Solve for X: 2^3x + 1 = 2^10
please look at photo and give detailed steps!! thank you
Step-by-step explanation:
since the bases are the same all you have to do is just get the powers of both bases which is 3x + 1 and 10
you're then going to equate 3 x + 1 to 10 and then you have to make +1 cross to the other side making it become -1
you then can subtract 1 from 10 leaving you with 9
and at the LHS we have 3x
we are gonna get rid of the three by dividing it into itself and the 9 at the RHS then X = 3
Jonathan drinks four and three sixths cups of water in the morning and three and two sixths in the evening. How much did Jonathan drink in all?
Answer:
2 cups
Step-by-step explanation:
3 + 3 = 6 (one cup)
4 + 2 = 6 (two cups)
I have picture of it
Answer:
basically multiply the prices by how much they filled up. That should give the answer.
Step-by-step explanation:
Wastewater is filling barrels at the rate of 11 quarts per hour. The recycling facility picks up 120 full barrels on each trip, and each barrel holds 12 quarts of wastewater. How many days are between each pickup?
Answer:
There are 6 days between each pick up days.
Step-by-step explanation:
a meayerologist at television station reported that a town received 0.90 inches of rain. Which fraction is equivalent to this amount of rain in inches?
Answer:
9/10
Step-by-step explanation:
0.9 = 90/100 9/10
0.90 is the same as 90/100
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
need help please answer
What is the slope of a line with the equation y-2=-3/4(x+5)?
Answer:
Gradient: m = -3/4
Step-by-step explanation:
Please view the PDF attached for full step by step explanation
Find the equivalent fraction of 2/3 having denominator 6 and 6 and numerator 10.
Step-by-step explanation:
having denominator 6,
X/6= 2/3
X= 4
so, 4/6= 2/3
having numerator 10,
10/X= 2/3
X= 15
so, 10/15= 2/3
write -9.38 as a mixed number
Answer:
-9/38/100=-9/19/50
hope it helps!!!!!
What is 2 2/15 - 1 2/3=
I ended up with 2 3/21
Really need help with this!
Answer:
[tex]2 \frac{2}{15} - 1 \frac{2}{3}[/tex]
[tex] = \frac{32}{15} - \frac{5}{3} [/tex]
[tex] = \frac{32 \times 1 - 5 \times 5}{15} [/tex]
[tex] = \frac{32 - 25}{15} [/tex]
[tex] = \frac{7}{15} [/tex]
Find the measure of one interior angle of a regular 16-gon.
Answer:
157.5
Step-by-step explanation:
14×180/16
= 315/2
= 157.5
Answer:
Step-by-step explanation:
16 sides
n-2=14
14x 180 = 2250
2250/16 =157.5 = 158
Draw a line segment of length 6.4 cm and divide it in to 4 equal parts. Write the length of each part. (Draw clearly)
Answer:
The line drawn has a length of 6.4 cm.
Also it is divided into 4 equal parts.
Hence let the measure of the each equal part be ' x '
So x * 4 parts = 6.4 cm
=> x = 6.4 cm / 4
=> x = 1.6 cm
Hence the measure of each equal part is 1.6 cm.
Hence solved !
Step-by-step explanation:
If other factors are held constant, how does sample size influence the likelihood of rejecting the null hypothesis and measures of effect size such as r^2 and Cohen's d?A) A larger sample increases both the likelihood and measures of effect size.B) A larger sample increases the likelihood but has little influence on measures of effect size.C) A larger sample decreases the likelihood but has little influence on measures of effect size.D) A larger sample decreases both the likelihood and measures of effect size.
Answer:
2000
Step-by-step explanation:
4. Write the equation of the line that
passes through (9,4) (0-5)
Answer:
Equation of line is y = x - 5
Step-by-step explanation:
general equation of a line:
[tex]y = mx + c[/tex]
m » slope
c » y-intercept
for the slope, m :
[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1} } [/tex]
substitute in accordance of the points:
[tex]slope = \frac{ - 5 - 4}{0 - 9} = \frac{ - 9}{ - 9} \\ \\ m= 1[/tex]
for y-intercept :
[ consider point (0, -5) ]
[tex]y = mx + c \\ - 5 = (0 \times 1) + c \\ c = - 5[/tex]
Therefore, equation of line is
[tex]{ \boxed{y = x - 5}}[/tex]
x/5=13
how do you solve for x
Answer:
X=65
Step-by-step explanation:
X/5=13
X=13×5
=65
hope it helps!!!
Find the total amount paid on a loan when the monthly payment is $189 and the loan is paid off in 48 months. Use the formula A = MN, where A is the total amount paid, M is the monthly payment, and N is the number of payments.
Answer:
Step-by-step explanation:
M=189
N = 48
A = M*N
A = 189 * 48
A = 9072
A wire 24 inches long is to be cut into four pieces to form a rectangle with one side of length x. Write the area A of the rectangle as a function of x.
Answer:
If the function is the Area, then Area = length*width = x*(12-x) = 12x - x^2Domain is x>0, since you can't have a rectangle with negative length.
0 < x<6, If x is 7 then width would be 5, but x must be shorter
Step-by-step explanation:
Slope-Intercept Form
Directions: Re-write the equation of
the line in slope-intercept form.
Slope must be in simplest/fraction
form. Do NOT put any spaces in
your answer.
Standard Form
2x+y=8
3x-y=7
5x+2y=8
4x+3y=9
X-y=0
x+4y=16
4x-3y=6
x+2y=-10
x+y=3
3x-2y=9
(Please vote me Brainliest if this helps!):
y = -2x + 8y = 3x - 7y = [tex]-\frac{5}{2}x[/tex] + 4y = [tex]-\frac{4}{3}x[/tex] + 3y = x + 0y = [tex]-\frac{1}{4}x[/tex] + 4y = [tex]\frac{4}{3}x[/tex] - 2y = [tex]-\frac{1}{2}x[/tex] - 5y = -x + 3y = [tex]\frac{3}{2}x - \frac{9}{2}[/tex]
14.127 divided by 5.1 show work please
The quotient of 14.127 divided by 5.1 is 2.77
14.127 ÷ 5.1
To make the calculation easier without the use of a calculator :
Multiply both sides such that bith the dividend and divisor are integer values :
Multiply both by 1000
14.127 × 1000 = 14127
14127 51 × 1000 = 5100
Hence,
14127 ÷ 5100 = 14127 / 5100 = 2.77
Hence, 14.127 ÷ 5.1 = 2.77
Learn more : https://brainly.com/question/21416852
A property sells for $140,000 two years after it was purchased. If the annual appreciation rate is 6%, how much did the original buyer pay for it?
Answer:
$123,200
Step-by-step explanation:
0.06 x 2 = 0.12
140,000 x 0.12 = 16,800
140,000 - 16,800 = 123,200
The original buyer paid the amount of $123,200 for the property.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The property appreciated by 6% per year, so in two years it would have appreciated by 6% × 2 years = 12%.
Once we know the total appreciation, we can subtract that value from 100% to find the original purchase price as a percentage of the final sale price.
If the property appreciated by 12%, then the original purchase price must have been 100% - 12% = 88% of the final sale price.
Now, multiply the final sale price by the original purchase price as a percentage to find the original purchase price.
So, the original buyer paid the amount = 88% × $140,000 = $123,200
Therefore, the original purchase price was $123,200.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
PLssssssss helppppppppppppppppppppppp
Answer:
6 ft
Step-by-step explanation:
2
Stuart uses 3 of a cup of sugar for a recipe. How many cups of sugar are needed for 7 recipes?
Express the amount as a mixed number.
cups
Blank 1:
Blank 2:
Answer:
Blank1=4 blank2=2\3
Step-by-step explanation:
2\3 for 1 recipe
For 7 recipe = 7 x 2\3
= 14\2 x 2\3 -> take out the 2
14\3 = 14 divided by 3 is 4 with remainder of 2
So, 4 2\3
Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart after 30 minutes?
Answer:
they travel 115 km/h long
616÷2=308. I got 38 instead of 308 when solved with long division
Answer:
U forgot to add zero while dividing
1. Write the following numbers in the expanded form:
(i) 20.03
(ii) 200.03
(iii) 2.034
Answer:
(I). 20.03:
[tex] = 2.003 \times {10}^{1} [/tex]
(ii). 200.03
[tex] = 2.0003 \times {10}^{2} [/tex]
(iii). 2.034
[tex] = 2.034 \times {10}^{0} [/tex]
1. If x = y and x + 2y = 6 then find value of 'y'.
T
Step-by-step explanation:
x=y
x+2y=6
y+2y=6
3y=6
y=2
Step-by-step explanation:
x=y
x+2y=6
y+2y=6
3y=6
y=2
«
Use complete sentences to describe how simplifying expressions with multiple logarithms makes evaluating
expressions less complicated.
Step-by-step explanation:
bracket first in simplify
For what value(s) of x is f(x)=3?
Answer:
D
Step-by-step explanation:
Remember that for this kind of question, when f(x) is given as 3, then 3 is the y value of the point. So you must have a point whose value is (x,3)
There is only one point that does that. x = - 2
The answer is D
A falcon flies 300 kilometers per hour. A goose flies 140 kilometers per hour. If a falcon and a goose each fly for 2 hours, how many more kilometers will a falcon fly?
Answer:
320
Step-by-step explanation:
Distance covered by falcon in 2 hours=300*2=600 km
Distance covered by goose in 2 hours=140*2=280 km.
Falcon flew 600-280=320 km more than goose
if 6 pipes fill a tank in 120 minutes, then 5 pipes can fill it in how many minutes
Answer:
It'll take 144 minutes for 5 pipes.
Step-by-step explanation:
[tex]{ \sf{6 \: pipes = 120 \: mins}} \\ { \sf{5 \: pipes = ( \frac{6}{5} \times 120) \: mins}} \\ \\ = { \sf{144 \: mins}}[/tex]
but practically, it seems to be abnormal. if 6 pipes take 120 mins, 5 pipes must takes a time greater than 120 mins cause amount of water flowing to the tank is decreasing.
But there is a possibility that pressure of water was increased for the case of five pipes, that's why it takes a time less than 120 mins. (t < 120)
Answer:
144 minutes
Step-by-step explanation:
here we use inverse proportion because the more pipes there are the less time is needed
the formula for inverse proportion is y = k/x
first we need to find k which is the constant
if y is the number of minutes and x is the number of pipes we can substitute these into the formula like so: 120 = k/6
to find k rearrange the formula to get k = 6 * 120 = 720
now that we have k we can substitute 720 (k) and 5 (x) into y = k/x
y = 720 / 5
y = 144
(y is the number of minutes in this case so the answer is 144 minutes)