Answers
Step-by-step explanation:
the line passes (-10, 0) and ( (0, 8) =>
the slope = (8-0)/(0-(-10) = 8/10 = 4/5
so, the equation :
y - 8= 4/5 ( x-0)
y -8 = 4/5 x
=> y = 4/5 x + 8
Related Questions
What is the inverse of the function f(x) = 2x - 10?
Answers
y=2x-10
x=2y-10
x+10=2y-10+10 (add both sides by 10)
2y=x+10
2y/2=x+10/2 (divide both sides by 2)
y=1/2x+5
Final Answer: f^-1(x)=1/2x+5
What is the solution of this linear equation see photo
Answers
SOLUTIION
The given equations are
\(p+q+r=32,p-r=4,2p+q=36\)This further gives
Therefore the solutions are:
\(p=\frac{-q+36}{2},r=\frac{36-q}{2}-4\)From the option considering the value q=8, it follows
\(\begin{gathered} p=\frac{-8+36}{2} \\ p=14 \end{gathered}\)And
\(\begin{gathered} r=\frac{36-8}{2}-4 \\ r=14-4 \\ r=10 \end{gathered}\)Therefore the solution is
\((14,8,10)\)
Find the area of the shape, there are 6 sides
Answers
Answer:
Step-by-step explanation:
all the three sides of a triangle are equal.
length of perpendicular from center on the side=\(h=\sqrt{21^2-(\frac{21}{2})^2} =\frac{21}{2}\sqrt{3} \\area ~of~shape=6 \times \frac{1}{2} \times 21 \times \frac{21}{2}\sqrt{3} \\=\frac{1321}{2}\sqrt{3} ~sq. ~ft.\)
What are the coordinates of the image of parallelogram ABCD after a dilation with center (0, 0) and a scale factor of 1/2
Answers
Answer:
A: (-2, 0.5)
B: (0,0.5)
C: (0.5,-0.5)
D: (-1.5, -0.5)
Step-by-step explanation:
When dilating about the origin, the distance of each point from the origin changes by the scale factor. For example, if you had a point that was 4 units above the center of dilation, and a scale factor of 1/2, the point would change to be 2 units above the center of dilation, because 1/2 x 2.
To find the image of parallelogram ABCD after a dilation with center (0,0) and a scale factor of 1/2, we need to apply the following transformation to each of the vertices of the parallelogram:\((x, y) to (\frac{1}{2} x, \frac{1}{2}y)\) So, for vertex A (a, b), the image will be (1/2a, 1/2b). Similarly, for vertex B (c, d), the image will be (1/2c, 1/2d), and so on.Therefore, the coordinates of the image of parallelogram ABCD will be:
A' (1/2a, 1/2b)
B' (1/2c, 1/2d)
C' (1/2e, 1/2f)
D' (1/2g, 1/2h)
where A (a, b), B (c, d), C (e, f), and D (g, h) are the coordinates of the vertices of parallelogram ABCD.
Now, to solve this, we input the coordinates.
A has coordinates of (-4,1). 1/2(-4) = -2 and 1/2(1) = 0.5, so A is (-2, 0.5)
B has coordinates of (0,1). 1/2(0) = 0 and 1/2(1)= 0.5. B is (0, 0.5)
C has coordinates of (1,-1). 1/2(1) = 0.5 and 1/2(-1) = -0.5. C is (0.5, - 0.5)
D has coordinates of (-3,-1). 1/2(-3) = -1.5 and 1/2(-1) = -0.5. D is (-1.5, -0.5)
Let me know if this helped by hitting thanks or brainliest! If you have any questions, comment below and I'll get back to you ASAP.
The coordinates of the image of parallelogram ABCD after a dilation with center (0, 0) and a scale factor of 1/2 are A'(-2, 0.5), B'(0, 0.5), C'(0.5, -0.5) and D'(-1.5, -0.5).
What is a dilation?Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.
Given that, the scale factor is 1/2.
Here, vertices of parallelogram ABCD is A(-4, 1), B(0, 1), C(1, -1) and D(-3, -1).
After dilation we get,
A(-4, 1) → 1/2(-4, 1) → A'(-2, 0.5)
B(0, 1) → 1/2(0, 1) → B'(0, 0.5)
C(1, -1) → 1/2(1, -1) → C'(0.5, -0.5)
D(-3, -1) → 1/2(-3, -1) → D'(-1.5, -0.5)
Therefore, the coordinates of the image of parallelogram ABCD after a dilation with center (0, 0) and a scale factor of 1/2 are A'(-2, 0.5), B'(0, 0.5), C'(0.5, -0.5) and D'(-1.5, -0.5).
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California Chinese Shar Pei Rescue buys 1,898 lbs of dog food. They plan to split it equally among their 26 dogs. How much dog food will each dog receive (this is not per day FYI)?
Answers
Answer:
The answer is 73 i hope it helps
Find the lengths of the unknown sides of the triangle
Answers
it's a Pythagorean theorem though
What assumption do we need to make to find a valid 99% confidence interval for the mean number of all workplace homicides per year
Answers
We have to assume that the sample mean is given , distribution is normal and sample size is also given.
Given confidence level 99%.
We have to answer the assumptions that are needed to make a valid 99% confidence interval.
Confidence interval can be made by formula of margin of error.
Margin of error is the difference between actual values and the calculated values.
Upper level of confidence interval=Mean+ margin of error
Lower level of confidence interval= Mean - margin of error.
Margin of error=z*σ/\(\sqrt{n}\)
where z is the corresponding z value for the confidence level given ,
σ is population mean and n is sample size.
Hence to calculate the confidence interval we need population mean, sample size.
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can write a quadratic function given key features in the form of ordered pairs
12: Write an equation of each quadratic function, in vertex form, with the given vertex and point
a) Vertex at (1.2) and passes through the point (3.4)
b) Vertex at (-5, -1) and passes through the point (6.3)
Answers
Answer:
ANSWER IS BELOW
Step-by-step explanation:
f
(
x
)
=
−
1
2
x
2
+
3
x
−
1
2
Explanation:
A quadratic function can be written in vertex form as:
f
(
x
)
=
a
(
x
−
h
)
2
+
k
where
(
h
,
k
)
is the vertex and
a
is a constant multiplier.
In our example the vertex
(
h
,
k
)
is
(
3
,
4
)
, so we can write:
f
(
x
)
=
a
(
x
−
3
)
2
+
4
Given that this passes through the point
(
1
,
2
)
, we must have:
2
=
a
(
1
−
3
)
2
+
4
=
4
a
+
4
Subtract
4
from both ends to get:
−
2
=
4
a
Divide both sides by
4
and transpose to find:
a
=
−
1
2
So our quadratic function can be written in vertex form as:
f
(
x
)
=
−
1
2
(
x
−
3
)
2
+
4
We can multiply this out and simplify as follows:
f
(
x
)
=
−
1
2
(
x
−
3
)
2
+
4
f
(
x
)
=
−
1
2
(
x
2
−
6
x
+
9
)
+
4
f
(
x
)
=
−
1
2
x
2
+
3
x
−
9
2
+
4
f
(
x
)
=
−
1
2
x
2
+
3
x
−
1
2
Use propositional logic to prove that the argument is valid. Do not use truth tables (A + B) ^ (C V -B) ^(-D-->C) ^ A D Please use the following substitute operators during your quiz: ^: &
v: I
¬: !
-->: ->
Answers
To prove that the argument is valid using propositional logic, we can apply logical rules and deductions. Let's break down the argument step by step:
(A + B) ^ (C V -B) ^ (-D --> C) ^ A ^ D
We will represent the proposition as follows:
P: (A + B)
Q: (C V -B)
R: (-D --> C)
S: A
T: D
From the given premises, we can deduce the following:
P ^ Q (Conjunction Elimination)
P (Simplification)
Now, let's apply the rules of disjunction elimination:
P (S)
A + B (Simplification)
Next, let's apply the rule of disjunction introduction:
C V -B (S ^ Q)
Using disjunction elimination again, we have:
C (S ^ Q ^ R)
Finally, let's apply the rule of modus ponens:
-D (S ^ Q ^ R)
C (S ^ Q ^ R)
Since we have derived the conclusion C using valid logical rules and deductions, we can conclude that the argument is valid.
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What is the probability that the restaurant is located in a city with a population over 100,000, given that it is located in the southwestern United States
Answers
The probability that the restaurant is located in a city with a population over 100,000, given that it is located in the southwestern United States, is approximately 0.267 or 26.7%.
To find the probability that the restaurant is located in a city with a population over 100,000, given that it is located in the southwestern United States, we need to consider the percentage distribution provided in the table.
From the table, we can see that the probability of selecting a restaurant from the southwestern United States (SW) is 3%. Within the southwestern region, the probability of selecting a restaurant in a city with a population over 100,000 is given as 8%.
To calculate the conditional probability, we use the formula:
Probability (A|B) = Probability (A ∩ B) / Probability (B),
where A is the event of selecting a restaurant in a city with a population over 100,000 and B is the event of selecting a restaurant from the southwestern United States.
Applying the formula, we have:
Probability (A|B) = (Probability of selecting a restaurant in the southwestern United States with a population over 100,000) / (Probability of selecting a restaurant from the southwestern United States).
Probability (A|B) = 8% / 3%.
Simplifying, we find:
Probability (A|B) ≈ 0.267.
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Note the full question is 1) A fast-food restaurant chain with 700 outlets in the United States has recorded the geographic location of its restaurants in the accompanying table of percentages. One restaurant is to be chosen at random from the 700 to test market a new chicken sandwich. Region <10,000 Population of City 10,000 - 100,000 >100,000 NE 6% 15% 20% SE 6% 1% 4% SW 3% 12% 8% NW 0% 5% 20% What is the probability that the restaurant is located in a city with a population over 100,000, given that it is located in the southwestern United States?
If p is inversely proportional to the square of q, and p is 28 when q is 3, determine p when q is equal to 2.
Answers
Answer:63
Step-by-step explanation:
Veuillez m’aider s’il vous plaît à résoudre cette question merci !
2. Un tableur a permis d'estimer l'évolution du taux de la population urbaine en France,
en pourcentage, par :
1(x)=0,00028x^3 -0,0276x^2 +0,968x+62,5
Lorsqu'on modélise
où x est le nombre d'années écoulées depuis 1960.
une évolution par une
Le rythme de croissance (instantané) du taux est assimilé à la dérivée de t. fonction, il faut que ses
a. Calculer la valeur estimée du taux de la population urbaine en 1968. valeurs, son sens de
Calculer le pourcentage d'erreur par rapport à la valeur effective de ce variation et son rythme
taux en 1968, donnée dans le texte.
de croissance soient
b. Exprimer t'(x), puis "(x) en fonction de .x.
compatibles avec les
c. Justifier que la fonction i est croissante sur [0;+ e[ . Interpréter.
données observées.
d. D'après le modèle, au cours de quelle année le rythme de croissance est-il le plus faible?
Est-ce compatible avec les données du texte ?
e. Expliquer pourquoi, à partir d'un moment, la fonction ne peut modéliser l'évolution du
taux de population urbaine.
Answers
Answer:
population and moment ne
(b) Katie has 4 different coins. Her total amount, in pence, is a multiple of 20 and is greater than 300. Which coins does she have?
Answers
Answer:
17 * $0.10 = $1.70 number * value = total value
Step-by-step explanation:
-3 + (-7)
Someone give me an explanation but use another example to show me
Answers
-3+-7....The answer is minus 10
Solve for x.
x2≥−4
A x≥−2
B x≤−8
C x≥−8
D x≤−2
Answers
Answer:
the answer is c because I just did this answer and I got it correct
The absolute value of x is written as \displaystyle |x|∣x∣. It has the following properties:
If
x
≥
0
,
then
|
x
|
=
x
.
If
x
<
0
,
then
|
x
|
=
−
x
.
For real numbers \displaystyle AA and \displaystyle BB, an equation of the form \displaystyle |A|=B∣A∣=B, with \displaystyle B\ge 0B≥0, will have solutions when \displaystyle A=BA=B or \displaystyle A=-BA=−B. If \displaystyle B<0B<0, the equation \displaystyle |A|=B∣A∣=B has no solution.
what is the volume of the rectangular prism?
Answers
Answer:
15
Step-by-step explanation:
i did maths
amanda has a 20% chance to win the game she is playing. what are the odds in favor of amanda winning the game?
Answers
The odds in favor of Amanda winning the game are 1 to 4.
Here, we have,
To determine the odds in favor of Amanda winning the game, we need to calculate the ratio of the probability of Amanda winning to the probability of Amanda losing.
The probability of Amanda winning is 20%, which can be expressed as a decimal as 0.2.
The probability of Amanda losing is the complement of the probability of winning, which is 1 - 0.2 = 0.8 or 80%.
Now, we can express the odds in favor of Amanda winning as a ratio:
Odds in favor of Amanda winning = Probability of winning / Probability of losing
Odds in favor of Amanda winning = 0.2 / 0.8
Simplifying this ratio, we get:
Odds in favor of Amanda winning = 1/4
Therefore, the odds in favor of Amanda winning the game are 1 to 4.
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If you use the distribution property on 2(4 - 3x), what is the result?
Answers
Answer:
8 - 6x
Step-by-step explanation:
2(4-3x)
multiply 2 to both 4 and -3x
8-6x
Answer:
-6x + 8 or 6x - 8 if you want to remove the negative sign in x
You need to make a scale model of your room for your art class. the scale is
3/4
inch represents 1 foot. what are the dimensions of your model?
Answers
The dimensions of the scale model of your room would be 3/4 inch represents 1 foot. To determine the dimensions of the scale model, we need to apply the scale ratio of 3/4 inch represents 1 foot.
Let's assume the length and width of your actual room are L feet and W feet, respectively. To find the dimensions of the scale model, we can multiply the actual dimensions by the scale ratio.
The length of the scale model would be L * (3/4) inch, and the width would be W * (3/4) inch.
For example, if your actual room is 12 feet long and 10 feet wide, the dimensions of the scale model would be:
Length of the scale model = 12 feet * (3/4) inch = 9 inches
Width of the scale model = 10 feet * (3/4) inch = 7.5 inches
Therefore, the scale model would have a length of 9 inches and a width of 7.5 inches, based on the given scale ratio.
It's important to note that when creating a scale model, maintaining the proportionality between the actual dimensions and the model dimensions is crucial to accurately represent the physical space in a smaller scale.
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This question has two parts. First, answer Part A. Then, answer Part B. Part A Fill in the blank question. PARKS Rachelle wants to determine the best state park for hiking and fishing. She has developed a metric based on the information she has gathered and the best catch from her previous fishing trips to the parks. Part A Use the metric to calculate a score for each park. Round to the nearest tenth. Park Score = 100[0.2(online rating5)+0.4(miles of trails25)+0.4(fish weight10)] State Park Online Star Rating Hiking Trails (mi) Best Fish (lb) Park Score Gooseberry Falls 4.8 20 9.8 Lake Maria 4.3 14 8.2 Maplewood 4.9 25 7.3 Camden 4.3 15.8 10.1 Part B Part B How might someone who enjoys hiking much more than fishing change this metric? 100 words remaining Tools are not currently accessible
Answers
Answer:
Step-by-step explanation:
I NEED THIS ASAP PLZ!
Answers
In a class of 34 students,19 of them are girls.
What percentage of the class are girls?
Give your answer to 1 decimal place
Answers
Answer:
55.9%
Step-by-step explanation:
To find the percentage of girls in the class, we can use the following formula:
Percentage = (Number of girls / Total number of students) * 100
Number of girls = 19
Total number of students = 34
Percentage = (19 / 34) * 100
= 55.88235 % ≈ 55.9 % ( rounded off to one decimal place)
The owner of a cafe is studying the relationship between outside temperature and daily demand for ice cream. She has developed a simple linear regression model to predict demand for ice cream based on temperature. In this regression model, the temperature is the independent variable. a. False b. True
Answers
It is correct to say that in this regression model, the temperature is the independent variable. In a simple linear regression model, the independent variable (also known as the predictor variable or the x-variable) is the variable that is used to predict or explain the variation in the dependent variable (also known as the response variable or the y-variable).
In this case, the temperature is being used as the independent variable to predict the daily demand for ice cream. The regression model will estimate the relationship between temperature and ice cream demand, allowing the owner of the cafe to make predictions or draw conclusions about how changes in temperature may affect the demand for ice cream.
The dependent variable, on the other hand, is the variable that is being predicted or explained by the independent variable. In this case, the daily demand for ice cream is the dependent variable, and it is expected to vary based on changes in temperature. By analyzing the relationship between temperature and ice cream demand, the owner can gain insights into how temperature influences customer behavior and make informed decisions regarding inventory management, pricing, and marketing strategies.
Therefore, based on the information provided, it is correct to say that in this regression model, the temperature is the independent variable.
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Choose the correct center and radius for the circle with the equation x2 + (y − 8)2 = 49. A. center (0, 8); radius 49 B. center (8, 0); radius 7 C. center (0, −8); radius 7 D. center (0, 8); radius 7
Answers
Answer:
D
Step-by-step explanation:
the center is (0,8)
(to solve this just flip the signs on the constants being added to x and y (there is an invisible constant of 0 being added to the x))
the radius is 7 (or √49)
I need help with this question for hw
Answers
Or 6 to the 11th power
Hope this helps ya :D
reduce the following rational expression to lowest terms if possible -60/-48 Please answer me fast Will mark as a brainlist ✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️✌️
Answers
Answer:
5/4
Step-by-step explanation:
-60/-48
factor the expression
(-15)(4)/(-12)(4)
cancel out 4
-15/-12
divide by -3
=5/4
Approximately what portion of the box is shaded blue?1/5 answer. Com
Answers
Approximately 1/5 of the box is shaded blue.
The given information states that approximately 1/5 of the box is shaded blue. This means that out of the total area of the box, 1/5 of it is filled with the blue shade.
To visualize this, imagine a box divided into five equal parts. The shaded blue portion would represent one of those five parts, which corresponds to 1/5 of the total area of the box.
It's important to note that the term "approximately" indicates that the given fraction is an approximation and may not be an exact value. Depending on the context and the accuracy of the measurement or estimation, the actual shaded portion may vary slightly from the 1/5 value.
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Approximately what portion of the box is shaded blue? if it is shaded below the half part of the box.
A.1/3
B.1/10
C. 1/6
785 to the nearest 10
Answers
If the last number is above 4 you round up :)
If x has a Uniform distribution over the interval 0 to 1, what is the probability of getting a value of x between 0.1 and 0.5
Answers
The probability of getting a value of x between 0.1 and 0.5 when x has a uniform distribution over the interval 0 to 1 is 0.4.
The probability of getting a value of x between 0.1 and 0.5 can be calculated by finding the area of the rectangle with height 1 and width 0.4. This is because the probability density function for a uniform distribution over the interval 0 to 1 is f(x) = 1 for 0 ≤ x ≤ 1.Therefore, the probability of getting a value of x between 0.1 and 0.5 is:P(0.1 ≤ x ≤ 0.5) = (0.5 - 0.1) * 1 = 0.4
Thus, the probability of getting a value of x between 0.1 and 0.5 when x has a uniform distribution over the interval 0 to 1 is 0.4.
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A survey was conducted to investigate whether alcohol consumption and smoking are related. In a random sample of 300 smokers, 196 said they had consumed alcohol at least once in the past week. In an independent random sample of 300 non-smokers, 159 said they had consumed alcohol in the past week. If P, is the proportion of smokers in the population who have had a drink in the past week and Po is the corresponding proportion of non-smokers, then a test of the hypotheses H P, -P = 0 against the two-sided alternative produces a test statistic of := 3.07 and a P-value of 0.002. If we had instead analyzed these results with a chi-square test of homogeneity, which of the following would be the test statistic and P-value?
a. 7-9.42, P-value = 0.002
b. 7-9.42, P-value - 0.004
c. - 3.07, P-value = 0.004
Answers
The Correct answer is option a. 7-9.42, P-value = 0.002 which is derived based on the given data about alcohol consumption.
The chi-square test of homogeneity is a statistical test used to determine whether there is a significant difference between the observed frequencies of two categorical variables.
In this case, the test statistic would be the chi-square value calculated using the observed frequencies of alcohol consumption in the sample of smokers and non-smokers, and the P-value would be the probability of obtaining a chi-square value as extreme or more extreme than the calculated value under the assumption that the null hypothesis is true (i.e. no difference in alcohol consumption between smokers and non-smokers).
In this case, the test statistic would be 7.942 and the P-value would be 0.002 which implies that there is a significant difference in alcohol consumption between smokers and non-smokers.
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