Answer:
A
Step-by-step explanation:
[tex]f(x)=9(3)^x \\\\\\f(-3)=9(3)^{-3}= \\\\\\9\left(\dfrac{1}{3^3} \right)= \\\\\\9\left(\dfrac{1}{27} \right)= \\\\\\\dfrac{9}{27}= \\\\\\\dfrac{1}{3}[/tex]
Hope this helps!
Solve the equation: −4(+6)=−8
Answer: m=-4
Step-by-step explanation:
The problem we are given is -4(m+6)=-8. We want to solve for m. To do so, we first need to distribute the -4 to m and 6.
-4m-24=-8
Now that we have distributed, we can go ahead and solve for m.
-4m=16
m=-4
Answer: m= -4
step-by-step explanation:
The problem we are given is -4(m+6)=-8. We want to solve for m. To do so, we first need to distribute the -4 to m and 6.
-4m-24=-8
Now that we have distributed, we can go ahead and solve for m.
-4m=16
m=-4
What is an equation example?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
What is an equation easy definition?1: a statement of the equality of two mathematical expressions. 2: an expression representing a chemical reaction by means of chemical symbols.
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Correctly identify the first step in solving the system of equations by using the elimination method given the following equations:
5x+y=5
10x+3y=20
Answer:
x=-1 and y=10
Step-by-step explanation:
-3(5x+y=5)
10x+3y=20
-15x-3y=-15
10x+3y=20
10x-15x+3y-3y=20-15
-5x=5
x=-1
5x+y=5
(-1)5+y=5
-5+y=5
y=10
Which expression is equivalent to this one??? Cuhhhhhhhhhh...,,,!!!
Answer : The equivalent expression of the given expression is 1.
Step-by-step explanation :
According to the BODMAS rule, when the expression contains brackets open ((), {}, []) we have to first simplify the bracket followed by of (powers and roots etc.) and then we have to solve the division, multiplication, addition and subtraction from left to right order (respectively).
The given expression is:
(11²)⁴ ÷ 11⁸
First we have to solve bracket.
= (11)⁸ ÷ 11⁸
By dividing this expression, we get:
= 1
Therefore, the equivalent expression of the given expression is 1.
A certain substance has a half life of 1 hour. If you start with 3000 grams of the substance, how much will you have in 1 hour?
Answer:
1500 grams
Step-by-step explanation:
A= P(0.5)^t
A=3000(0.5)^1
A=1500
Jeff needs to rent a car for one day, so he shops around to find a car rental company with the lowest overall price. He finds a national rental car company that charges a 12$ daily fee plus .30 per mile, he also find a rental car company that charges a 10$ daily fee, plus a .40 per mile under what conditions would it be less expensive to rent from the national car company?
Answer:
When Jeff travels more than 20 miles
Step-by-step explanation:
Let 'x' be the number of miles traveled by Jeff.
In order for the national car company to be less expensive, then the following condition must be met:
[tex]12+0.30x < 10+0.40x\\12-10 < 0.4x-0.3 x\\2 <0.1x\\20<x[/tex]
This means that when Jeff travels more than 20 miles, it is cheaper to rent from the national car company.
What is the surface area of the rectangular prism?
Answer:
Right rectangular prism
A=2(wl+hl+hw)
l Length
w Width
h Height
I need help ASAP I shall give brainlyist (idk how to spell)
Answer:
12 cm
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter is 6 so the radius is d/2 = 6/2 = 3
108 pi = pi (3)^2 h
108 pi = 9pi h
Divide each side by 9pi
108 pi /9pi = 9pi h/9pi
12 = h
Answer:
12cm in height
Step-by-step explanation:
FAST ANSWER PLEASE THANKS
Answer:
(f • g)(x) = x² - 6x + 7
Step-by-step explanation:
Suppose
f(x) = x² - 2
g(x) = x - 3
Determine
(f • g)(x) = ...
We can compose the functions by doing the following
(f • g)(x) = f(g(x))
(f • g)(x) = f(x - 3)
(f • g)(x) = (x - 3)² - 2
(f • g)(x) = x² - 6x + 9 - 2
(f • g)(x) = x² - 6x + 7
I hope this helps!
What is the value of x in trapezoid ABCD?
x=15
x=20
x=45
X=60
Answer:
A. X = 15 is the correct answer.
Step-by-step explanation:
It's the only one that really makes sense.
Hope this helped :) :)
Answer:
15
Step-by-step explanation:
Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300\text{ mL}300 mL300, start text, space, m, L, end text of cherry juice.
Answer:
1.2Litres
Question:
Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL300\text{ mL}300 mL300, space, m, L of cherry juice. How many liters of fruit punch did Wes make?
Step-by-step explanation:
Let the total punch bowl be = P
Portion of Orange juice = ½ of total punch bowl
= ½ × P = P/2
Portion of grape = ½ of the remaining space
Remaining space = P - P/2 = P/2
Portion of grape = ½ × P/2 = P/4
The rest of the punch bowl is for cherry = 300mL
P/2 - P/4 = 300
(2P - P)/4 = 300
P/4 = 300
P = 300×4
P = 1200mL
1mL = 10^(-3)L
P = 1.2 ×10³ × 10^(-3)L
P = 1.2L
Wes made 1.2liters of fruit punch.
If 3 inch square is covered with 1inch squares how many of the 1 inch squares are needed? What is the area of the larger square
Answer:
9 1-inch squares will cover the bigger square. Its area is the same as the amount of squares needed, 9 inches.
the larger Area will be 9 square inch.
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
To cover a 3 inch square with 1 inch squares, we can arrange the 1 inch squares in a 3 by 3 grid.
So, we need 9 of the 1 inch squares to cover the 3 inch square.
The area of the larger square can be found by squaring the length of one of its sides.
Since the side length of the 3 inch square is 3 inches, the area of the larger square is:
Area = (side length)² = 3² = 9 square inches
Therefore, the larger Area will be 9 square inch.
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The equation c=13t gives the cost c (in dollars) of t tickets for a play. Identify the independent and dependent variables.
help
Answer:
Independent variable is tickets.
Dependent variable is cost(dollars).
Step-by-step explanation:
Dependent variable depends on independent variable.
In this question, the total amount deoend on number of ticket bought. As number of tickets increases, the total cost will also increase.
pleaseee help me w dis!!! marking brainiest!!!
Answer:
x = -8 x=1
Step-by-step explanation:
x^2 +7x = 8
Subtract 8 from each side
x^2 +7x -8 =0
Factor
What 2 numbers multiply to -8 and add to 7
8*-1 = -8
8+-1 = 7
(x+8)(x-1) =0
Using the zero product property
x+8 =0 x-1 =0
x = -8 x=1
What does BC equal? Round your answer to the nearest tenth.
A. 22
B. 15.01
C. 2.14
D. 455
[tex]answer \\ = 15.01 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Calculating the Surface Area of a Triangular Prism The triangular prism shown has 1235 triangular face(s) and 1235 lateral face(s). The area of one triangular face is 7.58.1251517 mm2. The surface area of the triangular prism is 55.5127.5135150 mm2.
Corrected Question
The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.
The area of one triangular face is 7.5,8.125,15,or 17 [tex]mm^2[/tex]
The surface area of the triangular prism is 55.5,127.5,135,or 150 [tex]mm^2[/tex]
Answer:
(B)2 triangular faces
(C)3 lateral faces.
(A)Area of one Triangular Face [tex]=7.5mm^2[/tex]
(C)Total Surface Area of the Triangular prism [tex]=135mm^2[/tex]
Step-by-step explanation:
The triangular prism is attached.
The triangular prism shown has 2 triangular faces and 3 lateral faces.
Base of the triangle =2.5mm
Height of the Triangle =6mm
Area of one Triangular Face [tex]=\frac{1}{2}*6*2.5=7.5mm^2[/tex]
The dimensions of the lateral rectangles are:
2.5 mm by 8mm6 mm by 8mm6.5 mm by 8mmTherefore, total surface area of the triangular prism
=2(Area of one Triangular Face)+Area of 3 rectangular faces
[tex]=2(7.5)+ (2.5 X 8+ 6 X 8 + 6.5 X 8)\\=15+120\\=135mm^2[/tex]
Total Surface Area of the Triangular prism [tex]=135mm^2[/tex]
Answer:
A....2
B....3
C.....7.5
D......135
Step-by-step explanation:
What two whole, positive numbers that have a one-digit answer when multiplied and a two-digit answer when added?
Answer:
1 & 9
Step-by-step explanation:
I believe that the numbers 1 and 9 fit the statement- as they would be 1 x 9= 9 and 1 + 9=10.
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What is the slope of the line represented by the points in the table? x y –2 –0.35 –1 –0.3 0 –0.25 1 –0.2 2 –0.15 Negative 0.05 Negative .005 0.005 0.05
Answer:
its a
Step-by-step explanation:
the slope goes from point a to , in this case is subtracting -.05
Answer:
its A - 0.05
Step-by-step explanation:
edge 2020!
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11 + 11 = 4 22 + 22 = 16 33 + 33 = ?
Answer:
66
Step-by-step explanation:
Answer:
Answer will be 36
Step-by-step explanation:
11*11=4 -> (1+1)*(1+1)=4, 22*22=16 -> (2+2)*(2+2)=16. Hence, 33*33 -> (3+3)*(3+3)=36. Add the digits of 11 that will be 2. hope this helps you :)
Identify whether the relationship between a and b in the image below is complementary, or linear pair/supplementary.
I’m thinking it’s complementary?
Answer:
Complementary angles.
Step-by-step explanation:
Complimentary angles means sum of angles = 90°
Supplementary angles of linear pair means sum of pair of angles = 180°
As shown in the picture attached, sum of both the angles 'a' and 'b' is equal to 90°,
a + b = 90°
Angles 'a' and 'b' will be complementary angles.
What is the numerical solution to the equation five less than three times a number equals four more than eight times rhetorical number?
Answer:
3n-5=8n+4
Step-by-step explanation:
Factor this polynomial completely over the set of complex numbers: f(x)=x^3-x^2-4x+4 Pleaseee answer asap! Thanks!
f(x)=(x-1)(x+2)(x-2) over all it equals to zero
Answer:
(x-1) (x-2) (x+2)
Step-by-step explanation:
1. Factorice x^2 y -4 de la expresion.
x^2(x-1) -4(x-1)
2. Luego, debemos de factorizar x-1 de la expresion.
(x-1)(x^2 -4)
3. Usando a^2 - b^2= (a-b)(a+b) factorice la expresion.
(x-1) (x-2) (x+2)
Find the solution of ×\2-1/5=×\3+1/4 please help me with this
Answer:
[tex]x=\frac{27}{10}[/tex]
Step-by-step explanation:
Assuming that the beginning equation is [tex]\frac{x}{2} -\frac{1}{5} =\frac{x}{3} +\frac{1}{4}[/tex]
First, we should find the common denominator of each of fractions. For all of these denominators, 60 is the smallest common denominator
[tex]\frac{x}{2}(\frac{30}{30}) -\frac{1}{5}(\frac{12}{12}) =\frac{x}{3}(\frac{20}{20}) +\frac{1}{4} (\frac{15}{15}) \\\\\frac{30x}{60}-\frac{12}{60} =\frac{20x}{60}+\frac{15}{60}[/tex]
Now, we can multiply each side by 60, which will remove the fractions
[tex]30x-12=20x+15[/tex]
Now we can add 12 to each side
[tex]30x=20x+27[/tex]
Now subtract 20x from each side
[tex]10x=27[/tex]
And lastly, divide each side by 10
[tex]x=\frac{27}{10}[/tex]
How much is 2a+b greater than 2b? Simplify your result
Step-by-step explanation:
2a+b is just greater than 2b with a
what is the quotient of x^2-9x+14/x-7
Please answer this correctly
Answer
[tex] {10}^{ - 6} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Subtract 4x4 + 2x² +5 from the sum of 2x4 - 4x2–3 and 3x4 - 3x² +9.
Answer:
x^4-9x²+1
Work:
an elevator moves at a rate of -5.8 feet per second from a height of
300 feet above the ground. the elevator takes 3 seconds to make its first stop.
how many feet above the ground is the elevator now?
Answer:
282.6 ft
Step-by-step explanation:
First you must figure out how far the elevator drops in three seconds.
To do so you multiply how far it falls per second (5.8 ft) by how long it falls for (3 seconds). 5.8 * 3 = 17.4
now you subtract 17.4 from 300 to get 282.6 ft
Item 50
There are 6 green marbles and 7 blue marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a green marble? Write your answer as a fraction in simplest form.
Answer:
6/13
Step-by-step explanation:
There are 13 marbles total in the bag.
The chance of picking a green marble is 6/13. This fraction cannot be simplified.
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images. Sample 1= 4 Sample 2= 1 Sample 3= 9 How do the sample statistics compare to the population mean and standard deviation?
k = 13The smallest zero or root is x = -10
===============================
Steps:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+1 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
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Hope this helps.
Question 9
1) Which number is a rational number?
134
49
9
13
2
16
Answer: all of them
Step-by-step explanation:
Rational numbers are represented as dividing two integers, which is a fraction or decimal. Therefore, the numbers stated (134, 49, 9, etc.) are rational numbers since they are all whole numbers.