Arithmetic
Bring all numbers in the parentheses to the third power.
[tex]( { - 5}^{3} \times {4}^{3} )[/tex]
It is easier to not simplify the numbers.
[tex] { - 5}^{3} \times {4}^{3} = { - 20}^{3} [/tex]
Don't add the exponents, and multiply the numbers.
The expression (–5 × 4)³ is equivalent to the expression –8000.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ (–5 × 4)³
Simplify the expression, we have
⇒ (–5 × 4)³
⇒ (–20)³
⇒ –20³
⇒ –8000
More about the equivalent link is given below.
https://brainly.com/question/889935
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Please help! I'll give brainlist
Which of the following expressions represents
the product of 3k and the sum of m and
one third of n?
Answer:
[tex]3k (m + \frac{1}{3}n)[/tex]
Step-by-step explanation:
Sum of m and one - third of n is :
[tex]= m + \frac{1}{3}n[/tex]
Product of 3k to the sum is :
[tex]=3k \times (m + \frac{1}{3}n)[/tex]
Find the volume of a pyramid with a square base, where the side length of the
base is 8.7 cm and the height of the pyramid is 13.1 cm. Round your answer
to the nearest tenth of a cubic centimeter.
Answer: V= 330.513 cm 3
Step-by-step explanation:
Area = l x w and with a square the length and width are the same, additionally the volume of a pyramid can be found by using the formula (L)(w)(h)/3 so
8.7 x 8.7 = 75.69cm^2
75.69 x 13.1 = 991.539
991.539 ÷ 3 = 330.513 cm^3
If you write a product using each prime factor of two polynomials the greatest number of times it occurs in the polynomial, you get the ____________ for the polynomials.
*PLEASE HURRY I ONLY HAVE 3 MINUTES*
least common denominator
least common multiple
mixed expression
mixed martial artist
Answer:
Mixed martial artist
Step-by-step explanation:
Solve for x in the triangle round your answer to the nearest tenth BRAINLIEST
Answer:
x = 16.4
Step-by-step explanation:
For right-angle triangles, we can use the trigonometry equations;
In this case, we need to use the sine equation in particular:
sinθ = opposite/hypotenuse
sin(66) = x/18
x = 0.91...(18)
x = 16.4438... ⇒ 16.4
Which would prove that triangle abc~triangle xyz? Select two options .
Answer:
ans: option 1st
Step-by-step explanation:
in similar triangle, corresponding sides are proportional to each other
Can someone Help me with this:
Felipe’s solution to an equation is shown below:
Given: x^2+6x+8=0
Step 1: (x+2)(x+4)=0
Step 2: x+2=0 or x+4=0
Step 3: x= -2 or x= -4
Which property of real numbers did Felipe’s use for step 2?
A. Distributive property of multiplication over addition
B: Multiplication property of equality
C. Commutative property of multiplication
D: Zero product of multiplication
Answer:
D. Zero product of multiplication
Step-by-step explanation:
The given equation is presented as follows;
Given: x² + 6·x + 8 = 0
By factorization, to find numbers represented by variables, 'a' and 'b', such that a + b = 6 and a×b = 8, we have, a = 2, and b = 8 as a possible solution by observation
Step 1: (x + 2)·(x + 4) = 0
Given that (x + 2) × (x + 4) = 0, we have
Step 2: x + 2 = 0 or x + 4 = 0, by zero product of multiplication
The zero-product property states that the when two non zero numbers are multiplied, the result is nonzero
Therefore, when two numbers are multiplied, and have a result of zero, for example, i × j = 0, then, either, i = 0, or j = 0
By the zero-product rule, either, (x + 2) = 0, or (x + 4) = 0
Therefore, we have;
Therefore;
Step 3: x = -2 or x = -4
The property of real numbers Felipe's use for step 2 is the Zero product of multiplication.
Sin y+ cos y + tan y sin y=sec y+ cos y tan y?
Answer:
sec y
Step-by-step explanation:z
Can I get some help solving the missing angle.
Answer:
the ans is 63°
Step-by-step explanation:
94°+24°+x(suppose)=180°(being a triangle)
x=63°
Answer:
its 63
Step-by-step explanation:
117 would be above 90 degreesand clearly its smaller than a 90 degree angle, meaning its 63 or 67 but 94+23=117 and (a full angle which is 180) 180-117 which gives u 63
What are the quartiles of the data represented by the box-and-whiskers graph shown.
23, 26, 28, 30.5
26, 28.5, 30.5, 35
23, 26, 28.5, 31.5
26, 28.5, 32.5, 34
Answer: 26 and 31.5
Step-by-step explanation: it litterally shows it in the picture
Find the center and radius of the circle whose equation is x 2 + y 2 - 6x - 2y + 4 = 0
(3,1), r = /6
(-3,-1), r = /6
(3,1) r = 6
(9,1), r = 36
Answer:
Solution given:
the equation of a circle is:
x²+y²-6x-2y+4=0
x²-2*x*3+3²+y²-2y+1²-1²+4=0
(x-3)²+(y-1)²=9+1-4
(x-3)²+(y-1)²=6
comparing above equation with
(a-h)²+(y-k)²=r²
we get
centre (h,k)=(3,1)
radius=√6
option first
(3,1), r = √6 is a required answer.
Answer:
(3,1), r = √6 is a required answer.
Step-by-step explanation:
Peyton's car is 108 inches long How many feet
long is his car?
Answer:
9 Feet
Step-by-step explanation:
Inches: 108
Feet: 9
Divide the length value by 12
given m is parallel to n, find the value of x and y
How many solutions does x²+3x=3 have?
Answer:
2 (real) solutions.
Step-by-step explanation:
A quadratic always has two solutions, whether they are real or complex.
Sometimes the solution is complex, involving complex numbers (2 complex), sometimes they are real and distinct (2 real), and sometimes they are real and coincident (still two real, but they are the same).
In the case of
x^2+3x = 3, or
x² + 3x -3 = 0
we apply the quadratic formula to get
x = (-3 +/- sqrt(3^2+4(1)(3))/2
to give the two solutions
{(sqrt(21)-3)/2, -(sqrt(21)+3)/2,}
both of which are real.
Can someone help me with this please and answer with the steps
Answer:
Angle T = 28, h = 18
Step-by-step explanation:
HW/ER = WT/RD Thales Theorem
10/5 = h/9 Substitution
2 = h/9 Alg
h = 18 Alg
Angle D = Angle T Similarity definition
Angle D + Angle E + Angle R = 180 Angle Sum Property
Angle D + 86 + 66 = 180 Substitution
Angle D + 152 = 180 Alg
Angle D = 28 Alg
Angle D = Angle T = 28 Similarity Definition
Hope this helped!
The volume of a cylinder is 196in.3 and the height of the cylinder is 1 in. What is the radius of the cylinder?
Answer:
r ≈ 7.9 inches
Step-by-step explanation:
V(cylinder) = πr²h
196 = πr²(1)
196/π = r²
62.4 = r²
√62.4 = r
r ≈ 7.9
The area of a rectangle is 44 square units. Its length measures 11 units. Find the
length of its diagonal. Round to the nearest tenth of a unit.
Answer:
[tex] \sqrt{137} [/tex]
Step-by-step explanation:
11.7
Help me I am stuck on this.
Answer:
It is not
Step-by-step explanation:
Pam has 228 ounces of lemonade. She pours the lemonade into
8-ounce cups, filling as many as she can until all the lemonade is
gone. The last cup is not completely full. How much lemonade is
in the last cup?
Answer:
4 ounces
Step-by-step explanation:
If you divide 228 by 8, you will get 28.5. The 0.5 into a fraction would be 1/2. Half of 8 would be 4. In the end, there should be 28 full 8-ounce cups and one cup with 4 ounces.
What is a perpendicular bisector notation?
Answer:
In a pyramid, line segment AD is the perpendicular bisector of triangle ABC on line segment BC. If AB = 20 feet and BD= 7 feet, find the length of side AC.
Step-by-step explanation:
Solution
It is given that AD is the perpendicular bisector on the line segment BC.
So, By Perpendicular Bisector Theorem, any point on line segment AD is at an equal distance from points B and C. It implies, AB = AC
AC = 20 feet.
I need some help!!! i will give brainliest!
Answer:
You save 5.6 dollars.
Step-by-step explanation:
10%
The way we can calculate 10% of a number is to simply move its decimal point down one.
So for instance, 56.00, we move it one decimal place down, getting us 5.60.
1%:
This works for 1% as well, except we move 2 decimal points down instead of 1.
Using these 2 we can very easily find any percent.
Want to find 17% of 99?
Well that sounds like some rotten long division :(.
Actually, though, this is quite easy.
10% of 99 would be 9.9
1% of 99 would be 0.99
To find 17%, just multiply 0.99 by 7.
This is 6.93, you can just make 0.99 1, multiply it by 7, then subtract 0.07 from it.
Add the 9.9 and 6.93 and you get 16.83.
I did this all in my head, and once you practice this, you could calculate this even quicker than with a calculator!
Hope this helps!
Simplify (1+ 3) (2-3)
Step-by-step explanation:
[tex] \sqrt{3} - 1[/tex]
Answer:
-1 + √3
Step-by-step explanation:
use the F.O.I.L method to solve this.
"firsts"
1 * 2 = 2
"outsides"
1 * -√3 = -√3
"insides"
√3 * 2 = 2√3
"lasts"
√3 * - √3 = -3
so you get:
2 - √3 + 2√3 - 3
combine like terms
-1 + √3
Question 34 of 98
Five friends go to the movies. The price for each ticket is
$6.99. One person thinks the total for all five people will be
around $35.00.
Is this a reasonable estimate? Why?
A. Yes, a reasonable estimate is around 6 . $8 = $48.
B. Yes, a reasonable estimate is around 6. $7 $42.
C. No, a reasonable estimate is around 5 . $9 = $45.
D. Yes, a reasonable estimate is around 5 - $7 = $35.
Answer:
D. Yes, a reasonable estimate is around 5 - $7 = $35.
I need help for grades!!!
Yes, the relation shown is a function because every element in the domain has only one distinct image in the co-domain.
32x + 26 = -11 can someone help pls Ik in summer school
Answer:
x = -37/32
Step-by-step explanation:
32x + 26 = -11
Subtract 26 from each side
32x + 26-26 = -11-26
32x = -37
Divide each side by 32
32x/32 = -37/32
x = -37/32
Answer:
x= -1 5/32 or x=-1.15625
Step-by-step explanation:
phone, it can expect to sell 1,000-2x phones.
The company uses the function r defined by r(x)=x⋅(1,000−2x) to model the expected revenue, in dollars, from selling cell phones at x dollars each.
Answer the 2 questions below.
a) What are the X-Intercepts and what do they mean in this situation?
b) At what price should the company sell their phones to get the maximum revenue? Explain your reasoning
Answer:
Step-by-step explanation:
The x intercepts are 0 and
1000 - 2x = 0 given condition
1000 = 2x Divide by 2
500 = x
So the two intercepts are 0,0 and 500,0
The intercepts mean that for (0,0) the phone company hasn't charged anything, yet. For 500,0 the phone company can sell a single phone -- not when they cost 500 dollars apiece.
The answer to the B part is completing the square.
r(x) = - 2x^2 + 1000x
r(x) = -2(x^2 - 500x )
1/2 ( 500) = 250
250^2 is what you put inside the bracket's to complete the square.
r(x) = - 2(x^2 - 500x + 250^2) + 2*250^2
r(x) = -2(x - 250)^2 + 2*62500
r(x) = - 2(x - 250)^2 + 125000
They should sell their phones at 250 dollars a piece. The total revenue is 125000. Your graph shows exactly the same thing.
Line l has a _____ slope.
negative
0
positive
undefined
Answer:
positive
Step-by-step explanation:
negative slopes go from right to left; this line goes from left to right
0; the line isn't completely horizontal
undefined; the line isn't completely vertical
Hehehehehehehehheheheh
Answer:
B, E
Step-by-step explanation:
A would be wrong because the second part (up 1) would give you (5,1) The origin is (0,0)
B is correct because (5,0) has a 5 as the x coordinate
C is wrong because the y coordinate is 0
D is wrong because A is on the x since the y coordinate is 0
E is correct because (5,0) has a 5 on the x and a 0 on the y
Explanations Needed (In-Depth)
I need explanations for Properties of Dilations and Similarity and Similarity Transformations.
I am in 10th-grade Geometry, Thank you so much!
Answer:
Properties of Dilation
Each angle of the figure is the same. Midpoints of the sides of the figure remain the same as the midpoint of the dilated shape. Parallel and perpendicular lines in the figure remain the same as the parallel and perpendicular lines of the dilated figure. The images remain the same.Similarity. In order for two figures to be similar, they must have congruent (equal) corresponding angle measures and proportional sides. Dilations create similar figures because multiplying by the scale factor creates proportional sides while leaving the angle measure and the shape the same.A similarity transformation is one or more rigid transformations (reflection, rotation, translation) followed by a dilation. When a figure is transformed by a similarity transformation, an image is created that is similar to the original figure. ... In general, similarity transformations preserve angles.A dilation stretches or shrinks a figure. The image created by a dilation is similar to the original figure. The scale factor of a dilation is the ratio of corresponding side lengths. In this course, the center of dilation will always be the origin.Dilations in Animation
The three basic rigid motions are translations, reflections, and rotations. In addition to being rigid motions, these are also considered transformations. Transformations change the location or orientation of an image but not the shape.Isometric transformations have the same shape AND size, similarity transformations just have the same shape. Isometric transformations have the same shape AND size, similarity transformations just have the same size. They are the same, no differences. ... A stretch is not a similarity transformation.[tex]\color{yellow}{}[/tex]
Very confusing, please help
Answer:
A -2*-2 ≠- 4
Step-by-step explanation:
sqrt(-4)
The answer is an imaginary number
-2*-2 = 4 not -4
Answer:
[tex]\sqrt{-4} \neq -2 \\[/tex] because -2 times -2 equals 4 not -4.
Therefore A. [tex]-2^{2}\neq 4[/tex] is the answer to this question.
If you need help on similar problems feel free to ask, hope I helped :)