Answer:
C
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), thus
f(x) + g(x)
= 5x - 2 + 2x + 1 ← collect like terms
= 7x - 1 → C
Answer:
it is C.
Step-by-step explanation:
What is the area of the garden in Plan A? (Type the numeric answer only
20 cm
8 cm
8 cm
20 cm
15 cm
Find the area of the arrow above.
(?] square centimeters
Enter
Answer:
610 cm²
Step-by-step explanation:
This is an irregular figure. We can split it up by the triangle and the rectangle on the bottom.
To find the area of the triangle, we must determine the base length. As we can see, the bottom of the arrow has the measure 15 cm, and you can see that the missing section in the base of the triangle is the same measure. Now we find the measure of the base by adding 15 + 8 + 8, which equals 31 cm.
Now we multiply and divide by 2 to find the area of the triangle:
20*31 * 1/2
= 310 cm²
Now, we find the area of the rectangle. We can see that its dimensions are 15 by 20. We can plug these values into the rectangle formula:
A = 15*20
A = 300 cm²
Now we add these values to find the total area:
310 cm² + 300 cm²
= 610 cm²
Find the value of x and the measure of angle Y.
W
00
8
X< 62°
(4x - 2)°
Y
Value: 10
x is equal to
degrees.
Angle Y measures
degrees.
Answer:
x is equal to 16 degrees
Angle measures 62 degrees
Step-by-step explanation:
From Law of Sines:
XW/sin(∠Y) = WY/sin(∠X)
From the picture
XW = 8
WY = 8
∠X = 62°
Replacing into the equation:
8/sin(∠Y) = 8/sin(62°)
∠Y = 62°
Angle Y is also equal to:
∠Y = 4x - 2
62 = 4x - 2
62 + 2 = 4x
64/4 = x
16° = x
question in attachment
Answer:
it is C. An = 2(2)^n
Step-by-step explanation:
Answer:it is C. An = 2(2)^n
Step-by-step explanation:
If the volume of the planter is 2,560 cubic inches,how tall is the planter
Answer:
Height of Planter = H = 20 in²
Step-by-step explanation:
As the planter is not given in the question, the question is incomplete.
First, lets complete the question by attaching the diagram related to this question.
(SEE THE ATTACHMENT)
Lets consider the right angled triangle that is formed at the top of the planter, as shown in the diagram attached.
The right angled triangle has a width of 16 inches and a heights of 16 inches as well.
We know that the Area of a triangle can be calculated by following formula:
[tex]A=\frac{1}{2}\cdot(width)\cdot(height)[/tex]
Substitute the values to find Area:
[tex]Area = \frac{1}{2}\cdot16\cdot16\\Area = 128 in^2[/tex]
We also know that the Volume of a triangular prism is given by:
[tex]Volume=(Area)\cdot(Height)[/tex]
Where
Area = Area of the face = 128 in²
Height = Height of the planter = H
Volume = 2560 in³
Substitute the values and solve for H:
[tex]2560=128\cdot{H}\\H=\frac{2560}{128}\\H=20in^2[/tex]
Please help me answer these e questions pleasesssss
Answer:
4) 8^14
7) h^7
10) 29^8 over 10^8
Step-by-step explanation:
If the numbers have the same base, just add their exponents together. So 10 plus 4 is 14.
Same thing for the second problem, since you have the same base, just add the exponents together. 6 plus 1 is 7
The bases are the same so just add the exponents, 7 plus one is 8.
(-2.9)^8
Convert it into a fraction: -(29/10)^8
Raise the fraction to the power (8) and the numerator and denominator to that power: 29^8/10^8
Hope this helps :)
8¹⁴
Step-by-step explanation:
4.) 8¹⁰×8⁴
=8 to the power (10+4)
=8¹⁴
7.) h⁶xh¹
=h to the power (6+1)
=h^7
10.) (-2.9)^1×(-2.9)^7
=(-2.9)^7+1
=(-2.9)^8
A line is parallel to y = 4x – 2 and
intersects the point (5, -11).
What is the equation of this parallel line?
y = [?]x +
Hint: Use the Point-Slope Form: y - y1 = m(x - X1)
Then write the equation in slope-intercept form.
Answer:
y=4x-31
Step-by-step explanation:
Ignore the hint. Point slope form makes everything so much harder than it has to be.
Parallel lines always have the same slope, in this case 4.
So our equation is now: y = 4x + b
Let's solve for b by plugging in (5, -11), as it's the only point we know is on the parallel line.
-11 = 4(5) + b
-11-20 = b
b = -31
So plug in b: y = 4x - 31
--------------------
Also rate and tell me if I'm correct :)
Answer:
y = -4x + 15.
Step-by-step explanation:
To find the equation of a line perpendicular to y = -2 and passing through the point (4, -1), we can use the point-slope form of a linear equation.
The given line y = -2 has a constant slope of 0 since there is no variable term involving x. A line perpendicular to it will have an undefined slope.
Using the point-slope form, we have:
y - y₁ = m(x - x₁),
where (x₁, y₁) represents the coordinates of the given point (4, -1), and m represents the slope.
Since the slope is undefined, the equation becomes:
y - (-1) = undefined(x - 4).
Simplifying:
y + 1 = undefined(x - 4).
Now, we can write the equation in slope-intercept form by substituting the slope as -4 (the negative reciprocal of 0):
y + 1 = -4(x - 4).
Expanding the right side:
y + 1 = -4x + 16.
To isolate y, we can subtract 1 from both sides:
y = -4x + 16 - 1.
Combining the constants:
y = -4x + 15.
Therefore, the equation of the perpendicular line is:
y = -4x + 15.
What is the rate of change in the table?
Answer:
3
Step-by-step explanation:
Answer:
1
From -2 to 0 there is 2, but from 1 to 3 there is also 2, so 2/2=1
0.2 ✕ -0.5 ✕ ( -0.9- -0.7)
Answer:
0.02
Step-by-step explanation:
[tex]0.2\times -0.5\times (-0.9 - -0.7)= \\\\0.2\times -0.5 \times (-0.2)= \\\\0.02[/tex]
Hope this helps!
0.02
[tex]solution \\ 0.2 \times \: - 0.5 \times ( - 0.9 - ( - 0.7)) \\ = 0.2 \times ( - 0.5) \times ( - 0.9 + 0.7) \\ = 0.2 \times( - 0.5) \times ( - 0.2) \\ = - 0.1 \times ( - 0.2) \\ = 0.02[/tex]
hope this helps..
Good luck on your assignment
Question 4
A book sold 31,300 copies in its first month of release. Suppose this represents 9.9% of the number of copies sold to date. How many copies have been sold to date?
Answer:
313131 total books
Step By Step Explanation: We can use the equation 9.9%x=31000 and x represents the total number of books.
We could also convert this percent to a decimal by moving it two places to the left (0.99).
Nevertheless, we can divide both sides by 9.9% to find that the total number of books is 313131 books.
Can someone help me solve this?
Answer:
x=3,y=-1 or (3,-1) The answer is D
Step-by-step explanation:
A truck is bought at the price of $67,000. The price decreases at the rate of .30 every year (t). Which equation matches this exponential model?
Question 3 options:
A)
f(t) = 67(.70)t
B)
f(t) = 70(67,000)t
C)
f(t) = t(.70)67,000
D)
f(t) = 67,000(.70)t
Answer:
f(t) = $67000(.30)^t (Must use " ^ " to indicate exponentiation)
Step-by-step explanation:
This is an exponential function:
f(t) = $67000(.30)^t (Must use " ^ " to indicate exponentiation)
Select the correct answer.
This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the volume of the
pyramid to the volume of the prism?
Answer:
b
Step-by-step explanation:
Four statistics professors and six chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?
Step-by-step explanation:
Total professors = 10
Probability of chemistry professors = 2/6 = 1/3
-5 5/8 + 3 1/2
A: -3 1/8 B: -2 1/2 C: -2 1/8 D: -7/8
ASAP
Answer:
C
Step-by-step explanation:
You take the fractions and turn them into mixed numbers. You do that by multiplying the whole number with the denominator and adding the numerator for the new numerator and the denominator stays the same. Now, you'd get -45/8 + 7/2. Change the denominator of the second one to 8 so you can add them, do this by multiplying the numerator and denominator by 4. Now you get -45/8 + 28/8. -45 +28 is -17 so your answer is -17/8. If you need it In mixed form, 8 goes into -17 2 times so you get -2 and the remainder 1/8 so -2 1/8.
help again please thank you
Answer:
1) False
2) True
3) False
4) True
5) True
6) False
7) True
8) True
Answer:
The electron configuration of an element describes how electrons are distributed in its atomic orbitals. Electron configurations of atoms follow a standard notation in which all electron-containing atomic subshells (with the number of electrons they hold written in superscript) are placed in a sequence. For example, the electron configuration of sodium is 1s22s22p63s1.
Step-by-step explanation:
Each question on a multiple-choice exam has four choices. One of the choices is the correct answer, worth 5 points, another choice is wrong but still carries partial credit of 1 point, and the other two choices are worth 0 points.
If a student picks answers at random, what is the expected value of his or her score for a problem?
_____points
If the exam has 30 questions, what is his or her expected score?
_____points
Answer:
1.5
45
Step-by-step explanation:
The probability for each answer is 1/4
(5+1+0+0)/4 = 6/4= 1.5Each question has an expected value of 1.5 points.
The expected score of the test is 30*1.5= 45 points
Use the values in the table to verify the relationship
between the functions representing the investments.
Which conclusion can be made?
O The functions are inverses because the domain of Table
A is the same as the range of Table B.
The functions are inverses because the range of Table A
is different from the domain of Table B.
the functions are not inverses because for each
ordered pair (x, y) for one function, there is no
corresponding ordered pair (x, y) for the other function.
O The functions are not inverses because for each
ordered pair (x, y) for one function, there is no
corresponding ordered pair (y, x) for the other function.
Answer:
The functions are not inverses because for each ordered pair (x, y) for one function, there is no corresponding ordered pair (y, x) for the other function.
Step-by-step explanation:
In the figure attached, the tables are shown.
For example, in table A the pair (1, 1051.21) is present, but the pair (1051.21, 1) is not present in Table B. Therefore, the functions are not inverses.
Answer:
The answer is D
Step-by-step explanation:
Find the value of x if A, B, and C are collinear points and B is between A and C. AB=2x,BC=x−2,AC=28
Answer:
x = 10
Step-by-step explanation:
Data
AB=2xBC=x−2AC=28Given that A, B, and C are collinear points and B is between A and C, then the addition of the measure of segments AB and BC must be equal to the measure of segment AC, that is:
AB + BC = AC
Replacing with data:
2x + (x - 2) = 28
3x - 2 = 28
3x = 28 + 2
x = 30/3
x = 10
Part A
Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.
A. c + 64 ≤ 120; c ≤ 56
B. c + 120 ≤ 64; c ≤ –56
C. c + 64 ≥ 120; c ≥ 56
D. c + 120 ≥ 64; c ≥ –56
Part B
Choose the graph of the solution on the number line.
Answer:
Part A: A
Part B: A
Step-by-step explanation:
1)
the inequality should be less than or equal to, since we need to find how many are left
now, the answer B is wrong, since there can't be negative 56, since Xander collected some cans, though he still must collect a few
thus, the answer is A
2)
A again is correct, since it represents:c ≤ 56
B represents c ≥ 56
C represents c ≤ –56
D represents c ≥ -56
Find the distance between two points (2,-3)and (2-,4). what is the answer?
Answer: 1 squealer apart if on a square grid
Step-by-step explanation:
Answer:
The distance is 1
Step-by-step explanation:
Since the x coordinates are the same, we only need to look at the y coordinates
-3 - -4
-3 +4
1
What is the ratio of x to y? (Write it in simplest form)
Answer:
There is no explanation so I guess 1 to 1?
Step-by-step explanation:
segment if a is a perpendicular bisector of segment BD if the measure of angle frd is represented by the expression 7x + 6 find the value of x
Answer:
x = 12
Step-by-step explanation:
If it is a perpendicular bisector, then the intercepting angles are always 90°.
If that is the case then we simply set the expression 7x + 6 equal to 90 and solve for x. We should get 12 as our answer.
ASAP, pls I need help with these questions
Answer:
a) 2/5 x 900 = 360 hectares
b) 3/5th
c) 3/5 x 900 = 540
540 - 360 = 180
Farmer Richards needs to bring another 180 hectares under cultivation.
The M virus has a diameter of 5 x 10^-7meters, while the P virus measures about 2 x 10^-8meters in diameter. A) is the M virus or P virus larger in diameter? B) how many times as larger is the larger virus than the smaller virus?
Answer:
(A) The M virus is larger than the P virus in diameter
(B) Diameter of virus M is 25 times the diameter of virus P
Step-by-step explanation:
Notice that the values given are in the so called "scientific notation", and which involves in this case negative exponents for the multiplier 10.
So we can write these values in decimal form for easier comparison of which one is he largest one:
Diameter of M virus = [tex]5\,*\,10^{-7}\,m = 0.0000005\,\,m[/tex]
Diameter of P virus = [tex]2\,*\,10^{-8}\,m = 0.00000002\,\,m[/tex]
Which clearly shows that virus M is larger than virus P in diameter
The quotient between diameters will give us the answer to how many times larger virus' M diameter is:
[tex]\frac{M}{P} =\frac{0.0000005}{0.00000002} \\\frac{M}{P} =25[/tex]
Homework Help please!
Answer:
7x4
28
Step-by-step explanation:
Answer:
The correct answer is D. 28 miles
Step-by-step explanation:
Because 7 miles in 2 hrs so in 8 hrs it will be 28 miles.
Hope it helps you !!!!
The two cross sections shown are taken parallel to their respective bases. The cross sections have the same area. If the
heights of the two solids are equal, find the volume of the cylinder. Round your answer to the nearest hundredth.
A. 465.10 cm³
B. 480.08 cm³
C. 489.40 cm³
D. 498.04 cm³
Answer:
c
Step-by-step explanation:
The multiplicative inverse of (-4)⁻² is (4)⁻². True False
Answer: false
Step-by-step explanation:
The exponents would have to have a different sign from each other (positive or negative), not the integer.
can you please help me! In a triangle, a segment is drawn joining the midpoint of two sides. What is true about this segment? a. Its length is equal to the 3 rd side. b. Its length is twice the 3 rd side. c. It is parallel to the 3 rd side. d. It is ⊥ to the 3 rd side.
Answer: The right answer for the question that is being asked and shown above is that: "Its length is twice the 3rd side." In a triangle, a segment is drawn joining the midpoint of two sides. The statement that is true about this segment is that Its length is twice the 3rd side
Step-by-step explanation:
Answer: Its length is twice the 3rd side.
In the spinner below, what is the probability of landing
on 6?
A. 1/4
B. 1/8
C. 1/3
D. 1/6
Answer:
1/4
Step-by-step explanation:
There are 4 equal sized sections, and 2 sections that are twice the size of the others ( 2*2=4), for a total of 8 sections
The section with a 6 in it is a double size section so it counts as 2 sections
P(6) =number of sections with a 6/ total sections
=2/8
=1/4
Answer:
1/4
Step-by-step explanation:
A