Perform the indicated operation
7 1/8 ∙ 5 2/3
Answers
35 1/12
Step-by-step explanation:
Related Questions
The graph of line I is shown below. Which of the following represents the slope of a line parallel to line P
Answers
Answer:
C) -1/3
Step-by-step explanation:
Slope=rise/run
Slope=-1/3
Please help if you can, this is due tomorrow.
In the diagram below, $\angle BAC=24^\circ$ and $AB=AC$.
If $\angle ABC=y^\circ$, what is the value of $y$?
[asy]
size(4.25cm);
pair a=(0,cos(pi/15)); pair b=(-sin(pi/15),0); pair c=-b; pair d=c+(1,0);
dot(a); dot(b); dot(c);
draw(c--a--b--c);
draw((2*a+3*b)/5-0.05*(cos(pi/15),-sin(pi/15))--(2*a+3*b)/5+0.05*(cos(pi/15),-sin(pi/15)));
draw((2*a+3*c)/5-0.05*(cos(pi/15),sin(pi/15))--(2*a+3*c)/5+0.05*(cos(pi/15),sin(pi/15)));
label(scale(0.75)*"$24^\circ$",a-(0,0.3),S);
label("$A$",a,N);
label("$B$",b,SSW);
label("$C$",c,S);
label(scale(0.85)*"$y^\circ$",b,NE);
[/asy]
Answers
The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.
What is equation?Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.
From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.
This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.
In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.
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Answer:
78
Step-by-step explanation:
Part of the graph of the function f(x) = (x – 1)(x + 7) is shown below.
Which statements about the function are true? Select three options.
The vertex of the function is at (–4,–15).
The vertex of the function is at (–3,–16).
The graph is increasing on the interval x > –3.
The graph is positive only on the intervals where x < –7 and where
x > 1.
The graph is negative on the interval x < –4.
Answers
Answer:
The vertex of the function is at (–3,–16)
The graph is increasing on the interval x > –3
The graph is positive only on the intervals where x < –7 and where
x > 1.
Step-by-step explanation:
The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:
\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)
So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval
why do we have to do math
Answers
Answer:
...
Step-by-step explanation:
I love math. It's not that bad, but I understand why some would struggle with it.
The importance of mathematics is not only crucial for scientists or engineers, but it helps develop skills, such as analyzing data, seeking evidence, recognizing patterns every day. It gives a chance to people have a better way of understanding or interpreting information.
Answer:
good question, I feel like we shouldn't have to do math because some of us wont need it when we grow up and get jobs. You dont need to know math to pass and get drafted. You have to be good at what you want to be. Lets say you wanted to be a lawyer, you dont need to know math. So I really do not understand why we have to do math because I feel like it should be optional depending on what we want to do in the future
Step-by-step explanation:
What is the y intercept
Answers
Answer:
1
Step-by-step explanation:
b= y intercept
Gianna drives 5 miles in 10 minutes. If she drove three hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Gianna drive in total?
Answers
Gianna is 90 miles far away in 3 hours of driving.
She drove in total of 180 minutes.
What is speed?The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.
Given,
Gianna drives 5 miles in 10 minutes
Speed per minute = 5/10 = 0.5 miles/minute
Gianna drove in total for 3 hours
1 hour = 60 minutes
3 hours = 60 × 3 = 180 minutes
Distance Gianna drove in 180 minutes = speed per minute × time
= 0.5 × 180
= 90 miles
Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.
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Daniel's father worries that his son is not a motivated student, especially after observing his study habits for a week.
Which behavior most likely caused Daniel's father to worry?
Daniel started his homework immediately after he got home from school.
Daniel delayed his free time until his homework was completed.
Daniel breezed quickly through his homework without correcting his mistakes.
Daniel kept revising his English composition until he was satisfied with it.what is the answer i keep getting it wrong, a,b,c,d
Answers
Part Two!
Angela worked on a straight 11%
commission. Her friend worked on a salary of $950
plus a 7%
commission. In a particular month, they both sold $23,800
worth of merchandise.
Step 2 of 2 : How much did her friend earn for the same month? Follow the problem-solving process and round your answer to the nearest cent, if necessary.
Answers
Angela's friend earned a salary of $950 plus a commission of $1,599.50 for a total earnings of $2,549.50 in the month they both sold $23,800 worth of merchandise.
To find out how much Angela's friend earned in the same month, we need to first calculate their commission earnings.
Angela's commission earnings can be found by multiplying the total sales by her commission rate of 11%:
Commission earnings = $23,800 x 0.11 = $2,618
Now, let's calculate her friend's commission earnings. First, we need to subtract the salary from the total sales:
Total sales - Salary = Commissionable sales
$23,800 - $950 = $22,850
Next, we can calculate the commission earnings by multiplying the commissionable sales by the commission rate of 7%:
Commission earnings = $22,850 x 0.07 = $1,599.50
Adding the commission earnings to the salary gives us the total earnings for the month:
Total earnings = $950 + $1,599.50 = $2,549.50
Therefore, Angela's friend earned $2,549.50 for the same month.
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Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
Answers
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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Plot points between and beyond the x-intercepts and the vertical asymptote. Evaluate the function at -7, -6, -1, and 8.112X-72x+x-20f(x)=x-5(Simplify your answers.)-60112180
Answers
Replace each x value and solve.
x = -7
\(\frac{x^{^2}+x-20}{x-5}=\frac{(-7)^{^2}+(-7)\text{ -20}}{-7-5}=\frac{49-27}{-12}=\frac{22}{-12}=-11/6\)x= -6
\(\frac{(-6)^2+(-6)-20}{-6-5}=\frac{36-26}{-11}=-10/11\)x= -1
\(\frac{(-1)^{^2}+\text{ \lparen-1\rparen - 20}}{-1-5}=\frac{1-1-20}{-6}=\frac{-20}{-6}=10/3\)x=11/2
\(\frac{(11/2)^{^2}+(11/2)-20}{11/2\text{ -5}}=\frac{121/4+11/2-20}{1/2}=\frac{63/4}{1/2}=63/2\)x=8
\(\frac{(8)^{^2}+8-20}{8-5}=\frac{64+8-20}{3}=\frac{52}{3}\)9. A has some amount of money with him. He gave one half of one third from that amount One half of the amount received by B is 20. What is the amount that A originally had?
Answers
Using the expression 5x/12 = 20, the amount that A originally had was $48.
We have,
Let x be the amount of money that A originally had.
Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.
The amount received by B is 1/2 of the remaining amount,
which is (x - x/6)/2 = 5x/12.
We know that 5x/12 = 20,
Solving for x.
5x/12 = 20
5x = 240
x = 48
Therefore,
The amount that A originally had was $48.
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let $n$ be the number of ordered triples $(a,b,c)$ of integers satisfying the conditions (a) $0\le a
Answers
The total number of ordered triples $(a,b,c)$ satisfying the conditions \($0\le a \le b \le c \le 10$\) is 10275.
The total number of ordered triples $(a,b,c)$ satisfying the conditions \($0\le a \le b \le c \le 10$\) is given by
\($n= \sum_{a=0}^{10}\sum_{b=a}^{10}\sum_{c=b}^{10} 1$$= \sum_{a=0}^{10}\sum_{b=a}^{10} (c-b+1)$$= \sum_{a=0}^{10}\sum_{b=a}^{10} c - \sum_{a=0}^{10}\sum_{b=a}^{10} b + \sum_{a=0}^{10}\sum_{b=a}^{10} 1$$= \sum_{a=0}^{10}\sum_{b=a}^{10} 10 - \frac{10(11-a)(a+1)}{2} + \sum_{a=0}^{10} (b-a+1)$$= \sum_{a=0}^{10} 105 - \frac{10(11-a)(a+1)}{2} + \frac{10(a+1)}{2}$$= \sum_{a=0}^{10} \frac{185 + 10a^2}{2}$$= \frac{(185 + 10\times 100) \times 10}{2}$ $= \frac{2055 \times 10}{2}$ $= 10275$\)
Therefore, the total number of ordered triples $(a,b,c)$ satisfying the conditions \($0\le a \le b \le c \le 10$\) is 10275.
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g(x) = - 3x - 8
g (____) =10
Answers
-3x-8=10
-3x=18
x=6
When g(x) is equal to 10, x is equal to 6. So, g(6)=10
Find the distance between the points (–7,–6) and (3,–6).
Answers
Answer:
(3+7)2+(-6+6)2
100+0
100
10
the sum of 2 numbers is 65 and the difference is 7
Answers
Answer:
Hello There!!
Step-by-step explanation:
The answer is=>The sum is x + y = 65
The difference is x - y = 7 .....x = 7 + y
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
x + y = 65
x + 29 = 65
X = 36
The Sum: 36 + 29 = 65
The Difference: 36 - 29 = 7
hope this helps,have a great day!!
~Pinky~
Answer:
36 and 29
Step-by-step explanation:
The sum of the two numbers is 65 and their difference is 7. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:
x - y = 7
Now solve equation B for x to get the revised equation B:
x - y = 7
x = 7 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
Now we know y is 29. This means that we can substitute y for 29 in equation A and solve for x:
x + y = 65
x + 29 = 65
X = 36
Summary: The sum of two numbers is 65 and their difference is 7. What are the two numbers? Answer: 36 and 29 as proven here:
Sum: 36 + 29 = 65
Difference: 36 - 29 = 7
what pattern can be observed from the data?
Answers
Answer:
Clustering Data
Step-by-step explanation:
A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.
A table showing Discount Cards Fundraiser with two columns and six rows. The first column, Cards Sold, has the entries, 10, 20, 30, 40, 50. The second column, Remainder of Goal, has the entries, $875, $795, $715, $635, $555.
Which word describes the slope of the line representing the data in the table?
zero
undefined
negative
positive
5
9
Answers
The word that describes the slope of the line representing the data in the table is "negative."
To determine the slope of the line representing the data in the table, we need to examine the relationship between the number of cards sold and the remaining amount of money needed.
Looking at the given data, we observe that as the number of cards sold increases, the remaining amount of money needed decreases. This indicates an inverse relationship between the two variables.
The slope of a line represents the rate of change between two variables. In this case, the slope is negative because the line decreases as we move from left to right.
Therefore, the word that describes the slope of the line representing the data in the table is "negative."
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Write the equation of the graph shown below in factored form. (6 points)
the graph starts at the bottom left and continues up through the x axis at negative two to a maximum around y equals eight and goes back down through the x axis at one to a minimum around y equals negative four and back up through the x axis at three
f(x) = (x + 2)(x + 1)(x + 3)
f(x) = (x − 2)(x − 1)(x − 3)
f(x) = (x − 2)(x + 1)(x + 3)
f(x) = (x + 2)(x − 1)(x − 3)
Answers
The minimum and the maximum y-values represent a quadratic function.
The function in factored form is \(f(x) = (x + 2)(x- 1)(x - 3)\)
From the question, the graph crosses the x-axis at:
x = -2x = 1x =3Next, we equate the above equations to 0
This gives:
\(x + 2 = 0\)
\(x - 1 = 0\)
\(x - 3 = 0\)
Multiply the above equations
\((x + 2)(x- 1)(x - 3) = 0 \times 0 \times 0\)
\((x + 2)(x- 1)(x - 3) = 0\)
Represent as a function
\(f(x) = (x + 2)(x- 1)(x - 3)\)
Hence, the required function is:
\(f(x) = (x + 2)(x- 1)(x - 3)\)
See attachment for the graph of \(f(x) = (x + 2)(x- 1)(x - 3)\)
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b²-4ac=0 solve for b
Answers
The value of b is solved using square root is found to be b = 2√ac.
Explain about the discriminant formula?The section of a quadratic formula following the square root symbol, b²-4ac, is the discriminant. If we have two solutions, single solution, or none at all, the discriminant informs us.
A quadratic equation with a positive discriminant has two unique real number solutions.A repeating real number solution to the quadratic equation is indicated by a discriminant of zero.Both of the answers are not real numbers, according to a negative discriminant.The given equation is:
b²- 4ac = 0
Separating unknown value from the equation:
b² = 4ac
Taking square root both side.
√b² = √4ac
Simplifying
b = 2√ac
Thus, the value of b is solved using square root is found to be b = 2√ac.
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i just need the answer no explanation
Answers
Answer:
ok no explanation.
2 is the answer
After playing 8 basketball games the warrior score 904 points how many points did they score per games?
Answers
Answer:
113 points per game
Step-by-step explanation:
8 basketball games
904 points in total
How many did they score per game?
______________________________
We know the Warriors scored 904 points at the end of the day, whilst having 8 basketball games said same day.
We need to split this equally to find our answer.
Divide the amount of points to the amount of games played :
904/8
113 points per game
What is the y inercept of a line that passes thrugh the point (2, -2.5) and (4, - 2)?
Answers
Answer:
-3
Step-by-step explanation:
Desmos & Brainly
The y-intercept of the line is -3
it's tooooo easy who wants brain list
Answers
Answer:
1) Isosceles
2) Acute
3) Right angled
4( Obtuse
5) Equilateral
2)Acute
3) right angled
4)obtuse
5)Equilateral
Solve the following system of equations and show all your work y=2x^2 y=3x-1
Answers
Answer:
( 1/2 ; 1/2 ) and ( 1 ; 2 )
Step-by-step explanation:
y = 2x².............1
y = 3x-1............2
2x²=3x-1
2x²-3x+1 = 0
(2x-1)(x-1) = 0
x = 1/2 or x = 1
y = 1/2 or y = 2
What are the solutions to the equation 0=|3x+3|+3
Answers
Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.
To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.
First, let's isolate the absolute value term on one side of the equation:
|3x + 3| = -3
Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.
To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:
3x + 3 = -3
-(3x + 3) = -3
Solving equation 1:
3x + 3 = -3
3x = -6
x = -2
Solving equation 2:
-(3x + 3) = -3
-3x - 3 = -3
-3x = 0
x = 0
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Find the volume of the solid whose base is a triangle with vertices (0,0), (0,3), and (5,0). Slices perpendicular to the x-axis are semicircles. Enter answer using exact values.
Answers
The volume of the solid whose base is a triangle with vertices (0,0), (0,3), and (5,0) is 25π/12 cubic units.
What is a triangle?
A triangle is a closed geometric shape that is formed by connecting three line segments. These line segments are called sides, and the points where they meet are called vertices. A triangle has three sides, three angles, and three vertices.
To start, let's graph the triangle to get a better understanding of the problem:
(0,3) *
|\
| \
| \
| \
| \
(0,0) *-----*-----> x
(5,0)
The height of this slice is given by the line from the point (x,0) to the point (0,3), which has equation y = 3/5 * x + 0. The radius of the semicircle is half the height of the slice, which is given by the equation r = 3/10 * x.
The area of a semicircle is πr²/2, so the volume of this slice is:
V(x) = π * (3/10 * x)² / 2 * dx
To find the total volume of the solid, we need to integrate this expression over the range of x values that covers the entire base of the solid, which is from x=0 to x=5:
V = ∫₀₅ π * (3/10 * x)² / 2 dx
V = π/20 * ∫₀₅ x² dx
V = π/20 * [x³/3] from 0 to 5
V = π/20 * (5³/3)
V = π/4 * (25/3)
V = 25π/12
Therefore, the volume of the solid is 25π/12 cubic units.
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The graph below is a polynomial function in the form f(x)=(x−a)(x−b). Find suitable real numbers a and b that describe the graph.
Answers
a and b are the values for x when y=0
[25x^{2} + 16y^{2}
plz factor
Answers
Answer:
\((5x)^2+(4y)^2\)
Step-by-step explanation:
\(25x^2+16y^2=\\(5x)^2+(4y)^2\)
Hope this helps!
5
4
3-
Mark this and return
N
-5-4-3-2-1₁.
24
1+
GAW N
y
+2+
-3
-4
1 2 3 4 5 x
What is the range of the function on the graph?
O all the real numbers
O
all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
O all the real numbers greater than or equal to -3
Save and Frit
Answers
The range of the function on the graph would be: D. all real numbers greater than or equal to 2
How to calculate the function rangeTo obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.
So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.
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If
f(x) = ax + b,
where a, and b are constants, what is f(b)?
Select the correct answer below:
O f(b) = 2ab
O f(b) = ab + b
O f(b) = a + b
O f(b) = ab + a
< Previous
Answers
Answer:
f(b) = ab+ b
Step-by-step explanation:
Given f(x) = ax + b
To find f(b) plug b in for x.
f(b) = ab + b