Answer:
2nd option
Step-by-step explanation:
To find g(f(x)) , substitute x = f(x) into g(x)
g(x + 3) = [tex]\sqrt{x+3}[/tex] + 7
Answer:
To find g(f(x)) , substitute x = f(x) into g(x)
g(x + 3) = \sqrt{x+3}
x+3
A right cylinder has a radius of 5 and a height of 9. What is its surface area?
Answer:
B. 140π units²
Step-by-step explanation:
Surface area of a cylinder:
2πrh + 2πr²
2π(5)(9) + 2π(5²)
90π + 50π
140π
Answer:
The correct answer is 140 pi units ^2.
Step-by-step explanation:
Use the coordinates of the labeled point to find the point-slope equation of
the line.
(2, -1)
Answer: (C) [tex]y+1=-2(x-2)[/tex]
Step-by-step explanation:
Slope: y = mx +b
By looking at the graph we can see that the slope has a rise of 2 and a run of -1 (aka. -2x) We can also tell that this has a y-intercept of 3
So our slope is: y = -2x + 3
Now you just have to find the answer that matches.
AABC is a right triangle in which zB is a right angle, AB = 1, AC = 2. and BC = V3.
COS Cx sin A =
The value of COS Cx sin A by the given data is V3/4.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).
We are given that;
AB = 1, AC = 2 and BC = V3
Now,
To find the value of cos C x sin A, we need to use the trigonometric ratios of the right triangle.
We know that cos C = adjacent/hypotenuse = AB/AC = 1/2 and sin A = opposite/hypotenuse = BC/AC = V3/2.
cos C x sin A = (1/2) x (V3/2) = V3/4.
Therefore, by the trigonometric ratio the answer will be V3/4.
Learn more about trigonometric ratios;
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For two consecutive numbers, five times the number that is less is 3 more than 4 times the greater number, What are the numbers
Answer:
smaller number - 7
greater number - 8
Step-by-step explanation:
let a = smaller number
a + 1 = greater number
the following equation can be derived from the question
(5 x a) = 3 + 4(a + 1)
5a = 3 + 4a + 4
5a = 7 + 4a
5a - 4a = 7
a = 7 = smaller number
a + 1 = 7 + 1 = 8 = greater number
how many metres are there in 5½ kilometres
Answer:
5500m..................
Find the sum of first five multiple of 5
Answer:
75
Step-by-step explanation:
The first five multiples of 5 are 5, 10, 15, 20, and 25. The sum of the first five multiples of 5 is 75.
What are the solutions to the quadratic equation below?
Which polynomial represents the sum below?
7x9.5x*-**8
5x 0.9x**
A. 5x10.7x8 + 5x5.9x+16
B. 5x10 + 7x8 + 5x5 + 8x+ 16
C. 12x18+1474+8x+ 16
D. 12/16 + 4X4+ 7x+ 16
357 students went on a field trip. Eight
buses were filled and 5 students traveled
in cars. How many students were in each
bus?
Answer:
There were 44 students in each bus.
Step-by-step explanation:
357 - 5 = 352
352/8 = 44
Answer:
Step-by-step explanation:
Total students = 357
Total buses filled = 8
No of students traveled in car = 5
Remaining students = 357 - 5 = 352
Students in each bus = 352 ÷ 8 = 44 students
Which expression is equivalent to
36÷3+3
a 3x2^+3
b 2^2÷3x3
c 3x2^2÷3
d 2^2+3x3
find the missing length indicated
Answer:
119?
Step-by-step explanation:
The value of a jewel in 2015 was $17500. The jewel was purchased in 2008, and its value appreciated 2.5%
each year. What was the initial value of the jewel when it was first bought? Round to two decimal places
Answer:
$14722.14
Step-by-step explanation:
We are given that
In 2015
The value of jewel=$17500
Rate of appreciation, r=2.5%
We have to find the initial value of the jewel when it was first bought.
Time, n=7 years
Final value=[tex]Initial\;value (r/100+1)^n[/tex]
Using the formula
[tex]17500=Initial\;value(2.5/100+1)^7[/tex]
[tex]17500=Initial\;value(1.025)^7[/tex]
[tex]Initial\;value=\frac{17500}{(1.025)^7}[/tex]
Initial value=$14722.14
Hence, the the initial value of the jewel when it was first bought=$14722.14
Evaluate w+(-x) - 2/3 where w = -5/9 and x = 4/3
Answer:
-23/9 or -2 5/9
Step-by-step explanation:
w+(-x) - 2/3
Let w = -5/9 and x = 4/3
-5/9+(- 4/3) - 2/3
Get a common denominator of 9
-5/9 - 4/3 *3/3 - 2/3 *3/3
-5/9 - 12/9 - 6/9
-23/9
-2 5/9
Answer:
-2 5/9
Step-by-step explanation:
I need help asap!!!!!!!!!
How many solutions can be found for the equation 3y + 5 − 2y = 11?
A. Zero
B. One
C. Two
D. Infinitely many
Answer:
B one
Step-by-step explanation:
3y + 5 - 2y = 11
3y -2y + 5 = 11
Combine like terms
y + 5 = 11
Subtract 5 from both sides
y = 11 - 5
y = 6
So, Only one solution
Answer:
there is only 1 solution.
Step-by-step explanation:
We can solve the equation to find it's number of solutions, but we already know it only has 1 solution because it is a linear equation (y is raised to the first power).
3y + 5 − 2y = 11
y + 5 = 11
y = 6
This confirms that there is only 1 solution.-------
Find the value of the indicated angle. Justify your answer.
Answer:
x=15
Step-by-step explanation:
The first triangle
90+2x+4x=180
90+6x=180
6x=90
x=15
The table shows values for functions f(x) and g(x)
X
f(a) = 2-2
g(x) = -22
-3
18
6
-2
4.
4
-1
2
2
0
0
1
2
2.
44
3
6
18
What is the solution to f(x) = g(x) ?
Select each correct answer.
Answer: When f(x)=g(x) , x equal to -2 or -1
Step-by-step explanation:
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Combine these radicals. -√5-3√5
Answer:
-4√5
Step-by-step explanation:
-√5-3√5
-√5(1 + 3)
-4√5
18 Ib. Then her dog loses another 1 lb. Finally, it
Cece dog
gains lb. What is the total change in her dog's weight? how your work. Pleasss help
Answer:
17 lb I guess 8 don't think the question is full
Step-by-step explanation:
the question is half
Which table of ordered pairs represents a proportional relationship?
-3
y
3
2
1
-5
1
O
داده |
-5
oh w
х
-2
-4
-6
-5
-7
-9
立
-2
-3
y у
0
-1
Answer:
second x -1,-3,-5 y 1 3 5 for proportional relation
Can you answer this math homework? Please!
Step-by-step explanation:
[tex]x + 3y = 7 \\ 2x + 4y = 8 \\ x = 7 - 3y \\ 2(7 - 3y) + 4y = 8 \\ 14 - 6y + 4y = 8 \\ 14 - 2y = 8 \\ - 2y = - 6 \\ y = 3 \\ x = 7 - 3(3) \\ x = 7 - 9 \\ x = - 2[/tex]
Answer:
2x+3y=7x4
x+4y=8x3
8x+12y=27
3x+12y=24
8x-3x =5x
+12y-+12y=0
27-24=3
5x/5 3/5x
answer = x = 3/5
y=1.85
what is the answer to this problem
9514 1404 393
Answer:
5.7·10^-3
Step-by-step explanation:
The expanded scale shows point P lies 7/10 of the way between 5 and 6 times 10^-3. Its value is 5.7·10^-3.
Find the missing length indicated
Answer:
x= 135
Step-by-step explanation:
Can y’all help me with this answer ASAP
Answer:
sqrt(24)
Step-by-step explanation:
The number is slightly less than 5
We know that 5^2 =25
sqrt(25) = 5
so the number has to be less that sqrt(25)
The only number less than sqrt(25) is sqrt(24) and sqrt(20)
sqrt(20) is too far away to be slightly less than 5 so it must be sqrt(24)
Find the next three terms in the geometric sequence -3, 9, -27, 81, ...
Answer:
...-243, 729, -2187
Step-by-step explanation:
-3, 9, -27, 81, -243, 729, -2187
Everytime ×(-3)
-3×(-3)=9
9×(-3)=-27
-27×(-3)=81
Etc.
What is the value of −8−√288 / 2∙(−2)?
Answer:
[tex] \frac{ - 8 - \sqrt{288} }{2 \times ( - 2)} = \frac{ - 8 -16.97 }{ - 4} = \frac{ - 24.97}{ - 4} = 6.2425[/tex]
howe do I solve it 5=n/5+8
Answer:
n=-15
Step-by-step explanation:
5=n/5+8
subtract 8 on both sides
-3=n/5
multiply 5 on both sides
-15=n
Would kindly appreciate the help please !
Answer:
cannot be determined
Step-by-step explanation:
We do not know if any of the angles are equal and are only given two sides.
We cannot determine if the two triangles are similar
Fine the angle of the triangle using sides
Answer:
35.54
Step-by-step explanation:
use inverse tan
soh cah toa
we have both opposite and adjacent so we are using tangent
[tex]tan^{-1} (\frac{5}{7} )[/tex]
put that into a calculator and it would give you approximately 35.54 degrees
Solve for 4
NEED HELP ASAP
Answer:
32 = <4
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
15+17 = <4
32 = <4