The problem is a basic mathematical exercise involving negative and positive numbers related to bank transactions. The original balance is overdrawn and represented as a negative number, and then deposits and withdrawals are added and subtracted respectively to find the new balance which still ends up overdrawn.
Explanation:The problem given is about mathematical operations and bank transactions. The subject here is a subtraction and addition problem involving negative and positive numbers. The initial account balance represented as '––$324' shows an overdrawn account and is a negative number. Then, the account holder deposited checks, which is a positive value represented by '3(150)', and each deposit is $150 making it a total deposit of $450. Then, the account holder made withdrawals represented by '4(–20)', each withdrawal of $20 thereby making a total withdrawal of $80. Therefore, to find the new balance of the account, the calculation should be as follows: '–324 + 3(150) – 4(20) -> –324 + 450 – 80', which equals 46, indicating that the account is overdrawn by $46.
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Find area of shaded region. Round to the nearest tenth need help ASAP
Answer:
The area of shaded region is 226.4 meter squared.
Step-by-step explanation:
Radius of the circle = r =18.6 m
Angle subtended by chord[tex]\theta = 123^o[/tex]
Area of sector = [tex]\frac{\theta }{360^o}\pi r^2[/tex]
In ΔOAB
∠A+∠B+∠O= 180°
2∠A+123°= 180°(∠A=∠B, isosceles triangle)
∠A=∠B=28.5°
AC=BC (Radius of the circle bisects the chord at right angle.)...(1)
In ΔOAC
[tex]\sin 123^0=\frac{OC}{OA}[/tex]
OC = 8.87 m
[tex]\cos 123^0=\frac{AC}{OA}[/tex]
AC = 16.34 m
AB = AC+AB=16.34 m+16.34 m=32.68 m (from (1))
Area of the ΔOAB = [tex]\frac{1}{2}\times OC\times AB[/tex]
=[tex]\frac{1}{2}\times 8.87 m\times 32.68 m=144.93 m^2[/tex]
Area of segment = Area of sector - Area of triangle:
[tex]371.34 m^2-144.93 m^2=226.41 m^2\approx 226.4 m^2[/tex]
The area of shaded region is 226.4 meter squared.
Given AB= BC= CD. What is the measure of angle AFB?
Answer:40
Step-by-step explanation:
find the diameter of a circle with an area of 12.6 square inches
Answer:
Step-by-step explanation
the answer is 10
The diameter of a circle is 4.005 inches
What is diameter of a circle?
"The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circumference of the circle."
What is circle?
"A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape."
We have,
Area of Circle is 12.6 square inches
Formula to find the diameter of a circle
D = [tex]2[/tex]×[tex]\sqrt{\frac{Area of Circle}{\pi } }[/tex]
D = [tex]2[/tex]×[tex]\sqrt{\frac{12.6}{\pi } }[/tex]
D = [tex]2[/tex]×[tex]\sqrt{4.0107}[/tex]
D = [tex]2[/tex]×[tex]2.002[/tex]
D = [tex]4.005[/tex] inches
Hence, the diameter of a circle is 4.005 inches
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What is the value of x?
Enter your answer in the box.
x =
Answer:
x = 5
Step-by-step explanation:
Applying Pythagoras' identity to the right triangle
x² + 12² = 13²
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x = [tex]\sqrt{25}[/tex] = 5
solve this equation for x. round your answer to the nearest 0 = ln (x+6)
Answer: [tex]x=-5[/tex]
Step-by-step explanation:
To solve this exercise you need to remember the following:
[tex]e^{lnx}=e^{lny}[/tex] → [tex]x=y[/tex]
Therefore, keeping the above on mind, you can solve for x as following:
[tex]e^0=e^{ln(x+6)}[/tex]
[tex]e^0=x+6[/tex]
Remember that, by definition: [tex]a^0=1[/tex], then you have:
[tex]1=x+6[/tex]
Subtract 6 from both sides of the equation.
Then the value of x is:
[tex]1-6=x+6-6\\x=-5[/tex]
What is the radius for a circle whose equation is x2 + y2 = 36?
Answer:
Radius : 6
Step-by-step explanation:
Rewrite in standard form to find the radius.
Hope this helps,
Davinia.
Radius of a circle whose equation is [tex]x^{2} +y^{2} =36[/tex] is 6
What is an equation?An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.
What is a circle?A closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre" is called a circle.The standard equation of the circle is: [tex]x^{2} +y^{2} = a ^{2}[/tex], where a is the radius of the circle.How to find the radius of the given circle ?The given equation of the circle is : [tex]x^{2} +y^{2} =36[/tex]Comparing the given equation with the standard equation, we can say,
a² = 36
⇒ a = ± 6
Since a is the radius, the negative value gets rejected.
The radius of the given circle is 6.
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what series of transformation from ∆ ABC to ∆ DEF shows that ∆ ABC =~∆ DEF
Reflection? I'm not sure
It is reflection, I took a mini quiz on this
The perimeter of a triangle below is 4x+3y. Find the measure of the missing side. (One side is x-y, the other is x+y)
Answer:
P = 2X + 3Y
Step-by-step explanation:
Perimeter of a triangle is the sum of its three sides, so:
P is the side to find
4x + 3y = (X-Y) + (X+Y) + P
We can to eliminate -y and y, so:
4x +3y = 2X + P
Reducing terms:
4x - 2x + 3y = P
P = 2X + 3Y
Best regards
The missing side of the triangle can be found by subtracting the known sides from the total perimeter. So, in this case, the measure of the missing side is 2x+3y.
Explanation:The subject of this question is Mathematics and it's applicable for a High School level. The question is asking to find the measure of the missing side of a triangle with a given perimeter and two sides. In this scenario, the perimeter of a triangle is given as 4x+3y, and two sides of the triangle are mentioned as x-y and x+y.
The perimeter of a triangle is the sum of the lengths of all its sides. If two sides are given as x-y and x+y, and the perimeter is 4x+3y, then the missing third side can be determined by subtracting the lengths of the known sides from the total perimeter, i.e., the missing side = perimeter - (sum of known sides) = 4x+3y - [(x-y) + (x+y)].
Simplifying this, we get: missing side = 4x+3y - 2x = 2x+3y. So, the missing side of the triangle has the measure of 2x+3y.
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Which of the following statements is false?
Answer:
A
Step-by-step explanation:
Volume and capacity measure the same idea. They each describe how much something can hold. Volume measures it in cubic units while capacity measures it in ounces, liters, etc. It can be almost any measurement. They will not have the same measurement type or number since each measurement will give different numbers.
An article reports "attendance dropped 8 precent this year, to 3800." What was the attendance before the drop?
Answer:
approx 4130
Step-by-step explanation:
x * .92 = 3800
3800/.92 = 4130.43478261
4130 approx. attendance before drop
Answer: 4,130
Step-by-step explanation:
Hi, to answer this we have to multiply the attendance before the drop (x) by the percentage that assisted after the drop ( 1-0.08) . That expression must be equal to the attendance after the drop (3800)
Mathematically speaking:
8% = 8/100 = 0.08 (decimal form)
x (1-0.08)= 3800
x (0.92) =3800
Solving for x
x = 3800/0.92
x= 4,130
two-fifth of the fish in Gary's fish tank are guppies. One-fourth of the guppies are red. What fraction of the fish in Gary's tank are red guppies. Show your work
Answer:
1/10
Step-by-step explanation:
To find the number of red guppies, multiply the fractions.
Gary has 2/5 of his fish collection as guppies. Of the guppies, 1.4 are red.
So 2/5 * 1/4 = 2/20 = 1/10.
NEED HELP PLZ
Paul pays property tax in Dallas. On which of the
following might Paul pay property tax?
A clothing
B office space
C groceries
D salary
Answer:
B office space.
Step-by-step explanation:
What it says is Paul pays property tax. Property will be a building of some sort so office space is your answer.
Which of the following points is a solution of y ≤ -|x| - 1?
(-1, -3)
(0, 0)
(1, -1)
Answer:
[tex]\large\boxed{(-1,\ -3)}[/tex]
Step-by-step explanation:
[tex]|a|=a\ \text{for}\ a\geq0\\\\|a|=-a\ \text{for}\ a<0\\\\\text{Examples}\\\\|3|=3,\ |1.6|=1.6\\|-3|=-(-3)=3,\ |-1.6|=1.6\\===================[/tex]
[tex]y<-|x|-1\\\\\text{Put the values of x and y from the coordinates of the points and check inequality}\\\\(-1,\ -3)\to x=-1,\ y=-3\\-3<-|-1|-1=-1-1=-1\qquad\text{CORRECT :)}\\\\(0,\ 0)\to\ x=0,\ y=0\\0<-|0|-1=-1\qquad\text{FALSE\ :(}\\\\(1,\ -1)\to x=1,\ y=-1\\-1<-|1|-1=-1-1=-2\qquad\text{FALSE\ :(}[/tex]
what is 0.1675 rounded to the nearest hundreth
0.1675 rounded to the nearest hundredth is 0.17.
When 0.1675 is rounded to nearest hundredth decimal place answer would definetely be
0.17plzzzzzz mark as brainliest!!!3(14-5x) = 72
what is x
Answer: x = -2
Step-by-step explanation:
The original problem is 3(14-5x) = 72. First, multiply 3 by the contents of the parentheses:
42 - 15 x = 72
Next, subtract 42 from each side:
-15x = 30
Now divide both sides by -15:
X = -2
Answer: -2
Step-by-step explanation:
First you begin by taking 3 and multiplying is by 14 and -5x:
(3 X 14) - (3 X -5x) = 72
42 - 15x = 72
Next, you subtract 42 from each side to isolate the variable.
-15x = 30
Next you divide each side by -15 to get the value of x.
X = -2
I hope this helps!
The combined volume of three pools at a water park is 1.35 · 10^4 gallons. The water park plans to install a new pool with a volume of 3,500 gallons. What will be the total volume of all the pools at the water park after the new pool is installed?
Answer:
16500 gallons
Step-by-step explanation:
Due to:
(1.35)*(10^4) = 13500
then, with the new pool with 3500 gallons, the total volumen will be:
Vt = 13500 + 3500
Vt = 16500 gallons
Best regards
The total volume of all pools at the water park after the new pool is installed is calculated by adding the volume of the new pool to the existing total pool volume. The calculation results in a total volume of 1.385 · 10^4 gallons.
Explanation:To find the total volume of all the pools after the new pool is installed, we have to add the volume of the new pool to the combined volume of the existing pools. The combined volume of the three existing pools at the park is 1.35 · 10^4 gallons, and the volume of the new pool is 3,500 gallons.
So, the calculation would be: 1.35 · 10^4 gallons + 3,500 gallons.
When you calculate that, you get 1.385 · 10^4 gallons. Thus, the total volume of all the pools at the water park after the new pool is installed will be 1.385 · 10^4 gallons.
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what is -4,5 reflected across the x axis
The answer to what is -4,5 reflected across the x axis is 4,5 bwcause its like a opposite
The coordinate obtained when -4,5 reflected across the x axis is (-4,-5).
What is Transformation?The process of reflecting, dilating, rotating or translating is called Transformation.
The coordinate is (-4,5)
When a coordinate is reflected over x axis, the coordinate changes in following form:
(x,y) -------> (x,-y)
The new coordinate will be (-4,-5).
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remmi wrote the equation of the line y=1/3(x+2). He solved for x and got x=3y-2. which following is an equivalent equation for x?
Answer:
Answer you chosen in the option is correct!
Step-by-step explanation:
Here we can see that Remmi got x =3y -2
if we need to match it from given options we can take 3 as common factor from the right side ,Since we dont have 3 common in second term but using common number of property of numbers we can pull 3 from both terms because of which 3 is now in denominator of second term which is 2/3
therefore equation becomes as third option so answer chosen by you is correct
Answer:
C.
Step-by-step explanation:
what is the composition of Transformations mapping ∆ABC to ∆A'B"C"?
the first transformation is ______________
a. a reflection across m
b. a rotation about b
c. translation down
the second transformation is ________________
a. a reflection across m
b. a rotation about a
c. a translation right
∆ABC is ______________ ∆A'B"C".
a. greater than
b. less than
c. congruent to
Answer:
I would say the answer is
1. reflection across m
2. rotation about a
3. congruent to
all transformations are congruent to each other unless it is a dilation.
Step-by-step explanation:
Answer: The first transformation is a. a reflection across m.
The second transformation is b. a rotation about a.
∆ABC is c. congruent to ∆A'B"C".
Step-by-step explanation:
In the given picture, we can see that ΔABC is reflected across line m to create ΔA'B'C' such that all the corresponding points in both the triangles are equidistant from the line of reflection m.
∴ First transformation: Reflection across m.
After that, there is rotation of ΔA'B'C' about point A' about some degrees such that, every corresponding points in both the triangles are equidistant from the point of rotation A'.
∴ Second transformation : Rotation about A'.
Since reflection and rotation are rigid transformations, therefore they produce only congruent figures.
Therefore, ∆ABC ≅ ∆A'B'C'
∆A'B'C' ≅ ∆A'B"C"
By law of transitivity of congruence,
∆ABC ≅ ∆A'B"C"
what are the zeros of the function? f(x)=x(x-2)(x+1)
-2
-1
0
1
2
select EACH correct answer
Answer:
x = -1, 0 , 2
Step-by-step explanation:
The zeros of the function are the solutions to its factors. When you set each factor equal to 0 using the zero product property, the solutions for x are the zeros. The function has factors x, x-2, and x+1. Set each equal to 0 and solve for x.
x = 0
x - 2 = 0 has solution x = 2
x + 1 = 0 has solution x = -1
I have no idea what the answer is too this. It is geometry if you didn't know already. I'm really struggling here. If anybody could help me out with the answer that would be great
Answer:
33.68
Step-by-step explanation:
The two y values coming from I are equal.
The two x values coming from K are equal.
That's because tangents to a circle from the same external point are equal.
5x + 1 = 6x - 3 Add 3 to both sides
5x + 1 + 3 = 6x -3+3 Combine
5x + 4 = 6x Subtract 5x from both sides.
5x-5x+4=6x- 5x Combine
4 = x
===================
y + 10 = 4y + 2 Subtract y from both sides
y-y+10=4y-y+2 Combine
10 = 3y + 2 Subtract 2 from both sides
10-2=3y+2-2 combine
8 = 3y Divide by 3
8/3 = y
y = 2.67
====================
Now you just put x and y into the parts that make up IK.
IK should come out to 33.68
4x-11=3.2x+13. Write the lesser solution first. Round to the nearest tenth if needed
To solve the equation 4x - 11 = 3.2x + 13 and find the lesser solution, subtract 3.2x from both sides, simplify the equation, and solve for x. The lesser solution is x = 30.
Explanation:To solve the equation 4x - 11 = 3.2x + 13 and find the lesser solution, we need to isolate the variable x. Here are the steps:
Start by subtracting 3.2x from both sides: 4x - 3.2x - 11 = 3.2x - 3.2x + 13.This simplifies to 0.8x - 11 = 13.Add 11 to both sides: 0.8x -11 + 11 = 13 + 11.Now we have 0.8x = 24.Divide both sides by 0.8: (0.8x) / 0.8 = 24 / 0.8.This gives us x = 30.So, the lesser solution is x = 30.
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What are the x and y intercepts of y=x^2+3x-10 (show all steps please)
Answer:
X-int: (2,0) , (-5,0)
Y-int: (0,-10)
Step-by-step explanation:
To solve for the x-int, set y to 0.
0= x^2 + 3x - 10
0= (x-2)(x+5)
x= 2, and -5
To solve for the y-int, set x to 0.
y= (0)^2 + 3(0) - 10
y= -10
the map shows the location of four places on a school Peterson English class is located in the same quadrant as the auditorium. which of the following could be the coordinates of the English classroom? (there is a pic with the answer choices and the map) PLLZZ HELLLPPP
Answer:
Hey its (-3,2
Step-by-step explanation:
Answer:
i think -3-2 i hope that helps
Step-by-step explanation:
it;'s -3-2 because its in the same quadrant as the auditorium so it is both nehgative numbers
What is the slope of the line 6x+3y=12
Answer:
-2 is the slope
Step-by-step explanation:
To find the slope of the line, we need to solve for y
6x +3y = 12
Subtract 6x from each side
6x-6x +3y = -6x+12
3y = -6x+12
Divide each side by 3
3y/3 = -6x/3 +12/3
y = -2x+4
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
-2 is the slope and 4 is the y intercept
2 3/4 divided by 3. What is the quotient and what is it in lowest terms?
Answer:
11/12
Step-by-step explanation:
2 3/4 = 2·(4/4) + 3/4 = (8/4) +(3/4) = (8+3)/4 = 11/4
Then your problem becomes ...
(11/4) / 3 = (11/4) · (1/3) = (11·1)/(4·3) = 11/12
___
The numerator and denominator have no common factors, so this is lowest terms.
Final answer:
The quotient of 2 ³/₄ divided by 3 is 11/12, and it is already in the lowest terms.
Explanation:
To calculate the quotient of 2 ³/₄ divided by 3, we first convert the mixed number to an improper fraction. So, 2 ³/₄ is the same as 11/4 (because 2 x 4 + 3 = 11). Next, we divide this improper fraction by 3, which is the same as multiplying by the reciprocal of 3, which is 1/3.
11/4 × 1/3 = 11/12. This gives us the final quotient, which is already in lowest terms, as 11 and 12 have no common factors besides 1.
sidaanth kept a chart of his savings .which point represents this relationship?
Point B in the graph represents the relationship to Sidhaanth's savings.
How do we read a graph in the Coordinate (x-y) plane?A point on the graph can be read as a point (x, y) where y is the perpendicular distance of the point from the x-axis and x is the perpendicular distance of the point from the y-axis.
How do we solve the given question?We are asked to tell the point that represents Sidhaanth's savings among the points A and B.
We analyze each point like this:
Point A:
The perpendicular distance from the y-axis (x) = 1 unit.
The perpendicular distance from the x-axis (y) = 28 units.
∴ The point is (1, 28) which says that Sidhaanth's weekly savings are $28.00. This is not true, as his weekly saving, as seen from the table is $7.00.
So, point A doesn't represent the relationship to Sidhaanth's savings.
Point B:
The perpendicular distance from the y-axis (x) = 2 units.
The perpendicular distance from the x-axis (y) = 14 units.
∴ The point is (2, 14) which says that Sidhaanth saves $14.00 every 2 weeks. This is true, as we can see from the table that his savings in the 2nd week are $14.00.
So, point B represents the relationship to Sidhaanth's savings.
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Answer:B
Step-by-step explanation:
Because the graph shows times 7 point be shows 2(weeks) and 14(dollars) and also that’s what the table shows
The difference between 48 and 13 algebra numeral expression.
Numerical expressions contain numbers, while algebraic expressions contain variables and numbers.
Numerical Expression
"Difference" indicates that we'll be subtracting 13 from 48.
48 - 13 = 35
Algebraic Expression
Variables represent the unknown number, in this case the difference between 48 and 13. Let d represent the difference between the two.
48 - 13 = d
35 = d
last week in your job at a darkroom you printed the following numbers of photographs Monday 17 Tuesday 21 Wednesday 19 Thursday 21 and Friday 19. on average about how many prints did you make per day?
Answer:
You printed about 19 prints a day.
Step-by-step explanation:
We need to find the mean of the data set. To do that we add all the numbers and divided by the number of #s.
17 + 21 + 19 + 21 +19 = 97
97 divided by 5 = 19.4
so you did about 19 prints.
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What is the distance between each data point and the regression line called?
A residual is the space between each data point and the regression line.
Describe the linear regression line.Regression lines can graphically show the relationship between the independent (x) and dependent (y) variables in the graph.
Instead of being multiplied, divided, or given as a non-algebraic function, as has been the case up to this point in this section, the terms in a linear model are added. The use of linear modelling enables the analysis of experimental, financial, and biological data as well as the prediction of complex systems.
Linear regression is a statistical method for creating linear models. A dependent variable y (also known as the response) and one or more independent variables Xi are related in the model (called the predictors). A residual is the separation of each data point from the regression line.
The information is ,
Regression lines can be used to visually express the independent (x) and dependent (y) variables in a graph given data.
The regression line is sometimes sometimes referred to as the "line of best fit" since, when drawn across the points, it is the line that fits them the best. The disparity between the anticipated and actual scores is minimized by this line.
And , A residual is the separation of each data point from the regression line.
The gap between data points on a regression line is hence known as the residual.
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