[tex]\\ \rm\longmapsto 2^{4x+4}=64^{x+2}[/tex]
[tex]\\ \rm\longmapsto 2^{4x+4}=(2^6)^{x+2}[/tex]
[tex]\\ \rm\longmapsto 2^{4x+4}=2^{6(x+2)}[/tex]
[tex]\\ \rm\longmapsto 4x+4=6(x+2)[/tex]
[tex]\\ \rm\longmapsto 4x+4=6x+12[/tex]
[tex]\\ \rm\longmapsto 4-12=6x-4x[/tex]
[tex]\\ \rm\longmapsto -8=2x[/tex]
[tex]\\ \rm\longmapsto x=\dfrac{-8}{2}[/tex]
[tex]\\ \rm\longmapsto x=-4[/tex]
Answer:
x = 1
Step-by-step explanation:
[tex] {2}^{4x + 14} = {64}^{x + 2} [/tex]
➡️ [tex] {2}^{4x + 14} = ( {2}^{6} {)}^{x + 2} [/tex]
➡️ [tex] {2}^{4x + 14} = {2}^{6x + 12} [/tex]
➡️ [tex]4x + 14 = 6x + 12[/tex]
➡️ [tex]14 - 12 = 6x - 4x[/tex]
➡️ [tex]2x = 2[/tex]
➡️ [tex]x = 1[/tex]
205 students enrolled in a freshman-level chemistry class. By the end of the semester, 4 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.
Answer: 164 students passed and 41 students failed.
Step-by-step explanation:
Let the number of students be x
x students failed, but 4 times the failed students passed.
So 4x students passed and x students failed.
4x + x = 205
5x = 205
x = 205/5
x = 41
41 times 4 is 164 and 41 times 1 is 41.
So 164 students passed and 41 students failed
Determine the largest positive integer N such that 1005! is divisible by 10N.
9514 1404 393
Answer:
N = 250
Step-by-step explanation:
The way your question is written, the answer is a number of 2582 digits, much too large to show here. We assume you actually want N such that 10^N is the largest power of 10 that will divide 1005!.
__
That factor is limited by the number of factors of 2 and 5 in 1005!. Of those, there are far more factors of 2, so the actual limit is the number of factors of 5 in 1005!.
Every 5th number is divisible by 5, so there are 1005/5 = 201 numbers divisible by 5 in 1005!.
Every 5th one of those is divisible by another factor of 5, so an additional 201/5 ≈ 40.
Every 5th one of those is divisible by another factor of 5, so an additional 40/5 = 8.
Finally, every 5th one of those has yet another factor of 5, so an additional 8/5 ≈ 1.
Then the total number of factors of 5 in 1005! is 201 +40 +8 + 1 = 250.
That is, the number 1005! will end in 250 zeros. It will be divisible by 10^250.
N = 250
PLS HELPPPP!! Im begging u plss
Answer:
angle y=59 degrees
angle a= 62 degrees
Step-by-step explanation:
angle t =59
angle t=angle y(given)
therefore;
angle y=59 degrees
angle a +angle t +angle y=180(sum of the interior angles of a triangle)
a +59 +59 =180
a+118 =180
a =180-118
a = 62 degrees
How many hours will a car use to travel at speed of 10km per hour if the distance is 2 miles
In which situation would it make the most sense to use a sample? 1)to find the number of members Of the lions club that are over 50 years old. 2) to find the percent of all voters that are over 50 years old.
3) to find the median age of members of a bowling league. 4) To find the mean age of 25 people in a yoga class.
Answer:
999
Step-by-step explanation:
hhhh7
A 90% confidence interval for a proportion is found to be (0.52, 0.58) . What is the sample proportion?
Explanation:
For the confidence interval (a,b), the midpoint is c = (a+b)/2
This midpoint is the sample proportion. This is because the confidence interval is built around this center point.
The midpoint of the interval (0.52, 0.58) is (0.52+0.58)/2 = 0.55
express 3x-x^2 as m-(x-n)^2. Ill give brainliest to correct answer!
Answer:
(i) 2x+3y=9.3
5
ˉ
⇒2x+3y−9.3
5
ˉ
Comparing the equation with ax+by+c=0
a=2,b=3,c=−9.3
5
ˉ
Answer:
[tex]\frac{9}{4}[/tex] - (x - [tex]\frac{3}{2}[/tex] )²
Step-by-step explanation:
Given
3x - x² ← factor out - 1 from each term
= - (x² - 3x)
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² - 3x
= - (x² + 2(- [tex]\frac{3}{2}[/tex])x + [tex]\frac{9}{4}[/tex] - [tex]\frac{9}{4}[/tex] )
= - (x - [tex]\frac{3}{2}[/tex] )² - 1(- [tex]\frac{9}{4}[/tex] )
= [tex]\frac{9}{4}[/tex] - (x - [tex]\frac{3}{2}[/tex] )²
11. There are 600 students in a school. If 20% students are girls, find the number of girls.
Answer:
120
Step-by-step explanation:
20% of 600
= 120 girls
Explanation
Total no. of students = 600%
20% of the total are girls
No. of girls = 20% of 600
20/100 × 600⅕ × 600 120No. of girls is 120
What is 5 - 3/4
Please help
Answer:
[tex] \frac{17}{4} = 4 \frac{1}{4} [/tex]
Step-by-step explanation:
[tex]5 - \frac{3}{4} [/tex]
[tex] \frac{5}{1} - \frac{3}{4} = \frac{5 \times 4}{1 \times 4} = \frac{3}{4} [/tex]
[tex] \frac{20}{4} - \frac{3}{4} = \frac{20 - 3}{4} [/tex]
[tex] = \frac{17}{4} = 4 \frac{1}{4} [/tex]
Answer:
17/4-4 1/4 or 4.25
Step-by-step explanation:
Solve the given equation, enter your answer as "x= " and then your answer.
Example: x = 5
6=210
Answer:
×=204
Step-by-step explanation:
6=210
210-6
x=204
A square has a a side lenght of 5 feet what is its area?
Answer:
25 sq feet
Step-by-step explanation:
Length = 5 feet
Area = (Length)²
= 5²
= 25 sq feet
Going into the final exam, which will count as two tests, has test scores of 77 , 82, 72 , 63 and 92 What score does need on the final in order to have an average score of 80?
Answer:
you either need to score a perfect on one exam and get a 80 on the second or get two 90s on both exams.
Step-by-step explanation:
simplify. (3st)^2
a.6s^2t*2
b. 9s^2t^2
c. 3st^2
d. 2s^2t^2
Answer:
b. 9s^2 t^2
Step-by-step explanation:
If (x*y) ^ 2 = multiple of x and y then power 2
(x * y) ^2 is equal to (x^2 * y^2)
That makes 9s^2t^2
Answer:
Option B. 9s^2t^2 is the correct answer.
Step-by-step explanation:
I just completed it.
Tyler rolled a six-sided number cube, recorded the results, and then rolled again. What is the probability that the first roll was an odd number and the second roll was a number less than 3
Answer:
9
Step-by-step explanation:
Multiply 546.1 × 0.52 = ____
In the evening the temperature was
55°F, overnight it dropped 13°F, and in
the morning it rose 22°F to this
temperature.
Show the work please and thank you
Answer:
The current temperature would be 64°F
Step-by-step explanation:
first
55°F-13°F = 42°F
Now,
42°F + 22°F
= 64°F
Round 123,949 to the underlined point. 4 is highlighted
[tex]\\ \sf\longmapsto 123,949[/tex]
9 is greater than 5[tex]\\ \sf\longmapsto 123,95[/tex]
5=5[tex]\\ \sf\longmapsto 123,9[/tex]
9 is greater than 5[tex]\\ \sf\longmapsto 124[/tex]
4 is less than 5[tex]\\ \sf\longmapsto 12[/tex]
2 is less than 5[tex]\\ \sf\longmapsto 1[/tex]
Note
Write the number until underlined point.I did it till end
Answer:
The number is 123949 (or 123.949 in case comma stands for decimal)
According the rounding rule
if the number to the right is ≥ 5, round up the number to the left, otherwise leave as is, if decimal the number to the right drops, if whole number it is replaced with zeroRound to the number 4, the second number from the right:
123950or
123.95(28)^3 + (-15)^3 +(-13)^3 calculate using identities
give free fire also
Answer:
answer is 16380
Step-by-step explanation:
answer is 16380
Answer:
16380Step-by-step explanation:
We can see that:
28 + (-15) + (-13) = 0Use the following identity:
a³ + b³ + c³ = 3abc, if a + b + c = 0Substitute the values to get:
28³ + (-15)³ + (-13)³ = 3*28*(-15)(-13) = 16380Please help due tomorrow
The scaled factor is 3 for all of them.
Please help me please hurry
Answer:
A = $10.50
B = $17.50
C = $24.50
Step-by-step explanation:
1. Corey wrote the number 47,378. How many times greater is the 7 in the thousands place, than the 7 in the tens place?
Answer:
100 times larger.
Step-by-step explanation:
The 7 in the thousands place can be written as 7000
The 7 in the tens place can be written as 70
Times greater = 7000 / 70 = 100
So the answer is 100 times larger for the 7 in the thousands place to the 7 in the 10s place.
Phillip went to a music store that was going
A waiter receives tips from each customer. On average, the tip is 15% of the customer’s bill. At this rate, which of the following is closest to the tip the waiter can expect when a customer has a bill that is $78.20?
A) $8.00
B) $10.00
C) $12.00
D) $14.00
(Pls add in the step-by-step explanation)
Answer:
C) $12.00
Step-by-step explanation:
Take the price of the bill
78.20
Find 10 %
78.20 * .1
7.82
Take half ( which is 5%)
3.91
Add the two amounts together
7.82+3.91
11.73
Rounding to the nearest dollar
12.00
OR
Round the bill to 80.00
Take 15%
80 * .15
12.00
Let ABC be an isosceles triangle at A. Take point D on side AC, point E on side AB such that AD = AE a) Compare the angles ABD and ACE b) Let I be the intersection of BD and CE. What kind of triangle is ΔIBC? Why ?
9514 1404 393
Answer:
a) they are congruent
b) isosceles; ∠IBC≅∠ICB
Step-by-step explanation:
a) We are given that ΔABC is isosceles, such that AB≅AC. Points D and E are located so that AD≅AE. Of course, ∠A≅∠A, so ΔACE ≅ ΔABD by SAS. Then angles ABD and ACE are congruent by CPCTC.
__
b) Angle IBC is the difference between angle ABC and angle ABD. Angle ICB is the difference between angle ACB and angle ACE. These differences are between values that are the same, so the differences are the same. That means ∠IBC≅∠ICB, and ΔIBC is isosceles.
II. Round to the nearest hundred.
11. 582
12. 1,234
13. 640
14. 770
15. 1,104
Answer:
11. 600
12. 1,200
13. 600
14. 800
15. 1,100
Step-by-step explanation:
look at the number in the 'tens' column. if the number is between 1-4, you round down, if the number is between 5-9, you round up.
Help please help please give me explanation.NO LINKS OR I Will Report You
3. Find (1 3)(x) when f (x) =
Vx+3
Vx+3 (1 point)
and
g(x)=
2x
x2 +6x+9
of g)(x) =
2x2
√x+3
(g)(x) =
2x2
OF 3)(x)
?? +9
of g)(x) =
x+3
2x²
22
Answer:
The choose 3.
[tex] \frac{x + 3}{2 {x}^{2} } [/tex]
A bag of kibble and 4 cans of cat food cost $8.40. The kibble
costs $6. Use the equation 4x+6= 8.40 to find x, the cost of
one can of cat food.
A $0.65
B $0.60
C $0.30
D$0.70
Answer:
B: $0.60
Step-by-step explanation:
4x+6=8.40
4x=2.40
2.40 / 4 = .6
.6 = 0.60 or 60 cents
Answer:$0.60
Step-by-step explanation:
A bag a kibble is 6$
Subtract the cost for the kibble to the cost of all products.
$8.40
- $6.00
$2.40... is the cost for all 4 cans of cat food.
Then divide $2.40 by 4... That will be B) $0.60
Whoever answers this get 50 point I need it ASAP tho
Step-by-step explanation:
For the parabola( top question)
X intercepts are (2,0) (4,0)Y intercepts are (0,4)Intervals of Increasing are [3, ♾)Intervals of decreasing are (- ♾, 3]The domain is All Real Numbers or (-♾, ♾)The range is [1, ♾)There is no maximum value of this function The minimum value is -1The axis of symmetry is x=3f(6)=4For the absolute value equation, bottom question
X intercepts is (2,0)Y intercepts are (0,3)The Intervals of Increasing are [2,infinity)The Intervals of decreasing are ( negative infinity,2]The domain is All Real Numbers or (negative ♾, positive ♾)Range is [0, positive ♾)There is no maximum value of the functionThe minimum value is 0f(-1)=4.5Answer:
Step-by-step explanation:
For the parabola( top question)X intercepts are (2,0) (4,0)Y intercepts are (0,4)Intervals of Increasing are [3, ♾)Intervals of decreasing are (- ♾, 3]The domain is All Real Numbers or (-♾, ♾)The range is [1, ♾)There is no maximum value of this function The minimum value is -1The axis of symmetry is x=3f(6)=4For the absolute value equation, bottom questionX intercepts is (2,0)Y intercepts are (0,3)The Intervals of Increasing are [2,infinity)The Intervals of decreasing are ( negative infinity,2]The domain is All Real Numbers or (negative ♾, positive ♾)Range is [0, positive ♾)There is no maximum value of the functionThe minimum value is 0f(-1)=4.5
Subtract: 7 7/10 -3 4/5 =
Answer:
3 9/10
Step-by-step explanation:
in first step convert mix fraction into simple fraction then take LCM and then subtract it.