Rewrite the following expression using one or more properties of logarithms and evaluate? Plz help :)
Answer:
[tex]log( \frac{1}{ {10}^{ - 5} } ) = log( {10}^{5} ) = 5 log(10) = 5[/tex]
5 is the right answer.Which facts could be applied to simplify this expression? Select three options.
(Negative 5 x minus 3 y) minus (negative x minus 3 z)
To subtract like terms, subtract the coefficients, not the variables.
Like terms are terms that contain the same variable, raised to the same power.
The simplified expression is Negative 6 x minus 3 y + 3 z.
The simplified expression is Negative 4 x minus 3 y + 3 z.
Negative (negative x) is equivalent to Negative x, so Negative 5 x minus x = negative 6 x
Answer:
Negative 4 x minus 3 y + 3 z.
Step-by-step explanation:
We need to simplify the given expression : (-5x-3y)-(-x-3z)
Here, x,y and z are variables.
Combining like terms, we get :
(-5x-3y)-(-x-3z) = (-5x-3y)+x+3z
= (-5x+x)-3y+3z
= -4x-3y+3z
Hence, the equivalent expression is -4x-3y+3z. Hence, the correct option is (b) "The simplified expression is Negative 4 x minus 3 y + 3 z".
Answer:
a,b,d
Step-by-step explanation:
Divya wants to rent a car to drive for the weekend. The rental company has a special that allows her to rent it for $200 for the weekend, plus $0.07 per mile. Divya only has $230. Write an inequality, solve, and determine her limitations when renting.
Answer:
[tex]200 + 0.07m \leq 230[/tex]
A maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.
Step-by-step explanation:
Given that:
Rent to be paid for the car in the weekend = $200
Charges to be paid per mile = $0.07
Total money available with Divya = $230
To find:
The inequality as per her limitations and solution to the problem.
Solution:
Let the number of miles for which Divya can drive = [tex]m[/tex] miles
Charges for one mile = $0.07
Charges for [tex]m[/tex] miles = $0.07[tex]m[/tex]
Total charges for renting and [tex]m[/tex] miles = Rental charges + Operational charges
Total charges for renting and [tex]m[/tex] miles = $200 + $0.07[tex]m[/tex]
These are charges must be lesser than equal to the amount of money available with Divya.
Therefore, we can write:
[tex]200 + 0.07m \leq 230[/tex]
Subtracting 200 from both the sides:
[tex]0.07m \leq 30[/tex]
Dividing both sides with 0.07:
[tex]m \leq \dfrac{30}{0.07}\\m\leq 428.6[/tex]
Therefore, a maximum of [tex]\approx[/tex] 428 miles is the distance what Divya can travel.
The ratio of the sides of two similar polygons is 3:2. The area of the smaller polygon is 24cm squared. What is the area of larger polygon
Answer: 36cm
Step-by-step explanation:
From the question, we are informed that the ratio of the sides of two similar polygons is 3:2 and that the area of the smaller polygon is 24cm squared.
Therefore, the area of the larger polygon would be calculated as:
= 24cm ÷ 2/3
= 24cm × 3/2
= 36cm
WILL GIVE BRAINLIEST: What are three ordered pairs that create a relation with a domain of {−2, 1, 4}
yeap praise god
Step-by-step explanation:
BLACK LIVES MSTTER
Answer:
(-2,1)( 1,4 ) (-2,4)
Step-by-step explanation:
A mail order company charges 4.5% for shipping and handling. If the total order is 54.34 how much was the order total before shipping? Write an equation
Answer:
$52
Step-by-step explanation:
Given that :
Amount charged for shipping and handling = 4.5%
Let cost of order = x
Total amount charged = 54.34
However,
total. Amount charged = (total cost + handling and shipping)
54.34 = x + 0.045x
54.34 = 1.045x
Order total before shipping = 54.34 / 1.045
Order total before shipping = 52
A tela de um celular é um retângulo de 5,2 cm de largura por 8,6 cm de comprimento. Calcule a área da tela desse celular, em m². Dica: 1m² = 10000 cm²
Responda:
0,004816 m²
Explicação passo a passo:
Dado que :
Dimensão da tela retangular do celular = 5,6 cm por 8,6 cm
A área de um retângulo = comprimento * largura
Área da tela do celular = 5,6 cm * 8,6 cm = 48,16 cm²
A área em m²:
1m² = 10000cm²
Conseqüentemente,
(48,16 / 10.000) m²
= 0,004816 m²
Find the equation in slope intercept form
(-8,-2) and (-4,6
Answer:
y = 2x + 14
Step-by-step explanation:
Answer:
y = 2x + 14
Step-by-step explanation:
Use the slope equation:
[tex]m = \frac{y2-y1}{x2-x1}[/tex]
[tex]m = \frac{6-(-2)}{-4-(-8)}\\m = \frac{8}{4}\\m = 2[/tex]
Next, find the y-intercept by subbing in one of the points and the slope into what you have so far in the equation:
(-8, -2)
y = mx + b
-2 = 2(-8) + b
-2 = -16 + b
-2 + 16 = b
b = 14
Now you have your final equation:
y = 2x + 14
The graph of the absolute value parent function, fx) = [xl, is stretched
horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?
O A. g(x) = (x+61
B. g(x) = 6] x1
O c. g(x) = \šal
D. g(x) = 16x1
Answer:
g(x) = [x/6]
Step-by-step explanation:
The given graph is f(x)=[x]
On stretching the function f(x) by a factor of 6, the new function g(x) is
g(x) = f(x/6)
So, g(x) = [x/6]
Hence, on stretching the f(x) by a factor of 6, the new function g(x)=[x/6].
Note that none of the given options matched.
A coin is flipped three times.
What is the number of possible outcomes?
2
4
8
16
Answer:
8
Step-by-step explanation:
2^3 is 8
(03.02 MC)The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:
Ana read 15% of her 46-page book.
Hillary read 11% of her 72-page book.
Roger read 12% of his 68-page book.
Juan read 14% of his 69-page book.
Who can read the greatest number of pages in a day?
explain your answer
Answer:
2564
Step-by-step explanation:
Andre draws this tape diagram for 3 divided by 23:
Andre says that 3 divided by 23 = 413 because there are 4 groups of 23 and 13 left. Do you agree with
1/4x+5=30 what is the sum
Answer:
x = 100
Step-by-step explanation:
First we do 30 - 5 which is 25 then we divide by 1/4 which is really multiplying by four so the answer is 100
What is an equation of the line that passes through the point (-5, -1) and is
parallel to the line 4x + 5y = 45?
Answer:
y = -4/5 x - 5
Step-by-step explanation:
Qustion 21
Ranjan walks a distance of 5 km towards East,
then turns to his right and walks for 4 km. He
then turns left and walks for 4 km. At this
point he turns to his right and walks for 2 km.
He turns right and walks 1 km. How many
kilometers is he from the starting point?
A 10 km
Answer:
8km
Step-by-step explanation:
Going by the sketch attached in the picture, the distance between starting point and present position is 8 km.
The sketch is crucial to determine the answer to the question, Hence, kindly check the picture attached for reasoning being the choice of result.
Writing in Slope-Intercept Form, 4 Ways (3, 2) & (-3, -4)
help plz:)
Answer:
[tex]let \: slope \: be \: s \\ s = \frac{( {y}^{1} - {y}^{o} ) }{( {x}^{1} - {x}^{o} ) } \\ s = \frac{( - 4 - 2)}{( - 3 - 3)} \\ s = \frac{ - 6}{ - 6} \\ s = 1[/tex]
Jolene and Samantha begin a trip from the same place at the same time. If Jolene's speed is 40 mph and
Samantha's speed is 50 mph, how many hours will it take for Samantha to get 25 miles ahead
Answer:
Step-by-step explanation:
Jolene speed =40 mph
Samantha speed=50mph
let x be the time Samantha needs to be ahead of Jolene
40x+25=50x
25=50x-40x
25=10x
x=2.5 hours
Translate a point (x, y) 3 units left and 5 units up. Then translate the image 5 units right and 2 units up. What are the coordinates
of the point after the translations?
The coordinates are
Answer:
Please check the explanation.
Step-by-step explanation:
Given the point
P(x, y)
Please note that when we translate a point 'c' units left, the 'c' units are subtracted from the x-values, and when translating a point 'c' units right, we add the 'c' units to the x-values.
Also, note that when we translate a point 'c' units down, the 'c' units are subtracted from the y-values, and when translating a point 'c' units up, we add the 'c' units to the y-values.
After First Translation:
3 units left and 5 units up
P(x, y) → P'(x-3, y+5)
After Second Translation:
Translate the image 5 units right and 2 units up.
P'(x-3, y+5) → P''(x-3+5, y+5+2) = P''(x+2, y+7)
Thus, the coordinates of the point(x, y) after the translations are: P''(x+2, y+7)
TAKING AN EXAMPLE
Let us consider that point
P(0, 0)
After First Translation:
3 units left and 5 units up
P(0, 0) → P'(0-3, 0+5) = P'(-3, 5)
After Second Translation:
Translate the image 5 units right and 2 units up.
P'(-3, 5) → P''(-3+5, 5+2) = P''(2, 7)
Thus, the coordinates of the point P(0, 0) after the translations are:
P''(2, 7)Answer: P''(2, 7). (hope this is what you wanted)!
a ticket originally cost $20, but it's price decreases by 20%
ANSWER ASAP MARKING BRAINLIEST HELPPP
Answer:
$16
Step-by-step explanation:
20% is the same as 0.2 in decimal form, since its decreasing you multiply $20 by 0.8 to get 16. If it was increasing, it would be 20 times 1.2
Answer:
$16.00
Step-by-step explanation:
This is the answer because:
1) Since the price decreases by 20%, we have to first figure out what 20% of $20 is:
20% of $20 = 4
2) Next, we just have to subtract 4 from 20 so we can find out how much the cost is:
$20.00 - 4 = $16.00
Therefore, the answer is $16.00.
Hope this helps! :D
Does this sequence converge or diverge? \left\{\frac{10n-6}{2n-3}\right\} { 2n−3 10n−6 }
Answer:
The sequence converges
Step-by-step explanation:
Given the sequence Un = 10n-6/2n-3
To determine whether the sequence converges or diverges, we will have to take the limit of the sequence as n goes large.
[tex]\lim_{n \to \infty} \left\{\frac{10n-6}{2n-3}\right}\\[/tex]
Divide through by n
[tex]= \lim_{n \to \infty} \left\{\frac{10n/n-6/n}{2n/n-3/n}\right}\\= \lim_{n \to \infty} \left\{\frac{10-6/n}{2-3/n}\right}\\= \left\{\frac{10-6/\infty}{2-3/\infty}\right}\\= \frac{10-0}{2-0}\\= 10/2\\= 5[/tex]
Since the limit of the sequence gives a finite value, hence the sequence converges
Which of the following expressions are equivalent to -44 + 40
Option B is the correct answer.
2(-22+20)
=> -44+40
Hope it helps!
Answer:
Both of them are correct....
A bag contains 4 yellow, 2 red, and 6 green marbles. Two marbles are drawn. The first is replaced before the second is
drawn. A random variable assigns the number of red marbles to each outcome. Calculate the expected value of the random
variable.
A) 0.67
B) 0.56
C) 0.17
D) 0.33
Answer:
d
Step-by-step explanation:
Which of the following lists is in order from smallest to largest?
a) ½, ⁷/11, ⅝, ⅔
b) ½, ⅔, ⅝, ⁷/11
c) ½, ⅝, ⁷/11, ⅔
d) ⁷/11, ½, ⅝, ⅔
Answer:
C)
Step-by-step explanation:
1/2 = 0.5
5/8 = 0.625
7/11 = 0.63
2/3 = 0.66
4) The given figure shows ∆ABC. Points D,E and F are the mid-points of sides AB,AC and BC respectively. Sides AB, BC and CA measure 6 cm, 10 cm and 8 cm respectively. What is the area of ∆DEF? *
Answer:
the area of ∆DEF = 6 cm²
Step-by-step explanation:
The midpoint theorem states that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
DE // BC and DE = BC/2 = 10/2 = 5
same reason: DF = AC/2 = 4
FE = AB/2 = 3
DF² + FE² = 16 + 9 = 25 = 5² = DE²
by the Pythagorean theorem, ΔDFE is a right triangle
area ΔDEF = (3 x 4) / 2 = 6 cm²
The equation `2x - 3 = 4x + 3` is modeled above. What value of `x` makes the equation true?
pls help i have to find the mistake they made when he solved the equation
2(x + 3) = 6
2x + 3 = 6
- 3 - 3
2x = 3
+2 +2
x = 1.5
Answer:
Mistake is 2x + 3 = 6. It should be 2x + 6 = 6. Therefore x = 0
Step-by-step explanation:
2(x + 3) = 6
Expand the bracket:
2x + 6 = 6
Subtract 6 from both sides:
2x = 0
Divide both sides by 2
x = 0
Given the following diagram, find the missing measure. m 4 = 2x°, m 2 = (4/3)x°, m 3 = 20°, find x. 10 30 20 60
Answer:
B. 30 degrees
Step-by-step explanation:
Find the diagram attached
From the diagram:
Interior angles are m<3 and m<2
Exterior angle = <4
using the rule that says that the sum of interior angles is equal to the exterior angle we have:
m<2+m<3 = m<4
(4/3)x°+20 = 2x°
multiply through by 3:
4x° + 60 = 6x°
4x°-6x° = -60
-2x° = -60
x°= -60/-2
x° = 30°
Hence the value of x is 30 degrees
the function c(x)=18x-10 represents the cost in dollars. How many tickets can you buy?
Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.
So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 188 dollars.
The solution would still clear your concept though.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
[tex]c(x)=18x-10[/tex]
The slope-intercept form of the line equation
We know that the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
so
comparing with the slope-intercept form of the line equation
here:
rate of change = 18 c(x) or y represents the costand
'x' represents the number of tickets
Assuming the total cost i.e. c(x) = $188
In order to determine the value of x, set c(x) = 188
i.e.
188 = 18x -10
switch sides
188x - 10 = 170
add 10 to both sides
18x - 10 + 10 = 188 + 10
18x = 198
Divide 18 to both sides
18x/18 = 198/18
x = 11
Therefore, if you can buy x = 11 tickets if you pay 170 dollars.
.If 65+5y = 82, 3x +23= 54 and 5z +43= 110, find 3x+ 5y +5z
Step-by-step explanation:
65+5y=82
5y=82-65
5y=17
y=17/5=3.4
3x+23=54
3x=54-23
3x=31
x=31/3=10.3
5z+43=110
5z=110-43
5z=67
z=67/5=13.4
3x+5y+5z3.
3(3.4)+5(10.3)+5(13.4)
10.2+51.5+67
128.7
This line graph shows the temperature in London over a period of time.
What is the temperature in London at 2pm?
Answer:
draw a straight line from x point of 2pm up to the line. Then what is the y point of it?
Ill give you an example, for 4pm it's 13C. For 8pm it's 6C. For 9pm it's 8C.
Let me know what you get. And I'll let you know whether it's right or not
Which value is NOT a solution of the inequality -2x + 5<7?
-3
5
7
1
HELP PLEASE
Answer:1
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
-2*x+5-(7)<0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
-2x - 2 = -2 • (x + 1)
Equation at the end of step
1
:
STEP
2
:
2.1 Divide both sides by -2
Remember to flip the inequality sign:
Solve Basic Inequality :
2.2 Subtract 1 from both sides
x > -1
Inequality Plot :
2.3 Inequality plot for
-2.000 X - 2.000 > 0
One solution was found :
x > -1
Answer:
its 1, i think...
Step-by-step explanation:
If they are asking which one would equal to -2x+5<7 just combine like terms by moving the 5 to the 7 and get 7-5=2. So -2x=2, then 2/-2 is -1. Basically the answer is x=-1. But it seems like thats not a choice...