Answer:
46.278cm
Step-by-step explanation:
(π+2)r
=πr+d
=9π+18=46.278cm
Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-intercepts (if they exist).
y = negative x squared + 15 x minus 56
a.
(-7, 0); (-8, 0)
c.
(-7, 0); ( 8, 0)
b.
( 7, 0); (-8, 0)
d.
( 7, 0); ( 8, 0)
Please select the best answer from the choices provided
When y = -x² + 15x - 56 then coordinates are is (c) (-7, 0); (8, 0).
What are the quadratic functions?Quadratic functions are a type of polynomial function of degree 2, which can be expressed in form f(x) = ax² + bx + c, where a, b, and c are constants, and x is the variable.
The graph of the given quadratic equation y = -x² + 15x - 56 can be plotted using a graphing calculator or any graphing tool. The x-intercepts are the points on the x-axis where the graph intersects the x-axis, i.e., the points where y = 0. By plotting the graph, we can determine the x-intercepts to be (-7, 0) and (8, 0), which correspond to option (c) (-7, 0); (8, 0).
Option (a) and (b) have incorrect x-coordinates for the x-intercepts, and option (d) has both positive x-coordinates for the x-intercepts, which is not correct based on the graph of the given quadratic equation.
Hence, option (c) is the correct answer.
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finding values of products and quotient functions
\(( \frac{r}{s} )(3) = \)
The product and the quotient of the functions are as follows:
(rs)(4) =8
(r / s)(3) = 2
How to solve function?A function relates input and output. It relates an independent variable with a dependent variable.
Therefore, let's solve the function as follows:
r(x) = 2√x
s(x) = √x
Therefore, let's find
(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8
Let's find
(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2
Therefore,
(rs)(4) =8
(r / s)(3) = 2
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What is the percent change from 310 to 155?
Answer: 50% decrease
Step-by-step explanation:
50% of 310 = 155
310-155=155
50% decrease :)
ANSWER: 50% decrease
SOLUTION:
50% of 310 = 155
310-155=155
So in all the answer is.......
50% decrease :)))))
-XOXOXO:)
I really need help!!!
Answer:
45inches
Step-by-step explanation:
i would appreciate it if you could help me! :) reward: 15 pts, 5 stars (if its right), and a thanks!
Answer:
9.92 x 10⁷
Also, if you could label this brainliest that would be a great help!
Thanks xx
-Dante
Answer:
Step-by-step explanation:
\((3.2*10^{5}})*(3.1*10^{2})=3.2*3.1* 10^{5+2}\\\\= 9.92*10^{7}\)
solve pls brainliest
Answer:
36
Step-by-step explanation:
w÷4=9
4•9=w
w = 36
no other number works
Consider the expression 5y+9
True or False: The variable in the expression is y.
Answer:
true
Step-by-step explanation:
The statement is true
Basically we take variables as alphabets eg. :- a , b , c
The sum of three numbers is 10. The sum of twice the first number, 4 times the second number, and 5 times the third number is 33. The difference between 6 times the first number and the second number is 28. Find the three numbers.
Answer:
5 2 3Step-by-step explanation:
The given relations allow us to write three equations in the three unknown values. We can let x, y, z represent the three numbers, in order.
__
x +y +z = 10 . . . . . . . the sum of the three numbers is 10
2x +4y +5z = 33 . . . . . designated sum is 33
6x -y = 28 . . . . . . . . 6 times the first is 28 more than the second
__
There are many ways to solve a system of equations like this. Perhaps one of the easiest is to enter the equations as an augmented matrix in your calculator, and let it do the work. (Some calculators will solve the equations directly.)
The three numbers are 5, 2, and 3.
_____
Additional comment
The third equation lets you write an expression for y in terms of x:
y = 6x -28
Substituting this into the first two equations, we get ...
x +(6x -28) +z = 10 ⇒ 7x +z = 38
2x +4(6x -28) +5z = 33 ⇒ 26x +5z = 145
Subtracting the second from 5 times the first of these equations gives ...
5(7x +z) -(26x +5z) = 5(38) -(145)
9x = 45 . . . . . the y-variable is eliminated
x = 5
Use equations from above to find z and y.
z = 38 -7x = 3
y = 6(5) -28 = 2
4.(03.06) Choose the point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1). O y + 3 = -5(x - 2) Oy - 2 = -5(x + 3) Oy+3 = - ] (x - 2) Oy-2=-****
Answer:the answer is D y-2= 1/5(x+3)
Step-by-step explanation:I took the test
y-2=-1/5(x+3) is the point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (-3, 2) and (2, 1)
m=1-2/2+3
=-1/5
So slope is -1/5.
Now let us find the point slope form
y-y₁=m(x-x₁)
y-2=-1/5(x+3)
Hence, y-2=-1/5(x+3) is the point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1).
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Which sets of values belong to the domain and range of a relation?
output values
Domain
values for the independent variable
input values
values for the dependent variable
Intro
Range
Done
Set of value that belong to the Domain are: Values of Independent, Variable, Input Values
Set of value that belong to the Range are: Output Values, Values of Dependent Variables.
What is a function ?Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.
The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A->B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.
Domain :
Values of Independent Variable
Input Values
Range :
Output Value
Values of Dependent Variables.
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The function f(x) = –StartRoot x EndRoot is represented by the graph. What is the range of the given function? {y | all real numbers} {y | y ≤ 0} {y | y ≥ 0}
Answer:
{y | y ≤ 0}
Step-by-step explanation:
The vertical extent of the graph is all values of y less than or equal to zero:
{y | y ≤ 0}
Answer: {y | y ≤ 0}
Step-by-step explanation: It is the correct answer <3 have an amazing day.
what is an equivalent expression for 1/4x
please help ASAP.
Answer:
x/4
Step-by-step explanation:
What is the domain of the function
Answer:
it will be the first one
Step-by-step explanation:
Here are some fractions. One of them is not equivalent to three tenths. Which fraction?
A. 6/20
B. 12/40
C. 30/100
D. 15/60
E. 24/80
Answer:
D. 15/60
Step-by-step explanation:
The equivilent fractions to 3/10 are:
3/10, 6/20, 9/30, 12/40, 15/50, 18/60, 21/70, 24/80, 27/90, 30/100, 33/110, 36/120, 39/130, 42/140, 45/150, 48/160, 51/170, 54/180, 57/190, 60/200...
Here is the website you can find that: https://coolconversion.com/math/equivalent-fractions/__3/10_
15/60 is not on there.
Hope this helped you!!!Rakeem is constructing a triangle. He knows that one side is 32 cm and another is 20 cm
What is the largest size for the last side of the triangle?
b. What is the smallest size for the last side of the triangle?
Answer:38
Step-by-step explanation:
A truck driver averages 62 miles per hour while delivering freight to a customer. On the return trip, the driver averages 50 miles per hour due to construction. The total driving time is 7 hours. How long did the return trip take? Round your answer to the nearest tenth of an hour.
Answer: 7 h and 20 min
Step-by-step explanation:
The return trip: 50
And hour : 7
So 50/7= the total return trip
50/7 = about 7.1428
Round to nearest 10th
Equals 7.20 so 7 h and 20 min is the total time.
you can continue to tranform 12=5x-3 into simpler form by adding 3 to both sides to get 15=5x when x =3 do youu get true statement
Answer:
yes
Step-by-step explanation:
12+3=5x-3+3
15=5x
15=5(3)
15=15
HELP ASAP PLS AND USE THE ANSWERS GIVEN!
Simplify the expression.
negative 15 plus the quantity negative 3 and seven tenths plus 9 and 15 hundredths end quantity divided by 5 all times 3 squared minus 4 and 7 tenths
−13.16
−9.89
0.49
20.11
The value of the given Fraction expression is -6.93.
What is Fraction?
A fraction is a mathematical expression that represents the division of a whole number or quantity into parts. It is written as two separate numbers, a numerator and a denominator, separated by a slash. The numerator represents the number of parts being considered, and the denominator represents the total number of parts. Additionally, fractions can also represent parts of a whole number. For example, the fraction 1/2 represents one part of a whole number that has been divided into two equal parts. Fractions can also be combined to create a sum of parts.
So, we have
-15 - 3.7 + 9.15/5 * 3^2 - 4.7
Evaluate the quotient and the exponent
So, we have
-15 - 3.7 + 1.83 * 9 - 4.7
Evaluate the product
-15 - 3.7 + 16.47 - 4.7
Evaluate the sum and the difference
-6.93
Hence, the value of the given fraction expression is -6.93 (none of the options is correct)
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(8.75-2.16)÷7.1+(4.5+1.3)÷4.3
Answer:
2.27700622339
Step-by-step explanation:
Calculated your welcome
Answer:
2.277
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
1. 6.59/7.1+(4.5+1.3)/4.3
2. 6.59/7.1+5.8/4.3
3. 0.928+5.8/4.3
4. 0.928+1.3488
5. = 2.277
Solve the equation.
-3.3m = -1.1
m =
Solve for n! Thank you!!!!
Answer:
\(m=1/3=0.\bar3\)
Step-by-step explanation:
So we have the equation:
\(-3.3m=-1.1\)
To solve for m, let's divide both sides by -3.3. So:
\(\frac{-3.3m}{-3.3}=\frac{-1.1}{-3.3}\)
On the left, the -3.3s cancel. On the right, cancel the negatives. So:
\(m=\frac{1.1}{3.3}\)
On the right, multiply both layers by 10 to get rid of the decimals. So:
\(m=\frac{1.1}{3.3}\cdot(\frac{10}{10})\)
Multiply:
\(m=\frac{11}{33}\)
Now, we can reduce. Divide both layers by 11. So:
\(m=\frac{11/11}{33/11}\)
Simplify:
\(m=1/3=0.\bar3\)
And we're done!
Make a rap about why a parallelogram is the best shape. Must be appropriate and at least a minute long. Giving brainless to whoever answers!!!
Ahem, here goes, my attempt at a minute-long rap in praise of the parallelogram:
Yo, listen up, the parallelogram is where it's at,
A shape so brilliant, the angles are sat.
Parallel sides that never converge,
Internal angles that never diverge.
Each side an equal length,
A geometry prodigy's dream length.
The diagonals intersect, another line through the middle they meet,
Creating symmetry so neat.
A rectangle it could be,
But it's oblong, not square, can't you see?
With depth and width in perfect balance we see,
A two-dimensional form of complexity.
While the square is simple, the parallelogram is hip,
A mathematical masterpiece, skip, skip, skip!
four right angles keep the shape so tight,
Parallel lines dominate left and right.
Rotated or reflected without a care,
Its structural integrity beyond compare.
triangles form at each corner you'll note,
Acute or obtuse, depends on the protractor's groove.
A versatile shape with reason and purpose galore,
The parallelogram, simply, carries the floor.
From geometry to art, its angles they intrigue,
As a basis for patterns, its potential we can truly plug.
A forgotten form that deserves more acclaim,
Put the parallelogram on geometry's game!
This shape so underrated, rarely appreciated it seems,
But with logic and virtue, strong foundations it gleams.
The parallelogram, the parallelogram, Hooray!
This is why the parallelogram is the best shape, I say!
Can someone help me on this question of: 40 - 3 • x = 25
Please explain step by step to get marked
Hey there!
40 - 3 * x = 25
-3x + 40 = 25
ADD 40 to BOTH SIDES
-3x + 40 - 40 = 25 - 40
CANCEL out: 40 - 40 because it gives you 1
KEEP: 25 - 40 because it helps solve for the x-value
NEW EQUATION: -3x = 25 - 40
SIMPLIFY
25 - 40 = -15
NEW EQUATION: -3x = -15
DIVIDE -3 to BOTH SIDES
-3x/-3 = -15/-3
CANCEL out: -3/-3 because it gives you 1
KEEP: -15/-3 because it helps solve for the x-value
NEW EQUATION: x = -15/-3
SIMPLIFY
x = 5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
it will be choice 3
Step-by-step explanation:
as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side
Arianys is going to invest $11,000 and leave it in an account for 9
years. Assuming the interest is compounded monthly, what interest
rate, to the nearest hundredth of a percent, would be required in order
for Arianys to end up with $20,000?
The compound interest rate of the investment is 1.10%
How to determine the compound interest rate?The given parameters about the compound interest are
Principal, P = $11,000
Amount, A = $20,000
Time, t = 9
Number of times, n = 12 i.e. monthly interest
To calculate the amount, we have:
A = P(1 + R/n)^nt
Substitute the known values in the above equation, so, we have the following representation
20000 = 11000 * (1 + r/12)^(12 * 9)
This gives
1.82 = (1 + r/12)^108
Take the 108th root of both sides
1 + r/2 = 1.0055
Subtract 1 from both sides
r/2 = 0.0055
Multiply by 2
r = 0.011
Express as percentage
r = 1.10%
Hence, the value of the interest rate is 1.10%
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Answer:
6.66%
Step-by-step explanation:
Compounded Monthly:
�
=
�
(
1
+
�
�
)
�
�
A=P(1+
n
r
)
nt
Compound interest formula
�
=
20000
�
=
11000
�
=
9
�
=
12
A=20000P=11000t=9n=12
Given values
20000
=
20000=
11000
(
1
+
�
12
)
12
(
9
)
11000(1+
12
r
)
12(9)
Plug in values
20000
=
20000=
11000
(
1
+
�
12
)
108
11000(1+
12
r
)
108
Multiply
20000
11000
=
11000
20000
=
11000
(
1
+
�
12
)
108
11000
11000
11000(1+
12
r
)
108
Divide by 11000
1.8181818
=
1.8181818=
(
1
+
�
12
)
108
(1+
12
r
)
108
(
1.8181818
)
1
/
108
=
(1.8181818)
1/108
=
[
(
1
+
�
12
)
108
]
1
/
108
[(1+
12
r
)
108
]
1/108
Raise both sides to 1/108 power
1.0055509
=
1.0055509=
1
+
�
12
1+
12
r
−
1
−1=
−
1
−1
Subtract 1
0.0055509
=
0.0055509=
�
12
12
r
12
(
0.0055509
)
=
12(0.0055509)=
(
�
12
)
12
(
12
r
)12
Multiply by 12
0.0666108
=
0.0666108=
�
r
6.66108
%
=
6.66108%=
�
r
Convert to percent (multiply by 100)
�
≈
r≈
6.66
%
6.66%
Round to the nearest hundredth of a percent
A manager of a clothing store always orders 2 small T-shirt and 3 small T-shirts for every 4 medium T-shirt. The manager plans to order 24 medium T-shirts. How many small T-shirts should the manager order
The manager of the clothing store always orders 2 small T-shirts and 3 small T-shirts for every 4 medium T-shirts.
What in mathematics is a linear equation?
According to Wolfram MathWorld A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
The manager plans to order 24 medium T-shirts and we want to find out how many small T-shirts the manager should order.
We can use the information given to set up an equation to represent the relationship between the number of small T-shirts and medium T-shirts. Let S be the number of small T-shirts and M be the number of medium T-shirts.
We know that:
S = 2 + (3/4)M
We are given that the manager plans to order 24 medium T-shirts, so we can substitute this value into the equation:
S = 2 + (3/4) * 24
We can simplify and solve for S:
S = 2 + (3/4) * 24
S = 2 + 18
S = 20
Therefore, the manager should order 20 small T-shirts.
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6,12,15,60,65, ?
What is the next number?
Answer:
390
Step-by-step explanation:
The given sequence has no common difference or ratio, so finding the rule that describes it is mainly accomplished by trial and error.
__
We notice that the ratio of the first two numbers is 2, the difference of the second pair is 3, the ratio of the third pair is 4, the difference of the next pair is 5.
This suggests that we are alternating addition and multiplication, and that the values involved increase by 1 each time.
Addition of 5 was used last, so we expect the next number to be found by multiplying by 6.
65 × 6 = 390 . . . . . the next number
The average age of Iowa residents is 37 years. Amy believes that the average age in her hometown in Iowa is not equal to this average and decided to sample 30 citizens in her neighborhood.Using the alternative hypothesis that µ ≠ 531, Amy found a t-test statistic of 1.311.What is the p-value of the test statistic?
Answer:
The p-value of the test is 0.2.
Step-by-step explanation:
Using the alternative hypothesis that µ ≠ 531, Amy found a t-test statistic of 1.311.
Alternative hypothesis means that e have a two-tailed hypothesis test.
Sample 30 citizens. Amy found a t-test statistic of 1.311.What is the p-value of the test statistic?
Thus, we have a two-tailed test with 30 - 1 = 29 degrees of freedom and t = 1.311. So, using a t-distribution calculator, the p-value of the test is 0.2.
Graph the solution set for \(-m\leq 5\)
Answer: ⇒∠5=(180-79)°=101°
it is 101° it answer hope this helps.
arc
An 8 inch pie (diameter is 8) was sliced into 4 equal parts. How large is the 2 points
pie crust of one slice? *
Answer:
6.28 inches
Step-by-step explanation:
Given that the diameter of the pie=8 inch
Radius=Diameter/2
Therefore: Radius of the pie=8/2=4 Inch
Circumference of a circle \(=2\pi r\)
Since the pie is sliced into 4 equal parts:
Length of the Pie crust of one slice\(=\dfrac{2\pi r}{4}\)
Substituting the value of r, we obtain:
Length of the Pie crust of one slice\(=\dfrac{2*\pi *4}{4}\\=2\pi $ inches\\=6.28 inches (correct to 2 decimal places)\)
What comes next in the pattern?12,16,20
A. 10
B. 22
C. 23
D. 24