Answer: 20 square cm
Step-by-step explanation:
The area of the entire triangle is \(\frac{1}{2}(4+4)(5+2)=28\)
The area of the rectangle is 4(2)=8.
Subtracting the areas, we get an area of 20 square cm
What is the domain of g?
A. -7 ≤ x ≤ 4
B. -4 ≤ x ≤ 8
C. The x-values -4, -3,0,2, and 8
D. The x-values -7, -4,0,3, and 4
Answer:
A choice.
Step-by-step explanation:
Domain starts at x = - 7 and ends at x = 4. The domain from the graph is also continuous. Therefore, we can rule out C and D.
B is not correct as domain starts from x = -7 and not x = - 4.
combine like terms to find the answer.
Answer: 9m + 5y + 1
Step-by-step explanation:
3 + 6m + -2y - 2 + 3m + 7y
3 + -2 = 1
1 + 6m + -2y + 3m + 7y
-2y + 7y = 5y
1 + 6m + 5y + 3m
6m + 3m = 9m
9m + 5y + 1
Answer:
1+9m+5y
Step-by-step explanation:
Use the unit circle to find the value of sin (-90)
The value of Sin(90) is equal to 1.
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here: Sin(90) and to find the value using the unit circle
Rotate ‘r’ anticlockwise to form a 90° angle with the positive x-axis.
The sin of 90 degrees equals the y-coordinate(1) of the point of intersection (0, 1) of unit circle and r.
The value of sin 90 degrees can be calculated by constructing an angle of 90° with the x-axis, and then finding the coordinates of the corresponding point (0, 1) on the unit circle. The value of sin 90° is equal to the y-coordinate (1). ∴ sin 90° = 1.
Hence, Sin (90) is equal to 1.
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Decide whether it would be more convenient to solve the system of equations by substitution or elimination.
{−2x/3−15y=−6, 10x−6y=−4
Select the correct answer below:
elimination
substitution
Answer:
I would use elimination in this scenario. Because in both equations there is a coefficient on both variables, it would be difficult to isolate one variable and would leave the equation as a fraction. Instead, use elimination. Multiply the first equation by -15, which changes it to 10x + 225y = -90, and then subtract the second equation, thus cancelling out the 10x's and letting you solve for Y. Hope this helps!
HEEEEEEEEEEELP MEEEEEEEEEEEEEEEEEEEE
Answer:
Step-by-step explanation:
(a) To determine if the relationship between the amount of dry ingredients and the amount of wet ingredients is proportional, we need to check if the ratios of dry to wet ingredients are the same for each row of data. Let's calculate the ratios for the first three rows:For 2.5 cups of dry ingredients and 12.5 oz of wet ingredients:
Dry/wet = 2.5/12.5 = 0.2For 12.5 cups of dry ingredients and 15 oz of wet ingredients:
Dry/wet = 12.5/15 = 0.83For 3 cups of dry ingredients and 25 oz of wet ingredients:
Dry/wet = 3/25 = 0.12
Since the ratios are not the same for each row of data, we can conclude that the relationship between the amount of dry ingredients and the amount of wet ingredients is not proportional.(
b) We can set up a proportion using one of the ratios from part (a) to find the amount of dry ingredients needed for 7.5 oz of wet ingredients:
Dry/wet = 2.5/12.5Dry/7.5 = 2.5/12.5Dry = (2.5/12.5) * 7.5Dry = 1.5
Therefore, 1.5 cups of dry ingredients are needed for 7.5 oz of wet ingredients.
a
yes. the dry ingredient amount is always five times the amount of the wet ingredients in oz.
12.5/2.5 = 5
15/3 = 5
25/5 = 5
b
5 * 7.5 = 37.5
note that because the units remain the same, we are able to continually use multplying by 5 to find the amount in cups from the amount in oz. you could change cups to oz, but you would get a different number that you multiply by for using oz wet ingredients to oz dry ingredients.
hope this helps,
Jeron
:)
Determine if the situation is LINEAR or EXPONENTIAL.
• A hotel cost $120 for the first night, then $75 each additional night
Answer:
Liner
Step-by-step explanation:
The cost after the first night is steadily increasing at $75
find the domain and range of each f(x)^ * = 1 + x ^ 2
The function f(x)* = 1 + x^2 is defined for all real numbers x, so the domain is all real numbers, or (-∞, ∞).
How to explain the domainIn determining the function's output values, one must consider its collection of feasible results to extract the range. Reviewing f(x)* exhibits a minimum value of 1 due to x^2 being perpetually non-negative, while adding another factor merely preserves positivity.
Concurrently as x skyrockets, so too does the value of f(x)* given that approaching infinity generates infinitely larger powers than any constant coefficient subordinated by it. Consequently, the overall range of f(x)* becomes [1, ∞), enwrapping all feasible solutions equivalent or superior to 1.
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Use the graph of f to evaluate the following
The average rate of change of f from 2 to 5
By using the graph, the average rate of change of the function f from 2 to 5 is equal to -1.
How to determine the average rate of change?In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by this mathematical expression:
Average rate of change = [f(b) - f(a)]/(b - a)
Next, we would determine the average rate of change of the function f from the graph over the interval [2, 5]:
a = 2; f(a) = 4
b = 5; f(b) = 1
Substituting the given parameters into the average rate of change formula, we have the following;
Average rate of change = (1 - 4)/(5 - 2)
Average rate of change = -3/3
Average rate of change = -1.
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heeeeeeeeeellllllllllppppppppppppp
Answer:
AB = 28 , BC = 17.5 , X = 13.2
Step-by-step explanation:
since the figures are similar then the ratios of corresponding sides are in proportion, that is
\(\frac{AB}{PQ}\) = \(\frac{AD}{PS}\) ( substitute values )
\(\frac{AB}{8}\) = \(\frac{14}{4}\) ( cross- multiply )
4 AB = 8 × 14 = 112 ( divide both sides by 4 )
AB = 28
and
\(\frac{BC}{QR}\) = \(\frac{AD}{PS}\) ( substitute values )
\(\frac{BC}{5}\) = \(\frac{14}{4}\) ( cross- multiply )
4 BC = 5 × 14 = 70 ( divide both sides by 4 )
BC = 17.5
similarly for the 2 similar figures
\(\frac{x}{6}\) = \(\frac{11}{5}\) ( cross- multiply )
5x = 6 × 11 = 66 ( divide both sides by 5 )
x = 13.2
Answer:
\(\overline{AB}=28\)
\(\overline{BC}=17.5\)
\(x=13.2\)
Step-by-step explanation:
Question 4If quadrilateral PQRS is similar to quadrilateral ABCD, their corresponding sides are in the same ratio:
\(\overline{PQ} : \overline{AB} = \overline{QR} : \overline{BC} = \overline{RS} : \overline{CD} = \overline{SP}:\overline{DA}\)
From inspection of the two quadrilaterals, the given side lengths are:
\(\overline{PQ} = 8\)
\(\overline{QR} = 5\)
\(\overline{RS} = 6\)
\(\overline{SP} = 4\)
\(\overline{DA} = 14\)
Substitute these into the ratio equation:
\(8 : \overline{AB} = 5 : \overline{BC} = 6 : \overline{CD} = 4:14\)
Solve for AB:
\(8 : \overline{AB} = 4:14\)
\(\dfrac{8}{\overline{AB}}= \dfrac{4}{14}\)
\(8 \cdot 14=4 \cdot{\overline{AB}}\)
\(\overline{AB}=\dfrac{8 \cdot 14}{4}\)
\(\boxed{\overline{AB}=28}\)
Solve for BC:
\(5 : \overline{BC} = 4:14\)
\(5 \cdot 14=4 \cdot \overline{BC}\)
\(\overline{BC}=\dfrac{5 \cdot 14}{4}\)
\(\boxed{\overline{BC}=17.5}\)
\(\hrulefill\)
Question 5Assuming the two figures are similar, their corresponding sides are in the same ratio. Therefore:
\(x:6=11:5\)
\(\dfrac{x}{6}=\dfrac{11}{5}\)
\(x=\dfrac{11 \cdot 6}{5}\)
\(x=\dfrac{66}{5}\)
\(\boxed{x=13.2}\)
is (24, 7, 25) a Pythagorean triple?
is (24, 7, 25) a Pythagorean triple?
Step-by-step explanation:
No
At your college, there is a school-sponsored website that matches people looking for roommates. The school claims that 36% of students will find a match their first time using the site. You are a writer for the school newspaper and are suspicious of the claim. To test it, you decide to perform a hypothesis test. To do so, you choose a random sample of 160 students who visited the site looking for a roommate. Of the students surveyed, 48 said they found a match their first time using the site. You confirm that it is appropriate to perform a Z-test. Why is a Z-test appropriate? Find z, the value of the test statistic for your Z-test. Round your answer to three or more decimal places. ZE = 0 5 ?
A Z-test is any statistical test for which the distribution of the test statistic under the null hypothesis can be approximated by a normal distribution and he value of the test statistic for your Z-test is 3.1111
Given :
You are a writer for the school newspaper and are suspicious of the claim. To test it, you decide to perform a hypothesis test. To do so, you choose a random sample of 160 students who visited the site looking for a roommate. Of the students surveyed, 48 said they found a match their first time using the site.
we know that ,
z = x - μ / σ
= 160 - 48 / 36
= 112 / 36
= 3.1111
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There are 6 times as many cats as dogs.There are 21 dogs and cats in all. How many dogs are there
Answer:
3
Step-by-step explanation:
let thenumber of dogs=x
number of cats=6x
x+6x=21
7x=21
x=21/7=3
find the coordinates of the points of intersection of the graph y=13-x with the axes. Find the area of the right triangle formed by this line and the coordinate axis
Answer:
Y(0,13)
X(13,0)
This shows a number line. Which point is located at 90 ?
Answer:
incomplete question bru
Choose the best estimate for the quotient.
8.23 divide by 65.29
A) 7
B) 8
C) 9
D) 10
Answer:
8
Step-by-step explanation:
65.29/8.23≈7.933
7.933 rounds to 8
PLEASE HELP ITS MULTIPLE CHOICE i’ll mark brainliest too!!
Step-by-step explanation:
For the left end of the function, it moves up towards positive infinity.
For the right end of the function, it movea down towarda negative infinity.
Therefore as x approaches -infinity, y approaches +infinity and as x approaches +infinity, y approaches negative infinity. (2nd option)
Find the average rate of change of each function on the interval specified in simplest form. Do not type your answer in factored form and do not type any spaces between characters. p(x)=3x+4 on the interval [2,2+h]The average rate of change is Answer
Given:
The function is,
\(p\mleft(x\mright)=3x+4\)To find the average rate of change on the interval [2,2+h],
\(\text{Rate of change=}\frac{p(b)-p(a)}{b-a}\text{ on the interval \lbrack{}a,b\rbrack}\)9. Environmental Glass Products, Inc. wants to build a new centralized facility to receive household, commercial, and industrial glass for recycling. This center will be supplied by trucks coming from four "collection points," where recyclable glass is dropped off by individuals and businesses. The volume and the map coordinates for the four collection centers are shown below. Where should the collection center be located?
Collection point Load (X,Y) Coordinates
A 9,000 (4,8)
B 4,000 (7,2)
C 2,000 (4,1)
D 5,000 (7,3)
Answer:
the collection center should be located at Collection Option (D).
Step-by-step explanation:
To determine the best location for the collection center, you can calculate the average coordinates of the four collection points and choose the location that is closest to this average.
To calculate the average coordinates, you can add the coordinates of each collection point and divide the result by the number of collection points. For example, to find the average X coordinate, you can add the X coordinates of all four collection points and divide by 4. Similarly, to find the average Y coordinate, you can add the Y coordinates of all four collection points and divide by 4.
Using this method, the average coordinates for the four collection points are (5.75,3.25). The collection point that is closest to these average coordinates is Collection Point D, which is located at (7,3). Therefore, the collection center should be located at Collection Point D.
I hope this helps to clarify the process for determining the best location for the collection center. Please let me know if you have any other questions.
The animal shelter requires 1 pound of food for every 3 animals. This directly proportional relationship is represented by the equation y = (1/3)x, where x represents the number of animals and y represents pounds of food. If y varies directly with x, which graph represents the situation?
Answer:
It is the second graph.
Step-by-step explanation:
help....................
The unit of the rate of change is (b) dollars per month
How to determine the unit of the rate of changeFrom the question, we have the following parameters that can be used in our computation:
The table of values
Where we have
y = total amount in dollars
x = number of months
The rate of change is calculated as
Rate = y/x
substitute the known values in the above equation, so, we have the following representation
Rate = total amount in dollars/number of months
So, we have
Unit = dollars per month
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What is the slope of a line that is perpendicular to the line represented by the equation x – y = 8? 1 −1 8
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
\(x-y=8\implies -y=-x+8\implies y=\stackrel{\stackrel{m}{\downarrow }}{1}x-8\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ 1 \implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1} \implies \text{\LARGE -1}}}\)
write an inequality for the graph shown below
explanation would be greatly appreciated, thanks
Answer:
x>4
Step-by-step explanation:
Help me please Help me please
How many kilometers does the shark swim in 1 minute? Write your answer as a fraction.
Answer:
Well I dont have the speed of the shark, so I'm going to be using averages. The average shark swims at 2.4KPH so basically 2.4/60=.04 You answer will be .04KPM
Step-by-step explanation:
Classify the following triangle as acute, obtuse, or right.
132⁰
36⁰
12⁰
O A. Acute
OB. Right
O C. Obtuse
OD. None of these
The given triangle is an obtuse triangle. Option C is correct.
What is angle measurement?An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry.
Angle less ess than 90-degree angles is considered acute. The right angle is 90 degrees. Angles that are obtuse are more than 90 degrees.
The acute, obtuse angles are 36⁰,132⁰ and none of the angles is the right angle.
The given triangle is an obtuse triangle.
Hence, option C is correct.
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Please look at the photo. Thank you!
The zeros with each multiplicity are given as follows:
Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.How to obtain the multiplicities?The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
Considering the linear factors of the function in this problem, the zeros are given as follows:
(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.More can be learned about the Factor Theorem at brainly.com/question/24729294
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Determine all minors and cofactors of the matrix A given below (5)
2 −1 1 3
0 1 1 3
2 1 1 0
2 0 −1 −2
what is the fraction 7 x 1/4 = ____
Answer:
4/7 is the answer
Step-by-step explanation:
7 x ¼
=7/4
Kyle has 18 purple balls and 2 black balls in a bag. Kyle takes one ball at random from the bag, puts it back, and takes another ball from the bag. A tree diagram is drawn to represent this information. 18 20 18 20 purple 2 20 not purple 2 20 Submit Answer 18 20 2 20 purple not purple purple not purple Find the probability that Kyle takes at least one purple ball.
The probability that Kyle takes at least one purple ball is 0.9
What is probability?Probability is used to measure the likelihood of an event given a set of circumstances.
The probability that Kyle takes at least one purple ball is calculated by the formula P(A) = 1 – P(A’).
In this scenario, A is the event of taking at least one purple ball and A’ is the event of not taking any purple balls.
The probability of taking at least one purple ball (A) is calculated by subtracting the probability of not taking any purple balls (A’) from 1.
There are 20 balls in the bag, 18 of which are purple. This means the probability of not taking any purple balls (A’) is 2/20 = 0.1.
Therefore, the probability of taking at least one purple ball (A) is
1 – 0.1 = 0.9.
In conclusion, the probability that Kyle takes at least one purple ball is 0.9.
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a shirt is on sale for 20% off the original price. if the original price is 25.00, what will be the sale price of the shirt
Answer:
$20 is the sale price
Step-by-step explanation:
20% of $25 is (0.2*25)=$5
$25 -$5 = $20