Hey there! I'm happy to help!
A perfect square is a number whose prime factors can be multiplied together to obtain two identical factors.
Look at 64. It's prime factors are 2×2×2×2×2×2. If we multiply these 2's together to obtain two identical numbers, then 64 is a perfect square.
We see that there are six twos being multiplied. So, that means we have two groups of three twos, and since they both have three twos, they are identical! Three twos multiplied is 8, and 8²=64. Pretty cool right?
Now, we need to find identical groups of these numbers. We have two sevens, two 2's and one three. We could have two groups with one 7 and one 2, but this extra 5 would throw it off balance, so we cannot obtain two equal numbers from this.
Therefore, this number is not a perfect square.
I hope that this helps! Have a wonderful day!
Does anyone know the answer to this?
Answer:
B
Step-by-step explanation:
X is the domain.
The function comes from -∞ and goes to ∞
So B is the answer.
Which of the following function pairs are inverses? Options and questions below:
Answer:
Second choice
Step-by-step explanation:
To find inverses, we follow the steps:
1. exchange variables x and y
2. solve for y in terms of x.
The resulting function is the inverse.
Take case 2 as an example:
f(x) = y = 2x-3
1. exchange x and y : x=2y-3
2. solve for y: x+3=2y => y=(x+3)/2 = g(x)
Since the inverse of f(x) is g(x)=(x+3)/2, the second choice is the answer.
Problem number 26 of the Rhind Papyrus says: Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of itself the result is a 15. The modern day equation that models this problem is x plus StartFraction 1 over 4 EndFraction x equals 15..
THIS IS THE COMPLETE QUESTION BELOW
Problem number 26 of the Rhind Papyrus says:
Find a quantity such that when it is added to ¼ of itself the result is 15.
The modern day equation that models this problem is x +
¼x = 15. What is the solution to the equation?
A) x = 10
B) x = 12
C) x = 15
D) x = 30
Answer:
The quantity is X= 12
The solution is 12+ ¼(12)= 15
Step by step Explanation
Problem number 26 states " "
The question above can be represented as this,
x + ¼x = 15
Here we want to find the value of x in such a way that when that value is substitute in the expresion we have 15 as our answer,But here we can perform some manipulation, by saying
4/4x + ¼x = 15 ..............eqn(1)
Even with this we can still get the above expression by saying
4/4x= x which means we're still correct.
Then the expresion eqn(1) can simplified as
5/4x = 15
If we multiply both sides by 4/5 we have
=(5/4x)×(4/5)
= 15×(4/5)
= (15/1)×(4/5)
X= 60/5
X = 12
The quantity is X= 12 and the solution is
12+ ¼(12)= 15
Answer:
b
Step-by-step explanation:
Please answer if in two minutes
Answer:
y = 7
z = 1
Step-by-step explanation:
If the triangles are congruent
AB = QR
y+ 34 = 41
Subtract 34 from each side
y = 41-34
y = 7
and QP = BC
38 = z+37
Subtract 37 from each side
38-37 = z
1 =z
Answer:
y = 7
z = 1
Step-by-step explanation:
The triangles are congruent, the length of the sides are equal.
y + 34 = 41
y = 41 - 34
y = 7
z + 37 = 38
z = 38 - 37
z = 1
Evaluate [(30 + 6) − 32] ÷ 9 ⋅ 2. (1 point) im doubting myself
Answer:
8/9
Step-by-step explanation:
Order of operations: Parentheses first.
(30+6)=36,
Then subtract 32
36-32 = 4
Left to right, so don't divide by 18. Instead, divide by 9.
4/9 = 4/9
4/9 times 2/1 = 8/9
Answer:
6
Step-by-step explanation:
i took the test
Which of the following r-values represents the strongest correlation?
Answer:
A. -0.91
Step-by-step explanation:
Correlation coefficient is represented by values from -1 to 1. The closer the value is to -1 or 1, the stronger the correlation coefficient, which indicates that the data points being plotted on a scatter plot are clustered more closely along the best line of fit.
Correlation could be positive or negative.
If negative, it means, as one variable increases, the other variable decreases also. But, if positive, it means as one variable increases, the other variable increases also, or as one variable decreases, the other decreases also. Both change in the same direction.
A correlation coefficient that has a value closer to -1 shows a strong negative correlation. Meaning, the data points are clustered closely along the line slope on the scatter plot.
Therefore, r-value that is the strongest among the given options in the question is -0.91.
The answer is A. -0.91.
Evaluate the equation (-3/2)^4
Answer:
[tex]-81/16[/tex]
Step-by-step explanation:
[tex](-3/2)^4[/tex]
Apply exponent to numerator and denominator.
[tex]-3^4/2^4[/tex]
Solve for exponent.
[tex]-81/16[/tex]
Help me please as fast as fast as you can 20 points!!
Answer:
see below
Step-by-step explanation:
4! = 4*3*2*1 = 24
10 C3 = 10 CHOOSE 3 =10! /(3! (10 - 3)!) = 10! / 3! * 7! = 10*9*8 / 3*2*1 = 120
7P3 = permutation = 7! / (7-3)! = 7! /4! = 7*6*5 = 210
State if a triangle is acute ,obtuse, or right
Answer:
It is an acute angle due to the angle formed at the vertex being less than 90 degrees
Answer:
acute triangle
Step-by-step explanation: sorry no step by step explanation i am in a rush anyway have a great day bye!!! :D please give brainliest
Tanesha can make 3 scrapbook albums in 2 hours. How long will it take her for to make 105 albums?
Answer: 70 hours
Step-by-step explanation:
First do 105/3(35) Then multiply 35*2(70)
ASAP! A company makes a profit from selling yo-yos at their store. Each yo-yo sells for $8.00 and they must also pay a store clerk to sell them. This clerk makes a flat fee of $50.00 a day. Write an equation that describes the profit of the store makes in a day.
Answer:
The equation that describes the profit the store makes in a day that X units of yo-yo is sold is P= X × $8.00 - $50.00
Step-by-step explanation:
The information given are;
The price of each yo-yo = $8.00
The only available cost is the store clerk fee cost per day = $50.00
Let us call the number of yo-yo's sold per day as X
Therefore, the amount sold per day = X × $8.00
The company's profit, P = Total sales - Total cost
∴ P= X × $8.00 - $50.00
Therefore, the equation that describes the profit the store makes in a day that X units of yo-yo is sold = P= X × $8.00 - $50.00.
Please help ASAP ‼️‼️‼️‼️‼️‼️
Answer:
B. [tex]\bold{g(x)=(\frac12x)^2}[/tex]Step-by-step explanation:
vertex of g(x) is (0, 0), so:
[tex]g(x)=a(x-0)^2+0\\\\g(x)=ax^2 \qquad and\qquad (2,\,1)\in g(x)\\\\1=a\cdot2^2\\1=4a\\a=\frac14\\\\g(x)=\frac14x^2=(\frac12x)^2[/tex]
What is the volume of the prism below?
Answer:
75 cubic feet
Step-by-step explanation:
The volume of a prism is given by v=bh where b is the base and h is the height. In this case, the base is 25 square feet and the height is 3 ft so 25*3=75 cubic feet.
Answer:
75ft^3
Step-by-step explanation:
Well to find the volume of the following prism we would need the length, width, and height but in this scenario we only have the B and the height.
So we have to do it a different way.
Another way of doing it is B*h which is 3*25 which is 75ft^3.
If Z1 = 12 + 6݅ and Z2 = a + bi (where a, b ∈ R) are two complex number, we can say that the product Z1Z2is imaginary A) If and only if ܽ = ܾ = 0 B) If b = 2a C) If a = −2b D) for each value of a and b
Answer:
A) if and only if a = 0
Step-by-step explanation:
Since Z1 = 12 + 6݅ and Z2 = a + bi , then the product, Z1Z2 = (12 + 6)(a + bi)
Z1Z2 = (12 + 6)(a + bi)
Expanding the brackets, we have
Z1Z2 = 12a + 12bi + 6a + 6bi
Collecting like terms, we have
Z1Z2 = 12a + 6a + 12bi +6bi
Z1Z2 = 12a + 6a + (12b +6b)i
Simplifying, we have
Z1Z2 = 18a + 18bi
For Z1Z2 to be imaginary, then the real part must be zero.
That is 18a = 0 ⇒ a = 0
So, Z1Z2 is imaginary if and only if a = 0
Jo is buying a shirt for $15 and a pair of pants for $25. She has a coupon for 20% off the pants. What amount will she pay before tax?
Answer:
$20 for the pants $35 in total
Step-by-step explanation:
Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2? g(x) = –9(x + 1)2 – 7 g(x) = 4(x – 3)2 + 1 g(x) = –3(x – 4)2 – 6 g(x) = 8(x – 3)2 – 5
Answer:
[tex]g(x) = 8\cdot (x-3)^{2}-5[/tex]
Step-by-step explanation:
Given that parent function represents a parabola, the standard form with a vertex at (h,k) is now described:
[tex]y-k = C\cdot (x-h)^{2}[/tex]
[tex]y = C \cdot (x-h)^{2} + k[/tex]
Where:
[tex]x[/tex], [tex]y[/tex] - Independent and dependent variables, dimensionless.
[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical component of the vertex, dimensionless.
[tex]C[/tex] - Vertex factor, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, there is an absolute maximum).
After reading the statement of the problem, the following conclusion are found:
1) New function must have an absolute minimum: [tex]C > 0[/tex]
2) Transformation to the right: [tex]h > 0[/tex].
3) Transformation downwards: [tex]k < 0[/tex]
Hence, the right choice must be [tex]g(x) = 8\cdot (x-3)^{2}-5[/tex].
Answer:
Choice D
Step-by-step explanation:
Took the test
Describe in words the end behavior of f(x)=-5x^4
Answer:
see below
Step-by-steK and P are real numbers and K is called the coefficient first find the power of the providers function is even or odd the functions power is for which is even then find the constant coefficient is negative or positive functions constant is -5 which is negative
William purchase a new car the total price for he will pay for the car including interest in 17,880 if he splits his car payment over 60 months how much will he pay each month
Answer:
The Amount amount he pays each month is 298
Step-by-step explanation:
Given:
Total amount of new car (including interest) = 17,880
Payment is splited over 60 months i.e time = 60 months
Required:
How much will be paid each month
To find the amount to be paid each month use the formula:
Monthly payment = Total amount / time
[tex] = \frac{17880}{60} = 298 [/tex]
Therefore, the amount William pays each month is 298
Which theorem can you use to prove that GHJ and GKJ are congruent?
A. ASA
B. SAS
C. SSS
D. HL
Answer:
D) HL
Step-by-step explanation:
ΔGHJ ≅ ΔGKJ by HL Congruence rule.
What is Congruence?According to the hypotenuse-leg (HL) theorem, a right triangle is congruent if each of its hypotenuse and legs are congruent with their corresponding hypotenuse and legs in another right triangle.
Given:
In ΔGHJ and ΔGKJ
<H = <K= 90 degree
GJ= GJ {common}
GH= GK= 8 units.
Thus, ΔGHJ ≅ ΔGKJ by HL Congruence rule.
Learn more about Congruence rule here:
https://brainly.com/question/26157404
#SPJ5
(2*6)^3/2 in simplest form
Answer:
[tex]\sqrt{1728}[/tex]
Step-by-step explanation:
=> [tex](2*6)^{3/2}[/tex]
=> [tex](12)^{3/2}[/tex]
=> [tex]1728 ^{1/2}[/tex]
=> [tex]\sqrt{1728}[/tex]
Which expression is equivalent to -36 - 8−36, 36, minus, 8? Choose 1 answer: Choose 1 answer: (Choice A) A -36+(-8)−36+(−8)minus, 36, plus, left parenthesis, minus, 8, right parenthesis (Choice B) B -8+36−8+36minus, 8, plus, 36 (Choice C) C 8-368−368, minus, 36 (Choice D) D 36+836+8
Answer:
Choice A: -36 + (-8)
Step-by-step explanation:
We want to find the equivalent expression to -36 - 8
The correct option is Choice A.
Choice A is -36 + (-8)
The reason is that the product of the signs + and - is -, i.e.
+ * - = -
Hence, + (-8) is the same thing as -8 and Choice A becomes -36 - 8
JOJO help me I can't work good
Answer:
C. 46 degrees
Step-by-step explanation:
In a rotation all angles and side lengths are preserved so the angle measure will be the same in both the image and pre-image.
Answer:
C. 46°
Step-by-step explanation:
When you rotate a shape, it's angles and size do not change. The only things that change are its orientation and location.
Find the solution set. 8x^2-2x-3=0 separate the two values with with a comma.
Answer:
x = -1/2, 3/4
Step-by-step explanation:
Step 1: Factor
(2x + 1)(4x - 3) = 0
Step 2: Find roots
2x + 1 = 0
2x = -1
x = -1/2
4x - 3 = 0
4x = 3
x = 3/4
what is the greatest common factor of the polynomial below? 8x^2-4x
Answer:
4x
Step-by-step explanation:
8x^2 = 2*2*2 *x*x
4x = 2*2 *x
The greatest common factor is 2*2*x = 4x
Answer:
A
Step-by-step explanation:
8x² - 4x
Factor out the greatest common factor.
4x(2x) - 4x(1)
4x(2x - 1)
The greatest common factor of the polynomial is 4x.
Tinh has a triangle with side lengths 12 mm, 15 mm, and 18 mm. He wants to reduce the triangle by one-third, so he divides each side length and each angle measure by 3. Which describes Tinh’s reduction? Tinh’s reduction is incorrect; he should have only divided the side lengths by 3. Tinh’s reduction is incorrect; he should have only divided the angle measures by 3. Tinh’s reduction is incorrect; he should have multiplied the side lengths by 3 instead. Tinh’s reduction is incorrect; he should have multiplied the angle measures by 3 instead.
Tinh's reduction is incorrect. He should only divided the side lengths by 3.
Dividing the angle measures by 3 would make it into a completely different triangle.
Dividing only the side lengths will make the triangles slightly alike.
The answer is A.
Stay safe. God bless!
<3
- Elisha
The equation y=-6x-3 describes a function that is translated from a parent function write the equation of the parent function
Answer:
y = x
Step-by-step explanation:
It's a linear function. The parent linear function is y=x.
Can someone help me solve this?
What is side b? Thank you
Answer:
The answer is
b = 39.32 feetStep-by-step explanation:
To find side b we use cosine
cos ∅ = adjacent / hypotenuse
From the question
side c is the hypotenuse
side c = 48 feet
side b is the adjacent
∅ = 35°
We have
cos 35 = b/c
cos 35 = b / 48
b = 48 cos 35
b = 39.319
b = 39.32 feet to 2 decimal places
Hope this helps you
Answer:
b ≈ 39.32 ft
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos35° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{c}[/tex] = [tex]\frac{b}{48}[/tex] ( multiply both sides by 48 )
48 × cos35° = b, thus
b ≈ 39.32 ft ( to 2 dec. places )
I need help!!
The given equation has been solved in the table.
Step
Statement
1
47-7
77=
2
7 +7
3
= 0
4
2.5 = 2.0
5
= 0
In which step was the subtraction property of equality applied?
A.
step 2
OB.
step 3
c.
step 4
D.
The subtraction property of equality was not applied to solve this equation,
Lunch Combinations
Soup + Salad = $4.25
Soup + Sandwich = $4.75
Salad + Sandwich = $5.50
Ehat is the individual price of soup
Answer: Soup is $1.75
Step-by-step explanation:
Salad is $2.50
Sandwich is $3
Soup is $1.75
Answer:
Step-by-step explanation:
Answer: Soup is $1.75
Step-by-step explanation:
Salad is $2.50
Sandwich is $3
Soup is $1.75
Please answer this if you can! <3 (NO EXPLANATION REQUIRED!)