Answer:
x=10 84 cm
Step-by-step explanation:
We know that a square has 4 sides, and each side length is (2x+1). So we need to distribute the 4.
4(2x+1)
8×+4 is the perimeter for the square.
A triangle has 3 sides, and each side length is (3x-2). So we need to distrbute the 3.
3(3x-2)
9x-6 is the perimeter of the triangle.
We know that these perimeters are equal to each other. Then we just solve for x.
8x+4=9x-6
10=x
Plug 10 into the square equation.
8(10)+4
84 cm
Answer:
x = 10
Square perimeter = 84cm
Triangle perimeter = 84cm
Step-by-step explanation:
Hello!
First, we make an equation to find the perimeter of each shape
For a square we multiple one side by 4
(2x + 1) * 4
Simplify
8x + 4
An equilateral triangle means each side is equal so we can multiply one side by 3
(3x - 2) * 3
Simplify
9x - 6
The problem states they are equal to each other so we can show that
8x + 4 = 9x - 6
Now we can solve for x
Subtract 8x from both sides
4 = x - 6
Add 6 to both sides
10 = x
Now we can put x into our original equations for the perimeters
Square
8(10) + 4
80 + 4
84cm
Triangle
9(10) - 6
90 - 6
84cm
Hope this Helps!
Help me with this please ❤️❤️
Answer:
Hey there!
The coordinates of the point Q are (0, 2)
Let me know if this helps :)
A pancake recipe calls for 1 cup of flour. Derek has already used 1/4 cup of flour. How many more cups of flour does Derek need to add?
Answer:
Derek needs to add 3/4 cups of flour.
Step-by-step explanation:
If Derek has already used 1/4 cup of flour, he needs 3 more cups of flour to get to 1 full cup of flour.
Answer:
Step-by-step explanation:A batch of cookies requires 2 1/4 cup of flour and 1 egg. You have in your kitchen 8 cups of flour and a half dozen eggs. a) How many batches of cookies
Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125 young adults in this age group was selected. What is the probability that between 14 and 20 of these young adults lived with their parents?
Answer:
The probability is [tex]P(14 < X < 20 ) = 0.5354[/tex]
Step-by-step explanation:
From the question we are told that
The proportion that live with their parents is [tex]\r p = 0.142[/tex]
The sample size is n = 125
Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution
i.e
[tex]X \ \~ \ B( \mu , \sigma )[/tex]
Now the mean is evaluated as
[tex]\mu = n * \r p[/tex]
[tex]\mu = 125 * 0.142[/tex]
[tex]\mu = 17.75[/tex]
Generally the proportion that are not staying with parents is
[tex]\r q = 1 - \r p[/tex]
= > [tex]\r q = 0.858[/tex]
The standard deviation is mathematically evaluated as
[tex]\sigma = \sqrt{n * \r p * \r q }[/tex]
[tex]\sigma = \sqrt{ 125 * 0.142 * 0.858 }[/tex]
[tex]\sigma = 3.90[/tex]
Given the n is large then we can use normal approximation to evaluate the probability as follows
[tex]P(14 < X < 20 ) = P( \frac{ 14 - 17.75}{3.90} <\frac{ X - \mu }{\sigma } < \frac{ 20 - 17.75}{3.90} )[/tex]
Now applying continuity correction
[tex]P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < \frac{ X - \mu }{\sigma } < \frac{ 19.5 - 17.75}{3.90} )[/tex]
Generally
[tex]\frac{ X - \mu }{\sigma } = Z ( The \ standardized \ value \ of X )[/tex]
[tex]P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < Z< \frac{ 19.5 - 17.75}{3.90} )[/tex]
[tex]P(14 < X < 20 ) = P( -1.0897 < Z< 0.449 } )[/tex]
[tex]P(14 < X < 20 ) = P( Z< 0.449 ) - P(Z < -1.0897)[/tex]
So for the z - table
[tex]P( Z< 0.449 ) = 0.67328[/tex]
[tex]P(Z < -1.0897) = 0.13792[/tex]
[tex]P(14 < X < 20 ) = 0.67328 - 0.13792[/tex]
[tex]P(14 < X < 20 ) = 0.5354[/tex]
Which function does this graph represent ?
Answer: B
Step-by-step explanation:
a is negtive bcs grph opens down. h value is -1 and k is +2
6. What is the slope of the line given by the equation y = 4x +12?
Answer:
4
Step-by-step explanation:
y = 4x + 12
In y = mx+b
The coefficient of x (m) is the slope.
So the slope is 4
Answer:
The slope is 4
Step-by-step explanation:
y = 4x +12
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 4 and the y intercept is 12
A school P is 16km due west of a school Q. what is the bearing of Q from P
Answer:
16Km due east of school P
Step-by-step explanation:
Given
A school P is 16km due west of a school Q
Thus, we can say that distance PQ = 16 km.
________________________________
now we have to find the bearing of Q from P
As distance is same
distance PQ = distance QP
Thus,
Distance will remain same of 16 km.
For direction,
If Q is west of P, then P will be east of Q[tex]P------------------>Q[/tex]
as shown in figure P is west of Q,
now from point P , Q is west P.
Thus,
Bearing of School Q from P is 16Km due east of school P
What is the prime factorization of 75?
If you can download 6 songs for $4.68, then how much would 10 songs cost.
Answer:
$7.80
Step-by-step explanation:
Find the cost to download 1 song. Divide 6 from 4.68
4.68/6 = 0.78
Each song costs $0.78.
Find the amount 10 songs cost. Multiply 0.78 with 10:
10 x 0.78 = 7.80
$7.80 is your answer.
~
Hi
6 = 4.68
10 = X
X = 10*4.68 /6
X = 46.8/6
X = 7.8
Consider the sequence {an} = {nrn}. Decide whether {an} converges for each value of r.
(a) r = 1/5
(b) r = 1
(c) r = 1/6
For what values of r does the sequence {nr^n} converges?
Answer:
a). converges
b). diverges
c). converges
Step-by-step explanation:
{ [tex]$ a_n $[/tex] } = { [tex]$ nr^n $[/tex] }
Using radio test,
L = [tex]$ \lim_{n \rightarrow \infty} |\frac{a_n + 1}{a_n}| $[/tex]
= [tex]$ \lim_{n \rightarrow \infty} |\frac{(n+1)r^{n+1}}{nr^n}| $[/tex]
= [tex]$ \lim_{n \rightarrow \infty} |(1+\frac{1}{n})^r| $[/tex]
= [tex]$ \lim_{n \rightarrow \infty} |r| $[/tex]
= |r|
Therefore, [tex]$a_n$[/tex] converges in |r| < 1
a). r = 1/5
[tex]$\{ a_n \}= \{\frac{1}{5}, n \}$[/tex]
This sequence is monotonically decreasing and bounded.
0 < [tex]$ a_n $[/tex] < 1
Hence, { [tex]$ a_n $[/tex] } converges.
b). r = 1
{ [tex]$ a_n $[/tex] } = { n }
This sequence is monotonically increasing sequence which is not bounded.
Hence, { [tex]$ a_n $[/tex] } diverges.
c). r = 1/6
[tex]$\{ a_n \}= \{\frac{1}{6}, n \}$[/tex]
This sequence is monotonically decreasing and bounded.
0 < [tex]$ a_n $[/tex] < 1
Hence, { [tex]$ a_n $[/tex] } converges.
For |r| < 1, the [tex]$a_n$[/tex] converges.
Point r is on line segment qs. Given qr =2 and rs = 10, determine he length qs.
Answer:
[tex]\huge \boxed{\mathrm{12}}[/tex]
Step-by-step explanation:
R is a point on the line segment QS.
QR = 2
RS = 10
QS = 2 + 10
QS = 12
The length of the line segment QS is 12 units.
Given that, point R is on the line segment QS. Given QR =2 and RS = 10.
We need to determine the length of QS.
What is the line segment?A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.
Here, since R is in between QS, QS=QR+RS
=2+10=12 units
Therefore, the length of the line segment QS is 12 units.
To learn more about the line segment visit:
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Simplify 1 - 3s - s + 8 - 2
Step-by-step explanation:
first you group like terms.
-3s-s+8+1-2
-4s+7
Answer:
-4s + 7
Step-by-step explanation:
We need to combine like terms. Like terms are terms whose variables (and exponents) are the same (note that they could be constants as well). Basically, they are "like" each other. In this case, the like terms are -3s and - s and also 1, 8, and -2. -3s - s = -4s and 1 + 8 - 2 = 7 so the answer is -4s + 7.
. Which category(s) does 75% belong? I. Real II. Whole III.Rational IV. Integer V. Irrational VI. Natural * A. III and IV only B. I and III only C. I, II, IV, V, and VI only D. I, II, III, IV, and VI only E. I, II, and III
Answer: B.) 1 and 111 only.
Step-by-step explanation:
75% = 75/100 = 0.75
0.75 falls into the category of rational numbers. Rational numbers comprises of numbers which can be expressed in the form a/b where a and b are integers and B is not 0. Here, both 75 and 100 are integers, thus 75% is a rational number.
Irrational numbers are the opposite of rational numbers thus, 75% is not irrational.
All rational numbers and irrational numbers are REAL numbers, hence, 75% is a real number.
Natural numbers are whole digits starting from 1 e.g ( 1, 2, 3,......). Hence 75% is not a natural number
Whole numbers are natural numbers including 0. (0, 1, 2,.....). Hence, 75% is not a whole number
Integer numbers are comprises of both positive and negative whole numbers. (..., - 1, - 2, 0, 1, 2,...). Hence, 75% is not an integer.
A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression ANOVA shows the following results: ANOVA df SS MS F Significance F Regression 1.00 13555.42 13555.42 156.38 0.00 Residual 8.00 693.48 86.68 Total 9.00 14248.90 What is the value of the standard error of estimate
Answer:
9.31
Step-by-step explanation:
Given the following :
- - - - - - - - - - df - - - - - SS - - - MS - - - F - - - signiF
Regression - 1 - 13555.42 - 13555.41 - 156.38 - 0
Residual - - 8.00 - 693.48 - - 86.68
Total - - - - 9.00 - 14248.90
What is the value of the standard error of estimate?
The standard error estimate :
Mean square error or Residual (MSE)
Standard Error (SE): √MSE
MSE = 86.68
Standard Error = √86.68
Standard error = 9.3102094
= 9.31
There are only HB and F type pencils in the store. The ratio of the number of HB to F is 7 : 3. If there are 15F type pencils, how many pencils are there altogether?
Answer:
50
Step-by-step explanation:
Ratio is
7 : 3Total number is
7x + 3x = 10xSince F type pencils number is known:
3x = 15 x = 15/3x = 5Then total number is:
10x = 10 *5 = 50Find the sum of all $r$ such that $\frac{8r^2 - 14 r + 3}{r+5} = 4r -1$.
Answer:
8.25
Step-by-step explanation:
[tex]\frac{8r^2 - 14 r + 3}{r+5} = 4r -1[/tex]
[tex]8r^2 - 14r + 3= (4r -1)(r + 5)[/tex]
[tex]8r^2 - 14r + 3= 4 {r}^{2} + 19r - 5[/tex]
[tex]4 {r}^{2} - 33r + 8=0[/tex]
[tex]4 {r}^{2} - 32r - r + 8 = 0[/tex]
[tex]4r(r - 8) - 1(r - 8) = 0[/tex]
[tex](4r - 1)(r - 8)[/tex]
[tex]r = 8 \: or \: \frac{1}{4} [/tex]
Therefore the sum of all values of r
[tex]8 + \frac{1}{4} = 8 \frac{1}{4} [/tex]
change these percentage to decimals. 1. 40%. 2. 35%. I want to know how to solve it.
Answer:
1. 40 % is 40 / 100
by cancelling it the output is 2 /5
2. 35% is 35 / 100
7 / 20 is your answer
plz brainlist me and follow me
subtract the sum of -1 37 and - 43 from the sum of - 103 and 27
Step-by-step explanation:
Hey, there!!
I hope you mean to subtract (-137) +(-43) from sum of -103 and 27.
First, add -103 + 27
[tex] = - 103 + 27[/tex]
[tex] = - 76[/tex]
{As ( minus + plus )= subtracts with sign which has greator value. }
now,
[tex]( - 137) + ( - 43) = - 180[/tex]
{ minus + minus = add with minus sign}.
Now, subtracting -180 from -76.
=(-76) - (-180 )
Now, multiply the sign (- × -)= +
so, -180 becomes +180
= -76+180
= 104..... is answer.
Hope it helps...
Answer:
104
Step-by-step explanation:
With what you provide, the expression would be:
[tex](-103+27)-(-137+-43)[/tex], which equals to:
[tex](-76)-(-180)= (-76)+(180)=104[/tex]. [negative minus a negative equals positive]
So, the answer would be 104.
find the x-intercept for y=x^2+4x+5
Answer: There is no x-intercept for this quadratic equation.
Step-by-step explanation:
An x-intercept is when the y-value of the point if equal to zero. There is no x-intercept for this quadratic equation. This can be supported by the fact that this equation cannot be factored.
HELP PLEASE!! I DONT UNDERSTAND!!!!!!!!!! THANKS SO MUCH
Hello, please consider the following.
We will multiply the numerator and denominator by
[tex]4+\sqrt{6x}[/tex]
to get rid of the root in the denominator.
First of all, we cannot divide by 0, right? So, we need to make sure that the denominator is different from 0.
[tex]4-\sqrt{6x} =0<=>\sqrt{6x}=4\\\\\text{Take the square}\\\\6x=4^2=16\\\\x=\dfrac{16}{6}=\dfrac{8}{3}[/tex]
We need to take any x real number different from 8/3 then and simplify the expression.
Let's do it!
[tex]\begin{aligned}\dfrac{4}{4-\sqrt{6x}}&=\dfrac{4(4+\sqrt{6x})}{(4+\sqrt{6x})(4-\sqrt{6x})}\\\\&=\dfrac{4(4+\sqrt{6x})}{(4^2-\sqrt{6x}^2)}\\\\&=\dfrac{4(4+\sqrt{6x})}{(16-6x)}\\\\&=\dfrac{2(4+\sqrt{6x})}{(8-3x)}\\\\&\large \boxed{=\dfrac{8+2\sqrt{6x}}{8-3x}}\end{aligned}[/tex]
Thank you
Please help! I’ll mark you as brainliest if correct
Answer:
3. C
Step-by-step explanation:
16 / 4 = 4 which is a counting number.
- 30 / 5 = -6 which is a integer.
-31/8 = -3.875 which is rational number
30/9 = 10/3 = 3.333333333.... which is an irrational number
So your answer is C
PLEASE HELP!
Use the values x = -0.5,0,1 to prove your solution to the equation 5 + x - 12 = 2x - 7 . In your final answer, include all of your calculations.
Answer:
0
Step-by-step explanation:
Hello!
To solve this we put in the values given to us for x and go till we get one this is true.
The values given for x are -0.5, 0, and 1
1
5 + 1 - 12 = 2(1) - 7
Combine like terms
-6 = -5
Since -6 does equal -5 the answer is not 1
0
5 + 0 - 12 = 2(0) - 7
Combine like terms
-7 = -7
Since -7 equals -7 the answer is 0
Hope this Helps!
Please help me, I don't understand how to do this! :(
Answer:
1/273
Step-by-step explanation:
5/15 * 4/14 * 3/13 * 2/12
= 1/3 * 2/7 * 3/13 * 1/6
= 1/273
To which subsets of numbers does 30/15 belong?
A whole, rational
B integer, rational
C whole, integer, rational
D natural, whole, integer, rational
Answer:
Step-by-step explanation:
For
The number 30 / 15 belongs to the whole, integer, and rational numbers. the correct option is C.
What is a number system?
A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols.
The number set from 0 to infinity are called whole numbers. The number set from negative infinity to positive infinity are called integers.
A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.
The given number 30 / 15 is in the form of a rational number that can also be written as 2. Then the number 30 / 15 can be the whole, integer, and rational number.
To know more about the number system follow
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PLet f be a function that is defined for all real numbers x. Of the following, which is the best interpretation of the statement lim x->3 f(x)=5?
Answer:
C
Step-by-step explanation:
The definition of a limit is the value a function it is approaching as the limit approaches a certain point.
We have the limit:
[tex]\lim_{x\to3} f(x)=5[/tex]
In other words, the value of f(x) as x approaches 3 approaches 5.
We do not care what happens at x=3. Rather, the limit tells us that as x approaches or gets closer to x=3, the function f(x) gets closer to 5.
Thus, the correct answer is C.
2) Write an equation of a line that would be perpendicular to y = -x-8?
Answer:
Step-by-step explanation:balls
Please help me
Write an equation for the question
You withdraw $100 from the ATM machine. The new balance is $372. What was the ordinary balance b of your account?
Answer:
B-$100=$372
The is is the smartest way I could look at this
OR
$372 - $100= b
Hope this helps
MARNIE OUT!
The data show systolic and diastolic blood pressure of certain people. Find the regression equation, letting the systolic reading be the independent (x) variable. Find the best predicted diastolic pressure for a person with a systolic reading of 146 . Is the predicted value close to 91.0 , which was the actual diastolicreading? Use a significance level of 0.05.Systolic 117 134 150 113 138 113 144 145Diastolic 85 74 86 55 75 80 106 841. What is the regression equation? (Round to two decimal places as needed.)2. What is the best predicted diastolic pressure for a person with a systolic reading of 146 ?3. Is the predicted value close to 91.0 , which was the actual diastolic reading?A. The predicted value is very close to the actual diastolic reading.B. The predicted value is not close to the actual diastolic reading.C. The predicted value is close to the actual diastolic reading.D. The predicted value is exactly the same as the actual diastolic reading.
Answer:
ŷ = 6.69X - 706.18 ; ŷ = 270.56 ; B. The predicted value is not close to the actual diastolic reading.
Step-by-step explanation:
Systolic reading(x) :
117
134
150
113
138
113
144
145
Diastolic (y) :
85
74
86
55
75
80
106
841
Using the online regression calculator, the regression equation obtained using the data values provided above is:
ŷ = 6.69X - 706.18
Comparing with the regression equation formula: ŷ = mX + c
Where :
ŷ = predicted variable (Diastolic)
m = 6.69 = gradient or slope of the regression line
c = - 706.18 = intercept ( where the regression line intersects the y-axis).
2.) What is the best predicted diastolic pressure for a person with a systolic reading of 146
X = 146
ŷ = 6.69(146) - 706.18
ŷ = 976.74 - 706.18
ŷ = 270.56
The predicted value, 270.56 is not close to the actual Diastolic reading of 91.0
What is an equation of the line that passes through the point (6, -2) and is parallel
to the line 5x + 3y = 6?
Answer:
y= -5/3x + 8
Step-by-step explanation:
parallel lines have the same slope
5x + 3y = 6
3y = -5x + 6
y = -5/3x + 2
the new line will have the slope (-5/3x)
y = (-5/3x) + b
plug in the (x, y) value to find b
-2 = -5/3(6) + b
-2 = -10 + b
b = 8
your equation is: y= -5/3x + 8
Declan says that for any number n the product 4 x n is greater than 4 which vaule of n shows why Declan incorrect
Answer:
see below (I hope this helps!)
Step-by-step explanation:
When n < 1, Declan's statement is incorrect because 4 * 0 = 0 which is not greater than 4 and this continues for all n values that are less than 1.
Kimberly's grade in Algebra is comprised of tests (40%), quizzes (40%), and a final project (20%). Her scores for each of the categories are 82 on tests, 100 on quizzes, and a 84 on her final project. Compute her weighted average for the class. (to the nearest tenth of a percent) A) 86.4% B) 88.6% C) 89.1% D) 89.6%
Answer:
D) 89.6 %
Average or mean of the given data = 89.6 %
Step-by-step explanation:
Step(i):-
Given data
X : 82 100 84
P(X=x) : 0.40 0.40 0.20
Step(ii)
Let 'X' be the discrete distribution
Mean of the discrete distribution = ∑ x P( x=x)
= 82 ×0.40 +100 ×0.40 +84 ×0.20
= 89.6
Final answer:-
Average of the given data = 89.6 %