Answers
Answer: 8/9 divided by 4 is 2/9.
Step-by-step explanation: If you want to divide fractions, first you need to find the reciprocal of the second term. The reciprocal is when you swap the numerator and the denominator. The reciprocal of 4 is 1/4. Then, you multiply 8/9 is 1/4. 8 x 1 is 8, and 9 x 4 is 36. The answer is 8/36, which you can simplify into 2/9.
The value of the expression (8/9)÷4 is (8/9)×1/4.
What is PEMDAS rule?PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.
Given, A fraction 8/9 and it is being divided by 4.
∴ (8/9)÷4.
= (8/9)×1/4. (think of flipping the divisor to make it a multiplier)
= 32/9
Or
3 whole 5/9.
learn more about the PEMDAS rule here :
https://brainly.com/question/36185
#SPJ2
Related Questions
Find the slope for the following pair of points:
(-14,3) and (-3, 0)
Answers
Answer:
slope = - \(\frac{3}{11}\)
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 14, 3 ) and (x₂, y₂ ) = (- 3, 0 )
m = \(\frac{0-3}{-3-(-14)}\) = \(\frac{-3}{-3+14}\) = - \(\frac{3}{11}\)
Answer:
The slope is M= -3/11 (M= Negetive three over eleven)
Step-by-step explanation:
To find the end behavior
Answers
Answer:
hope this helps
Step-by-step explanation:
To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph
The prior probabilities for events
A1, A2, and A3
are
P(A1) = 0.20,
P(A2) = 0.30,
and
P(A3) = 0.50.
The conditional probabilities of event B given
A1,
A2,
and
A3
are
P(B | A1) = 0.50,
P(B | A2) = 0.30,
and
P(B | A3) = 0.40.
(Assume that
A1, A2, and A3
are mutually exclusive events whose union is the entire sample space.)
(a)
Compute
P(B ∩ A1), P(B ∩ A2), and P(B ∩ A3).
P(B ∩ A1)
=
P(B ∩ A2)
=
P(B ∩ A3)
=
(b)
Apply Bayes' theorem,
P(Ai | B) = P(Ai)P(B | Ai)
P(A1)P(B | A1) + P(A2)P(B | A2) + + P(An)P(B | An),
to compute the posterior probability
P(A2 | B).
(Round your answer to two decimal places.)
(c)
Use the tabular approach to applying Bayes' theorem to compute
P(A1 | B),
P(A2 | B),
and
P(A3 | B).
(Round your answers to two decimal places.)
Events P(Ai)
P(B | Ai)
P(Ai ∩ B)
P(Ai | B)
A1
0.20 0.50 A2
0.30 0.30 A3
0.50 0.40 1.00 1.00
Answers
(a) Through the conditional probability formula:\(P(B ∩ A) = P(B | A) P(A),\)
\(P(B / A1) P(A1) = 0.50 x 0.20 = 0.10A2 = 0.30 x 0.30 = 0.09A3= 0.40 x 0.50 = 0.20\)
(b)Bayes' theorem gives
\(P(A2 | B) = p(B | A2) p(A2) / [p(B | A1) P(A1) + p(B | A2) P(A2) + p(B | A3) p(A3)]= 0.26Thus, P(A2 | B) = 0.26.\)
(c)the tabular approach can show us
Events P(Ai) P(B | Ai) P(Ai ∩ B) P(Ai | B)
A1 0.2 0.5 0.1 0.167
A2 0.3 0.3 0.09 0.307
A3 0.5 0.4 0.2 0.526
Therefore,\(P(A1 | B) = 0.167, p(A2 | B) = 0.307, p(A3 | B) = 0.526.\)
To know more about probabilities
brainly.com/question/30034780
#SPJ4
4. When you _________ the problem, it makes it easier to understand how you solved it.
Answers
Answer:
When you explain the problem, it makes it easier to understand how you solved it.
I hope this helped at all.
Seventy percent of the children went on the excursion. If 27 stayed at school, how many went?
Answers
By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.
We are given that,
No. of children who stayed at school is 27,
Also, 70% of the children went on an excursion.
Suppose, the total number of children in percentage is 100%
Out of which 70% went on an excursion
Thus, the children who stayed at school is 100% - 70% = 30%
By using the Unitary method, we can find out the number of 70% of children.
If 30% of the children are 27
Then 70% of the children are = 27 × 100
30
= 63
∴ the total no. of children in the school = 27 + 63
= 90
To learn more about the Unitary method refer to the link below:
https://brainly.com/question/8083231
The side of a triangle are in the ratio 4:4:3 what kind of triangle is it (b) calculate the smallest angle of the triangle to the nearest degree
Answers
The smallest angle of the equilateral triangle is 60 degrees
If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.
To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.
For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:
Smallest angle \(= \frac{180}{3} = 60\)\) degrees.
Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).
For more questions on equilateral triangle:
https://brainly.com/question/17264112
#SPJ8
Given f(x)=x^2+6x and g(x)=4 x^2, find fg. fg(x)=
Answers
The composite function f·g(x) is 4x⁴+24x³.
The given functions are f(x)=x²+6x and g(x)=4x².
We need to find f·g(x).
We know that, f·g(x)=f(x)×g(x)
Here, f·g(x)=(x²+6x)×4x²
= x²×4x²+6x×4x²
= 4x⁴+24x³
Therefore, the composite function f·g(x) is 4x⁴+24x³.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ1
A cognitive psychologist would like to evaluate the claim that the omega-3 fatty acids can help improve memory in normal adult humans. One group of participants is given a large dose of fish extract containing the Omega-3 (500 mg), and a second group is given a placebo containing no Omega-3 (0 mg). The researcher asks each participant to read the front page of a local newspaper thoroughly every morning and to take their prescribed dosage (of either Omega-3 or placebo) immediately afterwards. The researcher gives each participant a memory test at the end of two weeks and records how many news items each participant remembers from the past three weeks of news. Answer the following:
A) What names would you give the independent and dependent variables;
B) Is the dependent variable discrete or continuous?
C) What scale of measurement (nominal, ordinal, interval or ratio; and continuous or discrete) is used to measure the independent variable?
D) What research method is being used (experimental or observational)? Explain why you conclude that the research method is one or the other.
Answers
Answer:
(a)
Independent Variable- Dosage of Omega-3 Fatty AcidsDependent Variable - Number of news item remembered(b)Discrete
(c)Ratio Scale and Discrete Variable
(d) Experimental Method
Step-by-step explanation:
The psychologist wants to evaluate the claim that omega-3 fatty acids can help improve memory in normal adult humans.
(a)In the study, the participants in the two groups were given fish extracts containing Omega-3 (500 mg) and no Omega-3 (0 mg).
The memory test involves measuring the number of items each participant remembers from the past three weeks of news.
Therefore:
Independent Variable- Dosage of Omega-3Dependent Variable - Number of news item remembered(b) The dependent variable is discrete since the number of news items remembered can only be whole numbers.
(c)The independent variable is in milligrams of Omega-3 where the placebo is 0 mg. This is a ratio scale since it has an absolute zero.
Since the dosage is given in multiples of 50mg, it is a discrete variable.
(d)Since the psychologist seeks to manipulate the conditions of the study by introducing Omega-3 to some of the participants and placebo to other participants, it is an experimental distribution.
There are twice as many children as adults attending a family reunion. Which fraction of the family members at the reunion are adults? PLEASE HELP!! I WILL GIVE 18 BRAINLEST POINTS!
Answers
Answer:
1/3
Step-by-step explanation:
let a = adults
so then 2a = children
a/2a(+a) = a/3a
cosec2a+cosec4a=cota-cot4a
Answers
Answer: Cosec 2 A + Cot 4 A = Cosec 4 A - Cot 2 A
Step-by-step explanation:
Taking LHS :
⇒Cosec 2 A + Cot 4 A
⇒Cosec 2 A + ( Cot 2 A )2
⇒Cosec 2 A + ( Cosec 2 A - 1 )2 ( we know : 1 + Cot 2 θ = Cosec 2 θ )
⇒Cosec 2 A + Cosec 4 A + 1 - 2 Cosec 2 A
⇒ Cosec 4 A + 1 - Cosec 2 A
⇒ Cosec 4 A + 1 - ( 1 + Cot 2 A)
⇒ Cosec 4 A + 1 - 1 - Cot 2 A
⇒ Cosec 4 A - Cot 2 A
or cosec2A+cosec4A=cotA-cot4A
(a) From Latoya's results, compute the experimental probability of rolling a 1 or 6.
(b)Assuming that the cube is fair, compute the theoretical probability of rolling a 1 or 6.
(c)Assuming that the cube is fair, choose the statement below that is true.
A. The experimental and theoretical probabilities must always be equal.
B. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become closer, though they might not be equal.
C. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become farther apart.
Answers
(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.
Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.
Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.
(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).
Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.
(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.
For such more question on probability
https://brainly.com/question/30390037
#SPJ8
100 POINTS
A gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet.
a. If one side of a gazebo is open, and the other sides have a railing, find the cost of the railing if it sells for $7.90 per foot.
b. Find the area of the gazebo in square feet.
c. Find the cost of the gazebo's flooring if it costs $3 per square foot. Round to the nearest hundred dollars.
Answers
Answer:
a) $497.70
b) 392.4 square feet
c) $1,200
Step-by-step explanation:
Part (a)A regular octagon has 8 sides of equal length.
Given each side of the octagon measures 9 feet in length, and one side does not have a railing, the total length of the railing is 7 times the length of one side:
\(\textsf{Total length of railing}=\sf 7 \times 9\; ft=63\;ft\)
If the railing sells for $7.90 per foot, the total cost of the railing can be calculated by multiplying the total length by the cost per foot:
\(\textsf{Total cost of railing}=\sf 63\;ft \times \dfrac{\$7.90}{ft}=\$497.70\)
Therefore, the cost of the railing is $497.70.
\(\hrulefill\)
Part (b)To find the area of the regular octagonal gazebo, given the side length and apothem, we can use the area of a regular polygon formula:
\(\boxed{\begin{minipage}{6cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{n\;s\;a}{2}$\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the length of one side.\\ \phantom{ww}$\bullet$ $a$ is the apothem.\\\end{minipage}}\)
Substitute n = 8, s = 9, and a = 10.9 into the formula and solve for A:
\(\begin{aligned}\textsf{Area of the gazebo}&=\sf \dfrac{8 \times 9\:ft \times10.9\:ft}{2}\\\\&=\sf \dfrac{784.8\;ft^2}{2}\\\\&=\sf 392.4\; \sf ft^2\end{aligned}\)
Therefore, the area of the gazebo is 392.4 square feet.
\(\hrulefill\)
Part (c)To calculate the cost of the gazebo's flooring if it costs $3 square foot, multiply the area of the gazebo found in part (b) by the cost per square foot:
\(\begin{aligned}\textsf{Total cost of flooring}&=\sf 392.4\; ft^2 \times \dfrac{\$3}{ft^2}\\&=\sf \$1177.2\\&=\sf \$1200\; (nearest\;hundred\;dollars)\end{aligned}\)
Therefore, the cost of the gazebo's flooring to the nearest hundred dollars is $1,200.
a. To find the perimeter of the gazebo, we can use the formula P = 8s, where s is the length of one side. Substituting s = 9, we get:
P = 8s = 8(9) = 72 feet
Since one side is open, we only need to find the cost of railing for 7 sides. Multiplying the perimeter by 7, we get:
Cost = 7P($7.90/foot) = 7(72 feet)($7.90/foot) = $4,939.20
Therefore, the cost of the railing is $4,939.20.
b. To find the area of the gazebo, we can use the formula A = (1/2)ap, where a is the apothem and p is the perimeter. Substituting a = 10.9 and p = 72, we get:
A = (1/2)(10.9)(72) = 394.56 square feet
Therefore, the area of the gazebo is 394.56 square feet.
c. To find the cost of the flooring, we need to multiply the area by the cost per square foot. Substituting A = 394.56 and the cost per square foot as $3, we get:
Cost = A($3/square foot) = 394.56($3/square foot) = $1,183.68
Rounding to the nearest hundred dollars, the cost of the flooring is $1,184. Therefore, the cost of the gazebo's flooring is $1,184.
#SPJ1
There is a $30 fee to rent a tool from Jeff’s Tool Rentals plus $6 per day. If Hector rents a jackhammer for 5 days, what is his total bill?
Answers
Answer: 60$
Step-by-step explanation:
because you have the initial 30$ One time fee then you times 6$ by 5 days and 6x5= 30 then you add 30+30= 60
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answers
Answer:
75%
Step-by-step explanation:
math go brr
Proofs and congruent triangles ( serious full answers only or 1 star and report )
Answers
Answer:
There are 5 ways to find if two triangles are congruent.
SSS- {Side Side Side Congruence.}
This law of congruence states that if we have two triangles, each with the same measures on each 3 sides it deems the triangles congruent.
SAS- {Side Angle Side Congruence.}
This law of congruence states that if we have two triangles, with 2 equal sides and one angle which is common among them; the triangles are congruent.
ASA- {Angle Side Angle Congruence.}
This law of congruence states that if we have two triangles, with 2 congruent angle measures and 1 congruent side; the triangles are indeed congruent.
AAS- {Angle Angle Side Congruence.}
You may be wondering how this law of congruence differs from the previous one. ASA refers to any two angles and the included side, whereas AAS refers to the two corresponding angles and the non-included side.
HL- {Hypotenuse Leg Congruence.}
This law of congruence states that if we have two triangles, with a common (congruent) leg and hypotenuse; the triangles are congruent.
I really hoped this helped, if it didn't leave a comment I am always open to feedback. If it did let me know, brainiest is always appreciated!
Hope you have a great rest of your day.
Answer:
Step-by-step explanation:
for completeness, here is the answer again:
1 Given is correct
2 Definition of right angle is correct
3 should be sum of interior angles in a triangle
4 is substitution
5 subtracting 90degree from left and right hand side
6 is definition of complementary angles
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answers
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
Read more about tangent lines at
https://brainly.com/question/21595470
#SPJ1
Answer correctly for brainlist
Answers
Answer:
Quadrilaterals
Step-by-step explanation:
Use the distance formula too find the like segments that are graphed
Answers
The result is. It indicates that there exist 17 units between the two points supplied as the answer to the given distance problem.
Specify the distance.An object's travels are quantified by distance. Simply explained, distance, or t, is the amount of space an object covers within a specific period of time. Displacement is still the quickest route a moving object can travel. We frequently take into account the concepts of distance and motion.
Here,
the numbers (6, -3) & (2, -2)
The distance among points (a, b) and (c, d) is now
d= √(c-a)² + ( d- b) ( d- b) ²
Consequently, d= (-3+2)2 + (2-6)2
d= √ 1 + 16
d= √17
Therefore, there are 17 units between the two places.
As a result. The answer to the above distance calculation issue indicates that there are 17 units between the two points.
To know more about distance , visit
brainly.com/question/15172156
#SPJ1
Assuming that boy and girl babies are equally likely, what would be Kathy's probability of having at most one daughter if she
were to have four children altogether? (You may want to use a tree diagram to construct the sample space.)
The probability is
(Type an integer or a simplified fraction.)
Answers
Answer: 0.3125.
Step-by-step explanation:
The chance of having a boy is 0.5, the chance of having a girl is also 0.5.Outcome 1: all boys
boy boy boy boy
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
Outcome 2: first child is a girl, all others are boys
girl boy boy boy
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
Outcome 3: second child is a girl, all others are boys
boy girl boy boy
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
Outcome 4: third child is a girl, all others are boys
boy boy girl boy
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
Outcome 5: fourth child is a girl, all others are boys
boy boy boy girl
0.5 * 0.5 * 0.5 * 0.5 = 0.0625
Therefore,
0.0625 + 0.0625 + 0.0625 + 0.0625 + 0.0625 = 0.0625 * 5 = 0.3125
Below is a square with diagonal AC
А
4
D
B
C
Use what you know about special right triangles to determine the distance of the following:
АС
DC -
Answers
Hello!
This is an equilateral triangle. In this triangle, the angles are congruent, respectively, the sides. Here, the mediator corresponds to the bisector, the median. So this line will form two right triangles.
Th 30-60-90
I used the 30-60-90 theorem, which says that the opposing the angle of 30 degrees has the length equal to half the hypotenuse.
Th Pitagora's
Which states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
Good luck:)
Rewrite without parentheses and simplify.
(u+6)²
Ú
Answers
Answer:
u² + 36 + 12uStep-by-step explanation:
(u + 6)² =
u² + 36 + 12u
Answer:
\(u^2+12u+36\)
Step-by-step explanation:
\(\begin{aligned}& \textsf{Given}: & & (u+6)^2 \\\\& \textsf{Expand the square}: & & (u+6)(u+6)\\\\& \textsf{Distribute}: & & u(u+6)+6(u+6)\\\\& \textsf{Distribute}: & & u^2+6u+6u+36\\\\& \textsf{Combine like terms}: \quad & &u^2+12u+36\end{aligned}\)
Helpppp me tell me the fraction
Answers
Answer: \(\frac{5}{6}\) of a yard
=========================================================
Explanation:
The longest is \(\frac{6}{6}\) yard and the shortest is \(\frac{1}{6}\) of a yard.
This is because 6 is the largest numerator and 1 is the smallest numerator.
Subtract the two fractions:
\(\frac{6}{6} - \frac{1}{6} = \frac{6-1}{6} = \frac{5}{6}\)
We subtract the numerators while the denominator stays the same at 6 the entire time.
This is the difference between the longest and shortest ribbon, and the unit is in yards.
Write a quadratic function in vertex form whose graph has the vertex (1,2) and passes through the point (3,10)
Answers
Answer:
y= 2(x-1)^2 +2
Step-by-step explanation:
a= y-2/(x-1)^2
a=10-2/ (3-1)^2 = 8/4 =2
y= 2(x-1)^2 +2
PLEASE HELPP!!! MIDDLE SCHOOL MATH!!!!!!!
In the figure shown, m∠2 is 16 more than 3 times m∠1. Find the measure of each angle.
PLEASE LOOK AT PICTURE BELOW!!!!!! SHOW WORK PLEASEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
m∠1 = 41°
m∠2 = 139°
Step-by-step explanation:
Set variables:
1. ∠1 = x
2. ∠2 = y
Make first equation:
It says "m∠2 is 16 more than 3 times m∠1."
So let's convert that into an equation:
y = 16° + 3x
Now, by looking at the photo, we can tell that its a straight line, which is equal to 180°
Derived from that, we can get m∠1 + m∠2 = 180°, which in other "words" is x + y = 180°.
Great, now we have our 2 equations, and we just have to solve.
Equations:
1. y = 16° + 3x
2. x + y = 180°
Let's substitute what we have for y into the second equation:
x + (16° + 3x) = 180°
Solve:
(We can take out parentheses because it's a "+" sign)
Combine like terms:
4x + 16° = 180°
Subtract 16° from both sides
4x = 164°
Isolate x by dividing both sides by 4
x = 41°
Substitute:
Now that we have x = 41°, we can substitute that in for the equation - "y = 16° + 3x"
New Equation:
y = 16° + 3(41°)
Solve:
Multiply 3 and 41°, which is 123°
y = 16° + 123°
Simplify:
y = 139°
Reminder:
m∠1 = x
m∠2 = y
Therefore,
m∠1 = 41°
&
m∠2 = 139°
Hopefully this helps!
(If you want, please mark me brainliest tomorrow)
Answer:
Basically, a straight line is equal to 180 degrees. If angle 2 is 16 more than 3 times angle 1, we get the equation of y = 16 + 3x. Put them together and you get x + 16 + 3x = 180. Then you just solve, and get x = 41. Then you put x in for the other equation and get y = 139.
The numbers in this sequence increase by the same amount each time
Answers
The missing numbers in the sequence are 4/7 and 2 2/7
The greater numbers in the sets are 1 3/5, 1.9, 1.8 and 1.67
The complete equation is 1/5 + 1/3 + [7/15] = 1
Calculating the missing number in the sequence
The numbers in the sequence increase by the same amount each time
This means that
The sequence has a common difference i.e. arithmetic sequence
So, the common difference is
d = 1 3/7 - 1
This gives
d = 3/7
For the first term, we have
a + 3/7 = 1
When evaluated, we have
a = 4/7
For the last term, we have
Last - 3/7 = 1 12/14
Last - 3/7 = 1 6/7
When evaluated, we have
Last = 1 6/7 + 3/7
Last = 1 9/7
So, we have
Last = 2 2/7
Hence, the missing number in the sequence are 4/7 and 2 2/7
Circling the greater numberHere, we have
1 3/5 and 1.55
1 9/200 and 1.9
1 2/3 and 1.8
1 7/20 and 1.67
The greater numbers in the above sets are 1 3/5, 1.9, 1.8 and 1.67
Completing the fraction equationHere, we have
1/5 + 1/3 + [ ] = 1
So, we have
[ ] = 1 - 1/5 - 1/3
Take the LCM and evaluate
[ ] = 7/15
Hence, the complete equation is 1/5 + 1/3 + [7/15] = 1
Read more about sequence at
https://brainly.com/question/7882626
#SPJ1
The zeros of a quadratic function are 2 and 6. What is the equation of the axis of symmetry of this
function's graph?
Answers
Answer:
The equation of the axis of symmetry of this quadratic graph is x = 4.
Addy’s monthly water bills for last year are $27, $31, $30, $26, $25, $27, $37, $33, $32, $28, $26, $26. Express the formula for the mean using sigma notation and calculate the mean water bill for the year. Extend Your Understanding
Answers
Answer:
Σ( xi ) / n ; $29
Step-by-step explanation:
Given the following data:
X= $27, $31, $30, $26, $25, $27, $37, $33, $32, $28, $26, $26
Number of observations (n) = 12
Mean formula (m) = ( Σ xi ) / n
Where i = each individual value in X
Mean water bill for the years is thus :
m = Σ [(27 + 31 + 30 + 26 + 25 + 27 + 37 + 33 + 32 + 28 + 26 + 26)] / 12
m = 348 / 12
m = 29
Hence, the mean water bill for the year is $29
Suppose the value R(d) of d dollars in euros is given by R(d)-d The cost P(n) in dollars to purchase and ship n purses is given by P(n)- 66n+23. Write a formula for the cost Q(n) in euros to purchase and ship n purses. It is not necessary to simplify Q(n) D
Answers
Corrected Question
Suppose the value R(d) of d dollars in euros is given by \(R(d)=\dfrac67 d\). The cost in dollars to purchase and ship n purses is given by P(n)=66n+23. Write a formula for the cost, Q(n) in euros to purchase and ship n purses.
Answer:
\(Q(n)=\dfrac67(66n+23)\)
Step-by-step explanation:
The value R(d) of d dollars in euros is given by \(R(d)=\dfrac67 d\)
Therefore:
\(R(1)=\dfrac67\)
\(T$hat is, 1 dollars =\dfrac67$ euros\)
The cost P(n) in dollars to purchase and ship n purses is given by:
\(P(n) = 66n+23.\)
Therefore, the cost, Q(n) in euros to purchase and ship n purses
\(=\dfrac67 \cdot P(n)\\Q(n)=\dfrac67(66n+23)\)
Carlos used 100 bricks to build a 20 foot wall. How many bricks would be used for a 25 foot wall?
Answers
80 81 82 83 84 85 86 87 88 89 90
Anika's test scores are shown below.
Anika's Test Scores
80 81 82 83 84 85 86 87 88 89 90
Which statement compares the shape of the two dot plots?
There is a gap in both plots.
There is a gap in Anika's scores, but not in Lorenzo's scores.
The data is widely spread across both plots.
The data is more widely spread for Lorenzo's scores than for Anika's.
Mark this and return
Save and Exit
Answers
Answer:
D :)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Braily please