Answer:
It is a trapezoid because it has exactly one pair of opposite sides that is parallel.
Step-by-step explanation:
D
dont worry its right
happy learning
Which expression is equivalent to log Subscript 2 Baseline 9 x cubed? log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x log Subscript 2 Baseline x + 3 log Subscript 2 Baseline 9 3 log Subscript 2 Baseline x minus log Subscript 2 Baseline 9 3 log Subscript 2 Baseline 9 minus log Subscript 2 Baseline x
Answer:
log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x.
Log₂ 9 + 3Log₂ x
Step-by-step explanation:
Log subscript 2 baseline 9 x cubed can be written as:
Log₂ 9x³
Now, let us simply Log₂ 9x³.
This is illustrated below:
Log₂ 9x³
Recall: LogMN = Log M + Log N
Log₂ 9x³ = Log₂ 9 + Log₂ x³
Recall: Log Mⁿ = nLog M
Log₂ 9x³ = Log₂ 9 + 3Log₂ x
Therefore, the answer is log Subscript 2 Baseline 9 + 3 log Subscript 2 Baseline x.
The equivalent expression of [tex]\log_2(9x^3)[/tex] is [tex]\log_2(9) + 3\log_2(x)[/tex]
The logarithmic expression is given as:
[tex]\log_2(9x^3)[/tex]
Apply the quotient law of logarithm
[tex]\log_2(9x^3) = \log_2(9) + \log_2(x^3)[/tex]
Apply the power rule of logarithm
[tex]\log_2(9x^3) = \log_2(9) + 3\log_2(x)[/tex]
Hence, the equivalent expression of [tex]\log_2(9x^3)[/tex] is [tex]\log_2(9) + 3\log_2(x)[/tex]
Read more about equivalent expressions at:
https://brainly.com/question/2972832
-2x-3=-9. What does x equal?
Answer:
x=3
Step-by-step explanation:
-2x-3=-9
Add 3 to each side
-2x-3+3=-9+3
-2x = -6
Divide by -2
-2x/-2 = -6/-2
x = 3
Answer:
x =3
Step-by-step explanation:
[tex]-2x-3=-9. \\ - 2x = - 9 + 3 \\ - 2x - 6 \\ \frac{ - 2x}{ - 2} = \frac{ - 6}{ - 2} [/tex]
[tex]x = 3[/tex]
What’s a possible value of an integer that is less than 14 units from 29 but no more than or equal to 18
Answer:
15, 16, 17, 18
Step-by-step explanation:
29-14=15
15, 16, 17, 18 are less than or equal to 18
If c cars can be parked in each of the four main rows of the parking lot, what is the expression gor the maximum number of cars that can be parked in the parking lot?
Answer:
4c
Step-by-step explanation:
We can say that the maximum number of cars can be represented as:
Maximum number of cars = Total of rows × Number of cars per row
In this particular case, we have 4 rows and the number of cars per row is c, thus, the expression above becomes:
Maximum number of cars = 4c
Please help me!! I am struggling... I will not accept nonsense answers!
Answer:
y = 110°
Step-by-step explanation:
The inscribed angle CHF is half the measure of its intercepted arc CDF
The 3 arcs in the circle = 360°, thus
arc CDF = 360° - 160° - 60° = 140°, so
∠ CHF = 0.5 × 140° = 70°
∠ CHF and ∠ y are adjacent angles and supplementary, thus
y = 180° - 70° = 110°
On March 20, Soren kierkegaard deposited $1000 into his savings account that pays 5.5% interest compounded daily. How much interest will the money earn by April 20?
Hey there! I'm happy to help!
There are 31 days in March, so there are 11 days left in March. We add this to the 20 days in April, giving us 31 total days this interest is compounded.
We could calculate the amount compounded each day for 31 total days, but that would take a long time. Instead, there is a formula we can use to calculate compound interest instead.
[tex]Total= P(1+i)^n\\\\P=Principal Amount\\i=interest rate\\\\n=number of times compounded[/tex]
So, let's plug in those numbers! Remember to convert the percent to a decimal so it works in the equation!
[tex]Total=1000(1+0.055)^3^1\\Total=1000(5.258068609)\\Total=5258.068609[/tex]
Now, we subtract the initial amount just to see how much interest was earned.
5258.068609-1000=4258.07 (rounded to nearest cent).
Therefore, the money will have earned $4,258.07 by April 20.
Have a wonderful day!
Pls hellppp
Jennifer wants to visit 4 different cities A,B,C and D on her vacation. If she will visit them one at a time, and completly random, what is thr probabitly that she will visit them in the exact order ABCD or DCBA?
Answer: The probability that she will visit them in the exact order ABCD or DCBA = [tex]\dfrac{1}{12}[/tex]
Step-by-step explanation:
Given: Jennifer wants to visit 4 different cities A,B,C and D on her vacation.
If she visits in an order , total such orders will be [tex]4![/tex] = 4 x 2 x 3 x 1 =24.
Since probability = [tex]\dfrac{\text{Favourable outcomes}}{\text{total outcomes}}[/tex]
In this case favorable outcomes ( ABCD , DCBA)= 2
Total outcomes = 24
Required probability = [tex]\dfrac{2}{24}=\dfrac{1}{12}[/tex]
Hence, the probability that she will visit them in the exact order ABCD or DCBA = [tex]\dfrac{1}{12}[/tex]
help again plz.......
In65 - lnX = 39
What does X=?
Answer:
The answer is 7.47Step-by-step explanation:
In this problem we are going find the natural logarithmic of the numbers involved and solve for x
[tex]ln65-Ln x= 39\\[/tex]
from tables
ln 65= 4.17[tex]4.17-ln x= 39\4.17-39= lnx\\-34.83=lnx\\[/tex]
taking the exponents of both sides we have
[tex]e^-^3^4^.^8^3= x\\x= 7.47[/tex]
which step should be completed first in the following problem 4(27÷3²)
Answer:
3²
Step-by-step explanation:
We have to use BPEMDAS Order of Operations:
B - Brackets
P - Parenthesis
E - Exponents
M - Multiply
D - Divide
A - Addition
S - Subtraction
We use this order left to right. Since we have parenthesis, we look at that first. Inside, we have division and exponents. Since exponents come first, we have to evaluate 3² first.
Answer:
square the 3
Step-by-step explanation:
In the order of operations, you must do the exponent inside the parentheses first, so the first step is:
4(27 ÷ 3²) =
= 4(27 ÷ 9)
Answer: square the 3
John has 14 boxes of apples. Each box holds 12 apples. If 6 of the boxes are full, and 8 of the boxes are half full, how many apples does John have?
Answer:
120
Step-by-step explanation:
12 x 6 = 72
8x(12/2)=48
72+48 =120
the three-dimensional shape that this net represents is _______. The surface area of the figure is _____ square centimeters.
Answer:
Shape - Cube
Area= 864
Step-by-step explanation:
The shape folds to become a cube and all the edges are the same size.
Area of a cube is Length * Width * Height = Area
12*12*12= 864
Answer:
Shape - Cube
Area= 864
Step-by-step explanation:
The shape folds to become a cube and all the edges are the same size.
Area of a cube is Length * Width * Height = Area
12*12*12= 864
1. Find the cube root of the following through
estimation a) 300763 b) 704969 c)
( - 226981)
in which are perfect cube
Answer:
A).300763=+ 67
b) 704969= +87
c)( - 226981)= -61
Step-by-step explanation:
The values of the cube root iyf the given numbers above will be looked up in a calculator and the estimated value will be returned back.
Going through the numbers
A).for 300763
The value of the cube root = +67
B). For 704969
The value of the cube root = +89
C). For ( - 226981)
The value of the cube root= -61
What is the weight (in grams) of a liquid that exactly fills a 202 milliliter container if the density of the liquid is 0.685g/mL? Round to the nearest hundredth
Answer:
138.37 gram
Step-by-step explanation:
Formula of density
density = mass/ volume
given
volume = 202 mL
density = 0.685g/mL
using these values in Formula of density
0.685g/mL = mass/ 202 mL
mass = 0.685g/mL * 202 mL = 138.37 gram
Thus, weight of liquid is 138.37 gram to the nearest hundredth.
Answer:
138.37 grams
Step-by-step explanation:
I'm taking the exam. Good luck on yours!
The factory quality control department discovers that the conditional probability of making a manufacturing mistake in its precision ball bearing production is 4 % 4\% 4% on Tuesday, 4 % 4\% 4% on Wednesday, 4 % 4\% 4% on Thursday, 8 % 8\% 8% on Monday, and 12 % 12\% 12% on Friday. The Company manufactures an equal amount of ball bearings ( 20 % 20\% 20%) on each weekday. What is the probability that a defective ball bearing was manufactured on a Friday?
Answer:
The probability that a defective ball bearing was manufactured on a Friday is 0.375.
Step-by-step explanation:
The conditional probability of an events X given that another event A has already occurred is:
[tex]P(X|A)=\frac{P(A|X)P(X)}{P(A)}[/tex]
The information provided is as follows:
P (D|M) = 0.08
P (D|Tu) = 0.04
P (D|W) = 0.04
P (D|Th) = 0.04
P (D|F) = 0.12
It is provided that the Company manufactures an equal amount of ball bearings, 20% on each weekday, i.e.
P (M) = P (Tu) = P (W) = P (Th) = P (F) = 0.20
Compute the probability of manufacturing a defective ball bearing on any given day as follows:
[tex]P(D)=P(D|M)P(M)+P(D|Tu)P(Tu)+P(D|W)P(W)\\+P(D|Th)P(Th)+P(D|F)P(F)[/tex]
[tex]=(0.08\times 0.20)+(0.04\times 0.20)+(0.04\times 0.20)+(0.04\times 0.20)+(0.12\times 0.20)\\\\=0.064[/tex]
Compute the probability that a defective ball bearing was manufactured on a Friday as follows:
[tex]P(F|D)=\frac{(D|F)P(F)}{P(D)}[/tex]
[tex]=\frac{0.12\times 0.20}{0.064}\\\\=0.375[/tex]
Thus, the probability that a defective ball bearing was manufactured on a Friday is 0.375.
30 - 7p = -7 (p+6) -5
Answer:
I think it doesnt have solution.
Rationalize the denominator of $\frac{2}{3\sqrt{5} + 2\sqrt{11}}$ and write your answer in the form $\displaystyle \frac{A\sqrt{B} + C\sqrt{D}}{E}$, where $B < D$, the fraction is in lowest terms and all radicals are in simplest radical form. What is $A+B+C+D+E$? PLEASE HELP ME I WILL DO ANYTHING
Answer:
19Step-by-step explanation:
Given the surdic expression [tex]\frac{2}{3\sqrt{5} + 2\sqrt{11}}\\[/tex], to rationalize the expression, we will have to multiply the numerator and denominator of the expression by the conjugate of the denominator as shown;
[tex]= \frac{2}{3\sqrt{5} + 2\sqrt{11}} * \frac{3\sqrt{5} - 2\sqrt{11}}{3\sqrt{5} - 2\sqrt{11}}\\\\= \frac{2(3\sqrt{5} - 2\sqrt{11})}{(3\sqrt{5} + 2\sqrt{11})(3\sqrt{5} - 2\sqrt{11})}\\\\= \frac{6\sqrt{5} - 4\sqrt{11} }{9\sqrt{25}+6\sqrt{55}- 6\sqrt{55}-4\sqrt{121} } \\\\= \frac{6\sqrt{5} - 4\sqrt{11} }{9(5)-4(11) }\\\\= \frac{6\sqrt{5} - 4\sqrt{11} }{45-44 }\\\\= \frac{6\sqrt{5} - 4\sqrt{11} }{1}[/tex]
Comparing the result [tex]\frac{6\sqrt{5} - 4\sqrt{11} }{1}[/tex] with the expression [tex]\frac{A\sqrt{B} + C\sqrt{D}}{E}[/tex], it can be seen that A = 6, B = 5, C = -4, D = 11 and E = 1
A+B+C+D+E = 6+5+(-4)+11+1
A+B+C+D+E = 11-4+12
A+B+C+D+E = 19
Hence the value of A+B+C+D+E is 19
what is the first step in writing f(x)=6x^2+5-42x in vertex form? a) factor 6 out of each term. b) factor 6 out of the first two terms. c) write the function in standard form. d) write the trinomial as a binomial squared.
Answer:
Answer c): write the function in standard form
Step-by-step explanation:
To start with, it is important to write the polynomial in standard form, so as to have the two terms with the dependence in x together:
[tex]6x^2-42\,x+5[/tex]
then you extract 6 as a common factor of just the terms with the variable x:
[tex]6(x^2-7x)+5[/tex]
Then proceed to complete the square in the expression inside the parenthesis:
[tex]6(x^2-7x+\frac{49}{4} -\frac{49}{4})+5[/tex]
[tex]6\,((x-\frac{7}{2} )^2-\frac{49}{4} )+5\\6\,(x-\frac{7}{2} )^2-\frac{147}{2}+5\\6\,(x-\frac{7}{2} )^2-\frac{137}{2}[/tex]
Then, the function can be finally be written as:
[tex]f(x)=6\,(x-\frac{7}{2} )^2-\frac{137}{2}[/tex]
in vertex form
Answer:
C.) Write the function in standard form
Step-by-step explanation:
SOMEONE PLSSSS HELPPPP. When under equal tension, the frequency of a vibrating string in a piano varies inversely with the string length. If a string that is 410 millimeters in length vibrates at a frequency of 515 cycles a second, at about what frequency will a 705-millimeter string vibrate?
Answer: 299.5 cycles per second.
Step-by-step explanation:
An inverse variation can be written as:
y = k/x
Where, in this case:
y = frequency
x = length of the string
k = constant.
We know that 410 mm correspond to 515 cps.
then:
515cps = k/410mm
k = 515cps*410mm = 211,150 cps*mm
now, if we use x = 705mm we can find the frequency as:
y = ( 211,150 cps*mm)/705mm = 299.5 cycles per second.
Determine the perimeter and area of the red portion of the 2 dimensional figure below, given the circle diameter of 7 cm and the perimeter of the entire figure is 42 cm. Round if necessary
Answer:
Perimeter = 20cm ; area = 59.5cm
Step-by-step explanation:
Given the following :
Perimeter of entire figure = 42cm
Diameter of circle (d) = 7cm
Find the perimeter of the circle :
The perimeter (p) of a circle equals :
2πr
Where r = radius of circle
r = diameter /2 = 7/2 = 3.5cm
Therefore,
P = 2 * (22/7) * 3.5
P = 22 cm
Looking at the figure, we only take the semicircle :
Therefore perimeter of each semicircle =
22cm / 2 = 11cm
Therefore, perimeter of the red shaded region =
(42 - 22)cm = 20cm
Area of Circle = πr^2
(22/7) * 3.5^2 = 38.5 cm
Area of each semicircle = 38.5/2 = 19.25cm
Total area of semicircle = (19.25 +19.25) = 38.50cm
To find sides of rectangle :
Perimeter of the rectangle :
width = diameter of circle = 7cm
2(l + w) = 42
2(l + 7) = 42
2l + 14 = 42
2l = 42 - 14
2l = 28
l = 28/2
length (l) = 14cm
Therefore, area of rectangle :
Length * width
14 * 7 = 98cm
Area of red portion:
Area of rectangle - (area of the 2 semicircles)
98cm - 38.50cm
= 59.50cm
plzzz hellpppppp...........
Answer:
Bearing of R from S = S 45° E or 135°
The bearing of R from Q
= S 66.42° w or 246.42°
Step-by-step explanation:
Distance between R and S
RS²= RP²+PS²
RS²= 15²+15²
RS²=225+225
RS= √450
RS= 21.21
Angle at S
21.21= 15/sins
Sin s= 15/21.21
S= sin^-1 15/21.21.
S= 45°
90+45= 135°
Bearing of R from S = S 45° E or 135°
Distance between R and Q
RQ²= PQ²+PR²
RQ²= 35²+15²
RQ²=1225+225
RQ= √1450
RQ= 38.08
RQ= 15/sinQ
SinQ= 15/38.08
SinQ= 0.40
Q=23.58°
90-23.58 = 66.42°
66.42+180= 246.42°
The bearing of R from Q
= S 66.42° w or 246.42°
What is the slope of the line?
O slope = 1/3
O slope = -3
O slope = 3
Answer:
Slope = 3
Step-by-step explanation:
Slope is rise (vertical distance) over run (horizontal distance).
Our rise is equal to 3
Our run is equal to 1
So, slope = 3/1 = 3
In a school 3/5are boys. In a day 1/6 were absent and 250 boys were present. How many girls are in that school
Answer:
There are 200 girls in that school
Step-by-step explanation:
The correct and complete question is as folly;
In a school 3/5 pupils are boys. One day 1/6 of the boys were absent when 250 boys were present. How many girls are in the school?
SOLUTION
Let the total number of students in the school be x students
Since 3/5 are boys , then the number of girls in the school would be 1-3/5 = 2/5
The number of boys are 3/5 * x = 3x/5
The number of girls are 2/5 * x = 2x/5
Now on a particular day, 1/6 of the boys were absent and 250 boys were present.
What this means is that the fraction of boys present is 1-1/6 = 5/6
Now, 5/6 of the total boys population were present.
Mathematically;
5/6 * 3x/5 = 250
3x/6 = 250
x/2 = 250
x = 2 * 250 = 500
So there are 590 students in the school.
The number of girls in the school is ;
2x/5 = 2/5 * 500 = 200 girls
Adult humans have approximately 2.6 red blood cells and 3.92 white blood cells. About how many times greater is the number of red blood cells than white blood cells?
Answer:
1.5 rounded to the nearest tenth
Step-by-step explanation:
To find how much greater WBC are from RBC we do,
3.92 ÷ 2.6
= 1.50769230769
Which is 1.5 rounded to the nearest tenth.
Thus,
there are approximately 1.5 times WBC than RBC.
Hope this helps :)
The 1.5 times greater is the number of red blood cells than white blood cells
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Adult humans have approximately 2.6 red blood cells and 3.92 white blood cells.
To find the number of times greater is the number of red blood cells than white blood cells:
Use division operation,
3.92 / 2.6
= 1.5076
≈ 1.5 rounded to the nearest tenth.
Therefore, the required number is 1.5 times.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ5
can someone please help
Answer:
The expression is equal to 3,120 when x = -5 and y = 25.
Step-by-step explanation:
In order to obtain the output of the expression when x = -5 and y = 25, we need to apply these numbers in its correct places as shown below. We need to pay close attention to [tex]|x|[/tex] which is the absolute value of "x", this means that if x is positive, then [tex]|x|[/tex] will also be positive, but if x is negative then the result will still be positive.
[tex]\frac{5|x| - y^3}{x}[/tex]
[tex]\frac{5*|-5| - (25)^3}{-5}\\\frac{5*5 - 15625}{-5}\\\frac{25 - 15625}{-5}\\\frac{-15600}{-5} = 3,120[/tex]
The expression is equal to 3,120 when x = -5 and y = 25.
need help nadding and subtracting functions
Answer:
2x² + [tex]\frac{3}{2}[/tex] x - 5
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), thus
f(x) + g(x)
= [tex]\frac{x}{2}[/tex] - 2 + 2x² + x - 3 ← collect like terms
= 2x² + [tex]\frac{3}{2}[/tex] x - 5
Find the equation of the line.
Answer:
y = 2x + 4
Step-by-step explanation:
y = mx + b
b = y-intercept = 4
m = slope = rise/run = 4/2 = 2
y = 2x + 4
EF is a median of trapezoid ABCD. What is the value of x?
Answer:
x = 4
Step-by-step explanation:
The midsegment ( median is equal to half the sum of the parallel bases, that is
[tex]\frac{AB+CD}{2}[/tex] = EF, substitute values
[tex]\frac{4x-10+3x+8}{2}[/tex] = 13 ( multiply both sides by 2
7x - 2 = 26 ( add 2 to both sides )
7x = 28 ( divide both sides by 7 )
x = 4
What happens to the value of the expression 80-2r80−2r80, minus, 2, r as rrr decreases? Choose 1 answer: Choose 1 answer: (Choice A) A It increases. (Choice B) B It decreases. (Choice C) C It stays the same. Stuck?Watch a video or use a hint.
Answer:
(Choice B) B It decreases.
Step-by-step explanation:
According to the situation, the solution of the value of the expression is as follows
Let us assume
r 80 -2r
5 80 - 10 = 70
4 80 - 8 = 72
3 80 - 6 = 74
2 80 - 4 = 76
1 80 - 2 = 78
As we can from the above calculation that expression value risen if r value decreased
Therefore the correct option is B.
Answer:
It increases
Step-by-step explanation:
Pls answer the image given
Answer:
[tex]4 \frac{1}{4} [/tex] hours
Step-by-step explanation:
Given,
Time spent in studies : [tex]1 \frac{3}{4} [/tex] hours
Time spent in playing cricket : [tex]2 \frac{1}{2} [/tex] hours
Now, let's find the time that he spent in all:
[tex]1 \frac{3}{4} + 2 \frac{1}{2} [/tex]
Add the whole number and fractional parts of the mixed numbers separately
[tex](1 + 2)( \frac{3}{4} + \frac{1}{2} )[/tex]
Add the numbers
[tex]3 +( \frac{3}{4} + \frac{1}{2} )[/tex]
Add the fractions
[tex]3 + ( \frac{3 + 1 \times 2}{4} )[/tex]
[tex]3 + ( \frac{3 + 2}{4} )[/tex]
[tex]3 + \frac{5}{4} [/tex]
Convert the improper fraction into mixed number
[tex] 3 + 1\frac{1}{4} [/tex]
Write the mixed number as a sum of the whole number and the fractional part
[tex]3 + 1 + \frac{1}{4} [/tex]
Add the numbers
[tex]4 + \frac{1}{4} [/tex]
Write the sum of whole number and the fraction as a mixed number
[tex]4 \frac{1}{4} [/tex] hours
Hope this helps..
Best regards!!
Answer:
4 1/4 hours.
Step-by-step explanation:
1 3/4 + 2 1/2
= 1 + 2 + 3/4 + 1/2
= 3 + 3/4 + 1/2 The LCM of 2 and 4 is 4 so 1/2 = 2/4. and so we have:
3 + 3/4 + 2/4
= 3 + 5/4
= 3 + 1 1/4
= 4 1/4 hours.