The required expression in terms of logarithm of prim numbers are;
[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]
[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]
Prime numbers are numbers that can only be divisible by 1 and itself.
From the given logarithmic expression, we will need to write 405, 8, and 81 as the product of prime numbers
405 = 3 * 3 * 3 * 3 * 5
405 = 3^4 * 5
8= 2* 2 * 2
8 = 2^3
81 = 3 * 3 * 3 * 3
81 = 3^4
The logarithm expression [tex]log_4405 \ and \ log_7(\frac{8}{81} )[/tex] can be expressed in terms of prime numbers as;
[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]
Similarly;
[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]
Learn more here: https://brainly.com/question/23004769
Graph the following features: Slope = 4 Y-intercept = 4
Answer:
Step-by-step explanation:
Equation of the line
[tex]\\ \sf\longmapsto y=mx+b[/tex]
m=4b=4[tex]\\ \sf\longmapsto y=4x+4[/tex]
A circle has radius 1 unit. What percent of its area lies outside of the circle with the same center and a radius of 1/2?
Answer:
(3/4)pi
Step-by-step explanation:
Find the areas of the two circles and then subtract the smaller from the larger:
A of circle = (pi)r^2
Case 1: r = 1 unit: A = (pi)(1) = pi
Case 2: r = 1/2 unit: A = (pi)(1/2)^2 = pi/4
The area lying outside of the smaller circle is therefore (pi) - (pi)(1/4) = (3/4)pi
What is 9% as a fraction or mixed number in simplest form?
Answer:
9/100
Step-by-step explanation:
9×100 = 9/100 I think
What number is 73% of 14.6
Answer:
10.658
hope it helps
Answer:
10.658
Step-by-step explanation:
14.6 = 100%
? = 73%
73% ÷ 100% x 14.6
= 10.658
10.658 = 73%
a
Lucy has a coin collection. She keeps 3 of the coins in her box, which is 25% of the
collection. How many total coins are in her collection?
Multiply/scale up to solve.
coins
3
25
100
percent
Answer:
3x4=12
12 coins in her collection
Step-by-step explanation:
25x4=100%
It takes Martin 20 minutes to walk 5 laps around the school track what is the unit rate that Martin walk around the school track
Answer:
4 minutes per lap
Step-by-step explanation:
20/5 is 4
I'll also give brainliest to the first to answer
1+1=x
A) x=1
B) x=2
C) x=3
D) x=4
Answer:
B) x = 2
Step-by-step explanation:
1 + 1 = x
2 = x
1 + 1 = 2
sorry last one!!
3 × x[tex]x^{2}[/tex] × y × 4z × x × 2y × z
[tex]\red{\bold{Answer:}}[/tex]
z1 Multiplied by z1 = z(1 + 1) = z2
[tex]\color{skyblue}{\boxed{\tt{Final\:Answer}}}[/tex]
= (3•2³x3y2z²)
A parking garage charges $5. 50 to park for 4 hours and $7. 75 to park for 7 hours. If the cost is a linear function of the number of hours parked, what is the cost to park for 3 hours? $2. 25 $2. 50 $3. 25 $4. 75.
Step-by-step explanation:
So we are given 2 coordinates.
so in a linear equation, we have the given function:
y=mx+b
thus we should have an x value and a y value.
So let's set x to be the hours and y be the cost
With 2 sets of coordinates, we can solve for the slope (m in the function) of the function using rise/run or y1-y2/x1-x2
so with that being said,
7.75-5.5/7-4=m
2.25/3=m
.75=m
This is our slope.
Our formula will look like this: y=0.75x
Now we can determine how much it will cost in 3 hours by changing x to be 3 since x is the number of hours parked
y=0.75(3)
y=2.25
The cost to park for 3 hours will be $2.25
Hope This Helps :D
Two sisters share an inheritance of $1 million by a ratio of 2:3. How much does each sister inherit
Answer:
$400,000 and $600,000
Step-by-step explanation:
2x = one sister amount
3x = the other sister amount
Total money = $1,000,000
5x = 1,000,000
x = 1,000,000/5
x = 200,000
2x = 2(200,000) = $400,000
3x = 3(200,000) = $600,000
Check: one sister amount + the other sister amount = $1, 000,000
$400,000 + $600,000 = $1,000,000
ratio 2:3=2+3=5
so the first sisters share is
(2/5×1,000,000)
=200,000×2
=400,000.....thats the first sisters share
so....the second sister's share is
(3/5×1,000,000)
=3×200,000
=600,000.....thats the second sisters share
and to check if your answer is correct
you can add both of their shares
600,000+400,000=1,000,000.
solve pls brainliest
Answer:5868<9845<91387<969156
Step-by-step explanation:
How do I rewrite the following expression is there a form 1/4 (4x+8) please help me it’s gonna help my grade
Answer:
You can expand this with this rule:
[tex]a(b+c)=ab+ac[/tex]
Similarly,
[tex]\frac{1}{4}(4x+8) =\frac{1}{4}*4x+\frac{1}{4}*8[/tex]
[tex]\frac{1}{4}*4x+\frac{1}{4}*8=x+2[/tex]
one angle of a right triangle measures 80degrees.what is the measure of the other acute angle
Answer:
10°Step-by-step explanation:
the sum of the internal angles of a triangle is 180 °, it is a right triangle so an angle is 90 °, you know another one and it is 80 °, from 180 ° you remove the two known angles and you have the measure of the unknown one.
180 - 90 - 80 =
10°
(23+7)×4
=
+7×4
=
×4
=
Answer:
Step-by-step explanation:
i showspeed
Can someone plz help
Answer:
y=mx+b
Step-by-step explanation:
point slope form
A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?
f(x) = 24(Three-halves) Superscript x minus 1
f(x) = 16(Three-halves) Superscript x minus 1
f(x) = 24(Three-halves) Superscript x
f(x) = 16(Three-halves) Superscript x
Answer:
f(x) = 16*(3/2)^(x-1)
Step-by-step explanation:
See attachment.
Answer:
B
Step-by-step explanation:
the person who answes my question can u stay because i have more thankyou
Answer:
c. 60 mins
Step-by-step explanation:
12 * 5 = 60
15 * 4 = 60
What is the sun's approximate azimuth when it sets? PLEASE ANSWER I GIVE BRAINLIEST AND 20 POINTS PLEEEEEAAAAAASSSSSEEEEE!!
Answer:
At the equinoxes, the sun rises directly east and sets directly west regardless of the latitude, thus making the azimuth angles 90° at sunrise and 270° at sunset. ... The azimuth angle is like a compass direction with North = 0° and South = 180°.
Step-by-step explanation:
4−(−8)= please help i need it now
Answer:
Step-by-step explanation:
Use the quadratic formula to solve x2 – 3x - 2 = 0
Answer:
C
Step-by-step explanation:
C
Answer:
c
Step-by-step explanation:
c is the answer to this problem
7990 was rounded to the nearest ten. What is the lower bound?
Here we will tell you what 7990 is rounded to the nearest ten and also show you what rules we used to get to the answer.
Remember, we did not necessarily round up or down, but to the ten that is nearest to 7990.
First, 7990 rounded to the nearest ten is:
7990
first to answer get brainliest thankss :)
Answer:
47
Step-by-step explanation:
First, we find angle 2. It is a supplementary angle with that 104 exterior so we take 180-104=76. Angle 2 is 76.
Now that we have two angles of the triangle, we can set up the equation:
76+57+x=180
we have 180 because all three angles of any triangle equal 180.
solving for x:
simplify the equation, (x)+(76+57)=180
combine like terms, x+133=180
Subtract 133, 180−133=47
x=47.
Marty's class collected $38.00 in a school-wide penny collection contest. If Tommy's class added $8.00 to the amount they collected, x, and then multiplied the sum by 2, they would have the same amount of money as Marty's class. how much money did tims class collect
Answer: $11
Step-by-step explanation:
To have the same:
11+8=19
19×2=38
Answer:
It would be $11
Step-by-step explanation:
Hope it helps (Could you mark brainliest please)
What is the slope of this graph? m=[slope)
100
80
60
Number of cups
40
20
16
20
8 12
Sugar (pounds)
Answer:
Step-by-step explanation:
If the ratio of two numbers is 8 : 1, the smaller number is what fractional ... 20. 80 m to 16 m. 21. 75 g to 100 g. 22. 36 cm to 72 cm. 23. 54 g to 90 g there you go hope it helps
832.078107648 to the nearest whole number.
The length of a rectangle is (2x + 1). The width of the rectangle (x2+ 2x - 1). Which expression represents the area of the rectangle?
Answer:
Area = 2x³ + 5x² - 1
Step-by-step explanation:
Given the length of a rectangle, (2x + 1), and its width of (x² + 2x - 1):
The formula for solving the area of a rectangle is given by:
Area of a rectangle = Length × Width
In order to solve for the area of a rectangle, simply multiply the given length by the width.
length (L) = (2x + 1)
width (W) = (x² + 2x - 1)
A = L × W
A = (2x + 1)(x² + 2x - 1)
Distribute the binomial, (2x + 1), into the trinomial, (x² + 2x - 1):
A = 2x³ + 4x² - 2x + x² + 2x - 1
Combine like terms:
A = 2x³ + 5x² - 1
Therefore, the area of a rectangle is: 2x³ + 5x² - 1.
At 6 a.m. the temperature was -9oF. By 11 a.m., the temperature had increased 34oF. What was the temperature at 11 a.m.?
The resulting temperature was 25oF.
Nikola buys a bouquet of 8 sunflowers for $18
what is the cost for 1 sunflower?
Find five rational numbers between ⅗ and ⅘.
Answer:
2/3, 3/4, 7/10, 11/17, 13/17
Step-by-step explanation:
".
Measure these angles.
a)
b)