Answer:
92 degrees
Step-by-step explanation:
2(44)= 88
180-88= 92
Write the function rule g(x) after the given transformations of the graph of f(x) = -3x.
Reflection in the y-axis; vertical compression by a factor of 1/9.
g(x) = []
Can someone help please, tysm!
The function rule g(x) after the given transformations of the graph of f(x)= 3x is g(x) = 1/9x
Transformation techniques -
The act of shifting an object's location on the xy plane is referred to as transformation.
Given the parent function
f(x) = -3x
If the function is not reflected over x-axis, the resulting function will be f(x) = 3x
If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;
g(x) = 1/9( 3x)
g(x) = 1/9x
Hence the function rule g(x) after the given transformations of the graph of f(x)=3x is g(x) = 1/9x.
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In the following pattern, every group of rectangles has one more rectangle than the group before it, and
there is a rhombus before every group.
1
2.
3
4 5 6
7 8 9 10
OlODI ODDI
Which of the following statements are true?
Choose all answers that apply:
Every rhombus is an odd-numbered shape.
B
The next group will have 4 rectangles.
Shape 15 is a rectangle.
Answer:
The answer will be B as the next group will have four rectangles
Answer:
The next group will have 4 rectangles.
Step-by-step explanation:
the product of 2x and 3 is 138. find the number x
Answer:
x = 23
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3(2x) = 138
Step 2: Solve for x
Simplify: 6x = 138[Division Property of Equality] Divide 6 on both sides: x = 2315 points, I will give the brain award thing if u answer correctly. A triangle has sides with lengths of 2x - 9 ,5x - 3 and 2x -2. What is the perimeter of the triangle?
Which r–value represents the strongest negative correlation?.
The r-value ranges from -1 to +1, with -1 indicating a strong negative correlation. Therefore, the r-value closest to -1 represents the strongest negative correlation.
An r-value represents the strength and direction of a correlation between two variables. The strongest negative correlation occurs when the r-value is -1. In this case, as one variable increases, the other variable decreases consistently, showing a perfect negative linear relationship between the two variables.
The ability of a material to resist the flow of heat through it is gauged by the R-value , which is used in materials research and building construction. It measures the energy efficiency of insulation materials including fibreglass, foam board, and cellulose and is commonly represented in square metres kelvin per watt (m2K/W) units.
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A bouncy ball is dropped such that the height of its first bounce is 4.5 feet and each successive bounce is 73% of the previous bounce's height. What would be the height of the 10th bounce of the ball? Round to the nearest tenth (if necessary).
The height of the 10th bounce of the ball will be 0.6 feet.
What is geometric sequence?A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
What is the formula for finding the nth term of geometric sequence?The nth term of the geometric sequence is given by
\(\sf T_n=ar^{n-1}\)
Where,
\(\sf T_n\) is the nth term.r is the common ratioa is the first termAccording to the given question.
During the first bounce, height of the ball from the ground, a = 4.5 feet
And, the each successive bounce is 73% of the previous bounce's height.
So,
During the second bounce, the height of ball from the ground
\(\sf = 73\% \ of \ 10\)
\(=\dfrac{73}{100}(10)\)
\(\sf = 0.73 \times 10\)
\(\sf = 7.3 \ feet\)
During the third bounce, the height of ball from the ground
\(\sf = 73\% \ of \ 7.3\)
\(=\dfrac{73}{100}(7.3)\)
\(\sf = 5.33 \ feet\)
Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...
And the common ratio of the geometric sequence is 0.73
Therefore,
The sixth term of the geometric sequence is given by
\(\sf T_{10}=10(0.73)^{10-1\)
\(\sf T_{10}=10(0.73)^{9\)
\(\sf T_{10}=10(0.059)\)
\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)
Hence, the height of the 10th bounce of the ball will be 0.6 feet.
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The original price of a phone was reduced by $200.
If p = the phone's original price in dollars, which algebraic expression
represents the reduced price?
Answer:
B. p - 200
Step-by-step explanation:
Start with the original price, p.
When the price is reduced by $200, you are taking away $200 from the price, so you need to subtract $200 from the original price, p.
Answer: B. p - 200
please do help - this is my TENTH TRY DOING THIS
Answer: Box A is the first 2
Box C is the 3 option
Step-by-step explanation:
Is (S, R) a poset if S is the set of all people in the world and (a, b) ∈ R, where a and b are people, if a) a is taller than b? b) a is not taller than b? c) a = b or a is an ancestor of b? d) a and b have a common friend?
a) No, the relation (a, b) ∈ R if a is taller than b does not form a poset on the set of all people in the world. b) Yes, the relation (a, b) ∈ R if a is not taller than b forms a poset on the set of all people in the world. c) Yes, the relation (a, b) ∈ R if a = b or a is an ancestor of b forms a poset on the set of all people in the world. d) No, the relation (a, b) ∈ R if a and b have a common friend does not form a poset on the set of all people in the world.
a) The relation (a, b) ∈ R if a is taller than b does not form a poset on the set of all people in the world. This is because the relation is not reflexive, as a person cannot be taller than themselves.
b) The relation (a, b) ∈ R if a is not taller than b does form a poset on the set of all people in the world. This relation is reflexive, antisymmetric, and transitive. Every person is not taller than themselves, and if a person is not taller than another person and that person is not taller than a third person, then the first person is also not taller than the third person.
c) The relation (a, b) ∈ R if a = b or a is an ancestor of b does form a poset on the set of all people in the world. This relation is reflexive, antisymmetric, and transitive. Every person is an ancestor of themselves, and if a person is an ancestor of another person and that person is an ancestor of a third person, then the first person is also an ancestor of the third person.
d) The relation (a, b) ∈ R if a and b have a common friend does not form a poset on the set of all people in the world. This relation is not antisymmetric, as two people can have a common friend without being equal to each other.
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Charles and Jaden share a reward of $63 in a ratio of 2 : 5. How much does Jaden get?
Step by step please
Thank you asap
Answer:
Jaden gets $45
Step-by-step explanation:
2:5 is a part to part ratio, which means that there are seven parts. (2+5=7)
There are seven parts of 9 in 63. (63/7=9)
Charles gets two of those parts and Jaden gets 5 of those parts, so Charlies gets two 9s, and Jaden gets five 9s.
Charlie: 2 x 9 = 18
Jaden: 5 x 9 = 45
Find the simplified product: 2/5x^3(-3/10^2)
Answer:
−
-3^3/3250
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
correct on edge
Solve for 0 sin(84)=cos(0)
Answer:
Θ = 6°
Step-by-step explanation:
using the cofunction identity
cos(90 - x) = sinx , then
cos(90 - 84)° = sin84° , that is
sin84° = cos6°
with Θ = 6°
6th grade math help me pleasee
--------------------
1. Kris
2. Katie
---------------------
10. +
10. LCM and GCF
Sweet Charlotte has 24 pounds of popcorn, 36 pounds of fudge,
and 144 pounds of lollipops. They will ship out boxes that
contain all 3 items. Each box will have the same amount of
popcorn, fudge, and lollipops. What is the max number of boxes
they can ship out?
A 2 boxes B. 4 boxes C 12 boxes D. 24 boxes
A
B
Answer:
12 boxes or C.
Step-by-step explanation:
Max = divide.
GCF=12.
LCM = 144.
Difference:
144/12 or 12.
So 12 boxes
Hope this helps :D
Question 1 (Essay Worth 10 points)
(01. 02 MC)The number line shows the distance in meters of two jellyfish, A and B, from a predator located at point X:
A horizontal number line extends from negative 3 to positive 3. The point A is at negative 1. 5, the point 0 is labeled as X, and the point labeled B is at 0. 5.
Write an expression using subtraction to find the distance between the two jellyfish. (5 points)
Show your work and solve for the distance using additive inverses. (5 points)
An expression to find the distance between the two jellyfish is B - A.
The distance is 2.0 meters.
What is a number line?In Mathematics and Geometry, a number line simply refers to a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).
Therefore, the required expression for the distance between the two jellyfish is given by;
Distance = B - A
Distance = 0.5 - (-1.5)
Distance = 0.5 + 1.5
Distance = 2.0 m.
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HELP ASAP!!! PLEASE SHOW SOLUTIONS!!
Answer:
84 ways3,780 numbers3,628,800 waysStep-by-step explanation:
Solving :
Q1
No. of ways to choose 6 from 9 :⁹C₆ = 9! / 6! 3! 9 x 8 x 7 x 6! / 6! x 3 x 23 x 4 x 728 x 384 waysQ2
No. of numbers with distinguishable digits :9! / 4! 2! 2!9 x 8 x 7 x 6 x 5 x 4! / 4! x 2 x 29 x 2 x 7 x 6 x 510 x 63 x 6378 x 103,780 numbersQ3
No. of ways to arrange :10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 290 x 56 x 30 x 245040 x 7203,628,800 waysSonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation , where d represents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have
The number of nickels that Sonji has as per the given equation is 63.
What is the value of N mean?In mathematical operations, “n” is a variable, and it is often found in equations for accounting, physics and arithmetic sequences. A variable is a letter or symbol that stands for a number and is used in mathematical expressions and equations. In an arithmetic sequence, which is a list of numbers that follow a pattern, “n” is a variable representing the number of the term to find.For instance, if students want to find the value of the seventh term, “n” would be 7. In physics, an equation for standing waves uses “n” as an integer symbolizing the harmonic number or number of antinodes. The equation evaluates the length of the string in terms of its wavelength. In accounting, “n” is used in the equation for compound interest. It represents the number of compounding in 1 year.We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.
0.10d + 0.05n = 5.25
0.10(21) + 0.05n = 5.25
2.10 + 0.05n = 5.25
0.05n = 3.15
n = 3.15 / 0.05
n = 315 / 5
n = 63
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What is the growth rate for the linear function y=mx+b?
Answer:
m
Step-by-step explanation:
the slope or growth rate of the function is the coefficient of the variable x, which is m in this case
Multistep income statement In 2011. Grice Incorporated sold land fpr $95,000 cash. The land had originally cost $50,000. Also, Grice sold inventory that had Cost $200,000 for 5275,000 cash. Operating expenves amounted to $52,000. Required Accounting for Merchandising Busnesses 223 a. Prepare a 2011 multistep income statement for Grice Incorporated. b. Assume that norpal operating activities grow evenly by 10% during 2012. Prepare a 2012 multistep inconre statement of Grice lncorporated. c. Determine thepercentage change in net income between 2011 and 2012 . d. Should the stoskholders have expected the results determined in requirement "e"? Explain your answer.
A multistep income statement is a kind of statement of earnings that separates a business's revenue and expenses into multiple categories to help calculate gross profit and net income more precisely. Grice Incorporated's 2011 multistep income statement is shown below:
Grice Incorporated Multistep Income Statement For the Year Ended December 31, 2011Sales Revenue $275,000Cost of Goods Sold: Beginning Inventory $0Add: Purchases $200,000. Goods Available for Sale $200,000Less: Ending Inventory $0Cost of Goods Sold $200,000Gross Profit $75,000. Operating Expenses: Selling Expenses $16,000Administrative Expenses $36,000Total Operating Expenses $52,000Income from Operations $23,000Other Income $95,000Net Income $118,000b.
The 2012 multistep income statement for Grice Incorporated is prepared based on the assumption that normal operating activities grow evenly by 10%. The statement is shown below:
Grice Incorporated Multistep Income Statement For the Year Ended December 31, 2012Sales Revenue $302,500Cost of Goods Sold: Beginning Inventory $0Add: Purchases $220,000Goods Available for Sale $220,000Less: Ending Inventory $0Cost of Goods Sold $220,000Gross Profit $82,500Operating Expenses: Selling Expenses $17,600Administrative Expenses $39,600Total Operating Expenses $57,200Income from Operations $25,300Other Income $0Net Income $25,300c.
The percentage change in net income between 2011 and 2012 is calculated as follows:
Change in Net Income = (Net Income 2012 - Net Income 2011) / Net Income 2011= (25,300 - 118,000) / 118,000= -78.1%Therefore, the percentage change in net income between 2011 and 2012 is -78.1%.d.
No, the stockholders should not have expected the results determined in requirement "e" because the percentage change in net income between 2011 and 2012 is -78.1%. The decrease in net income was caused by the absence of extraordinary gains in 2012, which were present in 2011. However, the growth in normal operating activities had a positive impact on the company's gross profit and income from operations in 2012. Therefore, the stockholders' expectations should have been based on a comprehensive analysis of the company's financial performance in both years.
The multistep income statement helps to present the financial results of a business with more accuracy by separating revenues and expenses into multiple categories. It also assists in identifying trends and growth rates of the company. In the case of Grice Incorporated, the net income decreased by 78.1% in 2012 due to the absence of extraordinary gains in 2011, but the growth in normal operating activities had a positive impact on the gross profit and income from operations.
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Graph: y - 10 = -2(x – 10) Y χ y 30 20 10 X -10 10 20 -10 Draw Click or tap the graph to plot a point.
please answer question 98 please!
thanks
Please help now asap !!!!
Write a coordinate proof. Prove quadrilateral WXYZ, having vertices W(-5, 6), X(-1, 10), Y(1, 4), and Z(-2, -3) is a trapezoid.
Answer:
The diagonals are bisectors of each other and meet at (1, -5/2) but are not congruent, so WXYZ is a parallelogram and not a rectangle
Step-by-step explanation:
for parallelograms.
the diagonals intersect at the midpoints
W X
Z Y
Diagonals are WY and XZ
WY : (-4, -3) to (6, -2)
midpoint is [(-4 + 6)/2 , (-3 - 2)/2 ] = ( 1, -5/2 )
XZ : (0, -1) to (2, -4)
midpoint is [ (0 + 2)/2 , (-1 + -4)/2 ] = (1, -5/2)
The diagonals are bisectors of eachother.
Next show that these diagonals are not congruent.
length of WY = root ( (-4 - 6)^2 + (-3 - (-2))^2 )
WY = root ( 100 + 1)
WY = root(101)
length of XZ = root ( (0 - 2)^2 + ( -1 - -4)^2 )
XZ = root (4 + 9) = root (13)
we see that WY is not equal to XZ
...
so .. quadrilateral WXYZ is a parallelogram but not a rectangle.
What is the area, in square inches, of this trapezoid?
A trapezoid. The bases measure 7 inches and 13 inches. The height is 6 inches. It is divided into a right triangle, rectangle, and another right triangle. The top base of the rectangle is the upper base of the trapezoid. The bases of the rectangle and both triangles form the trapezoid's lower base.
© 2018 StrongMind. Created using GeoGebra.
Enter your answer as a number, like this: 42
Do not enter any units.
Answer:
60
Step-by-step explanation:
Area = ((a+b)/2)h=((7+13)/2)*6=60
An object is hanging from two ropes. One rope has a tension of 200 N and makes an angle of 50° with the ceiling. The other rope makes an angle of 40° with the ceiling. Include a fully labelled diagram. (Assume that acceleration due to gravity is 9.8 m/s².) [A3] a) Calculate the tension in the second rope. b) Calculate the force of gravity acting on the object.
Step-by-step explanation:
a) Let's first calculate the tension in the second rope.To calculate the tension in the second rope, we will use the fact that the object is stationary (not moving), which means that the forces acting on it are balanced. This means that the tension in the two ropes must be equal.We can write the equation: T1 = T2where T1 is the tension in the first rope (200 N) and T2 is the tension in the second rope.Let's rearrange the equation to find T2:T2 = T1 = 200 NT2 = 200 NTherefore, the tension in the second rope is 200 N.b) Now let's calculate the force of gravity acting on the object. The force of gravity is the weight of the object, which can be calculated using the equation:F = mgwhere F is the force of gravity, m is the mass of the object, and g is the acceleration due to gravity (9.8 m/s²).To find the mass of the object, we need to use the fact that the forces acting on the object are balanced. This means that the upward force (the tension in the ropes) must be equal to the downward force (the force of gravity).We can write the equation:T1 cos 50° + T2 cos 40° = mgwhere T1 is the tension in the first rope, T2 is the tension in the second rope, and m is the mass of the object.Let's substitute the values we know:T1 = 200 NT2 = 200 N50°T2 = 200 N cos 50° = 128.19 N40°T1 = 200 N cos 40° = 153.65 Nm = (T1 cos 50° + T2 cos 40°) / g= (153.65 N + 128.19 N) / 9.8 m/s²= 28.09 kgNow we can calculate the force of gravity:F = mg= 28.09 kg × 9.8 m/s²= 275.08 NTherefore, the force of gravity acting on the object is 275.08 N.
Hope you understood it...
test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
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Consider a regular hexagon centered at (3,4). Describe a rotation that
will map this regular hexagon onto itself.
Answer:
36- degree rotation m8
Step-by-step explanation:
mark me brainliest :)
given two decision-makers, one a risk taker and the other a risk avoider, the risk avoider will show a diminishing marginal return for money. (True or False)
False, While risk avoiders may generally show diminishing marginal returns for money, the specific circumstances of the two decision-makers and the level of risk they take can have a significant impact on their financial outcomes.
Factors such as their personal financial situation, the potential rewards and consequences of the decision, and their risk tolerance can all influence the final outcome. Without further information, it is impossible to determine whether the statement is true or false.
A risk avoider, also known as a risk-averse individual, tends to make decisions that prioritize minimizing risks over maximizing potential rewards. As a result, they often exhibit diminishing marginal returns for money, meaning that the incremental value or satisfaction they receive from additional money decreases as their wealth increases. This is because risk avoiders prefer to have a more stable financial situation and are less likely to take risks to achieve potentially higher returns, which might lead to losses.
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Find the polar coordinates, −π≤θ<π and r≤0, of the following points given in Cartesian coordinates. a. (−6,0) b. (6,0) c. (0,−4) d. (22,22)
The polar coordinates are (31.1127, π/4)
The polar coordinates are (4, -π/2).
a. For the point (-6, 0), we have:
r = √((-6)^2 + 0^2) = √(36) = 6
θ = arctan(0 / -6) = arctan(0) = 0
Therefore, the polar coordinates are (6, 0).
b. For the point (6, 0), we have:
r = √((6)^2 + 0^2) = √(36) = 6
θ = arctan(0 / 6) = arctan(0) = 0
Therefore, the polar coordinates are (6, 0).
c. For the point (0, -4), we have:
r = √(0^2 + (-4)^2) = √(16) = 4
θ = arctan((-4) / 0) = arctan(-∞) = -π/2
Therefore, the polar coordinates are (4, -π/2).
d. For the point (22, 22), we have:
r = √((22)^2 + (22)^2) = √(484 + 484) = √(968) ≈ 31.1127
θ = arctan((22) / (22)) = arctan(1) = π/4
Therefore, the polar coordinates are (31.1127, π/4).
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Problem 2: In a manufacturing plant that makes cell phone sim cards defects are treated by running the sim card through a machine that runs a short repair routine. The machine takes exactly 2 minutes to repair each sim card. The plant manager noticed that defects occurred randomly and decided to do a time study. They discovered that the average time in between the occurrence of defects was 2.5 minutes and that the time in between defects was exponentially distributed. What is the average number of sim cards at the repair machine
The average number of sim cards that are at the repair machine at any given time, based on the Poisson distribution and the given parameters.
Based on the information provided, we can use the Poisson distribution to calculate the average number of sim cards at the repair machine.
First, we need to find the rate parameter, which is the average number of defects per unit time. We know that the time in between defects follows an exponential distribution with an average of 2.5 minutes. The rate parameter (λ) is the inverse of the average time between defects, so λ = 1/2.5 = 0.4 defects per minute.
Next, we can use the Poisson distribution formula:
P(k defects in t minutes) = (λt)^k * e^(-λt) / k!
We want to find the expected number of sim cards at the repair machine, which is the average number of defects that occur in the 2 minutes it takes to repair each sim card. So we can set t = 2 and solve for k:
P(k defects in 2 minutes) = (0.4 * 2)^k * e^(-0.4 * 2) / k!
We can use a table or calculator to find the probabilities for different values of k. For example, P(0 defects) = 0.329, P(1 defect) = 0.391, P(2 defects) = 0.195, etc.
To find the expected number of sim cards at the repair machine, we can multiply each probability by the corresponding number of sim cards (k) and add them up:
E(number of sim cards) = 0 * 0.329 + 1 * 0.391 + 2 * 0.195 + ...
This sum can be approximated using a calculator or spreadsheet. The answer will be the average number of sim cards that are at the repair machine at any given time, based on the Poisson distribution and the given parameters.
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