Answer:
okay so I am assuming we are dividing okay so here is how we will do it
here are the top and bottom values written more easily
3^n -3^n-1
3^n+1 +3^n
so first we can cancel out the 3^n values then get left with this
3^n-1
3^n+1
now it depends on the instructions but you can leave it like this or you can subtract their powers to get
3^n-2
Step-by-step explanation:
I need help with this proof!
Answer:
∠B ≅ ∠F ⇒ proved down
Step-by-step explanation:
In the two right triangles, if the hypotenuse and leg of the 1st right Δ ≅ the hypotenuse and leg of the 2nd right Δ, then the two triangles are congruent
Let us use this fact to solve the question
→ In Δs BCD and FED
∵ ∠C and ∠E are right angles
∴ Δs BCD and FED are right triangles ⇒ (1)
∵ D is the mid-point of CE
→ That means point D divides CE into 2 equal parts CD and ED
∴ CD = ED ⇒ (2) legs
∵ BD and DF are the opposite sides to the right angles
∴ BD and DF are the hypotenuses of the triangles
∵ BD ≅ FD ⇒ (3) hypotenuses
→ From (1), (2), (3), and the fact above
∴ Δ BCD ≅ ΔFED ⇒ by HL postulate of congruency
→ As a result of congruency
∴ BC ≅ FE
∴ ∠BDC ≅ ∠FDE
∴ ∠B ≅ ∠F ⇒ proved
A regular pentagon has sides 2x - 16. What is the perimeter of the pentagon?
AAAA HEL;P[ PLEASE JHSKJHKDJS
Answer:
c
Step-by-step explanation:
Answer:
for sure the third one i did the test
Step-by-step explanation:
The sum of three times a number and -4 is at least twice the number plus 8
Answer:
x<=12
Step-by-step explanation:
3x+(-4)<=2x+8
3x-4<=2x+8
3x-2x-4<=8
x-4<=8
x<=8+4
x<=12
Answer:
12 ≤ x
Step-by-step explanation:
3x-4 ≥ 2x+8
3x-3x-4 ≥ 2x-3x+8
-4-8 ≥ -1x+8-8
-12 ≥ -1x
You divide -1 on both sides and get...
12 ≤ x
Because you have to switch the sign around. I hope this helps!!
Factor the algebraic expression 28a + 24
Answer:
4(7a+6)
Step-by-step explanation:
Factor 28a+24
28a+24
=4(7a+6)
Write "3 less than the product of 5 and b" as an algebraic expression.
Answer:
5b - 3
Step-by-step explanation:
5b-3 is the algebraic expression for "3 less than the product of 5 and b"
What is expression?Expression is a combination of variables, numbers and Operators.
The given sentence is
"3 less than the product of 5 and b"
Let us write the sentence in algebraic form.
We know that product of 5 and b means multiplication of 5 and b that means five times of b.
3 less than means subtracting 3 from another number.
So 3 less than the product of 5 and b is 5b-3.
Hence 5b-3 is the algebraic expression for "3 less than the product of 5 and b"
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
Divide.
5/6 ÷ −2/3
pls help
Answer:
exact form: -5/4
Decimal Form: -1.25
Answer:
-5/4
Step-by-step explanation:
so, in order to divide fractions you can switch the numerator and denominator of the second fraction, then multiply.
5/6 divided by -2/3
5/6 multiplied by -3/2
then multiply
5 times -3 is -15
6 times 2 is 12
-15/12
simplify
-5/4
The kinetic energy of a body of mass 2 kg is 25 J. Its speed is??
Step-by-step explanation:
Kinetic Energy (K. E) = 25 J
Mass ( m) = 2 kg
Velocity or speed (v) = ?
We have the formula that
[tex]ke \: = \frac{1}{2} m {v}^{2} \\ or \: 25 = \frac{1}{2} \times 2 \times {v}^{2} \\ or \: 25 = {v}^{2} \\ or \: {5}^{2} = {v}^{2} \\ therefore \: v \: = 5 \: m |s[/tex]
it's speed is 5 m/s .
Hope it helps. :)
The speed of the body is 5 m/s
Applying the formular of kinetic energy
Kinetic energy: This can be defined as the energy posses by a moving body or that depends on the speed of a body.
The formular for kinetic energy is
E = mv²/2.................... Equation 1
Where E = Kinetic energy of the body, m = mass of the body, v = veocity/ speed of the body.
make v the subject of equation 1 above
v = [tex]\sqrt{2E/m}[/tex]................ Equation 2
From the question,
Given: E = 25 J, m = 2 kg
Substitute these values into equation 2
v = [tex]\sqrt{2*25/2}[/tex]
v = [tex]\sqrt{50/2}[/tex]
v = [tex]\sqrt{25}[/tex]
v = 5 m/s.
Thus, the speed of the body is 5 m/s
Learn more about Kinetic energy here: https://brainly.com/question/20658056
This area model shows the quotient of 1/5÷4.
Answer: 4/5
Step-by-step explanation: 1/5 times 5/1=4/5
Mark works at a clothing store and earns a 20% commission on his total sales. Last month, Mark sold $1,500 in clothing total sales. What was his commission last month?
A.
$20
B.
$30
C.
$300
D.
$600
Answer:
It would be C
Step-by-step explanation:
Use a calculator, or go in Accounting.
Hope this helps :)
A 4-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, 100 percent. Column 2 has entries 0.25, 0.25, 0.25, 0.25, 1. Column 3 has entries one-fourth, one-fourth, one-fourth, one-fourth, 1. Column 4 has entries 14, 14, 14, 14, 56.
Which expressions can you use to find 75% of 56? Check all that apply.
0.25 × 56
Three-fourths × 56
0.75 × 56
One-fourth × 56
3 × 14
Answer:
Three-fourths × 56
0.75 × 56
3 × 14
Step-by-step explanation:
To obtain 75% of 56 ;
Mathematically ;
75% of 56 = 75/100 * 56 = 42 (valid)
= 0.75 * 56 ( valid)
(75/100) * 56 = (3/4) * 56 = 42 (valid)
(75/100) * 56 = (3/4) * 56 = 3 * (56/4) = 3 * 14 = 42 (valid)
0.25 * 56 = 14 ( invalid)
(1/4) * 56 = 14 (invalid
Answer:
3/4
Step-by-step explanation:
At the local gas station, gasoline costs $2.75 per gallon and diesel fuel costs $3.02 per gallon. Gabriel needs to purchase 15.2 gallons of gasoline for his truck, and 9.5 gallons of diesel fuel for his tractor. What is the total Gabriel will spend on gasoline and diesel fuel? Show your work. At the local gas station, gasoline costs $2.75 per gallon and diesel fuel costs $3.02 per gallon. Gabriel needs to purchase 15.2 gallons of gasoline for his truck, and 9.5 gallons of diesel fuel for his tractor. What is the total Gabriel will spend on gasoline and diesel fuel? Show your work. At the local gas station, gasoline costs $2.75 per gallon and diesel fuel costs $3.02 per gallon. Gabriel needs to purchase 15.2 gallons of gasoline for his truck, and 9.5 gallons of diesel fuel for his tractor. What is the total Gabriel will spend on gasoline and diesel fuel? Show your work.
Answer: $70.49
Step-by-step explanation:
Cost of gasoline = $2.75 per gallon
Cost of diesel fuel = $3.02 per gallon.
Since Gabriel needs to purchase 15.2 gallons of gasoline for his truck, the amount spent on gasoline will be:
= 15.2 × $2.75
= $41.80
Since he needs to spend 9.5 gallons of diesel fuel for his tractor, the amount spent on diesel fuel will be:
= 9.5 × $3.02
= $28.69
Total cost spent will be:
= $41.80 + $28.69
= $70.49
Part 3: The function f(x) = 2* is reflected vertically, translated 5 units
up and 3 units left to find g(x). (10 points per answer)
1. Write out the function g(x).
2. What is the domain of g(x)?
3. What is the range of g(x)?
Answer:
First, let's define the transformations in a general way.
Vertical translation:
A vertical translation of N units is defined as:
g(x) = f(x) + N
if N is positive, the translation is up
if N is negative, the translation is down.
Horizontal translation:
A horizontal translation of N units can be written as:
g(x) = f(x - N)
if N is positive, the translation is to the right
if N is negative, the translation is to the left.
Reflected vertically (or a reflection over the x-axis)
This type of reflection changes the sign of the y component.
We can write those as:
g(x) = -f(x)
Then:
We start with the function:
f(x) = 2^x
First we reflect it vertically.
g(x) = -2^x
now we do a vertical translation of 5 units up, then:
g(x) = -2^x + 5
Now we do a translation of 3 units to the left, then we get:
g(x) = - 2^(x + 3) + 5
Then we already did the first step.
Now we want to find the domain for this function, the domain will be the set of the possible values of x that we can input in the function g(x).
Notice that in this function the denominator is never zero, so there are no values of x that generate problems here, so the domain will be the set of all real numbers, that can be written as:
(-∞, ∞)
3) Now we want to find the range, this is the set of the possible values of g(x).
The Largest value of g(x) will be when the exponential part tends to zero, this is for really small values of x, such that when x goes to minus infinity, -2^(x + 3) goes to zero.
Then:
g(-∞) ≈ 5
The maximum of the range is 5.
And we do not have a minimum, because as x increases the function will decrease infinitely.
Then the range will be:
(-∞, 5)
(A graph of the function can be seen below)
PLEASE HELP DUE IN 30 MINUTES :((
Which best describes the effect on the graph of f(x) = 4x+8 if the y-intercept is changed to -3?
Put the following integers in order from least to greatest.
{-22-, 63, 54, -89, -71, -10)
Damian's teacher told him that the standardized score (z-score) for his science exam, as compared to the exam scores of other students in the course, is 1.50. Which of the following is the best interpretation of this standardized score?
Damian's test score is 150.
Damian's test score is 1.50 standard deviations above the average test score of students in the course.
Damian's test score is 1.50 above the average test score of students in the course.
Damian's test score is 1.50 times the average test score of students in the course.
None of the above gives the correct interpretation.
Answer:
Damian's test score is 1.50 standard deviations above the average test score of students in the course.
Step-by-step explanation:
Took the test
Evaluate each expression using the values m = 7, r = 8, and t = 2.
1. 5m - 6
2. 4m + t
3. r/t
4. mt
5. 5r + 2m
6. rm
7. 3m - 5t
8. mr/t
Answer:
Step-by-step explanation:
For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5).
What does this symbol ± mean?
Plus or Minus.
For example.
5 ± 2 = 5 + 2 or 5-2
Therefore the answer is 7 or 3.
Answer:
It means that the number can be positive or negative.
Step-by-step explanation:
I hope this helps!!!
f f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.
Answer:2/3
Step-by-step explanation:
Steps in pic below
Kent has a $20 gift certificate for the
pet store. He chooses 2 angelfish
that each cost $3.45 and 3 clownfish
that each cost $4.82.
If he uses his gift certificate, how
much money will he need to pay?
Answer:
let a be the number of angles is using the ratio of clownfish we can write the proportion
Step-by-step explanation:
cross multiply Zane divide both sides by 5 so there are 48 Angle Fish
for the Goldfish cross multiply or divide both sides by 4 so there are 36 goldfish
If BC = 3x, CD = 7x, and BD = 10, what is BC?
Answer:
BC= 3
Step-by-step explanation:
Suppose a line BD is 10 and it has a point C somewhere on the line. It is given that BC is 3times and CD is 7 times or algebraically if we take x as a variable then according to the given information
BC+ CD= BD
3x+ 7x= 10
10x= 10
x= 10/10
x= 1
3x would give 3 (1)= 3
Hence the Line BC = 3
and the line CD= 7
Rory rode his bike a total of 7.75 miles last week. He biked the same distance each of the 5 days he rode. How many miles did Rory ride his bike each day?
Answer:
Rory rode 1.55 miles each day
Step-by-step explanation:
7.75 divided by 5
If ab perpendicular to cd and the slope of ab = 1 over 2 then the slope of cd =
Answer:
CD = -2x
Step-by-step explanation:
Negative reciprocal
Help me solve this problem please
Answer:
The answer is the first one
Step-by-step explanation:
What is the slope of the equation y-2= -6(x+6)
Please answer am really failing my math and i need this answer asap
Answer:
I will explain each step
3(x-y) / 2 =9
so first you have to make the equation equal to 0 so you can find the intercepts
3(x-y) /2 -9 =0
now simplify
3x-3y/2 -9 =0
2(3x-3y/2 -9)=0(2)
3x-3y-18
we will factor
3(x-y-6)
3=0
(x-y-6)=0
make the x=0 to find y and vise versa
(-y-6)=0
-y=6
y=6/-1 or -6
(x-6)=0
x=6/1 or 6
2/3x +4(y-2)=0
it is already equal to 0 to we simplify and factor
3(2/3x = 4(y-2)= 0(3)
2x+ 4y -8
2(x+y-4)
2=0
as we did in the last problem make x=0 then do the same to y
(y-4)=0
y=4
(x-4)=0
x=4
Step-by-step explanation:
Please help me.........
Answer:
5 kilometers per hour
Step-by-step explanation:
look at where the line meets a point. the first line is 1 hr and 5 kilometers. the second one would be 2 hrs and 10 kilometers.
hope this helps!
13/10 divided by 2/10
Answer:
The answer is 13/2Step-by-step explanation:
I hope it helps ❤❤❤Answer:
6.5
Cause when u reciproce it this iswhat u get
Step-by-step explanation:
13/10÷2/10
13/10×10/2
1.3×5
=6.5
Solving equations
3/4x+2=5
Answer:
x = 4
Step-by-step explanation:
x in (-oo:+oo)
(3/4)*x+2 = 5 // - 5
(3/4)*x-5+2 = 0
3/4*x-3 = 0 // + 3
3/4*x = 3 // : 3/4
x = 3/3/4
x = 4
A coach has 17 pompoms to give to her cheerleading team. If each cheerleader needs 2 pompoms to compete, what is the greatest number of cheerleaders that can compete? Will there be any pompoms remaining? If so, how many? Show your work on paper.
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that a coach has 17 pompoms to give to her cheerleading team and that each cheerleader needs 2 pompoms to compete.
The greatest number of cheerleaders that can compete will be calculated as:
= 17 / 2
= 8 1/2
Therefore, the greatest number of cheerleader is 8.
There be 1 pompom remaining.