The error in the steps is that In step 1, she should have also distributed -3/8 over –16d, to get 3 + 6 d + 2 d = 24
Simplifying linear equationsGiven the following equation as shown below
-3/8(-8-16d)+2d = 24
Step 1 Distribute -3/8 over the expression in parentheses
3 + 6d + 2d = 24
Simply the like terms
3 + 8d = 24
Subtract 3 from both sides of the equation.
8d = 24 - 3
8d = 21
d = 21/8
Hence the error in the steps is that In step 1, she should have also distributed -3/8 over –16d, to get 3 + 6 d + 2 d = 24
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 What property is used to do…
-2y + 15 = -23
Answer:
-2y= -23-15
-2y=-38
-y= -38/2
-y=19 proved
what is the surface area of the pyramid?
Answer: SA = 445.05
Step-by-step explanation:
Simplify :-
(3x-2y) (3x+2y) (9x²+4y²)
Answer:
[tex]\huge\boxed{\sf 81x^4 - 16y^4}[/tex]
Step-by-step explanation:
Given expression:= (3x - 2y)(3x + 2y)(9x² + 4y²)
Using formula:[tex](a+b)(a-b)=a^2-b^2[/tex]= [(3x)² - (2y)²] (9x² + 4y²)
= (9x² - 4y²)(9x² + 4y²)
Using the above formula again
= (9x²)² - (4y²)²
= 81x⁴ - 16y⁴[tex]\rule[225]{225}{2}[/tex]
Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends on various biomechanical properties of the human nasal periosteum and fascia. An article reported that for a sample of 20 (newly deceased) adults, the mean failure strain (%) was 26.0, and the standard deviation was 3.4. (a) Assuming a normal distribution for failure strain, estimate true average strain in a way that conveys information about precision and reliability. (Use a 95% confidence interval. Round your answers to two decimal places.)
The true average strain in a way that conveys information about precision and reliability is 27.314.
Given that sample size is 20, mean is 26%, standard deviation is 3.4, confidence level is 95%.
We have to calculate the true average strain in a way that conveys information about precision and reliability.
We have to use t test in our problem because sample size is less than 30.
Weknow that,
t=x bar-μ/s[tex]\sqrt{n}[/tex]
where μ is sample mean,
s is sample standard deviation.
Degree of freedom=n-1
=20-1
=19
T value at 95% confidence interval=1.7281
put the values in the formula of t given above.
1.7291=x bar-26/3.4/[tex]\sqrt{20}[/tex]
1.7291=xbar-26/3.4/4.47
1.7291= x bar-26/0.76
1.7291*0.76=x bar-26
1.314=x bar-26
x bar=26+1.314
x bar=27.314
After rounding it will be 27.31
Hence the true average strain in a way that conveys information about precision and reliability is 27.31%.
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What is the following sum?
3/125x10,13 +3/27x10,13
O
○ 8x³y² (¹³√xy)
15x³y³ (³√xy )
O 15x5
O
15x³y² (2√xy)
O
○ 8x³y³ (³√xy)
[tex]\sqrt[3]{125x^{10}y^{13} } +\sqrt[3]{27x^{10}y^{13} }[/tex]=[tex]5\sqrt[3]{x^{10} y^{13} } +3\sqrt[3]{x^{10}y^{13} } = 8\sqrt[3]{x^{10}y^{13} }[/tex]
How to solve an expression?[tex]\sqrt[3]{125x^{10}y^{13} } +\sqrt[3]{27x^{10}y^{13} }[/tex]
Therefore,
125 = 5³
27 = 3³
Hence,
[tex]5\sqrt[3]{x^{10} y^{13} } +3\sqrt[3]{x^{10}y^{13} }[/tex]
Hence,
Both cube root are the same now,
Therefore, we have to add them together.
[tex]5\sqrt[3]{x^{10} y^{13} } +3\sqrt[3]{x^{10}y^{13} } = 8\sqrt[3]{x^{10}y^{13} }[/tex]
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HI! Ok so I specifically am having an issue solving this problem? I keep coming back to 2.32 when im solving it myself and when i've asked for help its also 2.32, 2.3 rounded to be exact but the issue is my program wont accept that?
Am I solving it right or is the program im using just bugging out on me.
maybe try using the 2 and dropping the decimal
Given that zQ =zR and pv= PT, show that PQ = PR
Answer:
We have,
According to given figure.
PQ=PR(giventhat)
QS=SR(Bydefinationofmidpoint)
PS=PS(Commonline)
Then,
ΔSPQ≅ΔSPR (BY congruency S.S.S.)
Hence, PS bisects ∠PQR by definition of angle bisector.
Tristen is packing lunch boxes for the school trip. Each lunch box consists of 1 sandwich, 1 fruit, and 1 drink. Tristen can choose from 3 types of sandwiches, 4 types of fruit, and 2 types of drinks. How many different lunch boxes can Tristen pack
Answer:
24
Step-by-step explanation:
3x4x2=24
When finding the answer to this problem, you times all of the options by each other.
The number 21 is the sum of two consecutive integers 10 and 11. What is the largest number of positive, consecutive integers whose sum is 21
Answer:
11
Step-by-step explanation:
Which is a factor of f(x) = 60x4 86x3 – 46x2 – 43x 8? use the rational root theorem to help you find your answer.
The correct option is (2) [tex]\frac{8}{5}[/tex] and (3) [tex]\frac{1}{6}[/tex].
The factor of equation f(x) = 60[tex]x^{4}[/tex] + 86[tex]x^{3}[/tex] – 46[tex]x^{2}[/tex] – 43[tex]x[/tex] + 8 are [tex]\frac{8}{5}[/tex] and [tex]\frac{1}{6}[/tex].
Rational Root Theorem:The rational root theorem, also referred to as the rational zero theorem, is a potent mathematical technique used to identify all potential rational roots of polynomial equations of order 3 and above.
For the given polynomial, the roots are given as;
[tex]$$P(x)=a_{n} x^{n}+a_{n-1} x^{n-1}+\cdots+a_{2} x^{2}+a_{1} x+a_{0}$$\\ \\$\pm \frac{\text { factors of } a_{0}}{\text { factors of } a_{n}}$.[/tex]
Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and factors of 8 are 1, 2, 4 and 8.
Out of the given options, only [tex]\frac{8}{5}[/tex] and [tex]\frac{1}{6}[/tex] can be written in the form:
[tex]\begin{aligned}&\frac{8}{5}=\frac{\text { a factor of } 8}{\text { a factor of } 60} \\&\frac{1}{6}=\frac{\text { a factor of } 8}{\text { a factor of } 60}\end{aligned}[/tex]
Therefore, the rational roots of polynomial f(x) = 60[tex]x^{4}[/tex] + 86[tex]x^{3}[/tex] – 46[tex]x^{2}[/tex] – 43[tex]x[/tex] + 8 are [tex]\frac{8}{5}[/tex] and [tex]\frac{1}{6}[/tex].
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The complete question is-
Which is a factor of f(x) = 60[tex]x^{4}[/tex] + 86[tex]x^{3}[/tex] – 46[tex]x^{2}[/tex] – 43[tex]x[/tex] + 8? use the rational root theorem to help you find your answer.
x – 6 => 65x – 8 => [tex]\frac{8}{5}[/tex] 6x – 1 => [tex]\frac{1}{6}[/tex]8x + 5 => [tex]\frac{-5}{8}[/tex]Which rule can be used to describe the growth of the y-values of the function y=12^(x) each interval from x=-1 to x=3
A rule which describes the growth of the y-values of the function y=12^x over each interval is "multiply by 12."
How to determine the rule?By critically observing the given function, we can logically deduce that it is an exponential function. Also, the initial value of this exponential function is 1 with a growth factor is 12.
For instance, we have:
At x = -1
y = 12^(-1)
y = 1/12
At x=0
y = 12^(0)
y = 1
At x = 1
y = 12^(1)
y = 12
In conclusion, a rule which describes the growth of the y-values of the function y=12^x over each interval is "multiply by 12."
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HELP MEEEEEEEEEEEEEEEE
Step-by-step explanation:
Well first let's find the derivative in using the power rule
h'(t) = (-4.9)t + 157
h'(t) = -9.8t + 157
we can see from the image above that the maximum height is 1452.602 so that is the answer to the second question.
h'(1452.602) = -9.8(1452.602) + 157
h' = 14,078.500
How can you do mental math and solve 2.22 divided by 2 without writing anything down? explain.
Answer:
1.11
Step-by-step explanation:
A linear function contains the following points. x 0 2 4 6 y 3 -1 -5 -9
What are the slope and y-intercept of this function?
A. The slope is -2. The y-intercept is (3,0).
B. The slope is -1/2 The y-intercept is (0,3)
C. The slope is 2. The y-intercept is (0,3)
D. The slope is -2. The y-intercept is (0,3)
Answer:
D. The slope is -2. The y-intercept is (0,3)
Step-by-step explanation:
You can use any two points.
Let's use the first two points: (0, 3), (2, -1)
slope = (y_2 - y_1)/(x_2 - x_1)
slope = (-1 - 3)/(2 - 0)
slope = -4/2
slope = -2
The y-intercept occurs when x = 0. For x = 0, y = 3, so the y-intercept is 3 which means the point (0, 3).
Answer: D. The slope is -2. The y-intercept is (0,3)
How many ms in a second?
In the figure, is the perpendicular bisector of .
Prove:
A line CD is a perpendicular bisector of another line AB. A triangle is drawn by the points of A, B, and C.
Complete the proof.
CD is the perpendicular bisector of another line AB which can be proven below.
What is perpendicular bisector?Perpendicular bisector is a line that divides another line into two equal halves in such a way that it creates an angel of 90°.
To proof that CD is the perpendicular bisector of another line AB the following is carried out;
Draw a line segment AB with length of about 5 cm.With any radius greater than 2.5 cm, and compass fixed at A, draw 2 arcs, one above and one below AB.With the same radius, compass at B, cut the 2 arcs drawn in step 2.The line joining these two arcs is the perpendicular bisector of AB.Learn more about perpendicular lines here:
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Answer:
heres what i got
Step-by-step explanation:
2. definition of a perpendicular bisector
5. reflexive property of congruence
11. definition of square root
Sandy rakes and bags the leaves on her front lawn in 30 mins. Randy does the same job in 20 mins. How many fewer minutes will it take to complete the same job if sandy and randy work together than if sandy works alone?
The number of minutes it take to complete the same job if sandy and randy work together than if sandy works alone is 18mins.
How to calculate time?According to this question, Sandy rakes and bags the leaves on her front lawn in 30 mins while Randy does the same job in 20 mins.
To calculate the time it will take both of them to work together, we use the following expression;
1/30 + 1/20 = 1/x
x = 12mins
Therefore, it will take 30 - 12 = 18 mins, to complete the same job if sandy and randy work together than if sandy works alone.
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Thanks!
1) You know that for any , neither sin nor cos can be greater than 1. How can you explain this using the unit circle definitions of sine and cosine? How can you explain it using the right triangle definitions of sine and cosine?
As a follow-up question, consider why it is important to have both the right triangle definitions of sine and cosine and the unit circle definitions of sine and cosine.
2) Can you give examples of situations that might be modeled with trigonometric functions? That is, can you give examples of phenomena that take on a series of values over and over again?
The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of sine and cosine will be always less than a unit.
How to explain the trigonometry?In a unit circle, the radius of the circle represents the hypotenuse of the triangle. Since the hypotenuse is the largest side of the triangle, the ratio of the perpendicular to the hypotenuse and the base to the hypotenuse both will be less than the hypotenuse, therefore, 1. Hence, the value of sine and cosine will be always less than a unit.
In construction, we use trigonometry. For figuring areas of triangular shapes, similar to many concepts and phenomena in mathematics.
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Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the help!
Answer:
b. -x + y = 0
Step-by-step explanation:
Direct variation:
Direct variation means "y varies directly as x”:
[tex]y \propto x \implies y=kx[/tex]
where k is the (non-zero) constant of variation.
To determine which of the given equations represents a direct variation, isolate y for each and compare with the direct variation equation.
Equation a
[tex]y=\dfrac{4}{3}x-2[/tex]
This is not a direct variation equation as there is an addition of -2.
Equation b
[tex]-x+y=0[/tex]
[tex]\implies y=x[/tex]
This is a direct variation equation where the constant of variation is 1.
Equation c
[tex]xy=8[/tex]
[tex]\implies y=\dfrac{8}{x}[/tex]
This is not a direct variation equation as y is inversely proportional to x.
Equation d
[tex]y=14[/tex]
This equation does not include the variable x, and so is therefore not a direct variation equation.
If y varies inversely with x then the line must be linear and increasing
And the y intercept must be 0 in y=mx+c
#1
y=4/3x-2c=-2
Not direct#2
y=xYes
#3
y=8/xNo
#4
y=14Parallel to x axis no direct variation
Suppose you roll a 6-sided die and draw a card from a deck
of 52 cards. how many possible outcomes are there?
Total possible outcomes are 312
We need to find that if you roll a 6-sided die and draw a card from a deck of 52 cards,what are total possible outcomes
Probability is a measure of the possibility that an event will occur. Many events cannot be predicted with absolute certainty. We can only predict the probability that an event will occur, i.e. how likely it is to occur, using it. Probability can range from 0 to 1, where 0 means an event is impossible and 1 means a certain event
An outcome is the result of an event that depends on probability. Probability refers to the likelihood that something will happen, and an event can have more than one possible outcome.
Enumeration of possible outcomes is the process of determining the number of possible outcomes for an event. There are various methods to carry out this process. The best way to calculate the number of possible outcomes of an event depends on the type of event and the structure of the event
If a 6-sided die and draw a card from a deck,
then each side has total possible outcome 52
so, total number of possible outcomes for 6 - sided dice are 52 * 6
= 312
Hence total number of possible outcomes are 312
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Here is a list of numbers: 9.5, 4.4, 8.1, 2.9, 9.2, 3.2, 9.4, 7, 2.5 state the median.
The median of the list of numbers is 7
How to determine the median?The number is given as:
9.5, 4.4, 8.1, 2.9, 9.2, 3.2, 9.4, 7, 2.5
Rearrange the numbers in ascending order
2.5, 2.9, 3.2, 4.4, 7, 8.1, 9.2, 9.4, 9.5
The median is the middle number.
The middle number here is 7
Hence, the median of the list of numbers is 7
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How many triangles are there?
Answer:
20
Steps-by-step explanation:
sorry mistake
Answer:
12
Explanation: I just counted them! :) and there was 6 in the middle and on the outside so 6 + 6 = 12! :)
4. If a = 1+ 1/b where b>1, find the value of a ?
Answer: a is more than 1 but less than 2
Step-by-step explanation:
b > 1
0 < [tex]\frac{1}{b}[/tex] < 1
0 + 1 < 1 + [tex]\frac{1}{b}[/tex] < 1 + 1
1 < 1 + [tex]\frac{1}{b}[/tex] < 2
So 1 < a < 2
If my savings of $x grows 10% each year. how much will I have in: 2 years
The amount I'll have in two years at the growth rate described is; $1.21x.
How much will I have in 2 years?Since it follows that the savings grow by 10% each year, it can be concluded that the growth factor is; 110% = 1.1
Hence, in two years, we have;
= $x × (1.1)²
= $1.21x.
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Answer:
1.21x
Step-by-step explanation:
on rsm it says its correct
Jack is in a helicopter and looking down at two friends’ homes. The angle of depression to the first home is 72°. The angle of
depression to the second home is 49°. If the homes are 420m apart, what is the distance between the helicopter and the first
home?
The distance between the helicopter and the first home is 369. 87 m
How to solve the distance using the angle of depression?The distance between the helicopter and the first home can be found using sine law,
Therefore,
180 - 72 - 49 = 59 degrees.
Hence,
420 / sin 59 = A / sin 49°
where
A = distance form the first home to the helicopter.
cross multiply
420 sin 49 = A sin 59°
A = 420 sin 49 / sin 59
A = 316.978023694 / 0.8571673007
A = 369.869339199
A = 369. 87 m
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What are the new coordinates? Marking brainliest whoever gets it!
Answer:
a = (9,8)
b=(10,6)
c=(4,3)
Step-by-step explanation:
basically, you just take the original coordinates and add the translation to it.
so a was -1,6 so just at 10 to -1 as they are x coordinates nad add 2 to 6 because they are Y coordinates and you just do it for all of the points.
Identify which property you would use first to solve the following equation.
3(2y+5) = 8y - 23
Answer:
Distributive property
Step-by-step explanation:
In order to solve this equation we first need to distribute 3 into 2y+5, we use the distributive property to do this.
20 points, help me, please !!!!!
(a) |-9| + 6 = 9 + 6 = 15
(b) |-9 + 6| = |-3| = 3
Which pairs of triangles appear to be congruent? Check all that apply. 2 A. Triangles 1 and 2 B. Triangles 2 and 3 C. Triangles 1 and 4 D. Triangles 1 and 3 E. Triangles 3 and 4 Triangles 2 and 4 A
Pairs of triangles appear to be congruent are :
Triangles 2 and 3. Option B
Triangles 2 and 4. Option D
Triangles 3 and 4. Option E
What are congruent triangles?Congruent triangles can be defined as the pairs of triangles with same measurement
Triangles 2 and 3 :
After observing triangles 2 and 3 it appears that triangle is congruent to triangle .
Option C
Triangles 2 and 4
After observing triangles 2 and 4 it appears that triangle 2 is congruent to triangle 4 .
Option D
E. Triangles 3 and 4
After observing triangles 3 and 4. They are congruent
Option E
Hence, Option B, D and E are correct of the triangles
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Answer:
Triangles 3 and 4
Triangles 1 and 4
Triangles 1 and 3
Step-by-step explanation:
if this is wrong tell me so i can edit the answer, but this is what i got
What are the missing side lengths for the triangle?
Answer:
[tex]BC=5\sqrt{2}[/tex], [tex]AC=5\sqrt{4}[/tex]
Step-by-step explanation:
In a 45-45-90 relation triangle the two shortest sides will have equal length, meaning:
[tex]BC=5\sqrt{2}[/tex]
To find the hypotenuse we must multiply the shortest side by [tex]\sqrt{2}[/tex], both sides are equal so it doesn't matter which we multiply.
[tex]AC=5\sqrt{2} \sqrt{2} \\AC=5\sqrt{4}[/tex]