Answer:
y = 2x - 19
Step-by-step explanation:
Slope-intercept form: y = mx + b
y = (x , y) = 1
m = slope = 2
x = (x , y) = 10
b = y-intercept
Plug in the corresponding numbers to the corresponding variables:
1 = 2(10) + b
First, simplify, and then isolate the variable, b. Note the equal sign, what you do to one side, you do to the other.
First, multiply 2 with 10:
1 = (2 * 10) + b
1 = 20 + b
Next, subtract 20 from both sides of the equation:
1 = b + 20
1 (-20) = b + 20 (-20)
1 - 20 = b
b = -19
Plug in 2 for m, and -19 for b.
y = 2x - 19 is your slope-intercept form.
~
Which statement is true? All quadrilaterals are parallelograms with two pairs of parallel sides.
All quadrilaterals are squares with four equal sides.
All quadrilaterals are are rectangles with four right angles.
All quadrilaterals are polygons with four sides.
All Quadrilaterals have unique properties that differentiate them from one another. Some of these properties include the sum of their interior angles, the length of their sides, the degree of their angles.
Quadrilaterals are a type of polygon that has four sides and four vertices. A polygon is defined as a two-dimensional shape that is made up of three or more straight sides. The following are some statements on quadrilaterals and their properties:All quadrilaterals are polygons with four sides
This statement is true because quadrilaterals are a type of polygon with four sides. Polygons are classified according to the number of sides they have.
All quadrilaterals are parallelograms with two pairs of parallel sidesThis statement is false. Not all quadrilaterals have two pairs of parallel sides. The parallelogram is a type of quadrilateral that has two pairs of parallel sides. Examples of parallelograms are rectangles, squares, and rhombi.All quadrilaterals are rectangles with four right anglesThis statement is false.
A rectangle is a type of quadrilateral that has four right angles, but not all quadrilaterals are rectangles. Examples of rectangles are squares and oblongs.All quadrilaterals are squares with four equal sidesThis statement is false. A square is a type of quadrilateral that has four equal sides and four right angles, but not all quadrilaterals are squares. Examples of squares are rhombuses.
All quadrilaterals have unique properties that differentiate them from one another. Some of these properties include the sum of their interior angles, the length of their sides, the degree of their angles, and the presence of parallel sides. The classification of quadrilaterals is an important concept in geometry as it allows for the proper identification of shapes and their properties.
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A cat is in the top of a tree so you will save it you are standing 23 m away from the tree the angle of elevation to the cat is 54 how long does the ladder need to be fro you to get to get the cat?
The ladder needs to be 34.3m long from tree you to get to get the cat.
We must determine the hypotenuse in this right triangle, which is the side that is opposite the triangle's 90° angle. When the neighboring side is 23 meters away, the elevation angle is 54°
Suppose Hypotenuse equals h.
Given, the base is 23m
Using trigonometry,
tan θ = Base / hypotenuse
tan 54° = 23 / h
⇒ 0.67 = 23 / h
⇒ h = 23 / 0.67
⇒ h = 34.3
So, the ladder needs to be 34.3m away in order to reach cat.
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which of the contexts below could be modeled by a linear function? the amount of a certain medication in a person's bloodstream decreases by 1/3 every week. a town's population shrinks at a rate of 2.2% every year. a certain population of 4 aggressive zombies quintuples every hour. snow was falling at a rate of 2 inches per hour.
The context that could be modeled by a linear function is "snow was falling at a rate of 2 inches per hour."
What is function?In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. In other words, a function takes an input and produces a corresponding output. It is often represented as a mathematical equation or a graph. Functions are used to model real-world phenomena and are an important tool in many areas of mathematics, science, and engineering.
Here,
A linear function describes a constant rate of change, and in this context, the rate of snowfall is constant at 2 inches per hour. The other contexts involve exponential or percentage change, which cannot be modeled by a linear function.
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
54 units squared
Step-by-step explanation:
hope this helped!
A weatherman asks 75 people from two different cities if they own rain boots. Complete the two-way frequency table to show results of the survey\
The complete two way frequency table after survey is:
13 19 32
28 15 43
41 34 75
Just count the missing numbers in the row or column:
32 - 19 = 13
This is the value that goes to the top left in the table because we can subtract here. There are no total votes.
We can now calculate the total number of positive votes to be 41.
In the value of the No column, we will again find the middle number by subtracting the top number from the total number of No votes.
34 - 19 = 15
Similarly,
From the middle row, we can simply add the values to get the total:
28 + 15 = 43.
Finally we find a total of 75.
The complete two way frequency table after survey is:
13 19 32
28 15 43
41 34 75
Complete Question:
A weatherman asks 75 people from two different cities if they own rain boots. Complete the two-way frequency table to show results of the survey.
Rain Boots
City Yes No Total
A 19 32
B 28
Total 34
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If you draw one card from a deck of 12 cards, numbered 1 through 12, what is the probability you will get an odd number or a number divisible by 4? (Enter your probability as a fraction.)
also,
A cube has 2 faces painted red, 2 painted white, and 2 painted blue. What is the probability of getting a red face or a white face in one roll? (Enter your probability as a fraction.)
and,
Rob Lee knows that he can compete successfully in a single track mountain bike race unless he gets a flat tire or his chain breaks. In such races, the probability of getting a flat is 0.1, of the chain breaking is 0.09, and of both occurring is 0.02. What is the probability that Rob completes the race successfully?
also,
A cube has 2 faces painted red, 2 painted white, and 2 painted blue. What is the probability of getting a red face or a white face in one roll? (Enter your probability as a fraction.)
and,
Rob Lee knows that he can compete successfully in a single track mountain bike race unless he gets a flat tire or his chain breaks. In such races, the probability of getting a flat is 0.1, of the chain breaking is 0.09, and of both occurring is 0.02. What is the probability that Rob completes the race successfully?
The probability that Rob completes the race successfully is:
1 - 0.1 - 0.09 + 0.02 = 0.83
The probability of getting an odd number or a number divisible by 4 can be found by adding the probabilities of getting an odd number and a number divisible by 4, and subtracting the probability of getting a number that is both odd and divisible by 4 (which is 4). The probabilities of getting an odd number, a number divisible by 4, and a number that is both odd and divisible by 4 are:
Odd number: There are 6 odd numbers out of 12 total numbers, so the probability of getting an odd number is 6/12 = 1/2.
Number divisible by 4: There are 3 numbers divisible by 4 (4, 8, 12), so the probability of getting a number divisible by 4 is 3/12 = 1/4.
Number that is both odd and divisible by 4: The only number that is both odd and divisible by 4 is 4, so the probability of getting this number is 1/12.
Therefore, the probability of getting an odd number or a number divisible by 4 is:
1/2 + 1/4 - 1/12 = 5/12
The probability of getting a red face or a white face can be found by adding the probabilities of getting a red face and a white face. The probability of getting a red face is 2/6 = 1/3, and the probability of getting a white face is also 1/3. Therefore, the probability of getting a red face or a white face is:
1/3 + 1/3 = 2/3
To find the probability that Rob completes the race successfully, we need to subtract the probability of getting a flat tire, the probability of the chain breaking, and the probability of both occurring from 1 (the probability of completing the race successfully). The probability of getting a flat tire is 0.1, the probability of the chain breaking is 0.09, and the probability of both occurring is 0.02. Therefore, the probability that Rob completes the race successfully is:
1 - 0.1 - 0.09 + 0.02 = 0.83
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A parallelogram-shaped field in a park needs sod. The parallelogram has a base of 21.5 meters and a height of 18 meters. The sod is sold in pallets of 50 square meters. How many pallets of sod are needed to fill the field?
Answer: C
Step-by-step explanation:
Answer:
the answer is 8 pallent
Step-by-step explanation:
y^2 + 18y - 41 = 0
Y=
Y=
Answer:
y= -9+√122, or -9 - √122
Step-by-step explanation:
You have to solve the equation for y to find each variable of the quadratic and applying the quadratic formula.
after solved, I got the answer as decimal,
y = 2.0453610.....
i simpler form : y = 2.05
Also, an answer can be y= -9+√122, or -9 - √122
An expression is given
4x + 5y + 7x
Identify the coefficient(s) and constant.
Coefficient: 4,5 and Constant: 7
Coefficient: 4,5,7 and Constant: None
Coefficient: None and Constant: 4,5,7
Coefficient: 4,7 and Constant: 5
Step-by-step explanation:
The coefficients are 4, 5 and 7
There is no constant
The second one is right
Answer:
Coefficient: 4,5,7 and Constant: None
Step-by-step explanation:
A coefficient can be defined as the number next to the variable or unknown numbers
This would be 4, 5, and 7
However, there does not seem to be a constant, which is a value that should not be the coefficient of a variable.
A freezer has a volume of 54 ft.³ it has a length of 6 feet and a height of 3 feet what is the length of the width of the freezer
Given the volume, height and length of the freezer, the dimension of its width is 3 feet.
What is the dimension of the width of the freezer?The volume of a rectangular prism is expressed as;
V = w × h × l
Where; w is width, l is length and h is height.
Given the data in the question;
Volume V = 54ft³Length l = 6ftHeight h = 3ftWidth w = ?We plug in the given values into the above formula.
V = w × h × l
54ft³ = w × 3ft × 6ft
54ft³ = 18ft² × w
w = 54ft³ ÷ 18ft²
w = 3ft
Given the volume, height and length of the freezer, the dimension of its width is 3 feet.
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One of the tallest Ferris wheels in the world is in Las Vegas. It has a diameter,d, of 520 feet. The circumference of the Ferris wheel represents the distance traveled by a passenger after one full rotation. The circumference can be determined using the expression 3.14d What is the distance traveled, in feet, by passengers on each rotation of the Ferris wheel? Record your answer to the nearest tenth of a foot
The distance traveled by a passenger on each rotation of the Ferris wheel is 1635.2 feet.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
C = πd
where 'd' is the diameter of the circle
The expression is given in the question as:
⇒ 3.14d
The circumference of the Ferris wheel can be determined by multiplying the diameter, d, by (3.14).
Thus, the circumference of the Ferris wheel is:
⇒ 3.14 × 520 = 1635.2 feet.
Since the Ferris wheel makes one full rotation in one ride, the distance traveled by a passenger on each rotation of the Ferris wheel is 1635.2 feet.
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The total cost of a pair of shoes and a hoodie is $150. The hoodie costs $100 more than the pair of shoes does. How much does the hoodie cost
x + y = 150
x - y = 100
______
x = hoodie
y = shoes
x = 150 - y
150 - y = 100 + y
50 = 2y
y = 25
x = y + 100
x = 25 + 100
x = 125
please give brainliest
Answer:
125
Step-by-step explanation:
it's unequal sharing
150-100=50
50/2=25
hoodie=100+25=$125
hope it helps
A marathon is 26.2 miles long there’s a water station every 1.31 miles along the race route which expression repeats the total number of water stations
Answer:
26.2/1.31
Step-by-step explanation:
-4 < y + 2 < -2 solve for the inequality
Answer:
-6<y<-4
Step-by-step explanation:
-4<y+2<-2
-4-2<y+2-2<-2-2
-6<y<-4
given the if/else statement: if (a < 5) b = 12; else d = 30; which of the following performs the same operation?
The equivalent operation is: b = (a < 5) ? 12 : (d = 30);
The original if/else statement is:
if (a < 5)
b = 12;
else
d = 30;
In this statement, the condition (a < 5) is evaluated. If the condition is true (i.e., if the value of a is less than 5), then the statement b = 12; is executed. Otherwise, if the condition is false (i.e., if the value of a is greater than or equal to 5), then the statement d = 30; is executed.
The equivalent operation using the conditional (ternary) operator is:
b = (a < 5) ? 12 : d = 30;
In this statement, the condition (a < 5) is evaluated. If the condition is true, the value 12 is assigned to b. This is indicated by ? in the statement. The : separates the true and false cases.
If the condition is false (i.e., if the value of a is greater than or equal to 5), the value 30 is assigned to d. This is the value assigned after the : in the statement.
The ternary operator statement (a < 5) ? 12 : d = 30; achieves the same outcome as the original if/else statement, providing an alternative way to write the logic based on the condition a < 5.
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Each side of a square is increasing at a rate of 6 cm/ s. At what rate is the area of the square increasing when the area of the square is 16 cm2?
when the area of the square is 16 cm², the area is increasing at a rate of 48 cm²/s.
When the area of the square is 16 cm², the length of each side is 4 cm. Using the formula for the area of a square, A = s², we can see that the area is increasing at a rate of:
dA/dt = 2s(ds/dt)
Plugging in the values we know, we get:
dA/dt = 2(4 cm)(6 cm/s)
dA/dt = 48 cm²/s
Therefore, when the area of the square is 16 cm², the area is increasing at a rate of 48 cm²/s.
let's first find the side length of the square when its area is 16 cm². Since the area of a square is calculated as side², we can take the square root of the area to get the side length: √16 = 4 cm. Now, we know that each side of the square is increasing at a rate of 6 cm/s. To find the rate at which the area is increasing, we'll use the formula for the derivative of area with respect to time: dA/dt = 2 * side * d(side)/dt. Plug in the values we have: dA/dt = 2 * 4 cm * 6 cm/s = 48 cm²/s. So, the area of the square is increasing at a rate of 48 cm²/s when the area is 16 cm².
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Pls help me i will give u brainlist
Answer:
y < or= -3/2
Step-by-step explanation:
Answer:
< or= -3/2
Step-by-step explanation:
1. If a bank offered you the following terms on a loan, which would be the BEST for the BANK and why? Explain in a sentence or two.A. Simple interestB. Compound interest yearlyC. Compound interest quarterlyD. Compound interest monthlyE. Compound interest daily
For a loan, simple interest makes the customer pay interest only for the amount of the loan.
Compound interest makes the customer pay interest for the loan balance at the end of each payment period. In other words, the customer pays interest over interest based on the remaining balance.
Of course, the best option for the bank is that the customer pays more often so the interest adds up more times for the loan duration.
The daily compound interest is the best choice for the bank because the loan recalculates every day, that is, 360 (or 365) times a year as compared to the monthly, quarterly, or yearly compound interest.
Answer: E. Compound interest daily
A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average speed of the train is 60 mph.
Answer:
160 miles away
Step-by-step explanation:
I am BIG brain
Answer:
160
Step-by-step explantion
The train leaves at 10:20 AM and arrives at 1:00 PM.
It takes 2 hours and 40 for the train to arrive at Stamford.
1 hour = 60 miles
SO
60+60+60*2/3=160
Is fishing better from a boat or from the shore? Pyramid Lake is located on the Paiute Indian Reservation in Nevada. Presidents, movie stars, and people who just want to catch fish go to Pyramid Lake for really large cutthroat trout. Let row B represent hours per fish caught fishing from the shore, and let row A represent hours per fish caught using a boat. The following data are paired by month from October through April.Oct Nov Dec Jan Feb March AprilB: Shore 2.4 1.6 2.3 3.2 3.9 3.6 3.3A: Boat 2.0 2.1 1.2 2.2 3.3 3.0 3.8Use a 5% level of significance to test if there is a difference in the population mean hours per fish caught using a boat compared with fishing from the shore.What is the value of the sample test statistic? (Use 3 decimal places.)Find (or estimate) the P-value. (Use degrees of freedom equal to the smaller of n1 − 1 and n2 − 1. Use 4 decimal places.)
Sample of test statistic is 2.080 and p-value is 0.082.
From the given information,
α = 0.01;
H₀ : μ = 0
H₁ : μ ≠ 0.
Student's t,
d.f. = 6
d = 0.371
t = 2.08
0.050 < p-value < 0.100
on t graph, shade area to the left of -2.08 and to the right of 2.08.
From TI-84, p-value = 0.0823.
P-value interval > 0.01 for α; fail to reject H₀.
At the 5% level of significance, the sample data do not support the claim that the average HC for this patient is higher than 14.
The P-value means the probability, for a given statistical model that, when the null hypothesis is true, the statistical summary would be equal to or more extreme than the actual observed results.
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Please help me in alegbra! :(
Answer:
1) 4
2) 1
3) -7
4) 13
Step-by-step explanation:
Instructions:
a) Subtract or add the slope from each side
( it doesn't matter which one you pick )
b) Subtract or add the # next to the slope from each side
( it doesn't matter which one you pick )
c) Divide Each number by the slope
d You have you answer
____________________________________________
1) 9x - 35 = - 7x + 29
+7x + 7x
_____________________
16x - 35 = 29
+ 35 +35
_____________________
16x = 64
_____________________
16 16
x = 4
2). - 2x - 2 = 9x - 13
+2x +2x
_____________________
- 2 = 11x - 13
+ 13 + 13
_____________________
11 = 11x
_____________________
11 11
1 = x
3). 3x + 29 = - 5x - 27
+5x + 5x
_____________________
8x + 29 = - 27
-29 -29
_____________________
8x = -56
_____________________
8 8
x = -7
4). x - 11 = 3x - 37
- x - x
______________________
-11 = 2x - 37
+37 +37
______________________
26 = 2x
_______________________
2 2
13 = x
Hope this helps! (:
Answer:
I cant see the photo
Step-by-step explanation:
the distance between a and b on the real line is d(a, b) =
The distance between two points a and b on the real line is given by the absolute difference between the two points, which is calculated as the positive difference between the values of a and b regardless of their order.
The distance function, denoted as d(a, b), is a metric that satisfies the properties of non-negativity, symmetry, and the triangle inequality. It is used to quantify the distance between two points in one-dimensional space, and is an important concept in geometry, analysis, and other fields of mathematics. The distance formula can be extended to higher dimensions and is used in various applications such as optimization, clustering, and machine learning.
The distance between two points a and b on the real line is given by the absolute difference between the two points: d(a, b) = |a - b|
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If 7 workers take 500 hours to finish a project, how long will it take 14 workers to complete the same project?
Answer:
250 hours
Step-by-step explanation: increasing the number of workers will make the project go faster. So they multiplied the 7 by 2 so now there are 14 workers so then the time it'll take to finish the project would be cut in half because now they have twice the numbers of workers. correct me if I'm wrong
pleas help ive been in this exam for 4 hours
An expression is shown below:
10n3 − 15n2 + 20xn2 − 30xn
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answer:
the
Step-by-step explanation:
the comen factor are 10-15+20-30
and Factor the entire expression completely.
are n and 2
Which event will have a sample space of S = {h, t}?
Flipping a fair, two-sided coin
Rolling a six-sided die
Spinning a spinner with three sections
Choosing a tile from a pair of tiles, one with the letter A and one with the letter B
Flipping a fair, two-sided coin will have a sample space of S = {h, t}.
What is sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive
All we have to do is multiply the events together to get the total number of outcomes. Using our example above,
notice that flipping a coin has two possible results, and rolling a die has six possible outcomes.
If we multiply them together, we get the total number of outcomes for the sample space: 2 x 6 = 12!
Spinning a spinner with three sections will give 3 outcomes.
Choosing a tile from a pair of tiles, one with the letter A and one with the letter B will give multiple outcomes depending on the Total number of tiles.
Therefore, Flipping a fair, two-sided coin will have a sample space of S = {h, t}.
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Can you guys help me with this
By using the distributive property we will get the simplified expression:
-4*(-3x + 11) = 12x - 44
How to simplify the expression?Here we have the following expression:
-4*(-3x + 11)
First, we use the distributive property to write:
-4*(-3x + 11) = -4*(-3x) + (-4)*11
Now we can find each of these two products:
The first one gives:
-4*(-3x) = 12x
The second one gives:
(-4)*11 = -44
Then the simplified expression is:
-4*(-3x + 11) = 12x - 44
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is that a right triangle??
Answer:
no
Step-by-step explanation:
it is an acute triangle
there is no angle equal to 90 °
given a normal distribution with mean of 4 and standard deviation of 1, what is the probability a data point is less than 5?
The probability for a data point is less than is 0.8413.
The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.
The mean(μ)=4
Standard deviation(σ)=1
(P<5)
From the figure, standard normal distribution curve probability which we have to find P<5
It is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
P(x=4)=x-μ/σ
=4-4/1=0
P(x=4)=50%
P(x<5)=P(x=4)+P(x=1)
=50%+34.13%
=0.8413
P(x<5)=0.8413
Therefore, the probability a data point is less than 5 is 0.8413.
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5 3/4 + 11\8 = ????
Answer:
7 1/8 = 7.125
Step-by-step explanation:
5 3/4 + 11/8
23/4 + 11/8
23/4 * 2 + 11/8
46/8+11/8
46+11/8
57/8
7.125
Find the modulus, argument and principal value of
\(z = \sqrt{ \frac{1 + i}{1 - i} } \)
The modulus is 1, argument is π/4 and the principal value is π/4 mod 2π
How to determine the modulus, argument and principal valueFrom the question, we have the following parameters that can be used in our computation:
\(z = \sqrt{ \frac{1 + i}{1 - i}\)
Rationalize the expression
So, we have
\(z = \sqrt{ \frac{1 + i}{1 - i} = \frac{(1 + i)(1 + i)}{(1 - i)(1 + i)} = \frac{1 + 2i + i^2}{1 - i^2} = \frac{1 + 2i - 1}{1 + 1} = \frac{2i}{2} = i\)
This means that
z = √i
The modulus of a complex number is calculated as
|z| = √(a^2 + b^2)
where z = a + bi. In this case, a = 0 and b = 1
So, we have
|z| = √(0^2 + 1^2)
|z| = 1
The argument of a complex number is calculated as
\(\arg(z) = \tan^{-1} \left( \frac{b}{a} \right)\)
So, we have
\(\arg(z) = \tan^{-1} \left( \frac{1}{0} \right)\)
This gives
arg(z) = π/4
The principal value of the argument of z is
arg(z) mod 2π
So, we have
π/4 mod 2π
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