Answer:
So x=2.32956156226
Step-by-step explanation:
First subtract 1 on both sides
2^3x=127
Now you can rewrite this as
(2^3)^x
As it still equals the same thing
Now 2^3 is 8
So the equation is now
8^x=127
So we use log formula
log8 127=x
So how many times do we have to multiply 8 by itself to get 127?
The answer is: 2.32956156226
Hope this helps!
Sin2A+Sin2B÷Sin2A-Sin2B=Tan(A+B)÷Tan(A-B) Prove that
Take L.H.S sin2A+sin2B/sin2A-sin2B
= sin2A+sin2B/sin2A-sin2B
Put
[sinC+sinD = 2sin(C+D)/2cos(C-D)/2]
[sinC-sinD = 2cos(C+D)/2.sin(C-D)/2]
= 2 sin(2A+2B)/2 cos(2A-2B)/2 / 2 cos(2A+2B) sin(2A-2B)
= sin(A+B).cos(A-B)/cos(A+B).sin(A-B)
= sin(A+B)/cos(A+B) . cos(A-B)/sin(A-B)
= tan(A+B).cot(A-B)
= tan(A+B).1/tan(A-B)
= tan(A+B)/tan(A-B)
∴ Hence we proved sin2A+sin2B/sin2A-sin2B=tan(A+B)/tan(A-B)
Of 92 adults selected randomly from one town, 61 have health insurance. Find a 90% confidence interval for the true proportion of all adults in the town who have health insurance. Group of answer choices 0.582 < p < 0.744 0.548 < p < 0.778 0.536 < p < 0.790 0.566 < p < 0.760
A 90% confidence interval for the true proportion of all adults in the town who have health insurance is 0.582 < p < 0.744
The formula for calculating the confidence interval is expressed as;
[tex]CI=p \pm z \cdot\sqrt{\frac{P(1-p)}{n} }[/tex]
p is the proportion = 61/92 = 0.66n is the sample size = 92z is the z-score at 90% = 1.645Substitute the given parameters into the formula to have:
[tex]CI=0.66 \pm 1.645 \cdot\sqrt{\frac{0.66(1-0.66)}{92} }\\CI=0.66 \pm 1.645 \cdot\sqrt{\frac{0.66(0.34)}{92} }\\CI =0.66\pm 1.645(0.0495)\\CI=0.66 \pm 0.0814\\CI = (0.582, 0.744)[/tex]
Hence a 90% confidence interval for the true proportion of all adults in the town who have health insurance is 0.582 < p < 0.744
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Part B: If Andrew drives 6 more hours at the same rate, what is the total number of miles traveled for the trip?
A tree casts a shadow of 69.53 feet. A 5 feet pole casts a shadow of 8.97 feet. Find
the height of the tree.
Answer:
The height of the tree is 38.76.
Step-by-step explanation:
[tex]\frac{x}{69.53} =\frac{5}{8.97}[/tex]
x= [tex]\frac{69.53x5}{8.97}[/tex]
69.53x5= 347.65
347.65 8.97= 38.75696767
round the number (38.76)
Hope this helps
sorry if its wrong
3 bags of dog food cost $6.75 How much would they spend on 2 bags of dog food?
Answer:
$4.50 for 2 bags of dog food
Step-by-step explanation:
To find the cost of 2 bags of dog food, we first need to divide $6.75, the cost of 3 bags, by 3, to find the cost of one.
$6.75 / 3 = $2.25
Now that we know the cost of one bag, we can multiply the cost by two to find the cost of 2 bags.
$2.25 * 2 = $4.50
$4.50 for 2 bags of dog food
did I click the right one ?
Answer:
no its b
Step-by-step explanation:
Answer:
yup
Step-by-step explanation:
In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life. Using the vase for a scale factor, how tall was the table? PLEASE ACTUALLY ANSWER AND DON'T JUST PUT I DON'T KNOW OKAY?
Answer:
5.67
Step-by-step explanation:
The scale factor of the height of the image is 7.89.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. The scale factor is the ratio of the actual size to the scaled size of the object.
Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
Given that In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life.
The scale factor will be calculated as,
Scale factor = ( 30 / 3.8)
Scale factor = 7.89
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A taxi is travelling in a circlar path of radius 700 m at the rate of 11 km per hour . Find the angle through which it turns in one minute in grade.
Answer:
Approximately [tex]\text{$0.26$ radian}[/tex] every minute.
Step-by-step explanation:
Convert the unit of velocity (kilometers-per-hour) to meters-per-minute so as to match the unit of radius (meters) and angular velocity (per-minute.)
[tex]\begin{aligned}v &= 11\; \rm km \cdot h^{-1} \\ &= 11 \times \frac{1000\; \rm m}{1\; \rm km} \times \frac{1\; \rm h}{60\; \text{minute}} \\ &\approx 183.33\; {\rm m} \cdot\text{minute}^{-1}\end{aligned}[/tex].
Calculate the circumference of this circle:
[tex]\begin{aligned}c &= 2\,\pi\, r \\ &= 2 \, \pi \times 700\; \rm m \\ &\approx 4398.2\; \rm m\end{aligned}[/tex].
Find the time required (in minutes) for this vehicle to go around this circle:
[tex]\begin{aligned}\frac{4398.2\; \rm m}{183.33\; {\rm m} \cdot \text{minute}^{-1}} \approx 23.990\; \text{minute}\end{aligned}[/tex].
A full circle corresponds to an angle of [tex]2\, \pi \; \text{radian}[/tex] ([tex]360^{\circ}[/tex].) In other words, this vehicle would have turned [tex]2\, \pi \; \text{radian}\![/tex] in approximately [tex]23.990\; \text{minute}[/tex] if it travels at a constant speed. The rate at which this vehicle turn would be:
[tex]\begin{aligned}\frac{2\, \pi}{23.990\; \text{minute}} \approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].
In general, for angular velocity [tex]\omega[/tex], radius [tex]r[/tex], and velocity [tex]v[/tex], [tex]v = \omega\, r[/tex]. After updating the units, the angular velocity of this vehicle (the rate at which it turns) may also be found as:
[tex]\begin{aligned}\omega &= \frac{v}{r} \\ &\approx \frac{183.33\; \rm m \cdot \text{minute}^{-1}}{700\; \rm m} \\ &\approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].
How many 1/4 inch cubes does it take to fill a box with width 1 inches, length 3 3/4 inches and height 1 1/2inches?
Step-by-step explanation:
we need to see how many cubes fit into every dimension.
we can fit 4 cubes along the 1 in width. as 4×1/4 = 1 in.
we can fit 15 cubes along the 3 3/4 in length :
3 3/4 = 12/4 + 3/4 = 15/4
15/4 / 1/4 = 15/4 × 4/1 = 4×15 / 4×1 = 15
we can put 6 cubes on top of each other fit the height of 1 1/2 in
1 1/2 = 2/2 + 1/2 = 3/2 = 6/4
6/4 / 1/4 = ... = 6 (as above - simply 1/4 fits 6 times into 6/4).
so, we have
4 × 15 × 6 = 360
we need 360 cubes to fill the box.
Find the product of ( - 6 + 3i) and its conjugate.
product =
Submit Question
Answer:
45Step-by-step explanation:
The conjugate of the given is:
( - 6 - 3i)Find their product:
(- 6 + 3i)( - 6 - 3i) = (-6)² - (3i)² = 36 - 9i² = 36 - 9(- 1) = 36 + 9 = 452 1/12 divided 2 5/8 fractions
Answer: 50/63 or 0.793650
Step-by-step explanation:
Perimeter of piecewise rectangular figure. Please help.
Check the picture below.
so the perimeter is 6+16+14+7+8+9 = 60.
1
If f(x) = -3x-2, find f(-7)
Answer:
19
Step-by-step explanation:
f(x)= -3x-2
f(-7)= -3(-7)-2
= 21 - 2
= 19
hope this helps! :D
(1-w-w²)⁶=64 prove thta
1−w−w2=64
Step 1: Simplify both sides of the equation.
−w2−w+1=64
Step 2: Subtract 64 from both sides.
−w2−w+1−64=64−64
−w2−w−63=0
For this equation: a=-1, b=-1, c=-63
−1w2+−1w+−63=0
Step 3: Use quadratic formula with a=-1, b=-1, c=-63.
w= −b±√b2−4ac /2a
w= −(−1)±√(−1)2−4(−1)(−63) /2(−1)
w= 1±√−251/ −2
Help me please Asap!
Answer:
1/10
Step-by-step explanation:
The permutation only occurs once during the 10 trials hence 1/10
Which expression is equivalent to 3(2t + 6) – 4t?
A. 8t
B. 20t
C. 2t +6
D. 2t +18
HELP PLS
Answer:
b part 20 t or i think c part 2t +6
Emily is entering a bicycle race for charity. Her mother pledges $0.20 for every 0.75 miles she bikes. If Emily bikes 24 miles, how much will her mother donate?
Answer:
4 dollars and 80 cents
Step-by-step explanation:
24 times 20 is 480 but its money so u would say $4.80.
Okie help help math math math math
Answer: 33
Step-by-step explanation: In the problem, you are given the figure with the following:
2x+3 and 3x+12
Method: Lets set this into an equation. Remember that straight lines add up to 180°.
2x+3+3x+12=180° Combine like terms.
5x+15=180°
5x=165°
x=33°
You can always plug in 33° in the expression that was set to make sure it does give you 180°.
Hope this helps.
Answer:
33
Step-by-step explanation:
1,256 balls divided by 13 games. About how many balls should each game get? Estimate answers are:
A. About 80
B. About 100
Those are the choices. 80 is not enough and 100 is too many. 90 or 96R8 not there. Ugh.
heleppppppppppppp
plssssssssssssssss
Answer:
21
Step-by-step explanation:
Answer:
(3,3)
Step-by-step explanation:
Point B is the only point that inside the rectangle alone. Point A is not found in any shape and points C and D are inside the oval. coordinates are labeled (x,y). The coordinates of point B are (3,3)
I understand if this a little difficult to understand and i sincerely apologize for that..
explain how you your answer
Answer:
1.43 = x
Step-by-step explanation:
Math in the picture attached. Hope it helps!
A sports analyst determines that the number of points
scored in a basketball game is related to the number of
shots taken during the game. The least-squares
regression line is ý = 5.0 + 1.2x where y is the
predicted number of points scored and x is the number
of shots taken
In one game, a team takes 50 shots and scores 75
points. What is the residual for this team during this
game?
D-33
4 5
10
65
Answer:
its 10 :)
Step-by-step explanation:
Number of points scored in a basketball game is related to the number number of shots taken during the game as below:
According to questionX=number of shots taken
Y=number of points scored
Given,
X=50
Y=75
As relation given,
Y=5.0+1.2×X
When x is 50 Y= 5+1.2×50=65
∴The residual score for his team during the game is= 75-65
⇒10
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Which of the following points lies on the line 2x+3y=5?
A. (2,3)
B. (2,1)
C. (-2,3)
D. (-2,0)
Answer:
B(2,1). And C(-2,3)
Step-by-step explanation:
Tbh, you can just plug the numbers into the original equation :2x+3y=5
A.2x2+3x3=13 ≠5
B.2x2+3x1=5=5
C.-2x2+3x3=5=5
D.-2x2+3x0=-4≠5
So the answer is B and C lies on the line
6 miles is approximately equal to 9 km. How many km are equal to 54
miles? How many miles are equal to 12 km?
Answer:
54mile equal to 81km
8mile equal to 12km
8 to the 2 power-28/4+2?
Answer:
59
Step-by-step explanation:
hope it helps brainliest pls
6
0 0 0
TIME RE
44
Jeremiah flies an airplane for 2.7 hours at an average speed of 304.6 miles per hour. How far did Jeremiah fly?
Answer:
112.81 miles
Step-by-step explanation:
304.6 divided by 2.7
In a computer tape library there are two racks with 50 tapes per rack. On Monday there are 35 tapes in use, on Tuesday 60, and on Wednesday 25. What fraction on the average is in use for the 3 days
Based on the number of tapes used on those days and the number of tapes in the rack, the fraction on the average used was 2/5
The average tapes used in those 3 days was:
= (35 + 60 + 25) / 3
= 120 / 3
= 40 tapes
The total number of tapes that can be used are:
= 50 + 50 per rack
= 100 tapes
The fraction of the average is:
= 40 / 100
In the lowest term this is:
= 2 / 5
In conclusion, the fraction is 2/5
Find out more about fractions at https://brainly.com/question/233783.
Mario has save $200 towards the cost of buying a $1000 computer in the weeks to come he passes seven additional $30 per week create an expression that represents the amount of money Mario has saved after W weeks
Answer:
30w+200=1000
Step-by-step explanation:
write the equation of the line that passes through the points ( 1, -1) and (0, 5)
Answer:
y=-6x+5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-(-1))/(0-1)
m=(5+1)/-1
m=6/-1
m=-6
y-y1=m(x-x1)
y-(-1)=-6(x-1)
y+1=-6(x-1)
y=-6x+6-1
y=-6x+5
22. PLEASE HELP PLEASSSSSSEEEEEEEE
Answer:
me too i need help its in my HW and exam
Step-by-step explanation: