Answer:
$25 per house.
Step-by-step explanation:
h, is the variable in this sitution. Quite literally this means that # of hours is the only value that will CHANGE/be variable. Since $25 has no variable assigned with it, it will be constant.
Simplify. Rewrite the expression in the form 7^n7 n 7, start superscript, n, end superscript. \left(7^3\right)^{3}=(7 3 ) 3 =left parenthesis, 7, cubed, right parenthesis, cubed, equals
Step-by-step explanation:
We need to write the given expression in the form of [tex]7^n[/tex] and the expression is [tex](7^3)^3[/tex].
The property is : [tex](x^n)^m=x^{nm}[/tex]
We have, x = 7, n = m = 3
So,
[tex](7^3)^3=7^{3\times 3}\\\\=7^9[/tex]
Therefore, the value of n is 9.
Solve for x with work
Answer:
47 degrees
Step-by-step explanation:
The two angles shown are "vertical angles" and thus are equal.
Thus, 2x + 3 = x + 50
Combining like terms, we get:
x = 47 degrees
I need this urgently anyone knows this?
Answer:
A/( 1+rt) = P
Step-by-step explanation:
A = P ( 1+rt)
Divide each side by ( 1+rt)
A/( 1+rt) = P ( 1+rt)/(1+rt)
A/( 1+rt) = P
Need help plzzz anyone
Answer:
A) √61
Step-by-step explanation:
a²+b²=c²
(4-(-2))²+(5-0)²=c²
6²+5²=c²
36+25=c²
61=c²
c=√61
5. Tia invests $2,500 at an interest rate of 4%, compounded quarterly. How much is the investment worth at the end of 5 years? Look at the concept summary if you forgot the formula for compound interest.
Answer:
$3050.48
Step-by-step explanation:
If 4% is compounded quarterly, that means it's 1% every quarter. since we have 5 years, that's 1.01^20, which is approx. 1.2202. We multiply this by the orignal $2500, so our investment at the end of 5 years is $3050.48 (rounded to nearest cent)
The amount of money that Tia's investment would be worth at the end of 5 years is equal to $3050.5.
Given the following data:
Principal = $2,500Interest rate = 4% = 0.04Time = 5 yearsNumber of times = 4To determine how much is the investment worth at the end of 5 years:
Mathematically, compound interest is given by the formula:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.P is the principal (starting amount).r is annual interest rate.n is the number of times the interest is compounded in a year.t is the number of years for the compound interest.Substituting the given parameters into the formula, we have;
[tex]A = 2500(1 + \frac{0.04}{4})^{4\times 5}\\\\A = 2500(1 +0.01)^{20}\\\\A = 2500(1.01)^{20}\\\\A = 2500(1.2202)[/tex]
Future value, A = $3050.5
Read more: https://brainly.com/question/22339845
Which property would allow you to use mental computation to simplify the problem 27 + 15 + 3 + 5? additive identity additive inverse commutative property of addition distributive property
Answer:
Commutative Property
Step-by-step explanation:
Additive Identity: If you add a real number to zero or add zero to a real number, then you get the same real number back.
Additive Inverse: When you add the same number but reversed sign, you get 0.
Commutative Property: a + b = b + a
Addition distributive property: a(b+ c) = ab + ac.
In this case, we use the commutative property:
27 + 15 + 3 + 5 = 27 + 3 + 15 + 5.
We know that 27 + 3 = 30 and 15 + 5 = 20, so we get 50 quickly using mental math.
Answer:
Communitive
Step-by-step explanation:
A new cell phone costs $85, and the sales tax is 9%. What is the amount of the sales tax?A new cell phone costs $85, and the sales tax is 9%. What is the amount of the sales tax?A new cell phone costs $85, and the sales tax is 9%. What is the amount of the sales tax?
Step-by-step explanation:
Sales tax = $7.65
Explanation:
To find the sales tax, you would find 9% of $85
$85×9÷100 (You can reduce 85 and 100 because they have a common factor of 5)
$17×9÷20 (Multiply 9×17)
153÷20 = $7.65
Answer:
7.65
Step-by-step explanation:
Lin recorded 14,-7 and 9. what was the net gain or loss?
Answer:
12345
Step-by-step explanation:
IF nominal alpha is set to .01, which of these p values would be considered criteria for rejecting the null hypothesis?
a. .002
b. .009
c. .04
d. .042
Answer:
The null hypothesis gets rejected for the p-value of 0.04 and 0.042.
Step-by-step explanation:
We are given the level of significance of [tex]\alpha[/tex] = 0.01 or 1%. And also we are provided with the different p-values.
As we know that; the decision rule for rejecting the null hypothesis is given by;
If the P-value of our test statistics is less than the level of significance, then we have sufficient evidence to reject our null hypothesis.If the P-value of our test statistics is more than the level of significance, then we have insufficient evidence to reject our null hypothesis.(i) The P-value given is 0.002.
Here, the P-value is less than the level of significance as 0.002 < 0.01, then we have sufficient evidence to reject our null hypothesis. So, the null hypothesis gets rejected.
(ii) The P-value given is 0.009.
Here, the P-value is less than the level of significance as 0.009 < 0.01, then we have sufficient evidence to reject our null hypothesis. So, the null hypothesis gets rejected.
(iii) The P-value given is 0.04.
Here, the P-value is more than the level of significance as 0.04 > 0.01, then we have insufficient evidence to reject our null hypothesis. So, the null hypothesis does not get rejected.
(iv) The P-value given is 0.042.
Here, the P-value is more than the level of significance as 0.042 > 0.01, then we have insufficient evidence to reject our null hypothesis. So, the null hypothesis does not get rejected.
8y + 10=42 solve for y
Answer: y=4
Step-by-step explanation:
Step 1: Subtract 10 from both sides.
8y+10−10=42−10
8y=32
Step 2: Divide both sides by 8.
8y
8
=
32
8
y=4
Answer:
8y + 10 =42
8y = 42-10
8y = 32
8y/8 = 32/8
y = 4
Set of integers between -12 and 12
Answer:
0
Step-by-step explanation:
I need helpp thxxxxx
Answer: x=12
Step-by-step explanation:
5x=4x+12
move all terms containing x to the left side of the equation
subtract 4 from 5
1x=12
x=12
Solve for z.
Z<-9
Z>-9
Answer:
z>-9
Step-by-step explanation:
Answer: z > -9
Step-by-step explanation:
[tex]\frac{-2z-3}{3} < 5[/tex] multiply each side by 3 to get
-2z -3 < 15 now add 3 to both sides
+3 +3
-2z < 18 Divide both sides by -2. Since your dividing by a negative number the inequality sign will change
z> -9
Which of the following is an integer?
O 9.1
0-6
0 -2.3
-O
Answer:
The answer is -6
Step-by-step explanation:
I'll give you brainliest if you answer! All I need is help with number 15!
Answer:
120 minutes
Step-by-step explanation:
The lowest number that all three trains times can evenly go into is 120. 60 is not divisible by 8, but 120 is. So is 12 and 10, so 120.
prove that 3^2n+7 is divisible by 8
Answer:
Step-by-step explanation:
If n=1 then 32n+7=16=2(8) so true when n=1
Assume true for n=k so
8|32k+7
If n=k+1
32(k+1)+7
32k+2+7
If 32n+7 is divisble by 8 then 32n+7=8A where A∈Z, and thus 32k+2+7=8B where B∈Z
32×32k+7
32×(8A)=72A
72A=8(9A)=9B
So by induction 32n+7 is divisibe by 8 ∀n∈N
I need help with this question plz thx
Answer:
[tex]7x^2 - 3y + 9[/tex]
Step-by-step explanation:
Hey there!
Well to solve the given,
2y - y + 7 - 1 + 3 + 7x^2 - 4y
We need to combine like terms
[tex]2y - y + 7 - 1 + 3 + 7x^2 - 4y\\7x^2 - 3y + 9\\[/tex]
Hope this helps :)
Answer:
7x^2 - 3y + 9
Step-by-step explanation:
2y - y + 7 - 1 + 3 + 7x^2 - 4y [Combine like terms]
= (2y - y - 4y) + (7- 1 + 3) + 7x^2
= -3y + 9 + 7x^2 [Order the terms from most exponents to least]
= 7x^2 - 3y + 9
ID: A
17. N.Q.1-2 ULHS has a student that can run 100 yds in 15 seconds. Mrs. Duke's class converted his speed to
miles per hour below and determined he can run 4.55 miles per hour. Is the conversion correct? If not, explain
what the class did wrong and then work it out using dimensional analysis. You MUST Show all work.
100 yds
60 sec
60 min 1 mile
= 4.55 mph
15 sec
1 min 1 hr 5280 yds
Answer:
13.63 miles per hour
Step-by-step explanation:
100 yards / 15 sec converted to miles per hour
100 yards x 60 sec x 60 min x 1 mile = 13.63 miles/hr
15 sec 1 min 1 hr 1760 yards
the mistake on Mrs Dukes is the conversion from miles to yards.
1 mile = 1760 yards NOT 5280 yards
Evaluate the integral. W (x2 y2) dx dy dz; W is the pyramid with top vertex at (0, 0, 1) and base vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), and (1, 1, 0)
Answer:
[tex]\mathbf{\iiint_W (x^2+y^2) \ dx \ dy \ dz = \dfrac{2}{15}}[/tex]
Step-by-step explanation:
Given that:
[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz[/tex]
where;
the top vertex = (0,0,1) and the base vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), and (1, 1, 0)
As such , the region of the bounds of the pyramid is: (0 ≤ x ≤ 1-z, 0 ≤ y ≤ 1-z, 0 ≤ z ≤ 1)
[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \int ^{1-z}_0 \int ^{1-z}_0 (x^2+y^2) \ dx \ dy \ dz[/tex]
[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \int ^{1-z}_0 ( \dfrac{(1-z)^3}{3}+ (1-z)y^2) dy \ dz[/tex]
[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \ dz \ ( \dfrac{(1-z)^3}{3} \ y + \dfrac {(1-z)y^3)}{3}] ^{1-x}_{0}[/tex]
[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \ dz \ ( \dfrac{(1-z)^4}{3}+ \dfrac{(1-z)^4}{3}) \ dz[/tex]
[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz =\dfrac{2}{3} \int^1_0 (1-z)^4 \ dz[/tex]
[tex]\iiint_W (x^2+y^2) \ dx \ dy \ dz =- \dfrac{2}{15}(1-z)^5|^1_0[/tex]
[tex]\mathbf{\iiint_W (x^2+y^2) \ dx \ dy \ dz = \dfrac{2}{15}}[/tex]
This is a standard deviation contest. You must choose four numbers from the whole numbers 0 to 10 , with repeats allowed. (a) Choose four numbers that have the smallest possible standard deviation. What is s in this case? (Enter your answer rounded to the nearest whole number.)
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following instructions :
Choose 4 numbers from the whole numbers 0 - 10
Note : Repetition is allowed
Choose 4 numbers with the smallest possible standard deviation.
The smallest possible value of standard deviation obtainable is 0;
Hence in other to obtain a standard deviation value of 0, then;
The mean squared deviation value must be zero (0)
Σ(X - mean)^2 = 0
To achieve this, the values of X and the mean must be the same.
Hence all 4 numbers (X) must be the same in other to have a mean value which is equal to X
For instance :
If X = 3, 3, 3, 3 (since Repetition is allowed)
Man value = (3+ 3+ 3+ 3) / 4 = 12 / 4 = 3
Σ(3 - 3)² = 0 for all values of x
√Σ(x - mean)² / n = 0 ; if all values of x are the Same
n = Number of observations
A possible list of values is (3,3,3,3)
Tell whether each equation is True, False, or Open. Explain. "must explain for credit"
1. 6-t=12
2. 7+(-5)=12
3. 31 - 15 = 22 + (-3)2
Suppose you run 5 miles from your house to a friend's house at a speed of 6 miles per hour. When the time comes to return home, you are tired and walk the same 5 miles home at 3 miles per hour. How long did you spend running to your friend's house?
Answer:
2hours and 30minutes
Step-by-step explanation:
6mph for 5 miles, would be 10 minutes per mile(in an hour because of 60). Only five were completed to itd take 50 minutes. 3mph for 5hours would take 1hr and 40 minutes because 3miles would take 1 hour which would make one mile take 20 minutes so you add the two twenties(for the last two miles) to get 40. Then u add them together. (50min+60min+40min)
Can someone please help?
Answer:
I answered the 1st one on your other post
2nd: 1/8
3rd: I don't know anything about inchwe study in cm so I don't know the answer
Step-by-step explanation:
we throw a coin. it has 2 probabilities: heads or tails
each probability is 1/2
1st throw 1/2
2nd throw 1/2
3rd throw 1/2
as all these throws are independent from one another, we put × between them. so: 1/2 ×1/2 ×1/2= 1/8
3(x2 + x + 2) +5(x-4)
An outdoor spa (hot tub) draws 1504 watts to keep the water warm. If the utility company charges $0.14 per kilowatt-hour, how much does it cost to operate the spa for four months during the winter (24 hours per day)? Assume each month has 30 days.
Answer:
$606.41
Step-by-step explanation:
1504 W * (1 kW)/(1000 W) * 0.14 $/(kW*h) * 4 months * (30 days)/(month) * (24 hours)/day =
= $606.41
20. How does the graph of
g(x) = 2x + 3 differ from the
graph of f(x) = 2x?
A It is moved up 3 units.
B It is moved down 3 units.
C It is moved right 3 units.
D It is moved left 3 units.
Answer:
A. It is moved up 3 units
Step-by-step explanation:
The 3 in 2x+3 tells you that the line is moved up 3 units
Need help I don’t understand
Answer:
58 degrees
Step-by-step explanation:
subtract 122 from 180
the ans of your above questions is 58°
What is the value of the expression?
10+|5+2|
A. 3
B. -17
C. -3
D. 17
Answer:
17
Step-by-step explanation:
Because 10+5=15+2=17
(b) What is the probability that distance exceeds the mean distance by more than 2 standard deviations?
Answer:
>0.95
Step-by-step explanation:
This probably refers to a normal distribution. In a normal distribution, according to the empirical rule,
68% of observed data falls within 1 standard deviation of the mean
95% falls within 2 standard deviations of the mean
99.7% falls within 3 standard deviations of the mean
In this case, the observed data is distance and the average figure for all observed distances is the mean distance.
So, the probability that a/any distance observed exceeds the mean distance by more than 2 standard deviations is >95%
In other words, the probability is >0.95
Can someone show me step by step how to solve this problem? I’m stuck on how to do this. 5/6x +3 > -7 (1/6x +3)
Answer:
x>-12
Step-by-step explanation:
first you would simplify by multiplying -7 from the terms in the parenthesis and then you would get [tex]\frac{5x}{6} +3>\frac{-7x}{6} -21[/tex] then you would add 21 to both sides to get rid of the -21 and you would get [tex]\frac{5x}{6} +24>\frac{-7x}{6}[/tex] then you would subtract 5/6 from both sides to get rid of the 5/6 so you get 24>[tex]\frac{-12x}{6}[/tex] and then you would simplify by multiplying 6 to both sides so you get 144>-12x then you would divide both sides by -12 (note that you have to flip the greater than or less then sign after dividing by a negative number) so you get -12<x or x>-12