Given:
\(7(6)^x=39\)Required:
We need to find the value of x.
Explanation:
Divide both sides of the equation by 7.
\(\frac{7(6)^x}{7}=\frac{39}{7}\)\((6)^x=\frac{39}{7}\)Take a natural log on both sides of the equation.
\(In(6)^x=In(\frac{39}{7})\)\(Use\text{ }In(a)^n=nIn(a).\)\(xIn(6)=In(\frac{39}{7})\)\(Divide\text{ both sides of the equation by }In(6).\)\(\frac{xIn(6)}{In(6)}=\frac{In(39\/7)}{In(6)}\)\(x=\frac{In(39\/7)}{In(6)}\)\(x=0.9587\)\(x=0.96\)Final answer:
\(x=0.9587\)\(x=0.96\)GIVING ALOT OF POINTS AND I GIVE BRAINLIEST
The access ramp to a parking lot has a rise of 15 feet and a run of 57 feet. To the nearest degree, find the angle between the ramp and the run
HELP PLEASE
5/8 x 4/7
A. 32/35
B. 3/5
C. 20/56
D. 5/14
Answer:
C.
Step-by-step explanation:
Answer the given problem.
Process the data in excel and present the results.
A researcher is interested in knowing how well he can predict blood pressure from sodium intake.
1. Formulate the regression equation for the data.
2. What would be a likely blood pressure reading for a patient with a sodium intake of 6.0? Of 8.5?
PatientsSodiumBP16.515127.317036.616547.517257.618766.716176.716987.819297185107.4190116.2145126.7143
A regression model is used to show the relationship between variables on a scatter plot
The regression equation is: \(\^y = 28.2\^x- 27.9\)The likely blood pressure for a patient with sodium intake of 6.0 and 8.5 are 141.3 and 211.8, respectivelyHow to formulate the regression equationUsing the Microsoft Office Excel, we have the following calculation summary
Sum of X = 84Sum of Y = 2030Mean X = 7Mean Y = 169.1667Sum of squares (SSX) = 2.82Sum of products (SP) = 79.4So, the regression equation is:
\(\^y = 28.2\^x- 27.9\)
Blood pressure for a sodium intake of 6.0 and 8.5This means that x = 6.0 and x = 8.5
When x = 6.0, we have:
\(\^y = 28.2 * 6.0- 27.9\)
\(\^y = 141.3\)
When x = 8.5, we have:
\(\^y = 28.2 * 8.5- 27.9\)
\(\^y = 211.8\)
Hence, the likely blood pressure for a patient with sodium intake of 6.0 and 8.5 are 141.3 and 211.8, respectively
Read more about regression at:
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After 5 hours of flight, how much farther would the fastest bird have traveled than the slowest bird?
Answer: The crow would have traveled 40 miles per hour faster than the seagull after 5 hours of flight
Step-by-step explanation: (crow) 24 times 5 is 120 (seagull) 16 times 5 is 80, so it’s 120 - 80 which is 40
Write y = 5(x - 8)^2 + 4 in standard form
Answer:
\(y=5x^2-80x+324\)
Step-by-step explanation:
This problem refers to triangle ABC. If B = 150°, C = 20°, and c = 21 inches, find b. (Round your answer to the nearest whole number.)
b = ? in
Answer:
Step-by-step explanation:
To solve for b, we can use the law of sines, which states that in any triangle ABC:
a/sin(A) = b/sin(B) = c/sin(C)
Here, we are given B = 150°, C = 20°, and c = 21 inches. We can solve for the remaining angle A by using the fact that the angles of a triangle add up to 180°:
A + B + C = 180°
A = 180° - B - C
A = 180° - 150° - 20°
A = 10°
Now we can use the law of sines to solve for b:
a/sin(A) = b/sin(B)
a = c * sin(A)/sin(C) = 21 * sin(10°)/sin(20°)
b = a * sin(B)/sin(A) = 21 * sin(10°)/sin(20°) * sin(150°)/sin(10°)
b = 21 * sin(150°)/sin(20°)
Using a calculator, we get:
b ≈ 41 inches (rounded to the nearest whole number)
Therefore, the length of side b is approximately 41 inches.
5. The highest temperature ever recorded, which was in California, was measured at an elevation of -179 feet. The lowest temperature ever recorded in California was at an elevation of 5,575 feet. What was the difference in the elevations?
How much should I leave for a tip?
Answer:
$8.40 tip and $56 bill = $64.40 (including tip)
Step-by-step explanation:
15% of 56 is 56*0.15 = 8.4 tip
Factor the expression.
6x2 + 5x + 1
___________________
A.) (3x – 1)(2x + 1)
B.) (3x – 1)(2x – 1)
C.) (3x + 1)(2x + 1)
D.) (3x + 1)(2x – 1)
Answer:
The correct answer is C.) (3x+1) (2x+1)
Step-by-step explanation:
A principal wants to find out how many hours per week the students in the school spend
on exercise. Which sample is likely to be most representative of the student population?
The length of a rectangle is shown below:
If the area of the rectangle to be drawn is 12 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (1 point)
A. C(−3, −2), D(1, −2)
B. C(−3, −1), D(1, −1)
C. C(−3, −4), D(1, −4)
D. C(−3, −5), D(1, −5)
Answer:
A - C(-3, -2), D(1, -2)
Step-by-step explanation:
A coin is flipped 8 times. Find the probability of the event:
exactly 6 heads
Answer:
P(E)=56256=732. Step-by-step explanation:
Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row
which inequality statement below is true?
7.745966… > √59
7.745966… < √59
The inequality statement 7.745966… < √59 is true.
The symbol √59 represents the square root of 59, which is approximately 7.681146. The value 7.745966… is a decimal representation of the square root of 59 that has been rounded to three decimal places. Because 7.681146 is less than 7.745966, the inequality statement 7.745966… < √59 is true.
Among the following which is the best
example for unlike terms?
O8x, 9t
O 9x-2x
О 3р. 5р
All of the choices
Find the midpoint of the line segment joining points A and B.
A(2,- 7); B(2,3)
Answer: (2, -2)
Step-by-step explanation:
\(\left(\frac{2+2}{2}, \frac{3-7}{2} \right)=(2,-2)\)
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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Simplify.
21. (2x^4- 6x^3 + x^2 - 3x - 3) / (x - 3)
Answer:
https://www.tiger-algebra.com/drill/2x~4-6x~3-x~2_3x/
Solve the quadratic equation 8x2 + 6x = 5 using the quadratic formula.
Question 19 options:
A)
x = –5∕4, x = 1∕2
B)
x = –5∕4, x = –1∕2
C)
x = –1∕2, x = 5∕4
D)
x = 1∕2, x = 5∕4
Answer: A
Step-by-step explanation:
\(8x^2 +6x=5\\\\8x^2 +6x-5=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(8)(-5)}}{2(8)}\\\\x=\frac{-6 \pm 14}{16}\\\\x=-\frac{5}{4}, \frac{1}{2}\)
show your work please so I can understand it better
Answer:
b/7=-5
b=-5×7
b=-35
Step-by-step explanation:
2.c/8-(-9)=18
c/8+9=18
c/8=18-9
c/8=9
c=9×8
c=72
Let y represent any number in this sequence.1, 5, 25, 125,Which of these can be used to determine the next number in this sequence?5yy/5y+4
we have
\(undefined\)angle of is a right angle. the sides of are the diameters of semicircles as shown. the area of the semicircle on equals , and the arc of the semicircle on has length . what is the radius of the semicircle on ?
The radius of the semicircle having an arc of length equal to 8.5 \(\pi\) in a right-angle triangle ABC is equal to 7.5 cm.
Given:
Angle ABC of triangle ABC is a right angle. The sides of ABC are the diameters of semicircles.
The area of the semicircle on AB equals 8\(\pi\).
Area of a semicircle = \(\pi r^2/2\)
Therefore:
\(\pi r^2/2\) = 8\(\pi\)
\(r^2 = 16\)
\(r = 4\)
Next, the arc of the semicircle on AC has a length of 8.5\(\pi\).
Length of the arc of a semicircle = \(\pi r\)
\(\pi r\) = 8.5\(\pi\)
\(r = 8.5\)
Using Pythagoras theorem
\(8.5^{2} = 4^{2} + x^{2}\)
\(x^{2} = 8.5^2 - 4^2\\\)
\(x^{2} = 56.25\)
\(x = \sqrt{56.25}\)
\(x = 7.5\)
The radius of the semicircle of BC = 7.5 Units.
Refer to this complete question for this:
Angle ABC of triangle ABC is a Right angle. The sides of ABC are the diameters of semicircles as shown. The area of the semicircle on AB equals 8pi and the arc of the semicircle on AC has a length of 8.5pi. What is the radius of the semicircle of BC?
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If user 6583 answers 29 questions for 215 b points how many points are there average
Answer:
7.4137931034
Step-by-step explanation:
Average per question = total points/total questions = 215/29 = 7.4138...
Answer:
the answer is 7.413793103
Step-by-step explanation:
here, the average is calculated by total points / no. of questions.
= 215/29
= 7.413793103...is answer.
hope it's what you are searching for..
55
At a restaurant, the bill comes to $65. If you decide to leave a 11% tip, how much is the tip?
$
Give dollars and cents (like 1.23)
Answer:
Step-by-step explanation:
To find the tip, we first need to calculate 11% of the bill amount, which is:
0.11 x $65 = $7.15
Therefore, the tip is $7.15.
Answer:
$7.15
Step-by-step explanation:
Syep by step picture attached
which set of expo pens has a cheaper price the set of 8 which cost in total 11.57$ or the set of 4 which is 4.49
Answer:
the 4.49 ones.
Step-by-step explanation:
11.57 divided by 8 would result in each pen costing 1.44$ per pen. Meanwhile, dividing 4.49 by 4 would result in each pen costing 1.12$.
Answer: The second deal is cheaper
=========================================================
Explanation:
We're looking for the unit cost, which is the cost for one item (in this case, it's the cost of one pen). To get the unit cost, divide the total cost over the number of pens.
For the first deal, we have a unit cost of 11.57/8 = 1.44625 which rounds to 1.45 dollars.
The unit cost for the second deal is 4.49/4 = 1.1225 which rounds to 1.12 dollars. The second deal is the cheaper option due to 1.12 being smaller than 1.45
What is F(-x)?
F(x)=x^3+1
Answer:
F(-x) = 0
Step-by-step explanation:
What is F(-x)?
F(-x) = F(-1)
F(x) = x³ + 1 F(-1)
F(-1) = -1³ + 1
F(-1) = -1 + 1
F(-1) = 0
So, F(-x) = 0
Answer:
f(-1) = 0
Step-by-step explanation:
Evaluating a function for f(-x) is the same as evaluating it for f(-1).
So we plug in -1 instead.
f(-1) = x³ + 1
= (-1)³ + 1 (here we cube -1)
= -1 + 1 (here we subtract)
= 0 (and, this is the answer)
\(\therefore\) The answer is f(-1) = 0
Please answer it. Thank you
Answer:
\(5x + 1 + 90 + 7x - 7 \\ 12x + 84 \\ 12x = - 84 \\ x = 7\)
513.4497 rounded to the hundredths place
Answer:
513.45
Step-by-step explanation:
use intelligence
which equation matches the table
Answer:
( B ) definitely .. try each choice and you will see .
Answer:
b
Step-by-step explanation:
helo please show work
Answer:
Step-by-step explanation:
Solution:
We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).
The GCF of 305 and 60 is 5.
Divide both terms by 5.
305 ÷ 5 = 61
60 ÷ 5 = 12
Therefore:
305 : 60 = 61 : 12
What integer is having 3 dollats
Answer:
Why is 3 an integer?
They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4