Answer:
-8
Step-by-step explanation:
Given the following question:
-8 + 13 + (-13)
Use PEMDAS to solve this question:
13 + (-13) = 0
-8 + 0 = -8
= -8
Hope this helps.
Hello..!
\( \: \: \ \: \: \: \: \: \: \: \: \: \: \ \sf \red{ - 8 + 13 + ( - 13)}\)
\( \blue{\underline{ \green{ \underline{\sf \green{Explantation: }}}}}\)
First, to solve the problem we take into account the Law of Signs:
\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \green{\underline{ \blue{\underline{ \red{\sf Law \: of \: \: Signs:}}}}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \times + = - \)
Once we have the law of signs, we will eliminate the parentheses to subtract, taking into account the law of signs
\( \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \green{ - 8 + 13 - 13}\)
Then we must subtract knowing that when there is a minus and a plus it is automatically minus
\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \blue{- 5 - 13}\)
Well, now we will subtract the only thing we have left, which in this case is 5 -13, which gives us -8
\( \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \: The \: \: result \: \: is \: \: from \\ \: \: \: \: \: \: \: \sf \green\longmapsto \pink{ - 8}\)
¿Doubts? in the comments
Help please!!!!!!!!!!
Answer:
the answer is the third one
Guys please help I rlly dk
• Increase the shape 3 times its original size.
Answer:
To learn one must experiment and leave their comfort zone
- Sun tzu (probably)
So, by a scale factor of 3 it simply means multiply the size by 3.
Find the radius and center of a circle with the equation x2 + y2 + 4x – 8y = 16.
I will give 100 points! AND brainliest!
Answer:
circle with centre (-2, 4) and radius 6
Step-by-step explanation:
x² + 4x +y² - 8y = 16
complete the square for x² + 4x:
(x + 2)² = x² + 4x + 4. we have 4 more than the original. so we subtract 4.
we now have (x + 2)² -4 + y² - 8y = 16.
add 4 to both sides:
(x + 2)² + y² - 8y = 20
complete the square for y² - 8y:
(y - 4)² = y² - 8y + 16. we have 16 more than the original. so we subtract 16.
we now have (x + 2)² + (y - 4)² - 16 = 20
add 16 to both sides:
(x + 2)² + (y - 4)² = 36
(x + 2)² + (y - 4)² = 6²
this is the circle with centre (-2, 4) and radius 6
We can think of 3÷1/4 as the answer to the question " How many groups of 1/4 are in 3?" The tape diagram represents this situation. What is the answer to the question.A:12B:6C:9D:3
The length of the tape is 3 and it is divided into equal parts or groups. The length of each group is 1/4. This means that the number of groups in 3(the tape) would be
3÷1/4
We can hold 3 and flip the fraction, 1/4. If we flip 1/4, it becomes 4/1 and the division sign becomes multiplication. The expression would be
3 x 4/1 = 12
The correct option is A
how do you find a percentage
Answer:
marks obtained /maximum marks × 100 = X%
Find the value of x
3x
7x+10
^imagine
The value of the x in the circle is 17.
'
How to find the centre angle in a circle?The angle measure of the central angle is congruent to the measure of the intercepted arc.
Therefore, let's find the value of x.
Hence,
180 - 3x(angle on a straight line) = 7x + 10
180 - 3x = 7x + 10
add 3x to both side of the equation
180 - 3x = 7x + 10
180 - 3x + 3x = 7x + 3x + 10
180 = 10x + 10
180 - 10 = 10x
170 = 10x
x = 170 / 10
x = 17
Therefore,
x = 17
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(1 point) Some shrubs have the useful ability to resprout from their roots after their tops are destroyed. Fire is a particular threat to shrubs in dry climates, as it can injure the roots as well as destroy the aboveground material. One study of resprouting took place in a dry area of Mexico. The investigation clipped the tops of samples of several species of shrubs. In some cases, they also applied a propane torch to the stumps to simulate a fire. Of 16 specimens of a particular species, 7 resprout after fire. Estimate with 99% confidence the proportion of all shrubs of this species that will resprout after fire.
Answer:
The answer is "\(0.45 \pm 0.18204\)"
Step-by-step explanation:
For the +4 sample proportion\(= \frac{(7+2)}{(16+4)} = \frac{9}{20} = 0.45\)
Sample percentage measurements estimated stdev
\(= \sqrt{\frac{[(0.45)(1-0.45)]}{[(16+4)]}}\\\\ = \sqrt{\frac{[(0.45)(0.55)]}{[(20)]}}\\\\ = \sqrt{\frac{0.2475}{20}}\\\\= \sqrt{0.012375}\\\\=0.111\)
Calculating the critical z for a=0.1, two-tailed = 1.64
Calculating the confidence interval:
\(= 0.45 \pm 0.111 \times 1.64 \\\\= 0.45 \pm 0.18204\)
a geologist has collected 14 specimens of basaltic rock and 14 specimens of granite. the geologist instructs a laboratory assistant to randomly select 23 of the specimens for analysis. (a) what is the pmf of the number of granite specimens selected for analysis? (round your probabilities to four decimal places.) x 9 correct: your answer is correct. 10 correct: your answer is correct. 11 correct: your answer is correct. 12 correct: your answer is correct. 13 correct: your answer is correct. 14 correct: your answer is correct. p(x) 0.0974 incorrect: your answer is incorrect. 0.1384 incorrect: your answer is incorrect. 0.1612 incorrect: your answer is incorrect. 0.1612 incorrect: your answer is incorrect. 0.1384 incorrect: your answer is incorrect. 0.0974 incorrect: your answer is incorrect. (b) what is the probability that all specimens of one of the two types of rock are selected for analysis? (round your answer to four decimal places.) 0.0974 incorrect: your answer is incorrect. (c) what is the probability that the number of granite specimens selected for analysis is within 1 standard deviation of its mean value? (round your answer to four decimal places.)
The standard deviation is 1.0319
x values between 10.4681 and 12.5319 are respectively ( 11 , 12 )
The probability that the number of granite specimens selected for analysis is within 1 standard deviation of its mean value is 0.6740
How to solve thisWe are given that: a geologist has collected 14 specimens of basaltic rock and 14 specimens of granite.
Thus total rocks = N = 14 +14 = 28
The geologist instructs a laboratory assistant to randomly select 23 of the specimens for analysis.
Thus sample size = n = 23
Part a) What is the pmf of the number of granite specimens selected for analysis?
x = the number of granite specimens selected
Thus M = Number of granite specimens = 14
Thus x can have the following values:
x n-x = 23-x
9 14
10 13
11 12
12 11
13 10
14 9
We can select a minimum 9 granite specimens, so that total becomes 9 granite specimens + 14 basaltic rock = 23
and maximum 14 granite specimens, so that total becomes 14 granite specimens + 9 basaltic rock = 23
Here x = the number of granite specimens selected follows Hypergeometric distribution with parameters N = 28 ,M=14 , n = 23 .
P(X=9) =0.02037
Similarly, we find all next probabilities:
x P(x)
9 0.0204
10 0.1426
11 0.3370
12 0.3370
13 0.1426
14 0.0204
Part b) What is the probability that all specimens of one of the two types of rock are selected for analysis?
the probability that all specimens of one of the two types of rock are selected
That is:
P( All 14 are granite specimens and rest 9 are basaltic rock OR All 14 are basaltic rock and rest 9 are granite specimens)=......?
That is:
P( 14 granite specimens , 9 basaltic rock OR 14 basaltic rock , 9 granite specimens) =......?
From above table in part a) , we have:
P( 14 granite specimens) = 0.0204 , that means
P(14 granite specimens , 9 basaltic rock) = 0.0204
and
P( 9 granite specimens)=0.0204
That is:
P( 14 basaltic rock , 9 granite specimens) = 0.0204
Thus
P( 14 granite specimens , 9 basaltic rock OR 14 basaltic rock , 9 granite specimens) =0.0204 + 0.0204
P( 14 granite specimens , 9 basaltic rock OR 14 basaltic rock , 9 granite specimens) = 0.0408
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Which overlapping triangles are congruent by AAS?
A. ΔADC = ΔEBC
B. ΔABE = ΔCDA
C. ΔΑΒΕ = ΔDEA
D. ΔΑDC = ΔEDA
By Angle-Angle-Side (AAS) triangle congruence theorem we know that two triangles are congruent if they have two sets of congruent angles and a set of non-included congruent sides.
Since no figure is given in the question we employ the reflexive characteristic to demonstrate that the overlapping sections are congruent in order to demonstrate that overlapping triangles are congruent.
If two triangles are precisely the same size and shape—that is, if they have the same side lengths and angle measurements—they are said to be congruent. If we are aware that two triangles have all the same sides and angles, we can conclude that the triangles are congruent.
To demonstrate that two triangles are congruent, however, we don't necessarily need to know that all of their sides and angles are congruent.
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5. Given the right triangle JKL, identify the locations of sides j, k, and I in relation to angle L
in terms of opposite, adjacent, and hypotenuse.
HELP
In relation to the angle L of the right triangle the sides are as follows:
l = opposite sidek = hypotenusej = adjacentHow to name the side of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sides of a right angle triangle can be named according to the position of the angles in the right angle triangle.
The sides of a right triangle can also be solved by using Pythagoras's theorem or trigonometric ratios.
Let's identify the sides j, k, and I in relation to angle L in terms of opposite, adjacent, and hypotenuse.
Therefore,
l = opposite sidek = hypotenusej = adjacentThe hypotenuse side is the longest side of a right triangle.
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Lucas has 2 chocolate bars more than Caidon. Together they have 30 chocolate bars. How
many chocolate bars does Lucas have? (hint: use only one variable)
Help me
Answer:
Lucas has 16 chocolate bars
Step-by-step explanation:
Let x = number of chocolate bars Lucas has
⇒ x - 2 = number of chocolate bars Caidon has
If they have 30 chocolate bars altogether then:
⇒ x + x - 2 = 30
⇒ 2x - 2 = 30
⇒ 2x = 32
⇒ x = 16
Therefore, Lucas has 16 chocolate bars (and Caidon has 14 chocolate bars).
Determine if true:
3x9^2=188
Answer:
False
Step-by-step explanation:
3x9=27
27^2=729
279=188
The numbers dont match.
Hence, the equation is false.
Answer: False
Step-by-step explanation:
3×9^2=188
Calculate 9 to the power of 2 and get 81.
3×81=188
Multiply 3 and 81 to get 243.
243=188
Compare 243 and 188.
False
Given: a || b
Find the missing angle measures in the diagram. Explain how you find each angle measure. (please explain how you got the answer)
The angle measure explained in the solution.
Given that, a || b, we need to find the missing angles,
∠1 = 42° [vertically opposite angles]
∠3 = 62° [vertically opposite angles]
∠2 = 180°-(∠1+62°) [angle in a straight line]
∠2 = 76°
∠4 = ∠2 [vertically opposite angle]
∠4 = 76°
∠4 = ∠9 = 76° [alternate angles]
∠9 = ∠12 = 76° [vertically opposite angle]
∠3 = ∠ 6 = 62° [alternate angles]
∠ 6 = ∠7 = 62° [vertically opposite angle]
∠3 + ∠5 = 180° [consecutive angles]
∠5 = 118°
∠5 = ∠8 = 118° [vertically opposite angle]
∠4 + ∠10 = 180° [consecutive angles]
∠10 = 104°
∠10 = ∠11 [vertically opposite angle]
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The probability that an event will happen is P(E)= 0.33 Find the probability that the event will not happen.
Answer:
0.67
Step-by-step explanation:
The probability that the event will not happen is 1 - 0.33 and that is 0.67
find measure of angle ABC. measure of angle FEC=90 degrees
The measures of ∠ ABC = 81° and ∠ FEC = 90°
What is the angle sum property of a triangle?A common property of all kinds of triangles is the angle sum property. The angle sum property of triangles is 180°. This means that the sum of all the interior angles of a triangle is equal to 180°.
Given that, BE is the median of Δ ABC, m ∠ ABE = 40°30
40°30 = 40°+30/60° = 40.5°
Since, BE is the median so, AE = EC and m ∠ ABE = m ∠ CBE
m ∠ ABE = m ∠ CBE = m ∠ ABC → By angle sum postulate
m ∠ ABC = 40.5°*2 = 81°
Since, AB = BC, then m ∠ A = m ∠ C → {angles opposite to equal sides are equal}
In Δ ABC, let m ∠ A = m ∠ C = x
x + x + m ∠ ABC = 180°
2x = 180° - 81°
2x = 99°
x = 49.5°
Therefore, m ∠ A = m ∠ C = 49.5°
In Δ CBE,
m ∠ BCE + m ∠ CBE + m ∠ BEC = 180°
49.5° + 40.5° + m ∠ BEC = 180°
m ∠ BEC = 180° - 90°
m ∠ BEC = 90°
Now,
m ∠ BEC + m ∠ FEC = 180° → by linear pair sum
m ∠ FEC = 180° - 90°
m ∠ FEC = 90°
Hence, The measures of ∠ ABC = 81° and ∠ FEC = 90°
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The scale on a map is given as 5 cm to 3.5 km.How far apart are two towns if the distance between two towns on the map is 8 cm ?
Answer:
5.6km
Step-by-step explanation:
Using proportion,
Scale: 5cm = 3.5km
Here:. 8cm = xkm
Where, x is an unknown
Cross multiply
x·5 = 3.5·8
Divide both sides by 5
(x·5) / 5 = (3.5·8) / 5
Therefore x = 3.5 * (8/5)
x = 3.5 * 1.6
x = 5.6km
Therefore the two town are 5.6km apart.
a rectangle with a width of 30 centimeters has a perimiter of 100 centimeters to 160 centimeters graph a compound inequality
Answer:
5 ≤ L ≤ 35
Step-by-step explanation:
Let w represent the width of the rectangle.
The perimeter (P) of the rectangle is given by:
P = 2w + 2L
Where L is the length of the rectangle.
We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:
100 ≤ 2(30) + 2L ≤ 160
100 ≤ 90 + 2L ≤ 160
10 ≤ 2L ≤ 70
We can now divide both sides by 2 to solve for L:
5 ≤ L ≤ 35
Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is: 5 ≤ L ≤ 35
Sketch the right triangle and find the length of the side not given if necessary approximate the light to the nearest thousandth
Let's take a look at our triangle:
Using the pythagorean theorem, we'll have that:
\(h^2=12^2+16^2\)Solving for h,
\(\begin{gathered} h^2=12^2+16^2 \\ \rightarrow h=\sqrt[]{12^2+16^2} \\ \rightarrow h=\sqrt[]{400} \\ \\ \Rightarrow h=20 \end{gathered}\)This way, we can conlcude that the missing side measures 20 units.
Q(9,10) R(-5,2) S(-8,-2) T(-1,2)
Answer:
its perpendicular
Step-by-step explanation:
Identify the correct graph of the system of equations.
3x + y = 12
x + 4y = 4
help me with my homework please
A. C
B. C
C. 15 and 26.
Easy math help picture below problem 4
Answer: is 126 degrees
Step-by-step explanation:
the cost of a popsicle at the snack stand is $0.75 let p represent the number of popsicles and c represent total cost use an equation to represent the relationship between the numbers of popsicles bought and the total cost
Answer:
0.75p=c
Step-by-step explanation:
Write an equation of a line that passes through the point (-4, 5) and have a slope of 1/2
Answer:
y = 1/2x + 7
Step-by-step explanation:
y = mx+ b
y = 5
x = -4
5 = 1/2(-4) + b
5 = -2 + b
7 = b
Solve the equation or formula for the indicated variable.
T=2rh + 2r^2 ; for h
How much must you add to -12 to get a number greater than 5? A A number less than -17 B A number less than 7 C A number between 7 and 17 D A number greater than 17
The coordinates of the vertices of a polygon are shown on the graph below.
What is the name of the polygon?
octagon
pentagon
quadrilateral
triangle
Answer:
Triangle
Step-by-step explanation:
It has three side unlike the others can't have three sides
Find the absolute value of the integer |56|
Hello!
The absolute value of any number, negative or positive, is always positive.
That's because the absolute value of a number is the number's distance from zero.
Therefore, the absolute value of 56 is 56.
Hope that helps! :)
-art lover
The campus bookstore knows from the past several semesters that a certain elementary statistics book has a demand that is approximated by a normal distribution with a mean of 250 and a standard deviation of 40. They buy these books for $105 each and sell them to unsuspecting undergraduates at $222 each. All demand for this book is realized by the middle of the semester, at which point the bookstore bundles them up and sells them to a vendor in another country for $40 each. What is the marginal profit for a single elementary statistics book
Answer:
$117
Step-by-step explanation:
Given that:
They buy these books for $105 each and sell them to unsuspecting undergraduates at $222 each
Marginal Profit = Marginal Revenue – Marginal Cost.
Marginal Profit = $222 - $105
Marginal Profit = $117
the marginal profit for a single elementary statistics book $117
For the remaining unsold books in the middle of the semester he bundles them up and sells to vendor in another country for $40 each for which he suffers a marginal loss of $105 - $40 = $65 each
Help pldssssssss………………..
The missing value for the quadratic function is given as follows:
y = -3.
How to obtain the quadratic function?As a function of it's roots x* and x**, the quadratic function is defined as follows:
y = a(x - x*)(x - x**)
In which a is the leading coefficient.
The roots of the function are the values of x when y = 0, hence:
x* = -4, x** = -2.
Thus:
y = a(x + 4)(x + 2)
y = a(x² + 6x + 8).
When x = 0, y = -8, hence the leading coefficient a of the function is given as follows:
8a = -8
a = -1.
Hence:
y = -x² - 6x - 8;
The missing value is the value of y when x = -1, hence:
y = -(-1)² - 6(-1) - 8
y = -3.
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