There's a lot going on in this problem, but I think I know how to solve it. So let's first address the fact that opposite angles are equal.
Let's also address the fact that (x + 6) + (3x - 4) add up to equal 90. So with that information, we can write a problem.
x + 6 + 3x - 4 = 90
Add the x's.
4x + 6 - 4 = 90
Combine the 6 and 4.
4x + 2 = 90
Subtract the two on both sides.
4x = 88
Finally, divide by 4.
x = 22
But by no means are we done yet. We still have to find out the entire angle MFE's measure, so we'll substitute 22, our new x value, into the equation for MFE - (x + 6)
22 + 6 is the new equation.
22 + 6 = 28
Angle MFE is 28°. I took the liberty of solving for the other angle, too, so I could check the answer. And as of my checking, this answer is correct because
62 + 28 = 90
I hope this answers your question.
-Toremi
find y and w
help please
Answer:
w = 12
y= 4sqrt2
Step-by-step explanation:
Consider the quadratic equation x3 = 48-5. How many solutions does the equation have?
Answer:
you would have 84-.10 I think
Step-by-step explanation:
The population of Fruit Flies can be modeled with the expression f(t) = 300e0.02t, fort
months. Answer the following questions based on the function and its graph.
a. How many Fruit Flies were initially in this population?
b. At what rate of growth is the population growing each month?
Population
600
c.
How large will the population be after 3
months?
d. How long would it take for the population to
reach 1000 Fruit Flies
Answer: b. At what rate of growth is the population growing each month?
Population
600
Step-by-step explanation:
Can you factor -8x²=2x-3
Scott is the owner of a tool and die shop. He has hired you to check his machine’s calibration prior to starting production on a large order. To check this, you set the machine to create 1.5 inch screws and manufacture a random sample of 200 screws. That sample of screws has an average length of 1.476 inches with a standard deviation of 0.203 inches.
Does this sample provide convincing evidence that the machine is working properly or should it be shut down for repairs? Justify your reasoning mathematically.
Using the t-distribution, it is found that we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.
What are the hypothesis tested?At the null hypothesis, it is tested if the mean is of 1.5 inches, that is:
[tex]H_0: \mu = 1.5[/tex].
At the alternative hypothesis, it is tested if it is different, hence:
[tex]H_1: \mu \neq 1.5[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, their values are:
[tex]\overline{x} = 1.476, \mu = 1.5, s = 0.203, n = 200[/tex].
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{1.476 - 1.5}{\frac{0.203}{\sqrt{200}}}[/tex]
[tex]t = -1.672[/tex]
What is the decision?Considering a two-tailed test, as we are testing if the mean is diffrent of a value, with 200 - 1 = 199 df and a standard significance level of 0.05, the critical value is of [tex]|t^{\ast} = 1.972[/tex].
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.
More can be learned about the t-distribution at https://brainly.com/question/16313918
John went to his local zoo where 50% of it's exhibits featured whales. if the zoo feature 24 exhibits in total, then how many zoo's exhibits feature whales?round your answe to the nearest whole number.
Answer:
12
Step-by-step explanation:
if 50% of it's exhibits feature whales, and they have 24 exhibits, then the answer would be 12. Remember, 50% means one half, and one half of 24 is 12. There is no need to round to a whole number because 24 is not an odd number.
What is the result of adding these two equations?
2x+7y=4
-2x-8y=-2
Answer:
y=-2
Step-by-step explanation:
2x-2x=0
7y-8y=-y
4-2=2
-Y=2
Y=-2
Which expression is equivalent to [tex]sin\frac{7\pi }{6}[/tex]?
Check the picture below.
notice, the pairs in the Unit Circle are the (cosine , sine) pair, which are equivalent to (x , y) values in a cartesian plane.
Answer:
D on edg 2022
Step-by-step explanation:
Write the equation of the line that passes through (0, 2) and (2, -4) in slope-intercept form.
[tex]\text{Given that,}\\\\(x_1,y_1) = (0,2)~~ \text{and} ~~ (x_2,y_2) =(2,-4)\\\\\text{Slope,}~~m = \dfrac{y_2 -y_1}{x_2 - x_1} = \dfrac{-4-2}{2-0}=-\dfrac 62 = -3\\\\\\\text{Equation with given points,}\\\\~~~~~~y-y_1 = m(x-x_1)\\\\\implies y-2 = -3(x-0)\\ \\\implies y-2 = -3x \\\\\implies y = -3x +2\\\\\text{This is the equation of line in slope- intercept form(y=mx+c).}[/tex]
What is 10^5/10^3=?
What is the answer
Answer:
10⁵ / 10³ = 10^(5-3)= 10²
while diving the power gets subtracted if they have same base
simplify exponents please! need the answer immediately.
Answer:
[tex]\frac{w^{6} }{9 }[/tex]Step-by-step explanation:
Given
[tex]\frac{3^{-2}*k^{0}*w^{0} }{w^{-6} }[/tex]Remember :
Any term raised to the power 0 is equal to 1Solving
[tex]\frac{3^{-2} }{w^{-6} }[/tex][tex]\frac{w^{6} }{9}[/tex]Answer:
[tex]\huge\boxed{\bf\:\frac{w^{6}}{9}}[/tex]
Step-by-step explanation:
[tex]\frac{ 3 ^ { -2 } \times k ^ { 0 } \times w ^ { 0 } }{ w ^ { -6 } }[/tex]
Any number with 0 as its exponent will be equal to 1. So,
[tex]\frac{3^{-2} \times 1 \times 1}{w^{-6}}\\= \frac{3^{-2}}{w^{6}}[/tex]
Now,
[tex]\frac{3^{-2}}{w^{6}}\\= 3^{-2}w^{6}[/tex]
Then,
[tex]3^{-2}w^{6}\\= \frac{1}{3^{2}}w^{6}\\= \frac{1}{9}w^{6}\\= \boxed{\bf\:\frac{w^{6}}{9}}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
What is the volume of a right circular cylinder with a diameter of 19.6 yd and a height of 23.52 yd?
Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
Answer:
7092.82 cubic yards
Step-by-step explanation:
The volume of a right circular cylinder is given by:
V represents the volume of a cylinder.
r represents the radius of a cylinder.
h represents the height of a cylinder.
As per the given statement:
Diameter(D) = 19.6 yd and height(h) = 23.52 yd.
Diameter = 2r where r is the radius of the cylinder
Substitute these given values in [1] we have cubic yard
Simplify:
V = 7,092.82291 cubic yard.
Hope this helps!
50 divided by 0.25 With solution.
Answer:200
Step-by-step explanation:
50x100/0.25x100 (to make it into non decimal no.)
5000/25=200
[tex]\dfrac{50}{0.25}\\\\\\=\dfrac{50}{\tfrac{25}{100}}\\\\\\=50 \times \dfrac{100}{25}\\\\\\=2 \times 100\\\\\\=200[/tex]
$500 is deposited in a bank account paying 6% simple interest, how much interest will the deposit earn in 4 years?
Answer:
It will gain $120, making it $620 in all.
Step-by-step explanation:
A = 500(1 + (0.06 × 4)) = 620
(4.5 x 10^9) + (4.5 x 10^-4)
This should be the correct answer,
4.5×10^9x + 0.00045x
Also, some good free calculators that can help with problems like this would be c y m a t h and m a t h w a y .
Nick is having a birthday party. His mother said he must spend less than $42 on party favors and decorations. If all the decorations cost $21 and each favor is $3.50, how many favors can Nick buy?
Answer:6
Step-by-step explanation:
What you do is you divide 21 and 3.50 and that equals 6 so Nick can buy 6 favors under 42$. (I hope this helped if not then im sorry <3)
If a=2, b= -1 and c=1, then find the value of:
A- a+b-c²
B- a³-b+c
C- a-b-c
Answer:
Step-by-step explanation:
A. 2 + -1 - 1^2 = 1 - 1 = 0
B. 2^3 - -1 + 1 = 8 + 1 + 1 = 10.
C. 2 - -1 - 1 = 2 + 1 - 1 = 2.
=2+(-1-1)^2
=1-1
=0
B- a³-b+c2^3-(-1+1)
=8+1+1
= 10
C- a-b-c2-(-1-1)
=2+1-1
=2
Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn’t have feature A. You’re allowed to ask people how old they are and whether they have feature A. You want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A”.
What’s the minimum number of people you have to ask?
One person
Two people
Three people
Four people
Clear
Which people do you ask?
Anne
Bob
Charlie
Daniel
Two people, Anne and Charlie.
StatisticsGiven that Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn't have feature A, and you want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A ”, to determine what's the minimum number of people you have to ask and which people do you ask, the following calculation must be performed:
Of the 4 people, 1 is over 30 years old and another has feature A, with which both should be considered for the study, while the other two do not meet the requirements. So, these two people would be Anne and Charlie.
Learn more about statistics in https://brainly.com/question/8058700
Question 1 which of the following is the square of a binomial
a. M^2-2mn+n^2
b. c^2-cd+d^2
c. a^2+b^2
d. 4x^2-9y^2
Question 2
square the binomial (r+s). what is the result?
Answer:
c just because
Step-by-step explanation:
just because
I need help on this question I don’t get what it’s asking what so ever
Answer:
y=4
Step-by-step explanation:
The question is asking what is the value of y:
Since all lengths have a dash on them they are all equal :
So 3y = y+8
3y = y + 8
First we subtract y from both sides:
3y-y = y+8-y
2y = 8
Divide both sides by 2:
2y÷2 = 8÷2
y = 4
Answer:
Step-by-step explanation:
The question is asking you to find the value of y in a square.
A square has same length in all sides so we can achieve that:
y+8 is equal to 3y
simplifying that, we find out the answer is 4. How?
We have previously acheived that:
y+8=3*y
So we need to find y using these steps:
1. Subtract 3y from both sides:
y+8−3y=3y−3y
−2y+8=0
2. Divide both sides by -2:
y=4
help please
i’ll give good rating
Answer:
closed circle means 10 is a possible answer
m is greater or equal to 10
it's the 1st and 4th options
Step-by-step explanation:
Answer:
m ≥ 10 and it's a closed circle that is a possible answer.
Step-by-step explanation:
Rules:
Open circle: < (going left) or > (going right)
Closed circle: ≤ (going left) or ≥ (going right)
Here, we have a closed circle at 10, going right (≥).
Therefore, the correct answers are: m ≥ 10 and it's a closed circle that is a possible answer.
This means that m is equal to 10, or any value that is greater than 10.
Hope this helps!
What is the volume of this triangular prism?
Answer:
[tex]\text { The volume }=288 \mathrm{ft}^{3}[/tex]
Step-by-step explanation:
let V be the volume of the prism
B The area of the base which is a triangle
h is the height of the prism
______
Formula:
V = B × h
________
[tex]\begin{aligned}B &=\frac{9 \times 4}{2} \\&=\frac{36}{2} \\&=18\end{aligned}[/tex]
h = 16
Now we calculate:
[tex]\begin{aligned}V &=B \times h \\&=18 \times 16 \\&=288\end{aligned}[/tex]
Select all the expressions that are equivalent to the following calculation add 43 and 25 then multiply by 8.
Answer:544
Step-by-step explanation:43 + 25 = 68
68 × 8 = 544
Create an equation to solve.
Answer:
x = 80 - 54
Explanation:
The whole angle is 80 degrees, and the other part is 54 degrees, so subtract 54 from 80 to get the other part (x).
Estimate
10
12
−
3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.
Answer:
The bench mark values might be 10/120 - 30/80
Step-by-step explanation
PLEASE HELP!!!!! I need to pass algebra
Answer:
C
Step-by-step explanation:
PLASE HELP ASAP, brainly >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Use the system of equations to answer the following question:
2x - 5y = -6
2x - 7y = -14
Which ordered pair is the solution to the system?
I Hope That I Am Not To Late, But The Answer Is D (7,4) <3
Explanation
2 x 7 = 14
5 x 4 = 20
14-20= -6
>>>
2 x 7= 14
7 x 4 = 28
14-28= -14
X= 7 & Y=4
Once again sorry if i am late, if others come I hope this helps UwU
i’m struggling and my brain won’t work right now help
Answer:
10sr2 or 14.1421356
Step-by-step explanation:
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
if the triangle is an Isosceles triangle, then it's other two angles measure 45° each.
So, let's use Trigonometry here :
[tex]\qquad \sf \dashrightarrow \: \cos(45) = \dfrac{10}{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{10}{x} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 10 \sqrt{2} [/tex]
Therefore, the value of x is 10√2 units
Which table represents a relation that is not a funtion?
Answer:
D
Step-by-step explanation:
because in D one input value (3) has 2 different assigned output values (0 and -4).
that violates the definition of a function, where every input value must have exactly 1 assigned output value (but the output values themselves don't have to be different for different input values, so, e.g. A is still a function).
Pls help! I really need help! This is the question..
A sample of iron has dimensions of 2 cm x 4 cm x 6 cm and a mass of 100g. What is the density of the sample?
Answer:
2.083 g/[tex]cm^{3}[/tex]
Step-by-step explanation:
Density is mass / volume
volume = length * width * height
(In this case since iron is usually in a block unless stated otherwise)
100g / (2*4*6)cm^3 = density
100g / [tex]48 cm^{3}[/tex] = 2.083 g/[tex]cm^{3}[/tex]