After 5.94 sec it will reach at maximum height.
What is quadratic equation ?An algebraic equation of the second degree in x is a quadratic equation. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the standard quadratic equation.
Calculationy = -16a² + 190x + 72
for maximum y value we need to find y'(x)
y' = -32x + 190
put y' = 0
-32x + 190 = 0
x = 5.94 sec
so after 5.94 sec it will reach at maximum height.
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HELP DUE RIGHT NOWW!:((
The correct option will be C that is x+y=15 and 7x+12y=145 as the system of equation defines, "A group of equations involving one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions to systems of equations".
What is system of equation?A group of equations involving one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions to systems of equations. In order for one term to have equal and opposite coefficients in the two equations, multiply one or both equations by an integer. The equations are combined to form a single equation with a single variable. Do the variable's solution. Reintroduce the variable into the equation and then find the value of the other variable. Systems of linear equations in two variables can be solved in one of three ways: by graphing; by the substitution method; or by the elimination method.
Here,
Let x be the plate of 7 inch and y be the plate of 12 inch.
x+y=15
The total of diameter for both the plate is 145 inches.
7x+12y=145
The right option is C, which has the values x+y=15 and 7x+12y=145. according to the equations' definition, "A system of equations is a collection of equations involving one or more variables. Systems of equations have solutions that are either the variable mappings that satisfy each component equation or the locations where all of these equations intersect ".
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There is a line that includes the point (4, 6)
and has a slope of 1. What is its equation in
slope-intercept form?
Answer: y=x+2
Step-by-step explanation:
y-6=1(x-4)
y-6=x-4
y=x-4+6
y=x+2
Slove for y9/4y-12=1/4y-4
we have the expression
[tex]\frac{9}{4}y-12=\frac{1}{4}y-4[/tex]Solve for y
That means
Isolate the variable y
so
step 1
Multiply by 4 both sides to remove the fractions
[tex]9y-48=y-16[/tex]step 2
subtract y both sides
[tex]\begin{gathered} 9y-48-y=y-16-y \\ 8y-48=-16 \end{gathered}[/tex]step 3
Adds 48 both sides
[tex]\begin{gathered} 8y-48+48=-16+48 \\ 8y=32 \end{gathered}[/tex]step 4
Divide by 8 both sides
[tex]\begin{gathered} y=\frac{32}{8} \\ y=4 \end{gathered}[/tex]therefore
the value of y=4- 3(x + 7) - 3x - 18 ? Please I really need help because our long-term sub won’t explain it in a way I can understand
Answer:
-6x - 39
Step-by-step explanation:
-3(x + 7) -3x -18 Fist distribute the -3
-3(x) + -3(7) -3x -18 Simplify (a negative times a positive is a negative)
-3x -21 -3x -18 Now combine like terms
-6x -39
1/3(x+18)= 7 sole for x
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
1/3(x+18)= 7
x = ?
Step 02:
We must apply the algebraic rules to find the solution.
[tex]\begin{gathered} \frac{1}{3}\cdot(x+18)=7 \\ x\text{ + 18 = 3}\cdot7 \\ x=21-18\text{ = 3} \end{gathered}[/tex]The answer is:
x = 3
if two cubes have a ratio of 5:3, what is the ratio of their respective volumes? and if two cones have heights in the ratio d:c, what is the ratio of their respective volumes?
SOLUTION:
(a) We want to find the ratio of the volumes of the cubes,
5 x 5 x 5 = 125
3 x 3 x 3 = 27
125 : 27
(b) Since the two cones are similar, the ratio of the heights will be the same as the ratio of the radii, which means that the ratio of the volume will be;
[tex]d^{3\text{ }}\colon c^3[/tex]The total number of participants who went on the seventh-grade field trip to the Pink Palace consisted of all of the seventh-grade students and 13 adult chaperones. Four-ninth of the total participants rode a large bus, and the rest rode a smaller bus. If 156 people rode the larger bus, how many students went on the field trip?
338 students went on the field trip.
Given:
Four-ninth of the total participants rode a large bus, and the rest rode a smaller bus.
156 people rode the larger bus.
Let x be the total participants.
4/9 x = 156
multiply by 9 on both sides
4*9/9 x = 156*9
4x = 156*9
4x = 1404
divide by 4 on both sides
4x/4 = 1404/4
x = 1404/4
x = 351.
number of students = total participants - adult chaperones.
= 351 -13
= 338 students
Therefore 338 students went on the field trip.
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7. My little sister wants to ride her tricycle. She jumps on and heads east for 1000 m before sheturns around and comes back to the west for 300 m before falling off. What is the distance mysister traveled? What is my sister's displacement?NES
First let's make the picture of the movement of the little sister:
The green line represents the first trip and the red line represents the trip back.
Since she traveled 1000m and then came back 300m, we have that:
[tex]1000m+300m=1300m[/tex]therefore, the little sister displaced 700 meters and she traveled 1300m
HELP QUICKLY THANK YOU!
a14. What are the lengths of b and c? Write your answer to the nearest tenth of a metre, where appropriate. b 5m 3 m-k3 m
Solution:
As you can see in the diagram, there are two triangles. We will separate the two triangles into the smaller and the bigger one.
For the smaller triangle:
Now we will use the Pythagorean Theorem. The theorem states that the square of the longest side is equal to the sum of the squares of the two other sides.
To solve for the value of b, we will have:
[tex]\begin{gathered} 5^2=3^2+b^2 \\ b^2=5^2-3^2 \\ b=\sqrt[]{5^2-3^2} \\ b=\sqrt[]{25-9} \\ b=\sqrt[]{16} \\ b=4 \end{gathered}[/tex]For the bigger triangle:
We will also use the pythagorean theorem to find the value of c and by using the value of b we got from the smaller triangle.
[tex]\begin{gathered} c^2=b^2+6^2 \\ c^2=4^2+6^2 \\ c=\sqrt[]{4^2+6^2} \\ c=\sqrt[]{16+36} \\ c=\sqrt[]{52} \\ c=2\sqrt[]{13} \\ c=7.211102551 \end{gathered}[/tex]ANSWER:
b = 4 cm
c = 7.2 cm
Rico drove 200 miles on 12 gallons of gas. How far
can he drive on 3 gallons of gas?
Gallons of cas
200
12
6
Answer:
50
Step-by-step explanation:
With an equation such as
200÷12 = 16.666, or 16+(2/3)
You are able to determine how many miles each gallon contributed to. With that, you can take
16 × 3 = 48
3 x 2
1 x 3
(done for the fraction)
6/2 is the outputted fraction, which translates into 2.
48 + 2 = 50
I really need help with this
Mean for the girls is 137.6% of the mean for the boys.
What is Mean?
Suppose, there is a data and the average of the data has to be calculated. Mean is used to find the average of the data.
Mean is calculated by dividing the sum of all observations by the number of observations.
Here,
Let the midpoint be denoted by x and number of boys be denoted by f
[tex]\Sigma fx = 10 \times 18 + 30\times 9 + 50\times 7 + 70 \times 6\\[/tex]
[tex]= 1220[/tex]
[tex]\Sigma f = 40[/tex]
Mean for boys = [tex]\frac{1220}{40}[/tex]
= 30.5
Let mean for the girls be x % of the mean of boys
By the problem,
[tex]\frac{x}{100}\times 30.5 = 48.8\\x = \frac{48.8 \times 100}{35.5}\\[/tex]
x =137.46%
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Which of the following is not a condition that must be met before you can use
the quadratic formula to find the solutions of an equation?
OA. There can be no term whose degree is higher than 2.
OB. The coefficient of the x-term can't be zero.
OC. One side of the equation must be zero.
OD. The coefficient of the x-term must be positive.
Answer:
A
Step-by-step explanation:
you can answer quadratic equations with a degree above 2
if the local rate for electrical service is 6cents per kilowatt-hour how much money would be saved in a year by using a dishwasher 4times per week rather than 6 times per week
Given:
The local rate for electrical service is 6 cents per kilowatt-hour.
We need to know how much money would be saved in a year by using a dishwasher 4times per week rather than 6 times per week
From the table:
The cost of using a dishwasher 4 times per week = $29
The cost of using a dishwasher 6 times per week = $44
So, the saving will be = 44 - 29 = 15
So, the answer will be $15
I dont understand the question
The dot plots show the distribution of the length, in centimeters, of 25 shark teeth for an extinct species of shark and the length, in centimeters, of 25 shark teeth for a closely related shark species that is still living.
Compare the two dot plots using the shape of the distribution, measures of center, and measures of variability. Use the situation described in the problem in your explanation.
Living species teeth is shorter than extinct species & large species teeth length is more concentrated.
Slope of the distribution:
For extinct species, the symmetric distribution
For living species, left -shaved distribution.
Measures of center:
For extinct species: mean = 3.02 cm
For large species: mean = 2.32 cm
Therefore living species teeth length is shorter than extinct species.
Measures of variability:
For extinct species: b = 6.015cm
For large species: b = 0.13 cm
Therefore large species teeth length is more concentrated.
Hence the answer is, living species teeth is shorter than extinct species & large species teeth length is more concentrated.
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Which of the linear equations represents the graphed line?
Responses
A y = 32x + 1y = 3 2 x + 1
B y = −23x + 1y = − 2 3 x + 1
C y = −32x + 1y = − 3 2 x + 1
D y = 23x + 1
The linear equations of the graph are y = 2/3x + 1. Option D.
Solution:
Let's find the slope of the graph using the coordinates (0, 1) (-3, -1)
m = y₂ - y₁ / x₂ - x₁
m = -1 - 1 / -3 - 0
m = -2/-3
m = 2/3
Using the slope-intercept form,
y = MX + c
where
m = slope
c = y-intercept(This is when x = 0)
Therefore,
c = 1
Finally, the equation will be y = 2/3 x + 1.
An equation is a mathematical statement consisting of two expressions joined by an equal sign. The ID applies to all values of the variable. Constraint expressions apply only to specific values of variables. A mathematical expression that expresses the relationship between two terms on either side of a letter.
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Use the Law of Syllogism to draw a conclusion from the two given statements.
If a number is a multiple of 64,then it is a multiple of 8.
If a number is a multiple of 8, then it is a multiple of 2.
Answer:
C. is your answer nwow.
Step-by-step explanation:
what Is the difference in low and high temperatures here are the temperatures in the pic!!!
The difference is calculated as:
15°F - ( - 15°F) = 15°F + 15 °F = 30°F
Because 15°f is the highest temperature and -15°F is the lowest temperature
Answer = 30 °F
2)
B
34°
C
A) similar; AA similarity
B) not similar
C) similar; SSS and SAS similarity
D) similar; SAS similarity
34°
Answer:
a
Step-by-step explanation:
How many solutions does this equation have?
–8y + 1 = –8y
Answer:
-8 + 1 = -8
+8 +8
1 = 0
no solution
Can someone help? :)
The slope of the given line is [tex]-\frac{3}{5}[/tex]
What is slope of a line?
Slope of a line is the tangent of the angle which the line makes with the positive direction of x axis
If [tex]\theta[/tex] is the angle which the line makes with the positive direction of x axis, then slope of the line is given by
m = [tex]tan\theta[/tex]
If the line passes through [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]
slope = [tex]\frac{y_2-y_1}{x_2 - x_1}[/tex]
The given line passes through ( -1, -5) and (4, -8)
Slope of the line =
[tex]\frac{-8-(-5)}{4-(-1)}\\-\frac{3}{5}\\\\[/tex]
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Solve for x
-34>5x-4 or 5x-4 ≥-9
Need this asap please
Answer: −33.5 or - 67x over 2 -4
i might be wrong
Step-by-step explanation:
A local water park found that if the price of admission was $19, the attendance was about 1550 customers per week. When the price of admission was dropped to $16,attendance increased to about 2350 per week. Write a linear equation for the attendance in terms of the price,p. (A = mp + b)
Given:
When the price of admission was $19, the attendance was about 1550 customers per week
And, when the price of admission was dropped to $16,
attendance increased to about 2350 per week
Let the attendance = A
And the price = p
The linear equation will be A = mp + b
Where (m) is the slope and (b) is the y-intercept
So,
When p = 19, A = 1550
When p = 16, A = 2350
So,
[tex]m=\frac{2350-1550}{16-19}=\frac{800}{-3}=-\frac{800}{3}[/tex]So,
[tex]A=-\frac{800}{3}p+b[/tex]we will find the value of (b) as follows:
[tex]\begin{gathered} 1550=-\frac{800}{3}\cdot19+b \\ 1550=-\frac{15200}{3}+b \\ b=\frac{19850}{3} \end{gathered}[/tex]So, the answer will be the linear equation is:
[tex]A=\frac{-800}{3}p+\frac{19850}{3}[/tex]Choć kulig hjchkxhkcgiciUPDATE to QUESTION
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What is the best approximation of the solution to the system to the nearest integer values?
A (3, 4)
B (2, 3)
C (1, 3)
D (3, 2)
Answer:
B (2, 3)
The two lines intersect near that point.
And example of statistical and non-statistical questions
Let us start by looking at the difference between statistical and non statistical question.
For a statistical question. a single answer is usually impossible while a statistical question has a single answer.
If someone asks how old are you, the answer is simple and it is expected to be a single answer.
If the question is how old are the boys in your neighborhood, a single answer is not possible. The ages are different since some are older than the others. In this case, there is spread in the data. We would be considering looking for the average age of a given number of boys. We may also consider the spread of the ages and other parameters like range, median etc
Use polynomial identities to factor the polynomial
25x^6-100y^4
Answer:
B. 4.
Step-by-step explanation:
Find the slope between the two points:(8,-1) and (-8,5)
Point 1 = (x1,y1)=(8,-1)
Point 2= (x2,y2)= (-8,5)
We have to apply the slope formula:
[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]Replace with the coordinates given:
[tex]m=\frac{(5-(-1))}{(-8-8)}=\frac{(5+1)}{(-16)}=\frac{6}{-16}=-\frac{3}{8}[/tex]What is the value of x in the equation 3/2(4x - 1) – 3x = 5/4-(x + 2)? Pick one below. 1. 1/16 2. 3/16 3. 19/164. 3X= ???
The equation is given as
[tex]\frac{3(4x-1)}{2}-3x=\frac{5}{4}-(x+2)[/tex][tex]\begin{gathered} \frac{3(4x-1)-2\ast3x}{2}=\frac{5-4\ast(x+2)}{4} \\ \frac{3(4x-1)-6x}{2}=\frac{5-4x-8}{4} \\ \frac{12x-3-6x}{1}=\frac{-3-4x}{2} \\ (6x-3)=\frac{-3-4x}{2} \\ (6x-3)\ast2=-3-4x \\ 12x-6=-3-4x \\ 12x+4x=-3+6 \\ 16x=3 \\ x=\frac{3}{16} \end{gathered}[/tex]The value of x is 3/16.
Working together, two secretaries can stuff the envelopes for a political fund-raising letter in 4 hours. Working alone, it takes the slower worker 15 hours longer to do the job than the faster worker. How long does it take each to do the job alone?.
The slower worker takes 20 hours and faster worker takes 5 hours to complete the job .
In the question,
it is given that ,
two secretaries stuff the envelopes for a political fund-raising letter in 4 hours .
let the time taken by fast worker to complete the job be x hours .
the slower worker takes 15 hours longer to do the job than faster worker
So , the time taken by slow workers to complete the job will be (x+15) hours .
the amount of work done by faster worker in 1 day = 1/x
the amount of work done by slower worker in 1 day = 1/(x+15)
total work done by both in 1 day = 1/x + 1/(x+15)
their combined 1 day work will be equal to 1/4 .
The equation representing is
1/x + 1/(x+15) = 1/4
(x+15+x)/(x²+15x) = 1/4
(2x+15)/(x²+15x) = 1/4
4(2x+15) = x²+15x
8x + 60 = x²+15x
x² + 15x - 8x - 60 = 0
x² + 15x - 8x - 60 = 0
x² + 7x - 60 = 0
x² + 12x - 5x - 60 = 0
x(x+12) -5(x+12) = 0
(x-5)(x+12)=0
we get x -5 = 0 or x+12=0
x = 5 or x = -12 .
the time cannot be in negative ,
So , fast worker to complete the job in = 5 hours
slow worker to complete the job in = 20 hours
Therefore , The slower worker takes 20 hours and faster worker takes 5 hours to complete the job .
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