Answers
It can be equal to 28 (which is why the dot is filled in) and anything less than 28 (so the arrow points to lower numbers)
Related Questions
Which golfer had the lowest number of strokes per hole?
Answers
Match the vocabulary word to its correct definition
1. arithmetic sequence
an individual quantity or number in
a sequence
the fixed amount added on to get
2. common difference
to the next term in an arithmetic
sequence
a sequence in which a fixed
3. sequence
amount is added on to get the next term
a set of numbers that follow a
4 term
pattern, with a specific first number
Answers
Answer:
1. Term.
2. Common difference.
3. Arithmetic sequence.
4. Sequence.
Step-by-step explanation:
1. Term: an individual quantity or number in a sequence. For example, 1, 2, 3, 5, 6. The first term is 1 while 5 is the fourth term.
2. Common difference: the fixed amount added on to get to the next term in an arithmetic sequence. For example, 2, 4, 6, 8 have a common difference of 2 i.e (6 - 4 = 2).
3. Arithmetic sequence: a sequence in which a fixed amount such as two (2) is added on to get the next term. For example, 0, 2, 4, 6, 8, 10, 12.... is an arithmetic sequence.
4. Sequence: a set of numbers that follow a pattern, with a specific first number. For example, 1, 2, 3, 4, 5, 6 is a sequence.
a In a concert band, the probability that a member is in the brass section is
0.50. The probability that a member plays trombone, given that he or she is in
the brass section, is 0.24.
What is the probability that a randomly selected band member is in the brass
section and plays trombone?
A. 0.26
B. 0.74
C. 0.12
D. 0.48
Answers
Answer:
C. 0.12
Step-by-step explanation:
Let's use a sample number of 100
Out of 100 members, 50 are in the brass section
Out of those 50, 24% play the trombone. This means that 12 people total play the trombone.
12/100 is .12.. That is the final answer
Question 6 Which of the following is the graph of f(x) = x² = 5x + 4?
Answers
Given: The equation x² = 5x + 4
We have to draw the the graph for the given equation.
Consider the given equation,
x^2 - 5x - 4 = 0
The vertex of the parabola of the form f(x) = ax^2 + bx + c is given by x = -b/2a
Here,
a= 1
b= -5
c= -4
vertex = x = 5/2= 2.5
Also, the y coordinate at x = 2.5 is,
y = (2.5)^2 -5(2.5)-4
y = -10.25
Thus the vertex of parabola is (2.5 , -10.25)
y - intercept is the point where x = 0
put x = 0 in given equation
f(x) = 0 - 0 -4
f(x) = -4
hence y intercept is at (0, -4).
Now, we calculate x- intercept
x- intercept is where y is equal to 0.
Put f(x) = 0
We have,
x^2 - 5x - 4 = 0
by using quadratic formula,
x = -b ±√b² - 4ac/2a
x=5 ±√-5² - 4 (1)(-4)/2
x= 5±√41/2.
Hence with the obtained values the graph of the equation is obtained.
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Madeline is a salesperson who sells computers at an electronics store. She makes a base pay of $80 each day and then is paid a $20 commission for every computer sale she makes. Make a table of values and then write an equation for P, in terms of x, representing Madeline's total pay on a day on which she sells x computers.
I need the Equation.
Answers
Answer: y=80+2x
Step-by-step explanation:
In y=mx+b format the answer is y=80+2x
4x^2=x+3
Solve by factoring
Show your work please!
Answers
Answer:
x = - \(\frac{3}{4}\) , x = 1
Step-by-step explanation:
4x² = x + 3 ← subtract x + 3 from both sides
4x² - x - 3 = 0 ← in standard form
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 4 × - 3 = - 12 and sum = - 1
the factors are - 4 and + 3
use these factors to split the x- term
4x² - 4x + 3x - 3 = 0 ( factor the first/second and third/fourth terms )
4x(x - 1) + 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(4x + 3) = 0 ← in factored form
equate each factor to zero and solve for x
4x + 3 = 0 ( subtract 3 from each side )
4x = - 3 ( divide both sides by 4 )
x = - \(\frac{3}{4}\)
x - 1 = 0 ( add 1 to both sides )
x = 1
solutions are x = - \(\frac{3}{4}\) , x = 1
Petra has a second larger box that is 6 inches by 8 inches by 4 inches. How many times larger is the volume of this second box? The surface area?
Answers
Answer:
volume is 8 times larger and surface area is about 2.7 times larger
Step-by-step explanation:
a)24 in³ b) 76 in² c) volume is 8 times larger and surface area is about 2.7 times larger.
An invasive species has an initial population of 20 organisms. In five years it’s population has grown to 130. Assuming exponential growth, how many years will it take its population to reach 5,000?
Answers
The 15 years it will take its population to reach 5,000 if initial population of 20 organisms.
What is an exponential function?
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \(\rm y = a^x\)
where a is a constant and a>1
Let's assume the exponential growth is:
\(\rm y = Ae^{rt}\)
From the problem:
\(\rm 130 = 20e^{5r}\)
\(\rm e^{5r}= 6.5\)
Taking ln both side:
We get:
r = 0.374
\(\rm 5000 = 20e^{0.374t}\)
After solving, we get:
t = 14.76 ≈ 15 years
Thus, the 15 years it will take its population to reach 5,000 if initial population of 20 organisms.
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HELPPP!!! PLEASEEEEEEE
Answers
Answer:
Step-by-step explanation:
37
A verbal description of a linear function f is given. Express the function f in the form
f(x) = ax + b.
The linear function g has rate of change −16 and initial value 600.
Answers
The linear function g which has a rate of change of -16 and initial value 600 is; g = -16x + 600.
What is the linear function which is as described?It follows from the task content that the linear expression which is as described by the given verbal description is to be determined.
Since the standard slope-intercept form of a linear function is as given; f(x) = ax + b.
Where, a = slope (rate of change) and b = y-intercept (initial value).
Therefore, the required linear function which is as described is;
g = -16x + 600
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kelly made six batches of cookies and used 17 1/4 cups of sugar. she then made an extra batch and used 7/8 cup. how many cups of sugar did kelly use all together
Answers
Answer:
\(18\frac{1}{8}\)
Step-by-step explanation:
Make a common denominator of 8.
\(17\frac{1}{4} = 17\frac{2}{8}\)
Change the mixed number to an improper fraction.
\(17\frac{2}{8} = \frac{138}{8}\)
Add the numbers together
\(\frac{138}{8} + \frac{7}{8}\)
Figure out the answer in improper fractions.
\(\frac{138}{8} + \frac{7}{8} = \frac{145}{8}\)
Divide 145 by 8.
\(\frac{145}{8} = 18\frac{1}{8}\)
The answer is \(18\frac{1}{8}\).
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Which angle number represents SXU?
Answers
Answer:
Angle 2
Step-by-step explanation:
Find S and find X.
Then find U.
The angle at X connected to S and U is the angle number.
Given f(x) = (x-1)/ (x-4), find the following:a. critical points, b. intervals of increase/decrease, c. intervals of concavity,d. inflection points e. all asymptotes.
Answers
SOLUTION:
Given the function;
\(f(x)=\frac{x-1}{x-4}\)(a) Critical points are points where the function is defined and its derivative is zero or undefined.
ANSWER: The function has no critical points.
(b) Intervals of increase/decrease:
(c) Intervals of concavity:
\(\begin{gathered} Concave\text{ }Downward:-\infty(d) Inflection point is a point on the graph at which the second derivative is equal to zero or undefined and changes sign.There are no inflection points.
(e) Asymptotes:
\(\begin{gathered} Vertical:x=4 \\ \\ Horizontal:y=1 \end{gathered}\)
(-5)*8 using commutative property of multiplication
Answers
Using the commutative property for (-5) * 8, we can say that; (-5) * 8 = 8 * (-5)
What is Commutative Property of Algebra?The commutative property of algebraic multiplication states that changing the order of factors does not change the product. For example:
4 × 3 = 3 × 4
Similarly, 5 * 6 = 6 * 5
Now, we want to use commutative property to use (-5) * 8. Thus, we can say that; (-5) * 8 = 8 * (-5)
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Rapunzel sees a flying saucer. The radius of the flying saucer is 18 feet. What is the area of the flying saucer using 3.14 rounded to the nearest tenth
Answers
Answer:
\(1017.4ft^{2}\)
Step-by-step explanation:
Area of a circle = \(\pi r^{2}\)
However, the question wants to use 3.14 instead of \(\pi\).
Since the radius is given, which is 18 feet, we can plug and chug.
\(A = 3.14*(18ft)^{2} \\A = 3.14*324ft^{2}\\A = 1017.36ft^{2}\)
However, the question wants us to round it to the nearest tenth.
Therefore, the answer is \(1017.4ft^{2}\)
A teacher's creating an assignment with 70 points the assignment will consist of questions worth one point in questions worth 3 points which equation represents a situation where X represents the number of 1 point questions and why represents the number of 3 point questions
Answers
This question has a total of 70 points, so we can work out the equation.
1X + 3Y = 70
The variables are:
X = number of 1-point problems
Y = number of 3-point problems
What is equation?An equation is a mathematical expression that uses symbols, such as numbers and variables, to represent a relationship between two or more values or quantities. Equations are used to describe physical laws, solve problems and to make predictions. Equations are fundamental to all areas of mathematics and science, and their use is essential for understanding and exploring the natural world.
This equation represents a situation where X represents the number of 1 point questions and Y represents the number of 3 point questions in an assignment with a total of 70 points. This equation states that the sum of the number of 1 point questions (X) and the number of 3 point questions (3Y) must equal 70. Therefore, if the assignment has 70 points, X + 3Y must equal 70.
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need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 380 minutes, the monthly cost will be $173. If the customer uses 570 minutes, the monthly cost will be $249.
A) Find an equation in the form
y
=
m
x
+
b
,
where
x
is the number of monthly minutes used and
y
is the total monthly cost of the Splint plan.
Answer:
y
=
B) Use your equation to find the total monthly cost if 942 minutes are used.
Answer: If 942 minutes are used, the total cost will be
dollars.
Answers
The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
What is an equation?The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.
Part A:
Given:
customer uses 380 minutes, the monthly cost will be $173.customer uses 570 minutes, the monthly cost will be $249.To find an equation,
Where x is number of monthly minutes.
and y is total monthly of splint plan.
So, equation is:
\(\rightarrow \text{y} =\text{mx} +\text{b}\)
For the first case:
\(\rightarrow\bold{173 = 380x + b}\)
Second case:
\(\rightarrow\bold{249= 570x + b}\)
Solve for x:
\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)
\(\rightarrow{-207=-321\)
\(\rightarrow \text{x} =\dfrac{321}{207}\)
\(\rightarrow \text{x} =\dfrac{107}{69}\)
\(\rightarrow \text{x} \thickapprox1.55\)
For value of b
\(\rightarrow 173 = 380(1.55) + \text{b}\)
\(\rightarrow 173 - 589 = \text{b}\)
\(\rightarrow -416 = \text{b}\)
Part B:
\(\rightarrow \text{y} = 942(1.55) - 416\)
\(\rightarrow \text{y} = 1460.1 - 416\)
\(\rightarrow \text{y} \thickapprox1044\)
Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
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The average fourth grader is about three times as tall as the average newborn baby. If babies are on average 45cm 7mm when they are born, What is the height of the average fourth grader?
Answers
The height of the average fourth grader is 137cm 1mm. This height can be determined by multiplying 3 by the average height of a newborn baby.
Given information,
The average height of babies = 45 cm 7mm
45 cm 7 mm is equivalent to 45.7 cm (since there are 10 millimeters in a centimeter).
Let the height of a fourth grader be x.
According to the question,
The height of a fourth grader (x) = 3 × the average height of a newborn baby
The height of a fourth grader (x) = 3 × 45.7
The height of a fourth grader (x)= 137.1 = 137cm 1mm
Therefore, the height of a fourth grader is 137cm 1mm.
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Tahir is twice as old as Faheem now. In 5 years, Faheem will be 10 years old. What is Tahir's age now? 15 25 10 20
Answers
Answer:
10
Step-by-step explanation:
10-5= 5
5*2=10
tahir is 10
what is (9x+8)^2-54x+48y
Answers
Answer:
81x² + 90x + 48y + 64
Step-by-step explanation:
(9x+8)² = (9x+8)(9x+8) = 9x*9x + 9x*8 + 8*9x + 8*8 = 81x² + 72x + 72x + 64
= 81x² + 144x + 64
then:
(9x+8)² -54x+48y = (81x² + 144x + 64) -54x + 48y = 81x² + 90x + 48y + 64
Proportionality yes or no - show work
X y
____ ____
6 -2
7 -1
8 0
9 1
Answers
No, the relationship on the table is not proportional
How to determine if the relationship is proportionalFrom the question, we have the following parameters that can be used in our computation:
x y
____ ____
6 -2
7 -1
8 0
9 1
On the table of values, we can see that:
The values of x increase by 1 i.e. 6, then 7, then 8 and finally 9 As these values of x increase by 1, the values of y increase by 1 also i.e. -2, then -1, then 0 and finally 1Using the above as a guide, we have the following:
The relationship is not a proportional relationship
This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)
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6x^2=-3x+1 to the nearest hundredth
Answers
The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
6x² = -3x + 1
To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:
6x² + 3x - 1 = 0
Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:
\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\)
Here; a = 6, b = 3, and c = -1.
Let's substitute these values into the quadratic formula:
\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)
Therefore, the values of x are -0.73 and 0.23.
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1
Given: - 2 x > 6.
Choose the solution set.
O{x|xER, x>-12}
{x|xER, x>-3}
{x|xER,x<-3}
(xxER, x < -12}
Answers
Answer:
x< -12
Step-by-step explanation:
-1/2x>6
x-2. x-2
x>-12
Since we multiply by we negative we flip the sign
x< -12
Hopes this helps
Amanda bought 5 candles for $6 each, 4 lotions for $5 each, and 10 face masks for 3$ each. Write an expression to find the total amount Amanda spent.
please help it is due in 10 min
Answers
Answer:
$77 spent in all
Step-by-step explanation:
Write the fraction
as a division
problem, and solve
for the quotient.
7/4
Answers
The solution to the quotient is 1 3/4
How to determine the solution to the quotientFrom the question, we have the following parameters that can be used in our computation:
7/4
To write the fraction 7/4 as a division problem, we can divide 7 by 4:
7 ÷ 4
To solve this division problem, we can perform the division operation:
7 ÷ 4 = 1 remainder 3
So the quotient of the division of 7 by 4 is 1 with a remainder of 3,
This can also be expressed as
7/4 = 1 3/4
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Please respond to the question
Answers
The shortest distance between point P and Q is 9.4.
What is the shortest distance between point P and Q?The distance formula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Given the data in the question;
Point P (-4,-2)
x₁ = -4
y₁ = -2
Point Q ( 4,3)
x₂ = 4y₂ = 3Plug the given values into the distance formula and simplify.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
D = √( ( 4 - (-4) )² + ( 3 - (-2) )² )
D = √( ( 4 + 4 )² + ( 3 + 2 )² )
D = √( 8² + 5² )
D = √( 64 + 25 )
D = √89
D = 9.4
Therefore, the distance is 9.4.
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The formula for calculating the density of an object is D=-, where m is mass and v is volume.
m
Rewrite the formula in terms of m. Then rewrite the formula in terms of v.
Answers
Answer:
M= D x V, V= M x D
Step-by-step explanation:
You just do the opposite of division since the original is:
Density= Mass/ Volume
Solve by completing the square.
j² + 14j + 5 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals
rounded to the nearest hundredth.
Submit
or j =
=
Answers
Answer:
\(j = 7 \pm \sqrt{44}\)
Step-by-step explanation:
First, move the constant term to the other side of the equation.
\(j\² + 14j + 5 = 0\)
\(j\² + 14j = -5\)
Next, add the coefficient of the first degree j term divided by 2, then squared to both sides.
\(j^2 + 14j + (14/2)^2 = -5 + (14/2)^2\)
\(j^2 + 14j + (7)^2 = -5 + (7)^2\)
\(j^2 + 14j + 49 = -5 + 49\)
\(j^2 + 14j + 49 = 44\)
Now, we can factor the left side as a square.
\((j+7)(j+7) = 44\)
\((j+7)^2 = 44\)
Finally, we can take the square root of both sides to solve for j.
\(\sqrt{(j+7)^2} = \sqrt{44\)
\(j+7=\pm\sqrt{44}\)
\(\boxed{j = 7 \pm \sqrt{44}}\)
Note that there are two solutions, as \(\sqrt{44\) could be positive OR negative because of the even root property:
if \(x^2 = a^2\),
then \(x = \pm a\)
because both \((+a)^2\) and \((-a)^2\) equal \(a^2\).
What is a notation? What is the definition?