Answer:
Part a) The graph in the attached figure
Part b) The units rate of change is 9
Step-by-step explanation:
we know that
A relationship between two variables, t, and d, represent a proportional variation if it can be expressed in the form or
step 1
Find the constant of proportionality k
For
substitute
the linear equation is equal to
using a graphing tool
see the attached figure
step 2
Find the unit rate
we know that
In a proportional relationship the constant of proportionality k is equal to the unit rate of change or slope m of the line, because the line passes through the origin
so
The units rate of change is 9
That means------> A change of 1 unit in t correspond to a change of 9 units in d
see the attached figure to better understand the problem
Answer:
Have a nice day! Answer is above good luck:)
can someone solve this
Answer:
check the image for solution
Step-by-step explanation:
LaTeX: 6x-7=-1696 x − 7 = − 169
x = ?
6x-7= -1696
6x= -1689
x= -281.5
x − 7 = − 169
x= -162
5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
factorise x³-4x²+x+6
The binomial factors of x³- 4x²+x+6 are (x+2), (x+3), and (x-1).
Using the splitting and grouping the terms:
x³ + 4x² + x - 6
= x³ + 2x² + 2x² + x - 6 [Splitting 4x² = 2x² + 2x²]
= (x³ + 2x²) + (2x² + x - 6)
= x² (x + 2) + (2x² + 4x - 3x - 6)
= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]
= x² (x + 2) + (x + 2) (2x - 3)
= (x + 2) ( x² + 2x - 3)
= (x + 2) ( x² + 3x - x - 3)
= (x + 2) [x (x + 3) - 1 (x + 3)]
= (x + 2) (x + 3) (x - 1)
Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)
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A function h(x) has an average rate of change equal to 7 on the interval 5 ≤x≤9. If h(5)=12, then which
of the following must be the value of h(9)?
(1) 28
(2) 36
(3) 40
(4)52
The required value of h(9) must be 40 which is the correct answer would be option (3).
The function h(x) has an average rate of change of 7 on the interval 5 ≤ x ≤ 9. This means that, on average, the output of the function increases by 7 for every unit increase in the input.
We are given that h(5)=12, which means that the function has an output value of 12 when the input is 5.
To find the value of h(9), we can use the average rate of change to calculate the expected increase in the function's output over the interval 5 ≤ x ≤ 9.
Since the average rate of change is 7, we expect the function's output to increase by 7 × (9-5) = 28 over this interval.
So, the expected value of h(9) is:
⇒ 12 + 28 = 40.
Therefore, the required value of h(9) must be 40.
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One United Bank is the largest Black-owned bank in the United States which calculates simple interest using the following equation below.
I=prt
Solve the equation for r, the rate balance.
A. Ir=pt
B. Ipt=r
C. rI=pt
D. ptI=r
Answer:
WHat is it :(
Step-by-step explanation:
Answer:
Easy Question: I/pt=r
Step-by-step explanation:
You take the equation i=prt and you solve it out.
You divide the half "prt" by pt like this: prt/pt
You also do that to the other side "I"
You are left with I/pt=r and there it is!!
the sum of 8 and matts savings is 52
Answer:
8 + x = 52
Where x = Matt's savings
Select the correct answer from each drop-down menu.
The area of the shaded square is
square inches. The length of the unshaded rectangle is
inches.
The estimated value of the length of the shaded square is
inches. The estimated value of the area of the unshaded rectangle is
square inches.
The completed statement with regards to the area of the square and the rectangle are;
The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.
What is the area of a square?The area of a square is the product of the side lengths which are congruent, therefore;
Area of a square = Side length, s × Side length, s = s²
The possible figure in the question includes;
A shaded square that is 125 square inches
An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches
Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.
Therefore;
The side length of the square = √(125) inches = 5·√5 inches
The estimated value of the side length of the square is; 5·√5 inches
The area of a rectangle = Length × Width
The length of the rectangle = 7·√5 inches
The width of the rectangle = 5·√5 inches
Therefore;
The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175
The estimated area of the unshaded rectangle is 175 square inches
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Graph the line with y-intercept-2 and slope -3/5 .
Answer:
MATH
Dior H. asked • 01/13/21
graph the line with the slope 1/2 and y-intercept -2
i need help badly i am crying because its hard
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1 Expert Answer
By:
Raymond B. answered • 01/14/21
TUTOR 5 (1)
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y=mx + b is the standard slope intercept form for a line
m=1/2, b =-2
y=(1/2)x -2. y-intercept is -2 or the point (0,-2)
x intercept is found by setting y=0 and solving for x
0=(1/2)x - 2
(1/2)x = 2
x = 4 = the x intercept or (4,0)
plot the 2 intercepts (0,-2) and (4,0)
(4,0) is on the x axis, 4 units to the right of the origin (0,0)
(0,-2) is on the y axis, 2 units below the origin
once you plot those two points, draw a straight line connecting them. That's the graph of the line
Find the standard deviation of the data set (36, 18, 12, 10, 9). Round all calculations to the nearest tenth. HELP PLEASE im struggling with this one. 35 points
Answer:
11.2 (or 10 - see notes below)
Step-by-step explanation:
You haven't said if the data is a population or a sample.
As the question says "round all calculations to the nearest tenth", I assume it requires the sample standard deviation.
However, I have also attached the population standard deviation calculations too, just in case.
Please see attachments for step-by-step
Question 11 (1 point)
Mary Ellen is making a table cloth for a client's dining room. She selected some pale-
yellow linen from a craft store and has it laid out on her work table to cut into the
correct shape. What tool is Mary Ellen MOST LIKELY going to use to cut the linen?
Scissors
Shears
A measuring tape
A Color Scheme Guide
Answer:
Mary Ellen is MOST LIKELY going to use shears to cut the linen.
Which statements are true about the graph of y < 2x+1? Check all that apply 3 The slope of the line is 1 The line is solid The area below the line is shaded. A solution to the inequality is (2, 3) The x-intercept of the boundary line is (-2, 0) Graph y
The statements that are true about the graph of y < 2x+1 include the following:
C. The area below the line is shaded.
D. A solution to the inequality is (2, 3).
What is an inequality?In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Based on the information provided, we have the following equation (inequality);
y < 2x + 1
The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).
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With a short time remaining in the day a delivery driver has time to make deliveries at 5 locations among 6 locations remaining. Hours many different routes are possible?
Answer:
The delivery driver can make deliveries at 5 locations among the remaining 6 locations using 6 different routes.
Explanation:
To find the number of different routes the delivery driver can take to make deliveries at 5 locations among the remaining 6 locations, we can use the combination formula:
nCr = n! / r!(n-r)!
where n is the total number of locations, r is the number of locations the driver will visit, and ! denotes the factorial operation (e.g. 5! = 5 x 4 x 3 x 2 x 1).
In this case, we have:
n = 6 (the total number of locations)
r = 5 (the number of locations the driver will visit)
So, the number of different routes the driver can take is:
6C5 = 6! / 5!(6-5)! = 6
Therefore, the delivery driver can make deliveries at 5 locations among the remaining 6 locations using 6 different routes.
Combination formula:
The combination formula is used to calculate the number of ways we can select r items from a set of n items without regard to order. We use this formula when we want to count how many different groups of r items can be selected from a larger set of n items.
The formula is:
nCr = n! / r!(n-r)!
where:
n is the total number of items in the set
r is the number of items we want to select from the set
! denotes the factorial operation, which means we multiply all the whole numbers from 1 up to the given number.
Let's look at an example to see how it works.
Example:
Suppose we have a box of 10 colored balls: 4 red, 3 blue, and 3 green. We want to select 2 balls from the box, without regard to the order in which they are selected. How many different combinations of 2 balls can we choose?
Using the combination formula, we have:
n = 10 (the total number of balls)
r = 2 (the number of balls we want to select)
10C2 = 10! / 2!(10-2)! = (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) / (2 x 1 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = 45
Therefore, there are 45 different combinations of 2 balls that can be selected from the box of 10 colored balls.
Hope this helps! I'm sorry if it doesn't. If you need more help, ask me! :]
=
Perform the following metric-metric conversion.
195 km/h to m/min
=m/min
195 km/h =
***
The metric conversion from 195 km/h to m/min is; 3250 m/min
How to carry out Metric conversions?The basic metric conversion units are meters (for length), grams (for mass or weight), and liters (for volume).
Now, the metric unit of conversion from km/h to m/min is;
1 km/h = 50/3 m/min
Thus;
195 km/h = (195 * 50)/3
= 3250 m/min
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Find x when () = 2. Please explain step by step
Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.
Step-by-step explanation:
What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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A magazine provided results from a poll of 2000 adults who were asked to identify their favorite pie. Among the 2000 respondents, 13% chose chocolate pie, and the margin of error was given as 5 percentage points. Given specific sample data, which confidence interval is wider the 95% confidence interval interval? Why is it wider? r the 80% confidence Choose the correct answer below A. An 80% confidence interval must be wider than a 95% confidence interval in order to be more confident that it captures the true value of the population proportion. B. A 95% confidence interval must be wider than an 80% confidence interval because it contains 95% of the true population parameters, while the 80% confidence interval only contains 80% of the true population parameters B. C. An 80% confidence interval must be wider thant> 95% confidence interval because it contains pr 100%-80%-20% of the true population parameters, while the 95% confidence interval only contains 100%-95%-5% of the true population parameters. D. A 95% confidence interval must be wider than an 80% confidence interval in order to be more confident that it captures the true value of the population proportion. D.
The correct answer is D. A 95% confidence interval must be wider than an 80% confidence interval in order to be more confident that it captures the true value of the population proportion.
The width of a confidence interval reflects the degree of uncertainty about the estimate of the population parameter. A wider interval indicates a higher degree of uncertainty, while a narrower interval indicates a lower degree of uncertainty.
The confidence level of a confidence interval is the probability that the interval contains the true population parameter. For example, a 95% confidence interval means that there is a 95% probability that the interval contains the true population parameter. Similarly, an 80% confidence interval means that there is an 80% probability that the interval contains the true population parameter
Since a 95% confidence interval is more confident that it captures the true value of the population parameter than an 80% confidence interval, the 95% confidence interval must be wider in order to capture the true value with a higher degree of confidence.
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30 PTS
WILL MARK BRAINLYIST
Whale watching tours out of Boston harbor are very popular. Ship A is 10 miles east of ship B. Ship A spots
a whale on a at an angle of 40 °South of West. Ship B spots the same whale on a 30° South of East How far
is the whale from Ship A? Draw a large neat diagram-which includes all given information and any variable
you will solve for.
Answer:
You need us to draw a diagram or say wether it is from ship A or not only?
City R has a temperature of −2 °F. City S has a temperature of −6 °F.
Use the number line shown to answer the questions:
Number line from negative 8 to positive 8 in increments of 1 is shown.
Part A: Write an inequality to compare the temperatures of the two cities. (3 points)
Part B: Explain what the inequa
lity means in relation to the positions of these numbers on the number line. (4 points)
Part C: Use the number line to explain which city is warmer. (3 points)
I just need answer B PLLSSS HELPP
A. inequality that compares the temperatures of the two cities is: -2 > -6. B. inequality means city R, represented by -2 on the number line greater than the temperature of city S, represented by -6 on the number line. C. city R is warmer than city S.
Describe Inequality?In mathematics, an inequality is a statement that compares two values or expressions and indicates that one is greater than, less than, or equal to the other. Inequalities are used to describe relationships between values that are not necessarily equal, and they are written using special symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
For example, the inequality 3x + 2 < 10 means that the expression 3x + 2 is less than 10. This inequality can be solved for x by subtracting 2 from both sides and then dividing by 3, yielding x < 2. This means that any value of x that is less than 2 will satisfy the inequality.
The inequality that compares the temperatures of the two cities is: -2 > -6
This inequality means that the temperature of city R, represented by -2 on the number line, is greater than the temperature of city S, represented by -6 on the number line. In other words, city R is warmer than city S.
On the number line, the further to the right a number is, the greater it is. Since -2 is to the right of -6, this indicates that -2 is greater than -6, which represents the fact that city R is warmer than city S.
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A card is randomly selected from a standard
deck of playing cards. Find the probability
that it is a face card, given that a black card
is drawn.
Answer:
3 / 13
Step-by-step explanation:
Hello!
There are 52 cards in a deck with half being red and half being black. The question ask for when a black card is drawn so we divide the total by 2
52/ 2 = 26
There are 6 black face cards in a deck so to get the probability one will be drawn we put how many there are over the total amount
6/26 we can simplify this
3 / 13
The answer is 3 / 13
Hope this helps!
Answer:
3/13
Step-by-step explanation:
In a standard 52-card deck, there are 26 black cards and 26 red cards. Of the 26 black cards, 13 are spades and 13 are clubs. Each suit has 3 face cards, Jack, Queen, and King. Therefore, there are 6 black face cards out of a total of 26 black cards.
p(face given black) = 6/26 = 3/13
Find the measure of angle
Answer:
angle AEF is 60 degrees
Step-by-step explanation:
120 - 90 = 30
90 - 30 = 60
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps. This system of equations models the given information for both stamp types. x – y = 34 x + y = 212 Solve the system of equations. How many foreign stamps does Malik have? foreign stamps How many domestic stamps does Malik have? domestic stamps
Answer:
foreign: 89domestic: 123Step-by-step explanation:
Add the two equations together:
(x -y) +(x +y) = (34) +(212)
2x = 246
x = 123
y = x-34 = 89
Malik has 89 foreign stamps and 123 domestic stamps.
Answer:
89 and 123
Step-by-step explanation:
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.
Answer:
3
Step-by-step explanation:
By going up 3 and right 1 you get 3/1, aka 3
The line of the equation is y=3x+2
what is the answer and explain how???
Answer:
\( {(2pq)}^{3} = 8 {p}^{3} {q}^{3} \)
The correct answer is A.
Answer:
Option B, Surface Area = 24p²q²
Step-by-step explanation:
The surface area of a cube can be expressed as a monomial by using the formula:
Surface Area = 6s²
Where "s" represents the length of one side of the cube.
It is given that the length of one side of the cube is 2pq. Plug this into the formula above. We get,
=> Surface Area = 6(2pq)²
Applying the power of a product rule for exponents we get,
=> Surface Area = 6(2pq)²
=> Surface Area = 6(2²p²q²)
=> Surface Area = 6(4p²q²)
=> Surface Area = 24p²q²
Thus, option B is the correct option.
The owner of an apple orchard has learned from previous experience that, on average, 5% of the harvested apples have blemishes. The owner randomly selects 10 apples from this year’s harvest. What is the probability that 2 of the apples have blemishes?
The probability that 2 of the apples have blemishes will be 0.0746.
Frequency distribution of the percentage of successful outcomes that might occur in a certain number of trials with the same chance of success. If X~B(n, p), then the probability is given as,
\(\rm P(X=x) = \ ^nC_x \times p^x \times (1-p)^{n - x}\)
The probability is calculated as,
P(X = 2) = ¹⁰C₂ * (0.05)² * (0.95)⁸
P(X = 2) = 0.0746
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Answer this question please thanks
Answer:
The amount of intrest gained was B. $7.50
Step-by-step explanation:
Mark invested $125.
He gaines 3% per year and he did it for 2 years.
.03 x 2 =.06
125 x .06 = 7.50
B. $7.50
Hope this helps!
:)
whats 5 less than 1 third
Answer:
-0.66666666666
Step-by-step explanation:
1/3-5/5
What fraction is equal to 100%
Any fraction whose numerator is the same number as its denominator will equal 1, which is 100%. Hence, fraction \(\frac{5}{5}\) is a fraction that equals 100%.
Answer:
\(\frac{5}{5}\)
Step-by-step explanation:
To get a percentage out of a fraction, you divide the fraction and then move the decimal point two places to the right. \(\frac{5}{5} =1\) is also equal to 1.0
Move the decimal two places to the right and you get 100%
what is the solution?
x=3 and y=4
x=5 and y=4
x=4 and y=3
x=3 and y=2
Answer:
give me more instructions so i can actually help
Step-by-step explanation:
solve for x
x/45=3
:)
Answer:
135
Step-by-step explanation:
x×1=45×3
cross multiply
x=135