Answer:
8
Step-by-step explanation:
[tex]\sqrt{\frac{256}{4} }[/tex]
[tex]\sqrt{\frac{16*16}{2*2} }[/tex]
[tex]\sqrt{(\frac{16}{2})^2 }[/tex]
square and root gets cancel . so ,
[tex]\frac{16}{2}[/tex]
8
What is the inverse of the function g(x) = 1/2x + 1/2?
Step-by-step explanation:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x f - 1 ( x ) = 2 x is the inverse of f(x)=12x f ( x ) = 1 2 x .
Replace f(x)f(x) with yy.
y=12xy=12x
Interchange the variables.
x=12yx=12y
Solve for yy.
Rewrite the equation as 12y=x12y=x.
12y=x12y=x
Multiply both sides of the equation by 22.
2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x
Simplify 2⋅12⋅y2⋅12⋅y.
Cancel the common factor of 22.
Cancel the common factor.
2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x
Rewrite the expression.
1⋅y=2⋅x1⋅y=2⋅x
Multiply yy by 11.
y=2⋅xy=2⋅x
Solve for yy and replace with f−1(x)f-1(x).
Replace the yy with f−1(x)f-1(x) to show the final answer.
f−1(x)=2xf-1(x)=2x
Set up the composite result function.
g(f(x))
George has a spinner with three equal sections colored orange, blue, and white. He spins the spinner 100 times. What is the experimental probability of landing on the orange section?
Answer:
1/3
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
Experimental probability is based on the result of an experiment that has been carried out multiples times
probability of landing on the orange section = proportion of the orange section / total proportions of all the colours
= 1/3
A rectangular farm has an area of 1.04 square kilometers. The length of the farm is 0.8 kilometer. What is the width, in kilometers, of the farm.
A) 13.0
B) 10.5
C) 1.3
D) 1.05
Answer:
[tex]\text{C. }1.3[/tex]
Step-by-step explanation:
The area of a rectangle with width [tex]w[/tex] and length [tex]l[/tex] is given by [tex]A=lw[/tex].
What we're given:
[tex]A[/tex] of 1.04[tex]l[/tex] of 0.8Substituting given values, we get:
[tex]1.04=0.8w,\\w=\frac{1.04}{0.8}=\boxed{\text{C. }1.3}[/tex]
When -3x + 6 − 3x − 24 + 2y is simplified, the result is
Answer:
- 6x - 18 + 2y
Step-by-step explanation:
- 3x + 6 - 3x - 24 + 2y
- 6x + 6 - 24 + 2y
- 6x - 18 + 2y
Answer:
-6x -18 + 2y
Step-by-step explanation:
1. Collect like terms:
-3x + -3x = -6x
-24 + 6 = -18
2. Rewrite expression:
-6x -18 +2y
Hope this helps, good luck! :D
Una empresa, para comprar ropa de trabajo para su personal, tiene un presupuesto de $ 10.000. La empresa pide cotizaciones y recibe las siguientes propuestas: a) pagar $ 5.000 al contado y $ 5.000 en 90 días; b) pagar $ 3.000 al contado; $ 3.000 en 30 días y $ 4.000 en 90 días; c) pagar $ 2.000 al contado, $ 4.000 en 30 días y $ 4.000 en 84 días. Si la tasa de interés es del 24% anual, ¿cuál oferta le conviene aceptar
Answer:
La oferta más conveniente es la C, pues en ella se pagará menos dinero que en las dos anteriores.
Step-by-step explanation:
Dado que una empresa, para comprar ropa de trabajo para su personal, tiene un presupuesto de $ 10.000, y la empresa pide cotizaciones y recibe las siguientes propuestas: a) pagar $ 5.000 al contado y $ 5.000 en 90 días; b) pagar $ 3.000 al contado; $ 3.000 en 30 días y $ 4.000 en 90 días; y c) pagar $ 2.000 al contado, $ 4.000 en 30 días y $ 4.000 en 84 días, si la tasa de interés es del 24% anual, para determinar cuál oferta le conviene aceptar se debe realizar el siguiente cálculo:
90 días = 1/4 año
30 días = 1/12 año
84 días = 23/100 año
365 = 1
85 = X
84 / 365 = 0.23
A) 5,000 + (5,000 x 1.06) = 5,000 + 5,300 = 10,300
B) 3,000 + (3,000 x 1.02) + (4,000 x 1.06) = 3,000 + 3,060 + 4,240 = 10,300
C) 2,000 + (4,000 x 1.02) + (4,000 x 1.023) = 2,000 + 4,080 + 4,092 = 10,172
Por lo tanto, la oferta más conveniente es la C, pues en ella se pagará menos dinero que en las dos anteriores.
which inequality best represents the graph?
Answer:
A y ≥ (1/2)x + 5
Step-by-step explanation:
The shaded area is above the solid line
the correct symbol is ≥
please help me solve
please show how you got the answer
Answer:
Step-by-step explanation:
New questions in Mathematics
In a 30-30-90 triangle, the hypotenuse is 38, what is the length of the shortest side
Pls help this is due at 8 !!!!!!
6. CDs can be manufactured for $0.19 each. The development cost is $210,000. The first 500 discs are samples and will not be sold a. Write function f…
somebody help me out
Which rational functions have an oblique asymptote? Check all that apply
what is the estimate product of 345 and 34? [tex] \\ [/tex]
what is the estimate product of 345 and 34?
ucas y Fernando deciden remontar, cada uno, un barrilete y cuentan con 60m de hilo cada uno. El barrilete de Lucas forma un ángulo de 45º con la hori…
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How many parallelograms are in an octagonal prism?
Tn=2n-5 write down four term in a sequence
somebody help me out !
Find the value of angle n
PLEASE I NEED HELP IM GOING TO CRY I HAVE A TOPIC TEST TOMORROW PLEASE REPLY ASAP.!!!!
Find the value of angle y
What is the midpoint of AB? A G H NT -9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 0000 4 5 6 7 8 9 point F O point G O point H pointi
Point A is reflected across line y=x and the n dilated by a factor of 3 using the origin as the center of dilation.
Given that a=3, b=-2 and c= -4, evaluate the following expression. 2c-a/3c+b - 5a+4c/c-a
Please help me asap!
what is lcm of 15 and 143
theres $10.30 and the discount is 25% how much will he save
Answer:
2.58 saved
Step-by-step explanation:
To find the discount, take the amount and multiply the discount percent
10.30 * 25%
10.30 *.25
2.575
Round to the nearest cent
2.58
Answer:
Step-by-step explanation:
2.58 saved
The pattern 0, 15, 30, 45, ________, follows the "add 15" rule. Use words to describe the rule and write the next term.
pls writ abt 1-2 sentences asap :(((
Answer: The pattern uses the rule "Add 15", adding 15 per term. Making the next term, 60.
Simplify: 4x(x² - 3x + 1)
Answer:
[tex]4x\left(x^2-3x+1\right)[/tex]
[tex]Distribute\:parentheses[/tex]
[tex]=4xx^2+4x\left(-3x\right)+4x\cdot \:1[/tex][tex]\mathrm{Apply\:minus-plus\:rules}[/tex]
[tex]+\left(-a\right)=-a[/tex][tex]=4x^2x-4\cdot \:3xx+4\cdot \:1\cdot \:x[/tex][tex]Simplify[/tex]
[tex]=4x^3-12x^2+4x[/tex]----------------------------hope it helps...have a great day!!Write an equation for a circle in standard form with a center at (-6, 5) and has a radius equal to 5. 2 Find the area of the sector if the radius is 8cm show your work below 2 2 Show your work below. You have responded to 0 of 7 questions. Question Details Write an equation for a circle in standard form with a center at (-6, 5) and has a radius equal to 5.
Answer:
[tex](a)\ (x+6)^2 + (y-5)^2 = 25[/tex]
[tex](b)\ Area = 16.75cm^2[/tex]
Step-by-step explanation:
Solving (a):
Given
[tex](a,b) = (-6,5)[/tex]
[tex]r = 5[/tex]
Required
The equation of the circle
This is calculated as:
[tex](x-a)^2 + (y-b)^2 = r^2[/tex]
So, we have:
[tex](x--6)^2 + (y-5)^2 = 5^2[/tex]
[tex](x+6)^2 + (y-5)^2 = 25[/tex]
Solving (b):
Given
[tex]r = 8cm[/tex]
[tex]\theta = 30^o[/tex] --- Missing from the question
Required
The area of the sector
This is calculated using:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Area = \frac{30}{360} * 3.14 * 8^2[/tex]
[tex]Area = \frac{1}{12} * 200.96[/tex]
[tex]Area = 16.75cm^2[/tex]
solve for x y=7x+5
y = 9x+4
Answer:
x = 1/2
Step-by-step explanation:
y = 7x+5
y = 9x+4
7x+5 = 9x+4
1=2x
x = 1/2 = 0.5
Answer:
1. [tex]x = - \frac{5}{7} [/tex]
2. [tex] x = - \frac{4}{9} [/tex]
Step-by-step explanation:
[tex]y = 7x + 5 \\ 0 = 7x + 5 \\ - 7x = 5[/tex]
[tex]\boxed{Answer:{\boxed{\green{x = - \frac{5}{7}}}}} [/tex]
[tex]y = 9x + 4 \\ 0 = 9 x + 4 \\ - 9x = 4[/tex]
[tex] \boxed{Answer:{\boxed{\green{x = - \frac{4}{9} }}}}[/tex]
Tony is building a new silo to store corn as animal feed. It will be a cylinder topped with a half-sphere, and must store 21 000 t of corn. The entire silo can be filled with corn. Tony wants to minimize the surface area of the silo to reduce materials and paint costs. He has the following information:
• 1 cubic m of corn has a mass of 700 kg.
• Building costs are $8/m2, taxes included.
• Paint comes in 3.8 L cans.
Each can covers 40 sq m and costs $35,
taxes included.
• Corn costs $140 per tonne ($140/t), taxes
included.
What is the total cost to build, paint, and fill a silo with the least surface area?
Answer:
all i know is that the answer is
above 2,400
Step-by-step explanation:
Write an equation of the line that passes through the point (2, -3) and has a
slope of -1.
Answer:
Y = -1x - 1
Step-by-step explanation:
I used desmos graphing calculator and tried until I got a line that worked. It passes through (2, -3) and has a slope of -1
Hope this helped :)
Please Help Quick ASAp Hurry
What is the exact volume of the cylinder?
A. 780π in3
B. 5070π in3
C. 390π in3
D. 11,700π in3
Answer:
B. 5070π in³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder Formula: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify variables
r = 13 in
h = 30 in
Step 2: Find Volume
Substitute in variables [Volume of a Cylinder Formula]: V = π(13 in)²(30 in)Evaluate exponents: V = π(169 in²)(30 in)Multiply: V = 5070π in³Answer:
[tex]\large\fbox{B. 5070 π inches³}[/tex]
Step-by-step explanation:
We have given that :-Radius of cylinder , r = 13 inchesHeight of cylinder , h = 30 inchesWe need to find :-The Volume of cylinder
Formula Used :-Volume of cylinder = π × r ² × h
Where,
r is the radius of cylinderh is the height of cylinderSolution :-Using Formula
➛Volume of cylinder = π × r ² × h
substitute the values into the formula
➛ Volume of cylinder = π × ( 13 inches)² × 30 inches.
Evaluate exponent
➛ Volume of cylinder = π × 169 inches ² × 30 inches.
multiply, we get
➛ Volume of cylinder = 5070 π inches ³.
Therefore, option B which is 5070 π inches³ is the correct ☑ answer.
Find the length of CD
the graph below have the same shape.
what is the equation of the blue graph?
Help me please
The answer is D.
the blue parabola is 1 y value up from red. So you have a +1. It is 4 values to the right of red, but when x is in the format of (x + a) ^2, then the sign of operation is opposite of the action in graph. So positive means subtracting and negative means adding. So you put in x - 4
Question 2
Which of these expressions is equal to 4m + 8m?
Answer:
12 m
Step-by-step explanation:
Given the expression : 8m + 4m
The numbers 8m and 4m are bound by the addition operator.
When using the addition operator, the Coefficient are are the values added for like terms.
Since both values given can be like terms based on 'm', the Coefficient of m in each vlaue is added ;
Hence, we have ;
8m + 4m = 12m
Can someone help me identify what quadrilateral is this?
Answer:
Its C
Step-by-step explanation:
Name the three similar triangles correspondingly. Start with the original right triangle LMK, then the remaining two right triangles created by the altitude MN.
Answer:
Step-by-step explanation:
Answer:△LMK △MNK △LNM
im pretty sure thats it
Find the equation of the straight line passing through the point (-1,2) which is perpendicular to the line y=x+4
Tell whether the angle is complimentary, supplementary or neither
please help! I dont understand how to answer. i got x^2-9x+20=0 as my answer. am i incorrect?
Answer:
x² - 9x + 20
You are correct.
None of the listed choices are correct.
-----------------------------
I think the question originally had 5 and -4 as the solutions
https://www.jmap.org/Worksheets/A.APR.B.3.ZerosofPolynomialsPR1.pdf
x = {-4, 5}
(x + 4)(x - 5) = 0
x² - 5x + 4x - 20 = 0
x² - x - 20 = 0 Answer E
Step-by-step explanation:
x = {4, 5}
y = (x - 4)(x - 5)
y = x² - 5x - 4x + 20
y = x² - 9x + 20
find the volume of a triangular prism
Answer:
96 cu.ft must be the answer to the question..
Answer:
I think 96 cu.ft is the answer
Lee y contesta santiago quiere comer la mitad de un pastel y alba quiere un tercio del mismo pastel para repartirlo bien reducen las fracciones a comun denominador ¿en cuantas partes iguales deben dividir el pastel? ¿cuantas partes debe tomar cada uno?
Answer:
El pastel se debe dividir en 6 partes iguales, de las cuales Santiago debe tomar 3 y Alba debe tomar 2.
Step-by-step explanation:
Dado que Santiago quiere comer la mitad de un pastel y Alba quiere un tercio del mismo pastel, para repartirlo bien se deben reducir las fracciones a su común denominador. Así, para determinar en cuántas partes iguales deben dividir el pastel y cuántas partes debe tomar cada uno se deben realizar los siguientes cálculos:
Santiago = 1/2
Alba = 1/3
2 x 3 = 6
Santiago = 1/2 = 3/6
Alba = 1/3 = 2/6
Por lo tanto, el pastel se debe dividir en 6 partes iguales, de las cuales Santiago debe tomar 3 y Alba debe tomar 2.
SUPER URGENT: Find cscθ.
Answer: -5/4
Step-by-step explanation: Cosecant is hypotenuse divided by the opposite side. The hypotenuse is 5 units, while the opposite side is 4 units. The answer has to be negative because the opposite side is below y=0.
Write the following number by entering one digit in each box of the place value chart.
Answer:
The number itself is 508.231
Step-by-step explanation:
Any multiplying each of the numbers, we will have the specific places
Hundreds
5 * 100 = 500
Tenths
0 * 10 = 0
ones
8 * 1 = 8
Tenths = 2 * 1/10 = 2/10 = 1/5 = 0.2
Hundredths = 3/100 = 0.03
Thousandths = 1/1000 = 0.001
So we simply sum all these to get the number itself as follows
500 + 8 + 0.2 + 0.03 + 0.001 = 508.231
What is the equation of the line
What is the mean, outlier & mean without outlier for 4; 4; 5; 6; 8; 9; 27
Answer:
the mean is 9.
Step-by-step explanation:
mean=4+4+5+6+8+9+277
= 63 7 9 is the answer.Helpppppppp meeeee please ASAP
Answer:
(9, 13, 22)
Step-by-step explanation:
We can use the triangle inequality theorem to help us solve this problem. We know that the two shortest sides of a traingle added up (their sum) needs to always be greater than the longest side of the triangle. Taking that information, we can figure out that 9+13=22. 22=22, not 22>22. This means that is the right answer, hopefully that helps!