Answer:
x = 9
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
given
[tex]log_{x}[/tex] 729 = 3 then
729 = x³
note 729 = 9³ , so
9³ = x³ ( equating the bases) , gives
x = 9
Calculate the volume of the figure below.
Answer:
4080 cm³
Step-by-step explanation:
Figure is of a cuboid
Given length (l) = 30cm
breadth (b) = 17cm
height (h) = 8cm
Volume of cuboid = l.b.h
= 30 × 17 × 8
= 4080 cm³
Question 13 of 17
Which values of x would make a polynomial equal to zero if
the factors of the polynomial were (x+4) and (x+8)?
Answer:
-4 and -8
Step-by-step explanation:
(x+4)(x+8) = 0
x+4 = 0 or x +8 = 0
x = -4 or x = -8
one lap around a dirt track is 1 /3 of a mile. It takes Bryce 1/9 of an hour to ride one lap.
Answer:
3 miles/hour.
Step-by-step explanation:
If the question is what is Bryce's average speed over the lap it is:
Distance / time
1/3 / 1/9
= 1/3 * 9
= 9/3
= 3 miles/hour.
Hank has 6 black pens, 4 red pens, and 14 pencils in his desk drawer.
If he reaches into his desk drawer and randomly selects something to write with, what is the probability that he will grab a pen?
-7-3 log₂ (-n + 10) = -16
Answer:
2
Step-by-step explanation:
-3 log₂ (-n + 10) = -16+7
-3 log₂ (-n + 10) = -9
log₂ (-n + 10) = -9/-3
log₂ (-n + 10) = 3
-n + 10 = 2^3
-n + 10 = 8
n=2
How do I look at the recently posted questions? i'm lost and I want to answer some questions but I forgot how to go to the section. Send help please.
There should be q icon that says give answer, to find new questions in that section refresh the page
3. Find m2ABC.
(2x+14)
(x+7)°
Answer:
Step-by-step explanation:
suppose that there is a circular race track. Joseph takes 25 minutes to finish it and Owuor takes 35 minutes
to finish it. If both of them start running from the same point at the same time in the same direction, after
how many minutes will they meet for the first time on the starting point?
Answer:
They will cross the finish line together in 175 minutes.
Step-by-step explanation:
This question asks you to consider the 25 and 35 times table.
I listed the 25 and 35 times tables and tried to find the lowest common multiple.
You can see that on Josephs' 7th lap of the track he will cross the line simulatneously with Owuor who will be on his 5th lap. So the answer should be 175 minutes.
25 × 1 = 25 35 × 1 = 35
25 × 2 = 50 35 × 2 = 70
25 × 3 = 75 35 × 3 = 105
25 × 4 = 100 35 × 4 = 140
25 × 5 = 125 35 × 5 = 175
25 × 6 = 150 35 × 6 = 210
25 × 7 = 175
25 × 8 = 200
What is the value of x?
42
21
19
38
Answer:
21.
Step-by-step explanation:
Angles subtended by the same arc on the circumference of the circle are congruent, so:
2x = 42
x = 21.
Here is Diya's work writing the expression 6 - 2x + 5 + 4x with fewer terms. Describe the mistake that Diya made.
Diya's Work
6- 2x + 5 + 4x
4x +
9x
13x Write an expression equivalent to 6 - 2x + 5 + 4x that has two terms.
Answer:
Below.
Step-by-step explanation:
This is the correct solution:
6 - 2x + 5 + 4x
= -2x + 4x + 6 + 5
= 2x + 11.
It looks like they added unlike terms together (4x + 5) to give 9x (incorrect) then added the 4x to give 13x.
Write the product using exponents.
I think it is negitave 6 times negitave 6 hope this helps.
the diagram shows a cuboid 4cm, 5cm and 9cm what is the surface area of the cuboid?
length= 9 cm
width= 5 cm
height= 4 cm
to find:the surface area of the given cuboid.
solution:[tex]s.a = 2(lb + bh + lh)[/tex]
[tex]s.a = 2((9 \times 5) + (5 \times 4) + (9 \times 4))[/tex]
[tex]s.a = 2(45 + 20 + 36)[/tex]
[tex]s.a = 2 \times 101[/tex]
[tex]s.a = 202 \: {cm}^{2} [/tex]
therefore, the surface area of the given cuboid is 202 square centimeters.
The figure below shows a triangular piece of cloth:
What is the length of the portion BC of the cloth? (1 point)
Answer:
BC / 8 = sin 35° by definition.
Step-by-step explanation:
In the figure below, \overline{AC}
AC
start overline, A, C, end overline and \overline{BD}
BD
start overline, B, D, end overline are diameters of circle PPP.
What is the arc measure of minor arc \stackrel{\large{\frown}}{BC}
BC
⌢
B, C, start superscript, \frown, end superscript in degrees?
The measure of minor arc BC is equal to ∠BPC which is 147 degrees.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
From the diagram:
4k + 159 = 2k + 153 (vertical opposite angles are equal)
4k + 159 = 2k + 153
k = -3
Arc Bc = 4k + 159 = 4(-3) + 159 = 147
The measure of minor arc BC is equal to ∠BPC which is 147 degrees.
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Answer: 147 :)
Step-by-step explanation:
khan academy
is 2.06532 rational or irrational?
Answer:
irrational
Step-by-step explanation:
irrational because it has decimals at the end.
Since we can write the given decimal number into fractional form therefore it is a rational number.
Use the concept of decimals defined as:
Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value.
The given number is:
2.06532
The number 2.06532 is rational because it can be expressed as a fraction of two integers.
In this case,
It can be written as the fraction 206532/100000.
Hence,
The given number is a rational number.
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PLEASE HELP!!!!!!!!!!!!!!!!
Using a calculator, it is found that the correlation coefficient for this data is given by:
B. -0.901.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.To find the coefficient, which has symbol r², we input in a calculator the values of x and the values of y, hence:
r² = -0.901.
Which means that option B is correct.
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Which is the equation of a trend line that passes through the points (7, 450) and (14, 401)? y = negative 7 x 499 y = negative startfraction 1 over 7 endfraction x 451 y = startfraction 1 over 7 endfraction x 449 y = 7 x 401
The equation of the line that passes through the points (7, 450) and (14, 401) is y + 7x = 499
How to find equation of a line?The equation of a line can be represented as follows:
y - y₁ = m(x - x₁)
where
m = slopeTherefore, (7, 450)(14, 401)
m = 401 - 450 / 14 - 7 = -49 / 7 = -7
Therefore, using (7, 450)
y - 450 = -7(x - 7)
y - 450 = -7x + 49
y + 7x = 49 + 450
y + 7x = 499
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help me pleeeeeeease
[tex]P = l + l + b + b[/tex]
[tex]P = 2(2a + 3) + 2(8a - 12)[/tex]
[tex]\boxed{\sf{P=20a-18}}[/tex]
Question 2:[tex]P = 20(3) - 18[/tex]
[tex]P = 60 - 18[/tex]
[tex]\boxed{\sf{P = 42 cm}}[/tex]
Question 3:[tex]P = (3b + 7) + (7b - 2) + (7b - 2)[/tex][tex]\boxed{\sf{P = 17b+3}}[/tex]
Question 4:[tex]P = 17(6) + 3[/tex]
[tex]P = 102 + 3[/tex]
[tex]\boxed{\sf{P = 105 \: m}}[/tex]
Find the lcd of the given rational equation
The LCD of the rational equation [tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex] is (x + 2) (x -1)(x - 2)
How to determine the LCD?The rational equation is given as:
[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex]
Factorize the quadratic denominator
[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{(x -1)(x - 2)}[/tex]
Write out the denominators
(x + 2), (x - 1) and (x -1)(x - 2)
Remove the repetition
(x + 2) (x -1)(x - 2)
Hence, the LCD of the rational equation is (x + 2) (x -1)(x - 2)
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Which of the following can represent the three angles in an obtuse, scalene triangle?
-50, 30, 100
-40, 50, 90
-30, 30, 120
-50, 50, 80
Answer:
30, 30, 120
Step-by-step explanation:
Answer:
•50, 30, 100
Step-by-step explanation:
One side (100) is much bigger than the rest (over 90), and the other two are not alike or the same, making it scalene.
4. At a local print shop, 25 copies cost $1.50. At this rate, how much would 60 copies cost?
Answer:
60 copies would cost 3.60
Step-by-step explanation:
help help help help help
Answer:
mPS = 80°
Step-by-step explanation:
angles on a circle subtended by the same arc are congruent
∠ PQS and ∠ PRS are both subtended by arc PS , then
10 + 3x = 110 - 7x ( add 7x to both sides )
10 + 10x = 110 ( subtract 10 from both sides )
10x = 100 ( divide both sides by 10 )
x = 10
then
∠ PQS = 110 - 7x = 110 - 7(10) = 110 - 70 = 40°
the inscribed angle PQS is half the measure of its intercepted arc PS , then
PS = 2 × 40° = 80°
Help me answer this please
Answer:
scale factor = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
the scale factor is the ratio of corresponding sides , Q to P , then
scale factor = [tex]\frac{3}{4}[/tex]
[tex]x \6 - 1 = x \4 + 1 \2[/tex]
answer. the question pls pls pls pls
Answer:
-18
Step-by-step explanation:
Hope it helps....................................................
This diagram shows the plan for a wooden deck. The scale dimensions of the deck are shown.
If the scale used in the diagram is 1/4 = 1ft.
what is the perimeter of the actual deck?
36 ft
48 ft
12 ft
3 ft
Help pleaseEEEEEEEEE i need it badlyyyy
volume: volume of cone is 1/3πr^2h
radius is 2
height is 6
plug into equation: 1/3π(2)^2*6=about 2.55 or 8π
surface area: surface area of cone is πrs+πr^2 where s is slant height.
to find slant height use pythagorean theorem: √(2^2+6^2)=√40
radius: 2
height:6
slant height: √40
plug into equation: π(2)(√40)+π(2^2)=about 52.30 or 4√10π+4π
SOMEONE I NEED HELP PLS HELP ME!!
Answer:
PQ = 6 units
Step-by-step explanation:
note that the y- coordinates of P and Q are both - 7
then PQ is the difference in the x- coordinates, that is
PQ = | 7 - 1 | = | 6 | = 6
or PQ = | 1 - 7 | = | - 6 | = 6
2. f(x)=4x+1 and g(x)=x2−4x−5, find (g◦f)(4).
Answer:
(g · f)(4) = 45
Step-by-step explanation:
f(x)=4x+1
g(x)=x² - 4x- 5
(g · f)(x) = 4(x² - 5) + 1
(g · f)(4) = 4(4² - 5) + 1
Following pemdas
(g · f)(4) = 4(16 - 5) + 1
(g · f)(4) = 4(11) + 1
(g · f)(4) = 44 + 1
(g · f)(4) = 45
The probability of spinning am even number is 40%. What is the probability of not spinning an even number, written as a decimal
Answer:
That would be 0.6 that means 60 percent.
Answer:
Probability of not spinning an even number is 0.6
Step-by-step explanation:
Total probability is 100 since it represented by %.
Therefore if 40% is the probability of spinning an even number then that of not spinning an even number is simply
100% - 40% = 60%
Expressing 60% as a decimal gives us 0.6
The function[tex]f(x)=-11sin (\frac{7}{3}x+\frac{1}{6}) - 2[/tex] models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.
Over what range of temperatures does the average rate of change in temperature fall?
Range of temperatures does the average rate of change in temperature fall -13F and 9 F
What is formula for Fahrenheit?The Fahrenheit temperature scale is used in the United States; the Celsius, or centigrade, scale is employed in most other countries and for scientific purposes worldwide. The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) representation is: °F = (9/5 × °C) + 32.
Given function:
f(x)= -11 sin(7/3 x+ 1/6) -2
The function will be maximum at
7/3 x +1/6= 3π/2
So, the maximum temperature will be
= -11 sin (3π/2) -2
= 11 -2
=9 F
The function will be minimum at
7/3 x +1/6= π/2
So, the maximum temperature will be
= -11 sin (π/2) -2
= -11 -2
= -13 F
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