6 is the value of z from the given linear equation.
Solving linear equationLinear equations are equations that has a leading degree of 1. For instance y = mx + b is a linear equation .
Given the expression below:
4+z-( ) = 10-( )
We need to determine the value of the variable 'z'. Cancelling the blanks, the expression will become:
4+z = 10
Subtract 4 from both sides
4 + z - 4 = 10 - 4
z = 10 - 4
z = 6
Hence the value of z from the given expression is 6
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Round 555 to nearest 10
Answer: 600
Step-by-step explanation: 555
The five in the tens place is equal to 5
To round to the nearest tens place the number has to be 5 or more than 5
Given sin (-theta) = 1/5 and tan theta = sqrt.6/12
what is the value of cos theta?
- sqrt.6/60
2 sqrt.6/5
-2 sqrt.6/5
Sqrt.6/60
Given \(sin (\theta) = \frac{1}{5}\), and\(tan \theta = \frac{\sqrt{6} }{12}\), then:
\(cos\theta=\frac{2\sqrt{6} }{5}\)
Computations on trigonometric identitiesFrom the details provided:
\(sin (\theta) = \frac{1}{5}\ \\\\tan \theta = \frac{\sqrt{6} }{12} \times \frac{\sqrt{6} }{\sqrt{6} }\\\\tan \theta = \frac{\sqrt{6} \times \sqrt{6} }{12 \times \sqrt{6} }\\\\tan \theta =\frac{1}{2\sqrt{6} }\)
From the relationship above:
Opposite = 1
Adjacent = \(2\sqrt{6}\)
Hypotenuse = 5
\(cos\theta=\frac{Adjacent}{Hypotenuse} \\\\cos\theta=\frac{2\sqrt{6} }{5}\)
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Miguel plots points A, B, and C in the coordinate plane.
A. What is the distance between points A and B? Explain your reasoning.
B. Is (gif triangle) ABC an equilateral triangle? Explain your reasoning.
is △ABC equilateral? well, we dunno, however let's check for all sides' length.
\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-2}) ~\hfill AB=\sqrt{(~~ -6- (-3)~~)^2 + (~~ -2- 2~~)^2} \\\\\\ ~\hfill AB=\sqrt{( -3)^2 + ( -4)^2} \implies AB=\sqrt{ 25 }\implies \boxed{AB=5}\)
\(B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{0}~,~\stackrel{y_2}{-2}) ~\hfill BC=\sqrt{(~~ 0- (-6)~~)^2 + (~~ -2- (-2)~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 6)^2 + ( 0)^2} \implies BC=\sqrt{ 36 }\implies \boxed{BC=6} \\\\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2}) ~\hfill CA=\sqrt{(~~ -3- 0~~)^2 + (~~ 2- (-2)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -3)^2 + (4)^2} \implies CA=\sqrt{ 25 }\implies \boxed{CA=5}\)
well, not quite.
Which sum or difference is modeled by the algebra tiles
Answer:
i believe the answer that you picked is right ....i think ^^
Question:-
The area of two similar triangles are 81 cm2 and 49 cm² respectively. If one of the sides of the first triangle is 6.3 cm, find the corresponding side of the other triangle.
Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:
\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)
To find \(\displaystyle\sf x\), we can solve the proportion above:
\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)
Taking the square root of both sides:
\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)
Simplifying the square root:
\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)
Cross-multiplying:
\(\displaystyle\sf 9x = 6.3 \times 7\)
Dividing both sides by 9:
\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)
Calculating the value:
\(\displaystyle\sf x = 4.9\)
Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answer:
Step-by-step explanation:
let's assume that the corresponding side of the second triangle is .
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:
To find , we can solve the proportion above:
Taking the square root of both sides:
Simplifying the square root:
Cross-multiplying:
Dividing both sides by 9:
Calculating the value:
Therefore, the corresponding side of the second triangle is 4.9cm
hope it helped u dear...........
What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?
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The y-intercept of the line representing Beatrice's monthly music is 20
How to determine the y-intercept of the lineFrom the question, we have the following parameters that can be used in our computation:
y = -.95x + 20
To calculate the y-intercept of the line, we set x = 0
So, we have
y = -.95 * 0 + 20
Evaluate
y = 20
Hence, the y-intercept of the line representing Beatrice's monthly music is 20
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Question
What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?
The equation is y = -.95x + 20
Answer correct plz if u steal points ill report
Answer:
Okay look at the graph, at x = 11, the y of the line is between 500 and 450. 500+450=950
950/2=475 so (11,475)
Let's take x=6, the y would then be 600. If x=9, y would be 525. Just try to look at the graph and see from there. Let me know the answer.
The equation \sqrt{6-y^2}=x
6−y
2
=x is a function of yy."
Equations are used to represent functions, and vice versa.
The equation of y as a function of x is \(y=\sqrt{6 - x^2\)
The function is given as:
\(\sqrt{6-y^2}=x\)
Square both sides
\(6-y^2=x^2\)
Subtract 6 from both sides
\(-y^2=x^2 - 6\)
Multiply both sides by -1
\(y^2=6 - x^2\)
Take square root of both sides
\(y=\sqrt{6 - x^2\)
Express as a function
\(f(x) = \sqrt{6- x^2\)
Hence, the equation of y as a function of x is \(y=\sqrt{6 - x^2\)
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Rewrite the expression in part A by breaking up each of the place values. In this case, the place values are tens, ones, and tenths. 72.3 degrees f
Answer:
72.3 degrees = 70 degrees + 2 degrees + 0.3 degrees
Step-by-step explanation:
The number, 72.3 degrees, can be rewritten by breaking up the place value of each digit in the expression as folliws,:
70 degrees + 2 degrees + 0.3 degrees
The place value of 7 is tens
The place value of 2 is ones
The place value of 3 is tenths
\( 72.3 degrees = 70 degrees + 2 degrees + 0.3 degrees \)
Answer:
72.3 + (-39.1) = 70 + 2 + 0.3 + (-30) + (-9) + (-0.1)
Step-by-step explanation:
got the off the assignment
Dimitri has let out 40m of his kite string, which makes an angle of 72° with the horizontal ground. If the kite flies directly over Sarah's head, what is the distance between Dimitri and Sarah?
Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.
How to Apply the Cosine Ratio?The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.
Using the cosine ratio, we have:
Reference angle (∅) = 72 degrees
Hypotenuse length = 40 m
Adjacent length = distance between Dimitri and Sarah = x
Plug in the values:
cos 72 = x/40
x = cos 72 * 40
x ≈ 12.4 [to one decimal place]
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I will give brainlistest. Please help me
A restaurant sells 10 tacos for $8.50, or 6 of the same kind of taco for $5.40. Which is the better deal? Explain how you know.
Answer:
10 for 8.50 is .085 for 1 taco and 5.40 for 6 is .90 per taco
Step-by-step explanation:
Q.1
According to the Department of Food and Nutrition, the recommended daily allowance (RDA) of calcium for adults is 800 mg. A nutritionist thinks that people with income below poverty level average less than RDA of 800 mg. intakes of calcium were determined for a sample of 40 people with income below poverty level. The results are obtained in the following frequency distribution. Compute the quartiles.
Intake (mg) Frequency
101-200 1
201-300 1
301-400 9
401-500 13
501-600 10
601-700 6
The quartiles of the distribution are given as follows:
First quartile: 350.5 mg.Second quartile: 450.5 mg.Third quartile: 550.5 mg.How to obtain the quartiles of the distribution?The sample size of the distribution is of:
n = 40.
The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:
Position: 0.25 x 40 = 10.Value: 350.5 mg -> mid-point of the bounds of 301 and 400.The second quartile is the value that is greater than 50% of the distribution, hence it is the value at the position which is 50% of the sample size, hence:
Position: 0.50 x 40 = 20.Value: 450.5 mg.The third quartile is the value that is greater than 75% of the distribution, hence it is the value at the position which is 75% of the sample size, hence:
Position: 0.75 x 40 = 30.Value: 550.5 mg.More can be learned about the quartiles of a distribution at https://brainly.com/question/9265525
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Find the area of this semi-circle with radius,
r
= 15cm.
Give your answer rounded to 1 DP.
Answer:
Semicircle = 353.25 cm²
Step-by-step explanation:
Area of semicircle = πr²/2
substitute the values
semi circle = 3.14 × 15 × 15 / 2
Area of semicircle = 353.25 cm²
Budgeting and you MI-Economics assignment question. Now, summarize what you have learned. Write a paragraph that explains the most important principles to keep in mind when creating a budget. Describe at least three important principles in your answer.
Answer:
It all starts by setting clear goals. You need to know what you want to accomplish in the short term and the long term. Then, you can examine your goals to find your needs and wants. You can accomplish these needs and wants by categorizing your expenses into fixed and variable categories. By keeping all of these principles in mind, you will be able to balance your budget. This will allow you to save money while also spending enough to meet your goals.
Step-by-step explanation:
Answer:
Sample Response: It all starts by setting clear goals. You need to know what you want to accomplish in the short term and the long term. Then, you can examine your goals to find your needs and wants. You can accomplish these needs and wants by categorizing your expenses into fixed and variable categories. By keeping all of these principles in mind, you will be able to balance your budget. This will allow you to save money while also spending enough to meet your goals.
Step-by-step explanation:
edg 2022
Ringani worked overtime to raise a total amount R30 000.00 to settle his student debt. If he has deposited R8 500.00 yearly into an account earning 7,04% interest per year compounded annually. How long, rounded to one decimal place did it took her to accumulate the total amount? A. 3.0 years B. 2.4 years C. 2.8 years D. 2.0 years
It took Ringani 2.8 years to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.
To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final amount
P is the principal amount (initial deposit)
r is the interest rate (in decimal form)
n is the number of times the interest is compounded per year
t is the time in years
In this case, we have:
P = R8,500.00
A = R30,000.00
r = 7.04% = 0.0704 (in decimal form)
n = 1 (compounded annually)
We want to find the value of t.
Using the formula, we can rearrange it to solve for t:
t = (log(A/P)) / (n * log(1 + r/n))
Substituting the given values, we have:
t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))
Calculating this using a calculator, we find that t is approximately 2.8 years.
Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.
The correct answer choice is C. 2.8 years.
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im sorry for asking this i forgot to add this
A turtle and a snail are 300 feet apart when they start moving toward
each other. The turtle walks 5 feet per minute, and the snail crawls 1
foot per minute.
(How fast are the turtle and snail approaching each other?)
Which of the following is true about the t-distribution? Assume a reference (random) sample of size 100 with sample mean 10 and sample standard deviation of 1 with unknown population mean and variance.
a. The t-distribution will look similar to the standard normal distribution as the sample size increases which results in the degrees of freedom increasing.
b. The t-distribution will look similar to the standard normal distribution as the sample size increases which results in the degrees of freedom decreasing.
c. The t-distribution will look similar to the normal distribution with mean 10 and standard deviation 1 as the sample size increases which results in the degrees of freedom decreasing.
d. The t-distribution will look similar to the normal distribution with mean 10 and standard deviation 1 as the sample size increases which results in the degrees of freedom increasing.
e. None of these
1000 times were added to the n=30 sample. Even with n=30, the sample variance distribution is still very biased.
What is probability ?Probability refers to possibility.
A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution.
Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
According to our question-
The sample variance's variance (SD) is still very large. The range is from 20 to 30%.
Because we are utilizing estimated population variance rather than the genuine population variance, which has some degree of uncertainty, the e t distribution has a longer tail when degrees of freedom are limited. Given that the estimated population variance is nearer to the actual population variance when sample size = 30, the t distribution will be closer to the z distribution.
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write a sentence as an equation
the product of t and 15 , minus 94 is the same as 103
Answer:
15t-94=103
Step-by-step explanation:
hav a nice day
Answer:
You already wrote the sentence, so im guessing that you want the equation...
(15)(t) - 94 = 103
Micah earns 2 points for every 3 questions he answers correctly on a test. If he answered 24 questions correctly, how many points did he earn?
Answer:
16 points.
Step-by-step explanation:
24*2/3 = 16.
Hope this helped!
*Sorry if I'm wrong, though I think I'm correct.*
Enjoy the rest of your day.
Answer:16
Step-by-step explanation: 24 divided by 3 because it is for every 3 questions. You get 8. He gets 2 points for every 3 questions so 8 times 2 is 16.
4y+4x=8 solving by slope intercept form
Answer:
y = -x+ 2
Step-by-step explanation:
Answer:
x=-y+2
Step-by-step explanation:
Add 4 to both sides. Then divide both sides by four. You get x=-y+2.
Answer the questions about the following function.
f(x) = 3x²-x-2
(a) Is the point (2,8) on the graph of f?
(b) If x= -1, what is f(x)? What point is on the graph of f?
If f(x) = -2, what is x? What point(s) are on the graph of f?
(d) What is the domain of f?
(c)
(e) List the x-intercept(s), if any, of the graph of f.
(f) List the y-intercept, if there is one, of the graph of f.
Step-by-step explanation:
f(x)=3x²-x-2
a) (2,8)
f(2)=3(2²)-2-2
f(2)=3(4)-4
f(2)=12-4
f(2)=8
Hence, the point (2,8) is on the graph of f(x)
b) x=-1
f(-1)=3((-1)²)-(-1)-2
f(-1)=3(1)+1-2
f(-1)=3-1
f(-1)=2
c) x=-2
f(-2)=3((-2)²)-(-2)-2
f(-2)=3(4)+2-2
f(-2)=12+0
f(-2)=12
\(d)\ f(x)\in(-2\frac{1}{12} ,\infty)\)
e) y=0
3x²-x-2=0
3x²-x-2=0
3x²-3x+2x-2=0
3x(x-1)+2(x-1)-0
(x-1)(3x+2)=0
x-1=0
x=1
3x+2=0
3x=-2
Divide both parts of the equation by 3:
x=-2/3
f) x=0
f(x)=3(0²)-0-2
f(x)=3(0)-2
f(x)=0-2
f(x)=-2
Which equations have no real solution but have two complex solutions?
Answer:
c
Step-by-step explanation:
F(x)=|x|-7 describe the transformation of each function compared to its parent function
Compared to the parent function f(x)=|x|, the graph of F(x) is a translation 7 units down.
Find the slope, x-intercept, and y-intercept of the lines with the given equations.
y=2x+4
Answer:
here you go! y = 2 x + 4. Swap sides so that all variable terms are on the left hand side. Swap sides so that all variable terms are on the left hand side. 2x+4=y. 2 x + 4 = y. Subtract 4 from both sides. Subtract 4 from both sides. 2x=y-4. 2 x = y − 4
Answer:
2, 4, -2
Step-by-step explanation:
The slope is directly in the equation, the variable m in the slope-intercept form of y = mx + b. This means that the slope is 2.
The y-intercept is the variable b in standard form, so 4 in this case.
To find the x-intercept, set y equal to zero.
0 = 2x + 4
2x = -4
x = -2
Given that cos x = 3/5 and 0
Answer:
What do we have to do in this? Find x? Let me know I'll explain it in the comment section
if -7(y-3)= -14 what is the value of y
Hi I need help with 800×200= 8 × ______ hundreds=_____ Hundreds = _______ plz help me
Answer:
800×200= 8 × 200 hundreds= 1600 Hundreds = 160000
2. Which will help you answer, "To what power must a student raise the number 5 to have an answer of 625?"
Answer:
125
Step-by-step explanation:
You pick a card at random. 5 6 7 What is P(odd or greater than 6)?
The answer to the question is 1/3.
There are three possible outcomes: 5, 6, or 7.
Out of these three outcomes, only two satisfy the condition of being odd or greater than 6: 7.
Therefore, the probability of picking a card that is odd or greater than 6 is 1/3, or approximately 0.333 or 33.3%.
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