Enter the fraction as a decimal.
1
8
The fraction as a decimal is
Answers
Answer: 0.125
Step-by-step explanation:
Answer:
0.125
1/8
= 0.125
= 12.5%
Related Questions
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Match the equation of a parabola to its focus and directrix
Answers
For the given question, we will find the equation of the parabola of each box
then, we will select the correct equation from the tiles
The first box: focus (2, -2) and directrix y = -8
So, the parabola will open up and the equation will be:
\(\begin{gathered} h=2;k=\frac{-8+(-2)}{2}=-5 \\ (x-h)^2=4\cdot a(y-k) \\ a=3 \\ \\ (x-2)^2=12\cdot(y+5) \end{gathered}\)simplify the equation
\(\begin{gathered} x^2-4x+4=12y+60 \\ y=\frac{x^2}{12}-\frac{x}{3}-\frac{14}{3} \end{gathered}\)The second box: Focus (-3, 6) and Directrix (x = -11)
So, the parabola will open right
The values of (a) and the vertex (h,k) will be:
\(\begin{gathered} a=\frac{-3-(-11)}{2}=\frac{-3+11}{2}=\frac{8}{2}=4 \\ \\ h=\frac{-3+(-11)}{2}=-7;k=6 \end{gathered}\)The equation of the parabola will be:
\(\begin{gathered} (y-k)^2=4a(x-h) \\ (y-6)^2=4\cdot4(x+7) \end{gathered}\)Simplifying the equation:
\(\begin{gathered} y^2-12y+36=16x+112 \\ x=\frac{y^2}{16}-\frac{3y}{4}-\frac{19}{4} \end{gathered}\)The third box: Focus (2, -2); Directrix (x = 8)
So, the parabola will open left
The values of (a) and the vertex (h,k) will be:
\(\begin{gathered} a=\frac{8-2}{2}=\frac{6}{2}=3 \\ h=\frac{8+2}{2}=5;k=-2 \end{gathered}\)The equation of the parabola will be:
\(\begin{gathered} (y-k)^2=-4a(x-h) \\ (y+2)^2=-12(x-5) \\ \end{gathered}\)Simplifying the equation:
\(\begin{gathered} y^2+4y+4=-12x+60 \\ x=-\frac{y^2}{12}-\frac{y}{3}+\frac{14}{3} \end{gathered}\)The fourth box: Focus (-7, 1) and Directrix (y = 11)
The parabola will open down
The values of (a) and the vertex (h,k) will be:
\(\begin{gathered} a=\frac{11-1}{2}=\frac{10}{2}=5 \\ h=-7;k=\frac{11+1}{2}=\frac{12}{2}=6 \end{gathered}\)The equation of the parabola will be:
\(\begin{gathered} (x-h)^2=-4a(y-k) \\ (x+7)^2=-20(y-6) \end{gathered}\)Simplifying the equation:
\(\begin{gathered} x^2+14x+49=-20y+120 \\ \\ y=-\frac{x^2}{20}-\frac{7x}{10}+\frac{71}{20} \end{gathered}\)The drag of the tiles to the boxes according to the following figure:
Hello! help quick thank you
Answers
The expressions for (h - g)(x) and (h . g)(x) are -x - 8 and (x - 5)(2x + 3)
While the function (h + g) (-1) is -5
How to evaluate the functionFrom the question, we have the following parameters that can be used in our computation:
g (x) = 2x+3
h(x) = x - 5
This means that
(h - g)(x) = x - 5 - 2x - 3
Evaluate
(h - g)(x) = -x - 8
Also, we have
(h . g)(x) = (x - 5)(2x + 3)
Lastly, we have
(h + g)(-1) = (x - 5) + (2x + 3)
So, we have the following equation
(h + g)(-1) = ((-1) - 5) + (2(-1) + 3)
Evaluate
(h + g)(-1) = -5
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A pharmacist mixes 10 grams of a 15% medicine solution with 25 grams of a 10% medicine solution. Suppose we know that after she adds the x grams of pure medicine the pharmacists mixture is 25% medicine solution. Write an equation
Answers
The equation that represents the situation is (4 + x) / (10 + 25 + x) = 0.25
Let's start by finding the amount of medicine in the original mixture before adding any pure medicine.
The amount of medicine in the 10 grams of 15% solution is
0.15 × 10 = 1.5 grams
The amount of medicine in the 25 grams of 10% solution is
0.10 × 25 = 2.5 grams
So the total amount of medicine in the original mixture is,
1.5 + 2.5 = 4 grams
Now let x be the amount of pure medicine added.
The total amount of medicine in the final mixture is,
4 + x
The total amount of solution in the final mixture is,
10 + 25 + x
So the concentration of the final mixture is,
(4 + x) / (10 + 25 + x)
We know that this concentration is 25%, so we can write:
(4 + x) / (10 + 25 + x) = 0.25
This is the equation that represents the situation.
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The given question is incomplete, the complete question is:
A pharmacist mixes 10 grams of a 15% medicine solution with 25 grams of a 10% medicine solution. Suppose we know that after she adds the x grams of pure medicine the pharmacists mixture is 25% medicine solution. Write an equation that represents the situation
Find the sum or difference. Simplify your asnwer.
1.) 8 2/5 + 3 1/4
2.) 7 3/6 + 5 2/5
3.) 8 4/8 - 7 1/5
4.) 7 2/5 - 4 1/4
5.) 3 2/6 + 4 3/5
6.) 9 2/8 + 7 1/4
Answers
Answer:
can yuh provide a photo of the questions please
I hate getmoremath... domain as an inequality and range as an inequality pls
Answers
Answer:
The domain and range of a linear inequality is always all real numbers, regardless of the sign of inequality. The range of absolute value inequalities will depend on the vertex. With polynomial inequalities, intervals of the x values created from zeros will determine the domain and range.
Step-by-step explanation:
statistical measures that communicate the most information should be used with scales that contain the most information. true false
Answers
True , statistical measures that communicate the most information should be used with scales that contain the most information.
Given :
statistical measures that communicate the most information should be used with scales that contain the most information. true or false .
we know that ,
What is statistical measures ?
The mean, median, mode, percentiles, range, variance, and standard deviation are the most commonly used numerical measures for quantitative data.
So the statistical measures that must communicate the most information should be used with scales that contain the most information for knowing the details of the given data .
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A number is 6 more than another. If their sum is 32. Find the numbers.
Answers
Answer:
26
Step-by-step explanation:
correct answer gets marked brainliest!
Answers
Answer:
y = -3x + 7
Step-by-step explanation:
Using any 2 pairs of values, say (-3, 16) and (-1, 10), therefore, rate of change of the data given = \( \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 16}{-1 -(-3} = \frac{-6}{2} = -3 \).
We would get the same rate of change if we use any other two pairs of values in the data given.
Therefore, the data can be modeled by a linear equation because the rate of change remains constant all through.
To represent y as a function of x, find b, since we know the rate of change (m).
Substitute x = -3, y = 16 and m = -3 in y = mx + b.
Thus:
16 = (-3)(-3) + b
16 = 9 + b
Subtract 9 from each side
16 - 9 = b
7 = b
b = 7
Substitute m = -3 and b = 7 in y = mx + b
The function would be:
✅ y = -3x + 7
Add or subtract as indicated.
75.2 + 123.96 + 3.897
Answers
Answer: 203.057
Step-by-step explanation:
75.2+123.96+3.897
199.16+3.897
203.057
Which of the following is a univariate display of quantitative data? histogram mosaic plot bar chart scatterplot
Answers
A histogram is a univariate display of quantitative data that organizes data into bins and shows the frequency of observations within each bin.
A histogram is a graphical representation that displays the distribution of quantitative data. It consists of a series of contiguous bars, where each bar represents a specific range or bin of values, and the height of the bar corresponds to the frequency or count of observations falling within that range.
Histograms are commonly used to visualize the shape, central tendency, and spread of a dataset. By examining the heights of the bars, one can determine the frequency of values within each bin and identify patterns such as peaks or clusters. This makes histograms an effective tool for exploring the distribution and characteristics of a single variable in a dataset.
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Given that the slope of the graphed linear function is -3, which formula could represent the function?
es -
A)
y = -3x + 4
B)
y = -3(x + 4)
y = -3x - 4
D)
y = -3(x - 4)
Answers
Answer: y= -3(x+4)
Step-by-step explanation:
A store is selling 5 dozen bagels for $48. Based on this price, what is the cost for one bagel
Answers
Answer:
80 cents
Step-by-step explanation:
There are 12 in a dozen
5*12=60
48/60=.8
So, the answer is 80cents
Answer:
$.80 or 80 cents
Step-by-step explanation:
This is very simple, a dozen is 12 bagels, 12 multiplied by 5 is 60. Next, you'd simply divide, 48 divided by 60. You're answer would be $.80. Hope this helped :)
Fill in the blank with an appropriate word, phrase, or symbol(s). The number of regions created when constructing a Venn diagram with three overlapping sets is The number of regions created when constructing a Venn diagram with three overlapping sets is 8 3 6
Answers
The number of regions created when constructing a Venn diagram with three overlapping sets is 8.
In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.
When three sets overlap, there are different combinations of elements that can be present in each region.
For three sets, the number of regions can be calculated using the formula:
Number of Regions = 2^(Number of Sets)
In this case, since we have three sets, the formula becomes:
Number of Regions = 2^3 = 8
So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.
Each region represents a unique combination of elements belonging to different sets.
These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.
Therefore, the correct answer is 8.
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The exact circumference of a circle is 15.6π inches. What is the approximate area of the circle? Use 3.14 for π . Round to the nearest hundredth if necessary. Explain how you found your answer.
Answers
Answer:
r = 3.95
Explanation:
A = \(\pi {r}^{2} \)
3.14r² = 15.6 (3.14)
Divide by 3.14
r² = 15.6
r = \( \sqrt{15.6} \)
r ≈ 3.95
Choose an expression that is equivalent to negative four raised to the fourth power divided by negative four raised to the second power.
negative four raised to the second power divided by negative four raised to the fourth power
negative four raised to the fifth power divided by negative four
negative four raised to the sixth power divided by negative four raised to the fourth power
negative four divided by negative four raised to the fifth power
Answers
Answer:
C
Step-by-step explanation:
negative four raised to the sixth power divided by negative four raised to the fourth power
because negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power
negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power
The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.
Explanation:This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.
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Find a polar equation for the curve represented by the given Cartesian equation. \( x^{2}=2 y \) \( r=2 \tan \theta \sec \theta \) \( r=2 \sin \theta \) (C) \( r=2 \tan \theta \) D) \( r=2 \cos \theta
Answers
Given that, the cartesian equation is x² = 2y.Let's substitute x = rcosθ and y = rsinθ to change this equation from Cartesian coordinates to polar coordinates.
r²cos²θ = 2rsinθr = 2tanθTherefore, the polar equation for the curve represented by the given Cartesian equation is r = 2tanθ.
The given cartesian equation is x² = 2y. Now, to change this cartesian equation to polar equation, we should substitute x = rcosθ and y = rsinθ in the cartesian equation. So, after the substitution we get, (rcosθ)² = 2rsinθ Simplifying this equation we get, r²cos²θ = 2rsinθ Dividing both sides by cos²θ we get, r² = 2rsinθ/cos²θ Simplifying we get, r = 2tanθTherefore, the polar equation for the curve represented by the given Cartesian equation is r = 2tanθ.So, the main answer is option (C) r=2tanθ. Therefore, the answer is (C) r=2tanθ.
Therefore, the polar equation for the curve represented by the given Cartesian equation is r=2tanθ.
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A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 42%. Part 1 out of 4 Enter an expression for the markdown using a decimal. The markdown is ..... (Answer this question piece)
Answers
Answer:
0.42
Step-by-step explanation:
The original price of the old hardcover books was sold for b dollars. But the manager markdown the hardcover books by 42%.
The expression of the markdown using a decimal can be represented below.
Recall the markdown is 42 %. If you want to convert from percentage to a decimal, you have to move the decimal point two places to the left . The percentage sign is removed at this stage and the value is represent in decimal. Or you can just divide the percentage value by 100.
In our case the percentage value can be solved as 42/100 = 0.42 in decimal or by just simply moving the decimal points two places to the left which is 0.42.
Solving inequalities( need help checking my answer)
Answers
Step 1. You need x isolated.
\(x < 13+7\)
When you move a number from the left to right (and its addition or subtraction, the sign stays (< ≤ > and ≥ is signs).
x<20 or in words, x is less than 20, and cannot be 20.
Answer:
x < 20
Any number less than 20 is a solution
Step-by-step explanation:
x-7 < 13
The first step to solve this inequality is to add 7 to each side
x-7+7 < 13+7
x < 20
Any number less than 20 is a solution
I REALLY NEED HELP :(
When the expression 102021 − 2021 is evaluated, the result is a very large number.
You probably do not have enough time to perform the calculation. So, in an
effort to save you some time and paper, instead of evaluating the expression
102021 − 2021, determine the sum of the digits in the difference.
Answers
Answer:
100,000
Step-by-step explanation:
What is 2 ÷ 8/9 ????
Answers
Answer:
\(2 \div \frac{8}{9} = 2 \times \frac{9}{8} = \frac{9}{4} = 2.25\)
I hope I helped you^_^
Answer:
Step-by-step explanation:
Use KCF method for fraction division.
K- Keep the first fraction.
Change the division to multiplication.
Flip the second fraction
2 ÷ 8/9 = \(2 * \dfrac{9}{8}\)
\(= 1*\dfrac{9}{4}=\dfrac{9}{4}\\\\= 2\dfrac{1}{4}\)
Write the equation of the line in slope-intercept that has passes through the points (-8,-11) and (10,-2).
Answers
Answer:
y = 0.5x-7
Step-by-step explanation:
First we need to find the slope so we use the formula y2 - y1 / x2 - x1 = m
The variable m will represent the slope or rate of change
-2 - (-11) / 10 - (-8) = m
Or
-2 + 11 / 10+8 = m
9/18 = m
0.5 = m
y = 0.5x+b
To find b replace the y and x variables
I will use 10 and -2
-2 = 0.5(10)+b
You should come out with -7 = b
A clothes hanger is in the shape on an isosceles triangle. If the hanger is 70° wide what are the base angles?
Answers
Answer:
55°
Step-by-step explanation:
Given parameters:
Angles in the triangle;
70°, X° and X°
The triangle is an isosceles triangle;
In all triangles, the sum of the interior angles is 180°
So;
70° + X° + X° = 180°
70° + 2X° = 180°
2X° = 180° - 70°
2X° = 110°
X° = \(\frac{110}{2}\) = 55°
A rectangle with a length of x + 5 has a perimeter of 4x + 14.
1. Write the expression for the width of the rectangle in terms of x.
Help plsss
Answers
Answer:
hope this helps you
is y = 6/x proportional
Answers
Answer:
inversely proportional
if X =3, what is the value of 7x-2x?
Answers
Answer:
15
Step-by-step explanation:
x is equal to 3 so 7x - 2x = 7*3 - 2*3 = 21 - 6 = 15
What is the answer a or b to this question
Answers
Explanation:
If they enter with one car, that’s a price of $3 for the car alone. Because there’s also a fee for each person who enters, and there is a family of 5 who enters, x is representative of the cost for each person who enters. Therefore, there would be 5 x’s and one 3 that when solved would add up to the total of $45 they spent. That would mean A is correct because the equation would be x + x + x + x + x + 3 = 45.
I NEED H E L P !!
...please
Answers
Answer:
\(6y^3z(8x^4yz^3-3)\)
Step-by-step explanation:
Factor-\((-18y^3)(z)+48x^4y^4z^448x^4y^4z^4-18y^3z=6y^3z(8x^4yz^3-3)\)
What is the range of the function
f(x) = 2x + 3
when the domain is {-3,-1, 1}
a {0,2,4}
b {-3, 1,5
c{3,-1,-5)
d{3,1,5
Answers
Answer: Choice B
Range = {-3, 1, 5}
============================================
Explanation:
The domain is the set of all possible input x values. The range is the set of all possible y outputs.
Plug in each x value from the domain, one at a time, to get its corresponding range y value.
--------------------
Start with x = -3
f(x) = 2x+3
f(-3) = 2(-3)+3
f(-3) = -6+3
f(-3) = -3
So -3 is in the range.
--------------------
Move onto x = -1
f(x) = 2x+3
f(-1) = 2(-1)+3
f(-1) = -2+3
f(-1) = 1
1 is also in the range
--------------------
Finally plug in x = 1
f(x) = 2x+3
f(1) = 2(1)+3
f(1) = 2+3
f(1) = 5
The value 5 is the final value in the range.
--------------------
All of those values form the set {-3, 1, 5} which is the complete range.
Write an equation in point-slope form of the line that passes through the given point and with the given slope m
(-5,2), m=4
Answers
Answer:
\(y-2=4(x+5)\)
Step-by-step explanation:
The given point is (-5, 2) and the slope is 4.
Point-slope form is given by:
\(y-y_1=m(x-x_1)\)
We will let (-5, 2) be (x₁, y₁) and will substitute 4 for m. Therefore:
\(y-(2)=4(x-(-5))\)
Simplify:
\(y-2=4(x+5)\)
Gonzalez Manufacturing borrowed $21000. Part of the money was borrowed at 10%, part at 12%, and part at 14%. The total amount borrowed at 10% and 12%
was twice the amount borrowed at 14%. Find the amount borrowed at each rate if the annual interest was $2580
How much money was borrowed at 10%?
How much money was borrowed at 12%?
How much money was borrowed at 14%?
Answers
Answer:
10% — $550012% — $700014% — $8500Step-by-step explanation:
You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.
EquationsThe relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...
x + y + z = 21000 . . . . . . total borrowed
0.10x +0.12y +0.14z = 2580 . . . . . . total interest
x + y = 2z . . . . . . . . . . . relationship between amounts
Writing the last equation as ...
x -2y +z = 0
we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...
10% — $550012% — $700014% — $8500__
Additional comment
Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...
x + y = 140000.10x +0.14y = 1740These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)
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