Answer:
the value of x is 0.2105
Step-by-step explanation:
A photo collage consists of seven equal-sized square photos arranged in a row to form a rectangle. If the total area of the collage is 567 square inches, what is the length of the collage? __ inches
Given:
Seven equal-sized square photos arranged in a row to form a rectangle.
Total area of the collage is 567 square inches.
To find:
The length of the collage.
Solution:
Let the side of each square be x inches.
Seven equal-sized square photos arranged in a row to form a rectangle.
So, length of rectangle is 7x and width is x.
Area of rectangle is
[tex]Area=Length\times width[/tex]
[tex]567=7x\times x[/tex]
[tex]567=7x^2[/tex]
[tex]\dfrac{567}{7}=x^2[/tex]
[tex]81=x^2[/tex]
Taking square root on both sides, we get
[tex]x=\pm \sqrt{81}[/tex]
[tex]x=\pm 9[/tex]
Side cannot be negative. So, x=9 inches.
Now,
Width = 9 inches
Length = 7(9) = 63 inches
Therefore, the length of the rectangle is 63 inches.
S= CB-7, for C.
What is the Answer to this?
Answer:
C = (S + 7) / B
Step-by-step explanation:
S = CB - 7
S + 7 = CB
C = (S + 7) / B
Hope this helps!
What is the slope of the line that passes through the points (-6,-4) and
(-12, –4)? Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
Use slope intercept form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-4-(-4)}{-12-(-6)}[/tex] = [tex]\frac{0}{-6}[/tex] = 0
Solve for each variable in the equation 5x+6y+7z=90
a. x
b. y
c. z
d. How are the results in parts (a)-(c) related?
Help! Due at 12:59.
(-1, 3)
(-5, -5)
(0, -4)
(1, 2)
(4, 4)
(3, 8)
What is the standard deviation of this data set? Use a calculator to help you.
Round your answer to the nearest tenth.
11,16, 22, 28, 29, 30, 31, 34, 37, 38, 43, 49, 56, 78,99
Answer:
23.2
Step-by-step explanation:
The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation
23.2
The standard deviation of the given data set, with a mean of 40.06, is approximately 23.2 (rounded to the nearest tenth).
Option B is the correct answer.
We have,
Find the mean:
Mean = (11 + 16 + 22 + 28 + 29 + 30 + 31 + 34 + 37 + 38 + 43 + 49 + 56 + 78 + 99) / 15
= 601 / 15
= 40.06
Subtract the mean and square the differences:
(11 - 40.06)² = 844.48
(16 - 40.06)² = 578.8836
(22 - 40.06)² = 326.1636
(28 - 40.06)^² = 145.4436
(29 - 40.06)² = 122.3236
(30 - 40.06)² = 101.2036
(31 - 40.06)² = 82.0836
(34 - 40.06)² = 36.7236
(37 - 40.06)² = 9.3636
(38 - 40.06)² = 4.28
(43 - 40.06)² = 8.6436
(49 - 40.06)² = 79.92
(56 - 40.06)² = 254.0836
(78 - 40.06)² = 1439.4436
(99 - 40.06)² = 3473.9236
Calculate the mean of the squared differences:
The mean of squared differences.
= 7506.9632/15
= 500.4642
Take the square root of the mean squared differences:
Standard deviation = √(500.4642)
Standard deviation ≈ 23.223
Therefore,
The standard deviation of the given data set, with a mean of 40.06, is approximately 23.2.
Learn more about standard deviations here:
https://brainly.com/question/29115611
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Holly says 4.131131113... is a rational number. Which of the following best describes whether Holly is correct and why??
Holly is correct. Repeating decimals are always rational numbers.
Holly is correct. The number is positive and all positive numbers are rational.
Holly is incorrect. The decimal does not terminate, so it cannot be a rational number.
Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
Answer:
D. Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
The double number line shows that 555 pounds of avocados cost \$9$9dollar sign, 9.
Based on the ratio shown in the double number line, what is the cost for 111 pound of avocados?
Answer:
1 pound of avocado costs $1.8
Step-by-step explanation:
Allow me to rewrite your question for a better understanding and hope it ill fit the original one:
The double number line shows that 5 pounds of avocados cost $9. Based on the ratio shown in the double number line, what is the cost for 1 pound of avocados?
Here is my answer:
Given that:
5 pounds avocados = $9
They want to find out:
cost of 1 pound of avocado
So we use division to solve this problem:
$9:5 pounds = $1.8/pound or:
1 pound of avocado costs $1.8
Hope it will find you well
Thank you.
can i get brainliest by any chance i need 2 more
Slope is -1/2 and (-3,2) is on the line
8n+16.2=1.6 what is the variable n
Answer:
n= -1.825
Step-by-step explanation:
A piece of ribbon that is 8 and 1/3 yards long will be cut into 5 equal pieces to make bows. How much ribbon will be used foe each bow?
Answer:
yes
Step-by-step explanation:
Answer: 1 2/3 yards for each bow
Step-by-step explanation:
8 1/3 divided by 5 = 25/3 * 1/5 = 5/3
CAN SOMEONE PLEASE HELP ME WITH GRAPHING THIS? AND PLEASE EXPLAIN HOW TO GRAPH IT
I need answer ASAP I’m next 10 mins
Answer:
B
Step-by-step explanation:
First simplify the first term to get
10y^4
then multiply 10y^4 by 4 square root 6y^3
40y would be all you needed to get answer
Answer:
40y^5√6y (B)
Step-by-step explanation:
Let's multiply 2√25y^8 * 4√6y^3:
8√150y^11 (When you multiply exponents with the same base, you can just add the exponents and keep the same base:
Ex. 4^5 * 4^9 = 4^14)
Let's simplify 8√150y^11
√150 = 5√6
√y^11 = y^5√y
So our final answer would be:
40y^5√6y
which type of association is grown on this graph?
Answer/Step-by-step explanation:
This graph represents a negative association.
As x increase, y decreases showing that the points are descending or having a negative association.
V(t), left parenthesis, t, right parenthesis models the number of visitors in a park as a function of the outside temperature t (in degrees Celsius).
Look at picture posted below.
t 18 20 37
------------------------
v(t) 10 18 46
When does the number of visitors in the park increase faster?
Choose 1 answer:
(A). Between outside temperatures of 181818 degrees Celsius and 202020 degrees Celsius
(B). Between outside temperatures of 202020 degrees Celsius and 272727 degrees Celsius
(C).The number of visitors increases at the same rate over both intervals
Answer:
The number of visitors increases at the same rate over both intervals
Step-by-step explanation:
The unit rate at which the number of visitors in the park increases over a given temperature interval is called the average rate of change, or ARCARCA, R, C.
To find the average rate of change of a function over an interval, we need to take the total change in the function value over the interval and divide it by the length of the interval.
Hint #22 / 3
We are asked to compare the rates at which the number of visitors increases over the interval between an outside temperature of 181818 degrees Celsius and 202020 degrees Celsius, and over the interval between an outside temperature of 202020 degrees Celsius and 272727 degrees Celsius. These correspond to the domain intervals [18,20][18,20]open bracket, 18, comma, 20, close bracket and [20,27][20,27]open bracket, 20, comma, 27, close bracket.
Let's calculate the average rate of change of VVV over those intervals:
ARC_{[18,20]}ARC
[18,20]
A, R, C, start subscript, open bracket, 18, comma, 20, close bracket, end subscript ARC_{[20,27]}ARC
[20,27]
A, R, C, start subscript, open bracket, 20, comma, 27, close bracket, end subscript
\begin{aligned} \dfrac{V(20)-V(18)}{20-18}&=\dfrac{18-10}{2}\\\\&=\dfrac{8}{2}\\\\&=4\end{aligned}\quad
20−18
V(20)−V(18)
=
2
18−10
=
2
8
=4
\begin{aligned} \dfrac{V(27)-V(20)}{27-20}&=\dfrac{46-18}{7}\\\\&=\dfrac{28}{7}\\\\&=4\end{aligned}
27−20
V(27)−V(20)
=
7
46−18
=
7
28
=4
Hint #33 / 3
The average rate of change over the interval [18,20][18,20]open bracket, 18, comma, 20, close bracket is the same as the average rate of change over the interval [20,27][20,27]open bracket, 20, comma, 27, close bracket.
Therefore, the number of visitors increases at the same rate over both intervals.
Using the average rate of change, it is found that the correct option is:
(A) Between outside temperatures of 18 degrees Celsius and 20 degrees Celsius.
The rate of change of a function is given by the change in the output divided by the change in the input.
When the temperature changes from 18 to 20 degrees, the number of visitors increase from 10 to 18, thus, the rate of change is:
[tex]r = \frac{18 - 10}{20 - 18} = \frac{8}{2} = 4[/tex]
When the temperature changes from 20 to 37 degrees, the number of visitors increase from 18 to 46, thus, the rate of change is:
[tex]r = \frac{46 - 18}{37 - 20} = \frac{28}{17} = 1.65[/tex]
First case has higher rate of change, thus, option A is correct.
A similar problem is given at https://brainly.com/question/20732437
Find the missing term in the
geometric sequence.
Answer:
110.5
Step-by-step explanation:
208=13+(3-1)d
208=13+2d
-13. -13
195=2d
÷2. ÷2
97.5=d. (d means difference)
13(first term)+97.5=110.5(the answer
Answer:
36
Step-by-step explanation:
explain how multiplying 4/10 and 3/10 is similar to multiplying 0.4 and 0.3 (please only answer if you for sure know the answer!!)
what is the solution for x in the equation?
Answer:
x = 5/2 is the answer to the question
HELP ASAP FOR BRAINLIEST!!
Tell whether the expression in the pair is equivalent.
37.) 3(5 + z) and 15 + z
Answer:
Not equivalent
Step-by-step explanation:
The three would also be distributed to z making the correct equivalent expression 15+3z
What is the y-intercept of the graph of the linear function?
expand and simplify
(7 + √6)^(2). Give your answer in the form b+c√6
Step-by-step explanation:
[tex](7 \: + \: \sqrt{6} ) ^{2} [/tex]
[tex](7 + \sqrt{6)} (7 + \sqrt{6} )[/tex]
[tex]49 + 14 \sqrt{6} + 6[/tex]
[tex]55 + 14 \sqrt{6} [/tex]
The expanded and simplified answer is 55 + 14√6.
How to find the simplified form of an expression?The simplified form can be found by carrying out mathematical operations that are pending in the expression. Like the addition, subtraction, multiplication, or division of any number in the expression.
The given expression is expanded and simplified:Given: (7 + √6)^(2)
First, we have to square the expression and expand it.
(a + b)^2 = a^2 +2ab b^2
Similarly we can open the brackets of the given expression:
(7 + √6)^(2) = 49 + 2*7*√6 + 6
= 55 + 14√6
This is similar to the format b+c√6. Here b would be 55 and c would be 14. The given expression was expanded and written in the form of b+c√6.
Therefore, we have expanded and simplified the given expression as 55 + 14√6.
Learn more about the simplified form here: https://brainly.com/question/1698314
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PLEASEE HELP ASAP!!
WHAT IS THE SLOPE OF THIS GRAPH
Answer:
Step-by-step explanation:
(-4,0) (-2, -3)
(-3-0)/(-2+4)= -3/2
la siguinete tabla mustran la correspondencia entre dos variables. Determina si es funcion o relacion
Answer:
where's the table. on és la taula?
Step-by-step explanation:
2. Caleb needs to solve the problem 2,406 ÷ 6. In what place is the first digit of the quotient for the problem 2,406 ÷ 6?
Hope this helps!
Also can I please have Brainliest...?
Only if I'm right of course...
A punch recipe calls for 3/4 cups of Sprite for 1 and 1/4 cups of juice. How much Sprite is needed for 5 cups of juice?
the answer is 3
could I get brainlisted?
Pls help this is already past due
Answer:
Step-by-step explanation:
-5400/-450
12 minutes
Answer:
12 minutes
Step-by-step explanation:
If the rate of the plane is -450 meters per minute, then you have to use the "division" operation in order to know how much time it takes for the plane to reach an altitude of -5,400 meters.
-5,400 meters ÷ -450 meters/minute = 12 minutes
It will take 12 minutes for the plane to reach an altitude of -5,400 meters.
Let's check:
-450 meters x 12 minutes = -5,400 meters
Explain Long division in your own words using at least 3 sentences.
Answer:
form of devision that takes longer bc it a fraction or decimal. first you want to get rid of the decimals. then devide the numbers from the lowest to the highest
I may be wrong been for ever since I did it on paper
Answer:
arithmetical division in which the divisor has two or more figures, and a series of steps is made as successive groups of digits of the dividend are divided by the divisor, to avoid excessive mental calculation.l
hope it helps
Which of the following results in the expression 0.86 x 22?
Answer: 18.92
Step-by-step explanation: Multiply
22 by 0.86
Answer:
18.92
Step-by-step explanation:
Multiply 0.86 times 22
Kayla is 9 years younger than Jay. The sum of their ages is 73. How old is Kayla?
Kayle is 27 Jay is 46
Answer:
63
Step-by-step explanation:
Just subtract.
Write the recursive, arithmetic and explicit formula for the nth term of the sequence:
8, 1, -6, -13,... Then find the 10th term
Recursive Formula
[tex]\begin{cases}a_1 = 8\\a_n = a_{n-1}-7\end{cases}[/tex]
The top row says the first term is 8
The bottom row says that to get the nth term, we subtract 7 from the (n-1)th term. So basically we subtract 7 from each term to get the next term.
Note the subscripts tell us which term we're working with.
======================================================
Arithmetic Formula
We have a = 8 as the first term and d = -7 as the common difference.
a(n) = a + d(n-1)
a(n) = 8 + (-7)(n-1)
a(n) = 8 - 7n + 7
a(n) = -7n+15
The nth term arithmetic formula is a(n) = -7n+15
If you plug in n = 1, you should get a(n) = 8
If you plug in n = 2, you should get a(n) = 1
and so on.
=======================================================
Finding the 10th term
Plug in n = 10 to get
a(n) = -7n+15
a(10) = -7(10)+15
a(10) = -70+15
a(10) = -55
The 10th term is -55