Answer:
30sequences
Step-by-step explanation:
Using nx (n-1)
And
n is the number of ternary digits in the number.
So For 6 digits n is 6 so the number of numbers that have exactly one 1 AND exactly one 2 is 30.
That is 6(6-1)= 30
find the indicated angle. Round your answer to the nearest tenth. Part 2. Show work please
Answer: 5) 72.6° 6) 68.7° 7) 37.3° 8) 81.5°
Step-by-step explanation:
Law of Cosines: a² = b² + c² - 2bc · cos A
b² = a² + c² - 2ac · cos B
c² = a² + b² - 2ab · cos C
5) a = 27, b = 26, c = 20, A = ???
a² = b² + c² - 2bc · cos A
27² = 26² + 20² - 2(26)(20) · cos A
729 = 676 + 400 - 1040 cos A
729 = 1076 - 1040 cos A
-311 = -1040 cos A
[tex]\dfrac{311}{1040}=\cos A\\\\\cos^{-1}\bigg(\dfrac{311}{1040}\bigg)=A[/tex]
72.6° = A
6) a = 11, b = 13, c = 12, B = ???
b² = a² + c² - 2ac · cos B
13² = 11² + 12² - 2(11)(12) · cos B
169 = 121 + 144 - 264 cos B
169 = 265 - 264 cos B
-96 = -264 cos B
[tex]\dfrac{96}{264}=\cos B\\\\\cos^{-1}\bigg(\dfrac{96}{264}\bigg)=B[/tex]
68.7° = B
7) a = 19.2, b = 11.7, c = 16.5, B = ???
b² = a² + c² - 2ac · cos B
11.7² = 19.2² + 16.5² - 2(19.2)(16.5) · cos B
136.89 = 368.64 + 272.25 - 633.6 cos B
136.89 = 640.89 - 633.6 cos B
-504 = -633.6 cos B
[tex]\dfrac{504}{633.6}=\cos B\\\\\cos^{-1}\bigg(\dfrac{504}{633.6}\bigg)=B[/tex]
37.3° = B
8) a = 8.8, b = 12.4, c = 14.1, C = ???
c² = a² + b² - 2ab · cos C
14.1² = 8.8² + 12.4² - 2(8.8)(12.4) · cos C
198.81 = 77.44 + 153.76 - 218.24 cos C
198.81 = 231.2 - 218.24 cos C
-32.39 = -218.24 cos C
[tex]\dfrac{32.39}{218.24}=\cos C\\\\\cos^{-1}\bigg(\dfrac{32.39}{218.24}\bigg)=C[/tex]
81.5° = C
Point Tis on line segment SU. Given TU = 4x + 1, SU = 8, and ST = 3x,
determine the numerical length of TU.
Answer:
5 units
Step-by-step explanation:
If point T is on the line segment SU, then ST + TU = SU.
Given
TU = 4x + 1
SU = 8
ST = 3x
To get TU, we need to get the value of x first. To get x, we will substitute the given parameters into the formula;
3x+4x+1 = 8
7x+1 = 8
subtract 1 from both sides
7x+1-1 = 8-1
7x = 7
divide both sides by 7
7x/7 = 7/7
x = 1
Substitute x = 1 into the length TU
Since TU = 4x+1
TU = 4(1)+1
TU = 5
Hence the numerical length of TU is 5 units
The temperature in a town is 28.1 during the day and -6.5 °F at night Find the difference in the temperatures
Answer:
28.1 - (-6.5) = 34.6
Step-by-step explanation:
Subtracting a negative is the same as adding a positive. So, 28.1 minus negative 6.5 is same as 28.1 plus 6.5 and you get 34.6
Answer:
yeah it is 34.6
Step-by-step explanation:
The scale of a map is 1 in = 11.9 miles. How many inches will be drawn on the map to represent 30.9 miles?
Answer:
2.60 inches
Step-by-step explanation:
Map and actual distances are proportional. So the map distance m for 30.9 miles will be related to the actual distance in the same way the scale is:
m/30.9 = 1/11.9
m = 30.9/11.9 ≈ 2.5967
The length on the map is about 2.60 inches.
I’m stuck please help?
Answer:
1,3,5,7,9...
Step-by-step explanation:
All of the answers go up by +2
A teacher raised a total of $135 for school supplies. He divides the money evenly among his 10 students.
Answer:
Each gets $13.5
Step-by-step explanation:
135/10= 13.5
Which problem can be solved by division of decimals? How much money does Jon need to buy 10.3 gallons of gas that costs $3.79 a gallon? What grade does Maria need on her next test to achieve a total of at least 400 points if she had 4 previous tests that had grades of 75.3, 92.1, 78.6, and 81.0? Helena saved $45.00 toward a dress that costs $78.00. How much more does she need to save? Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?
Answer:
The answer is the question "Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?"
45.50 ÷ 7 = ?
As per linear equation, 4th problem can be solved by division of decimals.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1."
The given questions are:
1. How much money does Jon need to buy 10.3 gallons of gas that costs $3.79 a gallon?
This problem can be solved by multiplication of decimals.
2. What grade does Maria need on her next test to achieve a total of at least 400 points if she had 4 previous tests that had grades of 75.3, 92.1, 78.6, and 81.0?
This problem can not be solved by division of decimals. It requires addition and subtraction.
3. Helena saved $45.00 toward a dress that costs $78.00. How much more does she need to save?
This problem can not be solved by division of decimals. It requires subtraction.
4. Mica spent $45.50 on 7 indoor baseball sets. How much does it cost for one set?
This problem can be solved by division of decimals.
Learn more about linear equation here: https://brainly.com/question/17204085
#SPJ3
Sin(x)=x- x3/3!+x5/5!-x7/7!+....The percentage relative approximate error in using three terms to find sin(4.1) is ______percent.
Answer:
The answer is "239.62%".
Step-by-step explanation:
Given value:
[tex]\bold{\sin(x)=x- \frac{x^3}{3!}+\frac{x^5}{5!} - \frac{x^7}{7!}+....}[/tex]
Solve the first three values:
[tex]\sin(x)=x- \frac{x^3}{3!}+\frac{x^5}{5!}[/tex]
put the value of sin(4.1):
[tex]\to \sin(4.1)=(4.1)- \frac{(4.1)^3}{3!}+\frac{(4.1)^5}{5!} \\\\[/tex]
[tex]=(4.1)- \frac{(4.1)^3}{3!}+\frac{(4.1)^5}{5!} \\\\=(4.1)- \frac{68.92}{3 \times 2\times 1}+\frac{1158.56}{5\times 4 \times 3 \times 2 \times 1}\\\\[/tex]
[tex]=(4.1)- 11.48+9.65\\\\= 2.27[/tex]
The actual value of [tex]\sin(4.1) = -1.59[/tex]
Calculating the percentage relative approximate error value:
Formula:
[tex]=\frac{actual \ value - \ approx \ value }{actual \ value} \times 100\\\\[/tex]
[tex]=\frac{-1.59 - 2.27 }{-1.59} \times 100\\\\= \frac{-3.81}{-1.59} \times 100\\\\= \frac{3.81}{1.59} \times 100\\\\=239.62 \ \%[/tex]
A triangular pyramid is sliced by a plane perpendicular to its base. Draw the cross section
Step-by-step explanation:
Kindly find attached the rough sketch of the triangular pyramid and the rough sketch of it cross section.
Basically a triangular pyramid has a triangular base. when a fictitious line is made to pass through perpendicularly to the base, the cross section that will result will still have a triangular orientation but this time a smaller one compared to the original triangular orientation or sides of the pyramid
6 cousins inherited a total of 58 of their great aunt's assets which they divided evenly what fraction of their great aunt's assets to each cousin inherit
Answer:
9 1/9 per cousin
Step-by-step explanation:
if the aunt has 58 items to be distributed to 6 cousins, we would set a fraction of 58/6. performing that is 9 with 4/6 left over.
since there is 6 cousins, there will be 2/3 divided by 6 = 2/18, or 1/9
Answer:
the answer on eduguinty is 5/48 of the inherrit .
Step-by-step explanation:
:)
Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.028; confidence level: 99%; p and q unknownA) 1116B) 2115C) 1939D) 2223
Write the equation of a line that is parallel to y = 1/2 x + 5
that passes through the point (2,6).
Answer:
y = 1/2x + 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
When 2 lines are parallel, they have the same slope.
Step 1: Define variables
Random point (2, 6)
m = 1/2
y = 1/2x + b
Step 2: Find b
6 = 1/2(2) + b
6 = 1 + b
5 = b
Step 3: Rewrite parallel linear equation
y = 1/2x + 5
translate & solve: 616% of what number is 4620
Answer:
250
Step-by-step explanation:
1540*100 divided by 616
ILL GIVE YOU BRAINLIST !!! Evaluate
4x – 2m
Answer:
m = 2x
Step-by-step explanation:
Simplifying
4x + -2m = 0
Reorder the terms:
-2m + 4x = 0
Solving
-2m + 4x = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-4x' to each side of the equation.
-2m + 4x + -4x = 0 + -4x
Combine like terms: 4x + -4x = 0
-2m + 0 = 0 + -4x
-2m = 0 + -4x
Remove the zero:
-2m = -4x
Divide each side by '-2'.
m = 2x
Simplifying
m = 2x
Answer:
Step-by-step explanation:
4x - 2m = 4*8 - 2*3 = 32 - 6 = 26
What is p multiplied by 3
Answer:
p multiplied by 3 is 3p I'm not great at explaining but that's the answer
Answer:
3p
Step-by-step explanation:
Write with a single exponent 1/10*1/10*1/10
Please help
Answer:
[tex] {10}^{3} [/tex]
If it is an addition problem with different signs what do you do
Answer:
To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.
plz give brainlist
hope this helped
For the function f(x)=-1/3x-2, find the value of x for which f(x)=x.
Step-by-step explanation:
f(x)=-1/3x-2=x
3x²-2x-1=o
(3x-1)(x+1)=o
x=1/3(or)x=-1
What is the volume of the figure?
Sonia wants to sew ribbon along each side of a square pillow if the pillow has an area of 144 in² how much ribbon must she by to have the exact amount that she needs
Answer:
12 in
Step-by-step explanation:
she has square pillow, so 12*12=144 sq in
If you parents made $4.00 an hour in 1980 and you make $12.00 an hour as a fryer technologist at Zippy burger today ,then you make three times as much as they did . yes ?NO?explain
Give EG = 5x+7 EF =5x and FG=2x-7
Answer:
x = 7
42, 35, 7
Step-by-step explanation:
EG = 5x+7 EF = 5x FG = 2x-7Point F is on line segment of EG, therefore EG = EF + FG
5x + 7 = 5x + 2x - 72x = 14x = 7Then
EG = 5*7 + 7 = 42EF = 5*7 = 35FG = 2*7 - 7 = 7Multiply the polynomial expressions below.
(7x + 5)(2x^3 - 4x^2 + 9x - 3)
Answer:
14x^8-18x^3+43x^2+24x-15
what is 3.825 as a fraction with a guide?
Answer:
3 33/40 or 153/40
Step-by-step explanation:
For first answer change the decimal .825 into fraction by making it over 1000. Then Simplify. For the second answer, take the first answer, multiply 3 with 40 and add 33. In the end both answers are equivanlent.
SoIve: -20 = -4x - 6x
x = 3.5
x = 2
x = 10
x = 4
Answer:
2
Step-by-step explanation:
-4x - 6x = -10x
Divide both sides by -10
write the number 3/100 as a decimal.
Answer:
Step-by-step explanation
0.03.
I need help on graphic pls. Thank you
Answer:
k = 7/3
Step-by-step explanation:
Let's first find the equation of line AC. Since point A has an x-coordinate of 0, we know that point A is the y-intercept so when writing the equation of AC in slope-intercept form, we know that b = -2 in y = mx + b (Note that m = slope and b = y-intercept). To find m, we can use points A and C, therefore, m = (0 - (-2)) / (-2 - 0) = 2 / -2 = -1. Now, we know that the equation of line AC is y = -x - 2. To solve for k, we know that point B belongs to AC and that x = -k, y = 5 - 2k in point B, therefore, after plugging those values into y = -x - 2, we get:
5 - 2k = -(-k) - 2
5 - 2k = k - 2
5 - 3k = -2
-3k = -7
k = 7/3
An angle measuring 32 degrees has a complement that measures (2x - 16)degrees. What is the value of x? (and the steps)
Answer:
37°
Step-by-step explanation:
32+2x-16=90
2x+16=90
2x=90-16
2x=74
x=37
Write an equation in slope intercept form that is parallel to y = 3x + 4 and goes through the point (-1,5)
Answer:
Step-by-step explanation:
y - 5 = 3(x + 1)
y - 5 = 3x + 3
y = 3x + 8
answer is C
Simplify (23)^–2 genuinely confused
Answer:
1/529
Step-by-step explanation:
[tex]23^{-2}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\23^{-2}=\frac{1}{23^2}\\\\23^2=529\\\\=\frac{1}{529}[/tex]
Answer:
1/529
Step-by-step explanation:
just done it on edge