPJ4
I need help fast plz
You don’t need to show work
Step-by-step explanation:
uy6rhjf08yssyoludysyosyiwyeiwyowyiyiwywoyiw
What type of triangle is this triangle?
acute isosceles
obtuse isosceles
acute scalene
right isosceles
Answer:
Obtuse isosceles
Step-by-step explanation:
Since this is an obtuse isosceles triangle, the two missing angles must be acute angles.
Answer:
obtuse isosceles
Step-by-step explanation:
im kinda bad but since the top angle is obtuse its an obtuse isosceles
Answer
2. 3/4 of Alice's salary is the same as 1/2 of Betty's salary. If Alice
earns $200 less than Betty, how much does Betty earn?
Answer:
Betty = $600
Step-by-step explanation:
3/4 of Alice's salary is the same as 1/2 of Betty's salary
(3/4)a = (1/2)b
multiply both sides by 2
(3/2)a = b
Alice earns $200 less than Betty
b - a = 200
Substitute for b
(3/2)a - a = 200
(1/2)a = 200
multiply both sides by 2
a = 400
b = (3/2)400
b = 600
What is the surface area of the pyramid?
-------------------
[tex]let ~b=8~m,h=6in[/tex]
[tex]SA=4(bh/2)+b^2[/tex]
[tex]=2(8)(6)+(8)^2[/tex]
[tex]=96+64[/tex]
[tex]=160in^2[/tex]
------------------------hope it helps...have a great day!!help i need the value of X
Answer:
x = 20
Step-by-step explanation:
The square signifies the angle is 90 degrees.
All triangle interior angles add up to 180 so:
2x + 10 + 40 + 90 = 180
2x + 140 = 180
2x = 180 - 140
2x = 40
x = 20
Answer:
20
Step-by-step explanation:
2x + 10 + 40 + 90 = 180
2x + 140 = 180
180 - 140 = 40
40 / 2
20
x = 20
The nth term of sequence is n2 + 20
Work out the first three times of sequence
How many times in the sequence are less than 50
Answer:
First three terms:
22,24,26
There are 15 terms in the sequence that are 50 or less, yet only 14 if its just less than 50.
Answers:
The first three terms are 21, 24, 29
5 terms of the sequence less than 50.
======================================================
Explanation:
Plug in n = 1 to find that n^2+20 = 1^2+20 = 1+20 = 21. The first term is 21.
Repeat for n = 2 and you should get 2^2+20 = 24 as the second term.
The third term is 29 through similar steps, but this time you use n = 3 of course.
The first three terms are 21, 24, 29
It's effectively the first three perfect squares 1, 4, 9 but we have a tens digit of 2 stuck to the left of each value.
--------------------
We want to find when n^2+20 is less than 50. We could keep plugging values of n into that expression and record if the result is less than 50 or not, then tally those occurrences. You should record 5 such occurrences.
Or we could do a bit of algebra like so
n^2+20 < 50
n^2 < 50-20
n^2 < 30
sqrt(n^2) < sqrt(30)
n < sqrt(30)
On a calculator, sqrt(30) is roughly 5.4772 which means n < 5.4772. If n is a a natural number, then the largest it can get is n = 5 to ensure n^2+20 is less than 50.
We can see that,
n^2+20 = 5^2+20 = 45 when n = 5n^2+20 = 6^2+20 = 56 when n = 6This helps show that n = 5 is the largest n to make n^2+20 < 50 a true statement. This means that there are 5 terms of the sequence less than 50.
PLS HELP IF U WOULDNT MIND
Answer:
64 cm³
Step-by-step explanation:
The figure can be decomposed to two rectangular prism, one smaller person on top and one bigger prism beneath.
Volume = volume of smaller rectangular prism + volume of bigger rectangular prism
✔️Volume of smaller rectangular prism = L*W*H
L = 2 cm
W = 2 cm
H = 8 - 4 = 4 cm
V = 2*2*4
V = 16 cm³
✔️Volume of bigger rectangular prism = L*W*H
L = 6 cm
W = 2 cm
H = 4 cm
V = 6*2*4
V = 48 cm³
✔️Volume of the figure = 16 + 48 = 64 cm³