The equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,
[tex]2^{8p}=2^{5p+15}[/tex]
What is equivalent equation?Equivalent equation are the expression whose result is equal to the original expression, but the way of representation is different.
Given information-
The given equation in the problem is,
[tex]16^{2p}=32^{p+3}[/tex]
Write both the equation in the form of same base number as,
[tex](2^4)^{2p}=(2^5)^{p+3}[/tex]
The power of the power of a number can be written as product of both the numbers. Thus,
[tex](2)^{4\times2p}=(2)^{5\times(p+3)}\\2^{8P}=2^{5P+15}[/tex]
This is the required equation.
Now if the base is the same at both side of the expression, then the powers can be compared. Thus,
[tex]8p=5p+15[/tex]
Solve it further to find the value of p as,
[tex]8p-5p=15\\3p=15\\p=5[/tex]
Thus the equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,
[tex]2^{8p}=2^{5p+15}[/tex]
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
Answer:
C
Step-by-step explanation:
good luck
(7x2-4x-8) - (x2+6x-1)
Answer:
6x^2-10x-7
Step-by-step explanation:
(7x^2-4x-8) - (x^2+6x-1)
Distribute the minus sign
(7x^2-4x-8) - x^2-6x+1
Combine like terms
(7x^2-x^2 -4x-6x -8+1
6x^2-10x-7
Six days every week, Jill goes to Starbucks to get something. She
alternates in sequence between a Latte, a Mocha, and a Cappuccino,
and always gets the Venti size (20 ounces). The Latte has 240 calories. The Mocha has 340 calories, and the Cappuccino has 150 calories. A
year is approximately 52 weeks long. Consuming an extra 3,500 calories will cause you to gain one pound of fat. How many pounds of fat per year will Jill gain from feeding her Starbucks habit?
I need help with this question please.
Answer:
1/5x dogs were on a leash
Step-by-step explanation:
To work through this problem we have to keep in mind that x represents the number of dogs at the park.
1/5 of x dogs are leashed.
Therefore, we can conclude that the answer is 1/5x.
I have no idea if the picture of the dogs was meant to give a clue but hope this helps :)
what is the reciprocal of -0.06
Answer:
-16.666
Step-by-step explanation:
You can find the reciprocal by turning the intended fraction upside down.
[tex]\frac{-0.06}{1}[/tex] ⤭ [tex]\frac{1}{-0.06}[/tex] = [tex]\frac{100}{-6}[/tex] = [tex]\frac{50}{-3}[/tex] = -16.6666666667
Hector used 438 cups of wheat flour and some corn starch to replace cake flour in a recipe that required 5 cups of cake flour. How much wheat flour is used to replace each cup of cake flour?.
Answer:
438/5 and some corn starch = 1 cup
so 87.6 of wheat flour cups for one cake flour cup
Step-by-step explanation:
1 cake flour=x
x=438/5
x=87.6 and some corn starch but it's not mentioned how much so we can just say 87.6 wheat flour cups for 1 cake flour.
Your dog is digging a huge hole in the backyard. On average he removes 32 cubic feet of
dirt each hour, How much dirt will he have removed if he digs for three hours. Express
your answer as a simplified fraction. SHOW YOUR WORK.
Answer:
The answer will be 96
Step-by-step explanation:
32×3=96
32
3
×
____
96
Answer:
96
Step-by-step explanation:
A__ is two or more atoms joined together
Answer: c
Step-by-step explanation:
The answer Is C molecule
Work out
5/8
×
8/25
Give your answer in its simplest form
[tex]\cfrac{5}{8}\cdot \cfrac{8}{25}\implies \cfrac{5}{25}\cdot \cfrac{8}{8}\implies \cfrac{1}{5}\cdot 1\implies \cfrac{1}{5}[/tex]
Solve for x and show all work.
[tex]\orange{\bigstar\underline{\underline {\pmb{\frak{ \purple{Required~Answer}}}}}}[/tex]
x = 21°y = 29°Explanation[tex] \\ [/tex]
To find value of x.
[tex] \\ [/tex]
⇢ (3x - 3)° = 60°
[tex] \\ [/tex]
Reason:-{
They both are alternate interior angles.
What is alternate interior angles.?
When two lines are cut by a third line, a transversal.}
[tex] \\ [/tex]
⇢ 3x - 3° = 60
⇢ 3x = 60° + 3°
⇢ 3x = 63°
⇢ x = 63°/3°
⇢ x = 21°
[tex] \\ [/tex]
Verification:
[tex] \\ [/tex]
⇢ (3x - 3)° = 60°
⇢ (3 × 21 - 3)° = 60°
⇢ 63° - 3° = 60°
⇢ 60° = 60°
LHS = RHS
HENCE VERIFIED!
[tex] \\ [/tex]
To find value of y.
[tex] \\ [/tex]
⇢(4y + 4)° + 60° = 180°
[tex] \\ [/tex]
Reason:-{
The lines are in linear pair.
What is linear pair?
A pair of adjacent angles that form angles when two lines intersect}
[tex] \\ [/tex]
⇢ (4y + 4)° + 60° = 180°
⇢ (4y + 4)° = 180° - 60°
⇢ 4y + 4° = 120°
⇢ 4y = 120° - 4
⇢ 4y = 116°
⇢ y = 116/4°
⇢ y = 29°
[tex] \\ [/tex]
Verification:
⇢ (4y + 4)° + 60° = 180°
⇢ (4 × 29 + 4)° + 60° = 180°
⇢(116 + 4)° + 60° = 180°
⇢ 120° + 60° = 180°
⇢ 180° = 180°
LHS = RHS
HENCE VERIFIED!
__________________~WindyMint♡
By using the equivalence of the formed angles, the solution is x = 41.
How to get X?
Note that the angle that is at the right of the equation with x, is equivalent to the bottom right angle, which measures 60°.
Then we will have that:
(3x - 3)° + 60° = 180°
Now we can solve that for x:
(3x - 3)° = 180° - 60° = 120°
3x = 120 + 3
x = 123/3 = 41
The solution is x = 41
If you want to learn more about angles, you can read:
https://brainly.com/question/17972372
If one book is 55 dirham then what is the cost of 20 books
Answer:
1100 dirham
Step-by-step explanation:
If one book is 55 dirham, then you multiply that by 20 to get the total cost.
(If you are supposed to go from dirham to something else, then I'm sorry I don't know)
Hope this helps!
HELP Solve for x and PS
Answer:
x = 18 2/3PS = 34 1/3Step-by-step explanation:
You want the values of x and PS for the trapezoid in the figure, given that its perimeter is 228 units.
SymmetryThe trapezoid is shown as an isosceles trapezoid, so PS = RQ. The Triangle RTQ will be repeated on the left side, meaning there is a point T' below point S such that T'P = 4 and T'T = SR = 4x+1.
PerimeterThe perimeter is the sum of side lengths. Working clockwise from the upper left corner this is ...
perimeter = (4x+1) +(2x -3) +4 +(4x +1) +4 +(2x -3) = 12x +4
SolutionSolving for x, we find ...
12x +4 = 228
12x = 224
x = 224/12
x = 18 2/3
And PS is ...
PS = RQ = 2x -3 = 2(18 2/3) -3 = 37 1/3 -3
PS = 34 1/3
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A student calculated the mean of a set of 15 numbers and gets a result of 41.6. In calculating the mean, he inadvertently entered 117 for one of the numbers into his calculator instead of 17. What is the true mean of the data
Answer:
35.93
Step-by-step explanation:
If the mean of 15 numbers is 41.6, the sum of these numbers must be (15)*(41.6) = 624
We n=know one of these numbers is the 117 that was entered by mistake. Subtract that out and replace it with the correct number, 17. In essence we are modifying the number by (-117+17) or -100.
524 is the corrected value. Divide that by 15 to find the ciorrect mean:
(524)/15 = 34.93
i will give brand list and hurry pleas
Answer:
3/2 cm/s
Step-by-step explanation:
speed = gradient of the line (slope)
To calculate the slope divide the change in y by the change in x:
(9 - 0) / (6 - 0) = 9/6 = 3/2 cm/s
Vhat is the length of the unknown leg in the right triangle?
25 m
b
20 m
o 5 m
5 m
o 45 m
15 m
Mark this and return
Save and Exit
Next
Answer:
15m
Step-by-step explanation:
to answer this question, we need to use pythagorean theorem. this theory says:
a² + b² = c²
so, let’s work out b.
a² + b² = c²
20² + b² = 25²
20 x 20 = 400. 25 x 25 = 625.
400 + b² = 625.
we want to solve for b, which means to get b in it’s own, so we are going to get rid of the 400 on both sides, leaving just b² on the one side.
625-400=225.
b² = 225
b = √225
b = 15 :)
hope this helps!!!!
Please help with mark brainliest if correct!!! ASAP
Answer:
2 mm: 1 m
Step-by-step explanation:
The scale drawing has the length of the soccer field as 232 millimetres.The actual field is 116 meters long.That is, the same soccer field has different lengths in actual and in a map.
These scale and actual lengths must be related, and they are related to each other by what we call the scale ratio.
Scale ratio = dimensions in a drawing : actual dimensions
= 232mm : 116m
(we divide this by 116 to get 2)
= 2mm : 1m
solve for x. show your solution
i’ll mark as brainiest
Answer:
x=12
Step-by-step explanation:
Using the external angle theorem (external angle = sum of interior angles that are NOT adjacent to the external angle you are finding), we can set up an equation...
140=3x+4+8x+4
Start by combining like terms...
140=11x+8
Subtract 8 from both sides
132=11x
Divide both sides by 11
x=12
Calculate how much more or less the muse will earn per month compared to selina, is selina salary is R234740
Answer:
um yes to the opreations sjut ad
What is the exact volume of the cylinder?
Answer:
pie x r² x h is volume of cylinder
Use the diagram to complete the statement.
measure of angle ECD
Answer:
∠ECD = 82°
Step-by-step explanation:
Alternate Interior Angles Theorem : when two parallel lines are cut by a transversal, the alternate interior angles are congruent. Alternate angles form a Z shape and are sometimes called "Z angles".
Therefore,
∠CDF = ∠GBC = 45°
∠CEF = ∠GAC = 53°
The sum of the interior angles of a triangle is 180°
⇒ ∠ECD + ∠CDF + ∠CEF = 180
⇒ ∠ECD + 45 + 53 = 180
⇒ ∠ECD = 180 - 45 - 53 = 82°
In ∆ABC
m<C be x[tex]\\ \tt\longrightarrow x+53+45=180[/tex]
[tex]\\ \tt\longrightarrow x+98=180[/tex]
[tex]\\ \tt\longrightarrow x=180-98[/tex]
[tex]\\ \tt\longrightarrow x=82[/tex]
Now
m<ECD and m<ACB are opposite hence equal
Find x
1. x + 10 < -7
2. -3x - 4 > 5
Help me please
1)
x+10<-7
bring 10 to the other side
x<-10-7
x<-17
2)
-3x-4>5
bring -4 to the other side
-3x>9
divide -3 at the other side, since it is negative it changes to less than
x<-3
Drag each label to the correct location on the image.
Tom is throwing darts at a target. In his last 30 throws, Tom has hit the target 20 times. You want to know the estimated probability that exactly one out of the next three throws does not hit the target.
Categorize the simulations as correct or incorrect simulations of Tom’s scenario.
Each scenario can be used to simulate probability, and there are 3 correct scenarios and 2 incorrect scenarios in the list of options
How to categorize the simulations?From the question, we have the following parameters:
Number of throws = 30Number of hits = 20This means that the probability of hit is:
P(Hit) = 20/30
Simplify
P(Hit) = 2/3
Using the complement rule,
P(Miss) = 1/3
The above means that the simulation that represents the situation must have the following parameters:
P(Success) = 2/3P(Failure) = 1/3Number of experiments = 3Using the above highlights, the correct scenarios are:
Rolling a die three times with numbers 1 to 4 representing a hitSpinner a spinner of 3 equal sections three times with two sections representing hitSpinner a spinner of 6 equal sections three times with four sections representing hitRead more about probability at:
https://brainly.com/question/25870256
#SPJ1
What is the equation of the circle if the center is located at ( 2,-5) and the circumference is 10？
There are 8 girls and 5 boys on the math team. Which ratio correctly describes the relationship between boys and girls
on the math team?
Answer:
8:5
Step-by-step explanation:
Adjust the equations to create three different parabolas that pass through the points.
Answer:
Make all of the +/-2 values into -3,+4
Step-by-step explanation:
This is because the x intercept values for a parabola are where the equation equals zero, by making the equations -3 and +4, the equations will give zero values at -4 and plus 3 when they are set equal to zero, I can specify further if need be.
What are the angles for angles 2 through 8?
Please help (NO BOTS)
Answer: angle 2= 145
angle 3= 145
angle 4=35
angle 5=35
angle 6=145
angle 7= 145
angle 8=35
Step-by-step explanation:
look over your angle theorems like the interior angles theorem and the supplementary angle theorem
"Point D has the same x-coordinate as the y-coordinate as B same same y-coordinate as the x-coordinate of point A." I need help on C.
Let's name the x-coordinates and y-coordinates
x-coordinate = abscicca y-coordinate = ordinateSo, According to question
Abscicca of Point D = Ordinate of Point BOrdinate of Point D = Abscicca of Point AAbscicca of Point A = 2
Ordinate of Point B = -4
Thus,Point D = (-4,2)
The function f(x) = 1/x-3 is defined for all real numbers except when x equals
1) 0
2) 3
3) --
4) 3
lol
Answer:
except when x = 3
Step-by-step explanation:
f(x) = [tex]\frac{1}{x-3}[/tex]
the denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
x - 3 = 0 ⇒ x = 3 ← excluded value
f(x) is defined for all real numbers except when x = 3
I need help please someone
Answer:
A- not sure how to show u
B- 50% or 1/2
C-33% or 1/3
D- 40% or 2/5 im not sure
Step-by-step explanation:
The bottom of a rectangular swimming pool has an area of 512 feet2. If the length of the
pool is 16 feet, what is the width?
How many solutions does this system have?
2 x +3y = -3
3x + 5 = -9
Answer:
x = 12 and y = -9
Explanation:
Given:
2 x +3y = -3
3x + 5y = -9
make x the subject:
[tex]2 x +3y = -3[/tex]
[tex]2x = -3 - 3y[/tex]
[tex]x = \frac{-3 - 3y}{2}[/tex] _____equation 1
[tex]3x + 5y = -9[/tex]
[tex]3x = -9-5y[/tex]
[tex]x = \frac{-9-5y}{3}[/tex] ______equation 2
solve them simultaneously:
[tex]\frac{-9-5y}{3} = \frac{-3 - 3y}{2}[/tex]
[tex]2(-9-5y) = 3(-3-3y)[/tex]
[tex]-18-10y = -9 - 9y[/tex]
[tex]-10y + 9y = -9 + 18[/tex]
[tex]-y = 9[/tex]
[tex]y = -9[/tex]
now solve for x:
[tex]2 x +3y = -3[/tex]
[tex]2x + 3(-9) = -3[/tex]
[tex]2x -27 = -3[/tex]
[tex]2x = -3 + 27[/tex]
[tex]2x = 24[/tex]
[tex]x = 12[/tex]
coordinates where they both intersect is (12,-9) at one point so they have one solution
Answer:
x = 12
y = -9
The system has one solution as it has one point of intersection at (12, -9)
Step-by-step explanation:
Equation 1: [tex]2x + 3y = -3[/tex]
Equation 2: [tex]3x + 5y = -9[/tex]
Rewrite equation 1 to make [tex]x[/tex] the subject:
[tex]2x + 3y = -3[/tex]
[tex]\implies 2x = -3 - 3y[/tex]
[tex]\implies x = -\dfrac32 - \dfrac32 y[/tex]
Substitute this into equation 2 and solve for [tex]y[/tex]:
[tex]3( -\dfrac32 - \dfrac32 y)+5y=-9[/tex]
[tex]\implies -\dfrac92 - \dfrac92 y+5y=-9[/tex]
[tex]\implies -\dfrac92 +\dfrac12 y=-9[/tex]
[tex]\implies \dfrac12 y=-\dfrac92[/tex]
[tex]\implies y=-9[/tex]
Substitute y = -9 into one of the equations to find [tex]x[/tex]:
[tex]2x + 3(-9) = -3[/tex]
[tex]\implies 2x - 27 = -3[/tex]
[tex]\implies 2x = 24[/tex]
[tex]\implies x=12[/tex]