Answer:
A number line with a closed circle on -8, an open circle on 9, and shading in between
Adam is 5 years younger than Eve. In 1 year, Eve will be three times as old as Adam was 4 years ago. Find their ages now.
Answer:
Adam is currently 4 and Eve is currently 9
Step-by-step explanation:
its right
A and b are mutually exclusive events. If p(a)=0. 07692 and p(b)=0. 25, what is the probability probability of a or b. To four decimal places? select one.
The probability of A or B would be 0.3269. Probability can be used to make predictions and make decisions based on uncertain information in fields such as finance, engineering, and science.
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event will not occur and 1 indicating that an event will definitely occur. Events with probabilities closer to 1 are considered more likely to happen, while events with probabilities closer to 0 are considered less likely.
Since A and B are mutually exclusive events, they cannot occur at the same time. Therefore, the probability of A or B is the sum of their individual probabilities.
p(A or B) = p(A) + p(B) = 0.07692 + 0.25 = 0.32692
To four decimal places, the probability of A or B is 0.3269.
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Mr. And Mr. Lopez will make a vegetable garden in their two rectangular plot. They decided to ue 3/4 of one plot for pechay and the ret for lettuce. What part of the plot will be ue for lettuce?
Mr. And Mr. Lopez will make a vegetable garden in their two rectangular plot. They decided to use 3/4 of one plot for peachy and the ret for lettuce. 3/2 part of the plot will be use for lettuce.
Rectangular plot:
To build a house, we are given a rectangular plot with length and façade dimensions. By law, there must be a minimum amount of space in front and back, as well as space on the other side.
Area can be defined as the amount of space covered by a plane of a particular shape. It is measured in "number" of square units (square centimeters, square inches, square feet, etc.). The area of a rectangle is the number of unit squares that fit in the rectangle. Examples of rectangles are flat surfaces such as laptop monitors, chalkboards, and painting canvases. We can use the rectangle area formula to find the space occupied by these objects. For example, consider a rectangle that is 4 inches long and 3 inches wide.
According to the Question:
To find the number of garden plots planted with peachy, just multiply them.
Mathematical Sentence:
⇒ 2 × 3/4
⇒ 6/4 = 3/2 = 1.5
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Which of the following is not true regarding operations with
exponents?
A. To divide powers with the same base, subtract the exponents.
B. To subtract powers with the same base, divide the exponents.
C. To multiply powers with the same base, add the exponents.
D. To raise the power to a power, multiply the exponents.
Answer:
B is not true, the other options are correct.
Step-by-step explanation:
B. To subtract powers with the same base, divide the exponents. is not true. The correct operation is to subtract the exponents.
A. To divide powers with the same base, subtract the exponents. is true. When dividing two powers with the same base, you subtract the exponents. For example, (x^3) / (x^2) = x^(3-2) = x^1
C. To multiply powers with the same base, add the exponents. is true. When multiplying two powers with the same base, you add the exponents. For example, (x^3) * (x^2) = x^(3+2) = x^5
D. To raise the power to a power, multiply the exponents. is true. When raising a power to another power, you multiply the exponents. For example, (x^3)^2 = x^(3*2) = x^6
So, B is not true, the other options are correct.
Find the measure of angle “x” in degrees. Round to two decimals places as necessary!! HELPP PLS
Answer:
x ≈ 50.06°
Step-by-step explanation:
using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{23}{30}[/tex] , then
x = [tex]sin^{-1}[/tex] ( [tex]\frac{23}{30}[/tex] ) ≈ 50.06° ( to 2 decimal places )
Select the correct answer. sara goes on a slingshot ride in an amusement park. she is strapped into a spherical ball that has a radius of centimeters. what is the volume of air in the spherical ball? use this formula: , where r is the sphere’s radius. a. b. c. d.
The volume of air in the spherical ball is [tex]\frac{4}{3}\cdot \pi\cdot 3^3\cdot 10^6[/tex]. So the option A is correct.
In the given question, we have to find the volume of air in the spherical ball.
A sphere's capacity is measured by its volume. It is the area the sphere calls home. Cubic units are used to express the volume of a sphere. The sphere has a three-dimensional, rounded shape. Its shape is defined by its three axes, which are the x, y, and z axes.
Since the cross-section of the sphere is a circle, the volume in this situation is dependent on the radius's diameter. A sphere's surface area is the area or region of its outside. The following formula can be used to determine the volume of a sphere whose radius is "r":
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
As given r = 3·10^2. So,
V = [tex]\frac{4}{3}\pi (3\cdot 10^2)^{3}[/tex]
V = [tex]\frac{4}{3}\cdot \pi\cdot 3^3\cdot 10^6[/tex]
V = [tex]4\cdot \pi\cdot 3^2\cdot 10^6[/tex] cm^3
Hence, the option A is correct.
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The complete question is given below:
help me pleaseeeeeeeee
Option G is the correct one. The table represents the non proportional linear relationship with equation y = 3x - 3.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Given values are,
x = 4, then y = 9
x = 5, then y = 12
x = 2, then y = 3
This is clearly not a proportional relation since 4/9 ≠ 5/12
Let y = 3x - 3
If x = 4, then y = (3 × 4) - 3 = 9
If x = 5, then y = (3 × 5) - 3 = 12
If x = 2, then y = (3 × 2) - 3 = 3
This equation holds.
Hence the true statement is option G.
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What is
49 increased by twice a number m
Answer:
The result can be shown in multiple forms.
Exact Form: m = 49/2
Decimal Form: m = 24.5
Mixed Number Form: m = 24 1/2 (twenty-four and a half as a fraction)
Step-by-step explanation:
1. Divide each term in 2 m = 49 by 2:
2m/2 = 49/2
2. Simplify the left side.
m = 49/2
The result can be shown in multiple forms.
Exact Form: m = 49/2
Decimal Form: m = 24.5
Mixed Number Form: m = 24 1/2 (twenty-four and a half as a fraction)
The 49 increased by twice a number m is 49+2m
What are expressions in maths?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: An expression, also known as an algebraic expression, is a mathematical statement that consists of numbers, variables, and an arithmetic operation between them. An expression is (Number/variable, Math Operator, Number/variable). In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.Given data :
49+2m
Increase means “go up” which is another way to say addition
Twice means “two times” or “doubled”
A number would be a variable since it’s unknown
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what is 38 percent of 350
38/100×350=38/10×35=38/2×7
=266/2=133
Answer: 133
Step-by-step explanation:
38% of 350
You can use is/of=%/100
Plug-in points
is/350=38/100 ----> 133
given h(x)=-9x+5 find h(8)
What is the rule for the reflection?
ryx(x, y)-(-y, -x)
ryx(x, y)-(-y, -x)
ryx(x, y) (y,x)
ryx(x, y) → (V, x)
While reflecting about the line y=x, option (c) [tex]r_{y=x}(x,y) = (y,x)[/tex] is correct and while reflecting about the line y= -x, option (b) [tex]r_{y=-x}(x,y) = (-y,-x)[/tex] is correct.
What is the rules of reflection in coordinate geometry?The x-coordinate and y-coordinate are reversed when a point is reflected over the line y = x. The x-coordinate and the y-coordinate switch places and become negated if you reflect over the line y = -x (the signs are changed). The line y = x is the point of reflection of the point (x,y) across (y, x).
Firstly, the rule for reflecting a point about the line y=x is:
[tex]r_{y=x}(x,y) = (y,x)[/tex]
While reflecting about the line y=x, we get the reflected points by swapping the coordinates.
So, Option 3 is correct.
Now, the rule for reflecting a point about the line y= -x is:
[tex]r_{y=-x}(x,y) = (-y,-x)[/tex]
While reflecting about the line y= -x, we get the reflected points by multiplying '-1' with the swapped coordinates.
So, Option 2 is correct.
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What is the correlation coefficient for the data shown in
the table?
О о
0 1
04
05
Solving provided question, we can say that the correlation coefficient for data shown will be as [tex]\sqrt{x} =\sqrt{y} = > \sqrt{x^2} = \sqrt{y^2}[/tex]
what is correlation coefficient?In statistics, the Pearson's correlation coefficient, often known as Pearson's r, Pearson's product-moment correlation coefficient, bivariate correlation, or simply correlation coefficient, is a metric for the linear correlation between two data sets. A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another variable's value. The values rise or fall jointly for variables with positive correlation. When evaluating the strength and direction of linear relationships between two sets of variables, correlation coefficients are used. If both variables are regularly distributed, use Pearson's correlation coefficient; if not, use Spearman's.
here,
the correlation coefficient for data shown will be as
[tex]\sqrt{x} =\sqrt{y} \\\sqrt{x^2} = \sqrt{y^2}[/tex]
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whats colder? -0.9 or -1.2
assuming they are the same unit, -1.2 is colder
when a number is negative, the further the number is from zero the less (colder) it is
Which of the following pair is a solution of the equation 2x - 3y = 7A(0,2)B(2, -3)C(5,1)D(1,5)
The pair in the solution of the equation 2x-3y = 7 is (5,1).
Solution of equationThe set of all values that, when substituted for unknowns, make an equation true is known as the solution.
Solution of linear equation in two variablesA specific location on the graph is the solution of a linear equation in two variables, where ax+by = c, meaning that when the x-coordinate is multiplied by a and the y-coordinate is multiplied by b, the sum of these two values equals c. There are essentially an endless number of solutions to a linear equation with two variables.
Now in the question,
To find the pair of solutions of equation 2x - 3y = 7, we satisfy all the pairs one by one in the given equation
1. Putting the value of (x, y) as (0,2) in the equation we get-
2*0 - 3*2 = 7 ⇒ -6 =7
Therefore LHS ≠ RHS
Hence it is not the solution to the equation.
2. Putting the value of (x, y) as (2,-3) in the equation we get-
2*2 - 3*-3 = 7 ⇒ 13 =7
Therefore LHS ≠ RHS
Hence it is not the solution to the equation.
3. Putting the value of (x, y) as (5,1) in the equation we get-
2*5 - 3*1 = 7 ⇒ 7 = 7
Therefore LHS = RHS
Hence it is the solution to the equation.
4. Putting the value of (x, y) as (1,5) in the equation we get-
2*1 - 3*5 = 7 ⇒ -13 =7
Therefore LHS ≠ RHS
Hence it is not the solution to the equation.
Thus (5,1) is the solution of the equation.
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How do you find the coordinates of an object in an image?
Finding the coordinates of an object in an image involves using image processing techniques such as object detection and image segmentation.
Object detection involves identifying the presence of an object in an image, while image segmentation involves isolating the object in the image.
Once the object is identified and isolated, its coordinates can be determined by using the position of the object's bounding box or contour.
Bounding box is a rectangular box that surrounds the object, its coordinates can be determined by the position of its top-left corner and bottom-right corner.
Contour is the boundary of the object, its coordinates can be determined by the points that are part of the boundary.
Computer Vision libraries such as OpenCV, Tensorflow or PyTorch can be used to perform object detection and image segmentation. They also provide pre-trained models which can be used for object detection and image segmentation without the need to train a model from scratch.
In conclusion, finding the coordinates of an object in an image requires using image processing techniques such as object detection and image segmentation to identify and isolate the object, and then determining its coordinates by using the position of the object's bounding box or contour.
This process can be aided by using Computer Vision libraries such as OpenCV, Tensorflow or PyTorch.
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-9h-15=93
show work ;0
First add 15 to 93 which equals 108.
-9h=108
/-9 /-9 divide both sides by -9
h=-12
[tex]-9h-15=93[/tex]
Add 15 to both sides:
[tex]-9h-15+15=93+15[/tex]
[tex]-9h=108[/tex]
Divide both sides by -9:
[tex]\dfrac{-9h}{-9} =\dfrac{108}{-9}[/tex]
[tex]\fbox{h = -12}[/tex]
Solve each equation. Check your solution. (Examples 2 and 3)
1) -9=3+a
2) -5+ x = 10
Help me Evaluate the expression n4 for n = 0.3
Answer:
0.0081
Step-by-step explanation:
n^4
n = 0.3
We just need to put 0.3 in for n and solve
(0.3)^4 = 0.3 x 0.3 x 0.3 x 0.3 = 0.0081
What is the solution Y=x-5
The solution of the expression for x is y+ 5.
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 expression is y = x - 5. The solution of the expression for x will be,
y = x - 5
x = y + 5
Therefore, the solution of the expression for the value of x will be x = y + 5.
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Adam bought granola bars at the store. The
expression 6p + 5n gives the number of bars
in p boxes of plain granola bars and n boxes of
granola bars with nuts. What are the terms of
the expression?
what is 64 divided by 48000
and I need work please
Challenge A family wants to rent a car to go on vacation. Company A charges $35.50 and 11e per mile. Company B charges $60.50 and 12c per mile. How much more does Company B charge for x miles than Company A?
The amount of money Company B charge for x miles than Company A when Company A charges $35.50 and 11cent per mile. Company B charges $60.50 and 12cent per mile is $40 and 1 x cents.
How can the amount of money Company B charge for x miles than Companybe obtained?The concept that will be used is the concept of substraction and unit conversion.
Company A =$35.50 and 11 cent per mile
Company B = $60.50 and 12 cent per mile
(Amount of money from Company B -Amount of money from Company A)
($75.50 and 12 cent - $35.50 and 11 cent )
= $40.00 and 1 cents per mile.
Then to know the amount the Company B charge for x miles than Company A which is x miles, we multiply $40.00 and 1 cents by x miles.
Since $1 =100
Then we can convert dollars to cents by multiply it by 100
which is (7562 - 3561 cents) = 4001 cents.
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Jamine charge $15. 50 per hour to baby-it. If he baby-it for 12. 5 hour in one weekend, how much money will he earn? Write your anwer to the hundredth place
Jamine will earn $193.75.To give us an accurate amount, we round the answer up to the hundredth place, which gives us our final amount of $193.75.
To give us an accurate amount, we round the answer up to the hundredth place, which gives us our final amount of $193.75.
1. Take the hourly rate of $15.50 and multiply it by the number of hours worked, 12.5, to get the total amount earned.
2. $15.50 x 12.5 = $193.75
3. Round the answer up to the hundredth place for a total of $193.75
Jamine charges $15.50 per hour to baby-sit. In one weekend, he baby-sat for 12.5 hours. To calculate how much money he will earn, we take the hourly rate of $15.50 and multiply it by the number of hours worked, 12.5. This gives us a total of $193.75. To give us an accurate amount, we round the answer up to the hundredth place, which gives us our final amount of $193.75.
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12 5/8-7 4/5
Simplify the expression above. Which of the following is correct?
O -4 33/40
O -5 7/40
O -5 1/3
O -4 7/40
PLS HELP 100 POINTS
The function f(x) = x + 3 represents the length of a rectangle, and the function g(x) = 6x − 5 represents the width of the rectangle. What is the area of the rectangle if x = 3?
−72
19
78
117
Answer:
78 square units
Step-by-step explanation:
Length of the rectangle:
[tex]f(x)=x+3[/tex]Width of the rectangle:
[tex]g(x)=6x-5[/tex]The area of a rectangle can be calculated by multiplying the length by the width. Therefore, the equation for the area of the rectangle with the given length and width is:
[tex]\begin{aligned}\implies \textsf{Area}&=\sf length \times width\\& = f(x) \cdot g(x)\\&=(x+3)(6x-5)\\&=6x^2-5x+18x-15\\&=6x^2+13x-15\end{aligned}[/tex]
To find the area of the rectangle if x = 3, substitute x = 3 into the found equation:
[tex]\begin{aligned}\implies \textsf{Area}&=6x^2+13x-15\\&=6(3)^2+13(3)-15\\&=6(9)+13(3)-15\\&=54+39-15\\&=93-15\\&=78\;\; \sf square \; units\end{aligned}[/tex]
Therefore, the area of the rectangle is 78 square units.
PLEASE HELP
if f(x)=8x-2/2x what is f (I) equeal to?
A.3
b. 5
c.6
d.8
The value of f(1) is equal to 7
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here f(x)=8x-2/2x putting x=1 we get
f(1)= 8-2/2
= 7
Hence f(1) is equal to 7
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How many square kilometers are in 1,750,000
square meters?
Answer:1.75
Step-by-step explanation:
(Two-Step Linear Inequalities MC) Which graph represents the solution to the inequality 2(b + 2) > 24? number line with open point at 10 with arrow pointing left number line with closed point at 10 with arrow pointing left number line with closed point at 10 with arrow pointing right number line with open point at 10 with arrow pointing right
The graph that represents the solution to the inequality is a number line with closed point at 10 with arrow pointing left
What is a graph?You should be aware that inequality is is a mathematical statement showing that two opposite things are not equal. The graph is a diagram that illustrates the statement.
The given inequality is 2(b + 2) > 24
Opening the brackets to get
2b+4≥24
2b≥24-4
This implies that 2b≥20
Making b the subject
b≥20/2
b≥10
Therefore, the graph is a number line with closed point at 10 with arrow pointing left
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Why do all exponential functions go through 0 1?
All exponential functions go through the point (0,1) because the value of x when it equals to 0, in the general form of exponential function f(x) = [tex]a^x[/tex], results in [tex]a^0[/tex] = 1, which is why all exponential functions have the point (0,1) on their graph.
All exponential functions go through the point (0,1) because of the properties of exponential functions. The general form of an exponential function is f(x) = [tex]a^x[/tex], where a is a positive constant. When x = 0, the function evaluates to [tex]a^0[/tex] = 1, which is why all exponential functions have the point (0,1) on their graph.
Another way to understand this is that the exponential function is defined as the function that describes how a quantity grows or decays at a fixed percentage rate over time. The function f(x) = [tex]a^x[/tex], where a is a constant greater than 0 and less than 1, describes the decay of a quantity over time. For example, if the interest rate is 10%, the value of a = 0.1 and the function f(x) = [tex]0.1^x[/tex]. When x = 0, the function evaluates to [tex]0.1^0[/tex] = 1, which means that the initial value of the quantity is 1.
It's important to note that the point (0,1) is called the y-intercept, and it is a special point in the graph of exponential functions, and it's always present in the graph of exponential functions.
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The complete Question is:
Why do all exponential functions go through point(0,1)?
What is the formula of factor theorem?
A polynomial f(x) has a factor (x-a) if and only if f(a) = 0, according to the factor theorem. It's one of the techniques for factoring a polynomial.
Since, the response above already covered the theorem's formulation.
Here, we shall demonstrate the factor theorem formula, which allows us to factor the polynomial.
When the polynomial f(x) is divided by (x-c), f(c) equals 0.
Remainder Theorem demonstrates that f(x)=(x-c)q(x)+f (c)
where the quotient polynomial is q(x) and the target polynomial is f(x).
Because f(c) = 0, f(x) = (x-c)q(x)+f (c)
(x-c)q(x)+0 f(x) = (x-c)q (x)
Therefore, the polynomial f's factor (x-c) exists (x).
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