The function (1) describes the height, in feet, of an object at time, in seconds, when it is launched upward from the ground at an initial speed of 112 feet per second.
a. Find the domain.
b. What does the domain mean in this context?
Answer:
see below
Step-by-step explanation:
The domain is the values that the input takes
The values go from 0 to 7
0≤x≤7
This is the time from the initial launch until the object hits the ground
Monica took a survey of her classmates' hair and eye color. The results are in the table below.
x3 + (y +z) factorize
Rewrite
4/10 : 1/25 as a unit rate.
A: 10:1
B: 25:4
C: 2:125
D: 100:1
Answer:
4/10 : 1/25
4/10 / 1/25 = 4/10 x 25/1 = 100/10 = 10.
10 can also be written as 10:1, so A is correct.
Hope this helps!
The velocity of a particle moving along a straight line is given by v(t)=6t2+4t−5 cm/sec at time t seconds with initial position s(0)=3 cm. What is the position of the particle at t=2 seconds, in cm?
Answer:
s(2) = 17 cm
Step-by-step explanation:
We are told that the velocity function is;
v(t) = 6t² + 4t − 5 cm/sec
Integral of velocity gives distance.
Thus;
s(t) = ∫v(t) = ∫6t² + 4t − 5
s(t) = 2t³ + 2t² - 5t + c
We are told that s(0)=3 cm
Thus;
s(0) = 2(0)³ + 2(0)² - 5(0) + c = 3
Thus; c = 3
Thus;
s(t) = 2t³ + 2t² - 5t + 3
At t = 2 secs
s(2) = 2(2)³ + 2(2)² - 5(2) + 3
s(2) = 17 cm
Nghiệm của bất phương trình | 2x - 3| - 1 <0
Answer:
x = 1 và 2 x= 1 and 2
Step-by-step explanation:
Đầu tiên trừ đi 1 để được 2x-3 nhỏ hơn -1 sau đó bạn lập phương trình bằng 2x-3 = -1 và 2x-3 = 1 để nhận được kết quả cuối cùng là 1 và 2 do đó x = 1 và 2
First subtract 1 to get 2x-3 is less then -1 then you let the equation equal 2x-3=-1 and 2x-3=1 to get a final answer of 1 and 2 therefore x=1 and 2
Find the nth term of each of the sequences.
(a) 16, 19, 22, 25, 28, ...
(b) 1,3,9,27,81,...
Answer:
a) 16, 19, 22, 25, 28, 31, 34, 37, 40
b) 1, 3, 9, 27, 81, 243, 729, 2187
Explanation:a) Add 3 on every number.
b) Multiply every number by 3.
What is the range of the given data set? OA) 30 OB) 32 OC) 37 OD) 40
Answer:
Range = maximum number - minimum number
maximum number = 99minimum number = 62Range = 99 - 62 = 37
Answer:
37
Step-by-step explanation:
The range is the difference between the highest number and the smallest number.
Looking at the stem and leaf plot we can identify the largest and smallest number
Largest number: 99
Smallest number: 62
If range = largest number - smallest number then range = 99 - 62 = 37
12. PLEASE HELP ME
Which of the following are the coordinates of the vertex of y= x2 - 10x + 2?
A. (–10, 2)
B. (2, –10)
C. (–5, 23)
D. (5, –23)
Answer:
I think b no. is the correct answer
Answer:
D. (5, –23)
Step-by-step explanation:
The vertex is in essence the turning point of the parabola y = x² − 10x + 2
the x coordinate of the turning point =
=
= 5
when x = 5, y = (5)² - 10(5) + 2
= -23
Thus coordinate or vertex is ( 5, -23)
5 right 23 down
TRIGONOMETRY
Could someone please help me with 5.2 please...it would really help alot:)
sin(x+y) - sin(x-y) - 1 = cos(2x)
sin(90) - sin(x-y) - 1 = cos(2x)
1 - sin(x-(90-x)) - 1 = cos(2x)
-sin(2x-90) = cos(2x)
-1*(sin(2x)cos(90) - cos(2x)sin(90)) = cos(2x)
-1*(sin(2x)*0 - cos(2x)*1) = cos(2x)
-1*(0 - cos(2x)) = cos(2x)
-1*(-cos(2x)) = cos(2x)
cos(2x) = cos(2x)
This confirms the identity is true.
Notice that throughout this proof, I only changed the left hand side.
On the 5th line, I used the identity sin(A-B) = sin(A)cos(B)-cos(A)sin(B).
In right triangle ABC, AB = 3 and AC = 9. What is the measure of angle B to the nearest degree?
Answer:
90 degrees
Step-by-step explanation:
see image
make x A
y B
z C
AB=3 (given)
AC=9 (given)
measure of angel B or y, is 90
if
x= A
y= C
z= B
then the hypotenuse would be shorter than one of the legs
3<9
so B has to be the right angle (90 degrees)
(x-4)°=1
giải hộ em với ạ
Answer: 5
Step-by-step explanation:
⇒ (x - 4) = 1
⇒ x = 1 + 4
⇒ x = 5
Therefore value of x = 5
Answered by Gauthmath must click thanks and mark brainliest
Geometry, please answer question ASAP
Answer:
Triangle ACB =~ triangle DFE, by adding 6 units to each side of both triangles their relationship will not change. They are still similar.
Step-by-step explanation:
The answer isn't great in all honesty but it's been a long time since I took geometry and I don't 100% remember the proper way of stating it. Though I am 100% sure they stay similar.
Sorry couldn't be of more help but figured something was better then nothing
If C.P. = Rs. 480, S.P. =Rs.528 find profit and profit percent
In this question first you should find profit amount by using formula and you should use profit amount in profit percentage formula then you should calculate it
A wholesaler purchased an electric item for Rs 2,700 and sold to retailer at
10% profit. The retailer sold it at 20% profit to a consumer. How much did the
consumer pay for it.
PLZ PLZ HELP.......
Step-by-step explanation:
10 % of 2700 = 270
so he had 2970 rupee
20% of 2970 = 594
so customer have to pay 2970 + 594 = 3564
The foot of a ladder is placed 10 feet from a wall. If the top of the ladder rests 13 feet up on the wall, find the length of the ladder.
On a separate piece of graph paper, graph y=-Ixl +3 then click on the graph until the correct one appears.
Answer:
That is the graph for y = -|x| + 3
Chi needs to simplify the expression below. (1.25 -0.4)-7+4x3 Which operation should she perform first?
I need an answer quickly
Answer:
She should first perform the operation in the parentheses, you can reference the order of the operations based on PEMDAS.
Step-by-step explanation:
1. parentheses operations
2. multiply 4 x 3
3. add the value you get from the parentheses with -7
4. with that value add it to the product of 4 and 3
Hope that helped! :)
Answer:
Subtraction
Explanation:-
[tex]( 1.25 -0.4) \div7+ 4 \times 3[/tex]
Using BODMAS Rule:-
BracketsOrdersDivisionMultiplicationAdditionSubtractionIn bracket, the operation subtraction should be performed first .
Use what you know about sine, cosine, and tangent to calculate the height of the buildings in the diagram below.
Answer:
x = 32 feet
Step-by-step explanation:
By applying tangent rule in ΔACD,
tan(40°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{AB+AC}{CD}[/tex]
= [tex]\frac{x+BC}{87}[/tex]
x + BC = 73 -----(1)
By applying tangent rule in ΔBCD,
tan(25°) = [tex]\frac{BC}{CD}[/tex]
= [tex]\frac{BC}{87}[/tex]
BC = 40.57
By substituting the value of BC in equation (1),
x + 40.57 = 73
x = 32.43
x ≈ 32 feet
What is a ratio that is equivalent to 12:35?
Answer:
0.3429 is a decimal and 34.29/100 or 34.29% is the percentage for 12/35.
Answer:
24 : 70
Step-by-step explanation:
12 : 35
Multiply each side by 2
12*2 : 35*2
24 : 70
X+y=2 và x-y=4 tim x và y
Step-by-step explanation:
X
[tex]xx - xxyy - yy = 8[/tex]
looking for the equation, slope, and y-intercept of: (1,-3) and (0,-1)
Answer:
Equation: y = -2x - 1
Slope: -2
Y intercept: -1
Step-by-step explanation:
First, find the slope using rise over run, (y2 - y1) / (x2 - x1):
(y2 - y1) / (x2 - x1)
(-1 + 3) / (0 - 1)
2 / -1
= -2
So, the slope is -2. Plug this and a point into slope intercept form, y = mx + b, and solve for b:
y = mx + b
-1 = -2(0) + b
-1 = 0 + b
-1 = b
So, the y intercept is -1. Create the equation by plugging in the slope and b into y = mx + b:
y = mx + b
y = -2x - 1
The equation of the line is y = -2x - 1.
Answer: y=-2x-1. Slope is -2 and y int. is -1.
Step-by-step explanation:
First, you need to find the slope by using the slope formula y2-y1/x2-x1. Plug in the x and y coordinates, which simplifies as -1-(-3)/0-1, and furthermore to 2/-1, or -2. The y intercept can be found by the second point, (0,-1). Therefore, the y int. is -1.
Amira is twice as old as her cousin Pam. Nine years ago, their combined age was 18. What are their present ages?
Answer:
Amira is currently 24 years old and Pam is currently 12 years old
Step-by-step explanation:
Let Amira's age be [tex]a[/tex] and Pam's age be [tex]p[/tex]. Currently, Amira is twice as old as Pam. Therefore, we can write the equation [tex]a=2p[/tex].
We can write a second equation using the other information given in the question. Nine years ago, Amira and Pam's combined ages was 18. If Amira and Pam are currently [tex]a[/tex] and [tex]p[/tex] years old, respectively, then their respective ages 9 years ago would ben [tex]a-9[/tex] and [tex]p-9[/tex]. Since these add up to 18, we have the equation [tex](a-9)+(p-9)=18[/tex].
Therefore, we have a system of equations:
[tex]\begin{cases}a=2p,\\a-9+p-9=18\end{cases}[/tex]
Substitute the first equation into the second one:
[tex]2p-9+p-9=18[/tex]
Combine like terms:
[tex]3p-18=18[/tex]
Add 18 to both sides:
[tex]3p=36[/tex]
Divide both sides by 3:
[tex]p=\frac{36}{3}=\boxed{12}[/tex]
Now substitute this into any of the equations (I'll choose the first):
[tex]a=2p,\\a=2(12),\\a=\boxed{24}[/tex]
Therefore, Amira is currently 24 years old and Pam is currently 12 years old.
what is the volume of the cylinder
Answer:
B
Step-by-step explanation:
Volume of the figure = Volume of cylinder + Volume of cone
Note: A cone having the same radius and height as cylinder have a volume (1/3) of cylinder
Volume of cone=(1/3)*96=32
Volume of the figure = 32+96=128
The definition of a circle
Answer:
a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)
Explanation:
Oxford dictionary definition
Step-by-step explanation:
a circle is a shape consisting of all points in a plane that are at a given distance from a given point the center
In the first quadrant, you start at 2, 6 and move 2units rights and 3 units down what point will you end up on?
Answer:
[tex]End = (4, 9)[/tex]
Step-by-step explanation:
Given
[tex]Start = (2,6)[/tex]
Transformation: 2 units right and 3 units down
Required
The new point
First, we take the right translation;
When a point is translated right by 2 units, the rule is:
[tex](x,y) \to (x + 2, y)[/tex]
So, we have:
[tex](2,6) \to (2 + 2, 6)[/tex]
[tex](2,6) \to (4, 6)[/tex]
Next, we take the down translation;
When a point is translated down by 3 units, the rule is:
[tex](x,y) \to (x, y + 3)[/tex]
So, we have:
[tex](4,6) \to (4, 6+3)[/tex]
[tex](4,6) \to (4, 9)[/tex]
Hence, the endpoint is:
[tex]End = (4, 9)[/tex]
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
ax – 2 = 12.5
Answer:
x = 14.5/a
Step-by-step explanation:
ax – 2 = 12.5
Add 2 to each side
ax – 2+2 = 12.5+2
ax = 14.5
Divide by a
ax/a = 14.5/a
x = 14.5/a
Write a verbal expression for (c-2)d
Answer:
the sum of c minus 2 multiplied by d ------> (c-2)d
f (x) = -x^2 + x + 14 Find f(2)
f(x) = -x² + x + 14
f(2) = -2² + 2 + 14 = -4 + 16 = 12
f(2) = 12
Answer:
12
Step-by-step explanation:
f (x) = -x^2 + x + 14
Let x= 2
f(2) = - (2)^2 +2+14
= -4 +2+14
= -2 +14
= 12
What are the factors of the expression below -2x^2+5-3
A -1(2x-3)(x-1)
B -1(2x+3)(x-1)
C -1(2x+3)(x+1)
D -1(2x-3)(x+1)
Answer:
A
Step-by-step explanation:
Given
- 2x² + 5x - 3 ← factor out - 1 from each term
= - 1(2x² - 5x + 3) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 3 = 6 and sum = - 5
The factors are - 2 and - 3
Use these factors to split the x- term
2x² - 2x - 3x + 3 ( factor the first/second and third/fourth terms )
2x(x - 1) - 3(x - 1) ← factor out (x - 1) from each term
(2x - 3)(x - 1)
Then
- 2x² + 5x - 3 = - 1(2x - 3)(x - 1) → A
