Answer:
23000
Step-by-step explanation:
(2 x 10⁴) + (3 x 10³)
= (2 x 10000) + (3 x 1000)
= 20000 + 3000
= 23000
A ball is thrown from an initial height of 6 feet with an initial upward velocity of 40 fVs. The ball's height h (in feet) after / seconds is given by the following.
h=6+401-16r²
Find all values off for which the ball's height is 28 feet.
Round your answer(s) to the nearest hundredth.
The value for which the ball's height is 28 feet are 0.817sec and 1.683sec using quadratic equations.
What is a quadratic equation?
In algebra, a quadratic equation( from Latin quadratus' forecourt') is any equation that can be rearranged in standard form asax^2 + bx + c = 0
where x represents an unknown, and a, b, and c represent known figures, where a ≠ 0. is still, not quadratic, as there's no ax^2 term,( If a = 0( and b ≠ 0) also the equation is direct.)
The figures a, b, and c are the portions of the equation and may be distinguished by calling them, independently, the quadratic measure, the direct measure, and the constant or free term.The values of x that satisfy the equation are called results of the equation, and the roots or bottoms of the expression on its left-hand side. A quadratic equation has at most two solutions.Given,
h(0)=6 ft (six)
v(0)=40 ft/sec (fourty)
h(t)=6+40t-16t2 (equation)
for h=28 ft(twenty eight)
28=6+40t-16t2 (equation)
or 16t2 - 40t + 22 = 0 (equation)
or 8t2 - 20t + 11= 0(equation)
on solving the quadratic equation
t=0.817sec and 1.683sec (answer)
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What is 2/3 x 9 in fraction?
Answer: it would be 18/3 or
Step-by-step explanation:
2/3 x 9 = ?
1) You multiple both numerator and denominator: 2x9 / 3x1 = 18/3
2) Find the GCF ( greatest common factor) for both numbers. Which is
3) Then divide both the numerator and denominator by 3 to simplify to it's lowest term: 18÷3= 6 and 3÷3= 1 which gives a fraction of 6/1 or
A. Write the FF sets using the roster method:
B. Complete the FF by writing each set in three defferent ways :
The roster form of the given sets will be S = { 1, 2, 3, 4, 5, 6, 7, 8, 9}, S = { blue, red, green } and S = { Math, Science, English, Hindi, SST, Computer }.
We are given some sets in descriptive form.
We have to write it in the roster form.
The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.
1 ) The set of all counting numbers less than 10.
Roster form will be:
S = { 1, 2, 3, 4, 5, 6, 7, 8, 9}
2) The set of primary colors.
Roster form will be:
S = { blue, red, green }
3 ) The set of all subjects in grade 7 level:
Roster form will be:
S = { Math, Science, English, Hindi, SST, Computer }
Therefore, the roster form of the given sets will be S = { 1, 2, 3, 4, 5, 6, 7, 8, 9}, S = { blue, red, green } and S = { Math, Science, English, Hindi, SST, Computer }.
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Help please thank you
Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
We know that GE = [tex]x+21[/tex] = [tex]2x+23+9[/tex]
Calculate accordingly!
[tex]x+21=2x+23+9[/tex] ( minus [tex]2x[/tex] and minus 21 )
[tex]x-2x=-21+23+9[/tex]
[tex]-x=11[/tex]
Therefore,
[tex]x=-11[/tex]
( You can test this out by substituting the values )
Hope this helps!Simplify three eighths times the quantity 1 plus the square root of 49 end quantity squared minus the quantity four minus one end quantity cubed.
−3
−2
21
24
The value of the given expression is equivalent to -3
Simplifying linear equationsLinear equations are equation that has a linear degree of 1.
The statement three eighths times the quantity 1 plus the square root of 49 end quantity squared minus the quantity four minus one end quantity cubed is written mathematically as:
3/8(1+√49)² - (4-1)³
Expand to have:
3/8(1+7)² - 3³
3/8(8)² -27
3/8(64) - 27
3(8) - 27
24 - 27
-3
Hence the value of the given expression is equivalent to -3
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THIS IS IMPORTANT
Where can you find the pulse that is closest to your head?
elbow
wrist
neck
foot
Answer:
Neck
Step-by-step explanation:
Which one is closest to your head?
T-T
I cannot do this help me to this
we don't have enough information to conclude if the triangles are similar, thus, the correct option is C.
How to identify if the triangles are similar?
Two figures are similar if the figures have the same shape, but different size.
So, one figure is a dilation/contraction of the other figure.
In this case of the triangles, two are similar if and only if all the correspondent internal angles have the same measure.
For the case of the image, the triangles:
RST and RUV
would be similar if and only if line ST and line UV are parallel, in that case we would get that the angles at S and U are equal, and the same for the angles at T and V.
In this particular case, there is no indication that ST and UV are parallel. (they may be, the may not be)
So we don't have enough information to conclude if the triangles are similar, thus, the correct option is C.
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dam n bro uglier den a redneck on a sunday
Step-by-step explanation:
graph the lines Slope -1 passing through point (2,2)
The graph of the equation (y = x ) is attached below and this can be determined by using the point-slope form of the line.
Given :
A line with a slope of 1 that passes through the point (2,2).
The following steps can be used in order to sketch the graph a line with a slope of 1 that passes through the point (2,2):
Step 1 - First, determine the equation of the line that passes through the point (2,2) and has a slope of 1
Step 2 - Point-slope form can be used in order to determine the equation of a line.
y-y1 = m(x- x1)
where m is the slope and (x1, y1) is the point on the line.
Step 3 - Substitute the known terms in the above formula.
y-2 = 1(x-2)
Step 4 - Simplify the above equation.
y-2=x-2
x=y
Step 5 - Now, graph the above equation. The graph of the equation
(y = x ) is attached below.
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Suppose that for a function g (x), g (4) = 7. Select all of the statements that are true.
A. 4 is in the range of g.
B. For a value a, it is possible that g (a) = 4.
C. For a value y, it is possible that g (4) = y.
D. The point (4,7) is on the graph of y = g (x).
E. The point (7,4) is on the graph y = g (x).
Answer:
B and D
Step-by-step explanation:
The wording in the answer choices make a huge difference. It is possible implies that there is a possibility
A is false. The range of a function is the output value of the function for the input value in the domain of the function. So we can say with certainty that 7 is in the range since it is an output. But we cannot state that 4 is in the range because we have only one output value 7 for g(4)
A good example is a constant function such as g(x) = 7. Here, whatever the value of x, the y value is always 7. This represents a horizontal line passing through y = 7. So the range is just a single number {7}
B can be true. It is possible but not a certainty that f(a) = 4 for some value of a. For example, consider the function g(x) = x + 3.
At x = 4, g(4) = 4 .1 + 3 = 7
At x = 1, g(1) = 1 + 3 = 4 so it is possible for 4 to be an output
C is false. A well-defined function has only a unique value for a specific input of x. So we cannot get two different values for a single x value.
D is true. Since at x =4, y = g(x) = 7, this corresponds to a point on the graph. The point will be (x=4, y =7) or (4,7)
E is false. The x, y coordinates have been interchanged in this answer choice
The true statements are B and D.
The wording in the answer choices make a huge difference.
It is possible implies that there is a possibility
A. 4 is in the range of g.
A is false.
The range of a function is the output value of the function for the input value in the domain of the function. So we can say with certainty that 7 is in the range since it is an output. But we cannot state that 4 is in the range because we have only one output value 7 for g(4)
A good example is a constant function such as g(x) = 7.
Here, whatever the value of x, the y value is always 7.
This represents a horizontal line passing through y = 7.
So the range is just a single number {7}
B. For a value a, it is possible that g (a) = 4.
B can be true.
It is possible but not a certainty that f(a) = 4 for some value of a.
For example, consider the function g(x) = x + 3.
At x = 4, g(4) = 4 .1 + 3 = 7
At x = 1, g(1) = 1 + 3 = 4 so it is possible for 4 to be an output.
C. For a value y, it is possible that g (4) = y.
C is false.
A well-defined function has only a unique value for a specific input of x. So we cannot get two different values for a single x value.
D. The point (4,7) is on the graph of y = g (x).
D is true.
Since at x =4, y = g(x) = 7, this corresponds to a point on the graph.
The point will be (x=4, y =7) or (4,7)
E. The point (7, 4) is on the graph y = g(x).
False. The statement doesn't provide any information about g(7), and we cannot determine whether the point (7, 4) lies on the graph of the function y = g(x) based solely on the given information.
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Use Lagrange multipliers to find the minimum value of the function, f(x,y)= x2 + y2 subject to the constraint x + y =1
The Lagrangian is
[tex]L(x,y,\lambda) = x^2 + y^2 - \lambda (x + y - 1)[/tex]
Find its critical points.
[tex]\dfrac{\partial L}{\partial x} = 2x - \lambda = 0 \implies x = \dfrac\lambda2[/tex]
[tex]\dfrac{\partial L}{\partial y} = 2y - \lambda = 0 \implies y = \dfrac\lambda2[/tex]
[tex]\dfrac{\partial L}{\partial\lambda} = -(x+y-1) = 0 \implies x + y = 1[/tex]
From the first two conditions, [tex]x=y[/tex], so
[tex]x + y = 2x = 1 \implies x = y = \dfrac12[/tex]
At the point (1/2, 1/2), compute the Hessian determinant of [tex]f(x,y)[/tex].
[tex]H(x,y) = \begin{bmatrix} \dfrac{\partial^2f}{\partial x^2} & \dfrac{\partial^2f}{\partial x \partial y} \\\\ \dfrac{\partial^2f}{\partial y\partial x} & \dfrac{\partial^2f}{\partial y^2} \end{bmatrix} = \begin{bmatrix}2&0\\0&2\end{bmatrix}[/tex]
[tex]H(x,y)[/tex] is positive definite for all [tex]x,y[/tex], which indeed indicates a local minimum at (1/2, 1/2), so that
[tex]\min\left\{x^2+y^2 \mid x+y=1\right\} = f\left(\dfrac12,\dfrac12\right) = \dfrac14+\dfrac14 = \boxed{\dfrac12}[/tex]
A local hamburger shop sold a combined total of 684 hamburgers and cheeseburgers on Saturday. There were 66 fewer cheeseburgers sold than
hamburgers. How many hamburgers were sold on Saturday?
Answer:
375
Step-by-step explanation:
Let the number of hamburgers sold be x. Then, x-66 cheeseburgers were sold.
[tex]x+x-66=684 \\ \\ 2x=750 \\ \\ x=375[/tex]
Write the equation of a line perpendicular to the line: y = 2x - 1 that goes through the point (-8, -5).
Write your answer in slope- intercept form, using reduced fractions for the slope and intercept
The equation of a line perpendicular to the line is y = (-1/2)x - 9
Slope of the line perpendicular to y = 2x - 1, m =-1/2;
Therefore, equation of line perpendicular to given line in slope- intercept form is; y = (-1/2) x + c;
This line passes through (-8, -5); therefore;
-5 = (-1/2)(-8) + c;
c = -9;
Therefore, equation of required line is y = (-1/2)x - 9;
Perpendicular lines are two non-vertical lines in the same plane that intersect at a right angle. Horizontal and vertical lines are perpendicular to one other, forming the coordinate plane's axes. Negative reciprocals are the slopes of two perpendicular lines.
Vertical and horizontal lines are parallel to each other. In this scenario, the slope of the perpendicular line is equal to the slope of a horizontal line, which is 0. The slope of the parallel line is 0 while the slope of the perpendicular line is unknown.
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PLEASE HELP!!! ASAP!! FIND THE DOMAIN AND RANGE OF THEESE GRAPHS
Answer:
Domain: [-2, infinity)
Range: [-4, infinity)
Step-by-step explanation:
There's only one graph I see.
Domain is how far the graph extends on the x axis.
Range is how far the graph extends on the y axis.
A certain amusement park ride requires riders to be at least 48 inches tall. If the heights of children in a summer camp are normally distributed with mean 52 and standard deviation 2.5, how many of the 140 campers will be allowed on the ride? Round to the nearest integer.
The 48 inches allowable minimum height of a rider and the 52 and 2.5 mean and standard deviation of the height of the children in the camp of 140 campers, by the Z–Score gives the number of campers allowed as approximately 132 campers.
What is a Z–Score?The required height of riders is at least 48 inches.
The mean height of the children = 52 inches
The standard deviation of the children's height = 2.5 inches
The number of campers at the camp, n = 140
Required: The number of the 140 campers that will be allowed on the ride
Solution:
The Z–Score of the allowable campers is found using the equation;
[tex]z = \frac{x - \mu}{ \sigma} [/tex]
Which gives;
[tex]z = \frac{48 - 52}{2.5} = - 1.6[/tex]
From the Z–Score table, the probability (proportion) of a camper's height to be less than 48 inches is P(x < 48) = 0.05480
Therefore;
The probability that the height of a camper is more than 48 inches is given by the equation;
P(x > 48) = 1 - P(x < 48) = 1 - 0.05480
Which gives;
P(x > 48) = 1 - 0.05480 = 0.9452
Which gives;
The number of campers allowed, c, is given by the equation;
c = n × P(x > 48)
c = 140 × 0.9452 = 132.328 ≈ 132
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A rectangular ballroom is being carpeted and measures 32‘ x 24‘. Carpet cost $3.60 per square foot. What is the cost to carpet this room?
The cost to carpet this room area is $2764.8.
What is the area?
The area is the volume that expresses the extent of a region on the plane or on a twisted face. The area of a plane region or plane area refers to the area of a shape or planar lamella, while face area refers to the area of an open face or the boundary of a three-dimensional object.The area can be understood as the quantum of material with a given consistency that would be necessary to fashion a model of the shape.Area of room = 32*24 (product is equal to the area of carpet)
Cost of carpet per square foot = $3.6 (three. six)
Cost of carpet = Area of carpet * Cost of carpet per square foot (product)
= 32 x 24 x 3.6
= 2764.8
The cost to carpet this room area is $2764.8.
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Translate the sentence into an equation.
Six more than the quotient of a number and 4 is equal to 8.
Use the variable x for the unknown number.
Answer:
(n ÷ 4) + 6 = 8
Step-by-step explanation:
Quotient means The answer when you divide' So we are working in the division.
n ÷ 4 is the division part
It says 'and' which can also mean addition. So we add 6. So far our equation is: (n ÷ 4) + 6 (Brackets are needed as we are dividing n by 4 and not dividing n by 4+6)
Lastly it says the answer must be 8 so we add that at the end. So the answer is:
(n ÷ 4) + 6 = 8
solve: let f(x)=2x-1 and g(x)=x^2-4. find g(f(x))
Work Shown:
g(x) = x^2 - 4
g(f(x)) = ( f(x) )^2 - 4
g(f(x)) = ( 2x-1 )^2 - 4
g(f(x)) = (2x-1)(2x-1) - 4
g(f(x)) = 4x^2-2x-2x+1 - 4
g(f(x)) = 4x^2 - 4x - 3
The perimeter of the triangle below is 73 units. Find the value of x.
Answer:
3x+4x-1+x+2=73
8x+1=73
8x=73-1
8x=72
8x/8=72/8
x=9
Perimeter (p) of a triangle:
[tex]p = a + b + c[/tex]
P = 73 units
To find the value of x
[tex]73 = 3x + 4x - 1 + x + 2[/tex]
→[tex]73 = 8x + 1 \\ 73 - 1 = 8x[/tex]
→[tex]8x = 72[/tex]
→[tex] \frac{8x}{8} = \frac{72}{8} [/tex]
[tex]x = 9[/tex]
Find the next item in the
pattern:
-3, 6, -12, 24, ...
3+ −6 = ? I need an answer asap!
Answer:
-3
Step-by-step explanation:
Hope this helps!
Answer:
-3
Step-by-step explanation:
if its negative then it will continue to be unless 7 is added into -6. So, adding 3 to that would make it -3
The base rate for workers compensation insurance for roofers in one state is $16.95 per $100 paid to employees. The total monthly payroll for Certified Roofing Contractors is $15,738. What is the monthly premium for workers compensation insurance?
Answer:
3.3972 repeating dbbdeebebbbebe
Step-by-step explanation:
wvehhww3g33gg3g33vv3hh333h33hhh3
Answer:
C. not covered by workers' compensation and could recover damages from the employer.
Step-by-step explanation:
At a school concert the total value of tickets sold was $3888. Student tickets sold for $7 and adult tickets sold for $10. The number of adult tickets sold was 6 less than 4 times the number of student tickets. Find the number of student tickets sold.
Number of student tickets sold = 84
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
Let the number student tickets sold = x
Let the number adult tickets sold = y
7x+10y = 3888 -----------i
y = 4x-6 ----------------------ii
Substituting eq ii in i
7x + 10 ( 4x -6) = 3888
7x + 40x - 60 = 3888
47x = 3888+60
x = 3948 / 47
= 84
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A Question 2 (1 point) Retake question
Which variable expression represents the following word phrase?
four times the sum of five and a number, n
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Consider the provided phrase.
Four times the sum of five and a number
Let the number is n and the sum of five and a number can be written as:
[tex]n+5[/tex]
Thus, four times the sum of five and a number can be written as:
[tex]4(n+5)[/tex]
Hence, the required expression is [tex]4(n+5)[/tex].
What is phrase in math?
In mathematics, we may use a phrase to describe an expression. When we describe an expression in words that incorporates a variable, we are doing so by using an algebraic expression. An example of this may be the phrase "greater than" (an expression with a variable).
run the numbers. to conduct a rational analysis of an issue. You can do the math because I was the last person to depart yesterday night and the first person to arrive this morning, and since only the overweight security guy was present. on April 7, 2005, by Dave L. Flag.
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Betsy, a recent retiree, requires $5000 per year in extra income. She has $60000 to invest and can invest in B-rated bonds paying 13% per year or in a certificate of deposit (CD) paying 5% per year. How much money should be invested in each to realize exactly $5000 in interest per year?
Betsy needs to invest $32,000 in the B-rated bonds paying 13% interest and $28,000 in the certificate of deposit paying 3% interest.
Interest is calculated by multiplying the rate with the principal.
Let x = the amount Betsy will invest in the B-rated bonds paying 13% per annum. The remaining amount, $60,000-x , she will invest in the certificate of deposit paying 3% per annum.
We can express the earnings on these two investments, after converting the percentages to their decimal equivalents, as: 0.13x+0.03(60000-x) and this is to earn a total of $5,000
Now we can write the necessary equation to solve for x.
or, 0.13x+0.03(60000-x) = 5000
or, 0.13x+1800-0.03x = 5000
or, 0.1x+1800 = 5000
or, 0.1x = 3200
or, x = 32000
So Betsy needs to invest $32,000 in the B-rated bonds paying 13% interest and the remainder ($60,000-$32,000 = $28,000) in the certificate of deposit paying 3% interest to obtain $5,000 in interest per annum.
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When f(n)=32 what is the value of n
Answer:
32
Step-by-step explanation:
That is a weird question. Usually questions like that include a variable. Its like saying n = 32. It just gives the answer. Assuming you didn't miss anything, this is the answer.
A produce store sold 63 apples If the ratio of red apples to green apples sold was 7:2 What is the combinded amount of red and green apples sold?
Answer:
The total amount of apples sold is 63. There were 49 red apples and 14 green apples
Step-by-step explanation:
red: green : total
7 2 7+2
7 2 9
When we use the ratios, the total is 9
We are given the total is 63
63 divided by 9 is 7
We need to multiply each number by 7
red: green : total
7*7 2*7 9*7
49 14 63
The total amount of apples sold is 63. There were 49 red apples and 14 green apples
Answer:
the answer is red apples 49 and green apples 14.
A startup sports public relations company is looking to grow. They currently represent 1 client and plan on representing 2 additional clients each year. The following graph can be used to
help determine the number of clients, y, the company will have after x years.
Based on the context, what is the range of the function?
The range the number of clients, y, the company will have after x years of the function will be -∞ ≤ y ≤ ∞
What is Range and Domain ?The range of a function is the complete set of possible dependent variable values. While domain is the set of all possible independent values. We can substitute domain to get range.
From the given graph, the line of the equation of the graph is a linear. We can then say that y = - ∞, y = 1 and y = ∞
Y = 1 when x = 0
Therefore, the range of the function will be -∞ to +∞ That is,
-∞ ≤ y ≤ ∞
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Answer:
1,∞ is the answer
Step-by-step explanation:
as the first step in solving 3x-1=8, Stella multiplies by 1/3 on both sides. what advice would you give her about the procedure for solving equations
Answer:for solving equations your trying to get the x by itself so multiplying 1/3 on both sides doesn't eliminate 1 so that you can have 3x by itself
Step-by-step explanation:hope that helps
Point A is located at coordinates (-4, 3). What are the coordinates of each point? (You may draw on the image below)
Answer: Point B will be at (4,-3)
Point C will be (-2,-3)
Point D will be (6,3)
How many quarts of pure antifreeze must be added to 6 quarts of a 20% antifreeze solution to obtain a 60%
antifreeze solution? (Hint: pure antifreeze is 100% antifreeze.)
...
Answer:
6 quarts
Step-by-step explanation:
You want to know the number of quarts of 100% antifreeze to add to 6 quarts of 20% antifreeze to make a 60% solution.
SetupLet x represent the number of quarts of 100% antifreeze added to the solution. Then the total amount of antifreeze in the mixture is ...
20%(6) +100%(x) = 60%(6 +x)
SolutionSimplifying the equation, we have ...
1.2 +x = 3.6 +0.6x
0.4x = 2.4 . . . . . . . . . subtract 0.6x+1.2 from both sides
x = 6 . . . . . . . . . . divide by 0.4
6 quarts of pure antifreeze must be added.
