Answer:
Get smart and stay safe :D
Write the answer and solution ?
Answer
4. E
use PEMDAS
5. 36+18=54 so C
plug in x
6. 15=5x
x=3 so C
11. B
break the absolute value into pos and neg components
12.D
is not equal to so open circle
2x=14
2x=8
so 4 and 7 with open circles
Step-by-step explanation:
. Find the exact circumference in terms of pi of the circles. (5 points each)
Step-by-step explanation:
The hypotenuse of each of these right triangles can be found using Pythagorean theorem....the hypotenuse is also the DIAMETER of the circle
diamter * pi = circumference
First one:
Hypot^2 = 13^2 + 13^2
hypot ^2 = 338
hypot = diameter = sqrt (338)
circumference = diamter * pi = sqrt 338 pi ft ( or 13 sqrt(2) pi ft )
The second one is the same with slightly different numbers...you try it ...
Answer:\(\sqrt{338}\pi\), \(25\pi\)
Step-by-step explanation:
I will start with the second one, since it will be easier. Because this is a right triangle, you can use the given side lengths of the triangle to find the hypotenuse, which is also equal to the diameter of the triangle. Since the pythagorean theorem states that a^2(the shorter leg, squared) + b^2 (the longer leg, squared) = c^2 (the hypotenuse, squared) we can turn it into an equation like this:
\(7^{2\ }+\ 24^{2}\ =\ c^{2}\)
(lets use x in place of c in the next few equations, for algebraic simplicity)
Simplify
\(49+\ 576\ =x^{2}\)
\(625=x^{2}\)
Get the square roots
\(\sqrt{625}=\sqrt{x^{2}}\)
\(x=25\)
Since x is equal to the hypotenuse, we know that the hypotenuse is also 25. This means the diameter of the second circle is 25, and we can now find the circumference. The EXACT circumference of the second circle is 25π, but a simplified version can be created by calculating it as if it were an equation. This comes out to around 78.5398163397, which would trail for infinity. which is why to get an exact measurement of the diameter, the most simplified exact version is displayed by multiplying the diameter by the pi symbol, because it is impossible to fit an infinite number in a finite space.
Now for the first circle, which I am now realising is no more difficult than the last one. We can do the same thing in this case, using pythagorean theorem, because there are two dash lines marking two of the lines on the circle to be equal to one another, we know that the two marked lines are equal to 13, despite not appearing to be.
We can use the same equation as we did before, but slightly modified.
\(13^{2}+13^{2}=x^{2}\)
Simplify:
\(169+169=x^{2}\)
\(338=x^{2}\)
Now we can take the square roots of both sides of the equation.
\(\sqrt{338}=\sqrt{x^{2}}\)
This is where we come to a bit of a pause. Because the square root of 338 is an irrational constant number, we have to use the unsimplified square root in our answer for the circumference, otherwise, our answer would not be exact.
The diameter of our circle is \(\sqrt{338}\), which means that we can use an equation like this to find the circumference:
\(\sqrt{338}\pi\)
But since we cannot simplify this any further without it not being exact, we must leave it as is.
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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A 95% confidence interval for the slope of the regression line relating the number of grams of carbohydrates and the number of kilocalories per 100-gram sample of various raw foods is given by (2.505,6.696). The confidence interval is based on a random sample of n raw foods. A check of the conditions for inference on the slope shows they are reasonably met. Which of the following is a correct interpretation of the interval?
A. 95% of all such samples of size n will produce a sample slope between 2.505 and 6.696 for the regression line relating grams of carbohydrates and kilocalories per 100- g sample of various raw foods.
B. The probability is 0.95 that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
C. We are 95% confident that the slope of the regression line for the random sample of n raw foods is between 2.505 and 6.696.
D We are 95% confident that the predicted number of kilocalories per 100-g sample will be between 2.505 and 6.696.
E. We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
Answer: E. We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
Step-by-step explanation:
The interpretation of a 95% confidence interval: A person can be 95% confident that the true population parameter lies in it.
Given: A 95% confidence interval for the slope of the regression line relating the number of grams of carbohydrates and the number of kilocalories per 100-gram sample of various raw foods is given by (2.505,6.696).
Interpretation: We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
Correct option: E
SLOPE DIGITAL ESCAPE ROOM
I need help finding the code
By finding all the four slopes, we can see that the word is ECHA.
How to find the word?We know that the general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:
s = (y₂ - y₁)/(x₂ - x₁)
With that formula we can get the slopes.
1) Using the points (0, 3) and (2, 4).
m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.
2)Using (-1, -12) and (1, -8)
m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.
3) We have (2, -6) and (-4, -3) so:
m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H
4)we can use the points (0, 3) and (1, 1), so:
m = (1 - 3)/(1 - 0) = -2, so the letter is A
Then the word is ECHA
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219 is what percent of 146?
Answer:
150
Step-by-step explanation:
100%/ x% = 219/ 416
Cross multiply
x = 150 %
219 is 150% of 416
What is a tessellation, how are tessellations used, and what must happen at vertices in order for polygons to tessellate?
A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.
Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.
For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.
This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.
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Which of the following explains why this inequality is true?
7 3/8 × 4/5 < 7 3/8
The answers I have to choose from are:
A. When 7 3/8 is multiplied by a number greater than 1, the product is more than 7 3/8
B. When 7 3/8 is multiplied by a number greater than 1, the product is less than 7 3/8
C. When 7 3/8 is multiplied by a number less than 1, the product is more than 7 3/8
D. When 7 3/8 is multiplied by a number less than 1, the product is less than 7 3/8.
The correct option is B: The result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.
Explain about the term mixed fractions:Once kids have a firm grasp on right fractions, they are exposed to mixed numbers and improper fractions.
Divide the numerator and denominator to create a mixed fractions from an incorrect fraction. The solution to this problem is the whole number portion; the leftover portion is the numerator; its denominator stays the same.
We can convert the two fractions to decimal form in order to compare them.
7.375 is equivalent to 7 3/8, and
4/5 is equivalent to 0.8.
7.375 multiplied by 0.8 results in:
7.375 × 0.8 = 5.9
Since the result is 5.9, which is less than 7.375, it follows that 7 3/8 multiplied by 4/5 is less than 7 3/8.
Thus, the result of multiplying 7 3/8 by a number larger than 1 is less than 7 3/8.
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Three are saving for a special . The ratio of 's savings to 's savings is and the ratio of 's savings to 's savings is . Together all 3 have saved $. How much has each saved? Answer questions 34.
Answer:ok uhave to ask
Step-by-step explanation:
u have to ask your mom and your dad
A DVD is available at a store for $16.99. The list price of this DVD was $18.75. What was the percent discount? % (Round to the nearest tenth as needed.)
The cost of DVD = $16.99
The list price of this DVD was $18.75
So, the discount =
\(18.75-16.99=1.76\)And the percent discount =
\(\frac{1.76}{18.75}\cdot100=9.3866\%\)Rounding the answer to the nearest tenth
So, the answer will be : the percent discount = 9.4%
Name
Austin - 4-12-21
Whole Numbers and Fractions
In 1-6, write an equivalent fraction for each whole number,
1. 6
2. 8
3. 4
4. 3
5. 1
Each one is just that whole number over one.
For instance for the number 7 it would be 7/1.
Hope this helps!
place in slope intecept form 6x+2y=24 i need step by step
Answer:
y = -3x + 12
Step-by-step explanation:
First have y on one side on its own:
2y = -6x + 24
Next you need to isolate y on its own, to do this, divide by 2:
\(\frac{2y}{2} = \frac{-6x}{2} + \frac{24}{2}\)
y = -3x + 12
Now you have the slope intercept form of the equation.
m = -3
b = 12
A study was conducted in order to compare
Answer:
is there more to the question?
Step-by-step explanation:
❤️
consider the circle
Answer:
x = 34
Step-by-step explanation:
An angle inscribed in a semicircle is a right angle:
3x -12 = 90
3x = 102 . . . . add 12
x = 34 . . . . . divide by 3
You buy 2 pairs of shoes for $14 each. You give the cashier $29. Which of the following is a good estimation of the change you will get back?
Answer:
Hey there!
A good estimation is one dollar.
2 pairs of shoes for 14 dollars= 28 dollars
29-28=1 dollars.
Hope this helps :)
If you vertically compress the square root parent function by a factor of 1/3, what is the equation of the new function?
9514 1404 393
Answer:
y = (1/3)√x
Step-by-step explanation:
Vertical scaling of a function is accomplished by multiplying the function by the scale factor. If you want to scale the square root function by a factor of 1/3, then the scaled function is ...
y = (1/3)√x
Solve the following inequality: |x – 4|> 6
Answer:
x>10 or x< -2
Step-by-step explanation:
There are two solutions, one positive and one negative, remembering to flip the inequality for the negative
x-4 >6 or x-4 < -6
Add 4 to each side
x-4+4 > 6+4 or x-4+4 < -6+4
x>10 or x< -2
Rachel measured the lengths of a random sample of 100 screws. The mean length was 2.9 inches, and the population standard deviation is 0.1 inch. To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?
Answer:
z = 10
Step-by-step explanation:
The value of the z-statistic is given by:
\(z = \frac{X - \mu}{s}\)
In which:
X is the measured value.
\(\mu\) is the expected value.
\(s = \frac{\sigma}{\sqrt{n}}\) is the standard deviation of the sample. \(\sigma\) is the standard deviation of the population.
In this question:
The mean length was 2.9 inches, and the population standard deviation is 0.1 inch.
This means that \(\mu = 2.9, \sigma = 0.1\)
Random sample of 100 screws.
This means that n = 100.
To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?
3 inches, so \(X = 3\)
\(s = \frac{0.1}{\sqrt{100}} = 0.01\)
\(z = \frac{X - \mu}{s}\)
\(z = \frac{3 - 2.9}{0.01}\)
\(z = 10\)
Answer:
-10
Step-by-step explanation:
If we first note the denominator of fraction numerator sigma over denominator square root of n end fraction equals fraction numerator 0.1 over denominator square root of 100 end fraction equals fraction numerator begin display style 0.1 end style over denominator 10 end fraction equals 0.01
Then, getting the z-score we can note it is z equals fraction numerator x with bar on top minus mu over denominator begin display style 0.01 end style end fraction equals fraction numerator 2.9 minus 3 over denominator 0.01 end fraction equals negative 10
This tells us that 2.9 is 10 standard deviations below the value of 3, which is extremely far away.
Express each of the following in the form ax^2 + bx + c=0
(2x-1)(2x+1)=x(2x+3)
Therefοre, the given equatiοn can be expressed in the fοrm οf ax² + bx + c = 0 as:
2x² + 3x - 1 = 0
What is an equatiοn rule?Equatiοns that have matching sοlutiοn sets are cοnsidered equivalent. Equatiοns can be multiplied οr divided by any terms (aside frοm zerο) οn bοth sides withοut changing the sοlutiοn set, accοrding tο the multiplicatiοn/divisiοn rule fοr equatiοns.
Tο express the given equatiοn in the fοrm οf ax² + bx + c=0, we first need tο simplify bοth sides οf the equatiοn:
(2x-1)(2x+1) = x(2x+3)
Expanding the left side using the distributive prοperty, we get:
4x² - 1 = 2x² + 3x
Nοw, we can mοve all the terms tο οne side tο get the equatiοn in the standard fοrm οf a quadratic equatiοn:
4x² - 2x² + 3x - 1 = 0
Cοmbining like terms, we get:
2x² + 3x - 1 = 0
Therefοre, the given equatiοn can be expressed in the fοrm οf ax² + bx + c=0 as:
2x² + 3x - 1 = 0
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what is the equation of this graph
Answer:
y=-(2/3) + 1
Step-by-step explanation:
-(2/3) is slope
1 is y intercept
Consider a medium with parameters € = 1.2 (10^-10 )F/m , n= 3(10^-3) H/m and sigma=0. Magnetic field intensity in the medium is given as R = 2cos (10^10t- 600x)äz Am.
Use Maxwell's equations to obtain the followings:
1) Magnetic flux density
These questions is circuit theory
Using Maxwell's equations, we can determine the magnetic flux density. One of the Maxwell's equations is:
\(\displaystyle \nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}}{\partial t}\),
where \(\displaystyle \nabla \times \mathbf{H}\) is the curl of the magnetic field intensity \(\displaystyle \mathbf{H}\), \(\displaystyle \mathbf{J}\) is the current density, and \(\displaystyle \frac{\partial \mathbf{D}}{\partial t}\) is the time derivative of the electric displacement \(\displaystyle \mathbf{D}\).
In this problem, there is no current density (\(\displaystyle \mathbf{J} =0\)) and no time-varying electric displacement (\(\displaystyle \frac{\partial \mathbf{D}}{\partial t} =0\)). Therefore, the equation simplifies to:
\(\displaystyle \nabla \times \mathbf{H} =0\).
Taking the curl of the given magnetic field intensity \(\displaystyle \mathbf{R} =2\cos( 10^{10} t-600x)\hat{a}_{z}\, \text{Am}\):
\(\displaystyle \nabla \times \mathbf{R} =\nabla \times ( 2\cos( 10^{10} t-600x)\hat{a}_{z}) \, \text{Am}\).
Using the curl identity and applying the chain rule, we can expand the expression:
\(\displaystyle \nabla \times \mathbf{R} =\left( \frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial y} -\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial z}\right) \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Since the magnetic field intensity \(\displaystyle \mathbf{R}\) is not dependent on \(\displaystyle y\) or \(\displaystyle z\), the partial derivatives with respect to \(\displaystyle y\) and \(\displaystyle z\) are zero. Therefore, the expression further simplifies to:
\(\displaystyle \nabla \times \mathbf{R} =-\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial x} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Differentiating the cosine function with respect to \(\displaystyle x\):
\(\displaystyle \nabla \times \mathbf{R} =-2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Setting this expression equal to zero according to \(\displaystyle \nabla \times \mathbf{H} =0\):
\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z =0\).
Since the equation should hold for any arbitrary values of \(\displaystyle \mathrm{d} x\), \(\displaystyle \mathrm{d} y\), and \(\displaystyle \mathrm{d} z\), we can equate the coefficient of each term to zero:
\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x) =0\).
Simplifying the equation:
\(\displaystyle \sin( 10^{10} t-600x) =0\).
The sine function is equal to zero at certain values of \(\displaystyle ( 10^{10} t-600x) \):
\(\displaystyle 10^{10} t-600x =n\pi\),
where \(\displaystyle n\) is an integer. Rearranging the equation:
\(\displaystyle x =\frac{ 10^{10} t-n\pi }{600}\).
The equation provides a relationship between \(\displaystyle x\) and \(\displaystyle t\), indicating that the magnetic field intensity is constant along lines of constant \(\displaystyle x\) and \(\displaystyle t\). Therefore, the magnetic field intensity is uniform in the given medium.
Since the magnetic flux density \(\displaystyle B\) is related to the magnetic field intensity \(\displaystyle H\) through the equation \(\displaystyle B =\mu H\), where \(\displaystyle \mu\) is the permeability of the medium, we can conclude that the magnetic flux density is also uniform in the medium.
Thus, the correct expression for the magnetic flux density in the given medium is:
\(\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}\).
Please answer this correctly without making mistakes
What is the correct answer library or theater
Answer:
theater
pls mark me as BRAINLIEST
How many square feet of outdoor carpet will we need for this hole
Find the area of the parallelogram
Answer:
1191 cm²
Step-by-step explanation:
Area of parallelogram = base X vertical height.
Call the vertical line h.
h/ sin 80 = 7/ sin 10
h = (7 sin 80) / sin 10
= 39.7.
Area of parallelogram = 30 X 39.7
= 1191 cm²
The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.
Given:
Side length = 30 cm
Using Trigonometry
tan 80 = P / Base
5.6712 = P / 7
P = 39.6984 cm
Using the formula for Area of parallelogram
= Base x height
= 30 x 39.6984
= 1,190.952 square cm.
Therefore, the area is 1,190.952 square cm.
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Which of the following is closest to the area of the figure below, consisting of a semicircle and rectangle
the nth term in a sequence is tn=5n + 3. Calculate the 12th and 24th terms, t12 and t 24
Answer:
63 and 123-----------------------
Substitute 12 and 24 for n into formula and calculate.
\(t_{12}=5*12+3=60 + 3=63\)\(t_{24}=5*24+3=120 + 3=123\)So, the 12th term is 63 and 24th term is 123.
A librarian finds that the number of hours spent reading a book over a month, R, is dependent on the numbers of hours a person spends at the library over the course of a month, x, and can be modeled by the function
R(x)=26+1.5x
Draw the graph of the reading function by plotting its R-intercept and another point.
The given modeled function is R(x)=26+1.5x
where R(x) is the number of hours spent reading a book over a month
and x is the number of hours a person spends at the library over the course of a month.
Representing R(x) on the y-axis and x on the x-axis,
Puttinv x=0 to get the R(x) intercept as
R=36+1.5 x 0 = 36
So, (0,36) ia a point.
Determining other-point by putting any arbitrary value of x other than 0.
Putting x=2, to get the other point
R=36+1.5 x 10 =51
So, the other point is (10,51).
Now, joining both the points to get the graph of the given linear equation as shown in the figure.
Answer:
(0,26) (4,32)
Step-by-step explanation:
The function R(x)=26+1.5x is a linear equation, so its graph is a straight line that can be drawn by plotting 2 points and connecting them.
Its R intercept occurs when x=0, so
y(0)=26,
and (0,26) is the R-intercept.
To find another point, plug in another x value into the function y(x). For example, when x=4, we have
R(4)=26+1.5(4)=32.
So, (4,32) is another point on the graph of R(x).
Suppose you are flying a kite at the park on a windy day. You notice that the height of the kite, h, is
affected by the speed of the wind, w. You decide to measure the height of the kite at different wind
speeds to determine the relationship between the two variables. After some experimentation, you
measure the height of the kite at three different wind speeds: 10 mph, 15 mph, and 20 mph. You
measure the height of the kite to be 50 feet at 10 mph, 75 feet at 15 mph, and 100 feet at 20 mph.
Determine the equations that relate the height of the kite to the speed of the wind.
The equation that relates the height of the kite to the speed of the wind is: h = 5w.
What is slope?
In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.
To determine the relationship between the height of the kite and the speed of the wind, we can use linear regression to fit a line to the data points we have measured. The line will take the form y = mx + b, where y is the height of the kite, x is the speed of the wind, m is the slope of the line, and b is the y-intercept.
Using the three data points we have, we can calculate the slope of the line as follows:
m = (y2 - y1) / (x2 - x1)
= (75 - 50) / (15 - 10)
= 25/5
= 5
Therefore, the equation for the line is y = 5x + b. To find the value of b, we can use one of the data points.
For example, using the point (10, 50):
50 = 5(10) + b
b = 0
So the equation that relates the height of the kite to the speed of the wind is:
h = 5w
where h is the height of the kite in feet, and w is the speed of the wind in mph.
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You work at a coffee house. Roasted coffee beans retain approximately 3/5 of their initial weight. Approximately what percent of their inital weight do they retain?
Answer:
60%
Step-by-step explanation:
We need convert 3/5 into a percent in order to find the answer.
We can convert by first dividing 3 by 5 to find the decimal value.
3/5= .6
Now we need to multiply by 100 to make it a percentage
.6 x 100= 60
60%
i would appreciate it if you could help me! :) reward: 15 pts, 5 stars (if its right), and a thanks!
Answer:
9.92 x 10⁷
Also, if you could label this brainliest that would be a great help!
Thanks xx
-Dante
Answer:
Step-by-step explanation:
\((3.2*10^{5}})*(3.1*10^{2})=3.2*3.1* 10^{5+2}\\\\= 9.92*10^{7}\)