Answer: It is 14,596.
what is the answer to 8.34x0.5
2. Use the distributive property to expand 0.05(50 + 40). (2 POINTS
100 BRAINLY POINTS FOR WHOEVER ANSWERS
Answer:
4.5
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
A square has each side equal to 2x-3. The expression that will calculate its area is:
A. 2x² + 6x + 9
B. 4x² + 9
C. 4x² + x - 6
D. 4x² - 6x + 9
E. 4x² - 12x + 9
The expression that will calculate its area is Option D. 4x² - 6x + 9.
The region is the amount that expresses the extent of vicinity on the aircraft or on a curved surface. The region of a plane vicinity or plane location refers to the area of a shape or planar lamina, whilst floor vicinity refers back to the region of an open surface or the boundary of a 3-dimensional item.
Calculation:-
side of square is given by = 2x-3
area of square = side²
= ( 2x-3)²
= 4x² + 3² - 2× 2x×3
= 4x² + 9 - 12x
The area is the quantity of area occupied by means of a two-dimensional figure. In other phrases, it's far the amount that measures the range of unit squares that cowl the surface of a closed determine. the same old unit of the vicinity is square devices that's usually represented as rectangular inches, square feet, etc.
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Write a rule to describe a transformation when a triangle hasbeen reflected over the x-axis.(x,y) →Using (-x,-y)
For a transformation that involves a reflection over the x-axis, it means the pre-image is reflected across the horizontal line.
For a reflection over the x-axis, the x coordinate remains the same while the y coordinate changes.
The rule that describes a transformation when an image has been reflected over the x-axis is:
(x, y) ==> (x, -y)
Using the pre-image (-x, -y), we have:
(-x, -y) ==> (-x, y)
For a triangle, we have:
A(-x, -y) ==> A'(-x, y)
B(-x, -y) ==> B'(-x, y)
C(-x, -y) ==> C'(-x, y)
5. Choose the correct answer.
Which theorem, term, or corollary is represented by the picture?
The picture represents isosceles triangle theorem.
From the figure :
It is represented that two sides are equal.
And the angles opposite to this two equal sides are equal.
So it is a isosceles triangle.
Isosceles triangle:
If two sides of a triangle are congruent , then the angles opposite to these sides are congruent.
Therefore the picture represents isosceles triangle theorem.
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According to a survey, 62% of Americans go on vacation each year. Two Americans are chosen from a group of 100 Americans what is the probability that one or both of the people chosen does not go on vacation each year?
Answer:
61.56%
Explanation:
Let the first American = A
• P(A goes) = 0.62
,• P(A does not) = 0.38
Let the second American = B
• P(B goes) = 0.62
,• P(B does not) = 0.38
The probability that one or both of the people chosen does not go on vacation each year
=P(A goes and B does not) or P(A does not and B does) or P(both do not)
[tex]\begin{gathered} =P(AB^{\prime})+P(A^{\prime}B)+P(A^{\prime}B^{\prime}) \\ =(0.62\times0.38)+(0.38\times0.62)+(0.38\times0.38) \\ =0.2356+0.2356+0.1444 \\ =0.6156 \end{gathered}[/tex]Therefore, the probability that one or both of the people chosen does not go on vacation each year is 61.56%.
a line that passes through the point (2,1) and is parallel to the line y = -2x + 5
A line in slope-intercept form is represented by the following equation:
[tex]\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}[/tex]Parallel lines have the same slope, then if the line is parallel to the line y=-2x+5, the slope of the parallel line would be -2 too.
Now, by the given point (2,1) and knowing the slope of the line, we can use the slope-point form of the line equation to get the slope-intercept form:
[tex]\begin{gathered} y-y_0=m(x-x_0) \\ \text{where,} \\ (x_0,y_0)\text{ is the given point} \\ m\text{ is the slope} \end{gathered}[/tex]Substituting:
[tex]\begin{gathered} y-1=-2(x-2) \\ y=-2x+4+1 \\ y=-2x+5 \end{gathered}[/tex]Notice that the parallel line would be the same original line, y=-2x+5.
Solve the compound inequality, graph the solution set, and write in interval notation. SHOW ALL STEPS! 6x - 3x + 12 or 5x – 6 > 3x + 2
Answer
- The solution of this compound inequality is x < 3 OR x ≥ 4
- The graph of this solution is attached below
- The interval notation is (-∞, 3) OR [4, ∞)
Explanation
The compound inequality to be solved is
6x - 3 < x + 12 OR 5x - 6 ≥ 3x + 2
To solve this, we solve each of the pair one at a time for the two-part solution
6x - 3 < x + 12
6x - x < 12 + 3
5x < 15
Divide both sides by 5
(5x/5) < (15/5)
x < 3
OR
5x - 6 ≥ 3x + 2
5x - 3x ≥ 6 + 2
2x ≥ 8
Divide both sides by 2
(2x/2) ≥ (8/2)
x ≥ 4
So, the solution is
x < 3 OR x ≥ 4
So, this solution says that x is less than 3, but greater than or equal to 4.
For the graph, Note that
In graphing inequality equations, the first thing to note is that whenever the equation to be graphed has (< or >), the circle at the beginning of the arrow is usually unshaded.
But whenever the inequality has either (≤ or ≥), the circle at the beginning of the arrow will be shaded.
This solution tells us that the wanted parts are numbers less than 3 and numbers greater than 4.
Also, in writing inequalities as interval, the signs (< or >) indicate an open interval and is written with the bracket () while the signs [≤ or ≥] denote a closed interval which is denoted by the brackets [].
x < 3, that is, x ranges from negative infinity to just before 3.
x < 3 is (-∞, 3)
x ≥ 4, that is, x ranges from 4 to infinity
x ≥ 4 is [4, ∞)
Hope this Helps!!!
please help The table below shows the probability distribution of a random variable Y. What is the expected value of Y? Write your answer as a decimal.
Step 1. We are given a table with values for Y and their corresponding probability P(Y).
Required: Find the expected value of Y.
Step 2. First, we will label the Y values as Y1, Y2, Y3, Y4 as shown in the diagram:
And we will label the corresponding probabilities as P1, P2, P3, and P4, shown in the following diagram:
Step 3. The formula to calculate the expected value E(Y) is:
[tex]E(Y)=Y_1P_1+Y_2P_2+Y_3P_3+Y_4P_4[/tex]Step 4. Substituting the values from step 2 into the formula from step 3:
[tex]E(Y)=(14)(0)+(15)(0.6)+(16)(0.3)+(17)(0.1)[/tex]Solving the operations:
[tex]\begin{gathered} E(Y)=0+9+4.8+1.7 \\ E(Y)=15.5 \end{gathered}[/tex]The expected value is 15.5
Answer: 15.5
Light intensity (I) is proportional (a) to the inverse square of distance (d) of a subject from a lightsource. The relationship in intensities for subjects at different distances from the same source canbe likewise seen as a ratio or proportional relationship.I x 1 1A proportional relationship can be mathematically expressed as follows for light intensity (I) inlumens when a subject is at the light source.=Lumens at origin or sourceSo, if a light intensity (I) is 569 lumens at the source, what is the light intensity (I) at 9 distancefrom the source,?Round the value to the nearest tenth if necessary. You do not need to include a label for lumens.Only the number, rounded to the tenth, will be necessary.
ANSWER
The light intensity is 7.0
STEP-BY-STEP EXPLANATION:
What to find? The value of the proportionality constant.
Given parameters
• Light intensity = 569 lumens
,• Distance = 9
According to the question, Light intensity (I) is proportional to the inverse square of the distance.
This can be expressed mathematically as
Let the intensity of light be represented as I
Let the distance be represented as d
[tex]I\text{ }\propto\text{ }\frac{1}{d^2}[/tex]The next thing is to introduce a constant k
[tex]\begin{gathered} I\text{ = }\frac{K\cdot\text{ 1}}{d^2} \\ I\text{ = }\frac{K}{d^2} \end{gathered}[/tex]Recall that,
I = 569 lumens
d = 9
The next thing is to substitute the parameters into the above formula
[tex]\begin{gathered} \frac{Lumens\text{ at current distance}}{\text{Lumens at origin or source}}\text{ = }\frac{1}{d^2} \\ \frac{\text{Lumens at current distance}}{\text{5}69}\text{ = }\frac{1}{(9)^2} \\ \frac{\text{Lumens at current distance}}{\text{5}69}\text{ = }\frac{1}{81} \\ \text{Cross multiply} \\ 569\cdot\text{ }1\text{ = Lumens at current distance }\cdot\text{ 81} \\ \text{Divide both sides by 81} \\ \frac{569}{81}\text{ = }\frac{Lumens\text{ at current distance }\cdot\text{ 81}}{81} \\ \text{Lumens at current distance = 7.0} \end{gathered}[/tex]Charlie subtracts two polynomials, 5x^2 – 9x^2, and says that the difference proves that polynomials are not closed under subtraction.Kate argues that the difference does in fact show that polynomials are closed under subtraction. Who is correct? Type only 'Charlie' orKate' as your answer in the box.
Charlie
Here, we want to check if polynomials is closed under subtraction or not
To check this, we proceed either ways, if the answer is same, then it is closed. If otherwise, then it is not
We have;
[tex]\begin{gathered} 5x^2-9x^2=-4x^2 \\ \\ \text{And;} \\ \\ 9x^2-5x^2=4x^2 \end{gathered}[/tex]As we can see, both results are not equal
If subtraction was closed under polynomials, then the results of both should have been equal. This means Charlie is correct.
PLEASE HELP NEED THIS NOW DUE IN AN HOUR!!
Write and simplify an expression to represent the perimeter of the triangle shown. What is the perimeter of the triangle if y equals 3 feet?
(Please show work)
The perimeter of the triangle if y equals 3 feet is 31 feet.
Given:
sides of the triangle are y+5, 4y-3 and 3y+5 feet.
y = 3 feet
Let a = y + 5 = 3+5 = 8.
so a = 8 feet.
b = 4y - 3
= 4*3 - 3
= 12 - 3
b = 9 feet.
c = 3y+5
= 3*3+5
= 9+5
c = 14 feet.
Perimeter of the triangle = a+b+c
= 8 + 9 + 14
= 17 + 14
= 31 feet.
Therefore the perimeter of the triangle if y equals 3 feet is 31 feet.
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Solve the equation. 6(s + 2) − 5s = 16 + s − 4 how many solutions are there
Answer: 0=0
Step-by-step explanation: After simplifying the equation we get 0=0, and 0=0 has infinitely many solutions.
Answer:
it has many solutions :)
10. A square pyramid is shown. The height of the pyramid is 14 centimeters. The area of the base of the square pyramid, B, is 64 square centimeters. 8 64 cm Which measurement is closest to the volume of the pyramid in cubic centimeters? F 900 cm G 450 cm M 300 cm ) 150 cm
ANSWER
The closest measurement is 300cm³
EXPLANATION
The volume of a pyramid is:
[tex]V=\frac{1}{3}Bh[/tex]where B is the ares of the base and h is the height.
In this problem, B = 64cm² and h = 14cm. The volume is:
[tex]V=\frac{1}{3}\cdot64\operatorname{cm}^2\cdot14\operatorname{cm}=298.\bar{6}cm^3[/tex]The one that's closest is 300cm³
I need help with this practice problem solving. It asks to graph the function yourselfIf you can, use desmos.
Given the function:
[tex]f(x)=\cot (x+\frac{\pi}{6})[/tex]To graph the given function, first, we will graph the parent function [ cot x]
the function [cot x] has a period of π and has an x-intercept at x = π/2
then we will make a shift to the left side by (π/6)
the graph of the function will be as shown in the following picture:
As shown, the red dot graph is the function [cot x]
and the blue graph is the given function f(x)
The number of cups of strawberries in a shortcake recipe is proportional to the number of cups of sugar in the recipe. The recipe uses 5 cups of strawberries per 1/4 cup of sugar.
PART A - What is the constant of proportionality for the relationship between cups of strawberries and cups of sugar
The constant of proportionality is 20.
What is constant of proportionality?
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
Given,
the recipe uses 5 cups of strawberries per 1/4 cup of sugar.
And let constant of proportionality is k.
that is
5 α 1/4
5 = k1/4
k = 5(4)
k = 20
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Nicolas drinks 2/3 liters of water in the morning and three 1/2 liters of water at lunch . during basketball practice, he drinks another 2/5 liter of water. what is the total amount of water in liters, that Nicolas drinks.
The total amount of water Nicholas drank is 47/ 30 liters of water.
Given : Amount of water Nicholas drinks in the morning = 2/3 liters
Amount of water he drinks at lunch = 1/2 liters
Amount of water he drinks during his basketball practice = 2/5 liters
Thus to calculate the total amount of water he drank in the whole we would you the operation of addition in which we will add all the above mentioned value.
The value which comes after adding all of the above mentioned numbers is called sum .
Thus the total amount of water Nicholas drank = 2/3 + 1/2 + 2/5
On taking the LCM we will get
= [tex]\frac{20 + 15 + 12}{30}[/tex]
= 47 / 30
Thus the total amount of water Nicholas drank is 47/ 30 liters of water.
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find the y-intercept of the graph of the linear equation 2y=x-4
The y intercept of the graph of the linear equation 2y = x - 4 is -2 obtained through the following graph.
Linear equation:
Linear equation means an equation in which the highest power of the variable is always 1 also known as a one-degree equation.
The standard form of a linear equation is ax + b = c
Given,
Here we have the linear equation 2y = x - 4.
Now, we have to find the y - intercept from this equation's graph.
In order to plot the graph for this equation we have to rewrite the given equation then we get,
=> 2y = x - 4
=> y = (x-4)/2
Now we have to take sample value for x, in order to get the table for the equation.
For that we have to take the sample value of x as -2, -1, 0, 1, and 2, then we get the table like the following.
By using the table we have to plot the graph, then the resulting graph is attached below.
Through the graph we have identified that the y - intercept is -2.
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help meeeeeeeeeeeeeee pleaseeeeeee
Answer: Width = 3.4 meters, Length = 6.4 meters
Step-by-step explanation:
If the width is [tex]w[/tex], then the length is [tex]w+3[/tex].
[tex]w(w+3)=22\\\\w^2 +3w=22\\\\w^2 +3w-22=0\\ \\ w=\frac{-3 \pm \sqrt{3^2 -4(1)(-22)}}{2(1)}\\\\w \approx 3.4 \text{ } (w > 0)\\\\\implies w+3 \approx 6.4[/tex]
84 points + brainliest if well explained and correct:
During a thunderstorm at a sports event, a detector goes off to let participants know there is lightning in the area so people can seek shelter. The accuracy of the lightning detector is summarized in the table.
Lightning detector activates Lightning detector does not activate Row Totals
Lightning in area 88% 2% 90%
No lightning in area 7% 3% 10%
Column Totals 95% 5% 100%
What is the ratio of false positives to false negatives in this scenario? Round your answer to one decimal place.
0.1
1.5
2.3
3.5
The ratio of false positives to false negatives is (d) 3.5
How to determine the ratio?The table of values is given as
Activates. Does not activate Row Totals
Lightning in area 88% 2% 90%
No lightning in area 7% 3% 10%
Column Totals 95% 5% 100%
The false negative is when there is lighting and it does not activate
So, we have
False negative = 2%
The false positive is when there is no lighting and it activates
So, we have
False positive = 7%
When represented as ratio, we have
Ratio = 7% : 2%
So, we have
Ratio = 7 : 2
This gives
Ratio = 7/2
Evaluate
Ratio = 3.5
Hence, the ratio is (d) 3.5
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What is the approximate length of the track in miles
Explanation
Opposite sides are 5 miles each and for each semicircle we have:
[tex]\frac{2\pi *\frac{1}{2}}{2}=\frac{\pi}{2}\text{ miles}[/tex]Then the lenght of the track is:
[tex]5+5+\frac{\pi}{2}+\frac{\pi}{2}=10+\pi[/tex]Approximately 13.1416 miles
The length of a rectangle is 3 more than twice the width. Which of the following represents the length of the rectangle if the perimeter is 42 inches? 2(x) +2(2x+3)=42
Answer:
Step-by-step explanation: if the width is x then the length is 2x+3
The perimeter is 2x+2(2x+3)=42
then 6x+6=42
6x=36
x=6
Then the length is 2*6+3=15
-. Write an equation in slope-intercept form that
describes the line through the points (2,7) and
(-1,-5).
The slope-intercept form equation of the line is y=(-2/3)x-(17/3) when the line is passing through the points (2,7) and (-1,-5).
What is meant by slope?Finding the ratio of vertical change to horizontal change between any two distinct points on a line yields the slope. Occasionally, the ratio is written as a quotient, which produces the same number for every two distinct points on the same line. A negative rise refers to a diminishing line. The line could be functional, set by a road surveyor, or depicted in a diagram that represents a road or a roof as a description or a plan.
The absolute value of the slope is used to determine how steep, incline, or grade a line is. The steeper the line, the larger the absolute magnitude of the slope.
The slope-intercept form is y=mx+c
Given points are (2,7) and (-1,-5)
Slope m= (y₂-y₁)/(x₂-x₁)
m=(-5+7)/(-1-2)
m=-2/3
By substituting m value in the above equation we get,
y=(-2/3)x + c
Given that, the above equation is passing through the point (-1,-5)
-5=(-2/3)(-1)+c
c=-5-(2/3)
c=-17/3
y=(-2/3)x-(17/3)
Therefore, the equation of the slope-intercept form is y=(-2/3)x-(17/3)
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Find sin ^-1 (-1/2). Write both angles for full credit
sin^-1 (-1/2) is 30 degrees measured from the x-axis in the clockwise direction, that is, in the fourth quadrant.
What is trigonometry ?Trigonometry is one of the important branches in the history of mathematics that studies the relationship between the sides and angles of right triangles. This concept comes from the Greek mathematician Hipparchus. In this article, we will discuss trigonometric functions, ratios, trigonometric tables, Trigonometry is one of the most important branches of mathematics and has wide applications in many fields. The Department of Trigonometry is basically concerned with studying the relationship between the sides and angles of a right triangle. Therefore, trigonometric formulas, functions, or trigonometric identities can help you find missing or unknown angles or sides in right triangles. In trigonometry, angles can be measured in degrees or radians. The most commonly used trigonometric angles for calculations are 0°, 30°, 45°, 60°, and 90°. Trigonometry is further divided into two sub-branches.This article describes six important trigonometric functions, ratios, trigonometric tables, formulas, and identities to help you find the missing angles and sides of right triangles.In light of the question -The below figure serves as a reference for quickly determining the sines (y-value) and cosines (x-value) of angles that are commonly used in trigonometry. As can be seen from the figure, sine has a value of 0 at 0° and a value of 1 at 90°. Cosine follows the opposite pattern; this is because sine and cosine are cofunctions (described later). The other commonly used angles are 30° (), 45° (), 60° () and their respective multiples. The cosine and sine values of these angles are worth memorizing in the context of trigonometry, since they are very commonly used.
One method that may help with memorizing these values is to express all the values of sin(θ) as fractions involving a square root. Starting from 0° and progressing through 90°, sin(0°) = 0 = . The subsequent values, sin(30°), sin(45°), sin(60°), and sin(90°) follow a pattern such that, using the value of sin(0°) as a reference, to find the values of sine for the subsequent angles, we simply increase the number under the radical sign in the numerator by 1, as shown below.
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which value of x below will solve equation 3/4x+10=4
3/4x+10=4
Then solve for x
3/4x = 4 - 10
x = (4-10)/(3/4)
. = -6/3/4
. = -24/3
. = -8
In consecuence , answer IS
x= -8
Proportions: Aubrey's car used 2 gallons to travel 90 miles. How far can she travel on 11 gallons?
Answer:
495 gallons
Step-by-step explanation:
2= 90
11=?
90×11÷2
= 495 gallons
help fast!!!!!!! i need help
........
Step-by-step explanation:
What is the equation for this please help
Answer:
the equation would be 1.67x+0
Lyle uses a streaming service to watch movies. Last month he paid $26.91 and watched 9 movies. If he watches 11 movies this month, how much will he pay the steaming service?
A. $32.89
B. $26.91
C. $2.99
D. 3.68
Answer:
A. $32.89
Step-by-step explanation:
Take the amount and divide by the number of movies watched
26.91 / 9 =2.99
Now multiply by the new number of movies he wants to watch, 11
2,99 *11
32.89
Answer:
A) $32.89
Step-by-step explanation:
We divided 26.91 by 9 to find how much it is per movie
26.91/9
2.99
It is 2.99 for 1 movie so now we multiply by 11 to find all 11 movies price
2.99x11
$32.89
Hopes this helps please mark brainliest if you would like to learn cross multiply way just let me know
twelve more than two times a
number is twenty-two
Answer:
5 is the number
Step-by-step explanation:
2x + 12 = 22
2x+12-12 = 22-12
2x = 10
2x÷2 = 10÷2
x=5
Plug x back in the equation and check the answer.
2(5)+12 = 22
10+12 = 22
22=22
It checks out!
