cost = $75
sales tax = 8 1/8
75 ------------------------- 100%
x ------------------------ 8 1/8 %
x = (8 1/8 x 75) / 100
x = 4875/8 / 100
x = 6.1
Final cost = 75 + 6.1
= $81.1
Your apartment's monthly rent was $300 last year. This year it is $350.
What is the rate of inflation, to the nearest tenth of a percent?
O 50.0%
O 16.7%
0 15.4%
O 14.3%
well, if it was 300 and now is 350, it went up by 50 bucks, that's the inflation amount.
if we take 300 to be the 100%, what is 50 bucks off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 300 & 100\\ 50& x \end{array} \implies \cfrac{300}{50}=\cfrac{100}{x}\implies 6=\cfrac{100}{x} \\\\\\ 6x=100\implies x=\cfrac{100}{6}\implies x=\cfrac{50}{3}\implies x\approx 16.7\)
Please answer this It would mean alot to me.
The expression 8x + 4y is not equivalent to 4(2x + 1). Therefore, 8x + 4y = 4(2x + y)
How to find equivalent expression?Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
Equivalent expressions are expressions that have similar value or worth but do not look the same.
Let's determine whether the expression 8x + 4y is equivalent to 4(2x + 1).
Let's factorise to know whether the expressions are equivalent.
Therefore, using the common factors,
8x + 4y = 4(2x + y)
Hence, the expression are not equivalent .
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geometry
Thought a given point draw four lines. How many angles are formed? Label and read all the angles.
Angles and lines come in many distinct varieties in geometry.
How many angles are there in lines and angles?Geometry has several different kinds of lines and angles. The six different types of angles include reflex angle, complete angle, straight angle, acute angle, and obtuse angle. The various sorts of lines are transverse, parallel, perpendicular, vertical, horizontal, and vertical lines.
There are three ways to name an angle: by the vertex, by the angle's three points (the middle point must be the vertex), or by a letter or number put inside the angle's aperture.
You can create your address block for letters, envelopes, and other mail merges using Label Lines, a collection of fields. Use Label Lines rather of Acknowledgement, Company, and Address lines to skip blank lines in your labels and address blocks.
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The standard deviation of the scores on a skill evaluation test is 354 points with a mean of 1458 points. If 313 tests are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 40 points? Round your answer to four decimal places.
And we can find this probability with this difference and using the normal standard distribution or excel and we got:
0.977-0.0228 = 0.9542
Hope this help! :)
please help me thank you
Answer:
Here's how I'd do it
Step-by-step explanation:
Solve the inequality and graph the solution on the line provided. 6x-6<-30
The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.
To solve the inequality 6x - 6 < -30, we can follow these steps:
Step 1: Add 6 to both sides of the inequality to isolate the variable:
6x - 6 + 6 < -30 + 6
6x < -24
Step 2: Divide both sides of the inequality by 6 to solve for x:
(6x)/6 < (-24)/6
x < -4
The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.
To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.
On the number line, mark a point at -4 with a closed circle:
<--------●-----------------
Then, shade the region to the left of -4:
<--------●================
The shaded region represents the solution to the inequality x < -4.
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What is the value of x in the equation 2(6x+4)-6+2x = 3(4x+3)+1? 0 1 & 03 O 4 06
Answer: its 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. im prob to late but i need points
The value of x in the equation is 4.
What is an algebraic expression?An Algebraic expression shows the expression of variables with numbers. The purpose of an algebraic expression is to determine the unknown variable represented by an unknown letter.
From the given information:
2(6x + 4) - 6 + 2x = 3(4x + 3) + 1
Open brackets
12x + 8 - 6 + 2x = 12x + 9 + 1
Collect like terms
12x + 2x - 12x = -8 + 6+9 + 1
14x - 12x = -8 + 16
2x = 8
x = 8/2
x = 4
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Calculate the density of the object using the information in the picture. Question 5 options: 0.052 ml/g 19.2 g/ml 19.2 ml/g 139.973 g/ml
The density of an object is obtained by taking the ratio of the mass of the object and its volume ; \( Density = \frac{Mass}{Volume}\)
There is no picture attached and no picture corresponding to the question could be found.
However, the required formular for calculating the density of an object is : \( Density = \frac{Mass}{Volume}\)The mass of the object is measured in gram(g) or kilogram(kg) The volume of the object measured in Litre or any equivalent unit.Therefore, the density of the object is the ratio of its mass and volume.
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A recipe for 1 batch of muffins calls for 3/4 cups of almond milk. Rose has 6 cups of almond milk. How many batches of muffins could she make
Answer:
8
Step-by-step explanation:
3/4 cup leaves 1/4 cup from each cup
1/4+1/4+1/4=3/4
so it would be 3/4+3/4+3/4+3/4+3/4+3/4+3/4+3/4=8 cups
Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was half the price of a bag of popcorn.Graph the piecewise function and Graph the step function over the interval .
if Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was half the price of a bag of popcorn.Graph the piecewise function and Graph the step function over the interval. you need to solve for how many freinds she has.
Write the following as a percent, decimal and fraction.
43 out of 50
Percent: 86%
Fraction : 86/100
Decimal: 0.86 or .86
Answer:
Fraction: 43/50
Decimal: 0.86
Percentage: 86%
Step-by-step explanation:
43 out of 50
43/50 = 0.86 = 86%
Use the definition to calculate the derivative of the following function. Then find the values of the derivative as specified.
Answer:
Refer to the step-by-step explanation, please follow along very carefully. Answers are encased in two boxes.
Step-by-step explanation:
Given the following function, find it's derivative using the definition of derivatives. Evaluate the function when θ=1, 11, and 3/11
\(p(\theta)=\sqrt{11\theta}\)
\(\hrulefill\)
The definition of derivatives states that the derivative of a function at a specific point measures the rate of change of the function at that point. It is defined as the limit of the difference quotient as the change in the input variable approaches zero.
\(f'(x) = \lim_{{h \to 0}} \dfrac{{f(x+h) - f(x)}}{{h}}\)\(\hrulefill\)
To apply the definition of derivatives to this problem, follow these step-by-step instructions:
Step 1: Identify the function: Determine the function for which you want to find the derivative. In out case the function is denoted as p(θ).
\(p(\theta)=\sqrt{11\theta}\)
Step 2: Write the difference quotient: Using the definition of derivatives, write down the difference quotient. The general form of the difference quotient is (f(x+h) - f(x))/h, where "x" is the point at which you want to find the derivative, and "h" represents a small change in the input variable. In our case:
\(p'(\theta) = \lim_{{h \to 0}} \dfrac{{p(\theta+h) - p(\theta)}}{{h}}\\\\\\\Longrightarrow p'(\theta)= \lim_{h \to 0} \dfrac{\sqrt{11(\theta + h)} - \sqrt{11\theta} }{h}\)
Step 3: Take the limit:
We need to rationalize the numerator. Rewriting using radical rules.
\(p'(\theta)= \lim_{h \to 0} \dfrac{\sqrt{11(\theta + h)} - \sqrt{11\theta} }{h} \\\\\\\Longrightarrow p'(\theta)= \lim_{h \to 0} \dfrac{\sqrt{11\theta + 11h} - \sqrt{11\theta} }{h}\\\\\\\Longrightarrow p'(\theta)= \lim_{h \to 0} \dfrac{\sqrt{11}\sqrt{\theta+h} - \sqrt{11}\sqrt{\theta} }{h}\)
Now multiply by the conjugate.
\(p'(\theta)= \lim_{h \to 0} \dfrac{\sqrt{11}\sqrt{\theta+h} - \sqrt{11}\sqrt{\theta} }{h} \cdot \dfrac{\sqrt{11}\sqrt{\theta+h} + \sqrt{11}\sqrt{\theta} }{\sqrt{11}\sqrt{\theta+h} + \sqrt{11}\sqrt{\theta} } \\\\\\\Longrightarrow p'(\theta)= \lim_{h \to 0} \dfrac{(\sqrt{11}\sqrt{\theta+h} - \sqrt{11}\sqrt{\theta} )(\sqrt{11}\sqrt{\theta+h} + \sqrt{11}\sqrt{\theta} )}{h(\sqrt{11}\sqrt{\theta+h} + \sqrt{11}\sqrt{\theta} )} \\\\\\\)
\(\Longrightarrow p'(\theta)= \lim_{h \to 0} \dfrac{11h}{h(\sqrt{11}\sqrt{\theta+h} + \sqrt{11}\sqrt{\theta} )}\\\\\\\Longrightarrow p'(\theta)= \lim_{h \to 0} \dfrac{11}{\sqrt{11}\sqrt{\theta+h} + \sqrt{11}\sqrt{\theta} }\)
Step 4: Simplify the expression: Evaluate the limit by substituting the value of h=0 into the difference quotient. Simplify the expression as much as possible.
\(p'(\theta)= \lim_{h \to 0} \dfrac{11}{\sqrt{11}\sqrt{\theta+h} + \sqrt{11}\sqrt{\theta} }\\\\\\\Longrightarrow p'(\theta)= \dfrac{11}{\sqrt{11}\sqrt{\theta+(0)} + \sqrt{11}\sqrt{\theta} }\\\\\\\Longrightarrow p'(\theta)= \dfrac{11}{\sqrt{11}\sqrt{\theta} + \sqrt{11}\sqrt{\theta} }\\\\\\\Longrightarrow p'(\theta)= \dfrac{11}{2\sqrt{11}\sqrt{\theta} }\\\\\\\Longrightarrow p'(\theta)= \dfrac{11}{2\sqrt{11\theta} }\\\\\\\Longrightarrow p'(\theta)= \dfrac{11}{2\sqrt{11\theta} }\)
\(\therefore \boxed{\boxed{p'(\theta)= \dfrac{\sqrt{11} }{2\sqrt{\theta} }}}\)
Thus, we have found the derivative on the function using the definition.
It's important to note that in practice, finding derivatives using the definition can be a tedious process, especially for more complex functions. However, the definition lays the foundation for understanding the concept of derivatives and its applications. In practice, there are various rules and techniques, such as the power rule, product rule, and chain rule, that can be applied to find derivatives more efficiently.\(\hrulefill\)
Now evaluating the function at the given points.
\(p'(\theta)= \dfrac{\sqrt{11} }{2\sqrt{\theta}}; \ p'(1)=??, \ p'(11)=??, \ p'(\frac{3}{11} )=??\)
When θ=1:
\(p'(\theta)= \dfrac{\sqrt{11} }{2\sqrt{\theta}}\\\\\\\Longrightarrow p'(1)= \dfrac{\sqrt{11} }{2\sqrt{1}}\\\\\\\therefore \boxed{\boxed{p'(1)= \dfrac{\sqrt{11} }{2}}}\)
When θ=11:
\(p'(\theta)= \dfrac{\sqrt{11} }{2\sqrt{\theta}}\\\\\\\Longrightarrow p'(11)= \dfrac{\sqrt{11} }{2\sqrt{11}}\\\\\\\therefore \boxed{\boxed{p'(11)= \dfrac{1}{2}}}\)
When θ=3/11:
\(p'(\theta)= \dfrac{\sqrt{11} }{2\sqrt{\theta}}\\\\\\\Longrightarrow p'(\frac{3}{11} )= \dfrac{\sqrt{11} }{2\sqrt{\frac{3}{11} }}\\\\\\\therefore \boxed{\boxed{p'(\frac{3}{11} )= \dfrac{11\sqrt{3} }{6}}}\)
Thus, all parts are solved.
for a standard normal distribution, find:
p(-2.41 < z < -2.2)
round your answer to 4 decimal places.
Rounding to four decimal places, we have:
P(-2.41 < Z < -2.2) ≈ 0.0061
Using a standard normal distribution table or a calculator, we can find the area under the curve of the standard normal distribution between -2.41 and -2.2.
P(-2.41 < Z < -2.2) = P(Z < -2.2) - P(Z < -2.41)
From a standard normal distribution table, the probability of Z being less than -2.2 is 0.0139 and the probability of Z being less than -2.41 is 0.0078. So,
P(-2.41 < Z < -2.2) = 0.0139 - 0.0078 = 0.0061
Rounding to four decimal places, we have:
P(-2.41 < Z < -2.2) ≈ 0.0061
A normally distributed random variable with a mean of 0 and a standard deviation of 1 is referred to as a standard normal random variable. The letter Z will always stand in for it.
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Mark stated that the slope of the line that passes through these two points (1, -19) and (-2, -7) is -¼. Is Mark correct? Explain. (show your work).
9514 1404 393
Answer:
no
Step-by-step explanation:
The slope formula is ...
m = (y2 -y1)/(x2 -x1)
We can use the values ...
(x1, y1) = (1, -19)
(x2, y2) = (-2, -7)
Putting these into the formula gives ...
m = (-7 -(-19))/(-2 -1) = 12/-3 = -4
The slope is -4, not -1/4. Mark is incorrect.
Please help me with this math question
with regard to promoting standards of excellence, lafasto and larson (2001) identified three rs that help improve performance: require results, review results, and ______.
With regard to promoting standards of excellence, Lafasto and Larson (2001) identified three Rs that help improve performance:
require results, review results, and Reward Results.What did the Larson and LaFasto 1989 study capture?
The LaFasto and Larson Model investigated team effectiveness. It is founded on the premise that, while individuals might be highly competent and talented, teams solve the most challenging issues.
It doesn't matter how skilled an individual is if they can't operate as part of a team.
They studied the traits of 75 highly successful teams. They discovered that high standards of excellence were a critical component in team performance.
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G=(x)= 2-5x find g -1x.
Which is the solution for 3 (10x+4) = 8(3x + 6)
Answer:
x=6
Step-by-step explanation:
Answer:
3(10x+4)=8(3x+6)
Step 1: Simplify both sides of the equation.
3(10x+4)=8(3x+6)
(3)(10x)+(3)(4)=(8)(3x)+(8)(6)(Distribute)
30x+12=24x+48
Step 2: Subtract 24x from both sides.
30x+12−24x=24x+48−24x
6x+12=48
Step 3: Subtract 12 from both sides.
6x+12−12=48−12
6x=36
Step 4: Divide both sides by 6.
6x = 36
Answer:
x=6
3/6 + 2/6= improper fraction
Answer:
3/6+2/6=5/6is not improper fraction
need help on homework
Which number is greater and by how much? 600 or 600 decreased by 20% and then uncreased by 20% of the result
Answer:
600 is greater by 24
Step-by-step explanation:
We will decrease 600 by 20%.
20% of 600 = 120
600 - 20% of 600 = 480
We will now increase 480 by 20%
20% of 480 = 96
480 + 20% of 480 = 576
Is 576 more than 600?
No.
And how much more is 600 than 576?
24, because 600 - 576 = 24.
what is the mean,median,mode and range or the data set 4, 7, 3, 7, 7, 12,
Answer:
the mean is6.7 the mode is 7 and the range is 9
Step-by-step explanation:
hiw do I write the equation of a circle in SF given the center and the radius
We will see how to formulate the equation of the circle in its standard form.
The equation of a circle is defined by the following two parameters:
\(\begin{gathered} C\colon\text{ Center cartesian coordinates ( a , b )} \\ r\colon\text{ Radius of the circle} \end{gathered}\)A circle is defined by its radial length ( r ) also known as the radius of a circle and the location of the circle which is defined by its center ( C ).
The standard form ( SF ) of the equation of a circle in a cartesian coordinate system is given as follows:
\((x-a)^2+(y-b)^2=r^2\)We will use the above standard form of the equation of a circle to define a circle given its Center coordinates ( C ) and radius ( r ).
a) C = ( 0 , 0 ) , r = 7
For the above parameters we will subsitute the respective quantities as follows:
\(\begin{gathered} C\text{ = ( 0 , 0 ) , a = b = 0} \\ \\ (x-0)^2+(y-0)^2=7^2 \\ \textcolor{#FF7968}{x^2+y^2}\text{\textcolor{#FF7968}{ = 49}} \end{gathered}\)b) C = ( 2 , 3 ) , r = 6
For the above parameters we will subsitute the respective quantities as follows:
\(\begin{gathered} C\text{ = ( 2 , 3 ) , a = 2 , b = 3} \\ \\ (x-2)^2+(y-3)^2=6^2 \\ \textcolor{#FF7968}{(x-2)^2+(y-3)^2=36} \end{gathered}\)In the similar way we can express the (SF) of the equation of a circle given C and r.
Find the product
4x4 1/2 =
Answer:
8
\(4 \times 4(1 \div 2) \\ \)
4 gets cancelled by 2 for times i.e
4
\( 4 \times 2\)
=8
Write an Equation given the point (4, 10) and a rate of -4.
Answer:
y=-4x+36
Step-by-step explanation:
y=mx+b
m is slope or rate; so m = -4
y=-4x + b
10=(-4×4) + b
36 = b
y=-4x+36
how do i solve this Please give me a advise
The probability of spinning an even number, flipping tails, then spinning an odd number is:
1/9 (as fraction) or 11.11% (as percent)
How to find the probability of spinning an even number, flipping tails, then spinning an odd number?
To find the probability of spinning an even number, flipping tails, then spinning an odd number. We need to consider the individual probabilities. That is:
We have only one even number in the spinner, and that is 2. Thus,
P(even number) = 1/3
For a coin, the probability of head or tail is 1/2. Thus,
P(tail) = 1/2
We have two odd number in the spinner, and that is 1 and 3. Thus,
P(odd number) = 2/3
Therefore, the probability of spinning an even number, flipping tails, then spinning an odd number will be:
P(even, tail, odd) = 1/3 * 1/2 * 2/3
= 2/18
= 1/9 (as fraction)
In percent:
P(even, tail, odd) = 1/9 * 100
= 11.11%
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Find the area of a triangle as a mixed number.
Answer:
I believe the answer is 4 37/50!
In the diagram, the measures of 23 and 27 are 45°. The measure of 25 is
135°. Are lines cand dparallel?
F
5
8
OA. Yes, because 23 and 27 are congruent.
OB. No, because 27 and 25 are not congruent.
C. Yes, because 25 and 27 are supplementary.
D. No, because 23 and 25 are not supplementary.
The correct answer is D. No because 23 and 25 are not supplementary.
In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.
If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.
The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.
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what is the 2 plus 3 times 14
Answer:
44
Step-by-step explanation:
2+3 * 14
PEMDAS says multiply first
2+ 42
44
HEEEEEEELPPPPPPPPPPPPPPPP