Answers
Answer:
∠BAC = 105°
Step-by-step explanation:
2(5x) = 9x+21
10x = 9x+21
reduce:
x = 21
∠BAC = 5x = 105°
Related Questions
5x - y = 6
x + 6y = 4
To solve the system by elimination, what integer would you multiply the FIRST equation by?
Answers
Answer:
1.5x-y=6
x-y=5+6
x-y=11
2.x + 6y =4
x+y=6-4
X+y=2
xy=2
SORRY THE WRONG
Step-by-step explanation:
FROM INDONESIAN
For the function f(x)=ax^3+bx^2-5x+9, determine the values of a and b so that f(-1)=12 and f'(-1)=3
Answers
If
f(x) = ax ³ + bx ² - 5x + 9
then
f '(x) = 3ax ² + 2bx - 5
Given that f (-1) = 12 and f '(-1) = 3, we get the system of equations
-a + b + 5 + 9 = 12
3a - 2b - 5 = 3
or
-a + b = -2
3a - 2b = 8
Multiply through the first equation by 2 and add it to the second one to eliminate b and solve for a :
2(-a + b) + (3a - 2b) = 2(-2) + 8
-2a + 2b + 3a - 2b = -4 + 8
a = 4
Substitute this into the first equation above to solve for b :
-4 + b = -2
b = 2
Answer is a = 4, b = 2.
First derivative of an equation:
The derivative formula is one of the basic concepts used in calculus and the process of finding a derivative is known as differentiation. The derivative formula is defined for a variable 'x' having an exponent 'n'. The exponent 'n' can be an integer or a rational fraction. Hence, the formula to calculate the derivative is:
[tex]\frac{d}{dx} x^{n} = n x^{n-1}[/tex]
(Given)
[tex]f(x) = ax^{3} + bx^{2} - 5x + 9[/tex]
And f'(x) we get , [tex]f'(x) = 3ax^{2} + 2bx-5[/tex]
Now, also given f(-1) = 12
=> [tex]f(-1) =a (-1)^{3} + b(-1)^{2} - 5 (-1) + 9[/tex]
=> 12 = -a + b +5 + 9
=> a = b + 2 ------( 1 )
Also given, f'(-1) = 3.
i.e., [tex]3 = 3a(-1)^{2} + 2b(-1) - 5[/tex]
3 = 3a -2b -5
From eq - (1) we can replace a.
3 = 3(b + 2) - 2b - 5
3 = 3b + 6 - 2b - 5
b = 2.
a = 4.
Learn more about derivative of equation here:
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8 X 1 3/5 how to multiply a whole number by mixed number
Answers
Answer:
12 4/5
Step-by-step explanation:
Containers A (6cm, 5cm, 4cm), B (5cm, 4cm, 3 cm) and C (3cm, 3cm, 2 cm) are three rectangular containers. At first, container A is filled with water to its brim while containers B and C are empty. Next, some water from container A is poured into containers B and C so that container B is completely full while container C is half full. Find the height of the water left in container A..
Answers
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DA is tangent to the circle at A and DC is tangent to the circle at C. Find m
Answers
Answer:
D
Step-by-step explanation:
m angle b equals 77 now we have to find the arc of andle b.
so use the equation arc AC = 2(77)
arcAC = 154
360 - 154
=206
206/2
= 103
What is the volume of the solid?
Cheese yd
21.8 yd
19.2 yd
40.8 yd
please help!
Answers
Answer:
Step-by-step explanation:
Area of right triangular base = ½ × 3.2 × 6 = 9.6 square yards
Volume = 96 × 2 = 19.2 cubic yards
Find two numbers the quotient is between. Then estimate the quotient.
250 ÷ 4
Multiply 4 by multiples of 10 to estimate the quotient. The quotient is between
and
.
The estimate for the quotient is
.
Answers
Answer: 250
Step-by-step explanation: 250 divided by 4 multiply 4 equals 250
The number of portable widgets produced weekly by Widget, Inc., is related to the weekly profit in the way:
P(x) = -2x^2 + 88x - 384
where P(x) is the weekly profit in hundreds of dollars and x is the number of widgets must be produced weekly. How many widgets must be produced weekly for the maximum weekly profit? What is the maximum weekly profit? Find the analytically.
Answers
9514 1404 393
Answer:
22 widgets$58,400Step-by-step explanation:
The turning point (maximum or minimum) of quadratic function ...
f(x) = ax² +bx +c
is at x = -b/(2a).
Here, this means the maximum profit will be had when the number of widgets produced weekly is ...
x = -88/(2(-2)) = 22
The profit at that level of production is ...
P(22) = (-2·22 +88)(22) -384 = 44(22) -384 = 968 -384 = 584 . . . hundreds
22 widgets must be produced weekly for the maximum weekly profit of $58,400.
31% of U.S. adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) exactly two, (b) more than two, and (c) between two and five, inclusive.
Answers
Answer:
a) 0.222
b) 0.643
c) 0.811
Step-by-step explanation:
In a study relating college grade point average to time spent in various activities, you distribute a survey to several students. The students are asked how many hours they spend each week in four activities: studying, sleeping, working, and leisure. Any activity is put into one of the four categories, so that for each student the sum of hours in the four activities must be 168. a) Consider the model GPA = β0 + β1study + β2work + β3leisure + β4sleep + u. Interpret the coefficient β1. Does it make sense to hold work, leisure, and sleep fixed, while changing study? b) Explain why this model violates Assumption MLR.3. c) How could you reformulate the model so that its parameters have a useful interpretation and it satisfies Assumption MLR.3?
Answers
Step-by-step explanation:
Given
GPA = NO + B1Study + B2work + B3leisure + B4sleep + u
1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168
2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.
3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.
GPA = b0 + B1Study + b2sleep + b3work + u
From her home, Giera traveled
5.8 miles north to the grocery
store, then 2.1 miles west to
the library. What is the distance
from her home to the library?
Answers
Answer:
6.2 milesStep-by-step explanation:
The imaginary lines connecting the home, the grocery store and the library form a right triangle with the distance from the home to the library being a hypotenuse.
Use Pythagorean to find the distance:
√5.8² + 2.1² = √38.05 = 6.16 ≈ 6.2 milesNEEED HELPPPP FASTTTT!!!!!
Answers
Answer:
It is linear
Step-by-step explanation:
every time x goes up by 4
y goes up by 16
i hope you have a good day:)
Pls help me with the question
solve the systems by elimination
-x+5y=17
x + 2y =11
they are both different equations but they are the same question
Answers
y=4
-x+5y=17 multiply by -1
x-5y= -17
x+2y=11.
x=11-2y
11-2y-5y= -17
-7y= -17-11
-7y= -28 multiply by -1
7y=28
y=28/7
y=4
x=11-2y
x=11-2•4
x=11-8
x=3
Fatima opened a savings account with $7,500. She decided to deposit that same amount semiannually. This account earns 3.975% interest compounded semiannually. Exercises 5-7 are about Fatima's account. 5. What is the future value of the account after 10 years?
Answers
Answer:
A = $11117.25
Step-by-step explanation:
Given the following data;
Principal = $7,500
Interest rate = 3.975% = 3.975/100 = 0.03975
Number of times, n = 2
Time, t = 10 years
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 7500(1 + \frac{0.03975}{2})^{2*10}[/tex]
[tex] A = 7500(1 + 0.019875)^{20}[/tex]
[tex] A = 7500(1.019875)^{20}[/tex]
[tex] A = 7500(1.4823)[/tex]
A = $11117.25
y=5x-22-x+8 y=-20
find x and y show work.
Answers
See attached photo. Good luck.
The area of a rectangular folder is 63 square inches. The folder is 7 inches wide. How long is
it?
*........* inches
Answers
Therefor you can divide 63 by 7 to get 9
Answer:
9 inches long
Step-by-step explanation: So, this is an area problem. We know that this is a rectangle. This means we use the equasion lw or length times width. We are missing the length so we can divide the area by the width. This is common in problems where you must find a missing number.
Help with this lesson. thank you for those who take the time to help me out.
Answers
Answer:
58 mi^2.
Step-by-step explanation:
We can split this up into 2 rectangles and 1 triangle.
Height of the triangle = 4 + 2 + (12-11)
= 7.
Total area
= 2*12 + 2*10 + 1/2 * 4 * height of the triangle
= 24 + 20 + 1/2 * 4 * 7
= 44 + 14
= 58 mi^2.
Use mental math to simplify.
(4.55 + 27) + 5.45
Answers
Answer:
31.55+5.45
Step-by-step explanation:
4.55+27 would go to 31.55
31.55+5.45
Answer: 37
Step-by-step explanation:
4.55 + 27 = 31.55
31.55 + 5.45 = 37
what is the tenth term in the sequence?
Answers
Mark as brainleast plzzz
convert 9,78 h to hours, minutes and seconds
Answers
A trucker wanted to track how long it took to reach omaha . when she started out her dock read 8:00AM . After reaching omaha the clock read 2: 00 PM . How many hours did it take this trucker to reach omaha
Answers
Segment
A
B
‾
AB
has endpoints at
A
(
−
4
,
5
)
A(−4,5) and
B
(
12
,
13
)
.
B(12,13).
Determine the coordinates of point
C
C that lies on
A
B
‾
AB
such that
A
C
:
C
B
=
3
:
1
AC:CB=3:1
Answers
Answer:
12.5
Step-by-step explanation:
There are 15 seats on a bus . 6 persons
took the bus. In how many different ways can
these 6 persons sit ?
Answers
simply, they can set in many different ways
sales associate at an electronic store earn different commission percentages based on the items they sell the table shows the total sales and commission earnings for the four sales associates at the electronics store last month. Create a model that can be used to estimate the commission earnings, C, and of a sales associate who has, d, dollars of the total sales.
Answers
Answer:
Union President Abraham Lincoln set the Union's first naval goal when he declared a blockade of the Southern coasts. His plan was to cut off Southern trade with the outside world and prevent sale of the Confederacy's major crop, cotton.Union President Abraham Lincoln set the Union's first naval goal when he declared a blockade of the Southern coasts. His plan was to cut off Southern trade with the outside world and prevent sale of the Confederacy's major crop, cotton.Union President Abraham Lincoln set the Union's first naval goal when he declared a blockade of the Southern coasts. His plan was to cut off Southern trade with the outside world and prevent sale of the Confederacy's major crop, cotton.Union President Abraham Lincoln set the Union's first naval goal when he declared a blockade of the Southern coasts. His plan was to cut off Southern trade with the outside world and prevent sale of the Confederacy's major crop, cotton.
Step-by-step explanation:
help pls all the questions i dont get it :(
Answers
Answer:
A. The graph is not proportional, although it has a consistent slope, it does now go through the point of origin or (0,0). The equation of a proportional line is y=kx, so the y-intercept must be at (0,0).
B. Slope is found by [tex]\frac{rise}{run}[/tex], from 1 point to the next, the y-value (rise) increases by 2 and the x-value (run) increases by 1, [tex]\frac{4}{1} = 4[/tex] giving us a slope of 4.
C. The y-intercept is the lines point of intersection with the y-axis. In the graph, this point is (0,10).
D. y = mx + b is the slope-intercept form where m is the slope and b is the y-intercept, the slope (m) is 4 and the y-intercept (b) is 10. y = 4x + 10
E. The equation is not proportional because the b value is 10 rather than 0.
Answer:
A. The graph is not proportional. I know this because the line doesn't go through the origin (0, 0). B. The slope (m) of the graph is 4. C. The y-intercept is 10. D. The equation in slope-intercept form is y=4x+10. E. The equation is not proportional. I know this because the line began from 10.
Step-by-step explanation:
The graph will be proportional when the line goes through the origin, (0, 0). The equation [tex]m=\frac{y2-x2}{y1-x1}[/tex] is used to solve for the slope (m). Pick any given points from the graph that's on the line to solve for slope (m). (0, 10) and (1, 14) makes it easier to solve for "m".
[tex]m=\frac{14-10}{1-0} =\frac{4}{1} =4[/tex] (4 is the slope)
Substitute x and y with any point given to find the y-intercept:
[tex]14=4(1)+b[/tex]
[tex]14=4+b[/tex]
[tex]-4[/tex] [tex]-4[/tex]
----------------
[tex]10=b[/tex]
*Note that the y-intercept is always (0, any number)
Example: (0, -24)
Once you know what the slope and the y-intercept are, you'll have the equation set as y=4x+10.
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2 find the function F[G(x)]-F(x)
Answers
Answer:
4x+4
Step-by-step explanation:
F[G(x)]
=F(3x+2)
=2(3x+2)-1
=6x+4-1
=6x+3
F[G(x)]-F(x)
=6x+3-(2x-1)
=6x+3-2x+1
=4x+4
The height of a cylinder is 7 inches another cylinder with the same size base has double the volume what is the height of the second cylinder
Answers
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
What is the value of
k
when n = 64 and k = 2?
nk
Answers
Answer:
128
Step-by-step explanation:
64 times 2 = 128
The value of the expression nk at n = 64 and k = 2 will be 128.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ nk
The value of the expression at n = 64 and k = 2 will be given as,
⇒ 64 × 2
⇒ 128
The value of the expression nk at n = 64 and k = 2 will be 128.
More about the Algebra link is given below.
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The table shows several points for function f(x).
A 2-column table with 8 rows. Column 1 is labeled x with entries negative 4, negative 2, 0, 2, 4, 6, 8, 10. Column 2 is labeled f (x) with entries 19, 15, 11, negative 6, negative 7, negative 8, negative 10, negative 14.
Which statement correctly identifies a point on the graph of f–1(x)?
A. The point (4, –7) is on the graph of f(x), so the point (7, –4) will be on the graph of f–1(x).
B. The point (–2, 15) is on the graph of f(x), so the point (2, –15) will be on the graph of f–1(x).
C. The point (–4, 19) is on the graph of f(x), so the point (–4, –19) will be on the graph of f–1(x).
D. The point (10, –14) is on the graph of f(x), so the point (–14, 10) will be on the graph of f–1(x).
Answers
Answer:
The answer is D.
Step-by-step explanation:
Just took the test. Got 100%.
Six years ago a man's age was six times the age of his son. Four years hence, thrice his age will be equal to eight times his son's age. find their percent ages.
Answers
Answer:
Present age =
fathers= 6x+6 = 36
sons = x+6 = 11
Step-by-step explanation:
-6:
father's age = 6x
sons age = x
Present age =
fathers= 6x+6
sons = x+6
+4 yrs:
father's age = 6x+6 +4 = 6x + 10
sons age = x+6 + 4 = x+ 10
3(6x +10) = 8( x + 10 )
18x+30 = 8x+80
18x-8x = 80-30
10x = 50
x= 50/10 = 5
~~~~~~~~~~
Present age =
fathers= 6x+6 = 36
sons = x+6 = 11
I hope im right!!!