Answer:
[tex]\displaystyle m = \frac{22}{9}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (1, 3)
Point (10, 25)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{25 - 3}{10 - 1}[/tex]Subtract: [tex]\displaystyle m = \frac{22}{9}[/tex]Answer:
c
Step-by-step explanation:
Draw a line through the origin that has a slope of 1/2
Step-by-step explanation:
Slope = rise/run = 1/2
You need to plot these two points = (1,0) and (3,1) and make a line paas through
Answer by Gauthmath
One-third of a number when subtracted from double of itself is equal to 10. Find the number.
2x−x3=10
X=?
Answer:
number is 6
Step-by-step explanation:
let the number be x , then double the number is 2x and
2x - [tex]\frac{1}{3}[/tex] x = 10 ( multiply through by 3 to clear the fraction )
6x - x = 30
5x = 30 ( divide both sides by 5 )
x = 6
That is the number is 6
In right triangle ABC, the measure of A is 25° and AB = 1. What is the length of AC?
(1) 0.9063
(2) 0.4226
(3) 0.2500
(4) 0.2778
PQRS is a parallelogram. Answer the questions below.
Answer:
4. SR= 17 (opposite angle of parallogram are equal)
If (x + 1) is a factor of 2x - kx²-8x + 5, find the value of k.
[ Using Factor Theorem ]
Answer:
k = 11
Step-by-step explanation:
What the factor theorem is telling us is that if x + 1 is a factor of 2x - kx²-8x + 5 then when x = - 1 is put into the equation, the result will be 0. That's because x +1 = 0 when x = - 1
f(-1) = 2(-1) - k(-1)^2 - 8(-1) + 5
f(-1) = -2 - k(1) + 8 + 5 = 0
-k*(1) + 11 = 0
-k = -11
k = 11
PLEASE HELP!!! I dont understand
Answer:
x^4+x^2+5
Step-by-step explanation:
f(x) = x^2 -3x+7
g(x) = x^2+2
f(g(x) = Place g(x) in for x in the function f(x)
= (x^2+2)^2 -3(x^2+2) +7
FOIL and Distribute
= x^4 +2x^2+2x^2 +4 - 3x^2 -6 +7
Combine like terms
= x^4+x^2+5
find the missing length for the following trapezoid
Answer:
15 is the answer I think.
3.3 Is it possible that a vehicle could travel so fast that the trip could be done in no time at all? Give a reason for your answer.
Answer:
No.
Step-by-step explanation:
No matter how fast something is going it still takes a moment in time, even if it's only 1/10000 of a second.
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed
Answer:
cosC = [tex]\frac{7}{25}[/tex]
Step-by-step explanation:
cosC = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{7}{25}[/tex]
Independent Practice
Write an explicit rule for a geometric sequence that has 1 as its first term and a common ratio of –4. What is the seventh term of this sequence?
A.
an=−4 · (1)n−1; −4a subscript n baseline equals negative 4 times left parenthesis 1 right parenthesis superscript n minus 1 baseline semi-colon negative 4
B.
an=−4 · (7)n−1; −470,596a subscript n baseline equals negative 4 times left parenthesis 7 right parenthesis superscript n minus 1 baseline semi-colon negative 470,596
C.
an=1 · (−4)n−1; 4,096a subscript n baseline equals 1 times left parenthesis negative 4 right parenthesis superscript n minus 1 baseline semi-colon 4,096
D.
an=1 · (−4)n; −16,384a subscript n baseline equals 1 times left parenthesis negative 4 right parenthesis superscript n baseline semi-colon negative 16,384
Answer: The Answer Is Letter B Or Letter C..... 12*4*2= 96
B.
an=−4 · (7)n−1; −470,596a subscript n baseline equals negative 4 times left parenthesis 7 right parenthesis superscript n minus 1 baseline semi-colon negative 470,596
C.
an=1 · (−4)n−1; 4,096a subscript n baseline equals 1 times left parenthesis negative 4 right parenthesis superscript n minus 1 baseline semi-colon 4,096
Step-by-step explanation: First Term: 2, Second Term: 6, Third Term: 18, Forth Term: 54, Fifth Term: 162
Geometric sequences and series
A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.
Example
Write the first five terms of a geometric sequence in which a1=2 and r=3.
We use the first given formula:
Just as with arithmetic series it is possible to find the sum of a geometric series. It is found by using one of the following formulas:
Video lesson
Use the formula for the sum of a geometric series to determine the sum when a1=4 and r=2 and we have 12 terms.
solve the triangle. Round decimal places to the nearest place
what is the GCF of 18 and 36
Answer: 18
Step-by-step explanation: Factor of 18 are: 1, 2, 3, 6, 9, 18
Factor of 36 are : 1, 2, 3, 4, 6, 9, 12, 18, 36
Hope that helps
Answer:
18
Step-by-step explanation:
listing the factors
factors of 18 are 1, 2, 3, 6, 9, 18
factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The common factors are 1, 2, 3, 6, 9, 18
with GCF being 18
Is 5 a prime number
Answer:
yes
Step-by-step explanation:
A prime number is only divisible by 1 and itself in terms of natural numbers
5 is only divisible by 1 and 5 so it is a prime number
Please hurry I will mark you brainliest
It's a hot summer
day and the icecream truck is on it's way. The driver gives you two options:
1) You can have a cone that is doubled in radius but the same height as a regular cone.
OR
2) You can have a cone that is doubled in height but the same radius as a regular cone.
Which would you choose and why?
You can explain it or attach a picture of your work.
Answer:
Volume of a cone - πr^2(h/3)
Step-by-step explanation:
If radius doubled - π2r^2(h/3)
If height doubled - πr^2(2h/2)
Let's assume r and h to be 1.
Radius doubled = 2π(1/3) = 2.09439510239 (volume)
Height doubled = π(2/3) = 2.09439510239 (volume)
If radius and height equal for 1, does it mean it is equal for other values too?
Let's use 2 instead of 1 and find out:
8π(2/3) - Option 1
8π(2/3) - Option 2
Both are the same...
Answer:
2x on the radius...
Vol = [tex]\frac{1}{3} \pi r^{2} h[/tex]
[tex]\frac{1}{3} \pi[/tex] is constant (in this story)
[tex](2r)^{2}[/tex] vs. 2h ... the [tex](2r)^{2}[/tex] will most likely be bigger...
I say most likely because if the cone radius was super small and
the height was super long (like a straw, or a piece of spaghetti)
then the 2x on the height actually can be better
Step-by-step explanation:
Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
a = 7.3 in.
b = 13.2 in.
c = 15.8 in.
A = 27.3°, B = 56.1°, C = 96.6°
No triangle satisfies the given conditions.
A = 29.3°, B = 54.1°, C = 96.6°
A = 25.3°, B = 56.1°, C = 98.6°
Answer:
A) A = 27.3°, B = 56.1°, C = 96.6°Step-by-step explanation:
Use the Law of Cosines:
A = arccos [(b² + c² - a²)/(2bc)] = arccos [(13.2² + 15.8² - 7.3²)/(2*13.2*15.8)] = 27.3° B = arccos [(a² + c² - b²)/(2ac)] = arccos [(7.3² + 15.8² - 13.2²)/(2*7.3*15.8)] = 56.1°C = 180° - (A + B) = 180° - (27.3° + 56.1°) = 96.6°Correct choice is A.
Below is a histogram representing the test scores from Mrs. Jackson's 2nd period History class. How many students scored a 90 or above?
Answer:
either 5 or 6
Step-by-step explanation:
I can't have a direct answer because you didn't get all of the histogram in there, but from what I can conclude from just this there's definitely either 5 or 6.
Find an expression which represents the sum of (-10x – 10y) and (-9x – 7y) in
simplest terms
Answer:
-19x - 17y
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(-10x - 10y) + (-9x - 7y)
Step 2: Simplify
Combine like terms (x): -19x - 10y - 7yCombine like terms (y): -19x - 17yWhat is the measure of ABC in the figure below?
9/7 = please answer me
Answer:
[tex] \frac{9}{7} = 1.2857 = 1 \frac{2}{7} [/tex]
Answer:
Step-by-step explanation:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol {\frac{9}{7}=1\frac{2}{7} \ \ or \ \ 1.(28571)}[/tex]
a school has 2500 pupils. when 52 boys and 1/9 of the girls are absent, the number of the boys present is equal to the number of girls. how many does doe he school have
a school has 2500 pupils. when 52 boys and 1/9 of the girls are absent, the number of the boys present is equal to the number of girls. how many pupils does the school have ?
Solution :Let the number of boys be x
Data :
Total pupils = 2500
Absent no. of boys and girls = 52 and 1/9
Now,
First of all we need to get the number of girls then add it with the no. of boys absent and then subtract the whole from 2500 to get the required answer.Remaining no of pupils = 2500 - 52 ➝ 2448
Hence, the no. of girls absent = 1/9 of 2448 ➝ 272
Therefore,
Total no. of pupils absent = 52 + 272 ➝ 324
No. of pupils present = 2500 - 324 ➝ 2176
Henceforth, 2176 pupils are present
Fill in each box with the probability of the event that it represents. The following questions can be answered using your area model.
pleeeeaaseee help!!!!
Answer:
[tex]a. \ \dfrac{1}{36}[/tex]
[tex]b. \ \dfrac{4}{9}[/tex]
[tex]c. \ \dfrac{5}{6}[/tex]
Step-by-step explanation:
The given probabilities are; P(Orange) = 1/3, P(Blue) = 1/6, P(Purple) = 1/2
The probability of rolling any of the six numbers of the six-sided die = 1/6
a. The probability of simultaneously 'rolling a 3' and 'spinning blue', P(3 and Blue) is given as follows;
P(rolling a 3) = 1/6, P(Blue) = 1/6
∴ P(3 and Blue) = (1/6) × (1/6) = 1/36
P(3 and Blue) = 1/36
[tex]P(3 \ and \ Blue) = \dfrac{1}{36}[/tex]
b. The probability of either 'rolling a 1' or 'spinning Orange', P(1 or Orange), is given as follows;
P(rolling a 1) = 1/6, P(Orange) = 1/3
P(1 or Orange) = P(rolling a 1) + P(Orange) - P(1 and Orange)
Where;
P(1 and Orange) = (1/6) × (1/3) = 1/18
∴ P(1 or Orange) = 1/6 + 1/3 - 1/18 = 4/9
P(1 or Orange) = 4/9
[tex]P(1 \ or \ Orange) = \dfrac{4}{9}[/tex]
c. The probability of not spinning a blue, P(not Blue) is given as follows;
P(not Blue) = P(rolling all outcomes of the die) and (The sum of the spin probabilities - P(Blue)
∴ P(not Blue) = 1 × ((1/3 + 1/6 + 1/2) - 1/6) = 1 × (1 - 1/6) = 5/6
P(not Blue) = 5/6
[tex]P(not \ Blue) = \dfrac{5}{6}[/tex]
please answer all the step wise step
factorise
1. a^2 - b^2 - 4a +4
2. x^2 -xy - 3x +2 +2y
3. 4x^2 - 4a^2 - 4a - 1
4. x^2 + 3x + 2 + ax + 2a
5. 7 ( x - 1/x )^2 + 15 ( x - 1/x ) + 2
6. 64 - 144x + 108x^2 - 27x^3
7. ab^2 - b ( a-c ) - c
8. p^2 - a ^2 - 2pr + r^2
Answer:
click the link below for further explanation
Step-by-step explanation:
https://genius.com/Rick-astley-never-gonna-give-you-up-lyrics
Find the slope of
(6,-3)(-2,-3)
Answer:
0
Step-by-step explanation:
We can find the slope by using the slope function
m = (y2-y1)/(x2-x1)
= (-3 - -3)/(-2 - 6)
= (-3+3)/(-2-6)
= 0/-8
= 0
To calculate the slope use the gradient formula.
[tex] \bf \Large \: m \: = \: \frac{y_2 \: - \: y_ 1}{x_2 \: - \: x_ 1} \\ [/tex]
[tex] \bf \large\longrightarrow \: y_2 \: = \: - 3[/tex]
[tex]\bf \large\longrightarrow \: y_1 \: = \: - 3[/tex]
[tex]\bf \large\longrightarrow \: x_1 \: = \: 6[/tex]
[tex]\bf \large\longrightarrow \: x_2 \: = \: - 2[/tex]
Substuting the values[tex]\bf \Large \: m \: = \: \frac{( - 3 )\: - \: (- 3)}{ (- 2) \: - \: 6} \\ [/tex]
[tex]\bf \Large \: m \: = \: \frac{ \: 0 }{ - 8 \: \: } \\ [/tex]
[tex]\bf \Large \: m \: = \: \cancel\frac{ \: 0 }{ - 8 \: \: } \: ^{0} \\ [/tex]
[tex]\bf \Large \: m \: = \: 0[/tex]
Hence , the slope is 0can someone help me out with this 10 points and brainliest
Answer:
the first difference are all 20. (increases by 20 per week)
since the first differences of this relation are constant, it is a linear relation
HURRY!!!!! HELP PLEASE!!!! NO SPAM!!!!!!!!!There are two identical oil tanks. The level of oil in Tank A is 6 ft and is drained at the rate of 0.5 ft/min. Tank B contains 10 ft of oil and is drained at the rate of 1 ft/min. After how many minutes will the level of oil in the two tanks be the same?
Answer:
8 munutes
Step-by-step explanation:
let :
x is the final level for both tanks (in ft) and
t is the time (in minutes)
the equation :
x = 6 - 0.5 t (eq.1)
x = 10 - 1t (eq.2)
eq. 1 = eq. 2
=>
6-0.5t = 10-1t
1t - 0.5t = 10-6
0.5t = 4
t = 4/0.5 = 8
t = 8 minutes
Answer: 8 minutes
Step-by-step explanation:
Write an equation for the level of oil in each tank.
Let t = the number of minutes.
Tank A: y = 6 − 0.5t
Tank B: y = 10 − 1t
Solve the system by using a table of values
When t = 8 minutes, the level in both tanks will be at 2 feet.
what is the smallest number by which 6400 must be multiplied to make a perfect cube?
Answer:
10
Step-by-step explanation:
i looked it up to be sure but if wrong very sorry.
A boat travels 84 miles in 4 hours. How should you calculate the unit rate of miles to hours
Answer:
The boat is going 21 MPH
Step-by-step explanation:
If the boat is going 84 miles in 4 hours, and you want to find the unit rate, divide 84 by 4.
84/4 = 21
Hope this helps!
the range of the function y=secx-2 is all reals except
-1
1
-3
-2
Answer:
For a function y = f(x), the range is the set of all the possible values of y.
In the question you wrote:
y = secx - 2
This can be interpreted as:
y = sec(x - 2)
or
y = sec(x) - 2
So let's see each case (these are kinda the same)
If the function is:
y = sec(x - 2)
Firs remember that:
sec(x) = 1/cos(x)
then we can rewrite:
y = 1/cos(x - 2)
notice that the function cos(x) has the range -1 ≤ y ≤ 1
Then for the two extremes we have:
y = 1/1 = 1
y = 1/-1 = -1
Notice that for:
y = 1/cos(x - 2)
y can never be in the range -1 < x < 1
As the denominator cant be larger, in absolute value, than 1.
Then we can conclude that the range is all reals except the interval:
-1 < y < 1
If instead the function was:
y = sec(x) - 2
y = 1/cos(x) - 2
Then with the same reasoning, the range will be the set of all real values except:
-1 - 2 < y < 1 - 2
-3 < y < -1
please help have a lot of math to do
Answer:
The surface area of the rectangular prism is 814[tex]in^{2}[/tex]
Step-by-step explanation:
In order to find the surface area for a rectangular prism you have to solve using the following formula
A=2(wl+hl+hw)
Hope this helps!
Solve: 3w + 2 = 20 Write a real world problem that this equation represents.
Step-by-step explanation:
3w + 2 = 20
-2 -2
------------------
3w = 18
---- ----
3 3
w = 6
You and your 2 friends have 20 fruits in total and your friend's mother gave you and your friends two more.
Hope this helped.
Equation – 3w + 2 = 20
Solution :3w + 2 = 20Transpose 2 to the right hand side of the given equation
3w = 20 - 2Now, simplify the right hand side
3w = 18Cross multiply
w = 18/3 w = 6Hence, the solution of the equation is 6
