Answer:
5
Step-by-step explanation:
Solve the equation first for "m"
6m + 12 = 42
6m = 30 (subtract 12)
m = 5 (Divide by 6)
5 is your answer
Hope this help! Please mark me brainliest, it helps!
Worth 100 points IF answered correctly:
Answer:
8/6
Step-by-step explanation:
Sam has 8 times the number of eggs Kyle has can be expressed as:
[tex]\displaystyle \large{8\cdot \dfrac{1}{6}}[/tex]
As given, the number of eggs Kyle has is 1/6 so out of 6 eggs, Kyle only had 1.
Therefore, 8 multiplies/times the number of eggs is:
8/6
solve it in form of cos and sin pls
[tex]\text{L.H.S}\\\\=\dfrac{\cot A}{1- \tan A} + \dfrac{\tan A}{1- \cot A}\\\\\\=\dfrac{\tfrac{\cos A}{\sin A}}{1- \tfrac{\sin A}{\cos A}} + \dfrac{\tfrac{\sin A}{\cos A}}{1-\tfrac{\cos A}{\sin A}}\\\\\\=\dfrac{\tfrac{\cos A}{\sin A}}{\tfrac{\cos A- \sin A}{\cos A}} + \dfrac{\tfrac{\sin A}{\cos A}}{\tfrac{\sin A - \cos A}{\sin A}}\\\\\\=\dfrac{\cos^2 A}{\sin A(\cos A-\sin A)} + \dfrac{\sin^2 A}{\cos A(\sin A - \cos A)}\\\\\\[/tex]
[tex]=\dfrac{\cos^2 A}{\sin A(\cos A-\sin A)} - \dfrac{\sin^2 A}{\cos A(\cos A - \cos A)}\\\\\\=\dfrac 1{\cos A - \sin A} \left( \dfrac{\cos^2 A}{\sin A} - \dfrac{\sin^2 A}{\cos A}\right)\\\\\\=\dfrac 1{\cos A - \sin A} \left(\dfrac{\cos^3 A - \sin^3 A}{\sin A \cos A} \right)\\\\\\=\dfrac 1{\cos A - \sin A} \left[\dfrac{(\cos A - \sin A)(\cos^2 A + \sin^2 A + \sin A \cos A)}{\sin A \cos A} \right]\\\\\\=\dfrac{\cos^2 A + \sin^2 A+\sin A \cos A}{\sin A \cos A}\\\\\\[/tex]
[tex]=\dfrac{\cos^2 A}{\sin A \cos A}+\dfrac{\sin^2 A}{\sin A \cos A}+\dfrac{\sin A \cos A}{\sin A \cos A}\\\\\\=\dfrac{\cos A}{\sin A} + \dfrac{\sin A}{\cos A} + 1\\\\\\=\cot A + \tan A + 1\\\\\\=1 + \tan A + \cot A\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
(x^2 - 14x + 48) divided (x-6)
Answer: (x^2 - 14x + 48) : (x-6) = 0(x^2 - 14•x + 48) : (x-6) = 0x = 8
Step-by-step explanation:
i hope this is the answer your looking for
Which table represents a linear function?
x
X
y
x
х
y
1
y
0
y
1
0
0
0
0
0
1
2
1
1
1
1
1
3
AN
low
N
4
3
2
0
N
5
2
3
3 3
8.
3
6
3
1
3
7
O
o
Answer:
(d) see attached
Step-by-step explanation:
A linear function has equally-spaced outputs for equally-spaced inputs. The given tables all have sequential values for x, so we can find the linear function by looking at the differences of y-values.
a) 2 -1 ≠ 4 - 2 . . . . not linear (exponential)
b) 1 -0 ≠ 3 -1 . . . . not linear (quadratic)
c) 1 - 0 ≠ 0 - 1 . . . . not linear
d) 3 -1 = 5 -3 = 7 -5 . . . . a linear function
Letter D. A linear function.
Step-by-step explanation:
# Brainliest Bunch
Part B
Find the equation of a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the
limit you found in part A.
The function is f(x) = x³ − 4x² + 2.
How to find the slope?The slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.
Find the difference between the y coordinates, Δy is change in y.Find the difference between the x coordinates, Δx is change in x.Divide Δy by Δx to find slope.As,
Slope = rise/ run
Given:.
f(x) = x³ − 4x² + 2
As a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit.
Then the slope of the function is given by the differentiation.
slope= d/dx [f(x)]
slope= d/dx ( x³ − 4x² + 2)
slope= 3x² - 8x
slope= 3* 3* 3 -8*3
slope= 27-24
slope= 3
Learn more about the slope here:
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You are a teller at a bank. A customer has $252 in their checking account. They write a check for $287 (debit) that is cashed by the recipient . Will the new balance be positive or negative?
Simplify the polynomial then evaluate for x=-1 3x^2-4+2x-1+x^2
Answer:
-3
Step-by-step explanation:
Simplified polynomial: 4x^2 + 2x - 5
Plug in -1: 4(-1)^2 + 2(-1) - 5
= -3
Les gusta mi dibujo a mano con lapiz y papel
Está bonito, solo algunos detalles, pero con practica creeme que va estar mejor. Los dedos de las manos hay que trabajar más, ¡Está bonito!
Q10. Consider the following algorithm:
g_1 = 9
g_2 = 5
Git
For k starting at 0 and ending with 8:
gk = (k-1)*gk-1 + gk-2
What is the last term, 8, of the recursive sequence generated as a result of
executing this algorithm?
Answer:
61,940
Step-by-step explanation:
For a recursive sequence of reasonable length, it is convenient to use a suitable calculator for figuring the terms of it. Since each term not only depends on previous terms, but also depends on the term number, it works well to use a spreadsheet for doing the calculations. The formula is easily entered and replicated for as many terms as may be required.
__
The result of executing the given algorithm is shown in the attachment. (We have assumed that g_1 means g[-1], and that g_2 means g[-2]. These are the starting values required to compute g[0] when k=0.
That calculation looks like ...
g[0] = (0 -1)×g[-1] +g[-2} = (-1)(9) +5 = -4
The attachment shows the last term (for k=8) is 61,940.
Matthew plays basketball for his high school. On average, he scores 33 points per game, with a standard deviation of 2 points. What percentage of basketball games will result in Matthew scoring less than 27 points?
Note: Assume that a Normal model is appropriate for the distribution of points.
Matthew will score less than 27 points in about 0.15% of his basketball games.
=======================================================
Explanation:
mu = 33 = population mean
sigma = 2 = population standard deviation
Let's find the z score when x = 27
z = (x - mu)/sigma
z = (27-33)/2
z = -6/2
z = -3
A score of 27 points is exactly three standard deviation units below the mean of 33 points.
Now refer to the Empirical Rule chart shown below. Notice that roughly 99.7% of the entire population is within 3 standard deviations of the mean. This is the span from z = -3 to z = 3.
That leaves about 100% - 99.7% = 0.3% left over for the two tails combined.
One tail has about (0.3%)/2 = 0.15% of the total area, and therefor about 0.15% of the total games will have Matthew scoring less than 27 points. This is an estimate of course.
To get a more accurate answer, you can use a Z table to find that
[tex]P(Z < -3) \approx 0.00135 \approx 0.135\%[/tex]
which isn't too far off from the 0.15%
Answer:
I believe is the correct answer
Step-by-step explanation:
a
7x=7.7 How would i figure this out ?
if the cos 30° = sqrt 3/2, then sin 60° =
a. 0
b. 1/2
c. sqrt of 3 /2
d. 1
Answer:
C
Step-by-step explanation:
it's well known that the value of sin60 is sqrt 3/2
it's also the same as cos 30
Bame has a bag of $1 and $2 coins
The total mase of the coins is 71.4 grams
Bame knows that
• the mass ofa$1 coin is 9 grams and
* the mass of a $2 coin is 6.6 grams
What is the value of the coins in a bag
Answer:
$13
Step-by-step explanation:
9x + 6.6y = 71.4
6.6(4) = 26.4
71.4 - 26.4 = 45
9 / 45 = 5
$2 = 4
$1 = 5
$2 * 4 = $8
$1 * 5 = $5
$8 + $5 = $13
Katie baked a cake. Her brother ate 1/8 of the cake, her father ate 1/4 of the cake, and her mother ate 1/8 of the cake. How much is left?
Answer:
1/2
Step-by-step explanation:
hope this helps and have a nice day!
The probabilities by subject of on-time assignment submission and on-time arrival in class are given in the table. Subject On-time Assigment Submission On-time Arrival in Class Physics 89.7% 82.3% Math 88.2% 88.7% Chemistry 89.4% 83.1% Biology 90.1% 82.4% Total 88.5% 84.7% What is the probability of on-time arrival in class given that the subject is biology? A. 90.1% B. 88.5% C. 84.7% D. 82.4% E. insufficient data
The probability of on-time arrival in class given that the subject is biology is, 82.4%.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
The probabilities by subject of on-time assignment submission and on-time arrival in class are given in the table.
Here, the table is,
Subject: On-time Assignment: On-time Arrival to Class:
PHYSICS 89.7% 82.3%
MATH 88.2% 88.7%
CHEMISTRY 89.4% 83.1%
BIOLOGY 90.1% 82.4%
TOTAL 88.5% 84.7%
Now, from table;
The probability of on-time arrival in class given that the subject is biology is, 82.4%.
Hence, the probability of on-time arrival in class given that the subject is biology is, 82.4%.
Learn more about the probability visit:
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Find the area and the circumference of a circle with radius 9 ft.
Use the value 3.14 for pie, and do not round your answers. Be sure to include the correct units in your answers.
Answers:
Area = 254.34 square feet
Circumference = 56.52 feet
=========================================================
Work Shown:
Area = pi*(radius)^2
A = pi*r^2
A = 3.14*9^2
A = 254.34 square feet
----------------
Circumference = 2*pi*(radius)
C = 2*pi*r
C = 2*3.14*9
C = 56.52 feet
The two results are approximate since pi = 3.14 is approximate.
1st area of circle:
[tex]\bold{\ area \ of \ circle \ : \pi r^2}[/tex]
[tex]\hookrightarrow \sf (3.14)(9)^2[/tex]
[tex]\hookrightarrow \sf 254.34 \ ft^2[/tex]
2nd circumference of circle:
[tex]\bold{circumference \ of \ circle \ : \ 2\pi r}[/tex]
[tex]\hookrightarrow \sf 2(3.14)(9)[/tex]
[tex]\hookrightarrow \sf 56.52 \ ft[/tex]
area of circle = 254.34 ft²circumference of a circle = 56.52 ftWrite an equation in slope-intercept form of the line shown.
An equation is
Answer:
y = 3/4x - 1
Step-by-step explanation:
m = (1-4)/(4-8) = -3/-4 = 3/4
b = (0, -1)
y = mx + b
y = 3/4x - 1
BRAINLIEST please if this helps!20 characters just for you brainly
Answer:
first and last option
Step-by-step explanation:
the first and the last are increasing from left to right since the slope is positive.
Nathaniel had $40 to spend on 9 beakers for his science class. After buying them, Nathaniel had $4 left. How much did each of the beakers cost?
Answer:
each baker cost $4
Step-by-step explanation:
4 times 9 is 36, and that leaves 4
Expand and simplify (x - 7)(x + 4)
Answer:
x^2 - 3x - 28
Step-by-step explanation:
(x-7)(x+4) = x^2 + 4x - 7x - 28 according to the distributive property
Which = x^2 - 3x - 28
Answer:
[tex]x^{2} -3x-28[/tex]
Step-by-step explanation:
[tex](x - 7)(x + 4)\\x(x + 4)-7(x + 4)\\x^{2} +4x-7x-28\\x^{2} -3x-28[/tex]
Find the slope of the line (2,-3) (4,-7)
Use the slope formula:-
[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]
[tex]\displaystyle\frac{-7-(-3)}{4-2} =\frac{-7+3}{2} =\frac{-4}{2} =\bigstar{\boxed{\pmb{-2}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Making auto parts A grinding machine in an auto
parts plant prepares axles with a target diameter
p = 40.125 millimeters (mm). The machine has
some variability, so the standard cleviation of tlic
diameters is a = 0.002 mm. The machine operator
inspects a random sample of 4 uxles cach hour for
quality control purposcs and records llic sample
mcan diameter 1. Assuming that the process is work-
ing properly, what are the mean and standard devia I
fion of the sampling distribution of ? Explain.
Answer: See below
Step-by-step explanation:
Mean:
Since the sample is taken from a large population it follows the central limit theorem, which states that the sample mean is approximately equal to the population mean.
Therefore: [tex]\bold{\bar{X}=\mu=40.125}[/tex]
Standard Deviation:
Again by central limit theorem the standard deviation of the sample is calculated as:
[tex]S=\frac{\sigma}{\sqrt{n}}[/tex]
Since n=4, therefore
S = 0.001
Someone help me out with this!!
Answer:
Missing Angle = 75 degrees
This answer may not be correct, if it is or is not, please tell me in the comments!
Step-by-step explanation:
The Missing Angle:
All of the angles add up to 180 since it is a triangle, so the equation is:
90 (the box aka right angle) + 15 + (the missing angle) = 180
Then, add 90 + 15 = 105. After that, do:
180 - 105 = 75 degrees (don't forget the label!)
I am so sorry, but unfortunately, I do not know the answer for finding the lengths of the sides x and y.
Answer:
75°, x = 49.69, y = 12.85Step-by-step explanation:
The missing angle is complementary with given since the triangle is right.
90° - 15° = 75°Use trigonometry to find x
cos 15° = 48/xx = 48/cos 15°x = 49.69 (rounded)Use Pythagorean to find y
[tex]y=\sqrt{49.69^2-48^2} =12.85[/tex] roundedplease help me answer this question.. no links
Answer:
The answer is 28 Units
It's number 3.
A student performed the following steps to find the solution to the equation x^2 + 14x + 40 = 0. Where did the student go wrong?
Step 1. Factor the polynomial into (x + 4) and (x + 10)
Step 2. x + 4 = 0 or x + 10 = 0
Step 3. x = -4 or x = 10
A. In step 3
B. The student did not make any mistakes, the solution is correct
C. In step 1
D. In step 2
Answer:
A. in Step 3
Step-by-step explanation:
It is factored correctly. Then separated into two smaller equations correctly. But in solving x + 10 = 0, there is an error.
x + 10 = 0
Add -10 to both sides.
x = -10
So, the error is in step 3.
Answer:
A . In Step 3.
Step-by-step explanation:
In step 3 the student went wrong
x = 4 or x = -10 is correct
( if x + 10 = 0, then x = -10)
Select the correct answer.
The histogram shows the weekly attendance of participants in a school's study skills program. Student attendance numbers were the same during which two weeks of the workshop?
A.
weeks 1 and 2
B.
weeks 2 and 4
C.
weeks 5 and 6
D.
weeks 4 and 6
Answer:
That would be week 2 and 4 (B). They are both at 12 students attending
5 Ed has two dogs. The smaller dog weighs
83 pounds. The larger dog weighs 13 times
as much as the smaller dog. How much does the larger dog weigh?
Answer:
1,079 more pounds
Step-by-step explanation:
because if you do 83x13 you will get 1,079
Which will usually always be a higher amount?
A. Compound interest
B. Time
C. Debit
D. Simple interest
please help me Find m< G
Answer:
70°
Step-by-step explanation:
All angles in a kite equal 360°.∠F≅∠H. 360-(90+90+110) will get you the answer.
What's the difference between arithmetic and geometrical sequence with examples please.
Answer:
An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.
-- Credit -- libretexts
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Answer:
An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.
Step-by-step explanation: