Answer:
by straight line property
a+156=180
a= 180-156
a=24°
Answer:
a=24
expanation
360 divided by 2 is 180 and 180 minus 156 equals 24
The equation for line r can be written as y=-1/4x+3. Line s which is parallel to lone r includes the point (-4,3). What is the equation of line s?
Answer:
[tex]y=-\frac{1}{4}x+2[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form:[tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slope1) Determine the slope of line S using line R (m)
[tex]y=-\frac{1}{4} x+3[/tex]
We can identify clearly that the slope of the line is [tex]-\frac{1}{4}[/tex], as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be [tex]-\frac{1}{4}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{1}{4}x+b[/tex]
2) Determine the y-intercept of line S (b)
[tex]y=-\frac{1}{4}x+b[/tex]
Plug in the given point (-4,3) and solve for b
[tex]3=-\frac{1}{4}(-4)+b\\3=1+b[/tex]
Subtract 1 from both sides to isolate b
[tex]3-1=1+b-1\\2=b[/tex]
Therefore, the y-intercept is 2. Plug this back into [tex]y=-\frac{1}{4}x+b[/tex]:
[tex]y=-\frac{1}{4}x+2[/tex]
I hope this helps!
Help me pls I do not know
What is the slope of the graph?
-2/3
[tex]s = \frac{y2 - y1}{x2 - x1} [/tex]
Please help if you really can help with this math question.
If a question asks “which of the following best estimates the area?” My answer was $4800. If it’s asking for estimation is it suppose to be $5000 ???
Answer:
I'm pretty sure it is suppsoed to be 4800.
Step-by-step explanation:
What is the value of the x in the given diagram?
Answer:
send the whole statement
Three less than four times a number
Answer:
4n - 3
Step-by-step explanation:
let n = random number
break the words down
4 times a number is 4n
three less means subtracting 3
so the final expression is 4n - 3
The line represented by y = 3x − 2 and a line perpendicular to it intersect at R(3, 7). What is the equation of the perpendicular line? y = − negative start fraction one over three end fractionx + 4 y = − negative start fraction one over three end fractionx + 8 y = start fraction one over three end fractionx + 6 y = −3x + 7
Answer:
y= -1/3(x) + 8
Step-by-step explanation:
slope of the 1st line = 3
slope of the line perpendicular to the first is its opposite reciprocal, so
slope of the 2nd line = -1/3
now we have a point and the slope of the perpendicular line, so we use the point slope formula to get:
y-7=-1/3(x-3)
y= -1/3(x) + 1 + 7
y= -1/3(x) + 8
a portion of 7200 is invested at 5 1/2 percent interest, and the rest is invested at 5 percent interest. if the yearly income from the money is rs. 387 how much is invested at each rate ?
Answer:
A 5.5% = 5400 B 5% = 1800
Step-by-step explanation:
A + B = 7200
A * 0.055 + B * 0.05 = $387
A = 7200 - B
(7200 - B)*0.055 + B*0.05 = 387
396 - 0.055B + 0.05B = 387
396 - 0.005B = 387
0.005B = 9
B = 1800
A = 7200 - B = 7200 - 1800
A = 5400
there are 12 space suits that fit into one box. how many are needed for 2400 space suits
Answer:
200 boxes
Step-by-step explanation:
We can use ratios to solve
12 suits 2400 suits
------------ = ------------
1 box x boxes
Using cross products
12x = 1*2400
12x = 2400
Divide by 12
12x/12 = 2400/12
x =200
We need 200 boxes
Answer:
200
Step-by-step explanation:
1 box = 12
Box? = 2400.
DIVIDE
What is the average Rate of Change for the function f(x) = x ^ 2 + 7x - 4 over the interval [0, 2]
Answer:
The average rate of change of function f over the interval [0, 2] is 9.
Step-by-step explanation:
To find the average rate of change of a function over an interval, we evaluate the function at the endpoints of the interval and find the slope between them.
We are given the function:
[tex]f(x)=x^2+7x-4[/tex]
And we want to find its average rate of change over the interval [0, 2].
So, evaluate the function at the endpoints:
[tex]f(0)=(0)^2+7(0)-4=-4[/tex]
[tex]f(2)=(2)^2+7(2)-4=14[/tex]
And find the slope between them:
[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{14-(-4)}{2-0}=\frac{18}{2}=9[/tex]
So, the average rate of change of function f over the interval [0, 2] is 9.
Sqrt 15(3+5) = Sqrt3+ sqrt 5
Answer:
False
Step-by-step explanation:
Assuming a and b are 2 different terms,
Sqrt a + Sqrt b is not equal to Sqrt (a * b).
The only way to obtain Sqrt (a * b) is by doing the following:
Sqrt (a * b) = Sqrt (a) * Sqrt (b)
calculate the circumference of a circle with a radius of 7.5. show or explain your reasoning.
what is the slope of a line perpendicular to 3x+2y = 7?
Answer:
2/3
Step-by-step explanation:
First find the slope of the line
3x+2y = 7
Subtract 3x
2y = -3x+7
Divide by 2
y = -3/2x +7/2
This is in slope intercept form y = mx+b where m is the slope
The slope is -3/2
A line perpendicular is the negative reciprocal
-1/(-3/2)
2/3
The slope of the perpendicular line is 2/3
Answer:
Slope of the line perpendicular to the given line = 2/3
Step-by-step explanation:
The product of the slopes of lines perpendicular to each other is - 1
That is,
[tex]slope_{1} \times slope _ 2 = - 1\\[/tex]
Given equation of the line :
3x + 2y = 7
2y = - 3x + 7
[tex]y = -\frac{3}{2}x + \frac{7}{2}[/tex]
[tex]Therefore, \ slope \ of \ the \ given \ line \ , slope _1 = \ -\frac{3}{2}[/tex]
Find slope of the line perpendicular to the given line:
[tex]\frac{-3}{2} \times slope_2 = - 1\\\\slope_2 = - 1 \times \frac{2}{-3} = \frac{2}{3}[/tex]
How many different codes of 6 digits are possible if the first digit must be 3, 4, 5, or 6 and if the code may not end in 0? Hint: think of positions.
Answer:
360000 possible codes
Step-by-step explanation:
The first digit can only be one of four things and the last digit can't be zero.
4*10*10*10*10*9=360000
Determine if the type of sequence of the following terms.
2, 5, 10, 17, 26, 37,
...
O Arithmetic
O Polynomial
O Neither
O Geometric
Question
Answer:
B: polynomial
Step-by-step explanation:
The sequence given is;
2, 5, 10, 17, 26, 37,...
From this sequence, the first difference between consecutive terms is respectively;
3, 5, 7, 9, 11...
We can see that the differences gotten are not constant.
Now, let's find the second difference between the consecutive first differences respectively;
2, 2, 2, 2...
This second difference is constant and thus we can say that the terms form a quadratic sequence of the form;
f(x) = an² + bx + c
Where the quadratic coefficient is two times the second difference.
Thus;
2a = 2
a = 1
And where c is the 0th term.
Thus, this is a quadratic sequence. Since quadratic functions are 2nd degree polynomials, then this is said to be a polynomial sequence.
PLEASE ANSWER ASAP!!! FULL ANSWERS ONLY!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!
Dakota's wife sends him to the store to buy pickles and ice cream. Ice cream cost 5 dollars per pound and pickles costs 4 dollars per pound. Dakota has 100 dollars in his wallet.
Let x be the number of pounds of ice cream and y be the number of pounds of pickles that Dakota purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y. Express your answer with the standard form ax+by on the left side.
The budget inequality is _________________________
Answer: 5x + 4y ≤ 100
Step-by-step explanation:
x = amount of ice cream($5 each)y = amount of pickles($4 each)5x + 4y ≤ 100
It has to be ≤ 100 because the dude only has $100 and can't exceed that.
which of the following is the horizontal asymptote for the graph below?
A. x = 0
B. y = 0
C. y= -7
D. x = -7
The horizontal asymptote for the graph at y = -7.
What is a horizontal asymptote?A horizontal asymptote exists as a horizontal line that exists not in the region of a graph of a function while directing it for x-values. “far” to the right and/or “far” to the left. The graph may cross it but ultimately, for big adequately or small.
By definition, when we say asymptote, this exists a line that the graph of a function comes but never connects. A horizontal asymptote exists the y-value on a graph which a function approaches but never connects. Horizontal asymptotes exist approached by the curve of a function as x proceeds towards infinity.
Therefore, the correct answer is option C. y = -7
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Select the correct answer. Consider these functions:
Find the value of unknown angles.
Х
50
Answer:
[tex]x = 70^o[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To solve for x, we make use of:
[tex]x + 50^o + 60^o = 180^o[/tex] --- angles in a triangle
[tex]x + 110^o = 180^o[/tex]
Collect like terms
[tex]x = 180^o-110^o[/tex]
[tex]x = 70^o[/tex]
Help! Me solve this problem please
Answer: 2 1/4
Step-by-step explanation:
You choose a marble at random from a bag contains 12 red 10 blue 5 green 4 yellow and 29 black marbles. The marble is red.
Step-by-step explanation:
P(red) = 12/(12+10+5+4+29)
= 12/60
= 1/5
= 0.2
= 20%
Which equation can be used to solve for x?
A. sin (x) =
30
18
B. cos (x)
30
24
C. cos (x)
24
30
D.
tan (x)
24
18
NÉED HELP ASAP PLEASE check the picture
Answer:
[tex] \cos(x) = \frac{24}{30} [/tex]
OPTION C
The number of road construction projects that take place at any one time in a certain city follows a Poisson distribution with a mean of 6. Find the probability that less than 3 road construction projects are currently taking place in this city.a) 0.050409b) 0.089235c) 0.301168d) 0.014936
Answer:
The probability that less than 3 road construction projects are currently taking place in this city is 0.06197
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Poisson distribution with a mean of 6.
This means that [tex]\mu = 6[/tex]
Find the probability that less than 3 road construction projects are currently taking place in this city.
This is:
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-6}*6^{0}}{(0)!} = 0.00248[/tex]
[tex]P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487[/tex]
[tex]P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00248 + 0.01487 + 0.04462 = 0.06197[/tex]
The probability that less than 3 road construction projects are currently taking place in this city is 0.06197
What is the domain of the square root function graphed below? 6 4 wo -6. -2 4 4 6. X 12 L6 O x2-4 O x>-4 O X20 Ox>0
The domain of the square root function graphed is,
⇒ x ≥ 0
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The square root function are graphed below in figure.
Now, We know that;
The set of all inputs of the function is called Domain of set.
Hence, By definition of domain of function, we get;
The domain of the square root function graphed is,
⇒ x ≥ 0
Thus, The domain of the square root function graphed is,
⇒ x ≥ 0
Learn more about the function visit:
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Complete question is shown in figure.
how many people travel more than 30 miles to work?
b)?
Answer:
b
Step-by-step explanation:
around 500 people travel more than just 30 miles to work, sum even travel across the states
Can someone please help me here ...??
9514 1404 393
Answer:
(c) 1/3 of 8 cups
Step-by-step explanation:
When the 8 cups of flour are divided evenly into 3 parts, each part is ...
1/3 of 8 cups of flour
Find the perimeter of the figure below, in meters.
2.7 m
2.7 m
*4m
Answer:
31.8 m
Step-by-step explanation: 6 5 17 26
add up all the lengths to find the perimeter
or sum the multiplication of the common lengths
P = 6 × 4.4 m + 2 × 2.7 m
= 26.4 m + 5.4 m
= 31.8 m
PLEASE HELP ASAP !!!!!!!!
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]
We're provided - m [tex] \angle[/tex] FBD = ( 2x + 3 ) ° & m [tex] \angle[/tex] EBC = ( 9x - 11 ) ° and We're asked to find m [tex] \angle[/tex] EBC .Do you know what vertically opposite angles are ? - When two lines intersect , the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles [ VOA ] are always equal to each other.
[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
Set up an equation and solve for x :[tex] \large{ \tt{❈ \: (2x + 3) \degree = (9x - 11) \degree} \: (BEING\: VERTICALLY \: OPPOSITE \: ANGLES)}[/tex]
[tex] \large{ \tt{⟶2x \degree + 3 \degree = 9x \degree - \: 11 \degree}}[/tex]
[tex] \large{ \tt{⟶3 \degree + 11 \degree = 9x \degree - 2x \degree}}[/tex]
[tex] \large{ \tt{⟶14 \degree = 7x \degree}}[/tex]
[tex] \large{ \tt{⟶ \: 7x \degree = 14 \degree}}[/tex]
[tex] \large{ \tt{⟶x = \frac{14 \degree}{7 \degree} }}[/tex]
[tex] \boxed{\large{ \tt{⟶x = 2 \degree}}}[/tex]
The value of x is 2°.[tex] \large{ \tt{☄ \: REPLACING \: VALUE}} : [/tex]
[tex] \large{ \tt{↝ \: m \: \angle \: EBC = (9x - 11) \degree = (9 \times 2 - 11) \degree = \boxed{ \boxed{ \tt{7 \degree}}}}}[/tex]
[tex] \boxed{ \boxed{ \large{ \tt{OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bold{} \tt{7 \degree}}}} }}}[/tex][tex] \tt{✺ \: NOTHING \: CAN \: GIVE \: YOU \: THE \: POWER \: MORE \: THAN \: EDUCATION \: DOES!} \: ♪[/tex]
۵ Hope I helped! ツ
☼Have a wonderful day / evening !☃
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Add.
2
1
3x² - 4x-4
3x² +8x+4
+.
Simplify your answer as much as possible.
NO LINKS please and thank you
Answer:
6x²+4x
Step-by-step explanation:
The given expressions are 3x²- 4x-4 and 3x²+8x+4.
We need to add these two expressions.
3x²- 4x-4 + 3x²+8x+4 = 3x² + 3x² -4x+8x-4+4
= 6x²+4x
On adding the given expressions, we get the value as 6x²+4x. Hence, the sum of the given expressions is equal to 6x²+4x
Plzzzzz hellp!!! I’ll give you best answer! This is urgent!
13) h(x) = 4x – 3
g(x)= x2 + x
Find (nºg)(x)
Answer:
A
Step-by-step explanation:
the way you multiply it makes all the numbers negative so it has to be A
Hope this helps! Have a wonderful day :)
