Answer:
109
Step-by-step explanation:
What is the simplified form of each expression?
-(10) ^-1
A) -1/10
B)- 1/-1^10
C) 1/10
D)10
1/c^-5
A) c^5
B) 5c
C) -c^5
D) - 5/c
What is the value of y^-5/x^-3 for x = 2 and y = -4?
A) 10/3
B) 128
C) - 1/128
D) -128
Is the number written in scientific notation, if not explain, 5.1 x 10^-8?
A) Yes; the number is written in scientific notation
B) No; the first factor is not a number between one and ten
C) No; it is not written as a number times a power of ten
What is the number written in standard notation 5.71 x 10^-3?
A) -171.3
B) 0.0571
C) 0.000571
D) 0.00571
Suppose that the diameters of different types of hairs are 1.7 x 10^-4 cm, 1.4 x 10^-3 cm, 1.2 x 10^-5 cm, and 1.9 x 10^-4 cm? What is the order of the hairs from least to greatest's diameter?
A) 1.9 x 10^-4, 1.7 x 10^-4, 1.4 x 10^-3, 1.2 x 10^-5
B) 1.2 x 10^-5, 1.7 x 10^-4, 1.9 x 10^-4, 1.4 x 10^-3
C) 1.9 x 10^-4, 1.7 x 10^-4, 1.2 x 10^-5, 1.4 x 10^-3
D) 1.2 x 10^-5, 1.4 x 10^-3, 1.9 x 10^-4, 1.7 x 10^-4
What is the expression written using each base only once (-4) ^-6 (-4) ^7?
A) 4^13
B) -4
C) 13
D) 1
Find the simplified form of the expression. Give your answerer in scientific notation.
(3 x 10^6) (8 x 10^-4)
A) 1.1 x 10^3
B) 2.4 x 10^3
C) 1.1 x 10^-23
D) 2.4 x 10^-23
What is the simplified form of the expression (m^7) ^2?
A) 2m^14
B) m^49
C) m^9
D) m^14
What is the simplified form of the expression t^8 (t^10) ^0?
A) t^-80
B) t^80
C) t^8
D) t^-8
What is the simplified form of the expression (3q^2) ^4?
A) 3q^16
B) 81q^6
C) 3q^8
D) 81q^8
What is the simplified form of the expression (3xy^3) ^2(xy) ^6?
A) 9x^8 y^12
B) 3x^8 y^12
C) 2x^3 y^12
D) 9x^7 y^9
Answer:
-(10)^-1 = A. -1/10
y^-5/x^-3 for x = 2 and y = -4. C. -1/128
Is the number written in scientific notation, if not explain, 5.1 x 10^-8? A. Yes; the number is written in scientific notation
What is the number written in standard notation 5.71 x 10^-3? D) 0.00571
Suppose that the diameters of different types of hairs are 1.7 x 10^-4 cm, 1.4 x 10^-3 cm, 1.2 x 10^-5 cm, and 1.9 x 10^-4 cm? What is the order of the hairs from least to greatest's diameter? B. 1.2 x 10^-5, 1.7 x 10^-4, 1.9 x 10^-4, 1.4 x 10^-3
What is the expression written using each base only once (-4) ^-6 (-4) ^7? B. -4
Find the simplified form of the expression. Give your answerer in scientific notation.
(3 x 10^6) (8 x 10^-4) B. 2.4 x 10^3
What is the simplified form of the expression (m^7) ^2? D. m^14
What is the simplified form of the expression t^8 (t^10) ^0? C. t^8
What is the simplified form of the expression (3q^2) ^4?
D. 81q^8
What is the simplified form of the expression (3xy^3) ^2(xy) ^6? A. 9x^8 y^12
which one is the missing symbol.
4/5 ? 1/2
A. >
B. <
C. =
Answer:
[tex] \frac{4}{5} > \frac{1}{2} [/tex]
Step-by-step explanation:
[tex] \frac{4}{5} = 0.8[/tex]
[tex] \frac{1}{2 } = 0.5[/tex]
If f(x)= 2x^3-12x^2+20x-16 and f(4)= 0, then find all the zeros of f(x) algebraically
Answer:
x = 4 is the only real zeroStep-by-step explanation:
Find the zero's of f(x)
2x³ - 12x² + 20x - 16 = 0x³ - 6x² + 10x - 8 = 0x³ - 4x² - 2x² + 8x + 2x - 8 = 0x²(x - 4) - 2x(x - 4) + 2(x - 4) = 0(x - 4)(x² - 2x + 2) = 0(x - 4)(x² - 2x + 1 + 1) = 0(x - 4)[(x - 1)² + 1] = 0x - 4 = 0 ⇒ x = 4, we already know this(x - 1)² + 1 = 0 ⇒ (x - 1)² = - 1, no real solution as the square is never negativeAnswer:
[tex]x=4, \quad x=1+i,\quad x=1-i[/tex]
(one real zero and 2 complex zeros)
Step-by-step explanation:
Given polynomial:
[tex]f(x)= 2x^3-12x^2+20x-16[/tex]
According to the Factor Theorem, if f(4) = 0 then (x - 4) is a factor of the given polynomial.
[tex]\implies f(x)=(x-4)(ax^2+bx+c)[/tex]
Expand the brackets:
[tex]\implies f(x)=ax^3+bx^2+cx-4ax^2-4bx-4c[/tex]
[tex]\implies f(x)=ax^3+(b-4a)x^2+(c-4b)x-4c[/tex]
Compare coefficients with the given polynomial:
[tex]\implies a=2[/tex]
[tex]\implies -4c=-16 \implies c=4[/tex]
[tex]\implies (b-4a)=-12 \implies b-8=-12 \implies b=-4[/tex]
Substitute the found values of a, b and c:
[tex]\implies f(x)=(x-4)(2x^2-4x+4)[/tex]
To find the zeros of f(x), set the function to zero and solve for x:
[tex]\implies (x-4)(2x^2-4x+4)=0[/tex]
[tex]\textsf{Therefore},\: (x - 4) = 0\: \textsf{ and }\: (2x^2-4x+4)=0[/tex]
[tex]\textsf{To solve}\: (2x^2-4x+4)=0\: \textsf{ use the quadratic formula}[/tex]
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Therefore:
[tex]\implies x=\dfrac{-(-4) \pm \sqrt{(-4)^2-4(2)(4)} }{2(2)}[/tex]
[tex]\implies x=\dfrac{4 \pm \sqrt{-16}}{4}[/tex]
[tex]\implies x=\dfrac{4 \pm \sqrt{16 \cdot -1}}{4}[/tex]
[tex]\implies x=\dfrac{4 \pm \sqrt{16}\sqrt{-1}}{4}[/tex]
[tex]\implies x=\dfrac{4 \pm 4i}{4}[/tex]
[tex]\implies x=1 \pm i[/tex]
Therefore, the zeros of the function are:
[tex]x=4, \quad x=1+i,\quad x=1-i[/tex]
(one real zero and 2 complex zeros)
Find the surface area of the above solid.
O A 72 cm
O B 73 cm.
C. 70 cm
O a 62cm
Help quickly
Find the volume of a cone with a height of 6yd and a base radius of 4yd.
Use the value 3.14 for [tex]\pi[/tex] , and do not do any rounding.
Be sure to include the correct unit in your answer.
Formula : V = πr²h/3
Fill in the values.
(3.14)(4)^(2)(6/3)
V=100.48 yd^3
Find the measures of all angles and sides
Answer:
See attached image. 82 and 98 degrees.
Step-by-step explanation:
On attached document.
Which set of side lengths forms a right triangle?
A. 6,8,10
B. 2,4,6
C.1,2,3
D. 2,3,4
Answer:
A. 6,8,10
Step-by-step explanation:
For a right triangle the the values for the three sides we pick must satisfy the Pythagorean theorem:
a(2 + b(2= c(2
A. 6,8,10
6(2 + 8(2 = 10(2
36 + 64 = 100
100 = 100
Bingo!
(For example lets solve the rest)
B. 2,4,6
2(2 + 4(2 = 6(2
4 + 16 = 36
20 ≠ 36
Nope.
C. 1,2,3
1(2 + 2(2 = 3(2
2 + 4 = 9
6 ≠ 9
No again!
D. 2,3,4
2(2 + 3(2 = 4(2
4 + 9 = 16
13 ≠ 16
Not this one.
Therefore our answer is A.
For every 2 sheep in the field on monday, how many chickens were in the field?
Answer:
This needs more context im sorry
Step-by-step explanation:
The radius,R, of a sphere is8.2mm . Calculate the sphere's volume,V .
Use the value 3.14 for[tex]\pi[/tex] , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Using factor (2u – 1), sin(x) = Using factor (5u + 1), or sin(x) =
Answer:
sin(x)= 1/2 or sin(x)= -1/5
Answer: a c d e
Step-by-step explanation:2nd part
Could you also provide an explanation
Answer:
Equation: y=mx+b
sorry for taking so long! :)
AC) y=-1, because it is remaining constant and the slope is zero, the y intercept is -1.
AB) The slope is 1 and the y intercept is 1.
So, y=x+1
BC) The slope is -6. The y intercept is harder to find. You can use this equation however;
y-y(1)=m(x-x(1)
y-5=-6(x-4)
y=-6x+29
Does the point (-5, 10) satisfy the inequality y = 5x + 9?
Yes or no
Answer:
no
you can subsitute x = -5 into y= 5x+9 and the ans should be -16 instead of -10
so it does not satisfy
Hello!
In order to see whether or not a point satisfies an equation, just plug in the values:-
Instead of y, plug in 10:-
10=5x+9
Instead of x, plug in -5:-
10=5(-5)+9
Solve:-
10=-25+9
10=-16
See? We have a false statement.
Hence, this point does not satisfy the inequality.
I hope it helps you.
If you have any queries regarding my answer, please comment :)
[tex]\bf{CupcakeRealm8701~:)}[/tex]
A caterer charges a setup fee of $40, plus $15 per
person. How much will the caterer charge if 22
people attend the party, and the customer has a
coupon for $100 off the total?
The Build-Your-Own-Sailboat booth that Althea visited gave her and hers friend the chance to make a sailboat model. Each boy chose a different quadrilateral for a sail. Althea chose a trapezoid, and her friend chose a parallelogram.
(a) Compose each shape into a rectangle to determine the area. The formula for area of a rectangle is A = lw . What is the area of each quadrilateral?
(b) Althea said that all quadrilaterals can be decomposed into triangles to find the area of the quadrilateral. Is this statement always true, sometimes true, or always false? Give two examples to support your answer.
A quadrilateral is a four sided figure. It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure
What is a quadrilateral?A quadrilateral is a four sided figure. The images are not shown here so we don't know what the dimensionof each figure is.
It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure and find the area of the two triangles in order to obtain the area of the orginal figure.
Learn more about quadrilateral: https://brainly.com/question/13805601
What is the volume of this container? (image below)
Answer:
480 in³
Explanation:
Volume of Rectangular Prism = Length * Height * Width
Front Volume:
4 * 4 * 580 in³Behind Volume:
5 * 8 * 10400 in³Total volume:
400 in³ + 80 in³480 in³Both are cuboids
#1
L=8B=10C=5Volume:-
LBH8(10)(5)400in³#2
L=4B=4H=5Volume:-
4(4)(5)80in³Total:-
400+80=480in³
The figure below is an isosceles trapezoid. Solve for x.
Note: the figure may not be drawn to scale.
Answer:
x = 3
Step-by-step explanation:
The diagonals of an isosceles trapezoid are congruent , then
4x - 1 + 4 = 2x + x + 6 , that is
4x + 3 = 3x + 6 ( subtract 3x from both sides )
x + 3 = 6 ( subtract 3 from both sides )
x = 3
A bag of marbles has 3 red, 1 green, and 7 yellow marbles. What is the probability of selecting a green and then a yellow with replacement?
I got a question saying 1 Billon times 43 Millon, how is anyone appost to know this
[tex]1000000000 \times 43000000 = 43000000000000000[/tex]
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Given data:
1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 81. Determining the range of the line plot:
To determine the range of the data, we need to subtract the biggest value of the data (8) from the smallest value of the data (1).
⇒ Range of a data: Biggest number - Smallest number⇒ Range of a data: 8 - 1⇒ Range of a data: 7Thus, 7 is the range.
2. Determining the mode of the line plot:
The mode of the data is the digit that has repeated the most. In this case, the digit "2" has repeated five times and has repeated the most.
Henceforth, "2" is the mode.
Learn more about range and modes:
https://brainly.com/question/1225785https://brainly.com/question/25775375Answer:
Range = 7
Mode = 2
Step-by-step explanation:
Question (a)
Range = Highest value - Lowest value
= 8 - 1
= 7
Question (b)
The mode is the most common value that appears in the data.
From inspection of the line plot, we can see that 2 is the most common value (the value that appears the most in the data set).
What is the perimeter of this rectangle pls help
Answer:
24
Step-by-step explanation:
Perimeter of a shape = sum of all lengths of sides
⇒ Perimeter of a rectangle = (2 × width) + (2 × length)
From inspection of the rectangle:
width = 4length = 8⇒ Perimeter = (2 × 4) + (2 × 8)
= 8 + 16
= 24
Three 3-digit numbers are formed using the digits 1 through 9 exactly once each. The hundreds digit of the first number is 1. The tens digit of the second number is 8. The units digit of the third number is 5. The ratio of the first number to the second number to the third number is 1:3:5, respectively. What is the sum of the three numbers?
Answer:
1161
Step-by-step explanation:
We can solve this using what we know about multiples of 3 and 5. Multiplying the first number by 3 will give the value ...
1?? × 3 = 38? . . . . where ? is an unknown digit
The two least significant digits in the first number must be ones that give 80-something when multiplied by 3. They will be between 80/3 = 26 2/3 and 90/3 = 30. The requirement that the least significant digit be odd* means the choices are 27 or 29.
When the first number is 127, its triple is 381. The 1 in the least significant digit is disallowed by the requirement that the 9 digits of these numbers be unique. (127 already has 1 as its most-significant digit.)
So, the first number is 129, making the second number be 3×129 = 387, and the third number be 5×129 = 645.
The numbers have the ratios ...
129 : 387 : 645 = 1 : 3 : 5 . . . . . . . as required.
We note that the digits 1–9 are used exactly once each, as required.
The sum of the numbers is 1161.
_____
* Only odd numbers will give a product that ends in 5 when they are multiplied by 5. The requirement that the third number have a ones digit of 5 means the ones digit of the first number must be odd.
Help me with this please
Step-by-step explanation:
x > 4
you see the line covers everything to the right (larger than) of +4.
the large empty circle at 4 means this value is not included.
that is the reason why we cannot use x >= 4.
to include the value the market has to be sold (not empty).
What is the common ratio for the sequence:
28, -14, 7, -3.5...
What is the area of triangle PQR rounded to the nearest tenth of a square meter? Drawing is not to scale.
Answer:
A 31.3
Step-by-step explanation:
just took the test
Answer:
27.0m^2
Step-by-step explanation:
Use the formula A = 0.5 * a * b * sin (x)
this formula is used for obtuse angles where a & b are the sides (12,7) and x is the angle between them.
Fill in the blanks:
A = 0.5 * 12 * 7 * sin (40)
use demos scientific calculator
A= 26.99
round up
27.0 m^2
Which construction uses the compass for only one step in addition to drawing the circle itself?
A) an equilateral triangle inscribed in a circle
B) a square inscribed in a circle
C) a regular hexagon inscribed in a circle
D) a diameter of a circle
Answer: A) an equilateral triangle inscribed in a circle
Step-by-step explanation:
In the mathematical world, a compass is a mathematical tool used for drawing and constructing precise shapes. You have likely seen one of these before, I have attached a visual example of what one might look like.
Out of these given options, the only one that utilizes a compass for one step in addition to drawing the circle itself is A:
A) an equilateral triangle inscribed in a circle
Read more about using a compass here: https://brainly.com/question/27490907
Help!!!!!
The midpoints of the slides of a square are joined to its vertices as shown. What is the ratio of the area of the shaded square inside to the area of the original square
Answer:
1/5
Step-by-step explanation:
It is easy to see a right triangle on each side of the original square with its hypotenuse on the side of the original square, each with an area of 2⋅A2=A. Thus the total area of the original square is 5A, or the ratio of the area of the shaded square to the original square is 1/5.
GIVEAWAY!! QUICK QUESTION!!!
Mr. Segura told Ms. Chang that the coefficient of kk is 11. What would you tell one of your classmates that the coefficient of -k−k is? Type the number, don't write it out!
Answer:
-2
Step-by-step explanation:
Given :
An example of a coefficient ⇒ '11' in 11kkSolving :
The coefficient is the part that precedes the variable(s)Therefore, on solving -k - k⇒ -2k⇒ -2 is the coefficientAnswer:
-2
Step-by-step explanation:
Given expression: -k - k
Combine like terms and simplify:
⇒ -k - k
⇒ -(k + k)
⇒ -(2k) = -2k
Determining the constant:
The constant of the term MUST be an integer. It CANNOT be a variable. In this case, the only constant that is a cooeficient of k is -2.
Thus, the cooeficient of -k−k is -2.
I need help finding the mean
Answer:
there is 5 jokers
Step-by-step explanation:
the dot plot shows that
The talent contest has a total of $1000 in prize money. What is the amount of money for each of the five prizes? Show your work. Enter your answers and your work in the box provided.
Answer:
1000/5=200?
There are five prizes?
Each one has an equal amount?
6 times the sum of a number and 2
Answer:
6 times means 6 multiplied by
The sum of a number and 2 means x + 2
x = number
(2+x) × 6