Answer:
y=-2
Step-by-step explanation:
y=-2*-7*+8y
y= 14+8y
-7y=14
y=-2
Determine the angles of b and c . Let a =40’ if b is a compliment of a and c is a supplement of b find these measures
Answer:
b = 50°
c = 130°
Step-by-step explanation:
Two angles A and B are complementary if:
A + B = 90°
And two angles are supplementary if:
A + B = 180°
Then, we know that:
a = 40°
b is a complement of a (this means that a and b are complementary angles)
c is a supplement of b (this means that b and c are supplementary angles).
From the first statement, we have that:
b + a = 90°
Replacing the value of a we get
b + 40° = 90°
b = 90° - 40° = 50°
b = 50°
And now we can use that b and c are supplementary, then:
b + c = 180°
replacing the value of b we get:
50° + c = 180°
c = 180° - 50° = 130°
c = 130°
Then the values we wanted are:
b = 50°
c = 130°
Paul writes newspaper articles. He earns a base rate of $500 per month and an additional $100 per article he writes. Last month he earned $2000.
Write an equation to determine the number of articles (a) he sold last month.
Answer:
Total earning last month with x articles is:
x*100 + 500This is same amount as 2000
The equation is:
100x + 500 = 200025/24 as a decimal rounded to nearest hundredth
Divide 25 by 24:
25 / 24 = 1.0416
The hundredth place is the second decimal place, because the third decimal place is less than 5, the hundredths place stays the same:
Answer: 1.04
Lisa bought a house The value of the house increased by 1.5% each year for 2 years. At the end of 2 years, the value of the house was £123,627. Work out the value of the house when Lisa bought it.
Answer:
$370,881
Step-by-step explanation:
firstly we we multiply 1,5% by 2yrs. the answer we get is 3,0%. we then multiply 3 % by $123,627 and get $370,881
If Lisa bought a house The value of the house increased by 1.5% each year for 2 years. The value of the house was £123,627. The initial amount of the house is 95120.7.
What is Percentage?Percentage, a relative value indicating hundredth parts of any quantity.
Given,
Lisa bought a house The value of the house increased by 1.5% each year for 2 years
By the end of 2 years, the value of the house was £123,627.
A=P(1+rt)
A is the final amount,
r is rate of interest
t is the time
P is principle amount.
123,627=P(1+1.5/100 (2))
123657=P(1+0.15(2))
123657=P(1+0.3)
123657=1.3P
Divide both sides by 1.3
P=95120.7
The initial amount of the house when Lisa bought is 95120.7
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Which figure can be formed from the net?
pls answer fast for brainiest !
Answer:
It should be the top right one
(with 6ft as the height)
Step-by-step explanation:
Answer:
It must be the lower to the left choice.
Step-by-step explanation:
As you can see, the net we have is composed of only triangles.
So we should be choosing a figure with a triangular base.
Our answers are narrowed down into the top right and lower left choices because both figures have triangular bases.
The other person down there chose the top right choice and was incorrect, so the answer should be the lower to the left figure.
Also, its the lower left figure because look at the triangular base, it is an isosceles meaning that two sides have the same length.
If the net says that the long side measures 9 ft, then the other two sides should be the same length and shorter than 9 ft. So the answer is the lower left figure.
Hope this helps
if a=(1 2 3 4) find A×A and the relation determined by (I) y=2x (II) x+y
Answer:
HOPE IT HELPS PLZ MARK ME BRAINLIEST
Step-by-step explanation:
A={1,2,3,4,5,6}
R={(x,y):y is divisible by x}
We know that any number (x) is divisible by itself.
(x,x)∈R
∴R is reflexive.
Now,(2,4)∈R [as 4 is divisible by 2]
But,(4,2)∈ /
R. [as 2 is not divisible by 4]
∴R is not symmetric.
Let (x,y),(y,z)∈R. Then, y is divisible by x and z is divisible by y.
∴z is divisible by x.
⇒(x,z)∈R
∴R is transitive.
Hence, R is reflexive and transitive but not symmetric.
6. Two cell phone companies charge a flat fee plus an added cost for each minute or part of a minute used. The cost is represented by C and the number of minutes is represented by t.
Call-More: C = 0.40t + 25 Talk-Now: C = 0.15t + 40
a) Which company is cheaper if a customer talks for 50 minutes. (1 mark)
b) Under what conditions do the two companies charge the same? (3 marks)
c) Under what conditions is Talk-Now better? Explain
Answer:
Call More is cheaper at 50 minutes
The two companies would charge the same for 60 minutes of use.
Talk Now is cheaper the more minutes you talk. At some point the rate of change of Call More makes it more expensive. That point is just after their costs are even.
Step-by-step explanation:
Two different types of injection-molding machines are used to form plastic parts. Two random samples, each of size 300, are selected. 15 defective parts are found in the sample from machine 1 and 8 defective parts are found in the sample from machine 2. Is it reasonable to assume that both machines have the same defective rate
Answer:
No it is not since there is 15 defectice parts in 2machines and there is 8 broken parts in the one machine
Hope This Helps!!!
Help please!!
The triangles are similar by:
the SAS similarity theorem.
the ASA similarity theorem.
the AA similarity postulate.
None of the choices are correct.
the SSS similarity theorem.
LOOK AT THE BOTTOM PLEASE BE RIGHT
Answer:
Translation
Step-by-step explanation:
A translation is when the triangle is moved around on the graph without it being reflected or changed in any way. I will be the same exact triangle, just with different coordinates.
Hope this helps!
what is equivalent to x-2(3x-1)=3x
Answer:
1/4 = x
Step-by-step explanation:
x - 2( 3x - 1 ) = 3x
Step 1 :- Distribute 2
x - 2 × 3x - 2 × 1 = 3x
x - 6x + 2 = 3x
Step 2:- Combine like terms
-5x + 2 = 3x
Step 3 :- Add 5x to both sides
-5x + 5x + 2 = 3x + 5x
2 = 8x
Step 4 :- Divide both side by 8
2/8 = 8x / 8
1/4 = x
Necesito ayuda con esto
Answer:
La suma de las dos matrices cuadradas de dimensión 2 es [tex]\vec U = \left[\begin{array}{cc}-1&11\\2&5\end{array}\right][/tex].
Step-by-step explanation:
Considerando que se tratan de dos matrices de igual dimensión y cuyos elementos son números reales, conocemos que la adición entre dos matrices consiste en las sumas de los elementos de igual posición, esto es, los elementos que están localizados en las mismas filas y columnas, entonces, la suma es:
[tex]\vec A = \left[\begin{array}{cc}1&2\\-1&0\end{array} \right][/tex], [tex]\vec B = \left[\begin{array}{cc}-2&9\\3&5\end{array}\right][/tex]
[tex]\vec U = \vec A + \vec B = \left[\begin{array}{cc}1 + (-2)&2+9\\-1 + 3&0 + 5\end{array}\right][/tex]
[tex]\vec U = \left[\begin{array}{cc}-1&11\\2&5\end{array}\right][/tex]
La suma de las dos matrices cuadradas de dimensión 2 es [tex]\vec U = \left[\begin{array}{cc}-1&11\\2&5\end{array}\right][/tex].
A piece of wood is cut into three pieces in the ratio 6: 5: 2. If the log is 61/2 feet long, what will be the length of the longest piece
Answer:
14.077 feet to the nearest thousandth.
Step-by-step explanation:
First let's work out the multiplier:
6 + 5 + 2 = 13.
61/2 = 30.5
- so the multiplier is 30.5/13 = 2.34615
The longest piece refers to the 6 in the ratio its length
= 6 * 2.34615
= 14.0769 ft.
Mark gathered data about the number of pink and red flowers that bloomed on several of his flowering shrubs. The scatter plot shows the data he gathered and the line of best fit.
The scatter plot showing data gathered and line of best fit is attached below :
Answer:
69
Step-by-step explanation:
Given the regression model :
y = 1.73x + 0.0924
Where,
y = number of pink flowers
x = Red flowers
Slope = 1.73
Intercept = 0.0924
The number of pink flower that are predicted to bloom on a shrub of 40 red flowers :
Put x = 40 and calculate the value of y
y = 1.73(40) + 0.0924
y = 69.2 + 0.0924
y = 69.2924
Number of pink flowers = 69
Please help me on this real quick
in the diagram below, BD is parallel to XY. what is the value of y?
a. 70
b. 130
c. 110
d. 20
I can't see the diagram sorry.
Step-by-step explanation:
Is there supposed to be a picture attached?
The waiting time for a fire department to get called to a house fire is exponentially distributed with an average wait time of 14 minutes. Given that it has already taken 11 minutes, what is the probability that the wait time will be more than an additional 16 minutes?
Answer:
0.319 = 31.9% probability that the wait time will be more than an additional 16 minutes
Step-by-step explanation:
To solve this question, we need to understand the exponential distribution and conditional probability.
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: It has already taken 11 minutes.
Event B: It will take 16 more minutes.
Exponentially distributed with an average wait time of 14 minutes.
This means that [tex]m = 14, \mu = \frac{1}{14}[/tex]
Probability of the waiting time being of at least 11 minutes:
[tex]P(A) = P(X > 11) = e^{-\frac{11}{14}} = 0.4558[/tex]
Probability of the waiting time being of at least 11 minutes, and more than an additional 16 minutes:
More than 11 + 16 = 27 minutes. So
[tex]P(A \cap B) = P(X > 27) = e^{-\frac{27}{14}} = 0.1454[/tex]
What is the probability that the wait time will be more than an additional 16 minutes?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1454}{0.4558} = 0.319[/tex]
0.319 = 31.9% probability that the wait time will be more than an additional 16 minutes
Escreva a matriz A = (aij) do tipo 3x4 sabendo que aij = 3i – 2j.
Answer:
[tex]A = \left[\begin{array}{cccc}1&-1&-3&-5\\4&2&0&-2\\7&5&3&1\end{array}\right][/tex]
Step-by-step explanation:
A = (aij)
i representa a linha e j a coluna.
Tipo 3x4
Isto implica que a matriz tem 3 linhas e 4 colunas.
aij = 3i – 2j.
Primeira linha:
[tex]a_{1,1} = 3(1) - 2(1) = 1[/tex]
[tex]a_{1,2} = 3(1) - 2(2) = -1[/tex]
[tex]a_{1,3} = 3(1) - 2(3) = -3[/tex]
[tex]a_{1,4} = 3(1) - 2(4) = -5[/tex]
Segunda linha:
[tex]a_{2,1} = 3(2) - 2(1) = 4[/tex]
[tex]a_{2,2} = 3(2) - 2(2) = 2[/tex]
[tex]a_{2,3} = 3(2) - 2(3) = 0[/tex]
[tex]a_{2,4} = 3(2) - 2(4) = -2[/tex]
Terceira linha:
[tex]a_{3,1} = 3(3) - 2(1) = 7[/tex]
[tex]a_{3,2} = 3(3) - 2(2) = 5[/tex]
[tex]a_{3,3} = 3(3) - 2(3) = 3[/tex]
[tex]a_{3,4} = 3(3) - 2(4) = 1[/tex]
Matriz:
A matriz é dada por:
[tex]A = \left[\begin{array}{cccc}1&-1&-3&-5\\4&2&0&-2\\7&5&3&1\end{array}\right][/tex]
Verify that the equation is an identity.
Step-by-step explanation:
We need to prove that ,
cot x / csc x - csc x / cot x = - tan x sec x .
LHS :-
> cot x / csc x - csc x / cot x
> cos x / sin x ÷ csc x - sin x × csc x / cos x
> cosx - 1/ cos x
> cos² x - 1 / cos x
> - sin²x / cosx
> -sin x / cos x × sin x
> -tan x sin x
= RHS
Hence Proved !
Simplify.
Rewrite the expression in the form 6^n6
n
6, start superscript, n, end superscript.
\dfrac{6^{4}}{6}=
6
6
4
Answer:
6^3
6 to the third power
or 3x3x3
Step-by-step explanation:
The solution of the expression 6⁻⁴.6⁶ will be 6².
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is 6⁻⁴.6⁶. The expression will be solved as below:-
6⁻⁴.6⁶ = 6⁻⁴⁺⁶
Use the exponent property when the bases are the same then the powers will be added.
6⁻⁴.6⁶ = 6²
Therefore, the solution of the expression 6⁻⁴.6⁶ will be 6².
The complete question is to simplify the expression 6⁻⁴.6⁶.
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Complete the steps to solve the equation. 3x - 6(5x + 3) = 9x + 6 1. The distributive property 3x - 30x 18 = gr + 6 2 Combine like terms. -27x - 18 = 9x + 6 3. Addition property of equality: -18 = 36x + 6 4. Subtraction property of equality: -24 = 36x 5. Division property of equality I
Answer:
see below
Step-by-step explanation:
3x - 6(5x + 3) = 9x + 6
Distribute
3x -30x-18 = 9x+6
Combine like terms
-27x - 18 = 9x+6
Add 27x to each side
-27x+27x-18 = 9x+27x+6
-18 = 36x+6
Subtract 6 from each side
-18-6 = 36x+6-6
-24 = 36x
Divide by 36
-24/36 = 36x/36
Simplify
-2/3 = x
Answer:
[tex]\small \sf x = \frac{2}{-3} \\ [/tex]
Step-by-step explanation:
3x - 6(5x + 3) = 9x + 6.
Use the distributive property to multiply -6 by 5x + 3.
3x - 30x - 18 = 9x + 6
Combine 3x and -30x to get -27x.
-27x - 18 = 9x + 6
Subtract 9x from both sides.
-27x - 9x - 18 = 9x - 9x + 6
-36x - 18 = 6
Add 18 to both sides.
-36x - 18 + 18 = 6 + 18
-36x = 24
Divide both sides by -36.
[tex]\small \sf \frac{ -36x}{ -36} = \frac{24}{-36} \\ [/tex]
Reduce the fraction [tex]\frac{24}{-36} [/tex] to lowest terms by extracting and canceling out 12.
[tex]\small \sf x = \frac{2}{-3} \\ [/tex]
How would I solve the 4 questions on the picture?
Answer:
l don't know
Step-by-step explanation:
Which formula can be used to describe the sequence?
O f(x + 1) = f(x)
O f(x + 1) = - f(x)
O f(x) = f(x + 1)
O f(x) = - 3 f(x + 1)
Answer:
f(x+1) = -3/4 × f(x)
Step-by-step explanation:
first of all, the sign of the numbers in the sequence is alternating. so, there must be a "-" involved.
that eliminates the first and third answer options.
and the absolute values of the numbers in the sequence are going down. |f(x+1)| < |f(x)|
that eliminates the fourth answer option, as this says that
|f(x)| < |f(x+1)|. and that is the opposite of how the actual sequence behaves.
What is the value of h in the figure below? In this diagram, ABAD ~ ACBD.
Д.
С
0
20
А. 80
В. 16
ОО ооо
С. 60
D. 5
Е. 8
о
Е.
Answer:
[tex]h=\sqrt{16(4)}[/tex]
[tex]h=8[/tex]
[tex]ANSWER:E) 8[/tex]
-------------------------------
~HOPE IT HELPS
~HAVE A GREAT DAY!!
PLEASE HELP!!! What is the equation of the line perpendicular to 2x – 3y = 13 that passes through the point (–6, 5)?
Answer:
2x + 3y -3=0
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies 2x - 3y = 13 [/tex]
Now convert it into slope intercept form to get the slope , we get ,
[tex]\implies 3y = 2x - 13 \\\\\implies y =\dfrac{2}{3}x -\dfrac{13}{2}[/tex]
Therefore the slope is ,
[tex]\implies m = \dfrac{2}{3} [/tex]
We know that the product of slope of perpendicular lines is -1 . Therefore the slope of the perpendicular line will be ,
[tex]\implies m_{perpendicular}= -\dfrac{2}{3} [/tex]
Now one of the point is (-6,5) .On Using point slope form , we have ,
[tex]\implies y-y_1 = m( x - x_1) \\\\\implies y - 5 = -\dfrac{2}{3}( x + 6 ) \\\\\implies 3y - 15 = -2x -12
\\\\\implies 2x + 3y -15+12=0 \\\\\implies \underline{\underline{ 2x + 3y -3=0 }}[/tex]
Answer:
y = - [tex]\frac{3}{2}[/tex]x - 4
Step-by-step explanation:
2x – 3y = 13
3y = 2x + 13
y = [tex]\frac{2}{3}[/tex]x + [tex]\frac{13}{3}[/tex]
slope = 2/3
negative reciprocal = -3/2
y = -3/2x + b
(-6, 5)
5 = (-3/2)(-6) + b
5 = 9 + b
b = -4
y = -3/2x - 4
Using the following image , find the value for x
Step-by-step explanation:
Here, two angles i.e, (x + 13)° and (4x + 2)° are forming a straight line, thus the sum of these two angles will be 180° because they are forming a linear pair.
[tex]\longrightarrow[/tex] (x + 13) + (4x + 2) = 180°
[tex]\longrightarrow[/tex] x + 13 + 4x + 2 = 180°
[tex]\longrightarrow[/tex] 5x + 15 = 180°
[tex]\longrightarrow[/tex] 5x = 180° ― 15
[tex]\longrightarrow[/tex] 5x = 165°
[tex]\longrightarrow[/tex] x = 165° ÷ 5
[tex]\longrightarrow[/tex] x = 33°
Therefore, the value of x is 33°.
Quick Check!
[tex]\longrightarrow[/tex] x + 13
[tex]\longrightarrow[/tex] (33 + 13)°
[tex]\longrightarrow[/tex] 46°
And, another angle :
[tex]\longrightarrow[/tex] (4x + 2)°
[tex]\longrightarrow[/tex] {4(33) + 2}°
[tex]\longrightarrow[/tex] (132 + 2)°
[tex]\longrightarrow[/tex] 134°
★ Sum of the angles should be 180° :
[tex]\longrightarrow[/tex] (x + 13) + (4x + 2) = 180°
[tex]\longrightarrow[/tex] 46° + 134° = 180°
[tex]\longrightarrow[/tex] 180° = 180°
L.H.S = R.H.S, hence verified!
The value of x is 33
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is linear pair of angles?"It is formed when two lines intersect each other at a single point. "" The angles are adjacent to each other.""The sum of angles of a linear pair is always 180° "What are supplementary angles?"Two angles are supplementary angles if the sum of the angles is 180° "
For given question,
angle (x + 13) and angle (4x + 2) form linear pair of angles.
So, these angles are supplementary angles.
⇒ (x + 13)° + (4x + 2)° = 180°
We solve above equation to find the value of x
⇒ x + 4x + 13 + 2 = 180
⇒ 5x + 15 = 180
⇒ 5x = 165
⇒ x = 33
Therefore, the value of x is 33
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The diagram below is divided into equal parts. Which fraction of the parts is white?
A diagram is divided into 4 blue parts and 3 white parts.
Three-sevenths
Four-sevenths
Three-fourths
Four-thirds
Answer: This problem is a fraction since we have several equal parts that make up one whole. The problem asks us to talk about the relationship of white pieces to the whole. Since we know the whole is made up of 7 pieces (4 blue parts and 3 white parts = 7 total parts), then 7 will be our denominator (number on the bottom of the fraction).
Now that we have our number on the bottom, we need to look back at the question to carefully decide what parts of the whole we are looking at. The question wants to know how many of the parts are white. We know that 3 of the parts are white, so that is our numerator (number of the top of the fraction).
Our final answer is 3/7 or "three-sevenths." Said another way, three of the seven pieces are white.
Step-by-step explanation:
In a survey, 250 adults and children were asked whether they know how to
swim. The survey data are shown in the relative frequency table.
Can swim
Cannot swim
Total
0.34
Adults
Children
0.06
0.48
0.12
Total
What percentage of the people surveyed can swim?
O A. 18%
B. 82%
C. 48%
D. 34%
Answer:
B - 82%
Step-by-step explanation:
.34+.48
The percentage of people who can swim is 82%.
Option B is the correct answer.
What is a percentage?
The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change, we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
The relative frequency table shows the proportion of people in each group who can and cannot swim.
To find the percentage of people who can swim, we need to add up the proportion of adults who can swim (0.34) and the proportion of children who can swim (0.48).
Percentage of people who can swim
= (0.34 + 0.48) x 100%
= 82%
Therefore,
The percentage of people who can swim is 82%.
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Think of 5 positive integers that have a mode of 5 and 6, a median of 6 and a mean of 7.
Answer:
5,5,6,6,13
Step-by-step explanation:
Mode means most often. The 5 numbers has 2 modes 5 and 6
This means that 4 of the numbers must be 5,5,6,6
Median means the middle number must be 6
5,5,6,6,x is the only way to to get the middle number to be 6
We need to average to 7
(5+5+6+6+x) /5 = 7
(5+5+6+6+x) /5 *5= 7*5
(5+5+6+6+x) =35
22+x = 35
x = 35-22
x = 13
The other number is 13
A study of the pay of corporate chief executive officers (CEOs) examined the increase in cash compensation of the CEOs of 104 companies, adjusted for inflation, in a recent year. The mean increase in real compensation was x¯=6.9%, and the standard deviation of the increases was s=55%. Is this good evidence that the mean real compensation μ of all CEOs increased that year? The hypotheses are
Answer:
The p-value of the test is 0.1017, which is greater than the standard significance level of 0.05, which means that this is not good evidence that the mean real compensation μ of all CEOs increased that year.
Step-by-step explanation:
At the null hypothesis, we test if there was no increase, that is, the mean is 0, so:
[tex]H_0: \mu = 0[/tex]
At the alternative hypothesis, we test if there was an increase, that is, the mean is greater than 0, so:
[tex]H_1: \mu > 0[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
104 companies, adjusted for inflation, in a recent year. The mean increase in real compensation was x¯=6.9%, and the standard deviation of the increases was s=55%.
This means that [tex]n = 104, X = 6.9, s = 55[/tex]
Value of the test-statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{6.9 - 0}{\frac{55}{\sqrt{104}}}[/tex]
[tex]t = 1.28[/tex]
P-value of the test:
The p-value of the test is a right-tailed test(test if the mean is greater than a value), with 104 - 1 = 103 df and t = 1.28.
Using a t-distribution calculator, this p-value is of 0.1017.
The p-value of the test is 0.1017, which is greater than the standard significance level of 0.05, which means that this is not good evidence that the mean real compensation μ of all CEOs increased that year.
