The area of the quadrilateral ABCD is equal to 12 square units.
How to determine the area of the parallelogram
In this question we find a parallelogram, of which a pair of parallel sides is parallel to the x-axis. The area of the parallelogram is equal to the product of its base and its height. The quadrillateral ABCD has a base of 6 units and the height is 2, and the area of the quadrillateral is equal to:
A = 6 · 2
A = 12
The area of the quadrilateral ABCD is equal to 12 square units.
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1. Determine how much is taken out annually in Federal Taxes along with Social Security and Medicare for a base salary of $51,000. You are filing taxes in April, 2022.
The amount that is taken out in federal taxes is $6,968.50. The amount taken for Social security is $3,162. And the amount for Medicare is $739.50.
What are the federal taxes?For person earning an annual salary of $51,000, the federal tax in April, 2022 will be:
= 4,664 + 22% of income over $40,525
= 4,664 + (22% x (51,000 - 40,525))
= $6,968.50
Social security is:
= 6.2% x 51,000
= $3,162
Medicare taxes:
= $739.50
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The figure is made up of two semicircles. Find the perimeter of the shaded region using 3 . 143.14 for \mathrm{\pi }π.
Answer:
69.66 cm
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4.3 cm}\underline{Circumference of a circle}\\\\ $C=\pi d$\\\\where $d$ is the diameter\end{minipage}}[/tex]
From inspection of the given diagram:
Diameter of the larger circle = 5 + 14 + 4 = 24 cmDiameter of the smaller circle = 14 cmThe perimeter of a two-dimensional shape is the distance all the way around the outside.
Therefore, the perimeter of the given shaded region is the sum of half the circumference of the larger circle, half the circumference of the smaller circle, and the two 5 cm ends.
[tex]\begin{aligned}\sf \implies Perimeter & = \sf \dfrac{1}{2} \pi (24) + \dfrac{1}{2} \pi (14) + 5 + 5\\& = \sf \dfrac{1}{2}(3.14)(24) + \dfrac{1}{2}(3.14)(14) +10\\& =\sf 37.68+ 21.98+10\\& =\sf 69.66\:\:cm\end{aligned}[/tex]
Therefore, the perimeter is 69.66 cm.
The perimeter of the shaded region is 12.56 times the radius of one of the semicircles.
To find the perimeter of the shaded region, we need to find the total length of all the boundaries.
The shaded region consists of two semicircles, so we can start by finding the circumference of each semicircle.
The formula for the circumference of a circle is C = 2πr.
Since we have two semicircles, we need to find the radius for each and then add the two circumferences together to get the total perimeter.
Let's say the radius of each semicircle is r.
Using the given value of π as 3.14,
the circumference of one semicircle is 2 * 3.14 * r = 6.28r.
Therefore, the total perimeter is 6.28r + 6.28r = 12.56r.
So, the perimeter of the shaded region is 12.56 times the radius of one of the semicircles.
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what is 2 + 2
a.0
b.69
c.80085
d.106
e.200000000/100000000
Answer:
e
Step-by-step explanation:
just use a calculator for these questions
When the following quadratic equation is written in general form, what is the value of "c"?
-3/4 x^2 + 2 = 0
-8
-2
-6
Unlimited
Answer:
the answer is
Step-by-step explanation:
c= -6
hope this help
Help I don’t understand this
Answer:
Part A: Run=4 Rise= 8
Part B: Run=1 Rise=2
Step-by-step explanation: When counting run, count the boxes on the x axis (count how many boxes it goes to the left/tight) When counting rise, count the boxes on the y axis (Count how many boxes it goes up)
Note: Answer may be a number off. Couldnt see picture well
leo drew a line that is perpendicular to the line shown on the grid and passes through point f g. which of the follwoing is the equation of leos lins
The equation that is perpendicular to the line that is drawn by Leo will be C. y - G = -1/2(x - F)
How to illustrate the information?Based on the information given, it should be noted that the slope of the line from the graph will be:
m = y intercept/ x intercept
= 2
The like is also passing through the coordinates (F, G).
Therefore, the appropriate equation will be y - G = -1/2(x - F).
In conclusion, the correct option is C.
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Leo drew a line that is perpendicular to the line shown on the grid and passes through point (F, G). Which of the following is the equation of Leo's line?
A) y - F = -2(x - G)y
B) y + F = 2(x + G)
C) y - G = -1/2(x - F)
D) y - G = -1/2(x + F)
Sunset High School has 500 students, and 400 of them are right-handed. The percent proportion is 400/500 = n/100. What percent of students are right-handed?
Answer:
80 percent of the students are right handed while the 20 percent are left handed
Answer: A
400/500=n/100
or 80%
Step-by-step explanation:
One ratio should represent the numbers of students, and the other ratio should show the percent out of 100.
There are 400 right-handed students out of 500; this ratio is 400/500
The percent, n, is unknown, so this ratio is n/100
the process of making estimates and drawing conclusions about one or more characteristics of a population through analysis of sample data drawn from the population is known as . a. deductive inference b. statistical inference c. inductive inference d. bayesian inference
The process of making estimates and drawing conclusions about one or more characteristics of a population through analysis of sample data drawn from the population is known as statistical inference.
What is statistical inference?
Inferential statistical analysis infers attributes of a population, for instance by testing hypotheses and generating estimates. Statistical inference is the process of employing data analysis to infer properties of an underlying probability distribution. The observed data set is thought to be a sample of a broader population. Comparable to descriptive statistics is inferential statistics. The focus of descriptive statistics is exclusively on the characteristics of the observed data; it is not predicated on the idea that the data are representative of a wider population. In machine learning, the phrase "create a prediction by evaluating an already trained model" is commonly used instead of "infer." Statistical inference uses data that has been sampled from a population to make claims about that population.
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two ships leave a harbor at the same time. the first ship heads north at 20 miles per hour, and the second ship heads west at 15 miles per hour. write an expression that gives the distance d between the ships after t hours.
According to the statement 25t is the distance between the ships after t hrs.
What is Pythagorean theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that perhaps the area of something like the square on which side would be the hypotenuse is equivalent to the sum of something like the areas of the squares on each of the other two sides.
What Is the Pythagorean Theorem Formula Good For?The Pythagorean theorem is only valid for right-angled triangles. When any two numbers are known, we can use Pythagoras' theorem to compute the unknown sides of something like the triangle. Other real-world applications of Pythagoras' theorem include engineering and architecture.
According to the given information:The first ship travels north at 20 kilometers an hour, while the second travels west at 15 miles per hour.
equation for the given distance between boats after t hours:
Using Pythagoras formula:C² = a² + b²
C = √(a² + b²)
a = dist. traveled in t hrs. of the 1st ship.
b = dist. traveled in t hrs. by 2nd ship.
c = dist. between the two ships after t hrs. (d)
Using formula Distance = speed * time (t)
d = √((20t)²+(15t)²)
d = √(625t²)
d = 25t is the distance between the ships after t hrs.
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A school's K-Pop club is learning a new dance to a Korean pop song. They pay the dance
teacher from their bank account, which showed three changes this week.
First, a $60 withdrawal was represented using the number - 60.
• The second change was the opposite of the first.
• The third change was the opposite of the second.
What number represents the third change made to the account?
●
Type the number in the box.
The number which represents the third change made to the account according to.tge task content is; -60.
What number represents the third change made to the account?According to the task content, the second change was the opposite of the first, -60.
Hence, the second change is; +60 which is the additive inverse.
Ultimately, since the third change was the opposite of the second, it follows that the third change is; -60.
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) Samantha bought 2 burgers for $3.50 each and 3 medium French fries for $1.20 each. Write a numerical expression to represent this situation and then find the cost.
Answer:
$10.60
Numerical expression:
($3.50 x 2 ) + (3 x $1.20)
= $7 + $3.60
= $10.60
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the points $(1,-2)$ and $(-4,10)$ are adjacent vertices of a square. what is the perimeter of the square?
The perimeter of the square is 52 units.
In this question,
the points (1, -2) and (-4, 10) are adjacent vertices of a square.
We need to find the perimeter of the square
The side length of a square is the distance between given two points.
Let a be the side length of the square.
[tex]a=\sqrt{(-4-1)^2+(10-(-2)^2)}\\\\ a=\sqrt{25+144}\\\\ a=\sqrt{169}\\\\ a=13[/tex]
The side length of the square is 13 units.
so, the perimeter of a square would be,
P = 4a
P = 4 × 13
P = 52 units
Therefore, the perimeter of the square is 52 units.
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45 40 36 38 42 48 40 40 70 45 42 43 48 36 what is the mean
Answer:43.8
Step-by-step explanation:
add up all of the numbers then divide the number by the number of numbers u had in the beginning. Hope this helps! Let me know if you need more explaining !
The scale of a map is 1 in.: 15 mi. Find the actual distance corresponding to the map distance.
The distance on the map is 4.5 in..
The actual distance is
mi.
The given scale for the map is 1 in. : 15 mi., gives the actual distance corresponding to the map distance of 4.5 in. as 67.5 mi.
In the question, we are given that the scale of a map is 1 in.: 15 mi.
We are asked to find the actual distance corresponding to the map distance, given the map distance is 4.5 in.
The scale given to us is 1 in. : 15 mi.
This means that 1 inch on the map represents 15 mi. in the actual case.
Thus, the actual distance corresponding to the map distance of 4.5 in. is 15 * 4.5 mi. = 67.5 mi.
Thus, The given scale for the map is 1 in. : 15 mi., gives the actual distance corresponding to the map distance of 4.5 in. as 67.5 mi.
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8/9 mius -2/3 is how much
Answer:
1,56
Step-by-step explanation:
8/9minus-2/3
=8/9+2/3
(- multiply by - = +)
=24+18/27
=41/27
=1,5
Find an equation of the tangent line to the following curve at the given point. y = e6x cos x, (0, 1)
An equation of the tangent line to curve [y = e⁶ˣ cos x] at the given point (0, 1) is y = x + 6.
What is tangent line?At a given point, the tangent line of a curve is a line that really just contacts the curve (function). In calculus, the tangent line may connect the curve at any other point(s), and it may also cross the graph at any other point(s).
Now, as per the given question;
Because of this, point (0,1) is a tangent point;
y = f((0) = e⁰cos0 = 1.
We differentiate to get the slope of the tangent line m. Tangent line equation:
y' = 6e⁶ˣcosx - e⁶ˣ sinx;
Thus, the slope of the curve becomes;
m = f'(0) = 6.
Substituting the values of slope and coordinates (0, 1).
y = 6 + 1(x - 0),
Simplifying the equation.
y = x + 6
Thus, the equation of the tangent line to the given curve is y = x + 6.
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Brianna is keeping track of how much money she saves.
She has $60 saved and saves another $15 each week.
How long will it take Brianna to save enough to buy a pair
of $180 sneakers? Show or explain your thinking.
Does anyone know this answer??
Answer:
Whole numbers
Step-by-step explanation:
Integers and whole numbers are similar, but integers contain negatives and whole numbers do not. Since a city cannot have a negative population count, we'd prefer whole numbers.
Rational numbers allow for non-whole numbers, but again, a city can't havea population of something and a half person. We again prefer whole numbers.
Answer:
Whole Numbers
Step-by-step explanation:
So cities Have complete number the represent it so integers are negative numbers and fractions and rational numbers are fractions so whole number is the only number that are complete and is not a fraction so therefore the only answer it could be is whole numbers
What three numbers make up 24
Answer:
8, 8, and 8 make up 24.
A recipe called for using 5 1/8 cups of flour before baking and another 8 7/9 cups after baking. What is the total amount of flour needed for the recipe?
The total amount of flour needed for the recipe is 13 65/72 cups
How to calculate the amount needed for the recipe ?A recipe needs 5 1/8 cups of flour before baking
The recipe also needs another 8 7/9 cups of flour after baking
The total amount of flour used for the recipe can be calculated by adding both amount of cups used.
= 5 1/8 + 8 7/9
= 369+632/72
= 1001/72
Convert to a mixed fraction
13 65/72
Hence the total amount of flour needed for the recipe is 13 65/72 cups
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find the equation of a line that goes through points (8,-9) and (-4,15)
Answer: y=-2x+7
Step-by-step explanation:
The equation of a line
[tex]\displaystyle\\\boxed {\frac{x-x_1}{x_2-x_1}=\frac{y-y_1}{y_2-y_1} }[/tex]
(8,-9) (-4,15)
x₁=8 x₂=-4 y₁=-9 y₂=15
[tex]\displaystyle\\\frac{x-8}{-4-8} =\frac{y-(-9)}{15-(-9)} \\\\\frac{x-8}{-12}=\frac{y+9}{15+9} \\\\\frac{x-8}{-12}=\frac{y+9}{24}[/tex]
Let's multiply both parts of the equation by 24:
[tex]\displaystyle\\\frac{24(x-8)}{-12} =y+9\\\\-2(x-8) =y+9\\\\-2x+16=y+9 \\\\-2x+16-9=y+9-9\\\\-2x+7=y\\\\Thus,\\\\y=-2x+7[/tex]
If you were to roll the dice one time what is the probability it will not land on a 1
Answer:
5/6
Step-by-step explanation:
Answer: 5/6
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
It will land on 1, Prob (land on 1) = 1/6
It will not land on 1, the probability will be given as:
Prob (not land on a 1) = 1 - 1/6
Prob (not land on a 1) = 5/6
Hence the probability that it will not land on a 1 is 5/6
Can yall do this for me pls?
I can give you a Brainliest for free :D
Answer:
1. 6.9×10^6, 2. 3.8×10^1, 3. 8.19×10^-2, 4. 14.175×10^4,5. 0.2375×10^13,6. 3.75×10^-16
Step-by-step explanation:
1.3.9×2.3×10^2×10^4
=6.9×10^6
2.4.18×9×10^4×10^-6
=3.8×10^1
3.9.75×8.4×10^4×10^-6
=8.19×10^-2
4. 9.45/1.5×10^10/10^6
=14.175×10^4
5.1.14/4.8×10^5/10^-8
=0.2375×10^13
6.9/2.5×10^-11/10^4
=3.75×10^-16
please answer all of them with show work! the questions are together.
Answer:
20: Pattern 8.
21: n * n = 64
Step-by-step explanation:
8*8=64, so assuming that n is the missing variable, if we use 8 in place of n, we have 64, the "equals (=)" value will always change depending on n's value. So assuming n is equal to 8, 8*8=64
there are (36)2⋅ 30 candies in a store. what is the total number of candies in the store? (5 points) group of answer choices 312 33 38 34 next
The total number of candies in the store is 312. It is obtained by using the concept of exponent and power on the given problem.
What is an Exponent?
The number of times a quantity is multiplied by itself is referred to as an exponent or power of the given quantity. For eg: 25, where 5 is an exponent or power of 2 and 2 is called the base of exponent 5. Any quantity raised to the power 0 always returns 1 as result.
Calculation of the total number of candies in the store
(36)2 * 30
Using the properties of an exponent, we have
A number with an exponent of 0 always gives 1
(36)2 * 1
(3)6×2 * 1
312 * 1
312
Thus, the total number of candies in the store is 312.
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3. BUSINESS Katherine spends $700.50 each month for rent and supplies to run her hair salon. If she charges $15 for a haircut, how many haircuts must Katherine do to cover her monthly expenses? Find the decimal answer then, round to the nearest whole number.
Answer: about 47 haircuts
. assume that the box contains 5 balls: 3 green, 1 white, and 1 red. balls are drawn in succession without replacement, and their colors are noted until a green ball is drawn.
(a)white, green, green, green, blue or green, white, green, green, blue, green, green, white, green, blue, or a green, green, green, white
(b)14 outcomes.
What is sample space?There are many situations where we cannot forecast the results with certainty, but we can always state all the possible outcomes, such as when we toss a coin or roll a die. We refer to these occurrences as random phenomena or random experiments. These kinds of random events or experiments typically include probability theory. What, though, is a sample space? A sample space for the experiment is a collection of all such potential outcomes. In other terms, the sample space, which is typically represented by the letter S, is the collection or set of potential outcomes in a random experiment. When doing a random experiment, the sample space is represented.
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I need the answer.????????
Answer: 60%
Step-by-step explanation:
1=100%
0.6=0.6*1
0.6=0.6*100%
0.6*100%=60%
Find the range of each function for the given domain
F(x) = 6x - 1; D = [0, 2, 4} R={
Answer:
d. 61²-1-2 f. 6x² -17x+10. (6x-5Xx-2) i. 20x³ +8x²y-5xy² - 2y³. 4x² (5x+2y) - y² (5x+2y) ... r=0 r=4 r= {0,4} d. 3x³ +2x²-27x-18=0 x²(3x+2)-9 (3x+2) = 0.
9 pages
Step-by-step explanation:
Can someone help me please.
Answer:
1 is 6.45
Step-by-step explanation:
3.25+1.55+1.65=6.45