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]
please help me on this will give you brainliest
Answer:
876
Step-by-step explanation:
since i helped can i have brainlist please :D
Translate the phrases to algebraic expressions.
The sum of 8 times a number and 3
Answer:
8x+3
Step-by-step explanation:
Answer:
8x + 3
Step-by-step explanation:
so like imma ask dis one more time
Answer:
1/4+1/32
Step-by-step explanation:
1/4+1/4=1/2
1/32+1/32=1/16
I hope this helps:
plz help meee 2 more problems and I am done
Answer:
Step-by-step explanation:
Figure 1,
EA and EB are the opposite rays.
EC bisects angle FEG.
a). m∠FEC = [tex]\frac{1}{2}(m\angle FEG)[/tex]
(2x + 6) = [tex]\frac{1}{2}(40)[/tex]
2x + 6 = 20
2x = 14
x = 7
b). ED⊥AB
Therefore, m∠AED = 90°
m∠AED = 11y + 13 = 90°
11y = 90 - 13
11y = 77
y = 7
Figure 2,
NC bisects ∠WNB,
Therefore, ∠WNC ≅ ∠CNB
m∠WNC = m∠CNB
3v - 4 = 2v + 6
3v - 2v = 4 + 6
v = 10
Therefore, m∠WNC = x = (3v - 4)
x = 3(10) - 10
= 30 - 10
x = 20
If an object is propelled upward from a height of 48 feet at an initial velocity of 96 feet per second, then its height after t seconds is given by the equation h(t)= -16t2+96t +48, where height is in feet. After how many seconds will the object reach a height of 192 feet?
Answer:
the number of seconds to reach the height is 3 seconds
Step-by-step explanation:
The computation of the seconds that reach the height is as follows;
Given that
h = -16t^2 + 96t + 48
here
H = 192 feet
So,
192 = -16t^2 + 96t + 48
-16t^2 + 96t - 144 = 0
Divide by -16
t^2 - 6t + 9 = 0
t^2 - 3t - 3t + 9
t(t - 3) - 3(t - 3)
t = 3 seconds
Hence, the number of seconds to reach the height is 3 seconds
What is the coefficient in the inequality 3x=10?
Write an inequality for the graph. pls help
What is the slope of a line perpendicular to the line whose equation is 4x – y = 9.
Fully reduce your answer.
Help
ANSWER: -1/4
EXPLANATION:
4x-y=9
y=4x-9
(so slope/gradient of this line is 4 as y= mx+c and the coefficient of x here is 4)
(formula for perpendicular slopes) m1 multiplied by m2 = -1, where m= gradient
So, m1 x 4= -1
m of perp line= -1/4
Plss help this is due tmrr
Answer:
1) 17.80
2) 25.09
Step-by-step explanation:
1) From the diagram,
Opposite = x
Hypotenuse = 22
Angle of elevation = 54°
According to SOH trigonometry identity
sin theta = opposite/hyp
sin 54 = x/22
x = 22sin54
x = 17.798
Hence the value of x is 17.80 to the nearest hundredth
2) Opposite = 11
hypotenuse = x
Angle of depression = 26°
sin 26 = opp/hyp
sin 26 = 11/x
x = 11/sin26
x = 11/0.4384
x = 25.09
Hence the value of x to nearest hundredth is 25.09
pls help I'm so confused X+8 What is the solution of 5x-1 > O? O x5-8 or X> 5 1 0x 5 x8 1 0 -85 0 -8 < X < 7
Step-by-step explanation:
(x + 8) / (5x - 1) > 0
Multiply both sides by (5x - 1)², which is always positive for all real values of x in the domain.
(x ≠ 1/5)
=> (x + 8)(5x - 1) > 0
=> x < -8 or x > 1/5.
The answer is the 2nd option.
Help if you know the answer it due ASAP
Answer: ∠2 and ∠7
Step-by-step explanation:
Alternate exterior angles are a pair of angles on the outer side of each of the parallel lines but on opposite sides of the transversal.
Hope I helped!
a dolphin swam 12 miles in 4 hours. what was its average speed in miles per hour (mph) ?
PLEASE HELPPPP
Answer: The dolphin's average speed is 3 mph
Step-by-step explanation: The basic equation is Speed = Distance ÷ Time
S = d/t
To find miles per hour, divide the distance in miles by the time in hours.
Speed = 12 miles/4 hours . 12÷4 = 3
Speed = 3 mph
(5, -7)
(10, 5)
2
5+
Answer:
Whats the Question
Step-by-step explanation:
This doesn't make sense
C=242 use 22/7 as pie find the radius
Answer: r=38.5
Step-by-step explanation:
Use circumference equation 242=2(22/7)r
Please help me 123 or 4
Answer:
3
Step-by-step explanation:
because divide Pt from both sides to get r=i/(pt)
7.7 is what percent of 8? Round to the nearest tenth.
Answer:
96.25 unrounded 96.3 rounded
Step-by-step explanation:
Answer:96.3
Step-by-step explanation:7.7/8=.9625 then times that by 100 and get 96.25 but round the 2 since the 5 is behind it and telling it to go up so you get 96.3
Gavin is saving up to buy a new phone. He already has $100 and can save an additional $7 per week using money from his after school job. How much total money would Gavin have after 10 weeks of saving? Also, write an expression that represents the amount of money Gavin would have saved in w weeks.
The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w
Mathematical expression:
A mathematical expression is a combination of numbers, symbols, and operators that represents a mathematical relationship or calculation. It is written in a way that follows specific rules of mathematical notation, such as using parentheses to indicate the order of operations.
Here we have
Gavin is saving up to buy a new phone.
He already has $100 and can save an additional $7 per week using money from his after-school job
Let us assume that he worked for 'w' weeks
The amount earned for 'w' weeks = 100 + 7w
Hence, the required expression is 100 + 7w
The total amount saved in 10 weeks = 100 + 7(10) = $ 170
Therefore,
The total money would Gavin have after 10 weeks of savings is $ 170 and the required expression is 100 + 7w
Learn more about Expression at
https://brainly.com/question/21394250
#SPJ1
Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases. So far she has put 2,136 in cases. How many cases can Jane fill with the remaining bottles? How many bottles will be left?
Answer:
6364 cases
6364 bottles are left
Step-by-step explanation:
From the question, we are given the following
Total bottles of water = 8500bottles
Total cases filled = 2136cases
Required
Number of cases Jane can film with the remaining bottle.
Number of cases Jane can fill = 8500-2136
Number of cases Jane can fill with the remaining bottle= 6364 cases
Number of bottles left = number of cases Jane have left to fill.
Hence;
Number of bottles left = 6364 bottles
Multiply (3+b) × (4+2b)
(3+b)*(4+2b)=3*4+3*2b+b*4+b*2b=
=12+6b+4b+2b^2=12+10b+2b^2=2(6+5b+b^2)=
=2(b^2+5b+6)
Really hard question!!!!!!!!!!!!!!!!!!!!!!!!! what is 6+7 plssss
Answer:
13 ig
Step-by-step explanation:
Answer:
its 13. 6 7 8 9 10 11 12 13. ............
FIND THE VALUE OF X.
GIVEN ABCDEF~JKLMNP.
763 ÷ 6=
use any method to solve
Answer:
127.1666
Step-by-step explanation:
It is a recurring decimal
The figure shows a truss used in the construction of a building. The measure of ∠1 is 39°. Find the measure of ∠2.
Answer:
39
Step-by-step explanation:
Since the first measure is 39 that means the second is 39 because its the same.
Shawn is playing a game with a set of cards. Half of them are blue and the other half are yellow. In the game, the player guesses the color of the top card, looks at the card, and returns the card to the deck. The player continues to do this, shuffling the deck after each guess.
Shawn has guessed the first three attempts as "blue” and has been correct on each guess. He says he will guess "yellow” for the next card since a yellow card is due to happen. Is Shawn’s reasoning correct?
Yes, Shawn has guessed well so far, so it is clear that he cannot miss.
No, all of the cards have been blue so far, so the next one must also be blue.
Yes, half of the cards are yellow, so the fourth card should be yellow to compensate for the first three cards being blue.
No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.
Answer:
No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
edge 2020
c. As the price of the bananas decreased by 15%, 3 more bananas were bought for 100 dollars. What is the price of bananas per dozen at present
Answer:
which question is this referred to?
write an equation in slope-intercept form for this line.
Answer:
y = - 8x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 8, then
y = - 8x + c ← is the partial equation
To find c substitute (- 1, 4 ) into the partial equation
4 = 8 + c ⇒ c = 4 - 8 = - 4
y = - 8x - 4 ← equation of line
Please help 50 points if you can answer correctly
Answer:
A. -14. R.72. C.1. D.34
Step-by-step explanation:
I think that right
1,100÷22. I know the answer but I am kinda struggling on how that is possible I checked it on paper but I got the wrong answer every time so could you please explain it to me.
Answer:
50 is the answer to this question
Answer:
50
Step-by-step explanation:
Well, you're having trouble with how it's supposed to be 50 right? So I suggest breaking it down a little bit.
As you see:
1100 ÷ 22
1100 and 22 are both divisible by 2 so if we divide both numbers by 2 you get:
550 ÷ 11
now try solving from there!!
If you still don't get it here:
firstly 11 goes into 5 zero times so put nothing
next does 11 go into 55? Yes! it does so how many times does it go into 55?
well let's see: 11 + 11 + 11 + 11 + 11 = 55
now if we count how many 11s there are there is 5! so then you put:
5_
now lets see the next number is 0 and does 11 go into 0? Nope! so we just put:
50 and that is your answer!!
Which of the following values of x makes this equation true? (-4x – 3) - (7x - 3) = 22
Answer:
Step-by-step explanation:
Here you go mate
Step 1
(-4x-3)-(7x-3) =22 Equation
Step 2
(-4x-3)-(7x-3) =22 Simplify
-11x=22
Step 3
-11x=22 Divide
Answer
x=-2
Now we have to,
→ find the required value of x.
Then the value of x is,
→ (-4x - 3) - (7x - 3) = 22
→ -4x - 3 - 7x + 3 = 22
→ -11x + 0 = 22
→ x = -22/11
→ [ x = -2 ]
Thus, the value of x is -2.
The principal would like to assemble a committee of 8 students from the 20-member student council. How many different committees can be chosen?
Answer:
2
Step-by-step explanation:
If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means
there can only be 2.5 different committees because you can't subtract 3 from 8
Answer:
125790 different committees can be chosen.
Step-by-step explanation:
The principal would like to assemble a committee of 8 students from the 20-member student council.
We need to find How many different committees can be chosen?
Since the order is not important, so we use Combinations to solve the question.
The formula used is: [tex]^nC_r=\frac{n!}{(n-r)!r!} \\[/tex]
In the question given: we have n = 20 and r = 8
Putting values and finding the number of ways committees can be chosen:
[tex]^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970[/tex]
So, 125790 different committees can be chosen.