Using exponential properties, it is found that the equivalent expressions are given by:
[tex]3^6[/tex].[tex]3^{-4} \times 3^{10}[/tex][tex]3^0 \times 3^8[/tex].(3 · 3) · (3 · 3 · 3 · 3)What happens in the multiplication of two terms with the same base and different exponents?We keep the base and add the exponents, that is:
[tex]a^b \times a^c = a^{b + c}[/tex]
In this problem, we want an expression equivalent to:
[tex]3^2 \times 3^4 = 3^{2 + 4} = 3^6[/tex]
The equivalent expressions have the same result, hence, they are:
[tex]3^6[/tex].[tex]3^{-4} \times 3^{10}[/tex][tex]3^0 \times 3^8[/tex].(3 · 3) · (3 · 3 · 3 · 3)More can be learned about exponential properties at https://brainly.com/question/234372
3^6 Or A
3^-4 · 3^10 or C
3^3 · 3^3 Or E
(3 · 3) · (3 · 3 · 3 · 3) Or H
Pls consider me for Brainliest!!
What graph represents the equationy = 2x – 3?
Answer:
linear graph
Step-by-step explanation:
because the equation of the line is straight
help please
15 − 20 + (−15) + (+20)=
Answer:
-5+5
= 0
Step-by-step explanation:
Answer:
-5+5
= 0
Step-by-step explanation:
i need help what is 5/6 divided by 3? any good answers ??
Answer: 5/18
Step-by-step explanation:
Answer:
1 remainder 2 or 1 2/3
Step-by-step explanation:
this is the answer
If a submarine descends to the ocean floor which is 2,100 feet below sea level in 3 hours, what is the rate of descent?
Answer:
700 feet per hour is the rate of descent
Step-by-step explanation:
3 hours is 2100 so 2100/3 is 700 which is per hour
What is the Value of X
What is the Length of JM?
Answer:
JM = 17
x = 12
Step-by-step explanation:
The given triangles are similar with ASA rule if so then x + 5 must be equal to 2x - 7
x + 5 = 2x - 7 and 5 + 7 = 2x - x
12 = x
The length of JM
2x - 7 can be written as 2×12 - 7 = 17
What is the sum of the rational expressions below? 2x + 7 / x + 5 + x - 3 / x + 5
Answer:
[tex]\frac{3x+4}{x+5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2x+7}{x+5}[/tex] + [tex]\frac{x-3}{x+5}[/tex]
Since both fractions have a common denominator then add the numerators, placed over the common denominator.
= [tex]\frac{2x+7+x-3}{x+5}[/tex]
= [tex]\frac{3x+4}{x+5}[/tex]
Answer:
The answer is
[tex] \frac{3x + 4}{x + 5} [/tex]
Step-by-step explanation:
We can do this by using the denominators.
[tex]then \\ \frac{2x + 7}{x + 5} + \frac{x - 3}{x + 5} \\ = \frac{2x + 7 + x - 3}{x + 5} \\ = \frac{3x + 4}{x + 5} [/tex]
Simplify the expression. 25(z-4)
Answer:
25z-100
Step-by-step explanation:
Transform to slope-intercept form. 1+2y=6x-3
Answer: Y=3X-2
Step-by-step explanation:
First you are gonna need to combine all like factors.
1+2y=6x-3 (subtract 1 from both sides)
2y=6x-4
Then you need to get the y by itself.
2y=6x-4 (divide all terms by 2)
y=3x-2
now you are in slope intercept form (y=mx+b)
Jada has a stand in the marketplace where she sells ground cumin. Her weekly expenses are $300, and she sells her cumin at a fixed price per kilogram. If she sells 120 kilograms of cumin, her weekly net profit is $600.
Answer:
Step-by-step explanation:
The net profit of the marketplace is the difference between the revenue and the expenses. The revenue is the product of number of kilograms sold and the price per kilogram.
Profit = Revenue - Expenses
600 = 120x - 300
The value of x from the equation is 7.5. The answer therefore for the first question is $7.5. Then, the number of kilogram of cumin she needs to sell to cover the expenses is $300/$7.5 and that is equal to 40.
A store is having a sale where school supplies are 20% off their original price. A backpack is on sale for $15.20. What was the original price of the backpack?
Answer:$ 19.00
Step-by-step explanation:
The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.
Exercice 1:
Voici un programme de calcul :
Choisir un nombre
Multiplier ce nombre par 4
Ajouter 8
Multiplier le résultat par 2
1. Vérifier que si on choisit le nombre -0,5, ce programme donne 12 comme résultat final.
2. Le programme donne 34 comme résultat final, quel est le nombre choisi au départ ?
Dans la suite de l'exercice, on nomme x le nombre choisi au départ.
3. L'expression A = 2(4x + 8) donne le résultat du programme de calcul précédent pour un nombre x
donné.
On pose B = (4 + x)2 – x2
Prouver que les expressions A et B sont égales pour toutes les valeurs de x.
4. Pour chacune des affirmations suivantes, indiquer si elle est vraie ou fausse.
On rappelle que les réponses doivent être justifiées.
Affirmation 1: Ce programme donne un résultat positif pour toutes les valeurs de x.
Affirmation 2 : Si le nombre x choisi est un nombre entier, le résultat obtenu est un multiple de 8.
3.5 m = ______cm
PLEASE HELP ME!!!!!!!
Answer:
Formula *10
Step-by-step explanation:
35
Help me please :( I’m going to get beat if I don’t do these topics it’s finding the angles measures given two parallel lines
what is the diagonal of a solid square. the sides are 7. please help
Answer:
9.89949 units
Step-by-step explanation:
the diagonal of a 7 by 7 square is the same as the hypotenuse of a 7 by 7 triangle. using the pythagorean theorem, you can conclude that
7²+7²=c²
49+49=c²
98=c²
√98=c
c≈9.89949 units
i dont get this pls help with steps asap!
Answer:
2.5
Step-by-step explanation:
it's the midpoint of XZ
A bag contains 4 Snickers bars and 1 Twix bar, and the outcome is drawing a Twix bar. Does the phrase that describes the probability of drawing a Twix bar
A.
No, because there are still only two possible outcomes.
B.
No, because it is still less likely to have an outcome of drawing a Twix.
C.
Yes, because there are still only two possible outcomes.
D.
Yes, because it is still less likely to have an outcome of drawing a Twix.
Answer:
Yes because there are still only two possible outcomes
Step-by-step explanation:
I think it’s this one cause I’m on it too
You want to have $10,000 in your account after five years. Find the amount your initial deposit should be if the account pays 3.5% annual interest compounded monthly.
Answer: 8396.71
Step-by-step explanation:
what is the square root of 169
Answer: 13
Step-by-step explanation:
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-3,1), m= 7
Answer:
y=7x+22
Step-by-step explanation:
the equation of a line is y=mx+b
we know that 7 is m so
y=7x+b
but we got to find b
so we use the point (-3,1) and substitute in our equation
1=7(-3)+b
lets find b
1= -21+b
22=b
okay then we found b now lets go to our original problem and substitute b
y=7x+22
I hope this helped you :)
An item with an original price of p dollars is on sale at a 35% discount. Write an
expression that is equivalent to the price of the item with the discount.
Write the equation for this line in slope-intercept form.
y=-2x+?
A. -4
B. 2
C. -2
D. -1/2
Please explain as simply as you can I'm really struggling. Also will give brainly
Answer:
The answer is A. -4.
Step-by-step explanation:
The missing value you are looking for is the y-intercept or where the line crosses the y axis.
Express two-thirds of age gap in terms of y if the age gap between a father and a daughter is y years
Answer:
(2/3)y
Step-by-step explanation:
Given that :
Age gap between father and daughter = y
2/3 of the difference in their ages expressed as in terms of y ;
2/ 3 * y
(2/3)y
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, how many minutes would it take the slower pipe to fill the tank by itself? Your answer
Answer: 144 minutes
Step-by-step explanation:
Based on the information that has been given in the question, the minutes that the slower pipe alone can use in filling the tank can be denoted by y minutes.
Therefore, the faster pipe will fill it in 1/3 × x = x/3 minutes.
Therefore,
1/x + 3/x = 1/36
4/x = 1/36
x = 36 × 4
x = 144
The number of minutes taken by the slower pipe will be 144 minutes.
solve this system of equations by using the elimination method.
2x-3y=25
5x+3y=10
Elimination method is my favorite way to solve 2 equations like this written in standard form! First I'm going to rewrite the equations and mark numbers to make this explanation more clear.
2x-3y=251️⃣
5x+3y=102️⃣
Looking at these 2 equations we can see that there is a +3 and a -3. This could be eliminated by adding the 2 equations together! *Remember what is on the left side adds with the left side, and what's on the right side adds with the right side. Therefore we can do:
1️⃣+2️⃣
2x-3y+5x+3y=25+10
7x=35
x=5
Then we can substitute the value of x back into either of the 2 equations.
2*5-3y=25
10-3y=25
3y=-15
y=-5
Then write the 2 answers together.
{x=5
{
{y=-5
Now we can check our answers.
2*5-3*-5=10- -15= 10+15=25 Correct
5*5+3*-5= 25+ -15= 10 Correct
From this we can see that x=5 y= - 5 are the correct answers!
A triangle with vertices (0,0), (3,6), (7,4) is dilated by a factor of 3 with its center at the origin.
Answer:
[tex]A' = (0,0)[/tex]
[tex]B'= (9,18)[/tex]
[tex]C'= (21,12)[/tex]
Step-by-step explanation:
Given
[tex]A= (0,0)[/tex]
[tex]B= (3,6)[/tex]
[tex]C= (7,4)[/tex]
[tex]k = 3[/tex] -- dilation factor
Required
Determine the coordinates of the new triangle
This is calculated using:
[tex]New = Old * k[/tex]
So, we have:
[tex]A' = A *3[/tex]
[tex]A' = (0,0) *3[/tex]
[tex]A' = (0,0)[/tex]
[tex]B' = B * 3[/tex]
[tex]B'= (3,6)*3[/tex]
[tex]B'= (3*3,6*3)[/tex]
[tex]B'= (9,18)[/tex]
and
[tex]C' = C * 3[/tex]
[tex]C'= (7,4)*3[/tex]
[tex]C'= (7*3,4*3)[/tex]
[tex]C'= (21,12)[/tex]
ASAP please help me correct this if it is wrong
Answer:
I believe the answer for the first one is -3, 3, number 3 would be 12
Step-by-step explanation:
Because if you are dilating by 1/3 then you will be dividing by 3, so if your point A coordinates are -9,9 then that divided by 3 is -3,3
Number 3 is 12 because your total of units from point D to C is 18 and it says to dilate by scale factor of 2/3 which again means to divide by 2/3 making your new length 12 units.
A rectangle measures 2 1/3 inches by 1 2/3 inches. What is its area?
Answer:
35/9 inches
Step-by-step explanation:
you can put this in a mixed fraction, its still correct:
3 8/9
The area of the rectangle is 35/9 square inches.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
To find the area of a rectangle,
We multiply the length by the width.
Length = 2 1/3 = 7/3 inches
Width = 1 2/3 = 5/3 inches
Area = Length x Width
Area = (7/3) x (5/3)
Area = 35/9 square inches
Therefore,
The area of the rectangle is 35/9 square inches.
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ3
0.86 write the decimal as a fraction in simplest form
Answer:
43/50
Step-by-step explanation:
should be right.
Answer:
43/50
Step-by-step explanation:
86/100 divided by 2
Your garden has 9 pots that use 2 1/3 bag of soil. How much soil does each pot hold?
Answer:
2 6/7
Step-by-step explanation:
i divided
I need help with this plz