Answer:
V= 68.6 m/s
Step-by-step explanation:
height above the ground t seconds after it is dropped is 675-4.9t^2
For seven seconds
Height above ground= 675-4.9(7)²
height above ground= 675-240.1
Height above ground= 434.9 m
But it's dropped from a cliff and we need to find the distance traveled from the too of the cliff
Distance= 675-434.9.
Distance= 240.1
To determine it's speed
V²= U² +2gs
V= velocity we are looking for
U= initial velocity= 0
G= acceleration due to gravity= 9.8 m/s²
s= distance covered
V²= U² +2gs
V²= 0+2(9.8)(240.1)
V²= 4705.96
V= 68.6 m/s
If angle ABC measures 35 degrees and angle BAC measures 115 degrees, what’s the angle measure of DCB?
Answer:
30 degrees
Step-by-step explanation:
Assuming you are talking about a triangle, you would add 35 and 115 to get 150. Then subtract from 180.
35+115=150
180-150=30
If the 11th term of a geometric sequence is 32 times larger than the 6th term, then what is the common ratio of the sequence?
Answer:
2
Step-by-step explanation:
Given that:
11th term of a geometric sequence is 32 times larger than the 6th term
The nth term of a geometric sequence is given by:
An = A*r^(n-1)
Where An = the nth term ; r = common ratio and n = term number ; A = first term
The 11th term:
A6 = A*r^(6 - 1) = Ar^5
A11 = 32A6 = 32Ar^5
A11 = Ar^(11 - 1) = Ar^10
Hence,
Ar^10 = 32Ar^5
r^(10 - 5) = 32
r^5 = 2^5
Hence, r = 2
At McDonald’s, a cheeseburger has 1/10 pound of meat. A
quarter-pounder has 1/4 pound of meat.
a. How much more meat is used for the quarter-pounder?
Answer:
3/20 of more meat is used for a quarter pounder
Cooper will deposit $1,500 into an account that earns 7% simple interest every year. His sister Trinity will deposit $1,800 into an account that earns 6% simple interest every year. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Which statement about the balances of Cooper's and Trinity's account at the end of 3 years is true?
Answer:
For Cooper :
Simple interest = $315
The total amount he would have in his account = $1815
For Trinity :
Simple interest = $324
The total amount she would have in her account = $2124
Trinity's interest is higher than Cooper's interest by $9
The total amount of money Trinity would have at the end of 3 years is higher than that of Cooper by $309
Step-by-step explanation:
Simple interest = principal x rate x time
Value = amount deposited + simple interest
For Cooper :
Simple interest = $1,500 x 0.07 x 3 = $315
The total amount he would have in his account = $1,500 + $315 = $1815
For Trinity :
Simple interest = $1800 x 0.06 x 3 = $324
The total amount she would have in her account = $1,800 + $324 = $2124
Which parent functions have no symmetry?
Cubic
Quadratic
Greatest Integer
Square Root
Exponential
Rational
Linear
Absolute Value
Answer:
Square Root, Greatest Integer
Step-by-step explanation:
Functions can be symmetrical in two ways: They can be symmetrical across a line or symmetrical across a point.
In a Square root function, when reflected across the y-axis, the graph has no symmetry because -x returns a different value when plugged into the function.
For a Greatest Integer function, with [tex]\lfloor x \rfloor[/tex], if we change the value of x to -x and we floor -x, we get a different value than the original.
Hope this helped!
Determine which of the following are the solutions to the equation below.
Answer:
D
you want to use the quadratic formula so you send the 6 over with the x² so you substact 6 on both sides and and and invisible 0x having your equation x²+0x-6 and substitute that equation into the quadratic formula
What is the domain of the
quadratic parent function y=x2?
Answer:
[tex]\Large \boxed{\mathrm{All \ real \ numbers}}[/tex]
Step-by-step explanation:
[tex]y=x^2[/tex]
The domain are the set of all possible values for x.
There are no restrictions on the value of x.
The domain is all real numbers.
9.51 as a mixed number in a simplest form
Answer:
Below
Step-by-step explanation:
9 [tex]\frac{51}{100}[/tex]
Answer: 9 51/100
Step-by-step explanation:
STEP 1. Convert it into improper fraction
9.51=951/100
STEP 2. Convert improper fraction into mixed fraction
951 ÷ 100=9 R 51
9 51/100
Hope this helps!! :)
Please let me know if you have any question
I just need the answer thanks. D is 57 ouces if you can't see it
Answer:
c) 20 ounces
Step-by-step explanation:
Question 2 (1 point)
According to Hooke's Law, the force needed to stretch a spring varies directly to the amount the spring is stretched 150 pounds of force
stretches a spring five inches, how much will the spring be stretched by a force of 180 pounds?
inches
Blank 1:
===========================================
Explanation:
x = amount (in inches) the spring is stretched
y = force applied (in pounds)
y = kx for some constant k, since x and y vary directly
---------------
Plug in the given info that x = 5 and y = 150 pair up together
Solve for k
150 = k*5
150/5 = k
k = 30
The equation goes from y = kx to y = 30x. Whatever the stretching distance (x) is, you multiply by 30 to get the force needed (y) to pull the spring.
---------------
Plug in y = 180 to solve for x
y = 30x
180 = 30x
30x = 180
x = 180/30
x = 6
The spring will be stretched 6 inches if you apply a force of 180 pounds.
Find the quotient: –1019÷(−57). a: 7095 B: 1419 c : 1419 d : 7095
Answer:
[tex]Quotient = 17[/tex]
Step-by-step explanation:
Given
[tex]\frac{-1019}{-57}[/tex]
Required
Determine the quotient
[tex]\frac{-1019}{-57}[/tex]
Start by dividing the numerator and denominator by -1
[tex]\frac{1019}{57}[/tex]
The quotient is the integer division of two numbers;
[tex]\frac{1019}{57} = 17.8771929825[/tex]
Since, we only need the integer part;
[tex]Quotient = 17[/tex]
None of the given options answer the question
what is the value of m in −4(m−26)=−12m
Answer:
M = -13
Step-by-step explanation:
Divide both sides by -4−4.
m−26=3m
Subtract mm from both sides.
−26=3m−m
Simplify 3m - m to 2m.
−26=2m
Divide both sides by 2
− 26/2=m
Simplify 26/2 to 13
-13=m
Switch sides.
m=13
Answer:
-13
Step-by-step explanation:
1. First distribute
2. Then get m on one side by adding 4m to both sides
3. Combine the numbers with the variable m
4. You need to get m by itself so divide both sides of the equation by -16
5. You should get m=-13
1.-4(m-26)=-4m+104 4m+4m+104=-12m
2. 104=-12m-4m
3. 104=-16m
4. 104/-13=-16/-16m
5. -13=m
if h(x)=5+c and k(h)=1/x, which expression is equivalent to (k•h)(x) a. (5+x)/x b.1/(5+x) c. 5+(1/x) d. 5+(5+x)
Answer:
A
Step-by-step explanation:
We are given the two functions:
[tex]\displaystyle h(x)=5+x \text{ and } k(x) = \frac{1}{x}[/tex]
And we want to find:
[tex](k\cdot h)(x)[/tex]
Recall that this is equivalent to:
[tex]\displaystye (k\cdot h)(x) = k(x) \cdot h(x)[/tex]
Substitute and simplify:
[tex]\displaystyle \begin{aligned} (k\cdot h)(x) & = \left(\frac{1}{x}\right)(5+x) \\ \\ & = \frac{5+x}{x} \end{aligned}[/tex]
In conclusion, our answer is A.
Answer:
A. (5 + x) / x
Step-by-step explanation:
h(x) = 5 + x
k(h) = 1 / x
express the above to (k*h)(x)
(k*h)(x) = (1 / x) * (5 + x)
= 1/x (5+x)
= 1 * (5 + x)
x
= 1 (5 + x) = 5 + x
= 5 + x
x
Jaime flipped a coin 20 times, and it landed on heads 15 out of the 20 times. Which would be the BEST way for Jaime to change his experiment so that his experimental probability of the coin landing on heads is closer to the theoretical probability?
Answer:
what is theoretical probability
What is the value of x in the equation −6 + x = −2? (5 points) a 8 b 4 c −4 d −8
Answer: Bippie boppy boo the answer is true!
Step-by-step explanation: It is B! I did the test
In Vancouver, the high temperature for the day was 6° C. On the same day, the high temperature in Calgary was −3° C. What was the difference in high temperatures between the two cities?
Answer:
9
Step-by-step explanation:
|6|+|-3|=9
Points A, P, and B are collinear on AB, and PB:AB = 2/7. A is located on the origin (0,0), P is located at (10, -5), and B is located at (x, y). Which axis is closer to B, the x-axis or the y-axis? Justify your answer.
I don't know how to show the work.
Answer:
The x-axis is closer to B.
Step-by-step explanation:
Since the ratio PB:AB = 2/7 is positive, the line divides internally. So, we use the equation for the coordinates of a point that internally divide a line.
So, x = (mx₂ + nx₁)/(m + n) and y = (my₂ + ny₁)/(m + n)
where PB/AB = 2/7 = n/m. So, n = 2 and m = 7
Also, Point A = (0,0) = (x₁, y₁) and point P = (10, -5) = (x₂, y₂).
Substituting these values into x and y, we have
x = (mx₂ + nx₁)/(m + n)
x = (7(10) + 2(0)₁)/(7 + 2)
x = (70 + 0)/9
x = 70/9
x = 7⁷/₉
y = (my₂ + ny₁)/(m + n)
y = (7(-5) + 2(0)₁)/(7 + 2)
y = (-35 + 0)/9
y = -35/9
y = -3⁸/₉
So, the x and y coordinates of B are 7⁷/₉ and -3⁸/₉ respectively. So, point B is -3⁸/₉ units away from the x-axis and 7⁷/₉ units away from the y-axis. So the x-axis is closer to B.
3x-2y = -1
у= 4х - 7
Answer:
x =3
y =5
Step-by-step explanation:
Solve by substitution
[tex]\begin{bmatrix}3x-2y=-1\\ y=4x-7\end{bmatrix}\\\\\mathrm{Subsititute\:}y=4x-7\\\\\begin{bmatrix}3x-2\left(4x-7\right)=-1\end{bmatrix}\\\\\mathrm{Simplify}\\\begin{bmatrix}-5x+14=-1\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-5x+14=-1:\quad x=3\\\mathrm{For\:}y=4x-7\\\\\mathrm{Subsititute\:}x=3\\y=4\times\:3-7\\\\Simplify\\y=5\\x=3,\:y=5[/tex]
order each number greatest to least 1/2, -2, square root of 5, -7/4, 2.4
PLEASE HELP ME
Answer:
I think its
2.4, square root of 5, 1/2, -7/4, -2
hope this helps :D
What is the area of the composite figure?
4 in
O (877 + 6) in.2
(817 + 12) in 2
(877 + 18) in 2
(81T + 24) in 2
3 in
Answer:
8π + 12 in²
Step-by-step explanation:
Just add the areas of the semicircle and the triangle.
Part of the population of 4,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 12 of them are infected. How many elk are likely to be infected? Based on the sample, there will likely be infected elk in the wildlife preserve.
Answer:
876
Step-by-step explanation:
7689686896
If EF=2x-8, FG=4x-13 and EG= 27 find the. Value of x
Answer:
[tex]\Huge \boxed{x=8}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
E ———— F ———— G
EG = EF + FG
27 = (2x - 8) + (4x - 13)
Combining like terms.
27 = 6x - 21
Adding 21 to both sides.
48 = 6x
Dividing both sides by 6.
8 = x
[tex]\rule[225]{225}{2}[/tex]
The value of the variable x will be 1.
What is a line segment?A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
If EF = 2x - 8, FG = 4x - 13, and EG = 27.
Point F lies on the line segment EG. Then we have
EG = EF + FG
27 = 2x - 8 + 4x - 13
27 = 6x - 21
6 = 6x
x = 1
Then the value of the variable x will be 1.
More about the line segment link is given below.
https://brainly.com/question/25727583
#SPJ2
What is 5.57575757... as a fraction ?
Answer:
[tex]\frac{5.57575757}{1}[/tex]
Step-by-step explanation:
Assuming you can't use a calculator:
5.575757... = 5 + 0.575757...
let 0.575757... = x
1) Substitute x for 0.575757...
5.575757... = 5 + x
2) Multiply both sides by 100
100(5.575757...) = 100(5+x)
557.575757... = 500 + 100x
3) Subtract 500 from both sides
57.575757... = 100x
4) 57.575757... can be written as 57 + 0.575757...
57 + 0.575757... = 100x
5) Substitute x for 0.575757...
57 + x = 100x
6) Subtract x from both sides
57 = 99x
7) divide both sides by 99
x = 57/99
8) plug in 57/99 for x in our original equation
5.575757... = 5 + (57/99)
9) simplify
5.575757... = ((5*99)/99) + (57/99)
5.575757... = (495/99) +(57/99)
5.575757... = (495+57)/99
5.575757... = 552/99
5.575757... as a fraction is 552/99
17) Eli packed 1,920 peanuts into 8 sacks. He packed an equal number of peanuts in each sack. How many peanuts did he pack into each sack?
Answer:
240
Step-by-step explanation:
you have to divide 1,920 by 8
Benito embroiders and sells T-shirts. The graph shows his profit as a function of the number of shirts sold. After selling a certain number of shirts, Benito uses some earnings to buy more materials and then increases the price of the shirts. Which of the following is true? A coordinate plane with 12 distinct points plotted which are not connected. The points are 0 comma negative 20, 1 comma negative 10, 2 comma 0, 3 comma 10, 4 comma 20, 5 comma 30, 6 comma 40, 7 comma 50, 8 comma 25, 9 comma 40, 10 comma 55, and 11 comma 70. Group of answer choices The x-intercept represents the shirts he has to sell before making a profit. Benito increases the price after selling 50 shirts. The y-intercept represents the cost of one T-shirt. The domain of the function is {x | x is a real number greater than or equal to 0}.
Answer:
The correct option is;
The x-intercept represents the shirts he has to sell before making a profit
Step-by-step explanation:
The given data are;
(0, -20), (1, -10), (2, 0), (3, 10), (4, 20), (5, 30), (6, 40), (7, 50), (8, 25), (9, 40), (10, 55), (11, 70)
The data show a linear relationship because successive data point increases by the same amount of 10 for x between 0 and 7 and 15 for x between 8 and 11;
Therefore;
Slope, m of the first linear portion using points (2, 0), and, (4, 20) gives;
m = (20 - 0)/(4 - 2) = 10
The equation of the line is therefore;
y - 20 = 10·(x - 4)
y = 10·x - 40 + 20
y = 10·x - 20
The y-intercept (x = 0) is y = -20
The x-intercept (y = 0) is found as follows;
0 = 10·x - 20
20 = 10·x
10·x = 20
x = 20/10 = 2
Therefore, when x = 2 we have;
Profit = y = 10·x - 20 = 10×2 - 20 = 0
Which can be expressed as, he has to sell more than 2 shirts to make profit
Therefore, the correct option is that the x-intercept represents the shirts he has to sell before making a profit.
Please find the answers
Answer: -4,-3,-2,-1,0,1,2,3
Step-by-step explanation: they are asking you to put all the integers -4 and 4 in ascending order so, you must start from -4 and go up which is moving to the positive side on the number line and end at 4.
The integer 3 is 3 units from 0 on the number line. Which integer is also 3 units from 0 on the number line? Complete the sentence with the correct integer.
Answer:
-3
Step-by-step explanation:
The number line is the straight line where all the numbers are expressed and when we represent this line we usually use intervals of the same length to express the numbers. For example, the numbers 0, 1, 2, 3, 4 would have the same distance between them since there is one integer between each of them.
The number line also has negative numbers, so the integer to the left of the zero is -1, then we have -2, -3, etc.
In this example we are told that the integer 3 is 3 units from 0 on the number line, this number is 3 units from zero to the right (positive numbers). So, as we said before, if we move 3 units from 0 but to the left we would be 3 units from 0 but on the side of negative numbers and thus, the integer that is also 3 units from zero on the number line is -3.
When you are translating a function what does +d mean and -d mean
Answer:
ONe is postive and the other is negetive
Step-by-step explanation:
Help me pleaseeee asap, thanks!
Answer:
see below
Step-by-step explanation:
[tex] \sqrt{64} + \sqrt{-144} = \sqrt{8^2} + \sqrt{-1 \times 12^2} [/tex]
[tex] ~~~~~~~~ = 8 + i \times \sqrt{12^2} [/tex]
[tex] ~~~~~~~~ = 8 + 12i [/tex]
A chess club with 60 members is electing a new president. Karen received 39 votes. what percentage of the club members voted for Karen?
Answer:
65% voted for Karen
Step-by-step explanation:
Answer:
65%
Step-by-step explanation: