Answer:
A = about 2.2 seconds
B = between 0.2 and 1.7 seconds
Step-by-step explanation:
A .to calculate the time in the air, we have to replache h=0.
h = - 16t + 30t +10
0 = - 16t + 30t +10
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
a=-16 ; b=30 ; c=10
Replacing with the values given:
x =[ -30 ± √(30)²-4(-16)10] /2(-16)
x = [ -30 ± √900 +640] /-32
x = [ -30 ± √1,540] /-32
x = [-30 ± 39.24] /-32
Negative:
x = [-30 -39.24] /-32 = 2.16 seconds = about 2.2 seconds
B. .to calculate this, we have to replache h=15.
15 = - 16t + 30t +10
0 = - 16t + 30t +10-15
0= - 16t + 30t -5
a=-16 ; b=30 ; c=-5
Applying the quadratic formula again:
x =[ -30 ± √(30)²-4(-16)-5] /2(-16)
x = [ -30 ± √900-320] /-32
x = [ -30 ± √580] /-32
x = [-30 ± 24.08] /-32
Positive:
x = [-30 +24.08] /-32 = 0.18 seconds =0.2 seconds
Negative:
x = [-30 -24.08] /-32 = 1.7seconds
Feel free to ask for more if needed or if you did not understand something.
If p(x) = x2 - 1 and 4(x) = 5(x-1), which expression is equivalent to (p - 9)(x)?
5(x - 1) - x2-1
(5x-1) -(x2-1)
(x2 - 1) - 5(x - 1)
(x2-1) - 5x-1
Answer:
x^2 - 10 = (p - 9)(x)
Step-by-step explanation:
Please indicate exponentiation with the symbol " ^ ": p(x) = x^2 - 1.
To obtain (p - 9), start with p(x) = x^2 - 1 and subtract 9:
(p - 9)(x) = x^2 - 1 - 9 = x^2 - 10 = (p - 9)(x)
use the elimination method to solve the system of equations. Choose the correct ordered pair. 5x-y=27 and 5x+4y=42
Answer:
(6,3)
Option B is the right option.
please see the attached picture for full solution...
Hope it helps....
Good luck on your assignment...
01:37:49
The function f(x) = −(x + 5)(x + 1) is shown.
On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 3, 4), and goes through (negative 1, 0).
What is the range of the function?
all real numbers less than or equal to 4
all real numbers less than or equal to −3
all real numbers greater than or equal to 4
all real numbers greater than or equal to −3
Answer:
all real numbers less than or equal to 4
which agrees with the first answer option listed
Step-by-step explanation:
The parabola opening down means that its two branches go on towards negative values with no limit. The maximum y-value that this parabola can reach is therefore the y-value of its vertex which is 4, given that the vertex coordinates are (3, 4).
Therefore, the Range of y-values can have any real number that is smaller than or equal to 4
Answer:
all real numbers less than or equal to 4
Step-by-step explanation:
The leading coefficient is negative, so the vertex is a maximum. The y-value of the vertex (4) is the upper limit of the range.
The range is all real numbers less than or equal to 4. (first choice)
What is the quotient of 6/7 divided by 3/14
Answer:
6/7 ÷ 3/14
= 6/7 × 14/3
= 2/7 × 14 (we cancelled 3 with 6)
= 2×2 (we cancelled 7 with 14)
= 4
hope it helps
Step-by-step explanation:
Answer:
[tex]\frac{6}{7} / \frac{3}{14} = \frac{6}{7} x \frac{14}{3} = (6)(14) / (7)(3) =\frac{84}{21} = 4[/tex]
Step-by-step explanation:
Hope this helps you!! ( BTW this means / Divide ).
Please help ASAP!!!!! I will give extra 20 points please help i really want to go roller blading !!!! The perimeter of a rectangle is dependent on the length of each of its sides. Suppose the base of a rectangle is two more than its height. Complete an input/output table for at least three pairs of inputs and outputs. Make sure to use values that make sense within the context of this situation.
Answer:
See below,
Step-by-step explanation:
Input Output
B H Perimeter (2B + 2H)
3 1 8
5 3 16
14 12 52
I hope this helps.
The cost of a car is supposed to be no more than 80% of the value for the next year's
model. If a car costs $14,000, what is the cost of the next year's model?
Answer:
x ≥ 17,500
Step-by-step explanation:
To solve this problem, we will follow the steps below:
let x be the cost of the next year's model
Writing the question in a mathematical format yield
$14,000 ≤ 80% of x
This implies ;
80% of x ≥$14,000
80% × x ≥$14,000
[tex]\frac{80X}{100}[/tex] ≥ $14,000
multiply both-side of the inequality by 100
[tex]\frac{80X}{100}[/tex] × 100 ≥ $14,000 × 100
at the left hand-side of the inequality 100 will cancel-out 100 leaving us with just 80x
80x ≥ $1,400,000
Divide both-side of the equation by 80
80x /80 ≥ $1,400,000/80
x ≥ 17,500
Jana has £1500 in her bank account.
She has 270 euros of money left from her last holiday and
she wants to put this into her bank account.
The bank will convert the euros into pounds using £1 =
1.1452 euros.
The bank deducts a fee of £0.89 from her savings account
for this conversion.
How much money does Jana now have in her bank
account?
£99. semoga membantu maksih
Answer:
The answer is 99 dollars
Step-by-step explanation:
Not showing workout...
Just showing how
1) Multiply 1.1452 * 270
2) Multiply 0.89 * 270
3) Subtract the second step from the first step
Hope this helps....
Pls mark my ans as brainliest :)What is the length of segment AD.
Answer:
AD= 5.82 units (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.
*skipped these steps in the beginning:
∠ABC +∠ABD= 180° (adj. ∠s on a str. line)
90° +∠ABD= 180°
7. If the length of the side of a table is 3 more than twice its width, what is the expression
of its perimeter?
a. Draw an image and show all your work to demonstrate your thinking and
understanding of this problem.
b. If the perimeter is 30, what is the width of the table? Show your work
Answer:
Step-by-step explanation:
Width =w
Length = 2w + 3
Perimeter = 2*(length +width)
= 2*(2w +3 + w )
= 2*(3w + 3)
= 6w + 6
b) Perimeter = 30 units
6w + 6 = 30
Subtract 6 form both sides
6w = 30- 6
6w = 24
Divide both sides by 6
6w/6 = 24/6
w = 4
l = 2w + 3
= 2*4 + 3
= 8 + 3
= 11
Length = 11 units
Width = 4 units
PLZ HELP!! HURRY!!!30POINTS!!
Answer:
c. We use tan∅ to solve
d. x ≈ 45.64 ft
Step-by-step explanation:
Step 1: Draw out the picture
When we do so, we should be able to see that we are solving for the horizontal leg.
Step 2: Find the trig
tan78° = 214.7/x
xtan78° = 214.7
x = 214.7/tan78°
x = 45.6359
13. Write the equation of a horizontal line that passes through the point (3, -3).
O x = -3
Ox= 3
O y = 3
O y = -3
Answer:
O y = -3
Step-by-step explanation:
The line is horizontal.
x = -3 and x = 3 are vertical lines, so they are incorrect.
The line passes through (3, -3).
(x , y)
Put y as -3.
y = 3
(-3) = 3
Line y = 3 is incorrect.
(-3) = -3
Line y = -3 is correct.
Answer:
O y = -3
Step-by-step explanation:
Equations beginning with 'x=' would form a vertical line, not a horizontal line.
The point (3,-3) would satisfy y = -3.
-3 = -3
O y = -3 should be the correct answer.
One-quarter of the Math Olympiad participants are two-thirds of the Genius Circle students. Eight Genius Circle students did not participate in the Olympiad. What is the total number of students who participated in the Math Olympiad?'
Answer:
64
Step-by-step explanation:
This question is actually not hard just requires careful calculations.
So we know that 1/4 of MO (Math Olympiad) = 2/3 of GC (Genius Circle)
It also gives that 8 GC Members did not go to MO
So using these statements, we can find that
a. 1/3 of GC = 8 members --> and
b. 2/3 of GC = 16 which makes -->
c. 1/4 of MO = 16
Using these statements we can simply calculate 16 x 4 = 4/4 = 1
1 = Total amt. of participants in the MO => 16(4)
64
Hope this helps!
THE IMAGE DOWN BELOW MATH PLEASE HELP ME WITH THIS ALEGEBRA IM CRYING YALL
Answer:
33.33 %
Step-by-step explanation:
Difference:
=> 27 - 18 = 9
%age Increase:
=> [tex]\frac{9}{27} * 100 %[/tex]
=> 33.33 %
Answer:
33.3 %
Step-by-step explanation:
HELP ME OUT PLEASE!! -Find the number: 25% of a number is a lb.
Answer:
I’m going to generalise the answer in the hope of preventing a billion questions with the % changed a little.
If you have a calculator X% just means multiply by X and divide by 100.
If you don’t have a calculator or paper handy, you can split the problem: I’ll do it for 25% but in this case the other answers are simpler.
25%=10%+10%+5%.
Now 10% is easy, just move the decimal one place to the left, for instance 35 becomes 3.5.
5% is half of 10% 3.5/2=1.75
Add it all up: 3.5+3.5+1.75= 8.75. Done.
You don't even need to know multiplication above 5x tables, for instance
37% is 10%+10%+10%+7% but that requires multiplying by 7.
37% is also 10%+10%+10%+10% -3% only requiring 3x table.
I'm not sure if this is what you mean but here ya go
Answer:25%=
25/100
25/100 * 1/1
100 * 1/25*1=
100/25=
4
Step-by-step explanation:
Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = square root of 3 Find: AC
Answer:
AC = 2.30
Step-by-step explanation:
Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB , CD = [tex]\sqrt{3}[/tex].
Since CD ⊥ AB, thus CD divides AB into two equal parts.
From ΔACD, applying the Pythagoras theorem;
[tex]AC^{2}[/tex] = [tex]AD^{2}[/tex] + [tex]CD^{2}[/tex]
= [tex]1.5^{2}[/tex] + [tex](\sqrt{3}) ^{2}[/tex]
= 2.25 + 3
= 5.25
AC = [tex]\sqrt{5.25}[/tex]
= 2.2913
∴ AC = 2.30
Help help please....Thanks
Answer:
Turkey - No
Brazillian - 8160 g and Kenyan - 2040
Step-by-step explanation:
45 Min x 4.4 kg = 198 Minutes
198 Min + 65 Min = 263 Min or 4.38 Hours
------------------------------------
120 cups x Total Grams needed ( 85 g ) = 10200
10200 / 5 as this is a 4 : 1 ratio = 2040
2040 x 4 = 8160
2040 x 1 = 2040
helpppppppppp plsssssss
Hey there! :)
Answer:
a) Blue.
b) 1/2.
Step-by-step explanation:
Find the probabilities for each color:
Blue: 1/8
Yellow: 3/8
Green: 4/8 or 1/2
a) The color that the spinner is the least likely to land on has the smallest probability, which in this instance, is blue.
b) The probability of the spinner landing on green can be determined by:
# of green sections /total
Therefore:
4 / 8
Simplify the fraction:
4 / 8 = 1 / 2.
Answer:
a) Blue
b) 1/2
Step-by-step explanation:
a) The colors on the spinner are blue (B), green (G), and yellow (Y).
(B) = 1/8
(G) = 4/8
(Y) = 3/8
The spinner is least likely to land on the color blue.
b) The probability that the spinner lands on the color green is 4/8. The spinner has 8 equal sections, 4 of the sections are green.
4/8 can be simplified to 1/2.
The height of a window is 0.6 feet less than 2.5 times its width. If the height of the window is 4.9 feet, which equation can be used to determine x, the width of the window? 2.5 x + 0.6 = 4.9 2.5 x minus 0.6 = 4.9 0.6 x + 2.5 = 4.9 0.6 x minus 2.5 = 4.9
answer
2.5 x-0.6=4.9
Step-by-step explanation:
The height of a window is 0.6 feet less than 2.5 times its width.
If the height of the window is 4.9 feet.
Substitute in [1] we have;
2.5x-0.6 = 4.9
Therefore, an equation can be used to determine x, the width of the window is, 2.5x-0.6 = 4.9
Answer:
Or B
Step-by-step explanation:
for those you look for letters only
Help ASAP! Will name brainliest! Questions: Maximize the objective function P = 5x + 7y for the given constraints. x ≥ 0 y ≥ 0 2x + 3y ≤ 18 5x + 2y ≤ 23 Answers: 52, 43, 23, 30
Answer:
43
Step-by-step explanation:
Factor the expression completely.
8x2 - 18
Answer:
2 ( 2x-3) (2x+3)
Step-by-step explanation:
8x^2 - 18
Factor out a 2
2(4x^2 -9)
Inside the parentheses is the difference of squares
2 ((2x)^2 - 3^2)
We know the difference of squares is (a^2 -b^2) = (a-b)(a+b)
2 ( 2x-3) (2x+3)
PLEASE HELP!!!! 5. POINTS EACH.
Answer:
question 3: 1/3 question 4: 5/7 question 5: 2/3
Answer:
1/3
5/7
2/3
Step-by-step explanation:
The numbers greater than 4 on a fair dice are 5 and 6.
2 numbers out of 6 or 2/6
2/6 = 1/3
Total parts = 7 + 12 + 18 + 5 = 42
12 are orange marbles.
42 - 12 = 30
30 marbles are red, yellow, and purple.
30/42 = 15/21 = 5/7
The numbers greater than 2 on a fair dice are 3, 4, 5, and 6.
4 numbers out of 6 total numbers.
4/6 = 2/3
[tex]\frac{y-95}{4} = 1[/tex]
y = _____
A study found that 9% of dog owners brush their dog’s teeth. Of 578 dog owners, about how many would be expected to brush their dog’s teeth? Explain. A. 50; 9% ≈ 10% and 578 should be rounded down to 500; 10% of 500 = 50 B. 60; 9% ≈ 10% and 578 ≈ 600; 10% of 600 = 60 C. 70; 9% ≈ 10% and 578 ≈ 700; 10% of 700 = 70 D. 100; 9% ≈ 10% and 578 should be rounded up to 1,000; 10% of 1,000 = 100
Answer:
A. 50
Step-by-step explanation:
Simply multiply 9% and 578 to get your answer:
578(0.09) = 52.02
What is the ratio of the area of Rectangle A to Rectangle B?
Answer:
2:3
Step-by-step explanation:
Area of rectangle A : 8x3 = 24
Area of rectangle B : 9x4 = 36
Area A : Area B = 24:36
Divide 24:36 by 12
= 2:3
The ratio of the area of Rectangle A to Rectangle B is 2:3.
What is the formula of Area of Rectangle?The area of rectangle for a rectangle of length L and width W is given by
A = L* W
It is measured in square units.
A rectangle is a polygon with four sides, the opposite sides of the polygon is parallel and equal.
The Length of Rectangle A is 3
The Width of the Rectangle A is 8
The area of the rectangle A is 3 * 8
Area of the rectangle A = 24 sq.unit.
The Length of Rectangle B is 4
The Width of the Rectangle B is 9
The area of the rectangle B is 4 * 9
Area of the rectangle A = 36 sq.unit.
The ratio of the area of the rectangles A and B is,
= 24 / 36
= 12/18
= 6/9
= 2/3
Ratio ( area of Rectangle A : Rectangle B ) = 2:3.
To know more about Area of Rectangle
brainly.com/question/20693059
#SPJ5
Multiply: (x + 3)(x – 4)
What is the middle term in the simplified product?
Ox
O-X
3x
O4x
Answer:
- x
Step-by-step explanation:
[tex](x + 3)(x - 4) \\ = x(x - 4) + 3(x - 4) \\ = {x}^{2} - 4x + 3x - 12 \\ = {x}^{2} - x - 12 \\ middle \: term \: = - x[/tex]
5n+6+(−7n) answer olz
Answer:
-2n + 6
Step-by-step explanation:
When we simplify the equation, we add like terms. 5n - 7n is 2n and 6 doesn't have anything to add/subtract to, so we have -2n + 6
Solve the compound inequality.
5 < 2x - 1<9
show your work solving the inequality
Answer:
x> 3 and x <5
OR
3 < x <5
Step-by-step explanation:
To solve the compound inequality, we will follow the steps below:
We will first break it into two inequalities.
That is;
5 < 2x - 1<9
5 < 2x - 1 AND 2x - 1<9
Then we will solve separately
5 < 2x - 1
add 1 to both-side of the equation
5 +1 < 2x - 1 +1
6 < 2x
Divide both-side of the inequality by 2
6 /2 < 2x/2
3 < x
x>3
we will now solve the other inequality
2x - 1<9
add 1 to both-side of the equation
2x - 1+1<9 +1
2x < 10
divide both-side of the inequality by 2
2x /2< 10/2
x < 5
Therefore x> 3 and x <5
or
3 < x <5
Answer:
[tex]x = (5 \: . \: 3)[/tex]
Step-by-step explanation:
To solve a compound inequality, seperate it into two inequalities:
[tex]2x - 1 > 5 \\ 2x - 1 < 9[/tex]
Solve the inequality for x:
[tex]x > 3 \\ 2x - 1 < 9[/tex]
Solve the inequality for x:
[tex]x > 3 \\ x < 5[/tex]
Find the intersection:
[tex]x = (5 \: . \: 3)[/tex]
Find the volume of a pyramid with a square base, where the area of the base is
5.5 cm² and the height of the pyramid is 6.4 cm. Round your answer to the nearest
tenth of a cubic centimeter.
Rounded it is 11.7 cubic cm.
Based on the graph of which statement is true?
A. The inverse of f exists.
B. The inverse of f does not exist.
Answer:
A
Step-by-step explanation:
Find the area of a rectangle whose side lengths are 4x² and 6x²– 3x.
A. 24x⁶– 12x²
B. 24x⁴ - 3x
C. 24x⁴ - 12x³
D. 20x³- 6x²
Answer:
c
Step-by-step explanation:
4x^2(6x^2-3x)
=24x^4-12x^3
Answer: C. 24x⁴ - 12x³
Step-by-step explanation:
The area of a rectangle is length × width.
4x² × (6x²– 3x) to answer this, we multiply 4x² for each term inside the parentheses.
4x² × 6x² = 24x⁴ (4 × 6 = 24 and x² × x² = x⁴)
4x² × -3x = -12x³ (4 × -3 = -12 and x² × x = x³)
So the answer is 24x⁴ - 12x³