Answers
Answer: 3
Step-by-step explanation:
To find the slope you have to divide y over x: y/x or most commonly known as rise/run.
We start at the point where the line is touching a point, in this case it's -8 in the y axis.
Then we count up until we find another point that the blue line is touching. In this case at the coordinates (2, -2). So there's 6 values up from -8 and we have to move to the right 2 values to reach the point the blue line is touching.
So we use the formula rise/run or y/x:
6/2 = 3
This is very hard to explain in just text! I hope you understand
Related Questions
which expression is equivelent to (1/√y)^-1/5
Answers
The expression equivalent to\((1/\sqrt y)^(^-^1^/^5^) is y^(^1^/^5^)/ \sqrt y\).
To simplify the expression (1/√y)^(-1/5), we can use the rule for negative exponents, which states that a negative exponent is equivalent to a positive exponent when the base is moved to the opposite side of the fraction.
First, we can simplify (1/√y) by rationalizing the denominator as follows:
1/√y = 1/√y * √y/√y = √y/√(y^2) = √y/y
Therefore, (1/√y)^(-1/5) can be written as:
\([(\sqrt y/y)^(^-^1^)]^(^1^/^5^)\)
Next, we can use the rule for raising a power to another power, which is to multiply the exponents:
\([(\sqrt y/y)^(^-^1^)]^(^1^/^5^) = (\sqrt y/y)^(^-^1^/^5^)\)
Finally, we can use the negative exponent rule again to rewrite (√y/y)^(-1/5) as:
\((y/√y)^(1/5)\) = \((1/\sqrt y)^(^-^1^/^5^) is y^(^1^/^5^)/ \sqrt y\)
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Find the product of-8+4i and its complex conjugate
Answers
Answer:
80
I hope it will be useful.
Two similar triangles have a scale factor of 3:5. Determine whether the
following statement about the triangles is true or false.
Two corresponding sides could be 6cm and 8 cm
Who ever answers truly gets brain list thing
Answers
Answer:
Step-by-step explanation:
When you compare the ratios of the perimeters of these similar triangles, you also get 2 : 1. This leads to the following theorem. Theorem 60: If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b. Figure 2 Perimeter of similar triangles.
Evaluate expressions with parenthesesWhere can we put parentheses in 45 – 22 + 9 to make it equivalent to 14?Choose 1 answer:A45 – (22 +9)(45 – 22) +9Stuck? Review related articles/videos or use a hint.Report
Answers
Answer
45 – (22 +9)
Explanation
Given the expression
45 - 22 + 9
In order to rearrange the expression to get 14, this can be expressed as:
= 45 - (22 + 9)
= 45 - 31
= 14
Hence the required answer is 45 – (22 +9)
Which option best shows X > -8
Answers
The answer is on the picture.
One box of paper has 3 X 10^2 sheets of paper. Another box has 10^3 sheets of paper. What is the total number of sheets in both boxes
Answers
The total number of sheets in both boxes is equal to 1.3 × 10² or 1,300 sheets.
What is an exponent?An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as eˣ.
What are the laws of indices?In Mathematics, laws of indices can be defined as the standard principles and rules that are used for simplifying a mathematical equation or expression that involves powers of the same base.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
Mathematically, the total number of sheets in both boxes can be calculated by adding the sheets of paper in each box as follows:
Total number of sheets = 3 × 10² + 10³
Total number of sheets = 300 + 1000
Total number of sheets = 1,300
Total number of sheets = 1.3 × 10² sheets.
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For which of the following displays of data is it not possible to find the mean histogram frequency, table, stem, and leaf plot doc plot
Answers
The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.
A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.
A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.
A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.
A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.
In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
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may i have the different proofs for this thank you
Answers
The proof for AB ≅ CD is:
Step Statement Reason
1 ∠B ≅ ∠D, BC || AD Given
2 ∠BCA ≅ ∠CAD Alternate Interior angles
3 AC ≅ AC common side
4 ΔABC ≅ ΔADC Angle-Angle-Side rule of congruency
5 AB ≅ CD Corresponding sides of congruent triangle
Consider triangle ABC and triangle ADC.
Here, side BC is parallel to side AD.
From the attached figure we can observe that AC is a transversal.
so, ∠BCA and ∠CAD would be alternate angles formed by two parallel lines and transversal.
By property of Alternate Interior angles,
∠BCA ≅ ∠CAD
Also, we can observe that side AC is common side to ΔABC and ΔADC.
We rewrite this proof as,
Step Statement Reason
1 ∠B ≅ ∠D, BC || AD Given
2 ∠BCA ≅ ∠CAD Alternate Interior angles
3 AC ≅ AC common side
4 ΔABC ≅ ΔADC Angle-Angle-Side rule of congruency
5 AB ≅ CD Corresponding sides of congruent triangle
This is the required proof.
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This is due in 20 minutes I need a good grade
Answers
Answer:
increase by 25 percent
Step-by-step explanation:
(50-40)/40 × 100%=25%
Answer:
increase by 25%
Step-by-step explanation:
10/40 × 100 = 25
Which expression is equivalent to 6(2x + 4)
Answers
Answer:
12x+24
Step-by-step explanation:
by multiplying the number 6 into the term inside of the bracket gives 12x + 24
Can someone help me please
A population of bacteria is growing according to the equation p(t)=1950e^0.16t Estimate when the population will exceed 6371.
t= -------------
Answers
The estimate for when the population will exceed 6371 is t > 20.33. This means that at a time greater than 20.33 units
How to deal with exponential function?To estimate when the population will exceed 6371, we can set up the inequality:
p(t) > 6371
where p(t) is the population at time t, as given by the equation \(p(t) = 1950e^{0.16t}\)
Substituting the expression for p(t) into the inequality, we get:
\(1950e^{0.16t} > 6371\)
Next, we can divide both sides of the inequality by 1950 to isolate the exponential term:
\(e^{0.16t} > 6371 / 1950\)
To solve for t, we can take the natural logarithm (ln) of both sides, which will eliminate the exponential term:
\(ln(e^{0.16t} > ln(6371 / 1950)\)
Using the property of logarithms that ln(e^x) = x, we get:
\(0.16t > ln(6371 / 1950)\)
Now, we can divide both sides of the inequality by 0.16 to solve for t:
\(0.16t / 0.16 > ln(6371 / 1950) / 0.16\)
Simplifying, we get:
\(t > ln(6371 / 1950) / 0.16\)
Using a calculator, we can find the approximate value of \(ln(6371 / 1950) / 0.16\), which is approximately 20.33 (rounded to two decimal places).
So, the estimate for when the population will exceed 6371 is t > 20.33. This means that at a time greater than 20.33 units
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PLEASE ANSWER ASAP! WILL GIVE BRAINLIEST+12 POINTS!
Rewrite the expression in the form a^n
(a^5)^2
Answers
Answer:
a¹⁰
Step-by-step explanation:
\((x^{m} )^{n} =x^{mn}\)
So here we have (a⁵)², meaning we need to multiply the exponents to get a¹⁰
Suppose we want to choose a value of x at least 5 units away from 14.A) Think about some values of x that meet this constraint.B) Write an inequality that represents all values of x that meet this constraint. Hint. no answer givenC) On the number line below, represent all values of x that meet this constraint. Clear All Draw: Line segments and raysClosed dotOpen dot
Answers
Answer:
(a) [9, 19]
(b) \(9 \leq x \leq 19\)
(c)See attachment
Step-by-step explanation:
We want to choose a value of x at least 5 units away from 14.
(a)Now, 14-5=9 and 14+5=19
The possible values of x ranges is in the closed interval [9,19]
(b) Since x is at least 5 units away from 14, we have:
\(|14-x|\leq5\)
Solving the absolute inequality
\(-5 \leq 14-x \leq 5\\$In $ -5 \leq 14-x\\ x \leq 14+5\\x \leq 19\\\\$In $ 14-x \leq 5\\ 14-5 \leq x\\9 \leq x\\$Therefore,an inequality that represents all values of x that meet this constraint is:$\\9 \leq x \leq 19\)
(c)To draw the number line, we use a closed dot since we have a less than or equal to sign.
Inequalities are used to represent unequal expressions.
The inequality that represents the scenario is \(\mathbf{|x-14| \ge 5}\)Some possible values of x are: 5 and 20Represent the value with x.
A value that is at least 5 from 14 can take any of the following forms:
\(\mathbf{14 -x \ge 5}\)
\(\mathbf{x-14 \ge 5}\)
The inequalities can be combined as:
\(\mathbf{|x-14| \ge 5}\)
The values of x are solved as follows:
\(\mathbf{14 -x \ge 5}\)
\(\mathbf{14 - 5 \ge x}\)
\(\mathbf{9\ge x}\)
Rewrite as:
\(\mathbf{x \le 9}\)
Similarly, we have:
\(\mathbf{x-14 \ge 5}\)
\(\mathbf{x \ge 14 + 5}\)
\(\mathbf{x \ge 19}\)
So, we have:
\(\mathbf{x \le 9}\) or \(\mathbf{x \ge 19}\)
This can be combined as:
\(\mathbf{9 \ge x \ u\ x \ge 19}\)
Some possible values of x are: 5 and 20
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Three gardeners used different methods to estimate the diagonal length of a garden in feet.
Their results were:
17.82 ft
1734 ft
85√ ft
Which list shows these diagonal lengths in order from greatest to least? A.
17.82, 1734, 85√
B. 17.82, 85√, 1734
C. 1734, 17.82, 85√
D. 85√ , 17.82, 1734
Answers
Answer: C
Step-by-step explanation:
A number j plus the quotient of 6 and a number c write the phrase as a expression
Answers
Answer:
\(j + ( 6 / c)\)
A 12 oz box of sugar costs $3.10 and a 36 oz box of sugar costs $7.90. Which box of sugar is the better buy?
Answers
Answer: 36 oz box
Step-by-step explanation:
3.1/12=0.258333
7.9/360.291444
Thus, the 36 oz box is the better buy
Fatuma invests a total of $26,500 in two accounts paying 10% and 14% annual interest, respectively. How much
was invested in each account if, after one year, the total interest was $3,150.00.
$_____was invested at 10% and
$_____was invested at 14%.
Answers
Answer:
$14000 was invested at 10%
$12500 was invested at 14%
Step-by-step explanation:
We'll need a system of equations to find the amounts invested at 10% and at 14%
Let x represent the amount invested at 10% (10% = 0.1 interest rate)Let y represent the amount invested at 14% (14% = 0.14 interest rate)Let 0.1x represent the interest earned at 10%Let 0.14y represent the interest earned at 14%First equation:
amount invested at 10% + amount invested at 14% = total amount invested.
Thus, our first equation is x + y = 26500
Second equation:
interest earned at 10% + interest earned at 14% = total interest earned
Thus, our second equation is 0.1x + 0.14y = 3150
Method to solve: We can solve using substitution by isolating x in the first equation. Then we must substitute the resulting equation for x in the second equation. This will allow us to first solve for y:
Step 1 (Isolating x in first equation):
(x + y = 26500) - y
x = -y + 26500
Step 2 (Plugging in x = -y + 26500 for x in 0.1x + 0.14y = 3150 to solve for y):
0.1(-y + 26500) + 0.14y = 3150
-0.1y + 2650 + 0.14y = 3150
0.04y + 2650 = 3150
0.04y = 500
y = $12500
Step 3: Now we can plug in 12500 for y in the second equation in our system to find x:
x + 12500 = 26500
x = $14000
Thus, the amount invested at 10% is $14000 while the amount invested at 14% is 12500
Optional Step 4: We can check that we've found the correct investment amounts by plugging in 14000 for x and 12500 for y in both equation in our system and checking that we get 26500 and 3150 respectively:
Checking solutions for first equation:
14000 + 12500 = 26500
26500 = 26500
Checking solutions for second equation:
0.1(14000) + 0.14(12500) = 3150
1400 + 1750 = 3150
3150 = 3150
A bag of 10 Marbles has the following composition:
Red – 3
Green – 4
Blue – 2
Yellow – 1
What is the Simple Probability of reaching in and extracting a Yellow marble?
Answers
Answer: So, the simple probability of reaching in and extracting a yellow marble from the bag is 0.1 or 10%.
Step-by-step explanation: To calculate the simple probability of reaching in and extracting a yellow marble from the bag, we need to divide the number of yellow marbles by the total number of marbles in the bag.
The bag contains a total of 10 marbles, and there is only 1 yellow marble. Therefore, the probability of extracting a yellow marble can be calculated as:
Probability = Number of Yellow Marbles / Total Number of Marbles
Probability = 1 / 10
Simplifying this fraction gives us:
Probability = 0.1 or 10%
Hope this helps!
One of the games at the carnival was Spin the Pointer, which uses a spinner like the one pictured here. A carnival ticket that costs $1.00 is required to play the game. For each $1.00 ticket, a player spins the pointer once and receives the amount of money indicated in the sector where the pointer lands on the wheel. The spinner has an equal probability of landing in each of the 8 sectors.
a. Let X represent the profit for the player from one play of the game. Complete the table below for the probability distribution of X.
X -$1.00 $0.00 $4.00
P(X)
b. Find the expected value of the profit for the player from one play of the game. You may handwrite your calculations.
Answers
Answer:
(a)
\(\begin{array}{cccc}{X} & {-\$1.00} & {\$0.00} & {\$4.00} \ \\ {P(X)} & {0.75} & {0.125} & {0.125} & \ \end{array}\)
(b)
\(E(x) = -\$0.25\)
Step-by-step explanation:
Given
See attachment for spinner
Solving (a): Complete the table
The amount paid is: $1
From the attached image, we have:
$0 = 6; $1 = 1; $5 = 1
To get the profit, we subtract $1 from the possible outcomes of the spinner.
So, we have:
-$1.00 = 6; $0.00 = 1; $4.00 = 1
The probability of each is then calculated as:
\(P(-\$1.00) = \frac{6}{8} = 0.75\)
\(P(-\$0.00) = \frac{1}{8} = 0.12\)
\(P(-\$4.00) = \frac{1}{8} = 0.12\)
So, the complete table is:
\(\begin{array}{cccc}{X} & {-\$1.00} & {\$0.00} & {\$4.00} \ \\ {P(X)} & {0.75} & {0.125} & {0.125} & \ \end{array}\)
Solving (b): The expected profit E(x)
This is calculated as:
\(E(x) = \sum x * P(x)\)
\(E(x) = -1.00 * 0.75 + 0.00 * 0.125 + 4 * 0.125\)
\(E(x) = -\$0.25\)
I WILL GIVE BRAINLIST!! The perimeter of ABCD is 140. Solve for x, y, and z
* there is picture down below*
Answers
Answer:
ABCD is a kiteProperties:
AB = AD, CB = CD, AC⊥DB, AC is angle bisector of DAB and DCBFind x:
P = 140 2(2x + 7 + 4x +3) = 1406x + 10 = 706x = 60x = 10Find y:
3y - 1 and 28° are complementary3y - 1 = 90° - 28°3y - 1 = 62°3y = 63°y = 21°Find z:
4z and 58° are complementary4z = 90° - 584z = 32°z = 8°Answer:
x=10
y = 21°
z=8°
Step-by-step explanation:
we have
AB = AD, CB = CD,
AC perpendicular to DB, AC is angle bisector of DAB and DCB
Perimeter = 140
2(2x + 7 + 4x +3) = 140
6x + 10 = 70
6x = 60
x = 60/6=10
x=10
again
3y - 1 +28° =90
3y - 1 = 90° - 28°
3y - 1 = 62°
3y = 63°
y = 21°
again
4z+58°=90
4z = 90° - 58
4z = 32°
z=32/4
z=8°
Denise has $10 and wants to buy pens that cost
$0.80 each. How many pens can Denise buy and
have at least $6 left?
Answers
Answer:
5 pens
Step-by-step explanation:
$10 - 6$ = $4
$4/$0.80
she can afford 5 pens
write - 5R - 5U in polar form
Answers
Answer:
(r,0)
Step-by-step explanation:
5r - 5u = 5(r - u)
Polar time coordinate = 0
So (r, 0)
If 4(x – 3) + x = –2x + 10, what is the value of x?
Answers
Answer:
x=22/7
Step-by-step explanation:
4x-12+x=-2x+10
5x-12=-2x+10
5x=-2x+10+12
5x=-2x+22
5x+2x=22
7x=22
x=22/7
37+78(3)= ???
What is Answer for it ?
Answers
Answer:
271 is the answer of your question
What is the maximum of f(x)=sin(x)
Answers
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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Find the Surface Area of the following figure. 9.5 m 16m 14m 12.7m 11m
Answers
The total surface area of the figure will be 1968.85 square meters.
To determine the surface area of the figure, we need to find the area of each face and then add them together.
Surface Area of the rectangular prism = 2(lb + bh + hl)
= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)
= 2(152 + 133 + 224) = 2(509)
= 1018 m²
Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:
Surface Area of the triangular prism;
= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)
= (154 + 350.35 + 445.5)
= 950.85 m²
Therefore, the total surface area of the figure will be;
Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism
= 1018 m² + 950.85 m²
= 1968.85 m²
So, the surface area of the figure is 1968.85 square meters.
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Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours how far did Simon drive in all
Answers
Answer:
415 miles
Step-by-step explanation:
Start with the speed equation:
speed = distance/time
Now solve the speed equation for distance:
distance = speed × time
Apply the speed equation solved for distance to the two parts of the trip.
4 hours at 55 mph:
distance = 55 mph × 4 hours = 220 miles
3 hours at 65 mph:
distance = 65 mph × 3 hours = 195 miles
Add the two distances to find the total distance:
total distance = 220 miles + 195 miles = 415 miles
Answer: 415 miles
Answer:
415 miles
Step-by-step explanation:
Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.
How far did he drive?
d=rt
For the first part of the trip:
d = 55 * 4 = 220 miles
For the second part of the trip:
d = 65*3 =195 miles
Add the miles together
220+195 = 415 miles
lucinda weighs two bags of apples at the grocery store. the first weighs 3 1/5 pounds. the second bag weighs 2 4/5 pounds. what's the difference in weight of the two bags?
Answers
Answer:
2/5 pound
Step-by-step explanation:
The first bag is 1/5 pound more than 3 pounds. The second bag is 1/5 pound less. The difference in weight is 1/5 +1/5 = 2/5 pounds.
If you'd like to see that as an equation, you could write ...
Δw = (3 +1/5) -(3 -1/5)
= (3 -3) +(1/5 -(-1/5))
= 0 +1/5 +1/5 = 2/5
The weight difference is 2/5 pounds.
please help DUE TODAY. I WILL GIVE 35 POINTS!!!!!!
Shureka Washburn has scores of 79, 69, 61, and 91 on her algebra tests. a. Use an inequality to find the scores she must make on the final exam to pass the course with an average of 75 or higher, given that the final exam counts as two tests. b. Explain the meaning of the answer to part (a).
Answers
She must have a score greater than the average of 75 on her final exam.
What is arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.
Let the required score be x
Mean = 79 + 69 + 61 + 91 + x/5
⇒ 79 + 69 + 61 + 91 + x/5 > 75
⇒ 300 + x/5 > 75
⇒ 300 + x > 375
⇒ x > 375 - 300
⇒ x > 75
This implies that she needed a score on her final exams that were higher than the average of 75.
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Simplify. (5 x sqrt 2 - 1)^2