40 points and brainliest to the best correct answer, questions in photo.
Please do and explain numbers 2, 4, 6, and 8, thank you.
Answers
Answer:
2. w = -3
4. c = -2
6. r = 7
8. n = 4
Step-by-step explanation:
It's hard to read the photo, but I'll try.
2.
[tex] 2^{w + 4} \times 2^{4w + 6} = 2^{2w + 1} [/tex]
On the left side, you have a product of 2 powers with the same base.
Give the same base and add the exponents, as in the rule
[tex] a^m \times a^n = a^{m + n} [/tex]
You get on the left side 2 to the sum of the exponents.
[tex] 2^{w + 4 + 4w + 6} = 2^{2w + 1} [/tex]
Simplify the long exponent on the left side.
[tex] 2^{5w + 10} = 2^{2w + 1} [/tex]
Now we have another rule we can use. If two powers are equal, and their bases are equal, then the exponents must be equal.
Here, 2 to the power 5w + 10 equals 2 to the power 2w + 1. Since both bases are 2 and are equal, then the exponents must be equal.
5w + 10 = 2w + 1
Subtract 2w from both sides. Subtract 10 from both sides.
3w = -9
Divide both sides by 3.
w = -3
4.
[tex] \dfrac{1}{5} = 5^{2c + 3} [/tex]
We need to write the left side as a power of 5. Then we equate the exponents like we did in problem 2.
Recall the rule:
[tex] a^{-n} = \dfrac{1}{n} [/tex]
Apply this rule to the left side in reverse.
[tex] 5^{-1} = 5^{2c + 3} [/tex]
Now we have two powers that are equal, both having the same base, 5, so the exponents must be equal.
2c + 3 = -1
2c = -4
c = -2
6.
[tex] 216 = 6^{2r - 11} [/tex]
This is the same idea as problem 4. Write the left side as a power of 6.
[tex] 6^3 = 6^{2r - 11} [/tex]
[tex] 2r - 11 = 3 [/tex]
[tex] 2r = 14 [/tex]
[tex] r = 7 [/tex]
r = 7
8.
[tex] 4^{n} \times 4^{2n - 9} = 64 [/tex]
This problem is similar to problem 2.
[tex] 4^{n + 2n - 9} = 4^3 [/tex]
[tex] 4^{3n - 9} = 4^3 [/tex]
3n - 9 = 3
3n = 12
n = 4
Related Questions
Number 9
HW
I need help
Answers
girls to boys
[tex]36 \div 42 = 6 \div 7[/tex]
6:7boys to girls
[tex]42 \div 36 = 7 \div 6[/tex]
7:6Explain the equivalence of 7 divided by 2 and 7/2 using words
Answers
Answer:
both 7÷2 and 7/2 are symbols of division, as you can see the ÷ symbol has a dividing line between the denominator dot and the numerator dot. 7/2 is just 7 divided In two parts and so it 7÷2
Step-by-step explanation:
hope this helps!!
An engineer stands 30 ft. from a building and notes a 55 degree angle of elevation to the top of the building. How high is the building? Round your answer to 1 decimal place.
Answers
Work Shown:
h = height of the building
h is opposite the reference angle (55)
the adjacent side is 30 feet
tan(angle) = opposite/adjacent
tan(55) = h/30
h = 30*tan(55)
h = 42.84444 which is approximate
h = 42.8 feet
HELPP NOWW!!!!!!!!
A certain brand of crackers costs $2.89 for 12.4 ounces.
What is the unit rate?
Enter your answer, rounded to the nearest cent, in the box.
$__per oz
Answers
Answer:
0.23 per ounce
Step-by-step explanation:
2.89 / 12.4 = 0.23 per ounce
The unit rate of the crackers is $0.233 per ounce of crackers.
What is Unit Rate?Unit rate is the amount of one quantity for a unit amount of the other quantity.
In other words it compares 1 unit of some quantity with different amount of another quantity.
Given that,
A certain brand of crackers costs $2.89 for 12.4 ounces.
We have to calculate the unit rate.
Cost for 12.4 ounces of the crackers = $2.89
Let the cost for 1 ounce of the crackers = x
Using the proportionality,
12.4 / 1 = 2.89 / x
Cross multiplying,
12.4 x = 2.89
Dividing both sides by 12.4,
x = 2.89 / 12.4
x = $0.233
Hence the unit rate is $0.233 per ounce of crackers.
Learn more about Unit Rate here :
https://brainly.com/question/29781084.
#SPJ7
Find the value of x.
If necessary, you may learn what the markings on a figure indicate.
Answers
Answer:
x = 36
Step-by-step explanation:
The two markings mean the sides are congruent. The triangle with two congruent sides is an isosceles triangle. According to base angle theorem (only applicable to isosceles triangles), the two base angles are equal.
The angle adjacent to x is 27.
The sum of all angles in a triangle is 180
We can create an equation using parts whole postulate (PWP.)
x + 27 + 27 + 90 = 180
x + 54 + 90 = 180
x + 144 = 180
x = 36
Hope this helps :)
Have a great day!
Can someone explain this? Plzzzz
Answers
The value is approximate. Round it however you need to.
====================================================
Explanation:
x = number of years
y = cost
The teacher wants to know what value of x will make y = 2500.
Plug it in and solve for x.
y = 134.02x + 655.40
2500 = 134.02x + 655.40
2500-655.40 = 134.02x
1844.6 = 134.02x
x = 1844.6/134.02
x = 13.7636 approximately
Somewhere between year 13 and 14 is when the price should be $2500. This is of course based on the regression line estimate which isn't perfect.
One person has 4 carrots. Another person has 3 carrots. How many carrots do they have all together?
Answers
Answer:
7 carrots all together
Step-by-step explanation:
4+3=7
Write the equation in slope-intercept form that has a x-intercept of 30 and a y-intercept of 15
Answers
Answer:
[tex]\displaystyle y = -\frac{1}{2}\, x + 15[/tex].
Step-by-step explanation:
All non-horizontal line in the cartesian plane intersects the [tex]x[/tex]-axis at a unique point. The [tex]x\![/tex]-coordinate of that point is the [tex]\! x[/tex]-intercept of this line.
The [tex]x[/tex]-intercept of the line in this question is [tex]30[/tex]. Thus, the [tex]x\![/tex]-coordinate of the intersection of this line and the [tex]\! x[/tex]-axis would be [tex]30\![/tex].
Like all other points on the [tex]x[/tex]-axis, the [tex]y\![/tex]-coordinate of that intersection would be [tex]0[/tex]. Therefore, the coordinates of that intersection would be [tex](30,\, 0)[/tex].
Similarly, the [tex]y[/tex]-intercept of a non-vertical line is the [tex]y\![/tex]-coordinate of the point where that line intersects the [tex]y\!\![/tex]-axis.
The slope-intercept form of a line is in the form [tex]y = m\, x + b[/tex], where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the [tex]y[/tex]-intercept of this line. Both [tex]m\![/tex] and [tex]b\![/tex] are constants.
It is given that the [tex]y[/tex]-intercept of the line in this question is [tex]15[/tex]. Therefore, [tex]b = 15[/tex]. The slope-intercept equation of this line would be [tex]y = m\, x + 15[/tex] for some slope [tex]m[/tex] to be found.
All points [tex](x,\, y)[/tex] on this line should satisfy the equation [tex]y = m\, x + 15[/tex] of this line. The [tex]x[/tex]-intercept of this line, [tex](30,\, 0)[/tex], is a point on this line. Thus, the equation [tex]y = m\, x + 15\![/tex] should hold for [tex]x = 30[/tex] and [tex]y = 0[/tex]. Substitute these two values into the equation and solve for the slope [tex]m[/tex]:
[tex]0 = 30\, m + 15[/tex].
[tex]\displaystyle m = -\frac{1}{2}[/tex].
Therefore, the slope-intercept equation of this line would be:
[tex]\displaystyle y = -\frac{1}{2}\, x + 15[/tex].
Aroon is asked to choose five integers so that the mode is 2 more than the median and the mean is 2 less than the median.
What is the largest possible value of the range of Aroon's five integers?
Answers
The relation between Mean, Median and mode is given by
Mode= 3 Median - 2Mean---- equation1
According to the given condition
Mode= 2+median ----- equation 2
Putting equation 2 in equation 1
2+median= 3 Median - 2Mean
2 Mean= 3 Median - 2- Median
2 Mean= 2 Median - 2
Mean= Median-1
Mean- Median=1--------Eq. A
According to the second condition
Median- Mode=-2-----------eq. 3
Putting eq. A in eq. 3
Mean -1 - Mode=-2
Mean- Mode=-1
or
Mode- Mean=1------equation 4
Adding equation A and equation4
Mode- Mean=1
Mean- Median=1
Mode+ Median =2------- equation5
Again Putting equation2 in equation 5
2+median + Median =2
2 Median =2-2
2 Median =0
Median=0
Mean= 0-1
Mean= 0-1=-1
Mode- Mean=1
Mode-(-1)=1
Mode=0
Putting values in the formula of mean
x bar =∑x/5
(-1)5 = 0+0+ x1+x2+0
-5= x1+x2
So the highest value is 0.
Learn more about mean here
https://brainly.com/question/542771
https://brainly.com/question/14532771
Find the area of the quadrilateral EASY given in the adjoining figure.
Answers
Answer:
The area of quadrilateral EASY is 24 cm².
Step-by-step explanation:
Here's the required formula to find the area of quadrilateral EASY :
[tex]\longrightarrow{\pmb{\sf{Area_{(Quadrilateral)} = \dfrac{d}{2}\Big(h_1 + h_2\Big)}}}[/tex]
[tex]\pink\star[/tex] d = 6 cm[tex]\pink\star[/tex] h₁ = 5 cm[tex]\pink\star[/tex] h₂ = 3 cmSubstituting all the given values in the formula to find the area of quadrilateral EASY :
[tex]\longrightarrow{\sf{Area_{\tt(EASY)} = \dfrac{d}{2}\Big(h_1 + h_2\Big)}}[/tex]
[tex]\longrightarrow{\sf{Area_{\tt(EASY)} = \dfrac{6}{2}\Big(5+3\Big)}}[/tex]
[tex]\longrightarrow{\sf{Area_{\tt(EASY)} = \cancel{\dfrac{6}{2}}\Big( \: 8 \: \Big)}}[/tex]
[tex]\longrightarrow{\sf{Area_{\tt(EASY)} =3\big( \: 8 \: \big)}}[/tex]
[tex]\longrightarrow{\sf{Area_{\tt(EASY)} =3 \times 8}}[/tex]
[tex]\longrightarrow{\sf{Area_{\tt(EASY)} =24 \: {cm}^{2}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Area_{\tt(EASY)} =24 \: {cm}^{2}}}}}}[/tex]
Hence, the area of quadrilateral EASY is 24 cm².
[tex]\rule{300}{2.5}[/tex]
9 less than the product is 7 and x is 75..
Answers
A culture of bacteria cells quadrupoles every hour. If in the beginning there are
800 bacteria cells, how many will there be after 9 hours?
Answers
When can you use the square roots of perfect squares to determine the perfect roots of decimals ?
Answers
Example
Approximate the value of sqrt20
Pick the 2 closest perfect squares, one before and one after 20:
16 and 25.
So, the square root of 20 has to be between 4 and 5.
Since 20 is closer to 16 than it is to 25,
We can estimate the decimal value of sqrt20 to be around 4.4
Which graph represents this equation?
5y = x + 5
Answers
#3 i
Find the area of the figure.
5.2 ft
6.5 ft
3.9 ft
10.4 ft
The area is
square feet.
Answers
Answer:
77.74 square feet
Step-by-step explanation:
1. We have to keep the triangle and the rectangle apart and find the area of each separately then add the areas together.
The formula for the area of a rectangle is height x width = area
So, 6.5 feet x 10.4 feet = 67.6 feet squared
The formula for the area of a triangle is height x width x (1/2) = area
So, 5.2 feet x 3.9 feet x (1/2) = 10.14 feet squared
Now, add the two areas together.
10.14 square feet + 67.6 square feet = 77.74 square feet
Answer: 77.74 square ft
Step-by-step explanation:
first do the rectangle. 10.4 times 6.5. then traiangle(b times height divided by 2). then add them together.
i cant do this someone tryin to help
Answers
Answer:
shame man
Step-by-step explanation:
I WISH I COULD HELP
Is 0.5 greater than 0.59: PLEASE ITS DUE TODAY AND I HAVE TO TURN IT IN TODAY
Answers
Answer:
No.Step-by-step explanation:
Let's see this in fraction form:
Simplified:
0.5 = 5/100.59 = 59/1000.5 = 50/10059/100 has a 9 digit in the hundreths:
Equation:
50/100 < 59/1000.5 < 0.59.Please help will give brainliest.
Answers
Answer:
you have a 25% chance of 3 and a 75% chance of greater than 1
Step-by-step explanation:
3 is only 1/4 of the cirlce meaning your chance of landing on it is 1/4 of the time which is 25%.
greater than 1 is 3/4 of the circle meaning you have a 3/4 chance wish is 75%
1/4 x 3/4 = 3/16.
So, the correct answer is 3/16.
A spinner with 10 equally sized slices has 10 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellow slice?
Write your answer as a fraction in simplest form.
Answers
Answer:
1/10
Step-by-step explanation:
there are 10 slices, so if the probability of it landing on one of them is 1/10
So, your task this week is a maths problem;
The distance between Exeter and London is 175 miles. Sam left Exeter at 10:00 on Tuesday for London. Morgan left London for Exeter at 13:00 the same day. They travelled on the same road. Up to the time when they met, Sam's average speed was 25 miles per hour, and Morgan's average speed was 35 miles an hour.
At what time did Sam and Morgan meet?
Answers
Answer: Sam and Morgan met up at 18:00. Sam left Exeter at 10:00, and was on the road for 7 hours. I know this because 175 / 25 = 7. 10:00 + 7:00 = 17:00 meaning Sam got there at 17:00. Morgan on the other hand left at 13:00 and had an average speed of 35 mph. 175/35=5. 13:00 + 5:00 = 18:00. By 18:00 both Sam and Morgan had arrived in London thus 18:00 us your answer.
Step-by-step explanation:
35
28
=
20
m
i need it done asap the asingmentis do today i dont want to fail math class
Answers
HELP! THIS IS DUE IN 30 MINUTESSS
Answers
Answer:
Base: 3 cm
Height: 7 cm
Step-by-step explanation:
The area of a parallelogram is base × height = area. We're given the area of the parallelogram as 21 cm^2 and the height as 7 cm.
base × 7 = 21This means that the base must be 3 cm because 3 × 7 = 21.Have a lovely rest of your day/night, and good luck with your assignments! ♡
-3=z-8
Help me solve this equation
Answers
Answer: 5 = z
Step-by-step explanation: You just need to isolate z to find out what it is equal to. So you simply just add 8 from both sides and z is equal to 5.
or, -3=z-8
or, -3+8=z
or, z=5 Ans.
Selling tickets to a
performance. On
the first day of ticket sales the
school sold 8 adult tickets
and 13 student tickets for a
total of $176. The school took
in $68 on the second day by
selling 4 adult tickets and 4
student tickets. Find the
price of an adult ticket.
Answers
Answer:
9 dollars
Step-by-step explanation:
Solve with a system of equations
Let adult tickets be a and student tickets be s
1. 8a + 13s = 176
2. 4a + 4s = 68
3. s = 17 - a
Equation 2 is friendlier, so let's divide all the numbers by 4.
a + s = 17
Equation is s = 17 - a
Substitute s in equation 1
8a + 13(17-a) = 176
8a + 221 - 13a = 176
221 - 5a = 176
5a = 45
a = 9
The price of an adult ticket is 9 dollars
Hope this helps :)
Identify the initial amount a and the rate of growthr (as a percent) of the exponential function y = 25(1.2)t Evaluate the function
when t=5. Round your answer to the nearest tenth.
a =
r=%
When I = 5, y =
Answers
Answer:
y = 62.21
a = 25
r = 1.2 - 1 from (1 + r) part of the formula = .2 or 20%
Step-by-step explanation:
y = 62.21
y = final amount
y = a(1+r)^t
Calculate the value of x and give reason.
Answers
since these two angles are the same, we can write down following equation:
70=x+20
then x = 50
All 136 students in the Math Club went on a field trip. Some students rode in vans which hold 8
students each and some students rode in buses which hold 40 students each. How many of each
type of vehicle did they use if there were 5 vehicles total?
Answers
Explanation: let x be number of buses, y be number of vans,
136= 40x+8y
5=x+y
Use simultaneous equation,
136-8(5)= 40x +8y - 8(x+y)
96= 32x
x = 3
When x=3, y= 2
collins was 7 years old when he joined school today is 13 years 2 months old for how long has he been in school?
Answers
Step by step explanation:
3. Find the actual area of the hallway.
4. Find the actual area of the kitchen.
Answers
1/2 in x 5 in to get the area in inches
Multiply that by 6 to get the ft
(15 ft)
Kitchen:
3 in x 3 in
Multiple that by 6 to get the ft
(54 ft)
(REMEMBER: Final label is ft.)
Hallway = (1/2 in. (width) x (2 in. (length) + 3 in. (length)) x 6 ft. (actual size)
Hallway = (1/2 in. (width) x 5 in. (length)) x 6 ft. (actual size)
Hallway = 5/2 in. (area) x 6 ft. (actual size)
Hallway = 15 ft^2 (final answer)
Kitchen = (3 in. (width) x 3 in. (length)) x 6 ft. (actual size)
Kitchen = 9 in. (area) x 6 ft. (actual size)
Kitchen = 54 ft^2 (final answer)
Newport Township is building a new playground area for neighborhood kids. The playground will be a square with a perimeter of 56 8 3 x An equivalent expression is 56 8 ( 1 3 x ). Which expression represents the length of one of the playground's sides? 224 StartFraction 32 over 3 EndFraction x 14 two-thirds x 14 StartFraction 8 over 3 EndFraction x 4 (56 StartFraction 8 over 3 EndFraction x).
Answers
Answer: Its B aka 14+2/3x
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
