Answer: [tex]\log_2(20)[/tex]
Work Shown:
[tex]\log_2(4) + \log_2(5)\\\\\log_2(4*5)\\\\\log_2(20)\\\\[/tex]
The rule used is [tex]\log_{b}(\text{x}) + \log_{b}(\text{y}) = \log_{b}(\text{xy})[/tex]
[tex]\large{\textbf{Heya !}}[/tex]
✏[tex]\large\sf{\bigstar Given:-}[/tex] ✏
㏒ expression = [tex]\sf{\log_24+\log_25}[/tex]✏[tex]\large{\sf{\bigstar To\quad Find:-}[/tex] ✏
Condense the ㏒ into ONE expression - ?✏[tex]\large{\sf{\bigstar Solution\quad steps:-}[/tex]
`To find what we want we need to apply ㏒ rules
[tex]\large{\sf{\longmapsto{log_ba+log_bc=log_b(ac)}[/tex]
using formula,
[tex]\large{\sf{\longmapsto{log_24+log_25=log_2(4\cdot5)}[/tex]
simplifying,
[tex]\large{\sf{\longmapsto{log_220}[/tex]
`hope it was helpful ! ~
4r - 9 = 7r can you help solve
Answer:
r=4 :)
Step-by-step explanation:
please help these two questions show working
thank you :)
Answer:
a) The acceleration between 20 and 40 seconds is equal to the slope in that range.
Remember that for aline that passes through the points (a, b) and (c, d) the slope is:
slope = (d - b)/(c - a)
In this case we can see the points:
(20s, 2m/s) and (40s, 4m/s)
Then the slope (and thus the acceleration) is:
slope = (4m/s - 2m/s)/(40s - 20s) = (2m/s/20s) = 0.1 m/s^2
The acceleration between 20 seconds and 40 seconds is 0.1 m/s^2
b) The total distance travelled is equal to the area under the curve.
So we could just count the number of squares, this is the easy way.
We can see that each square measures 10 seconds by 1 m/s, then the "area" of each square represents:
a = (10s)*(1m/s) = 10m
This means that each square represents a distance of 10 meters.
We can count that:
between 0s and 10s we have 1 whole square.
between 10s and 20s we have 2 whole squares.
between 20s and 30s we have 2 and half squares.
between 30s and 40s we have 3 and half squares.
Then the total number of squares under the curve is:
1 + 2 + 2.5 + 3.5 = 3 + 2.5 + 3.5 = 3 + 6 = 9
So we have 9 whole squares under the curve, and each square represents a distance of 10 meters, so the total distance traveled is:
Distance = 9*10m = 90m
c) We have an isosceles triangle where we know that one side measures 8.2 cm and another side measures 9.4cm
An isosceles triangle has two equal sides and one different.
So if we want to have the maximum perimeter, the two equal sides must have the longest side length (9.4 cm)
Then the (largest) perimeter of the triangle (the sum of the lengths of all 3 sides) is:
8.2cm + 9.4cm + 9.4cm = 27cm
I generally need help
Answer:
24 units²
Step-by-step explanation:
4(12)/2=24
I know this is easy but I got a diff answer so pls help. Worth 5 points
Step-by-step explanation:
[tex] \frac{5}{8} \times \frac{3}{2} \div \frac{15}{16} \\ \frac{15}{16} \times \frac{16}{15} \\ = 1[/tex]
Answer:
1
Step-by-step explanation:
5/8 x 1 1/2 / 15/16 = 1 (5/8 / 15/16 = 2/3, 2/3 x 1 1/2 =1 )
i need help pls i don't know what to do at all pls help
Answer:
Add all the outer lines and they may add up to be the perimeter, if you need the area multiply 4 times 8 and add that to 5.6*4/2 +4.5*4/2 plus four times eight
Step-by-step explanation:
Answer:
I remember these form when I was like 10 but ok.
Step-by-step explanation:
pretty sure you multiply the base times the height. But first you have to take out all triangwkes which leaves you with two of them.
so 8x4 for the top one and then 14x4.5 for the bottom one.
then for the triangles the one on the left is 5.6x4
the right one is 4.5x14
then divide both triangles answers into two. That should be the triangle areas. Then add the two triangles pieces together.
once don’t add the squares areas with the triangles and that’s THE AREAAAA
im sry I’m a lil rusty so if it’s wrong pwease forgive me :/
I need help pleaseeeeee
Given:
[tex]\Delta MAT\cong \Delta MHT[/tex] and [tex]m\angle 2=82^\circ[/tex].
To find:
Whether [tex]m\angle 1=47^\circ[/tex] is possible or not.
Solution:
We have,
[tex]\Delta MAT\cong \Delta MHT[/tex]
[tex]\angle AMT\cong \angle HMT[/tex] (CPCTC)
[tex]m\angle 3=m\angle 8[/tex] ...(i)
And,
[tex]m\angle 1=m\angle 8[/tex] ...(ii) (Vertically opposite angles)
From (i) and (ii), we get
[tex]m\angle 1=m\angle 3[/tex] ...(iii)
Now,
[tex]m\angle 1+m\angle 2+m\angle 3=180^\circ[/tex] (Linear pair)
[tex]m\angle 1+82^\circ+m\angle 1=180^\circ[/tex] (Using (iii))
[tex]2m\angle 1=180^\circ-82^\circ[/tex]
[tex]2m\angle 1=98^\circ[/tex]
Divide both sides by 2.
[tex]m\angle 1=\dfrac{98^\circ}{2}[/tex]
[tex]m\angle 1=49^\circ[/tex]
The measure of angle 1 is 49 degrees so it cannot be equal to 47 degrees.
Therefore, the required answer is "no", the given statement [tex]m\angle 1=47^\circ[/tex] is not possible.
What is the area of the composite figure?
65 cm2
52.5 cm2
40 cm2
60 cm2
Answer:
65 cm²
Step-by-step explanation:
follow for more on my id
Answer:
65 cm I just took the test
Step-by-step explanation:
someone pls help me 10 points
What is the surface area of this right rectangular prism?
Enter your answer in the box.
in²
A rectangular prism with a length of 3 inches, a width of 1 inch, and a height of 2 inches.
Answer: Here's what I got:
Step-by-step explanation:
Is this what you wanted? My answer is A=22in²
Here's how I got it:
A=2(wl+hl+hw)=2·(1·3+2·3+2·1)=22in²
This was right? Make sure to like and rate! Appericate it.
Answer:
A=22in²
Step-by-step explanation:
A=2(wl+hl+hw)=2·(1·3+2·3+2·1)=22in²
11w+5w-1=65w-36
Ayuden poniendo tambien el procedimiento plis
Answer:
w=1.4
Step-by-step explanation:
11w+5w-1=65w-36
16w-1=65w-36
16w-65w= -36+1
-49w= -35
w= -35/-49
w= 1.4
Another math problem
Answer:
sorry no se la respuesta
Evaluate the expression 30 + 10 -10
12 = 6y - 36
Solve for y
Answer:
y=8
Step-by-step explanation:
add 36 to 12. then divide 48 (the result) by 6 to get 8
Answer:
Y=8
Step-by-step explanation:
12 = 6 x y - 36
12=6 x 8 - 36
12 = (6x8) - 36
12 = 48 - 36
Y= 8
Hope this helps
Mark brainliest if it helps.
expand using exponential form a.) 1492.034 b.) 1200.36
Answer:
Step-by-step explanation:
Expanded Exponential Form:
1,492.034 =
1 × 10^3
+ 4 × 10^2
+ 9 × 10^1
+ 2 × 10^0
+ 0 × 10^-1
+ 3 × 10^-2
+ 4 × 10^-3
Expanded Exponential Form:
1,200.36 =
1 × 10^3
+ 2 × 10^2
+ 0 × 10^1
+ 0 × 10^0
+ 3 × 10^-1
+ 6 × 10^-2
What is the y intercept and slope??
Answer:
y = .5x+30
Step-by-step explanation:
[tex]m= \frac{y2-y1}{x2-x1}[/tex]
hope this helps, good luck :)
Ahh- yes—- I need help, again-
PLEASE HELP!!!!
If angles P and Q are complementary, which statement about the two angles is true?
P and Q are opposite facing.
P and Q add up to 90°.
P and Q are always adjacent.
P and Q sum to 180°.
Answer:
P and Q add up to 90°.
Step-by-step explanation:
Three runners in a relay race share the 8-mile distance equally. How many miles does each runner travel?
Answer: 2 2/3 miles
Step-by-step explanation:
From the question, we are informed that three runners in a relay race share the 8-mile distance equally.
The number of miles that each runner travel will be the total miles divided by number of runners. This will be:
= 8/3
= 2 2/3 miles
A boat which moves a 15 miles per hour without a current goes 36 miles upstream and 36 miles back in 5 hours. Find the speed of the current
Answer:
3 mph
Step-by-step explanation:
UPSTREAM:
distance = 36 miles ;
Speed = 15-c mph ;
TIME, t = distance / speed = 36/(15-c)
Downstream :
distance = 36 miles ;
speed = 15+c mph ;
time, t = 36/(15+c)
upstream time + downstream time = 5 hrs
36/(15-c) + 36/(15+c) = 5
36(15+c) + 36(15-c) = 5(15-c)(15+c)
1080 = 5(225 - c²)
1080 / 5 = 225 - c²
216 = 225 - c^2
216 - 225 = c²
-9 = c²
c = 3
What does this add up to 5/27 + 1/27 =
Answer:
6/27
Step-by-step explanation:
Answer:
2/9
Step-by-step explanation:
5/27+1/27=6/27
reduced to lowest denominator
(divide top & bottom by 3)
2/9
Justin is evaluating the expression 12.5 + 3.8 x, when x is 7.9. 12.5 + 3.8 (7.9). 16.3 (7.9). 128.77. What was Justin's error? Justin should have multiplied 12.5 and 7.9 first. Justin should have added 12.5 and 7.9 first. Justin should have multiplied 3.8 and 7.9 first. Justin should have added 3.8 and 7.9 first.
Answer: Justin should have multiplied 3.8 and 7.9 first.
Step-by-step explanation:
Given the equation
12.5 + 3.8x
where, x = 7.9, the first thing that Justin's should have done was to multiply 3.8 and 7.9 first. This will be:
= 12.5 + 3.8x.
= 12.5 + 3.8(7.9)
= 12.5 + 30.02
= 42.52
Answer: (C) Answer: Justin should have multiplied 3.8 and 7.9 first.
Step-by-step explanation: Read person above(just making sure it's correct)
How much would a house cost today if it cost $100,000 2 years ago before a 4% increase each year in housing prices?
Answer:
100000 × 1.04 × 1.04
Step-by-step explanation:
108160
Hey can someone please help me with this
Answer:
Esteban
Step-by-step explanation:
Which description best fits the graph?
decreasing, then increasing
always increasing
increasing, then decreasing
always decreasing
Evaluate the expression when x = 2.5 and y = 6.
5xy
Answer:
75
Step-by-step explanation:
5(2.5)(6)
5*2.5*6
=75
Answer:
75
Step-by-step explanation:
5*(6x2.5)
6x2.5=15
15x5=75.
A rectangular playground has an area of 3,162 square meters. If the width of the rectangle is 51 meters, find the length.
Answer:
Step-by-step explanation:
30 is 85 percent of what number?
Divide 30 by 85%
30/0.85 = 35.29411765
Answer:
35 5/17 or 35.29411765
Step-by-step explanation:
30 times 100 divided by 85
In the figure below, m1 =x and m2= x-8. Which statement could be used to prove that x =49?
Answer:
C. m∠1 +m∠2 = 90
Step-by-step explanation:
Do the ratios 4/2 and 10/5 form a proportion? Yes or no
Answer:
These are both 20 so that means that this is proportional, yes.
Step-by-step explanation:
Hi.
To figure this out we can do something called cross multiplying to find a cross product. If we do this and our two answers are equal then it is indeed a proportion.
Here is how we do this.
[tex]\frac{4}{2}[/tex] [tex]\frac{10}{5}[/tex]
So basically what we are doing is multiplying across in a diagonal direction.
Diagonal meaning like a slash / .
So in this case we would multiply the 4 and the 5 , since they're diagonal from each other.
Do the same for the 2 and the 10.
So we have to multiply :
4 x 5
2 x 10
=
20
These are both 20 so that means that this is proportional, yes.
Hope this helps.
If you have any questions or concerns feel free to message me.
Yes the ratios 4/2 and 10/5 form a proportion.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
To figure this out we can do something called cross multiplying to find a cross product. If we do this and our two answers are equal then it is indeed a proportion.
4/2, 10/5
So basically what we are doing is multiplying across in a diagonal direction.
Diagonal meaning like a slash.
So in this case we would multiply the 4 and the 5 , since they're diagonal from each other.
Do the same for the 2 and the 10.
So we have to multiply :
4 x 5
2 x 10
=20
Hence these are both 20 so that means that this is proportional, yes.
To learn more about Ratios click:
https://brainly.com/question/26974513
#SPJ2
3
Michael split
pounds of candy among 8 people.
What is the unit rate in pounds per person?
Write your answer in simplest form.
Answer:
1/8
Step-by-step explanation:
The question is incomplete, here is the complete question
Michael split 3/4
pounds of candy among 8 people.
What is the unit rate in pounds per person?
Write your answer in simplest form
SOLUTION:
Micheal splits 3/4 candy among 8 people
Therefore the unit rate per pounds per person can be calculated as follows
= 3/4 ÷ 8
= 3/4 × 1/8
= 3/24
= 1/8
Hence the unit per pound per person is 1/8