Answer:
5
Step-by-step explanation:
The computation is shown below:
Given that
3(-2m + 5) - 6(-4m - 2)
-6m + 15 + 24m + 12
18m + 27
Divided by 9
2m + 3
Here a = 2
And, b = 3
So, a + b = 2 + 3 = 5
find the measurement of angle 2
Answer:
∠ 2 = 25°
Step-by-step explanation:
The triangle on the right has 2 congruent sides and is therefore isosceles with 2 base angles being congruent, both 65° , then
∠ 2 = \(\frac{180-(65+65)}{2}\) = \(\frac{180-130}{2}\) = \(\frac{50}{2}\) = 25°
The graph shown below displays the change in the number of hurricanes that occurred over time.
Which statement is the best description of the association between these variables?
Answer:
There is no graph!
Step-by-step explanation:
Answer:
As time went by, the number of hurricanes tended to increase
Step-by-step explanation:
There is a positive relationship in the data—low values of x are associated with low values of y, and high values of x are associated with high values of y.
As time went by, the number of hurricanes tended to increase.
Find the slope of a line that passes through the points (-2,6) and (8, 4)
In order to calculate the slope of a line that passes through the points (-2, 6) and (8, 4), we can use the formula:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Where (x1, y1) and (x2, y2) are the points coordinates. So we have:
\(\begin{gathered} m=\frac{4-6}{8-(-2)} \\ m=\frac{-2}{8+2} \\ m=\frac{-2}{10} \\ m=-\frac{1}{5} \end{gathered}\)So the slope of the line is -1/5.
Which ratio would be used to find x?
A. sin (20°) = x/54
B. cos (20°) = x/54
C. cos (20°) = 54/x
D. sin (20°) = 54/x
Answer:
The ratio that would be used to find x is C. cos (20°) = 54/x.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
*REMEMBER*:
Sin: opposite/hypotenuse
Cos: adjacent/hypotenuse
Tan: opposite/adjacent
Using this, we have to find x, which is the hypotenuse of this right triangle. This immediately eliminates using a tangent equation.
We also don't know the opposite side of 20 degrees, so this also eliminates the sine.
Now, we know that the equation has to be either B or C, as those have cosines. The cosine of 20 degrees is equal to adjacent/hypotenuse, which would give us the equation:
cos(20)=54/x, meaning C is the correct option.
Hope this helps! :)
A right triangle has side lengths d, e and f as shown below use the lengths to find sin x cos x and tan x
BRAINLIEST
Answer:
sin is d/f
cos is e/f
tan is d/e
Step-by-step explanation:
sin is opposite over hypotenuse
cos is adjacent over hypotenuse
tan is opposite over adjacent
Some old hippie, caught another hippie, tripping on acid
jamila has a weather station in her backyard. She uses a rain gauge to track the total rainfall during storms. Answer the following questions to compare the storms. 1. Jamila graphs the function describing Mondays rainfall. is the graph nonlinear or linear? how do you know? 2. What is the real-world meaning of the slope of this graph? 3. Next, Jamila graphs functions describing Thursdays rainfall. Is this graph linear or nonlinear? how do you know? 4. what does the y-intercept of the graph of Mondays storm mean? Does the y-intercept of the the graph of Thursday's storm have the same meaning?
2.
slope: rise(precipitation) / run (time)
In the real world, the slope means the relationship between time and precipitation.
3. AS the time increases, the precipitation increases. Is a linear function.
4. The y-intercept (0,y) means the amount of precipitation when no time passed since tracking.
Both y-intercepts have the same meaning.
Kate walks 3.5 kilometers along a hiking trail. How far does Kate walk in meters?
Answer:
3,500 meters
Step-by-step explanation:
3.5 x 1000=3500
Answer:
3500 I swear
Step-by-step explanation:
PLEASE HELP and EXPLAIN I will mark the brainliest if two people type the answer I will choose the best.
Answer:
C
Step-by-step explanation:
Let's review some sets of numbers.
Natural numbers: 1, 2, 3, 4, ...
The natural numbers are the counting numbers. You normally start counting with 1, not 0, and you only count whole numbers.
Whole numbers: 0, 1, 2, 3, 4, 5, ...
The whole numbers are the counting numbers with the addition of zero. There are no negative numbers in the whole numbers.
Integers: ..., -3, -2, -1, 0, 1, 2, 3, ...
The integers are the natural numbers, plus zero, plus the negatives of the natural numbers. All numbers are whole with no decimal part.
Rational numbers
The rational numbers are all numbers that can be written as a fraction of integers. For example, 1 can be written as 3/3, so 1 is a rational number. All natural numbers, whole numbers, and integers are rational numbers. Other rational numbers are numbers that are not whole, such as 2.5, 7/8, 1/4, etc. These numbers can be written as fractions of integers. Rational numbers written as decimal numbers will either be an integer, a terminating decimal, or a non-terminating, repeating decimal.
Up to here, each new set includes the previous set.
Now things change. If a number is rational, it is not irrational.
If a number is irrational, it is not rational.
Irrational numbers
Irrational numbers are always non-terminating, non-repeating decimals. They cannot be written as fractions of integers. Examples: √2, π
Now let's look at this problem.
We have a negative decimal number. The bar above the 12 means the digits 12 are repeating. This number can also be written as -0.121212...
Since our number is a non-terminating, repeating decimal, it is a rational number.
Answer: C
m = -1 & (0, -4) how do you solve for it ?
The given equation is in the point-slope form, which is y - y1 = m(x - x1) where (x1, y1) represents the point and m represents the slope. Therefore, the equation can be written as y + 4 = -1(x - 0) or y = -x - 4. Thus, the equation of the line is y = -x - 4 whose slope is -1 and y-intercept is -4.
Since the slope is -1, it can be written in the form of a fraction as -1/1 or 1/-1. It means that if the x-coordinate of a point on the line changes by 1, then the y-coordinate changes by -1 or vice versa.
The slope can also be found by dividing the change in y-coordinates by the change in x-coordinates between any two points on the line.To find the x-intercept, we need to set y = 0 and solve for x.
Therefore, 0 = -x - 4, which implies x = -4.
Hence, the x-intercept is (-4, 0).Similarly, to find the y-intercept, we need to set x = 0 and solve for y. Therefore, y = -0 - 4, which implies y = -4. Hence, the y-intercept is (0, -4).
Therefore, the x-intercept is (-4, 0) and the y-intercept is (0, -4).
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help plzzzzz! I'll give 30 points
Answer:
c
Step-by-step explanation:
A car and a motorcycle left a gas station at the same time. They each travelled
in the same direction for one and one-quarter hours. At that time, the car had
travelled 20 km farther than the motorcycle. If the average speed of the car was
80 km/h, determine the average speed of the motorcycle.
Using proportions, it is found that the average speed of the motorcycle is of 64 km/h.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, in one and one-quarter hours, that is, \(\frac{1} + \frac{1}{4} = 1.25\) hours, the car traveled 20 km farther, hence the number of km/h by which the car is faster is given by:
f = 20/1.25 = 16 km/h.
The car's velocity was of 80 km/h, hence the average speed of the motorcycle is given by:
m = 80 km/h - 16 km/h = 64 km/h.
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where is g(x)<0 ? (enter in interval notation)
It is impossible to give an exact solution for where g(x) is less than zero in interval notation, without knowing the specific function of g(x).
To find where g(x)<0, we need to find the values of x for which the function is negative. This can be done by solving the inequality g(x)<0.
Once we have found the values of x that make the function negative, we can write the answer in interval notation. Interval notation is a way of writing a set of numbers that fall within a certain range.
It is written using parentheses or brackets to indicate the endpoints of the interval and a comma to separate the two endpoints. For example, the interval notation for all numbers between 1 and 5 would be (1, 5).
Without knowing the specific function g(x), it is not possible to provide an exact answer for where g(x)<0. However, once you have solved the inequality g(x)<0, you can write the answer in interval notation by using the values of x that make the function negative as the endpoints of the interval.
For example, if the values of x that make the function negative are between -2 and 3, the answer in interval notation would be (-2, 3).
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please solve asap in my math final
find the value of x show ur work
Answer:
Step-by-step explanation:
43 + 24 + 57 + x = 180 degree (being sum of interior angles of a triangle)
124 + x = 180
x = 180 - 124
x = 56 degree
in small triangle
57 + 24 + z = 180 degree (sum of interior angles of a triangle )
81 + z = 180
z = 180 - 81
z = 99 degree
in big triangle
x + 43 + y = 180 degree (sum of interior angles of a triangle )
56 + 43 + y = 180
99 + y =180
y = 180 - 99
y = 81 degree
The value of x= 56°
Hope it helps you...
i need help with this one?
The best description of the transformation for the image being projected on the retina is A. A dilation with a scale factor between 0 and - 1 and center at the nodal point.
How does the nodal point dilate the retina ?An mage is inverted and reversed as it passes through the lens of the eye, and is then projected upside down and reversed onto the retina. The process of transforming the image is called "rectification."
In mathematical terms, a dilation would have taken place because the object was shrunken by the eyes at the nodal point. When an object shrinks , then the scale factor is between 0 and 1 but because this image is inverted, the scale factor is between 0 and - 1.
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If you take a number, times by 3 then add 5. You get the same as if you took the
number, times by 7 then subtract 8. What is the number?
The number is 4.
If you take a number, times by 3 then add 5, you get (3x + 5).
If you take the same number and times by 7 then subtract 8, you get (7x - 8).
Set the equations equal to each other:
3x + 5 = 7x - 8
Subtract 3x from both sides:
5 = 4x - 8
Add 8 to both sides:
13 = 4x
Divide both sides by 4:
4 = x
Therefore, the number is 4.
A cell phone company charges 35$ a month plus $0.05 for every text over the plan. if alyssa's bill comes to 37$ before tax, by how many texts did she go over
Alyssa went over her plan by 40 texts.
To determine how many texts Alyssa went over her plan, we need to subtract the fixed monthly charge of $35 from her total bill of $37. This will give us the amount she was charged for going over her plan.
$37 - $35 = $2
Since Alyssa is charged $0.05 for every text over her plan, we can divide the amount she was charged by the cost per text to find the number of texts she went over.
$2 / $0.05 = 40
Therefore, Alyssa went over her plan by 40 texts.
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14.Evaluate the expression 4x2+3y for x = 5 and y =6.
answer?
Step-by-step explanation:
Given: x=5 and y=6
=>4x2+3y
=> 8+3(6)
=> 8+18
=> 26
Hope it helps
The value of this expression is 58
Algebraic expression is a mathematical sentence that involves all mathematical operations.
In an algebra - a real number is always accompanied by some letter, which can represent a variable or unknown.
— To solve this expression, just: change the letters for the numbers and multiply/add.
⚘ Resolution
\(\large \sf 4x2+3y\)
\(\large \sf 4 \cdot 5 \cdot 2 +3 \cdot 6\)
\(\large \sf 40 +18\)
\(\red{\boxed{\boxed{\green{\large \sf \ 58 \ }}}}\\\)
Therefore, the value of this expression will be 58
what is calculator for tan
The tangent (tan) of an angle can be calculated using a calculator. The "tan" button on most scientific or graphing calculators can be used to calculate the tangent of an angle in degrees or radians.
Here's how to utilise a calculator's "tan" function:
The following are some ideas to get you started: (depending on the calculator). Enter the angle in degrees if your calculator is in degree mode. Enter the angle in radians if it is in radian mode.On the calculator, press the "tan" button.The term "calculator" refers to the process of calculating the value of somethingTo get the tangent of 45 degrees, for example, input "45" into the calculator and press the "tan" button. The calculator would then show the tangent value, which is around 1.00.
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What is dependent and dependent variable?
Independent and dependent variables are interdependent.
Dependent Variable: The term "dependent variable" refers to the variable that is being measured or tested in an experiment.
The results of the participants' tests, for instance, would be the dependent variable in a study looking at how tutoring affects test scores because that is what is being measured.
If you keep in mind that the dependent variable depends on the independent variable, finding it can be simpler.
The dependent variable's variable is being measured.It might change based on additional circumstances.It is reliant on other elements.A separate variableThis isn't the same as an experiment's independent variable, which is a variable that can stand on its own. The dependent variable (test results), however, may alter depending on the independent variable (tutoring).
The unrelated factor
Because the experimenters are allowed to change the independent variable as necessary, it is called a "independent" variable.
Changing variable in an independent variable.It doesn't alter in response to other factors.It can stand alone.For more questions on dependent and independent variable
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2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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A father and his three children decide on all matters with a vote. Each member of the family gets as many votes as their age. Right now, the family members are 36, 13, 6, and 4 years old, so the father always wins. How many years will it take for the three children to win a vote if they all agree? Show your work.
Answer:
Step-by-step explanation:
Answer:
13 years
Step-by-step explanation:
Intuition for how sons can collectively win after a certain period of time:- After a certain period of time the father's age will increase by that certain period of time (say 5 years) but for the sons (since there are 3 of them) their collective age will increase by three times that of their father (5 for each 1 one them). Therefore there exist a time after which collective increase in sons' age can cover the current gap of 13 years.
You want to set-up a scholarship fund at San Jose State University, which pays a student $5,000/year, indefinitely. Assuming a discount rate of 7%, how much would you need today? 0 1,312.50 O 473,335.71 O 71,428.57 131.250.00 4.761.90
You would need approximately $71,428.57 today to set up the scholarship fund at San Jose State University, assuming a discount rate of 7% and an annual pay
To calculate the amount needed today to set up a scholarship fund that pays a student $5,000 per year indefinitely, we can use the concept of perpetuity and the formula for the present value of a perpetuity.
The formula for the present value of a perpetuity is given by:
Present Value = Annual Payment / Discount Rate
In this case, the annual payment is $5,000 and the discount rate is 7%. Plugging these values into the formula, we can calculate the present value:
Present Value = $5,000 / 0.07
Calculating this, we find:
Present Value ≈ $71,428.57
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How do you know if triangles are congruent in SAS?
With the help of the figure we can say that triangles are congruent by SAS Rule
What is Congruence of Triangle?
Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.
Solution:
By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.
In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.
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How many solutions does 9x-18=3(3x-6) have?
O Infinitely many Solutions
O One solution
Two Solutions
No Solution
Answer:
Use mathaway and plug in the equation
Step-by-step explanation:
From 24 to 30 teachers
a carpenter and his assistant can do a piece of work in 3 days. if the carpenter himself could do the work alone in 5 days, how long would the assistant take to do the work alone?
The number of days spent or taken by assistant with work efficiency of 2 units per day to do the work alone is equals to the 7.5 days.
We have provide that there is a carpenter and his assistant can do a piece of work.
Number of days taken by both carpenter and his assistant to do a piece of work = 3 days.
Number of days taken by carpenter and to do the same piece of work alone = 5 days.
We have to determine number of taken by assistant and to do the same piece of work alone.
Let the required number of days that the assistant take to do the work alone be 'x days'. As we know, total available work units = LCM (3,5) = 15 units
Ability or efficiency of a person or man is calculated by dividing the total work units to the number of working days spent to do the work.
Now, Ability or efficiency of both carpenter and his assistant work together = 15/5
= 3 units/day
Similarly, Ability or efficiency of carpenter = 15/3
= 5 units/day
So, Ability or efficiency of assistant= 5 - 3 = 2 -(1)
Using efficiency formula, efficiency of assistant
= 15/x --(2)
from (1) and(2), 15/x = 2
=> 2x = 15
=> x = 7.5
Hence, required number of days are 7.5 days.
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Add 6.2 to the difference between 4.1 and 1.9 then divide the result by 3
Difference: the outcome of subtraction.
Let's just start of with the difference between 4.1 and 1.9, because we need the result of this before we do anything else.
1. 4.1-1.9=2.2
2.2 is the difference of 4.1 and 1.9.
2. It says to add 6.2 next.
6.2+2.2= 8.4
Next we need to divide by 3.
3. 8.4/3=2.8.
4. 2.8 is the answer!!
----------------------------
i think this was simple, so good luck!! much love! <33
What is the solution to the equation 400 - 8m =216
Answer: m=23
Step-by-step explanation:
Answer:
400−8m=216
Step 1: Simplify both sides of the equation.
400−8m=216
400+−8m=216
−8m+400=216
Step 2: Subtract 400 from both sides.
−8m+400−400=216−400
−8m=−184
Step 3: Divide both sides by -8.
−8m
−8
=
−184
−8
m=23
An old bridge consists of a 350 ft. wood bridge on the left, followed by 1200 ft. of a modern metal bridge, closed out by another 350 ft. wood bridge on the right. The wood is starting to rot so the city has decided they will The geometric representation of the product of two numbers, m, and n, is the area of a rectangle whose sides are of lengths m and n. However, the edges of that rectangle are line segments. What could someone do if they wanted the product of two line segments to be represented as another line segment?
If someone wants the product of two line segments to be represented as another line segment, they can make use of similar triangles
How to know what to doThe correlation between the lengths of line segments can be established by creating a geometric shape comprising of two triangles that are identical and share one side.
If the legs of the triangles are used to represent the two line segments and their shared side represents the resulting line segment, it is possible for the lengths to be proportional through the similarity of the triangles.
To represent the product of the two original line segments, it is necessary to ensure that they and the resulting line segment are a collection of similar triangles. This is because the length of the resulting line segment can represent the product of the initial segments.
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<RQT is a straight angle. What are m<RQS and m<TQS
Answers:
x = 11angle RQS = 106 degreesangle SQT = 74 degrees===========================================================
Explanation:
Straight angles are always 180 degrees in measure.
The two smaller angles shown add up to 180
(angle RQS) + (angle SQT) = angle RQT
(9x+7) + (6x+8) = 180
(9x+6x) + (7+8) = 180
15x+15 = 180
15x = 180-15
15x = 165
x = 165/15
x = 11
From here, we then know that,
angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degreesangle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degreesNote how the two results add to 106+74 = 180 to help confirm the answers.