Answer:
w = 4028
Step-by-step explanation:
Solve for y
[tex]y+1 = 2015[/tex]
[tex]y=2014[/tex]
Substitute 2014 for y then solve for w
[tex]2\left(2014\right)^{2}+2\left(2014\right)=2015w[/tex]
[tex]w=\ \frac{\left(2\left(2014\right)^{2}+2\left(2014\right)\right)}{2015}[/tex]
[tex]w=4028[/tex]
Therefore, w must be 4028
Prove that log(3) 7 is an irrational number
Answer:
Proof below
Step-by-step explanation:
Irrational and Rational Numbers
We need to use the basic property of logarithms:
[tex]log_b\ a=x\ \ \Rightarrow b^x=a[/tex]
We are given:
[tex]log_3\ 7[/tex]
And we will prove it's an irrational number, i.e., it's not a rational number.
Recall a rational number can always be expressed as a fraction a/b, where a and b are integer numbers. Thus, if the expression was a rational number, then:
[tex]\displaystyle log_3\ 7=\frac{a}{b}[/tex]
Applying the property:
[tex]\displaystyle 3^{\frac{a}{b}}=7[/tex]
Raising to the power of b:
[tex]3^a=7^b[/tex]
It's not possible to find two integers a and b that satisfy the condition above. That contradiction comes from the assumption that [tex]log_3\ 7[/tex] is rational, thus, it's proven [tex]log_3\ 7[/tex] is irrational.
I need help with this question can anyone help ?
Answer:
m < 1 = 72
Step-by-step explanation:
Since we know that line l and line m are parallel and that p is one of their transversals, it sets up a situation where we can identify which angles are congruent (equal) to one another according to their positions.
In this case, we can see that < 3 and < 1 are in the same matching corners created by the transversal. When angles are in the same matching corners they are called corresponding angles - and according to the Corresponding Angles Postulate, corresponding angles are congruent.
Therefore, m < 3 = m < 1, and since it's given that m < 3 = 72, we know that m < 1 = 72 too.
A June 2009 Harris Interactive poll asked people their opinions about the influence of advertising on the products they buy. Among the people aged 18 to 34 years, 45% view advertisements as being influential, whereas among the people aged 35 to 44 years, 37% view advertisements as being influential. Suppose that this survey included 655 people in the 18- to 34-year age group and 420 in the 35- to 44- year age group. At the 1% significance level, can you conclude that the proportion of all people aged 18 to 34 years who view advertisements as being influential in their purchases is greater than the proportion of all people aged 35 to 44 years who hold the same opinion
Answer:
We accept with 99 % of confidence that p₁ ( the proportion in the group aged 18 - 34 ) is bigger than p₂ (the proportion in the group aged 35-44)
Step-by-step explanation:
Group aged 18 - 34
Sample size n₁ = 655 sample size enough to apply a normal distribution aproximation for the test
p₁ = 0,45 and q₁ = 1 - p₁ q₁ = 0,55
p₁*n₁ = 0,45*655 = 294 q₁*n₁ = 0,55*655 = 360
both bigger than 5
p₁ = 45 % or p₁ = 0,45 then q₁ = 1 - 0,45 q₁ = 0,55
Group aged 35 - 44
Sample size n₂ = 420 sample size enough to apply a normal distribution aproximation for the test
p₂ = 37% p₂ = 0,37 and q₂ = 0,63
p₂*n₂ = 0, 37*420 = 155 q₁*n₁ = 0,63*420 = 264
Test Hypothesis
Null Hypothesis H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ > p₂
Significance level α = 1% α = 0,01
Confidence Interval CI = 99 %
Then from z table we find critical z z (c ) = 3,1
Calculating z(s)
z(s) = ( p₁ - p₂ )/ √[ ( p₁*q₁)/n₁ ] + [ (p₂*q₂)/n₂ ]
z(s ) = (0,45 - 0,37 ) / √ 0,45*0,55)/655 + 0,37*0,63 /420
z(s) = 0,08 /0,03
z(s) = 2,66
Comparing z(s) and z(c)
z(s) < z(c)
Then z (s) is inside the acceptance region for H₀
Answer asap please it will be much appreciated
Answer:
9 cm.
Step-by-step explanation:
First, let's form an equation. We'll represent the final depth of snow on Cherry Street with the variable d. We'll represent the hours with the variable h.
10 - 1/3h = d
Now, you already know what h equals so you can replace h with 3 for 3 hours.
10 - 1/3(3) = d
1/3 * 3 = 1.
10 - 1 = d
10 - 1 = 9
Now, we know what d equals.
10 - 1/3(3) = 9.
Do NOT forget the unit of measurement in your final answer, cm. In the photo, it looks as though it has already been provided.
The final answer is 9 cm.
Is the function f(x) = 3(.96)x an exponential growth or exponential
decay function? Why?
Answer:
exponential decay
Step-by-step explanation:
anything less than 1 in the parenthesis is decay
Ashley has sold 20% of candy bars she is supposed to sell for her softball team. How many candy bars does she have left to sell???
Answer:
Step-by-step explanation:
She has 80% of the total amount she had before she sold any. Can't solve any further for you, unless you provide me the number sold or the amount she had before she sold them.
Answer:
no
Step-by-step explanation:
g In an experiment, 37 randomly selected drivers drove from Pontiac to Detroit at random times. The travel time for these drivers was 39.0 minutes on average with a standard deviation of 4.8 minutes. Calculate and interpret a 99.9% confidence interval for the mean travel time for all possible drivers traveling from Pontiac to Detroit.
Answer:
CI = ( 36,6 ; 41,4 )
Step-by-step explanation:
CI = 99,9 % α = 0,1 % α = 0,001
We find z scre for α = 0,001 in z -table
z(s) = - 3,08
CI = μ₀ ± MOE where μ₀ = 39 min and MOE = z(s) * σ/√n
CI = 39 ± 3,08 * 4,8 / √37
CI = 39 ± 2,4315
CI = ( 36,6 ; 41,4 )
Twice a number is 42 less then five times a number. What is the number? Define a variable, write an equation, and then solve.
Answer:
Given - Twice a no. is 42 less than 5 times a no.
To find - The no.
Solution -
Let the no. be XAccording to the question the equation made is -
2x = 5x - 42
2x - 5x = (-42)
(-3x) = (-42)
x= (-42)/(-3)
x = 14
The no. is 14
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $2220 and his stock in Company B was worth $3100. The stock in Company A has increased 25% since last year and the stock in Company B has increased 7%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
The total percentage increase in the investor's stock account is 14.5%.
What is the percentage?The percentage refers to the portion or ratio of a variable concerning another.
Like ratios, percentages are stated with the percentage sign (%). We also use percentages to show proportions.
For instance, the percentage increase in the investor's stock account is derived below to show how much the growth in value is compared to the original investments.
Whereas the dollar increase is $772, in percentage terms, it is 14.5%.
Data and Calculations:Company A Company B Total
Investments $2,220 $3,100 $5,320
Increase in value 25% 7%
Dollar increase $555 $217 $772
Total percentage increase = 14.51 % ($772/$5,320 x 100)
Thus, the total percentage increase in the investor's stock account is 14.5%.
Learn more about percentages at brainly.com/answer expert verified
#SPJ1
in the image shown, line n is a transversal cutting parallel lines l and m.
Answer:
hi im zachary Grace im a male please wait while i type your awsner ;) So, m = 180 - 110 or 70°. interior angles, so they have the same measure so i think its A or B i tried hope this helps
Answer:
choice b
Step-by-step explanation:
5x = 1/125
What is X
Answer:
x= 1/25
Step-by-step explanation:
If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
Answer:
(f - g)(x) = 2x - 3
Step-by-step explanation:
(f - g)(x) is defined as subtracting the whole g(x) function from the f(x) function.
Hence, we can define it as:
(3x - 1) - (x + 2)
= 3x - x - 1 - 2
= 2x - 3
Therefore, (f - g)(x) = 2x - 3.
Hope this helped!
3. Last year 858 people attended the Middleton County Fair. This year 1,635 people attended. What was the percent increase from last year to this year? (Round to the nearest percent)
A.90%
B.91%
C.47%
D.48%
Answer: 47?
Step-by-step explanation:
Really need help !!!!!!!!
find the inverse with respect to addition of -6
Given:
The number is -6.
To find:
The inverse with respect to addition of the given number.
Solution:
We need to find the additive inverse of -6, to get the inverse with respect to addition of -6.
We know that, the sum of a number and its additive inverse is 0.
Let the additive inverse of -6 be x. Then,
[tex]-6+x=0[/tex]
Adding 6 on both sides, we get
[tex]-6+x+6=0+6[/tex]
[tex]x=6[/tex]
Therefore, the inverse with respect to addition of -6 is 6.
At soccer practice on Saturday morning, Liz's team practiced dribbling for 45 minutes and practiced shooting for 15 minutes. Then, they played a scrimmage game for 45 minutes before practice ended at 9:30 A.M. What time did Liz's soccer practice start?
Please help me fast!!!
Answer:
7:45 AM I believe:)
Step-by-step explanation:
How many meters are in 100 millimeters? 1
10
0.1
100
Answer:
0.1
Step-by-step explanation:
divide the length value by 1000
Solve for x and y. (5x+2) y 6x
Answer:
x=8
y=138
Step-by-step explanation:
5x+2+6x=90
11x+2=90
11x=88
x=8
y+5x+2=180
y+40+2=180
y+42=180
y= 138
Heather drives 130 miles in 2 hours. If she travels the same distance each hour, how many miles does she drive per hour?
Answer:
she drive 65 miles Per hour
Answer:
if she drive for two more hours that means she drove 4 hours and plus 130 plus 130 and that will equal 260. so the answeris 260.
Step-by-step explanation:
A scientist add drops of liquid to a test tube. Each drop contains o.14mL. After 6 drops how much liquid has the scientist added?
Answer:
We conclude that after 6 drops how much liquid the scientist has added 0.84 mL.
Step-by-step explanation:
Given that the scientist adds drops of liquid to a test tube.
The amount of liquid in 1 drop = 0.14 mLIn order to determine the amount of liquid after 6 drops, all we need is to multiply 0.14 mL by 6.
i.e.
The amount of liquid in 6 drops = 0.14 × 6
= 0.84 mL
Therefore, we conclude that after 6 drops how much liquid the scientist has added 0.84 mL.
30 points On a certain hole, a golfer knows that he has a 70% chance of reaching the green (putting surface) in one stroke, 20% in two strokes, 8% in three, and 2% in four or more. If he reaches the green on his first stroke, he has an 80% chance of putting the golf ball in the cup on his second stroke. If he does not reach the green on his first stroke, then he has a 30% chance of putting the golf ball in the cup on his second stroke. What is the probability that the golfer will reach the green in one stroke and put the ball in the cup on his second stroke?
0.09
0.21
0.56
0.80
Answer:
.56
Step-by-step explanation:
1. What type of solutions would we get from the quadratic equation
f (x)= 3x2 + 8x + 2?
Answer:
Double root / x = -3
Step-by-step explanation:
In a right triangle, the tangent of angle A is 9/12 and the cosine of angle a is 12/15 based on these values what is the sine of angle a
a. 9/15
b 15/16
c 1, 1/15
d 1. 11/20
Answer:
option A 9/15
im srry i suck at math
Solve for x 1000 = 500e^2x
Can someone help me please
Answer: A
Step-by-step explanation:
1000 = 500e^(2x)
2 = e^(2x)
ln2 = 2x
Step-by-step explanation:
1000 = 500e^(2x)
2 = e^(2x)
ln2 = 2x
x = ln2 / 2. (A)
Can some on check over my work pls
Not exactly correct.
y=mx+b Slope is m and y intercept is b.
So, here count the units for the slope. it goes barley to the 7th box. Now, count the units for the y intercept. It goes to the fourth box.
Thus, your equation is y=7x+4
[tex]\underline{Hope\;it\;helps\;out!}[/tex]
Could someone help me with these problems ?
Answer:
Step-by-step explanation:
1. is 10
4. is 6
6. is $3.19
7. is $6
Evaluate -3x^3 - 4x for x=-1.
Answer:
-x.(3x^2+4)
Step-by-step explanation:
Brain-list?
Answer:
-3(-1)^3-4(-1)= 27+4=31
Step-by-step explanation:-3 and -1 when you multiply both minus will change into plus. same for -4 and -1 when you multiply will change the signs. so you will get 27+4=31
The width of a box is two-third of it's length and height is one-third of it's length.If the volume of the box is 384 cubic meter,find the dimensions of the box.
Answer:
Length = 12
Width = 8
Height = 4
Step-by-step explanation:
Let length of box = l
Width = 2/3 * l
Height = 1/3 * l
Volume of the box = 384 ft³
Volume = Length * width * height
Volume of box = l * 2/3 l * 1/3 l
384 = 2l³ / 9
384 * 9 = 2l³
3456 = 2l³
l³ = 3456 / 2
l³ = 1728
Take the Cube root of 1728
l = 12
Length = 12
Width = 2/3 * 12 = 8
Height = 1/3 * 12 = 4
please help 8th grade math
Answer:
I'm in the 8th grade and I could probably help you out
Step-by-step explanation:
Blake drives 448 miles on 16 gallons. How many miles does Blake drive on one gallon?
Answer:
28
Step-by-step explanation:
i just divided 448 and 16 and got that, om on that same question
here is how to divide that so you know on your own
Step 1:
Start by setting it up with the divisor 16 on the left side and the dividend 448 on the right side like this:
1 6 ⟌ 4 4 8
Step 2:
The divisor (16) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:
0
1 6 ⟌ 4 4 8
Step 3:
Multiply the divisor by the result in the previous step (16 x 0 = 0) and write that answer below the dividend.
0
1 6 ⟌ 4 4 8
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.
0
1 6 ⟌ 4 4 8
- 0
4
Step 5:
Move down the 2nd digit of the dividend (4) like this:
0
1 6 ⟌ 4 4 8
- 0
4 4
Step 6:
The divisor (16) goes into the bottom number (44), 2 time(s). Therefore, put 2 on top:
0 2
1 6 ⟌ 4 4 8
- 0
4 4
Step 7:
Multiply the divisor by the result in the previous step (16 x 2 = 32) and write that answer at the bottom:
0 2
1 6 ⟌ 4 4 8
- 0
4 4
3 2
Step 8:
Subtract the result in the previous step from the number written above it. (44 - 32 = 12) and write the answer at the bottom.
0 2
1 6 ⟌ 4 4 8
- 0
4 4
- 3 2
1 2
Step 9:
Move down the last digit of the dividend (8) like this:
0 2
1 6 ⟌ 4 4 8
- 0
4 4
- 3 2
1 2 8
Step 10:
The divisor (16) goes into the bottom number (128), 8 time(s). Therefore put 8 on top:
0 2 8
1 6 ⟌ 4 4 8
- 0
4 4
- 3 2
1 2 8
Step 11:
Multiply the divisor by the result in the previous step (16 x 8 = 128) and write the answer at the bottom:
0 2 8
1 6 ⟌ 4 4 8
- 0
4 4
- 3 2
1 2 8
1 2 8
Step 12:
Subtract the result in the previous step from the number written above it. (128 - 128 = 0) and write the answer at the bottom.
0 2 8
1 6 ⟌ 4 4 8
- 0
4 4
- 3 2
1 2 8
- 1 2 8
0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 448 divided by 16 calculated using Long Division is:
28
0 Remaind