Compare the graph of -6 ≤ x ≤-4 with the graph of x ≤-6 or x ≥-4.
Answer: By compare the graph of -6 ≤ x ≤-4 with the graph of x ≤-6 or x ≥-4 we can see that in first graph value is x belongs to [-6,-4] and in second graph we can see that x belongs to (-∞,-6] ∪ [-4,∞)
What does a coordinate mean in math?
a pair of values used to specify a point's position on a coordinate plane using the horizontal and vertical breakups from the two reference axes. typically represented by the pair of x-values and y-values (x,y).
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if they are 180 percent of people not satisfied with there car and there is 820 people somewhat satisfied, and 1500 people are completely satisfied. what is the percent of people who are completely satisfied with their car
Answer:
Completely satisfied with their car: 60.00%
Step-by-step explanation:
I'll assume that "180 percent of people not satisfied . ." is meant to read "180 people not satisfied . . ."
Add the people in the groups to find a total. Then divide the numeber of people in each group by the total. This will provide a decimal number which can be multiplies by 100% to give the breakdown requested.
Group Count Percent(%)
Not S. 180 7.20
Somewhat S. 820 32.80
Completely S. 1500 60.00
Total People: 2500 100.00%
2. Beth and Reena opened Basic Savings accounts on the same day. Reena's initial deposit was twice as much as Beth's. After 5 years, their combined interest earned was $21.00. What was the amount of Reena's initial deposit?
Answer:
Step-by-step explanation:
A=P(1+r/n)^nt
Let the Beth deposite is x.Here r and n will be 1.
A=x(1+1/1)^5
Similarly
B=2x(1+1/n)^nt
B=2x(1+1/1)^5
There combined interest is:
A+B=x(1+1/1)^5+2x(1+1/1)^5
21=32x+64x
21=96x
x=21/96 is the beth deposite.
2x=2*21/96 is the Reena deposite
Ms. Patel purchased some pliers, wrenches, and chisel sets for her shop. She bought twice as many pliers that cost $17. 50 each as wrenches that cost $21. 50 each. She bought 3 fewer chisel sets than pliers. How many of each tool did Ms. Patel buy if she paid a total of $141 and each chisel set costs $28?
NEED ASAP!
This comes to $141, indicating that Ms. Patel spent that money on four sets of pliers, two wrench sets, and a chisel set.
Define the meaning of the term ratios?A ratio is the relationship and comparison involving two numbers belonging to the same unit in order to determine how much larger one number is than the other.The given condition states that;
For her shop, Ms. Patel bought some sets of chisels, wrenches, and pliers. She purchased twice as many wrenches, which were $21.50 each, as she did pliers, which were $17.50 each. She purchased 3 fewer sets of chisels than pliers.Make a ratio first.
This ratio might be expressed as 4:2:1 (in pliers, wrenches, and chisels).
Then, multiply every one of these sums by their respective prices before adding them all up.
Pliers : 4 times 17.50 equals $70
Wrenches : $2 x $21.5 = $43
Chisels : 1 x 28 equals $28
Thus,
Sum = $70 + $43 + $28
Sum = $141
This amounts to $141, proving that she purchased a chisel set, two wrench sets, and four pairs of pliers.
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what is the future amount of 12,000 invested for 5 years at 14% compounded monthly?
Answer:
$24,067.32
Step-by-step explanation:
If you look up a compound interest calculator and put in the data correctly you should get $24,067.32
Show that [n-r] nPr =nP[r+1]
Using the relationship of permutation and combination, we can say that the relation [tex]${ }^n p_r=(n-\Gamma+1)^n p_{r-1}$[/tex] holds true.
What is Permutation?
The process of placing all the components of a set into a certain sequence or order is known as permutation in mathematics. In other terms, the process of permuting is the reordering of the components of a set if the set is already ordered. Nearly all areas of mathematics include permutations in some form or another. They frequently appear when various orderings on certain finite sets are taken into account.
What is Combination?
Contrary to permutations, the order of selection is irrelevant when choosing elements from a collection using the combination method. The number of combinations may be counted in simpler situations. The combination is the taking together of n items, k at a time, without repetition. The words k-selection or k-combination with repetition are frequently used to describe combinations when repetition is permitted.
In the given question:
To proof:
[tex]${ }^n p_r=(n-\Gamma+1)^n p_{r-1}$[/tex].
Let's Proof the relation:
Using the basic relation of permutation and combination, we have;
[tex]$\begin{aligned}(n-r+1){ }^n P_{r-1} &=(n-r+1) \frac{n !}{(n-r+1) !} \\ &=(n-r+1) \frac{n !}{(n-r+1)(n-r) !} \\ &=\frac{n !}{(n-r) !}={ }^n P_r \end{aligned}$[/tex]
Hence, Proved.
Therefore, we can say that the relation [tex]${ }^n p_r=(n-\Gamma+1)^n p_{r-1}$[/tex] holds true.
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Describe the relationship as parallel intersecting or skew AB or BC
Based on the image attached, the relationship are:
a). AB and BC - Both the segments are said to be perpendicular and they are intersecting at the point B.
b). AE and BF - Both segments are said to be parallel
c). EF and ED - Both are skew
d). Plane ABC and plane ABF - Both of the planes do intersect at point AB
e). Plane AED and plane BFC - Both of the given planes are known to be parallel
How do you know if lines are parallel intersecting or skew?if the ratio equality is accurate, parallel. If the lines are not parallel or if you can solve them as a system of simultaneous equations, the lines will intersect. If two crossing lines have a zero dot product, they are perpendicular.
If the lines are not parallel or intersecting, they are said to skew. Lines that are parallel never cross.
Therefore,
if lines are in the same plane, do not intersect, and are parallelif lines only meet at one point, then they are intersecting.If lines are on two distinct planes and don't intersect, they skew.Learn more about parallel intersection from
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∠1 ​ and ∠2 are complementary. m∠1=x°m∠2=(3x 30)° what is the value of x? select from the drop-down menu to correctly answer the question.
The value of x is 15
If two angles sum to 90 degrees, they are said to be complimentary angles. In other terms, a right angle is created when two complementary angles are combined (90 degrees). If the sum of angles 1 and 2 equals 90 degrees (i.e., angle 1 plus angle 2 = 90°), then the angles are complementary and are referred to as one another's complements.
∠1 and ∠2 are complementary angles i.e the sum of ∠1 and ∠2 is 90° .
Thus
∠1 + ∠2 = 90°
x° + (3x+30)° = 90°
x + 3x + 30 = 90
4x = 90-30
4x = 60
x = 15
Therefore the value of x is 15.
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What is the equation of the line that passes through the point (7,4) and has a slope of 1?
Answer:
y = x - 3
Step-by-step explanation:
Consider the equation "y = mx + b" :
y = mx + b
Since the slope is 1, you could input that into the equation:
y = (1)x + b
The variable "b" represents the y-intercept, therefore, to find the y - intercept, you would have to subtract 7 from each side of the coordinate points to get 0 as the x - coordinate to find the y - intercept:
(7 4)
-7 || -7
(0, -3)
Therefore, the y - intercept would be -3 and the equation would be:
y = x - 3
Joh rent a kayak at a nearby tate park. He pay a fee of 12. 99 plu 3. 75 for each hour that he pend in the water. How much did Joh pend if he wa on the river 4 1/2 hour
The total amount Joh spend when he was in the river for 4(1/2) hours is 29.865.
Given, Joh rent a kayak at a nearby state park.
He pay a fee of 12.99 plus 3. 75 for each hour that he spend in the water.
We have to find the amount he spend when he was in the water for 4(1/2) hours.
Total amount = 12.99 + hourly amount
Hourly amount = 3.75×4(1/2)
Hourly amount = 3.75×9/2
Hourly amount = 16.875
Total amount = 12.99 + 16.875
Total amount = 29.865
Hence, the total amount Joh spend when he was in the river for 4(1/2) hours is 29.865.
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im 68inches tall so how much is that into feet?
Answer:
5.68 ft
Step-by-step explanation:
12 inches = 1 feet
[tex]68 \: inches \: *\: \frac{1 feet}{12 \: inches} =\frac{68}{12} \: feet= 5.6777...\\\\68 \: inches \approx 5.68 \: feet[/tex]
How many inches are in 5 1/4 feet?
Answer: 63 inches
Step-by-step explanation:
Answer:
63 inches
Hope this helps :)
PLEASEE HELP ME !! Find the volume of each shape and then compare do not reduce your fractions.
Answer:
1.) 150/512 in.
2.) 64/125 in.
Step-by-step explanation:
1.) V = l x w x h That's the formula to find the volume of a rectangle
V = 6/8 x 5/8 x 5/8 in. Plug in the numbers
V = 150/512 in. Multiply
V = 75/256 in. Simplify
Since you're asked to not reduce don't write this answer. I only put it to show that it can be simplified.
2.) V = l^3 This is the formula to find the volume of a cube
V = (4/5)^3 in. Plug in the numbers
V = 64/125 in. Miltuply
the mean of a population of iq scores is 100. what is the mean of the distribution of sample means for samples of size 64?
The mean of the distribution of sample means is 100.
Considering the values provided in the question,
Population mean = 100
We know that,
The sample mean is a reliable indicator of the population mean.
That is, E( sample mean)=Mean(sample mean)= population mean
Here population mean is 100, therefore mean of distribution of sample means is also 100.
The total of all the values in a sample is known as the Sample Mean. It is a statistical metric used to examine different variables throughout time. It is calculated by statisticians and researchers by dividing the total sum of all data fragment values by the total number of data sets.
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I need help like asap !!!
only numbers and decimal points
Answer:
b = 8 ft
Step-by-step explanation:
Formula we use,
→ (AC)² = (BC)² + (AB)²
Now the value of a will be,
→ (10)² = b² + (6)²
→ 100 = b² + 36
→ b² = 100 - 36
→ b = √64
→ [ b = 8 ft ]
Hence, value of b is 8 ft.
At a math convention, nine out of eleven people are bored by cable news. If there 122 at the convention who are not bored by cable news, then how many people at the convention are bored by cable news?
A total of 549 of people at the convention are bored by the cable news
How to determine the number of people at the convention that are bored?From the question, we have the following parameters that can be used in our computation:
Not bored = 122
Bored = 9/11 of the people
This means that
Not bored = 1 - Bored
So, we have
Not bored = 1 - 9/11
Evaluate
Not bored = 2/11
Recall that Not bored = 122
So, we have
2/11 * x = 122
Where x = the number of people
This gives
x = 122 * 11/2
Evaluate
x = 671
Recall that
Bored = 9/11 of the people
So, we have
Bored = 9/11 * 671
Evaluate
Bored = 549
Hence, the number of people at the convention that are bored is 549
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Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope form is y + 1 = (x – 8).
x +
y
The equation in standard form is x - y = 9
How to determine the equation in standard form?From the question, we have the following parameters that can be used in our computation:
Points = (8, –1) and (2, –5)
Point-slope form is y + 1 = (x – 8).
Recall that the point-slope form is y + 1 = (x – 8).
So, we have
y + 1 = (x – 8)
Open the brackets
y + 1 = x – 8
Subtract 1 from both sides
y = x - 9
Rewrite as
-x + y = -9
Multiply through by -1
x - y = 9
Hence, the equation is x - y = 9
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What are the coordinates of the centroid of a triangle with vertices X(−4, 0) , Y(−1, 4) , and Z(2, 2) ?
Enter your answer by filling in the boxes.
(
,
)
The coordinates of the centroid of a triangle with vertices X(−4, 0) , Y(−1, 4) , and Z(2, 2) is; (x, y) = (-1, 2)
What are the coordinates of the triangle centroid?Centroid of a Triangle states that the center of the triangle can be calculated as the point of intersection of all the three medians of that same triangle, and that this median is a line drawn right from the midpoint of one side to the opposite vertex.
We are given the coordinate of the vertices of the triangle as;
X(−4, 0) , Y(−1, 4) , and Z(2, 2)
Now, the formula to find the coordinates of the centroid of the triangle is; (x, y) = (x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3
Thus, the coordinates of the Centroid is;
(x, y) = (-4 + (-1) + (2))/3, (0 + 4 + 2)/3
(x, y) = (-1, 2)
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From a set of whole numbers less than 25, what is the probability of getting a number either divisible by 5 or
divisible by 3?
A.) 3/5
B.) 14/25
C.) 1/5
D.) 11/25
From a set of whole numbers less than 25, the probability of getting a number either divisible by 5 or divisible by 3 is 11/25
The set of whole numbers = {0, 1,2,3,4,5.....}
The set of whole numbers less than 25 = {0,1,2,3,4,......,24}
The numbers divisible by 5 = {5, 10, 15, 20}
The numbers divisible by 3 = {3, 6, 9, 12, 15, 18, 21, 24}
The common term is 15
The probability = Number of favorable outcomes / Total number of outcomes
The number of favorable outcome = 11
Total number of outcomes = 25
Substitute the values in the equation
The probability = 11/25
Hence, from a set of whole numbers less than 25, the probability of getting a number either divisible by 5 or divisible by 3 is 11/25
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This shape is made up of one half-circle attached to a square with side lengths 16 inches. You can use 3.14 as an approximation for π.
What is the approximate perimeter of the entire shape? Solve on paper, and enter your answer on Zearn. You can use your Zearn calculator to help you solve.
The perimeter of the given figure is 89.12 inches.
Given that, the shape is made up of one half-circle attached to a square with side lengths 16 inches.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
We know that, the perimeter of square is 4a, where a is side of a square.
When, a=16
The perimeter of square =4×16
= 64 inches
We have circumference of circle = 2πr
Circumference of a semi circle= πr
Here, radius(r)=8 inches
= 3.14×8
= 25.12 inches
Total perimeter = 64+25.12
= 89.12 inches
Therefore, the perimeter of the given figure is 89.12 inches.
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A gigameter is 1.0×10^6 kilometers. How many square kilometers are in 5 square gigameters?
Write your answer in scientific notation.
The number of kilometers in 5 square gigameters is 5. 0 × 10^18
What is proportion?Proportion can be described as an expression or equation in which two ratios are made equal to each other.
It is also known as the mathematical comparison between two numbers or elements.
From the information given, we have;
1 gigameter = 1.0×10^6 kilometers
But,
5 square gigameters = 5. 1.0×10^6 . 1.0×10^6
Add the powers
5 square gigameters = 5..0×10^12
If 1 gigameter = 1.0×10^6 kilometers
Then 5. 1.0×10^12 gigameter = x
cross multiply
x = 5.0×10^12 × 1.0×10^6
x = 5. 0 × 10^18 kilometers
Hence, the value is 5. 0 × 10^18 kilometers
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Use prime factorization to find the exponent. Show all of your work in good form.
625 as a power of 5
343 as a power of 7
216 as a power of 6
169 as a power of 13
256 as a power of 4; as a power of 2
729 as a power of 9; as a power of 3
The use of prime factorization to find the exponents of the given numbers gives 625 = 5⁴, 343 = 7³, 216 = 6³, 169 = 13², 256 = 4⁴; 256 = 2⁸ and 729 = 9³; 729 = 3⁶
How to express numbers as a product of prime factors?
When a number is written as a product of its prime factors, we have the prime factorization of the number e.g 8 = 2×2×2
An exponent is defined as a way of expressing large numbers in terms of powers e.g 81 = 3×3×3×3 = 3⁴
Thus, you can use prime factorization to find the exponent of the given numbers as follows:
625 as a power of 5
625 = 5×5×5×5 = 5⁴
343 as a power of 7
343 = 7×7×7 = 7³
216 as a power of 6
216 = 6×6×6 = 6³
169 as a power of 13
169 = 13×13 = 13²
256 as a power of 4; as a power of 2
256 = 4×4×4×4 = 4⁴
256 = 2×2×2×2× 2×2×2×2 = 2⁸
729 as a power of 9; as a power of 3
729 = 9×9×9 = 9³
729 = 3×3×3×3×3×3 = 3⁶
Therefore, 625 as a power of 5, 343 as a power of 7, 216 as a power of 6, 169 as a power of 13, 256 as a power of 4; as a power of 2 and 729 as a power of 9; as a power of 3 are 5⁴, 7³, 6³, 13², 4⁴; 2⁸ and 9³; 3⁶ respectively
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in a multiple regression problem involving two independent variables, if b1 is computed to be 2.0, it means that
In a multiple regression problem involving two independent variables, if b1 is computed to be 2.0, it means that For every unit increase in x1, the predicted mean of Y rises by 2 units holding [tex]x_{2}[/tex] constant.
Given data,
Slope b1 = +2
Mutiple regression which means,
Use multiple linear regression to determine the relationship between two or more independent variables and one dependent variable.
The value of the dependent variable at a specific level of the independent variables (For instance, the crop's anticipated yield at specific levels of temperature, rainfall, and fertilizer application).
[tex]y = b_{0} +b_{1}x_{1}+b_{2}x_{2}+b_{3}x_{3}+....[/tex]
[tex]b_{1}[/tex]=2 means
The estimated mean of Y increases by 2 units for each increase of 1 unit of [tex]x_{1}[/tex], holding [tex]x_{2}[/tex] constant.
Hence, the expected mean of Y increases by two units for every unit increase in x1.
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Use number properties to simplify the following expression.
-5 + (5 + 3)
In the box below, show each step in simplifying the expression and explain which property you used in each step.
Please help me!
Also please try to make the answer as clear as you can. Thank You! <3
Answer: 3
I used PEMDAS in this explanation: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction. Also known as the order of operations
Step-by-step explanation:
-5 + (5+3) :
First, add 5+3 =8
-5+8
When adding a negative to a positive, first, switch the -5 and 8 around like so.
8 + (-5)
then turn the -5 into it's opposite and subtract ---> 5
8-5=3
Unworded explanation:
-5 + (5+3) :
-5 + 8
8 + (-5)
8-5 = 3
What is the least common multiple of 8, 29, and 22?
Answer:
1
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Write an expression to represent:
8 less than the product of 2 and x.
Answer:
(2x)-8 is the correct answer
Step-by-step explanation:
Hope this helps
10. Coach deposits $4250 in the bank and gets 2.3% simple interest. He keeps the money in the
bank for 42 months without any deposits or withdrawals. How much money will he have in the
bank after 42 months? Round to the nearest cent.
With the help of some mathematical operations, we can conclude that after 42 months, coach will have a total amount of $8,356 in his bank account.
What exactly are mathematical operations?A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.We can recall the PEMDAS steps in the following order: Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction (from left to right).So, we know that coach gets 2.3% simple interest monthly.
Now, calculate the total amount after 42 months as follows:
4250/100 × 2.3 = $97.75Then, on monthly basis, the coach gets $97.75 as interest.
Then, for 42 months:
97.75 × 42 = $4,105.5Hence, the total amount after 42 months:
4250 + 4,105.5 = $8,355.5Rounding off: $8,356Therefore, with the help of some mathematical operations, we can conclude that after 42 months, coach will have a total amount of $8,356 in his bank account.
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Correct question:
Coach deposits $4250 in the bank and gets 2.3% simple interest monthly. He keeps the money in the bank for 42 months without any deposits or withdrawals. How much money will he have in the bank after 42 months? Round to the nearest cent.
PLEASE HELP plsssssss
Find the value of x in the triangle below:
The value of x in the given triangle is x = 12 .
Angle Sum Property of the Triangle states that the sum of measure of all three sides of the triangle is 180° .
In the question ,
a triangular figure is given
in which , the measure of angle A is (6x - 19)°
the measure of angle B is [tex]=[/tex] 84°
the measure of angle C is [tex]=[/tex] (3x + 7)°
So , By Angle sum property ,
we get
∠A + ∠B + ∠C [tex]=[/tex] 180°
substituting the values of angle A, B and C ,
we get
(6x - 19)° [tex]+[/tex] 84° + (3x + 7)° [tex]=[/tex] 180°
6x - 19 [tex]+[/tex] 84 [tex]+[/tex] 3x + 7 [tex]=[/tex] 180
9x + 72 = 180
9x = 180 - 72
9x = 108
x = 108/9
x = 12
Therefore , the value of x is [tex]=[/tex] 12
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Maximum height of 32 feet after 1.25s
Step-by-step explanation: