The two fractions which give the product of 5/6 are 1/3 and 5/2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the fraction is 5 / 6. The two fractions will be calculated as,
5 / 6 = ( 1 / 3) x ( 5 / 2)
The product of the two fractions is,
( 1 / 3) x ( 5 / 2) = 5 / 6
Therefore, the two fractions which give the product of 5/6 are 1/3 and 5/2.
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Base of an isosceles triangle can be right angles
We can actually deduce here that the statement, "base of an isosceles triangle can be right angles" is false.
What is an isosceles triangle?An isosceles triangle is actually known to be a triangle which has two sides equal and opposite angles of the sides also equal. In other words, an isosceles triangle must have at least two equal triangles.
Some of the properties of an isosceles triangle are:
It is a triangle whose two sides are congruent to each otherIt has a third side known as the base of the isosceles triangle.It has angles that are opposite to the equal sides which are congruent to each other.We see here that the base of an isosceles triangle cannot be a right angles. It is still to have one side as a right angle but not the two sides as right angles.
The complete question is:
True or false: Base angles of an isosceles triangle can be right angles.
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X
-3
-2
0
2
g(x)=x³+6x² + 12x+8
3
g(x)
-1
0
8
64
125
Determine the function's value when x=-1.
Og(-1)=-3
O g(-1)=0
O g(-1)=1
O g(-1)=27
The function g(-1) has its value to be (c) g(-1) = 1
How to evaluate the function at the input value?The definition of the function is given as
g(x)=x³+6x² + 12x+8
Rewrite the above function properly
So, we have the following representation
g(x) = x³ + 6x² + 12x + 8
To find the function g(-1), we set the value of x in the equation g(x) = x³ + 6x² + 12x + 8 to -1
This is represented by
Calculate g(x), when x = -1
Substitute -1 for x in the equation g(x) = x³ + 6x² + 12x + 8
So, we have the following equation
g(-1) = (-1)³ + 6(-1)² + 12(-1) + 8
Evaluate the exponents
This gives
g(-1) = -1 + 6(1) + 12(-1) + 8
Evaluate the products
This gives
g(-1) = -1 + 6 - 12 + 8
Evaluate the sum
g(-1) = 1
Hence, the value of the function is g(-1) = 1
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On the interstate there is a ratio of 2 trucks to 4 cars to 3 SUVs, if there are a total of 1800 vehicles on the road, how many of each type of vehicle is on the road?
Answer:
Step-by-step explanation:
yes Saab do
The temperature over the course of a day was being monitored. In the morning, the temperature was −3°F. In the middle of the day, the temperature rose to 12°F. After dark, the temperature dropped again to −6°F. What was the average temperature for the day?
A. −3°F
B. −1°F
C .1°F
D. 3°F
70 points need help asap
The angle ∠C is 130° by the alternative angles.
Given that,
In the figure we have a diagram.
We have to find the angle c.
The angles created on the opposing side of the transversal with regard to both straight lines when two straight lines are cut by it are referred to as alternative angles. Therefore, the angles that are on the opposing sides of the transversal and have distinct vertices are those.
We know that,
By alternative angles
∠M=∠C
So,
130°=∠C
Therefore, The angle ∠C is 130° by the alternative angles.
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Graph this system of equations on the coordinate plane:
y=4/3x+4
3y=-2x-6
The graph the system of linear equations on a coordinate plane is added as an attachment
How to graph the system of linear equations on a coordinate plane?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
y=4/3x+4
3y=-2x-6
Rewrite the equations in the system of equations as follows:
So, we have the following representation
y = 4/3x + 4
3y = -2x - 6
Next, we plot the graph of the system of equations
In this case, the point of intersection of the equations represent the solution to the system
From the graph, the lines intersect at (-3, 0)
This means that the solution to the system of equations is (-3, 0)
See attachment for the graph of the system of equations
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PLEASE HELP ASAP!!! Determine if the sequence is arithmetic. If it is, what is the common difference?
36, 33, 30, 27, ...
Thank you!
Answer:
Yes it is
Step-by-step explanation:
Every new number is 3 less than the last number
n-3
Answer:
Yes, -3
Step-by-step explanation:
An arithmetic sequence is when the numbers in the sequence are subtracted or added by the same value everytime to get the next number. (NOT multiplied or divided, if it's that then it's a geometric sequence)
from 36 to 33, we can see the change is -3
from 33 to 30, it's also -3
from 30 to 37, it's also -3
The common difference is the difference between the two consecutive terms in the sequence, which is -3
Since it's subtracting or adding by the same value everytime to obtain the next value, this sequence is an arithmetic sequence, and the common difference is -3
Lines AB and CD are straight lines. Find x and y .
⇒ ∠AOC+∠AOE+∠EOD=180°(angles on a straight line are supplementary)
16°+90°+2y=180°
[tex]106+2y=180\\2y=180-106\\2y=74\\\frac{2y}{2} =\frac{74}{2} \\y=37[/tex]
∴y=37°
∠AOC+∠COF∠BOF=180°(angles on a straight line are supplementary)
16°+90°+4x=180
[tex]106+4x=180\\4x=180-106\\4x=74\\\frac{4x}{4} =\frac{74}{4} \\x=18.5[/tex]
∴x=18.5°
Find the geometric mean between ab³ and a³b?
[tex]{ \green{ \sf{G = \sqrt{ ab}}}}[/tex]
[tex]{ \green{ \sf{G = \sqrt{ (ab³)(a³b)}}}}[/tex]
[tex]{ \green{ \sf{G = \sqrt{ a⁴b⁴}}}}[/tex]
[tex]{ \red{ \boxed{ \pink{ \sf{G = \sqrt{ a².b²}}}}}}[/tex]
help meeeeeeeeeeeeeee pleaseee
The following are features of the parabola shown in the diagram:
Vertex: (2, -1)
Axis of symmetry: x = 2
The parabola opens downward.
What is the Vertex of a Parabola?The vertex of a graph is the coordinates of the point where the tip of the parabola lies at.
What is the Axis of Symmetry of a Parabola?
The axis of symmetry of a parabola passes through the vertex and is it expressed as the x-coordinate of the vertex of the parabola.
The tip of the parabola shown in the image above is at (2, -1), and the parabola as can be seen opens downward.
Therefore:
The vertex of the parabola is (2, -1)
The axis of symmetry would be expressed as x = 2. The parabola opens downward as well.
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Here is a parallelogram.
Work out the value of x.
x cm
Area = 12 cm²
2.5 cm
The value of x for the given parallelogram is 4.8 cm.
According to the question,
We have the following information:
We have a parallelogram with base x cm, height 2.5 cm and area 12 square centimeters.
(More to know: in a parallelogram, the opposite sides are equal and parallel to each other. Opposite angles of parallelogram are equal and the sum of consecutive angles is 180°.)
We know that the following formula is used to find the area of the parallelogram:
Area of parallelogram = Base*height
x*2.5 = 12
x = 12/2.5
x = 4.8 cm
Hence, the value of x is 4.8 cm.
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Matteo buys a basil plant that is 22 cm tall and grows 1/2 a centimeter every day.
A. Write an equation that can be used to solve for the number of days until the plant has a height of 30 cm. Use d to represent the number of days. Label each part of your equation with what it represents.
B. How much does the plant still have to grow?
C. Solve for the value of d. What does this value represen in this problem?
PLEASE SOLVE ALL
The equation 22+(d-1)0.5 = 30 may be used to determine how many days it will take the plant to reach a height of 30 cm. The value of d is 17, and it stands for the number of days.
What is an arithmetic sequence?There are two definitions for an arithmetic sequence. It is a series where the differences between every two succeeding terms are identical or each term in an arithmetic sequence is formed by adding a fixed number (positive, negative, or zero) to its preceding term.
The following details are available to us:
A 22 cm tall basil plant that is gaining half a centimeter daily was purchased by Matteo.
We now have the arithmetic progression shown below with the common difference, indicated by the letter d:
22, 22.5, 23, 23.5, ...
The formula for calculating the nth term:
When an is the first term, a(n) = a+(n-1)d.
A) 22+(d-1)0.5 = 30
B) The plant still needs to develop 8 cm, as there is a difference of 8 cm between 30 and 22.
C) D's value:
22+(d-1)0.5 = 30
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3x + 4y = 7
2x - y = 12
please help?
Answer:
x=5
y=-2
Step-by-step explanation:
even though this looks like they want you to do it elimination ima do substation cause I like that better
2x-y=12
+y. +y
2x=12+y
-12 -12
2x-12=y
Now we can fill in y
3x+4(2x-12)=7
3x+8x-48=7
11x-48=7
+48. +48
11x=55
/11. /11
x=5
fill in X to find y
2(5)-y=12
10-y=12
-10. -10
-y=2
y=-2
hopes this helps please mark brainliest
question 4: a school group went to a carnival on a field trip. the function c(x) represents the amount of money spent in dollars, where x is the number of students. does a possible solution of (29.5, $212.50) make sense for this function? explain your answer.
Step-by-step explanation:
only limited sense.
first of all, directly it does not make any sense. we can only send integer number of students on a field trip. not half-persons.
therefore, 29.5 students for a single field trip calculation does not make sense.
but : we could want to use the same function to calculate or analyze the costs of multiple field trips by using things like mean values of students participating. there fractions as student numbers make sense.
a marathon is a 26.2-mile race that commemorates the run made by a greek soldier, pheidippides, that took place in 490 bce. how many kilometers did he run? (note: 1 mi
He ran 42.1 kilometers.
Define conversion.A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. For instance, 12 inches equals one foot when converting between inches and feet. The act or process of transforming something into a different condition or form is known as conversion. to convert a value or expression between two different forms. • Measurement: converting between different units, for as from inches to millimeters or liters to gallons. For instance, change 12 inches to millimeters. 304.8 millimeters are equal to 12 inches multiplied by the inch-to-millimeter ratio of 25.4.
Given,
A marathon is a 26.2-mile race that commemorates the run made by a greek soldier, pheidippides, that took place in 490 bce.
1 mile = 1.609
Converting miles into kilometer:
26.2 miles
= 26.2 × 1.609
= 42.1
He ran 42.1 kilometers.
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in a particular chi-square goodness-of-fit test, there are eight categories and 825 observations. use the 0.10 significance level. a. how many degrees of freedom are there?
By probability , 7 is degrees of freedom are there .
Describe probability using an example?
By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained. The most basic illustration is a coin toss. There are only two outcomes that can occur when you flip a coin: either heads or tails.It is predicated on the likelihood that something will occur. The theory of probability primarily relies on the justification for probability. A coin is tossed, for instance, and the theoretical likelihood of getting a head is 1 in 2.825 Observations and 8 categories .
Degree of freedom = k - 1
df = 8 - 1
df = 7
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A container with 3½ liters of weed killer can spray of a lawn. How many liters would it
take to spray 1 entire lawn?
The amount a container would take to spray 1 entire lawn is 7 litres.
Given that a container with 3½ liters of weed killer can spray 1/2 of a lawn.
We want to find the amount of liters to take a spray 1 entire lawn.
3½ liters of weed killer can spray 1/2,
liters take to spray 1 lawn is 3½/1/2=7 liters
Hence, the amount of liters it would take to spray 1 entire lawn when a container with 3½ liters of weed killer can spray of a lawn is 7 liters.
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Camilla borrows a book from the library for dd days. The library charges a late fee of 0. 10 dollars per day that the book is late. If Camilla returns the book more than 21 days after she borrowed it, the expression 0. 10(d-21) represents the total late fee Camilla owes
The expression represents the amount of total money. Then the total late fee Camilla owes will be $2.1.
What is Algebra?
Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
Camilla borrows a book from the library for d days.
The library charges a late fee 0.10 dollars per day that the book is late.
If Camilla returns the book more than 21 days after she borrowed it.
Then the expression will be 0.10d.
The total amount is given as
Total amount = 0.10 d
Total amount = 0.10 x 21
Total amount = $2.1
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Solve the equation for w.
4w + 2 + 0.6w = −3.4w − 6
No solution
w = 0
w = 1
w = −1
Please help
Answer:
The answer is w= -1
Step-by-step explanation:
4w + 2 + 0.6w = -3.4w - 6
4.6w + 2 = -3.4w - 6
8w + 2 = -6
8w = -8
w = -1
Latisha wants to buy pumpkins and autumn squash for a fall display. She has a budget of $117 but wants to buy more than 10 vegetables. The pumpkins are $5. 59 each. The squash are $3. 50 each. List THREE possible combinations of pumpkins and squash that latisha can purchase to represent the situation
(x,y) = (8,20), (6,24), and (10,17).are three alternative combinations of pumpkins and squash that Latisha may buy to depict the circumstance.
Latisha's total wealth is $17.
More than 10 veggies are the number of vegetables that Latisha wants to purchase.
A pumpkin costs $5.50.
An autumn squash costs $3.50.
Let n pumpkins purchased equal x.
Purchased number of autumn squash = y
There are three alternative squash and pumpkin combination that Latisha might buy to symbolize the circumstance.
With x acting as the independent variable, we may identify many y's.
x ( Pumpkin) y(Autumn squash) (integral value)
8 20
6 24
10 17
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assume that blood pressure readings are normally distributed with and a blood pressure reading of 145 or more may require medical attention. what percent of people have a blood pressure reading greater than 145?
0.08891% percent of people have a blood pressure reading greater than 145.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
145) = (145-120)/8 = 25/8.P(x > 145) = P(z > 27/8) = 0.0008891.. = 0.08891%Hence, 0.08891% percent of people have a blood pressure reading greater than 145.
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Diana works at a clothing store. She sold 1/5 of the total number of green shirts on Monday and 3/12 of the total number of green shirts on Tuesday. What fraction of green shirts did Diana sell on Monday and Tuesday? 27/60 is the answer. Diana sold 2/15 of the total number of green shirts on Wednesday. What is the difference in the fraction of the total number of green shirts that were sold on Tuesday and Wednesday?
Answer:
your answer is [tex]27/60[/tex] and [tex]7/60[/tex]
In the diagram below, \angle C\cong\angle F∠C≅∠F, \angle D\cong\angle G∠D≅∠G. Enter segments in the blanks provided that would result in a true equation.
The sides of similar triangles are proportional, therefore, the true equation would be: FG/CD = EG/BD.
What are Proportional Lengths of Similar Triangles?Two similar triangles have corresponding angle measures that are congruent to each other, but have corresponding side lengths that are proportional to each other.
Similar triangles have the same shape but their sizes are different.
Given that angles C and F are congruent, and angles D and G are congruent, therefore triangle BCD is similar to triangle EFG based on the AA similarity theorem.
Therefore, the corresponding side lengths of both triangles will be proportional, which means that the following equation would be true:
FG/CD = EG/BD
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The temperature dropped to 24 degrees in 8 days. what was the average daily change in temperature? a) 3 degrees b) -8 degrees c) -3 degrees d) 16 degrees
The average daily change in temperature will be 3 degrees The temperature dropped to 24 degrees in 8 days
Since we know an average could be a single number taken as an agent of a list of numbers, as a rule, the whole of the numbers divided by how numerous numbers are within the list. We are said the temperature dropped to 24 degrees in the 8 days
So the average of it will be =24 /8 = 3, which means the temperature needed to drop for at least 3 degrees in order to get the sum of 28 in 8 days.
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Anna received a gift of $5,000 from her grandmother and decided to invest it. The expression 5000(1.0005)^12t represents the amount of money Anna is earning on her investment. Select all of the following that are equivalent expressions so that Anna can better understand how her money is invested.
a) 5000(1.0005^12)^t
b) 5025^12t
c) 5000(1+0.0005)^12t
d) 5000(1.0005^t)^12
e) (5000+2.5)^12t
f) 5000(1+0.06/12)^12t
The equivalent expression that represents the amount Anna can better understand how her money is invested is 5000(1+0.0005)^12t.
The correct answer option is option c.
What is the equivalent expression of Anna's investment?Based on the expression given, Anna's investment is compounded monthly.
The formula for calculating future value:
FV = P (1 + r)^(nm)
Where,
FV = Future valueP = Present valueR = interest ratem = number of compoundingn = number of years5000(1.0005)^12t
Given options:
a) 5000(1.0005^12)^t
False
b) 5025^12t
False
c) 5000(1+0.0005)^12t
= 5,000(1.0005)^12t
True
d) 5000(1.0005^t)^12
False
e) (5000+2.5)^12t
False
f) 5000(1+0.06/12)^12t
= 5000(1 + 0.005)^12t
= 5000(1.005)^12t
False
In conclusion, the expression equivalent to Anna's investment is 5000(1+0.0005)^12t
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A rectangular book measures 3*5. What is the length of its diagonal to the nearest tenth?
The length of the diagonal for the given rectangular book using Pythagoras' theorem will be 5.8.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
Area of rectangle = length × width.
The angle between any two consecutive sides will be 90 degrees.
As per the given rectangle with dimensions 3 × 5.
The rectangle has been attached below,
The length of the diagonal using Pythagoras' theorem is,
x = √(3² + 5²)
x = √34 = 5.8
Hence "The length of the diagonal for the given rectangular book using Pythagoras' theorem will be 5.8".
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Please Help! What is the ratio of a:b?
a+3b/5 = a-2b/2
The ratio of a : b in the given expression is 16:3 .
In the question ,
it is given that
the algebraic expression is (a+3b)/5 = (a-2b)/2
we have to find the ratio of a:b ,
in order to find the ratio,
we cross multiplying ,
On cross multiplying , we get
2 * (a+3b) = 5 * (a-2b)
2a + 6b = 5a - 10b
5a - 2a = 10b + 6b
3a = 16b
dividing both sides by b ,
a/b = 16/3
a:b = 16:3
Therefore , The ratio of a : b in the given expression is 16:3 .
The given question is incomplete , the complete question is
What is the ratio of a:b in the expression (a+3b)/5 = (a-2b)/2 ?
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Part of the graph of a quadratic function is graphed below. Between which two integers will the graph again cross the x-axis?
From the coefficients of the quadratic equation and the vertex of the parabola, it was found that the graph again crosses the x-axis in x=7.
Quadratic Function
The standard form for a quadratic equation is ax²+ bx + c=0, where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
For solving the quadratic function, you should find the discriminant: Δ=b²-4ac and then use this variable in the formula: [tex]\frac{-b \pm \sqrt{\Delta} }{2a}[/tex] .
The given equation is a quadratic function because have a degree equal to 2. Therefore, the graph is represented by a parabola. The vertex of the parabola is given by the coordinates(xv= -b/2a, yv= -Δ/4a).
From the given figure, it is possible to see that:
the graph crosses the x-axis in x= -1 the graph crosses the y-axis in y=2. xv=3 and yv=7For x= -1, you have y=0, then:
ax²+bx+c=0 -> x=-1
a (-1)²-b+c=0
a*1-b+c=0
a-b+c=0 (1)
For y= 2, you have x=0, then:
ax²+bx+c=0
a*0²+b*0+c=2
0+0+c=2
c=2 (2)
As, a-b+c=0 (1) and c=2 (2), you have:
a-b+c=0
a-b+2=0
a-b=-2 (3)
Now, you should use the information about the xv.
[tex]x_v=\frac{-b}{2a} =3[/tex]
-b=6a
b=-6a
From equation 3, you will find the coefficient a .
a-b=-2 (3)
a-(-6a)= -2
a +6a =-2
7a= -2
a=-2/7
If a= -2/7, from equation 3 you can find the coefficient b.
b=-6a = -6* (-2/7)=12/7
Thus, the quadratic equation of the plot is: ax²+bx+c
[tex]f(x)=-\frac{2}{7}\cdot \:x^2+\frac{12}{7}\cdot \:x+2[/tex]
Now, you should find the roots for the found equation :[tex]f(x)=-\frac{2}{7}\cdot \:x^2+\frac{12}{7}\cdot \:x+2[/tex].
[tex]x_{1,\:2}=\frac{-12\pm \sqrt{12^2-4\left(-2\right)\cdot \:14}}{2\left(-2\right)}[/tex]
[tex]x_1=\frac{-12+16}{2\left(-2\right)}=-1,\:x_2=\frac{-12-16}{2\left(-2\right)}=7[/tex]
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If p is portional to q and p =4.5 when q= 12 .
Find the relationship between p and q
P when q =16
Q when p= 2.4
The relationship between variables p and q is given by p = kq. Also, the value of the variable p when q = 16 is 6 and when p = 2.4, the variable q is 6.4.
How to determine the proportional relationship?Mathematically, a proportional relationship can be represented with the following mathematical expression:
p = kq
Where:
p and q are the variables.k represents the constant of proportionality.Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = p/q
Constant of proportionality (k) = 4.5/12
Constant of proportionality (k) = 0.375.
When q = 16, the variable p is given by:
p = kq
p = 0.375 × 16
p = 6.
When p = 2.4, the variable q is given by:
q = p/k
q = 2.4/0.375
q = 6.4
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“Find the requested information based on the given facts.
Total sales is $55,000
The commission is 3.5%
Determine the commission.”
Can someone please help?
Answer:
$1925
Step-by-step explanation:
So your problem is $55,000 x 3.5%
You can rewrite this as:
55,000 x 3.5/100 or 55,000 x 35/1000
Now multiply. I will remove the /1000 for now.
55,000x35=1925000
Now, divide 1925000 by 1000.
1925/1000=$1,925
