Answer:
your answer is c (56 fluid ounces)
Step-by-step explanation:
1 2/9+(-5 3/9) what is the solving to it?
Answer:
its \(-4 \frac{1}{9}\)
Determine the equation of the circle with center (0, -2) containing the point
(√12,-5).
Answer:
i think its
x^2 + (y + 2)^2 = 21.
Step-by-step explanation:
Find the 15th term of the geometric sequence 1, -4, 16, ...
Answer:
Answer is 268435456
Step-by-step explanation:
use an = a × ^r n-1 to find the sequence
The 15th term of the given geometric progression sequence 1, -4, 16, ... will be 268435456.
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
As per the given sequence,
1, -4, 16, ...
First term a = 1
Common ratio r = -4/1 = -4
The nth term is given as ar^(n - 1)
Therefore, the 15th term will be as,
a₁₅ = 1(-4)¹⁵⁻¹
a₁₅ = -4¹⁴ = 268435456
Hence "The 15th term of the given geometric progression sequence 1, -4, 16, ... will be 268435456".
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What is the first step in evaluating the expression shown below?
12
÷
(
7
.
4
−
3
.
6
)
+
8
−
2
Answer:
Step-by-step explanation:
The first step in evaluating the expression is to perform the calculations inside the parentheses. This involves subtracting 3.6 from 7.4.
Step 1: Evaluate the expression inside the parentheses.
7.4 - 3.6 = 3.8
After evaluating the expression inside the parentheses, the expression becomes:
12 ÷ 3.8 + 8 - 2
Step 2: Perform the division.
12 ÷ 3.8 = 3.158
After performing the division, the expression becomes:
3.158 + 8 - 2
Step 3: Perform the addition and subtraction from left to right.
3.158 + 8 = 11.158
11.158 - 2 = 9.158
Therefore, the value of the given expression is approximately 9.158.
The first step is:
⇨ parenthesesWork/explanation:
The expression is:
12 ÷ (7.4 − 3.6) + 8 − 2
Let's recall the order of operations first:
order of operations = PEMDASPEMDASParenthesesExponentsMultiplicationDivisionAdditionSubtractionSo we evaluate
\(\sf{12\div(7.4-3.6)+8-2}\)
\(\sf{12\div3.8+8-2}\)
Next, division:
\(\sf{3.158+8-2}\)
Next, addition & subtraction:
\(\sf{9.158}\)
Hence, the first step is to evaluate the parentheses.Translate this sentence into an equation.
The sum of 21 and Delia's height is 70 .
Answer:
21 + x = 70
Step-by-step explanation:
Since we do not know delia's height, you would mark it as x! sum means add, so 21 + x = 70!
This question was a little simple, so I'm sorry for the lack of an explanation, but I'm here if you need more help!!
PLEASE HELP
Two projectiles are shot vertically upward at the same instant.
Projectile A's height in feet, f(t), is represented in the table, where t is the seconds since the projectile was shot off
Projectile B's height at any time t is modeled by the function
h (t)=-16t^2 +96t
How do the times at which the projectiles begin their descents compare?
SEE PHOTO
Projectile B begins its descent 1 seconds before Projectile A does.
What is y-intercept?In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).
By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:
y-intercept = (0, 44).
Maximum height = (4, 300).
When t = 0, the y-intercept of Projectile B can be calculated as follows;
h(t) = -16t² + 96t
h(0) = -16(0)² + 96(0)
h(0) = 0.
For the maximum height, we have:
h(t) = -16t² + 96t
h'(t) = -32t + 96
32t = 96
t = 96/32
t = 3
Difference in time = 4 - 3
Difference in time = 1 seconds.
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A school has a toy drive for a holiday in which students bring in toys to be donated to charity. the number of toys donated by juniors and seniors are summarized in the histograms
The standard deviation of the number of toys donated by juniors is greater than that of seniors.
What is a standard deviation?It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.
\(\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}\)
For the seniors, the mean is given as,
Mean = (5 x 2 + 35 x 2 + .... + 15 x 2) / 10
Mean = 26
Then the standard deviation is given as,
σ = √[(26 - 5)² + (26 - 5)² + (26 - 15)²] / 10
σ = 14.28
For the juniors, the mean is given as,
Mean = (40 x 2 + 25 x 2 + ....... + 40 x 2) / 10
Mean = 26
Then the standard deviation is given as,
σ = √[(26 - 40)² + (26 - 25)² + (26 - 40)²] / 10
σ = 13.19
The standard deviation of the number of toys donated by juniors is greater than that of seniors.
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The complete question is given below.
what is 6n - 15
Plz answer quickly. I need help
Answer:
n=-2.5
Step-by-step explanation:
I hope this is correct and have a great day
A computer company, Repair-IT, told Alex it would cost $240 to fix his computer. The materials needed make up 40% of the total cost. The labor makes up 60% of the total cost.
Answer:
materials gets 96 and labor gets 144
Step-by-step explanation:
which equation is parrel to the equation y=3x-4
y=3x-8
y=4x+2
y=x-9
y=-1/3x+4
Answer:
Parallel means they have the same slope so, y=3x-8
pls help!! Thank you!
Answer:
C
Step-by-step explanation:
\(\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ \frac{f(x)}{g(x)}=\frac{\sqrt[3]{2x}}{2x+1}\)
The denominator cannot equal 0, so:
\(2x+1 \neq 0 \implies x \neq -\frac{1}{2}\)
Divide.
24.7 ÷ 5.2 Enter your answer in the box.
Answer:
\(24.7 \div 5.2 \\ \frac{19}{4} \: \: or \: \: 4.75\)
Answer:
\( \\ \sf24.7 \div 5.2\)
\( \\ \sf = \frac{247}{10} \div \frac{52}{10} \)
\( \\ \sf = \frac{247}{10} \times \frac{10}{52} \)
\( \\ \sf = \frac{247}{52} \)
\( \\ \sf = \frac{19}{4}\)
\( \\ \sf = 4.75\)
At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill.
How much would the sales tax be on a $66 meal?
Please show work.
Answer:
It is 5.61
Step-by-step explanation:
22×3=66
1.87×3=5.61
pls help i will mark brainliest
Determine the value of y for the inequality 4 times the quantity y plus one fifth end quantity is less than or equal to four fifths.
y ≥ 0
y ≤ 0
y is greater than or equal to negative 1 over 40
y is less than or equal to negative 1 over 40
The value of y is less than or equal to 0 (y ≤ 0).
What is inequality?
In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.
Given:
4y + 1/5 ≤ 4/5
We have to find the value of y.
Subtract 1/5 from both sides,
4y + 1/5 - 1/5 ≤ 4/5 - 1/5
4y ≤ 3/5
Multiply both sides by 1/4
4y x 1/4 ≤ 3/5 x 1/4
y ≤ 3/20
y ≤ 0.15
Hence, the value of y is less than or equal to 0 (y ≤ 0).
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...........................
Answer:
.. .. .. .. .. .... . ..
Step-by-step explanation:
... .... .. .. ..
If 25% of a number is 30, then what is 40% of the same number?
Divide 30 by 25% to find the full amount:
30/0.25 = 120
Now multiply the full amount by 40%:
120 x 0.40 = 30
15x10 to the power of 4
Answer:
Step-by-step explanation:
\(15*10^{4}=15*10000 = 150,000\)
What is the equation of the line that passes through the point (7,6) and has a slope of 0
The equation of the line that passes through the point (7, 6) with slope 0 is y = 6
Given,
The points which the line passes, (x₁, y₁) = (7, 6)
Slope of the line, m = 0
We have to find the equation of the line:
We know that,
y - y₁ = m(x - x₁)
So,
y - 6 = 0(x - 7)
y - 6 = 0
y = 6
That is,
The equation of the line that passes through the point (7, 6) with slope 0 is y = 6
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pls help me
Translate the sentence into an inequality. The difference of twice a number and 4 is less than 20. Use the variable y for the unknown number.
Answer:
The answer would be 5 as 20÷4 will be 5?
Answer:
2y - 4 < 20
Step-by-step explanation:
Twice a number: 2y
Difference of 4: - 4
Less than 20: < 20
Therefore: 2y - 4 < 20
3. Find to the nearest thousandth: log7 80
Answer:
I believe 1000
Step-by-step explanation:
solve x^2+2x-48=-6 by completing the square
Using the completing the square method, the equation X^2 + 2x - 48 = -6 is solved to get (x + 1)^2 - 43
How to solve the quadratic equationThe quadratic equation is an equation of the form
ax^2 + bx + c
The completing the square method is on of the methods of solving equations of the form above
The equation is solved as follows
x^2 + 2x - 48 = -6
x^2 + 2x = -6 + 48
x^2 + 2x = 42
add (b/2a)^2= (2/2)^2 to both sides of the equation
x^2 + 2x + 1^2 = 42 + 1
(x + 1)^2 = 43
(x + 1)^2 - 43
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A can of soda is placed inside a cooler. As the soda cools, its temperature T(x) in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler.
T(x)=-5+27e^-0.03x
Find the initial temperature of the soda and its temperature after 20 minutes, Round your answers to the nearest degree as necessary.
initial temperature:
temperature after 20 minutes:
The initial temperature of the soda is 22 degrees Celsius, and its temperature after 20 minutes is approximately 10 degrees Celsius.
To find the initial temperature of the soda, we need to evaluate the temperature function T(x) at x = 0.
T(x) = -5 + 27e^(-0.03x)
T(0) = -5 + 27e^(-0.03(0))
T(0) = -5 + 27e^0
Since any number raised to the power of 0 is 1, we have:
T(0) = -5 + 27(1)
T(0) = -5 + 27
T(0) = 22
Therefore, the initial temperature of the soda is 22 degrees Celsius.
To find the temperature of the soda after 20 minutes, we evaluate the temperature function at x = 20.
T(x) = -5 + 27e^(-0.03x)
T(20) = -5 + 27e^(-0.03(20))
T(20) = -5 + 27e^(-0.6)
Using a calculator, we can compute e^(-0.6) ≈ 0.5488.
T(20) = -5 + 27(0.5488)
T(20) = -5 + 14.8152
T(20) ≈ 9.8152
Therefore, the temperature of the soda after 20 minutes is approximately 10 degrees Celsius (rounded to the nearest degree).
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What is the standard deviation of the discrete random variable if the variance is 1.56?
Reason:
The standard deviation is the square root of the variance.
\(\text{Standard deviation} = \sqrt{\text{variance}}\\\\\text{Standard deviation} = \sqrt{1.56}\\\\\text{Standard deviation} \approx 1.24899959967968\\\\\text{Standard deviation} \approx 1.25\\\\\)
Round the answer however you need to, or however your teacher instructs. I rounded to two decimal places since 1.56 is to two decimal places.
The standard deviation of the discrete random variable if the variance is 1.56 is 1.25
Given that, a discrete random variable has a variance of 1.56, we need to find its standard deviation
We know that,
The standard deviation is the square root of the variance.
Standard deviation = √ variance
Standard deviation = √1.56
Standard deviation = 1.24899959967968
Standard deviation = 1.25
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PLEASE HELP
will mark brainliest
Answer:
Sorry about last time I didnt answer correct hopefully you can forgive me but this one I know 100% its C hope that helps.
Which equation represents a line that passes through the two points in the table
Answer:
y - 1 = 5/3 (x - 3)
Step-by-step explanation:
Point 1: (6, 6) or (x\(_{2}\), y\(_{2}\))
Point 2: (3,1) or (x\(_{1}\), y\(_{1}\))
To find the answer we need to find the slope. To do that we need to use the equation
y\(_{2}\) - y\(_{1}\) / x\(_{2}\) - x\(_{1}\)
Next, we need the insert the points and the equation will look like this:
6 - 1 / 6 - 3 = 5/3
Now that we have the slope, we need to input numbers into the point-slope-form equation.
The equation is:
y - y\(_{1}\) = m (x - x\(_{1}\))
After everything is plugged in it will look like
y - 1 = 5/3 (x - 3)
Find the
degree of the algebraic
expression:
3x^3 + 3x^2y^2 - y^2
Answer:
Degree 4
Step-by-step explanation:
Expression:
3x^3 + 3x^2y^2 - y^2
3x^3 - degree 33x^2y^2 - degree 2+2 = 4y^2 - degree 2So the expression has degree 4 as per the highest degree of the terms
Most new buildings are required to have a ramp for the handicapped that has a maximum vertical rise of 11 feet for every 132 feet of horizontal distance.
Answer:
11/132 = 1/12
Step-by-step explanation:
just put the rise over the run and simplify
Rewrite 1/12x^3y+7/12xy^2 using a common factor
The expression 1/12 x³ y + 7/12 x y² can be written as 1/12xy(x² + 7y) using common factor.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
1/12 x³ y + 7/12 x y²
The common term in the expression is,
1/12xy
To simplify the expression,
take common to 1/12xy from the expression,
1/12xy(x² + 7y)
The required expression is 1/12xy(x² + 7y).
Hence, option (C) is correct.
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Use the quadratic formula to solve the equation 9 x 2 + 30 x + 50 = 0 .
Answer:
I did how you told us to do it and I came up with 98 im not sure if that the right answer but I try to help
Please help
Step by step
sin(θ)/cos(θ) + cos(θ)/sin(θ) = 3
Combine the fractions on the left side by rewriting them with a common denominator.
sin²(θ) / (cos(θ) sin(θ)) + cos²(θ) / (sin(θ) cos(θ)) = 3
(sin²(θ) + cos²(θ)) / (cos(θ) sin(θ)) = 3
Recall the Pythagorean identity, cos²(θ) + sin²(θ) = 1, so that
1 / (cos(θ) sin(θ)) = 3
Recall the double angle identity for sine, sin(2θ) = 2 sin(θ) cos(θ). Then
2 / sin(2θ) = 3
sin(2θ) = 2/3
Take the inverse sine of both sides and solve for θ :
2θ = arcsin(2/3) + 360° n or 2θ = 180° - arcsin(2/3) + 360° n
(where n is any integer)
θ = 1/2 arcsin(2/3) + 180° n or θ = 90° - 1/2 arcsin(2/3) + 180° n
We get a total of 4 solutions between 0° and 360° from both solution sets when n = 0 and n = 1 :
θ = 1/2 arcsin(2/3) ≈ 20.905°
θ = 1/2 arcsin(2/3) + 180° ≈ 200.905°
θ = 90° - 1/2 arcsin(2/3) ≈ 69.095°
θ = 270° - 1/2 arcsin(2/3) ≈ 249.095°