1.2^a x 2^5 =2^0
a=?
Answer:
One thing that is unclear here is whether the "1." at the start is part of the number "1.2" or if it is an enumeration of the question, and the base raised to the exponent is in fact 2.
The rest of the equation seems to indicate the latter, so we'll solve both:
If 1.2ᵃ ₓ 2⁵ = 2⁰, then a is approximately equal to -19.009.
If as I'm guessing is the correct question, 2ᵃ ₓ 2⁵ = 2⁰, then a is equal to -5.
Step-by-step explanation:
Interpretation #1:
[tex]1.2^a \times 2^5 = 2^0\\1.2^a \times 32 = 1\\1.2^a = \frac{1}{32}\\log_{1.2} \frac{1}{32} = a\\a \approx -19.009[/tex]
Interpretation #2:
Here the question is much simpler, as we need only add the exponents when adding and dividing:
[tex]2^a \times 2^5 = 2^0\\2^a = 2^0 \div2^5\\2^a = 2^{-5}\\a = -5[/tex]
In a juggling competition, 7/ 20 of all the jugglers use balls only, 3/ 7 of all the jugglers use rings only, and the rest of jugglers use both balls and rings. If there are less than 200 jugglers in the competition, how many jugglers use both balls and rings?
Answer:
44
Step-by-step explanation:
Number who use balls only = 7 / 20
Number who use rings only = 3/7
Fraction who use both :
1 - (7/20 + 3/7)
1 - 0.7785714
= 0.2214285
If number of jugglers is less than 200
Number of jugglers who use both :
0.2214285 * 200
= 44.285714
Number of jugglers who use both should be about 44
2(-2×-8)+4×=2(1+3×) someone pls help
Answer:
x=-3
Step-by-step explanation:
2(-2x-8) + 4x = 2(1+3x)
Distribute:
-4x-16+4x=2+6x
Simplify Like-Terms:
-16=2+6x
Subtract 2 from both sides:
-18=6x
Divide both sides by 6:
x=-3
*You don't have to, but I am currently trying to reach the next level, and all I need is some more brainliest answers. If you think my answer was brainly enough, you can make my answer the brainliest, but no pressure. I just help people for fun! :) Thank you, have a great day!*
Given the equations y= 1/2x + 2 and y= -x - 1, what is the solution.
Answer:
(−2,1)(-2,1)
x=−2,y=1
Step-by-step explanation:
Tell me if it's correct
Solve the expressions when a = 9 and b = -3. Enter your answers in the boxes below.
A. -3b =
B. a/b + a =
PLEASE HELP ME
Answer:
A.27
B.6
Step-by-step explanation:
A. -3(9)=27
B.9/-3+9=-3+9=6
Plug in what its says a and b is equal to
Which of the following is true about the inequality below?
*>9
A. The inequality has an infinite number of solutions.
B. The inequality has no solutions.
C. The inequality has 2 solutions.
D. The inequality has 1 solution.
i need to know asap!!!
Answer:
I'm guessing A, but am not sure, as for any number can go there if it's over 9!
A school is looking to cater an event by having a food truck. Food truck A will charge $1.50 for each item sold and a fee of $50 to come to the school. Truck B will charge $2.75 per item but will not charge a fee to come to the school. How many items must the school purchase to have the cost of these two trucks be the same? Enter in your numerical answer.
Answer:
40 items
Step-by-step explanation:
I used the equation 1.5x+50=2.75x to find the answer. If the school were to buy 40 items from either truck, they would both amount to 110.
All squares are also rhombuses.
True or false
Answer:
true
Step-by-step explanation:
Cause if you draw a square and turn it, its gone be a rhombus
Answer:
True
Step-by-step explanation:
help will mark brainliest plz plz plz
Answer:
a.)2 b.)6
Step-by-step explanation:
a.) solve 7x+4=18 because EC bisects making FEC = CEG
b.) solve 12y+18=90 because AED is 90 degrees
............°_°.............
Answer:
3/4 and 0.95 would both result in a reduction.
Step-by-step explanation:
multiplying by anything less than 1 will make it smaller which both 3/4 and 0.95 are smaller than 1.
Hey again!
The answers to your question are 3/4 and 0.95
A reduction is making it smaller, and since 3/4 and 0.95 are smaller than 1, they result in a reduction
Hope it helps! Also, how many questions do you have left?
help plz plz plz will give brainliest
Answer:
An acute angle is an angle that measures less than 90 degrees
Step-by-step explanation:
solve the equation by completing the square.
4x(x + 6) = -40
Answer:
x = -6+-odmocnina36-40/2
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
10 times -4 is -40 since if you multiply a negative number by a positive you get a negative
A snail climbs to the top of a coconut tree 18 meters high. In an hour it will climb 2 meters. But if it go 2 meters, it will slips down one meter. Then how long does it take for the snail to reach the top of the coconut?
Step-by-step explanation:
18hr.
2m =1hr
but go 2m it will slips down 1m
is 1m =1hr
i am not sure
the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail?
Answer:
H = 11.3 or 11.4
Step-by-step explanation:
[tex]\frac{11sin46}{sin44}[/tex] = 11,3908...
[tex]\frac{11sin46}{sin44}=11,3[/tex]
(Im not sure)
PLEASE HELP FAST
decide if the following systems of equations have a single solution no solution or infinity many solution x+ 5y =9 _ x+5y=6
Answer:
no solutions
Step-by-step explanation:
I believe there are no solutions for these 2 equations.
Hope this helps!
Phineas and Ferb are preparing to conduct experiments at Dataknee Incorporated. Phineas bought 4 beakers and 3 goggles for $33. Ferb bought 6 beakers and 2 goggles for $32. How much did each beaker and each goggle cost?
Enter your one-sentence interpretation in the space below.*
Also the problem to geth the sentence
Answer:
Beaker: $3, Goggles: $7
Step-by-step explanation:
what is the slope of the line
(2,9) (3,7)
Answer:
Slope = -2
Step-by-step explanation:
[tex]\frac{7-9}{3-2}=-2[/tex]
Step-by-step explanation:
imma have to think about that one
 this one is really hard
Answer:
142
Step-by-step explanation:
opposite angle theorem
Answer:
D. 142
Step-by-step explanation:
They are vertical angles which are always equal
Plzzzzzzzzzz help me and dont lie
Without specialization, how would a person have to satisfy his or her needs? And is not B so is either A or C
A by doing it themselves
B by asking someone else
C by relying on teamwork
Answer:
A. by doing it themselves lol
Step-by-step explanation:
23x+50x-79x=??
have a great day
Answer:
-6x
Step-by-step explanation:
23x+50x-79x
We take out x from the terms and group them up.
We therefore get (23+50-79)x after taking out x, and grouping the coefficients together.
Calculating 23+50-79 gets us -6, which is the coefficient of the final answer.
So the answer would be -6x.
Answer:
Step-by-step explanation:
Here you go mate,
Step 1
23x+50x-79x Equation/Question
Step 2
23x+50x-79x Simplify
23x+50x-79x
Step 3
23x+50x-79x Combine terms
(23x+50x+(-79x))
Step 4
(23x+50x+(-79x)) Solve
answer
-6x
Hope it helps
use the chain rule to calculate y = (2u² + 3)⅓ and u = √(2x +1)
full method
Answer:
Given the reference to the chain rule, I assuming by "calculate", you mean "take the derivative of", in which case we have:
For the first function:
[tex]y = (2u^2 + 3)^{\frac{1}{3}}\\\\\frac{dy}{du} = \frac{1}{3}(2u^2 + 3)^\frac{-2}{3}(4u)\\\\\frac{dy}{du} = \frac{4u}{3}(2u^2 + 3)^\frac{-2}{3}\\\\\frac{dy}{du} = \frac{4u}{3(2u^2 + 3)^\frac{2}{3}}[/tex]
and for the second one:
[tex]u = \sqrt{2x + 1}\\\\u = (2x + 1)^{0.5}\\\\\frac{du}{dx} = 0.5(2x + 1)^{-0.5}(2)\\\\\frac{du}{dx} = \frac{1}{\sqrt{2x + 1}}[/tex]
what is this equation simplified as?
Answer:
-14/25
Step-by-step explanation:
:D
Sam bought a kite that he could do stunts with for $52. If he
paid $4.42 in sales tax, what was the sales tax rate?
Answer:
8.5%
Step-by-step explanation:
8.50% of 52= 4.42
Step by step explanation
Answer: x = 4 and y = -3
Step-by-step explanation:
2x + 4y = -4
2x = -4 - 4y
x = -2 - 2y
Now that we have solved the first equation for x, we plug (-2 - 2y) into the other equation in place of x and then solve for y.
3(-2 -2y) + 5y = -3
-6 - 6y + 5y = -3
-y = 3
y = -3
Now that we know y, we plug it into the original equation and solve for x.
2x + 4(-3) = -4
2x + -12 = -4
2x = 8
x = 4
You can check the answer by plugging both x and y into either of the original equations.
You are buying plants and soil for your garden. The soil cost $4 per bag and the plants cost $10 each. You want to buy at least 5 plants and can spend no more than $100. Write a system of linear inequalities to model the situation.
Answer:
The system of linear inequalities to model the situation is written as:
x + y ≥ 5..... Equation 1
4x + 10y ≤ 100..... Equation 2
Step-by-step explanation:
Let
The number is soil = x
The number of plants = y
You are buying plants and soil for your garden.
You want to buy at least 5 plants
At least = greater than or equal to with the inequality sign(≥)
Hence:
x + y ≥ 5..... Equation 1
The soil cost $4 per bag and the plants cost $10 each and can spend no more than $100.
No more than means Less than or equal to with the inequality sign( ≤ )
Hence:
$4 × x +$10 × y ≤ $100
= 4x + 10y ≤ 100..... Equation 2
Therefore, the system of linear inequalities to model the situation is written as:
x + y ≥ 5..... Equation 1
4x + 10y ≤ 100..... Equation 2
James purchased 3 pounds of steak for $21. Which equation can be used to determine the cost, y, to purchase
x pounds of steak?
Answer:
i belive its A
Step-by-step explanation:
y= 7 x or 21=7x3
y = 21 x=3
21 = 7x3
7x3=21
A number, x, is 4 times another number, y. The difference
between the two numbers is 18. What is the value of the
larger number?
Answer:
The value of the larger number is
[tex]x=24[/tex]
Step-by-step explanation:
A number, x, is 4 times another number, y.
[tex]x=4y[/tex] --------- (1)
The difference between the two numbers is 18.
[tex]x-y=18[/tex] -------(2)
Re-arranging equation (2) yields
[tex]-y=18-x\\y=x-18[/tex]------------- (3)
Substitute y=x-18 in equation (1)
[tex]x=4 (x-18)[/tex]
[tex]x=4x-72\\x-4x=-72[/tex]
[tex]-3x=-72\\x=\frac{72}{3}\\x=24[/tex]
Substitute x=24 in equation (3)
[tex]y=24-18\\y=6[/tex]
maria had $150 in gift certificates to use in a record store.she bought fewer than 20 recordings.each tape cost $5.95 and each cd cost $8.95. how many of each type of recordings might she have bought(it has to be graphed so i need points to plot)
Answer:
keep the canon digital marketing. this was not able the first one. it has to go on, I will not
The purpose of inverse trig functions is to identify the ____ that yield the given ____.
A) trigonometry function, value
B) value, angles
C) trigonometry function, angle
D) angle, value
Answer:
A
Step-by-step explanation:
PLEASE I BEG OF YOU PLEASE HELP ME PLEASEE
Answer:
hmmm this is too hard for me.
Step-by-step explanation: