The y-intercept of a graph is the point where the graph crosses the y- axis:
and this point has x - value equal to zero. Therefore, the answer is option A: The y-intercept is (0,-2)
Shaswant lent a sum of 44,000 to his friend Rahul at 10 percent p a. After 2 years and 6months his friend paid him To 40,000 with a cow. What was the price of cow.?
Answer:
4000 because a cow is 4000 and he gave 40000
cause he used it for sinething
graph the parabola x=1/2(y-2)^2-4. find and graph the vertex, focus, directrix, and focal chord endpoints.
1. Find the graph of the parabola attached below
2. Vertex (-4, 2) Focus (-7/2, 2) Directrix (x = -9/2) Endpoints (-7/2, 1) (-7/2, 3)
How do we find the vertex, focus, directrix, and focal chord endpoints or the parabola?For the parabola, x = 1/2(y-2)² - 4 we will use the equation x = 4p(y-k)² + h,
Vertex → (h, k)
In our given equation, (y - 2) → (y - k), so k = 2. The term on the rightmost side of our equation (-4) → h in the form, so we know h = -4. ∴ vertex (-4, 2).
focus → (h, k) = (-4, 2); P = 1/2
Parabola is symmetric around the x axis and so the focus lies a distance P, from the center, along the x axis.
∴ Focus is (-4 + p, 2)
(-4 + 1/2, 2) ⇒ (-7/2, 2)
directrix → x = d
Parabola is symmetric around the x axis and therefore the directrix is a line paralled to the y axis a distance away from the ceter (-4, 2) x coordinate.
∴ x = -4 - p ⇒ x = -4 - 1/2
x = 9/2
focal chord endpoints →
The focus of the parabola is (-7/2, 2).
The y-coordinate of the focus is 2, so the y-coordinates of the endpoints of the focal chord are 2 + 1 and 2 - 1, → 3 and 1.
Therefore, the endpoints of the focal chord are:
(-7/2, 3) and (-7/2, 1).
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f(x)=4x+6 and g(x)=1/2 * f(x)
What is the function rule for function g?
g(x)=
Answer: 2x + 3
Step-by-step explanation:
f(x) = 4x + 6
g(x) = 1/2 * f(x)
Plug f(x) into the g(x) equation.
g(x) = 1/2 * (4x + 6)
Now simplify,
g(x) = 2x + 3
How does the job satisfaction score for weeks 5-8 compare to weeks 1-4?
The correct comparison for Weeks 5-8 is higher than Week 1-4, hence, the job satisfaction for Week 5-8 is 17% higher.
Job Satisfaction Score :
Week 1 = 3.50Week 2 = 3.40Week 3 = 3.30Week 4 = 3.60Week 5 = 4.20Week 6 = 4.00Week 7 = 4.10Week 8 = 3.90Job Satisfaction for week 1 - 4 :
Week 1 + Week 2 + Week 3 + Week 4 (3.50 + 3.40 + 3.30 + 3.60) = 13.80Job Satisfaction for Week 5 - 8 :
Week 5 + Week 6 + Week 7 + Week 8(4.20 + 4.00 + 4.10 + 3.90) = 16.20Difference between the two categories :
[(Week 5 - 8) - (Week 1-4)] / Week 1-4] × 100%
(16.20 - 13.80) / 13.80 × 100%
(2.4 / 13.80) × 100%
0.1739 × 100%
= 17.39%
Therefore, the job satisfaction for Week 5 - 8 is about 17% higher than Week 1 - 4
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The base of the mountain is 6,500 feet above sea level and AB measures 230 feet across. Given that the measurements for QAP is 20° and QBP is 35°, how far above sea level is peak P ? Express your answer to the nearest foot.
Height above sea level:
Answer:
6610
Step-by-step explanation:
We have tan(X) = opposite/ adjacent
tan(QBP) = PQ/BQ
tan(35) = PQ/BQ ---eq(1)
tan(QAP) = PQ/AQ
tan(20) = \(\frac{PQ}{AB +BQ}\)
\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)
230*tan(20) + PQ*tan(20)*tan(35) = PQ
⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)
⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]
\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)
\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)
PQ = 110.4
≈110
Height above sea level = 6500 + PQ
6500 + 110
= 6610
Plz help asap I’ll give you 100 points
Answer:
P = 8x² + 12y unitsStep-by-step explanation:
Given sides of rectangle:
x + 4y4x² - x + 2yIts perimeter is:
P = 2(l + w)P = 2(x + 4y + 4x² - x + 2y)P = 2(4x² + 6y)P = 8x² + 12yAnswer:
\(\textsf{Perimeter}= 8x^2+12y\)
Step-by-step explanation:
A rectangle has 2 pairs of parallel, congruent sides.
The perimeter of a two-dimensional shape is the distance all the way around the outside. Therefore, the perimeter of a rectangle is twice the sum of its length and width.
Given:
width = \(x + 4y\)length = \(4x^2-x+2y\)Therefore:
\(\begin{aligned}\sf Perimeter & = 2(\sf width + length)\\& = 2 \left((x+4y)+(4x^2-x+2y)\right)\\& = 2(x+4y+4x^2-x+2y)\\& = 2x+8y+8x^2-2x+4y\\& = 8x^2+2x-2x+8y+4y\\& = 8x^2+12y\end{aligned}\)
Marilyn is buying a birthday present for her son from his favorite store. She has a $25 store credit that will help cover the cost of his gift. Marilyn wants to spend less than $31 after applying the store credit. If p represents the cost of the present, then this situation can be modeled by the inequality,
p - 25 < 31
Which value could be a possible cost for the present and a solution to Marilyn’s inequality?
Therefore , the solution of the given problem of inequality comes out to be less than 56, such as $30 or $45.
Inequality: what is it?Due to the lack of an indication for this distinction in algebra, it can be represented by a combination or set two numbers. Equilibrium is typically followed by equity. The ongoing disparity in standards is the source of inequality. Disparity is not the same as equality. Despite knowing that the elements are frequently not related nor close to one another, as was my least favourite symbol. (). All deviations, no matter how slight, have an impact on value.
Here,
We must isolate the variable p on one side of the inequality sign in order to solve the inequality:
=> p - 25 < 31
To both sides, add 25:
=> p - 25 + 25 < 31 + 25
Simplify:
=> p < 56
Since the cost would be less than $31 after applying the shop credit, any value of p that is less than 56 would constitute a solution to Marilyn's inequality.
When the store credit is applied, Marilyn would pay $25 rather than $31 for a $50 gift, for instance.
Therefore, $50 is a potential expense for the present as well as a remedy for the inequality.
There are other other solutions that are less than 56, such as $30 or $45.
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The area of a square is 100 square centimeters. what is the perimeter
Answer:
Step-by-step explanation:
area of a square = S x S
side = ⱱarea
side = ⱱ100
side = 10cm
perimeter = 4s
= 4 x 10
=40cm
ANSWER FOR EXTRA POINTS ⭐️⭐️⭐️
the answer is b if i remeber
If the radius of a circle is 9 cm, how long is the diameter
Answer:
18 cm
Step-by-step explanation:
pls give me the answer quick ILL GIVE BRAINLIEST
Answer:
11.1m/s to the right
Step-by-step explanation:
Momentum before = momentum after
m₁u₁+m₂u₂=(m₁+m₂)v
1000(20)+800(0)=(1000+800)v
20000 = 1800 v
v= 11.1m/s to the right (to the right because the number is positive)
The back of a dog house is composed of a square and a triangle . How much wood wood is needed for the back of the dog house to the nearest tenth of square foot. Pls use pi with formula of area and also use a expression
Answer:
68
Step-by-step explanation:
I just know I was in class with my teacher
Lois and her team used the number of red candies in a
small 9 ounce bag to predict the number of red candies in
a large 33 ounce bag. If Lois counted 12 red candies in the
small bag, Predict the number of red candies in the large bag.
Use proportional reasoning and show algebraic work.
Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.
Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:
P = Proportion of red candies in the large bag
R = Red candies in the small bag
R × (33/9) = P
12 × (33/9) = P
P = 40 red candies in the large bag
Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.
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Can someone please help me!!!
find the exact value of Sin A
Step-by-step explanation:
sin A = opposite/ Hypotenuse
Sin A = 5/7
Hello !
sin(A) = opposite/hypotenuse = 5/7
arcsin(5/7) ≈ 45,58°
sin(A) = 5/7
the angle A ≈ 45,58°
Please help, I will mark you brainiest!
Answer:
20
Step-by-step explanation:
The line measures a total of 180°
So make an equation where all of the angles added together = 180
100 + 3x + x = 180
Then solve for x.
First, combine like terms.
100 + 4x = 180
Subtract 100 from both sides
4x = 80
Divide both sides by 4 to isolate x
x = 20
Factor −5x2 + 10x.
PLS HURRY NEED THIS DUE TODAY
Answer:
C. 5x(-x + 2)
Step-by-step explanation:
To factor the expression -5x² + 10x, we need to look for a common factor that can be factored out.
Finding a common factor involves identifying a term or expression that can be factored out from each term of a given expression.
Both terms have the common factor of 5x, so we can factor out 5x:
5x(-x + 2)
Therefore, the factored form of -5x² + 10x is -5x(x - 2).
\(\hrulefill\)
Additional notes:
If we expand the expressions in the given answer options, we get:
A. −5x(x + 2) = -5x² - 10x
B. 5(−x² + 10x) = -5x² + 50x
C. 5x(−x + 2) = -5x² + 10x
D. x(5x + 10) = 5x² + 10x
Hence confirming that the correct answer is option C.
To factor \(-5x^2+10x\), we can begin by factoring out the greatest common factor, which is \(-5x\):
\(-5x^2 + 10x = \boxed{-5x(x - 2)}\)We can check our answer by distributing \(-5x\) to the expression inside the parentheses:
\(\begin{aligned}-5x(x - 2)& = (-5x)(x) + (-5x)(-2)\\& = -5x^2 + 10x\end{aligned}\)\(\therefore\) The answer is \(-5x(x-2)\).
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
Please help with this!
4.3.4 shifting functions
2: do you agree with Serena that you can draw the graphs for the other two rockets by shifting the functions or do you think that Jack is correct and you need to recalculate the other two explain
3: compare the equation with the graph of the function assume the graph is atransformation from f (t)= -6t². Represent the science project what happens to the rocket
4: again assuming a transformation from f(t)= -6t² what does term 82.14 due to the rockets graph what does the value h (t)= 82.14 representative science project what is happening to the rocket
5: p Serena and Jack launch the second rocket 3 seconds after the first one how is the number of the second rocket different from the graph of the first rocket describe in terms of the the vertical and horizontal shift
6: what is the equation of the second rocket
7: they launched the third rocket and three seconds after the second rocket and from a tall platform but will the graph of the third rocket look like described in terms of the vertical and horizontal shape
8: what is the equation of the third rocket
9: answer the following questions about the three rockets refer to the graph rockets and times shown above
A: approximately when was the third rocket launched
B: approximately when does the first rocket land
C: what is the approximate interval during which all three rockets are in the air
The vertical shape of the graph will be the same as that of the first rocket, assuming both rockets have the same initial velocity and acceleration.
What is the interval during which all three rockets?1.I agree with Serena that we can draw the graphs for the other two rockets by shifting the functions. We can use the same equation and just adjust the values of the horizontal and vertical shifts.
2. The equation f(t) = -6t² represents a quadratic function, which has a parabolic shape when graphed. If we apply a transformation to this function, such as a vertical or horizontal shift, the shape of the graph will change accordingly.
3. The term 82.14 likely represents the maximum height achieved by the rocket, since the equation f(t) = -6t² gives the height of the rocket as a function of time. The value of h(t) = 82.14 corresponds to a specific time when the rocket reaches its maximum height.
4. If the second rocket is launched 3 seconds after the first one, the graph of the second rocket will be shifted horizontally by 3 units to the right compared to the graph of the first rocket. This represents a time delay of 3 seconds between the two launches.
5. The equation of the second rocket would be f(t) = -6(t-3)², assuming that the second rocket has the same initial velocity and acceleration as the first rocket but is launched 3 seconds later.
6. Since the third rocket is launched 3 seconds after the second rocket and from a tall platform, its graph will be shifted horizontally to the right by 6 units compared to the graph of the first rocket.
9. A: Based on the graph, the third rocket was launched at approximately 5:20 PM.
B: Based on the graph, the first rocket lands at approximately 5:15 PM.
C: Based on the graph, all three rockets are in the air between approximately 5:10 PM and 5:25 PM, so the approximate interval during which all three rockets are in the air is 15 minutes.
Therefore, spends an additional 6 seconds in the air before landing. The vertical shape of the graph will depend on the specifics of the rocket's launch and trajectory.
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0.5 (-2 + 4d) -13 for d
Step-by-step explanation:
-13 x 4 = -52
-52 x 0.5 = -25
-2 x 0.5 = -1
-1 + -25 = -26
elementary surveying two ridges b and c forms a valley having a at the bottom part in between the ridges. elevation difference between b nad c is 111..356 m. observing at point a, the angle of elevation is
the difference of elevation between a and b.Let AB = x, tan 36 = x/111.356 ,x = 111.356 tan 36= 64.39 m and Difference in elevation = 64.39m
We are given that two ridges B and C form a valley with a point A at the bottom part with an elevation difference of 111.356m between the ridges and and angle of elevation of 36 degrees at point A. To find the difference of elevation between A and B, we use the formula of tangent which is tan θ = Opposite/Adjacent. We substitute the values and solve for x, which is the elevation difference between A and B. So the difference in elevation between A and B is 64.39m.
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in a class experiment, Sean finds that the probability that a student plays soccer is 12/25. if the school population is 300, how many students would we expect to play soccer, based on Sean's experiment?
Okay, here we have this:
Considering the provided information, we are going to calculate the requested value, so we obtain the following:
Then we will substitute in the following formula:
Students who play soccer=Number of students*(Probability that they play soccer)
Replacing:
Students who play soccer=300*(12/25)
Students who play soccer=3600/25
Students who play soccer=144
Finally we obtain that 144 students would we expect to play soccer, based on Sean's experiment.
geometry need help asap
The value of angle LAF in the intersecting chords is determined as 104⁰.
What is the value of angle LAF?The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
m∠LAF = ¹/₂ (arc LF + arc YS)
From the diagram, we have arc LF = 160⁰ and YS = 48⁰
m∠LAF = ¹/₂ (160 + 48)
m∠LAF = 104⁰
Thus, the value of angle LAF is calculated by applying intersecting chord theorem.
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Write the expression as a single natural logarithm.
5 In 3
Answer:
5ln3=ln(3^5)
Step-by-step explanation:
Given: 5ln(3)
Use rule: alog(b)=log(b^a), aln(b)=ln(b^a) (doesn't matter what the log base is)
Apply rule: ln(3^5)
Please help me with this.
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
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Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Michelle was fishing in her canoe at point A in the lake depicted
above. After trying to fish there, she decided to paddle due east
at a steady speed of 10 miles per hour. As she paddled, a wind
blowing due south at 5 miles per hour caused a change in her
direction. To the nearest tenth of a mile, what is the velocity,
represented by vector AC, of her canoe?
A 8.6 miles per hour
B 10 miles per hour
11.2 miles per hour
D 17.2 miles per hour
The velocity represented by vector AC of Michelle's canoe is approximately option C. 11.2 miles per hour.
How did we get the value?To determine the velocity, represented by vector AC, of Michelle's canoe, use the concept of vector addition.
Break down the motion into its components:
1. Paddling due east at 10 miles per hour: This motion can be represented by a vector pointing in the positive x-direction with a magnitude of 10 mph.
2. Wind blowing due south at 5 miles per hour: This motion can be represented by a vector pointing in the negative y-direction with a magnitude of 5 mph.
To find the resultant velocity, add these two vectors. Using the Pythagorean theorem, calculate the magnitude of the resultant velocity:
AC² = AB² + BC²
AB (paddling east) = 10 mph
BC (wind blowing south) = -5 mph (negative sign due to opposite direction)
AC² = (10 mph)² + (-5 mph)²
AC² = 100 mph² + 25 mph²
AC² = 125 mph²
Taking the square root of both sides:
AC ≈ √(125) mph
AC ≈ 11.2 mph (rounded to the nearest tenth)
Therefore, the velocity represented by vector AC of Michelle's canoe is approximately 11.2 miles per hour.
The correct answer is option C: 11.2 miles per hour.
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48:23 +4.10 3/4
Help pls....
Answer:
48:26.075
Step-by-step explanation:
What is the absolute value of the critical value for a two-tailed, independent-samples t test when the total sample size is 26 and the alpha level (or p-level) is 0.01 (1%)?
Answer:
The critical value for a two tailed test
t₍₂₅,₀.₀₁₎ = 2.4851
Step-by-step explanation:
Explanation:-
Given sample size 'n' = 26
The level of significance '∝' = 0.01
degrees of freedom = n-1 = 26-1 =25
we will use 't' - distribution
\(t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }\)
The critical value for a two tailed test
t₍₂₅,₀.₀₁₎ = 2.4851
1 -1/5 is equal to
a 2/5
b 3/5
c4/5
d 1/5
A woman bought 210 oranges for 100 Ghana cedis.she sold all of them at 3 for 2 Ghana cedis.find the total selling price of the oranges
Answer:
bitylink
Step-by-step explanation:
edecfedfx