Answer:
x=7
Step-by-step explanation:
2x+1=15
-1 -1
2x=14
/2 /2
x=7
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
Learn more about numbers in https://brainly.com/question/24908711
#SPJ1
the dimension of the confirms room or 7.2 M * 11 M what is the area of the conference room
Step-by-step explanation:
Just multiply the two dimensions to get m^2 area
7.2 m * 11 m = 79.2 m^2
|-13.5-(-4 1/5)| times 1.4 plus (-2) to the power of 2
In summary |-13.5 - (-4 1/5)| × 1.4 + (-2)²2 is equal to 17 3/5.
How to solve?
|-13.5 - (-4 1/5)| = |-13.5 + 4 1/5| [Subtracting a negative is equivalent to adding a positive]
= |-9 4/5|
= 9 4/5
Now, we can substitute the values and simplify the expression:
|-13.5 - (-4 1/5)| × 1.4 + (-2)²2
= 9 4/5 × 1.4 + (-2)²2
= 13 3/5 + 4
= 17 3/5
Therefore, |-13.5 - (-4 1/5)| × 1.4 + (-2)²2 is equal to 17 3/5.
An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), connected by an equal sign (=).
For example, the equation 3x + 5 = 14 is an equation that shows that the expression 3x + 5 is equal to the expression 14. This equation can be solved for x to find the value of x that makes the equation true.
To know more about Equation related question visit:
https://brainly.com/question/29657983
#SPJ1
what is the answer pls Question 29 of 45
In the triangle below, what is the length of MN?
OA. 50
OB. 100
OC. 20
OD. 40
50
20
M
50
The calculated length of the segment MN in the triangle is 20
How to find the length of the segment MN in the triangleFrom the question, we have the following parameters that can be used in our computation:
The triangle
The third angle in the triangle is calculated as
Third angle = 180 - 50 - 50
Evaluate
Third angle = 80
The length of the segment MN is then calculated as
MN/sin(50) = 20/sin(50)
This gives
MN = sin(50) * 20/sin(50)
Evaluate
MN = 20
Hence, the length of the segment MN in the triangle is 20
Read more about law of sines at
https://brainly.com/question/30974883
#SPJ1
Help!! Pythagorean theorem
Answer:
The Pythagorean theorem only works for right triangles. This is not a right triangle.
x = 23
All interior angles of a triangle = 180 degrees.
A + B + C + 180
(3x) + (2x+12) + (2x+7) = 180
7x + 19 = 180
7x = 161
x = 23
A = 3(23) = 69 degrees
B = 2(23) + 12 =58 degrees
C = 2(23) + 7 = 53 degrees
Answer:
x=23
Step-by-step explanation:
u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
express (25 1/2) ^3 in simplest radical form
Step-by-step explanation:
i think this is the answer if it's wrong I'm sorry
How many cookies are there per box? What if there were 50 cookies in 5 boxes how many cookies per box?
Answer:
Easy 10 cookies per box
Step-by-step explanation:
50/5 = 10
The number 2/5 is both an blank and an blank
The number 2/5 is both a ratio and a fraction.
How to describe the numberThe number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.
The expression is also a ratio because it indicates the quantitative relationship between the figures.
Learn more about ratios and fractions here:
https://brainly.com/question/2328454
#SPJ1
If it takes 7.1 pounds of seeds to plant one acre of grass, how many acres can be planted with 7.81 pounds of seeds
The answer is 1.1 acres.
Given data:
A group of scientists studied the amount of erosion at a beach. The scientist determined that the equation y=-0.5x+26 models the amount of shoreline,y,in feet,x decades after 1950.What state is true based on the model?
Answer:
Try A
Step-by-step explanation:
The shoreline is reduced by 0.5 feet every 10 years. Then the correct option is A.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A group of scientists studied the amount of erosion at a beach. The scientist determined that the equation is given below.
y = -0.5 x + 26
The shoreline is reduced by 0.5 feet every 10 years. Then the correct option is A.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Please help me and thanks in advance
Thompson Middle School is painting a circle on their playground with a radius
of 14 feet. What will be the total area of the circle, in square feet?
Use t = 3.14, and round your answer to the nearest hundredth.
Answer:
The answer will be 615.4
Step-by-step explanation:
What you have to do is multiply 3.14 to 14 square and you round it.
jonh bought $75 worth of books, he payed $81 including tax. what is the tax rate?
Answer:
7.41% is the tax rate
Step-by-step explanation:
81 - 75 = 6
6 is 7.41% of 81
Draw the net and calculate the surface area .
Hello!
surface area
= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)
= 160cm²
If you deposited $500 in an account that earned 3% interest each year, how much would you have in total after 5 years?
A
$75
B
$425
C
$575
D
$8,000
Answer:
I believe its C, have a good day!
Step-by-step explanation:
A = $575.00
I = A - P = $75.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year.
Solving our equation:
A = 500(1 + (0.03 × 5)) = 575
A = $575.00
The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 3% per year for 5 years is $575.00.
You get hired for a job through ACME Employment Agency. You signed a contract that requires you to pay 20% of your first 6 weeks pay. The job pays you $42,700 per year. How much must you pay ACME for their services?
For each linear function graphed on the coordinate grid, enter the value of m and the value of b. Give your answers as fractions in simplest form. 8 6 5 183 4 3 2 1 3 -3 - 3 -10 -98 lo S 910 f(x), red line: g(x), blue line: m= h(x), green line: m = Check Answer Next Question Question 6 of 8 POWER ? XKNEWTON ! Turn it in Save & Close O E e
Answer:
f(x), Red Line: m = -½; b = 2
g(x), Blue Line: m = ⅓; b = -1
h(x), Green Line: m = 3; b = 0
Step-by-sep explanation:
✍️Note the following:
✔️The slope of a line, m, = \( \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} \)
✔️y-intercept, b, = the point on the y-axis where the line intercepts the y-axis, and where x = 0.
f(x), Red Line:
Using 2 points on the red line, (6, -1) and (8, -2)
slope (m) = \( \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 -(-1)}{8 - 6} = \frac{-1}{2} \)
m = -½
The red line intercepts the y-axis at y = 2, therefore:
b = 2
g(x), Blue Line:
Using 2 points on the blue line, (0, -1) and (3, 0)
slope (m) = \( \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{3 - 0} = \frac{1}{3} \)
m = ⅓
The blue line intercepts the y-axis at y = -1, therefore:
b = -1
h(x), Green Line:
Using 2 points on the green line, (0, 0) and (1, 3)
slope (m) = \( \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{1 - 0} = \frac{3}{1} = 3 \)
m = 3
The green line intercepts the y-axis at y = 0, therefore:
b = 0.
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Required:
Develop a confidence interval estimate of the population mean rating for Miami.
Answer: 6.8622 ; 8.1778
Step-by-step explanation:
Given the data:
2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9
Assume a confidence interval of 95%
Using calculator :
The mean of the distribution (m) = 7.52
Standard deviation (s) = 2.314
Sample size),
Obtaining the t score ;
Degree of freedom (df) = (n-1) = 50 - 1 = 49
t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)
Margin of Error :
2.01 * s/√n = 2.01 * 2.314/7.0710678
Margin of Error (E) = 0.6578
Confidence interval:
(Mean - E) ≤μ≤ (mean + E)
(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)
6.8622 ≤μ≤ 8.1778
Mrs. Wright is planning her best friend's baby shower. She calculates that the food will cost $9 per guest, and she has already spent $43 on decorations.
Write an equation showing how the cost of the baby shower, y, depends on the number of guests, x.
Do not include dollar signs in the equation.
Answer:
The equation that shows how the cost of the baby shower, y, depends on the number of guests, x is:
y = 9x + 43
In this equation, x represents the number of guests and y represents the cost of the baby shower. The term 9x represents the cost of food for each guest, multiplied by the number of guests. The term 43 represents the cost of decorations that has already been spent. Therefore, the total cost of the baby shower can be calculated by multiplying the number of guests by the cost of food per guest and adding the cost of decorations that have already been spent.
Answer: y = 9x + 43
Step-by-step explanation: y = cost of the baby shower
x = number of guests
$9 per guest would be 9x
Factor: x(3y-5)+3(3y-15)
3xy-5x+9y-45
Step-by-step explanation:
Step by Step Solution
STEP1:STEP2:Pulling out like terms
2.1 Pull out like factors :
3y - 15 = 3 • (y - 5)
Equation at the end of step2: (x • (3y - 5)) + 9 • (y - 5) STEP3:Equation at the end of step 3 x • (3y - 5) + 9 • (y - 5) STEP4:Trying to factor a multi variable polynomial
4.1 Split 3xy-5x+9y-45
4.1 Split 3xy-5x+9y-45
into two 2-term polynomials
-5x+3xy and +9y-45
This partition did not result in a factorization. We'll try another one:
3xy-5x and +9y-45
This partition did not result in a factorization. We'll try another one:
3xy+9y and -5x-45
This partition did not result in a factorization. We'll try another one:
3xy-45 and +9y-5x
This partition did not result in a factorization. We'll try another one:
-45+3xy and +9y-5x
This partition did not result in a factorization. We'll try
how do you find the height of a cone using the slanted height PLEASE HELP! MAKE SURE ANSWER IS CLEAR
Answer:
Step-by-step explanation:
Well you can't find the height of the cone using only the slant height because there simply isn't enough information
S = Slant Height
R = Radius
H = Height
However if you had the radius of the base of the cone, then you can use the Pytagorean theorem like so: H = square root(S^2 - R^2)
If you had the angle the slant made against the base, you could use:
H = S*sin(Angle)
IF CORRECT WILL MARK BRAINLIEST
Answer:
2. x = 3
m of MAN = 40
m of RAM = 140
m of RAN = 180
Step-by-step explanation:
(50x-10)+(8x+16)=180
x = 3
50(3)-10 = 140
8(3)+16 = 40
hope this helps!!
the staircase below has 12 steps. find the distance from point A to point B (in feet). round your answer to the nearest tenth.
The staircase below has 12 steps. Find the distance from point A to point B (in feet). round your answer to the nearest tenth.
______________________________________________________________________
_________________________________________________________________
The distance from point A to point B = 12* steps
______________________________
Pythagoras theorem
H^2 = S1^2 + S2^2
H= hypotenuse
S= sides
______________________
H^2 = 10^2+ 8^2
H = √ 10^2+ 8^2
H= 2 √ 41 in
_________________________
Form in to ft
12 in = 1 ft
H (ft)= 2 √ 41 in * 1ft/ 12 in = √ 41 /6
_________________________
The distance from point A to point B = 12* steps
= 12 * √ 41 /6 = 2 √ 41
______________________
Answer
The distance from point A to point B (in feet) is 2 √ 41 = 12. 8
_________________________
Can you see the updates?
Do you have any questions regarding the solution?
If you do not need further explanation on this question, we can end the session.
I want to remind you this answer will always be saved in your profile. I’d really appreciate you letting me know how I did by rating our session after you exit. Thanks, and have a great day!
10
Nate had 30 minutes to do a three-problem quiz. He spent 11 minutes on question A and 3
minutes on question B. How much time did he have left for question C?
what is the median of the number 10 12 13 15 16 19 25?
Answer:
15 is the middle number
Step-by-step explanation:
BECAUSE IF YOU COUNT FROM THE LEFT AND RIGHT AND WHICH NUMBER APPEARS IN THE MIDDLE IS YOUR MEDIAN
Answer:
15
Step-by-step explanation:
this asks for the median, and not the mean value.
please notice that these 2 values are often if not mostly different from each other.
the median just defines the middle of the value interval, so that half of the different values are left, and half are right of that median value.
here we have 7 values. do we find one, so that 3 other values are smaller, and 3 other values are bigger than that ?
that is 15.
10, 12, 13 are smaller.
16, 19 and 25 are bigger.
so, 15 is the median.
A painter leans a 12-foot ladder against a wall. The angle of elevation of the ladder is 55.
Answer:
9.83cm
Step-by-step explanation:
Since we are not asked what to look for. We can find the height of the wall.
Let the height of the wall be H
Given
Length of the ladder l = 12fot
Angle of elevation = 55degrees
Required
Height of wall H
Using the SOH CAH TOA identity
SIn theta = opp/hyp
Sin 55 = H/12
H - 12sin55
H = 12(0.8192)
H = 9.83cm
Hence the height of the ladder is 9.83cm
A box of 20 dvds is worth $240.00 the box contains some DVDs worth $12.00 each and some DVDs worth 16.00 each. Which system of equations can be used to determine x, the number of $12.00 DVDs and y the number of $16.00 DVDs?
Answer:
B.
Step-by-step explanation:
Find the next sequence.
1/5,1/12,1/19,1/26,1/33
Answer:
1/40
Step-by-step explanation:
the difference between each denominator is 7 so continue this
12-5=7
19-12=7
26-19=7
33-26=7
x-33=7
x=33+7=40
Answer:
1/40, 33+7=40
1/47, 40+7=47
1/54,
1/61,
1/68
because each denominator is incresing by 7 so you have to add 7 to.the denominator keeping the nominator
Which choice is equivalent to the expression below? √-12
A. 12i
B. -12i
C. -2√3
D. 2i √3
E. -2√3i
PLEASE DON’T GUESS
Answer:
D. 2i√3
Step-by-step explanation:
You have the expression √-12. You can divide the number in the radical sign into the numbers that make up the expression. After you do this, you will be able to take numbers out of the radical sign
√(-12)
√(-1 × 4 × 3)
√-1 = i
√4 = 2
√3 = √3
2i√3
The answer is D.
Is the relation shown in the table below a function? (type in yes or no)
Answer:
Yes
Step-by-step explanation:
To know if a table is a function or not, we have to see if 1 input only has 1 output.
Looking at the table each input only has 1 output, so it is a function.
The 98 percent confidence interval (−0.248,−0.134) was constructed to estimate the slope of a regression model for a bivariate data set with 20 values. Alice claims that a sample size of 25 will produce a narrower interval, all other things remaining the same. Desmond claims that a sample size of 15 will produce a narrower interval. Which statement is true about the claims made by Alice and Desmond?
a. Alice’s claim is correct.
b. Desmond’s claim is correct.
c. Both Alice’s claim and Desmond’s claim are correct.
d. Neither Alice’s claim nor Desmond’s claim is correct.
e. There is not enough information to determine whether the claims are correct.
Answer:
a. Alice’s claim is correct.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval is inversely proportional to the sample size. This means that a smaller sample size leads to a smaller margin of error and a narrower interval, while a larger sample size leads to a larger margin of error and a wider interval.
Alice claims that a sample size of 25 will produce a narrower interval
25 > 20, so smaller margin of error and narrower interval, which means that Alice is correct.
Desmond claims that a sample size of 15 will produce a narrower interval.
15 < 20, so larger margin of error and wider interval, which means that Desmond is wrong.
So the correct answer is given by option a.