Let's recalll that:
• 1 mile per hour = 1.46667 feet per second
Therefore:
• 10 miles per hour = 1.46667 * 10 feet per second
,• 10 miles per hour = 14.6667 feet per second, Khalil!
systems of equations homework
a) (2, -2)
[tex]\begin{gathered} 3x+y=4 \\ 3(2)-2=4 \\ 6-2=4 \\ 4=4 \\ \text{and} \\ x-3y=-4 \\ 2-3(-2)=-4 \\ 2+6=-4 \\ 8=-4 \end{gathered}[/tex]answer: the ordered pair is not a solution of the given system
b) ( -1, 5)
[tex]\begin{gathered} -x+y=6 \\ -(-1)+5=6 \\ 1+5=6 \\ 6=6 \\ \text{and} \\ 2x+3y=13 \\ 2(-1)+3(5)=13 \\ -2+15=13 \\ 13=13 \end{gathered}[/tex]answer: the ordered pair is a solution of the given system
Which of these ordered pairs is NOT a solution to this system
Answer:
C (4,5)
Step-by-step explanation:
See the attached image.
WILL GIVE BRAINLIEST
Answer:
1. Hyperbole
2. Center: (0,0)
3. Vertices: (-3, 0), (3, 0)
4. Foci: (-6, 0), (6, 0)
5. Asymptotes: y = [tex]\frac{\sqrt{18}}{3} }[/tex]x and y = [tex]-\frac{\sqrt{18}}{3} }[/tex]x
Step-by-step explanation:
8
(b) Then determine whether the above relation is a function.
A) Function
B Not a function
The above relation is not a function
What is a function?
A function from either a set X to just a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain. The Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi are credited with the first known attempt to the concept of function. Originally, functions were the idealization of how a variable quantity depended on another quantity. A planet's location, for example, is a function of time. Historically, the notion was developed with the infinitesimal calculus at the end of the 17th century, and the functions investigated were differentiable until the 19th century.
The above relation is not a function
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What’s the answer plsss it would mean a lot
Answer:
a. 57 m
Step-by-step explanation:
The figure is not shown here---please draw and label it. Additionally, make sure your calculator is in degree mode.
[tex] \tan(67) = \frac{134}{x} [/tex]
[tex]x \tan(67) = 134[/tex]
[tex]x = \frac{134}{ \tan(67) } = 57[/tex]
Miss Young is bringing cookies and brownies in for one of her classes. She has to bring
a total of 26 desserts. She pays $0.65 for each cookie and $0.90 for each brownie.
Using a system of equations, supposing that she spent $19.65, the amounts are as follows:
Cookies: 15.Brownies: 11.What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the context of this problem.
For this problem, the variables are defined as follows:
Variable x: number of cookies purchased.Variable y: number of brownies purchased.She brought a total of 26 desserts, hence:
x + y = 26.
She spent a total of $19.65, hence, considering the price of each item:
0.65x + 0.9y = 19.65.
From the first equation, we have the following relation:
y = 26 - x.
Hence, replacing in the second, we can solve for x as follows:
0.65x + 0.9(26 - x) = 19.65
0.25x = 3.75
x = 3.75/0.25
x = 15 cookies.
Then the number of brownies is found as follows:
y = 26 - 15 = 11 brownies.
Missing informationWe suppose that she spent $19.65, and that the problems asks for the amounts of cookies and brownies purchased.
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Elizabeth Oliver sells luxury cars. She earns a 4 percent straight commission. Lastmonth her sales totaled $128,000. What was her commission?
$128,000 represents 100%
To find how much is 4% we can use the next proportion:
[tex]\frac{128,000\text{ \$}}{x\text{ \$}}=\frac{100\text{ \%}}{4\text{ \%}}[/tex]Solving for x:
[tex]\begin{gathered} 128,000\cdot4=100\cdot x \\ \frac{512,000}{100}=x \\ 5,120=x \end{gathered}[/tex]Her commission is $5,120
Which expression is equivalent to 7^ -2
Finding a final amount in a word problem on expA certain forest covers an area of 2600 km². Suppose thaUse the calculator provided and round your answer to the2.kmХ?
Since the area decreases the same percent each year, we will use the exponential function of decay to solve the question
[tex]f(x)=ab^x^{}[/tex]Where:
a is the initial value
b is the factor of decay
y is the new value
x is the time
[tex]\because a=2600km^2[/tex][tex]\because b=1-\frac{7}{100}=0.93[/tex][tex]\because x=7years[/tex][tex]y=2600(0.93)^7[/tex]Let us find the answer using the calculator
[tex]y=1564.422264km^2[/tex]Round it to the nearest square km means a nearest whole number
y = 1564 km^2
The final amount is 1564 square kilometers
A restaurant equipment salesman is paid a 4% commission rate on his total sales.
One week he sells a total of $26,300 in product. What is his commission pay for
that week?
$5,260
O $1,052
$6,575
$10,520
The restaurant salesman will pay a commission of $1,052
How to calculate the amount of commission that will be paid ?Commission is the amount of money that is paid to a worker when a work is completed.
The commission rate of the total sales is 4%
= 4/100
= 0.04
The total sales for the week is $26,300
The commission that will be paid can be calculated as follows
= 26,300 × 0.04
= 1.052
Hence the amount of commission that will be paid is $1,052
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out of 100 people which are either tall or fat or both, 62 are tall, and 55 are fat. if i select one random person out of the 100 what is the probability, he is both tall and fat?
The probability a selected person is both tall and fat is 0.341
How to determine the probability?From the question, the given parameters are
People = 100
Fat = 55
Tall = 62
So, the individual probabilities are
P(Fat) = 55/100
P(Tall) = 62/100
Evaluate
P(Fat) = 0.55
P(Tall) = 0.62
The probability a person is both tall and fat is
P(Fat and Tall) = P(Fat) * P(Tall)
So, we have
P(Fat and Tall) = 0.55 * 0.62
Evaluate
P(Fat and Tall) = 0.341
Hence, the probability is 0.341
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Use the following data set to answer the question below.8 12 15 910121218 141510 11 12 9 17What is the mode for the data set?
12
1) Considering this Data Set:
8 12 15 9 10 12 12 18 14 15 10 11 12 9 17
2) And the fact that the mode is the central tendency measure that indicates the data point that repeats itself the most, we can tell that the mode is:
[tex]12[/tex]Note that this is the data point that repeats itself the most.
Which function is shown in the graph?
Answer:
1st option
Step-by-step explanation:
Jane wants to save $500 to purchase a new television. She earns $10.50 an hour at her job. The function M(h) = 8h represents the amount of money Jane earns in dollars, M(h), for each hour h that she works. Find M(60).
*Type in your answer.
M(60) =$.
The amount that Jane would earn for working for 60 hours is $630.
What is M(60)?The given function is a linear function. A linear function is a function that changes at a constant rate. When a linear graph is drawn on a coordinate graph, it can slope either upward or downward.
The linear function that represents the total amount she earns is:
Total earnings = cost per hour x total number of hours worked
Total earnings = $10.50 x h
Total earnings = $10.50 x 60 = $630
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which integers represent each situation? a) a debt of $10b) 6 degrees below 0 c) deposit of $25 someone please help fast
An integer that represent the debt of $10 can be express below
[tex]-\text{ \$10}[/tex]An integer that represent 6 degree below 0 is expressed below
[tex]0-6=\text{ -6 degre}e[/tex]An integer that represent a deposit of $25 can be express below
[tex]+\text{ \$25= \$25}[/tex]IMAGE ATTACHED. On average, Ian drinks 5/6 of a 6-ounce glass of water in 5 minutes. How much water does he drink, in glasses per hour? please help
-3/2x = 6 solve for x and simplify your answer as much as possible
Answer: x = -4
Step-by-step explanation:
Multiply both sides by 2 to get:
-3x = 12
Then, divide both sides by -3 to get:
x = -4
Hope this helps!
Answer:
x = -4
Step-by-step explanation:
You have discovered another alien.
What is the equation of the line that provides the correct path to rescue this alien?
Answer:
what is the equation of the line that provides the correct path to rescue this alineAnswer:
✔ y = 0x + 0
Step-by-step explanation:yes
Classify the triangle with sides of lengths 25 ft, 23 ft, and 8 ft.
equilateral triangle
O scalene triangle
isosceles triangle
Yesterday, the temperature change for a 5-hour period of time was -degree perhour. Which statement describes this change?AThe temperature rose 5 degrees.BThe temperature rose 45 degrees.СThe temperature fell 4 degrees.DThe temperature fell 5 degrees.AB
The negative sign means that temperature decreases of fell.
Deteremine the change in temperature for 5 hours.
[tex]\begin{gathered} dT=5\cdot(-\frac{4}{5}) \\ =-4 \end{gathered}[/tex]So temperatute fell 4 degrees. Option C is correct.
For 10 weeks Dolly wrote down everything she ate as well as weighed herself each morning. For two separate weeks during the 10-week period when her car was broken down and she was walking to work, she was running late each day so she did not have a chance to write down what she ate.
At the end of the 10 weeks, she graphed her weight over time and noticed that for the two weeks she didn't write down anything she lost weight. She concluded that for this experiment NOT writing down what she ate would help her lose weight.
Which mistake did Dolly have in her conclusion?
Responses
Her experiment lasted for 10 weeks since she did not record what she ate for 2 weeks. That her experiment lasted for 10 weeks since she did not record what she ate for 2 weeks.
B Confusing an experiment with an observational study. Confusing an experiment with an observational study.
C Confusing causation with correlation.Confusing causation with correlation.
D She did not make any mistakes in her conclusion.
The mistake that Dolly have in her conclusion is A. Her experiment lasted for 10 weeks since she did not record what she ate for 2 weeks. That her experiment lasted for 10 weeks since she did not record what she ate for 2 weeks.
How to illustrate the information?An experiment is carried out in order to get more information about a particular thing.
In this case, at the end of the 10 weeks, she graphed her weight over time and noticed that for the two weeks she didn't write down anything she lost weight.
Therefore, this caused the mistake that was noticed.
In conclusion, the correct option is A.
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Here are the ages of 14 coworkers:
Note that based on the graph given, the mean is at point B, while the median is also at point B:
What is mean?The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the integers and divide the total by the number of occurrences), geometric mean, and harmonic mean.
The median, on the other hand, is the number in the middle of a sorted, ascending or descending list of numbers, and it might be more descriptive of the data set than the average.
For the median:
Given the above definition, and the fact that we have 14 data points, the median is going to be somewhere between the 7th and 8th data points. By graph analysis, it is easy to see the following:
For the mean:
Given that the graph is representative of a Normal Distribution, the mean is also at point B.
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Full Question:
Here are the ages of 14 coworkers: [See attached graph]
Where is the mean?, and Where is the median?Jessica wants to make a spinner that has all of the following characteristicsSketch a possible spinner for Jessica. Be sure to label each section of thespinner with a name and with its theoretical probability.• Blue, red, purple, and green are the only colors on the spinner.• It is half as likely to land on blue as to land on red.• It is three times as likely to land on purple as green.• There is a 50% probability of landing on either blue or red and a 50%probability of landing on either purple or green.
First we have to split the spinner into two equal parts. One half belongs to the blue and red sections, and the other half belongs to the green and purple sections.
Formulating an equation for the first part, we have:
P(b) + P(r) = 0.5 ( P(b): probability of landing on blue section, P (r): probability of landing on red section)
P(r) + 1/2*P(r) = 0.5 ( Since it is half as likely to land on blue as to land on red)
3/2*P(r) = 0.5 (Adding like terms)
P(r)= 0.5 / (3/2) (Dividing on both sides by 3/2)
P(r)= 1/3 (Dividing)
P(b)=1/2*P(r) (Finding the probability of landing on blue section)
P(b)= 1/6
Formulating an equation for the second part, we have:
P(g) + P(p) = 0.5 ( P(g): probability of landing on green section, P (r): probability of landing on purple
section)
P(g) + 3*P(g) = 0.5 ( Since it is three times as likely to land on purple as green)
4*P(g) = 0.5 ( Adding like terms)
P(g) = 0.5/4 (Dividing by 4 on both sides of the equation)
P(g) = 1/8 (Dividing)
P(p) = 3*P(g) (Finding the probability of landing on purple section)
P(p)= 3/8
Find MN such that LN = 5.7.
Line LN is compounded by segments LM and MN. The lenght of segment LM is fixed (1.3), and we need to find how long should segment MN be so the whole segment LN has a length of 5.7.
The length of segment LN is the sum of lengths of segments LM and MN. Writing it as an equation:
[tex]LN=LM+MN[/tex]We an replace the values we know in the equation:
[tex]5.7=1.3+MN[/tex]Now, we just need to solve for MN:
[tex]\begin{gathered} MN=5.7-1.3 \\ \\ MN=4.4 \end{gathered}[/tex]Segment MN should have a length of 4.4 for the segment LN to be 5.7. Correct answer is option D.
write the following statements as an algebraic expression or equation.you have twice as many apples as bananas.the choices are in the picture
ok
apples = a
babanas = b
a = 2b
what is the slope of PV
Answer: -4 (-4/1)
Step-by-step explanation:
Slope is the rate of change, or rise over run. So in this case it is negative because to get from p to v we have to go down. Sow e go down 4, and across one, but we just say -4.
Please help. I don’t understand the problem.
Answer:
ASA
Step-by-step explanation:
ASA stands for Angle-Side-Angle which is the congruency theorem that states that if a triangle shares two congruent angles that have one line in between the two angles share a side length congruent to each other, then the two triangles are congruent.
Before you get very confused on the difference between AAS (Angle-Angle-Side) and ASA (Angle-Side-Angle), let explain why these two triangles are ASA.
We are given that both triangles share a similar side length at KL where they are connected. We are also given that angle ∠JKL is congruent to angle ∠MKL. We are also given that angle ∠MLK is congruent to angle ∠JLK.
The most important part after deciding all the relationships is given to us, it is deciding what kind of congruence theorem we will use. We are given the options:
SSS (Side-Side-Side) SAS (Side-Angle-Side) ASA (Angle-Side-Angle) AAS (Angle-Angle-Side) HL (Hypotenuse-Leg)Because we are presented with two congruent angles and one congruent side, we know that this triangle congruency theorem is either ASA or AAS. To understand why these triangles are ASA, we have to look at where the two-given congruent sides are located. As we can see in the name and in our two triangles, the congruent side lengths are in between the two angles as it touches both angle ∠JKL and angle ∠JLK in triangle ΔJKL, while in on ΔMKL, the congruent side length is also found between angle ∠MLK and angle ∠MKL. So, these triangles share ASA because they share two congruent angles connected by one congruent line.
ORDER MATTERS WHEN YOU WRITE YOUR CONGRUENCY THEROMS
AAS is technically not the same as ASA and I will explain that in one moment.
An example of AAS is if instead being told that ∠JKL is congruent to angle ∠MKL, we are given that ∠KJL is congruent to angle ∠KML instead. now the congruent sides are not connected to angle ∠KJL or angle ∠KML. The side is no longer in-between the two congruent sides. The reason order matters here are because order matters between AAS and ASA because in another theorem, SAS, you will find out order matter because while SAS guaranties congruency SSA does not. Technically, though, while both AAS and ASA both guaranty congruency, they are labeled separately, the way the remaining congruency thermos are.
Can someone help me with these two questions, I’m not sure if I’m correct or not.
5. The two triangles are similar. The value of x = 12.
6. The information cannot be used to show that the triangles are similar triangles.
How to Determine if two Triangles are Similar?Two triangles are similar to each other if they have the same shape but different sizes, in order words, they must have the same corresponding angle measures but different corresponding side lengths that are proportional to each other.
5. In the first figure, we see that there are two pairs of corresponding congruent angles (a pair of right angles and a pair of vertical angles in both triangles), but different corresponding side lengths.
Therefore, based on the AA similarity theorem that says two triangles are similar of they have two pairs of congruent sides, we can prove that both triangles are similar to each other.
Therefore:
x/9 = 20/15
15x = (9)(20)
15x = 180
15x/15 = 180/15
x = 12
6. The second image shows that the two triangles share a common side, which means they have a pair of corresponding sides that are congruent. Therefore, the information given cannot be used to prove they are similar triangles.
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(25)!!!!!
Two sidewalks in a park are represented by lines on a coordinate grid. Two points on each of the lines are shown in the tables.
Sidewalk 1
x y
2 7
0 3
Sidewalk 2
x y
1 5
3 3
(a)Write the equation for Sidewalk 1 in slope-intercept form.
(b)Write the equation for Sidewalk 2 in point-slope form and then in slope-intercept form.
(c)Is the system of equations consistent independent, coincident, or inconsistent? Explain.
(d)If the two sidewalks intersect, what are the coordinates of the point of intersection? Use the substitution method and show your work.
Helpppppp!! answer it who takes this test
Using linear functions, it is found that:
a) The equation is: y = 2x + 3.
b) The equations are:
Point - slope form: y - 5 = -(x - 1).Slope - intercept form: y = -x + 6.c) The systems are consistent independent.
d) The point of intersection is (1, 5).
Linear functionA linear function is defined in slope-intercept formula by the rule presented as follows:
y = mx + b.
In which:
m is the constant rate of change of the function, called slope.b is the value of y when x = 0, called intercept.For Sidewalk 1, it is found that:
When x increases by 2, y increases by 4, hence the slope is of m = 2.When x = 0, y = 3, hence the intercept is of b = 3.Then the rule is:
y = 2x + 3.
For Sidewalk 2, when x changes by 2, y decays by 2, hence the slope is:
m = -2/2 = -1.
The line goes through point (1,5), hence the equation in point-slope form is:
y - 5 = -(x - 1).
Combining the like terms, the slope-intercept form is:
y - 5 = -x + 1
y = -x + 6.
Since the two lines have different slopes, the system is consistent independent.
The x-coordinate of the intersection is:
-x + 6 = 3 + 2x.
3x = 3
x = 1.
The y-coordinate is:
-x + 6 = -1 + 6 = 5.
Hence the intersection point is:
(1, 5).
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Answer: I am I don't know man
Step-by-step explanation: answer is I don't know.
What is the slope of the line that passes through the points (-2, 2) and (-4, -1)?
Write your answer in simplest form.
The slope of the line that passes through the points (-2, 2) and (-4, -1) is 3/2 i.e. 1.5 .
How can we define the slope for a given line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. Therefore, the relationship between the change in the y-coordinate and the change in the x-coordinate is provided by the formula m = change in y/change in x = Δy/Δx, where "m" is the slope of a line.
Mathematically, slope of a line = m = (y₂ - y₁)/(x₂ - x₁)
Given, the line passes through the points (-2, 2) and (-4, -1)
Now, using the formula established in the literature, we get:
slope = m = (y₂ - y₁)/(x₂ - x₁) = (-1 - 2)/(-4 - (-2)) = -3/-2 = 3/2 = 1.5
Therefore, the slope of the line that passes through the points (-2, 2) and (-4, -1) is 3/2 i.e. 1.5 .
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