Answer:
{t: 0.6 < t < 99.4}.
Step-by-step explanation:
Use one of the equations of motion under gravity.
s = ut + 0.5gt^2 where s = distance, u = initial velocity, g = acceleration due to gravity and t = the time.
So we have:
1000 = 1600t + 0.5* -32*t^2 ( acc due to gravity is negative as we are acting against it).
16t^2 - 1600t + 1000 = 0
t = (1660 +/- sqrt(1600^2 - 4*16*1000) / 32
This gives t = 0.629 , 99.371 seconds.
So the time is above 0.6 seconds (to the nearest tenth) and before 99.4 seconds.
Solve for x.
2x/3 +1=3
O x =6
O x =3
O x = 1 1/3
O x = 2 2/3
Answer:
3......................
Answer:
X=3!
Let's solve your equation step-by-step.
Step 1: Simplify both sides of the equation.
Step 2: Subtract 1 from both sides.
Step 3: Multiply both sides by 3/2.
Answer:
x=3
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
5. Explain what the solution means in the context of the word problem.
Answer:
C is the inequality
Hope it's help :D
Step-by-step explanation:
For question
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
Please solve with explanation
Answer:
Hope it helps you.......
A steel plate has the form of one-fourth of a circle with a radius of 54 centimeters. Two two-centimeter holes are drilled in the plate, positioned as shown in the figure. Find the coordinates of the center of each hole.
top hole
x = 38 cos 60
y = 38 sin 60
bottom hole
x = 38 cos 30
y = 38 sin 30
The coordinate of holes is (43.3, 25) and (25, 43.3).
CircleIt is a special kind of ellipse whose eccentricity is zero and foci are coincident with each other. It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Given
A steel plate has the form of one-fourth of a circle with a radius of 54 centimeters.
Two 2 centimeter holes are drilled in the plate.
To findTwo 2 centimeter holes are drilled in the plate, positioned.
How to find the position of holes?Holes are at 50 cm from the center at an angle of 30 and 60 degrees.
So the coordinate will be given by
[tex]\rm x = r\ cos \theta \ \ \ \ \ \ \ \ y = r\ sin \theta[/tex]
Then for the first hole r = 50, at 30 degrees,
[tex]\begin{aligned} & \rm x = r\ cos \theta \ \ \ \ \ \ \ \ & \rm y = r\ sin \theta\\& \rm x = 50 *cos30 \ \ \ \ \ \ \ \ & \rm y = 50 sin30\\& \rm x = 43.3 \ \ \ \ \ \ \ \ & \rm y = 25\\\end{aligned}[/tex]
For the second hole r = 50, at 30 degrees,
[tex]\begin{aligned} & \rm x = r\ cos \theta \ \ \ \ \ \ \ \ & \rm y = r\ sin \theta\\& \rm x = 50 *cos60 \ \ \ \ \ \ \ \ & \rm y = 50 sin60\\& \rm x = 25 \ \ \ \ \ \ \ \ & \rm y = 43.3\\\end{aligned}[/tex]
Thus the coordinate of holes is (43.3, 25) and (25, 43.3).
More about the circle link is given below.
https://brainly.com/question/11833983
solve 4(2x-5)=5x+4 pls
Answer:
x=8
Step-by-step explanation:
4(2x-5)=5x+4
Distribute
8x -20 = 5x+4
Subtract 5x from each side
8x -20 -5x = 5x+4-5x
3x-20 = 4
Add 20 to each side
3x-20+20 = 4+20
3x = 24
Divide by 3
3x/3 =24/3
x=8
the net force on a
rock with a mass of 20 kg is
19.6 N. What is the accelera-
tion of the rock?
ABCD is a rectangle and AC and BD are its diagonals. If AC = 10 cm, then BD is?
A. 10 cm
B. 5 cm
C. 15 cm
Or D. 20 cm
Lemme know, take ur timeee
Answer:
A. 10 cm
Step-by-step explanation:
In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.
Hope this helps!
What is the value of the expression3+3⋅72−9⋅103+3⋅72−9⋅10 ?
-7.763 will be the total to the answer.
The average height of a population is unknown. A random sample from the population yields a sample mean of x¯=66.3 inches. Assume the sampling distribution of the mean has a standard deviation of σx¯=0.8 inches. Use the Empirical Rule to construct a 95% confidence interval for the true population mean height.
Answer:
(64.7, 67.9)
Step-by-step explanation:
(66.3-2*08, 66.3+2*0.8)
(66.3-1.6, 66.3+1.6)
(64.7, 67.9)
d/dx (sin^3 x) = d/dx (sinx sinx sinx) = ?
1. cos x sin^2x
2. 1+2 sin^2x cos x
3. 3 sin^2x cos x
4. 2 sinx cos x+sin^2x cos x
5. 2 cos x sin^2x+ sin x cos x
Step-by-step explanation:
1)2*(Cos(x)^2*Sin(x))-Sin(x)^3
2)4*(Cos(x)^2*Sin(x))-2*Sin(x)^3
3)6*(Cos(x)^2*Sin(x))-3*Sin(x)^3
4)2*Cos(x)^2+2*(Cos(x)^2*Sin(x))-2*Sin(x)^2-Sin(x)^3
5)Cos(x)^2+4*(Cos(x)^2*Sin(x))-Sin(x)^2-2*Sin(x)^3
translate the sentence into an inequality.
The product of w and 8 is greater than or equal to -16.
The inequality would be 8w≥-16
Answer:
8w ≥ -16
It's pretty simple.
Product means it has something to do with multiplication.
≥ This is the greater than or equal to sign.
what is the lcm of 9 and 12
Hi there! To find the LCM of 9 and 12, let's first list some of their multiples.
9: 9, 18, 27, 36, 45, 54, 63, 72, 81...
12: 12, 24, 36, 48, 60, 72, 84...
Do you see what I see? The LCM is 36. Hope this helps!
~Just an emotional teen who listens to her favorite songs
[tex]SilentNature[/tex]
please help I dont understand
Answer:
I dont know The answer sorry
Step-by-step explanation:
Answer: 2
Step-by-step explanation: The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
Lee has 14 strawberry scones and 21 Raspberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of Strawberry scones and an equal number of Raspberry scones. What is the greatest number of bags Lee can fill? Explain how you know.
Answer:
SORRY I DON'T KNOW THE ANSWER BUT I LOVE YOUR PROFILE PICTURE LUFFY IS THE BEST <3 :D
Complete the conjecture based on the pattern you observe in the examples below:
Conjecture: The sum of any two odd numbers is ___
1 + 1 = 2 9 + 11 = 20
1 + 5 = 6 13 + 21 = 34
7 + 9 = 16 101 + 103 = 204
Conjecture: The product of any two numbers is ___
1 . 1 = 1 9 . 11 = 99
1 . 3 = 3 13 . 11 = 143
3 . 7 = 21 101 . 103 = 10,403
Conjecture: The product of a number (x-1) and the number (x+1) is always equal to ___
3 . 5 = 4² - 1 7 . 9 = 8² - 1
4 . 6 = 5² - 1 6 . 8 = 7² - 1
5 . 7 = 6² - 1 8 . 10 = 9² - 1
Step-by-step explanation:
the writing and spacing of the problem description is difficult to understand.
but there is no mystery. look at the examples.
all of them
3×5 = 15 = 16 - 1 = 4² - 1
4×6 = 24 = 25 - 1 = 5² - 1
5×7 = 35 = 36 - 1 = 6² - 1
6×8 = 48 = 49 - 1 = 7² - 1
7×9 = 63 = 64 - 1 = 8² - 1
8×10 = 80 = 81 - 1 = 9² - 1
so, what does this look like ?
(x-1)×(x+1) is always equal to (x² - 1)
Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest
Big bag don't mean everything wavy
I got 99 problems like Jay Z
Caught a felony judge tried to slave me
Lost my grandmother R.I.P Mavy
I got money and move shady
What is the formula for distance?
Answer:
Hope my answer helps you mark me brianliest plz
Step-by-step explanation:
d =√(x2-x1)+(y2-y1)
SCALENE
EQUILATERAL
ISOSCELES
Answer:
Isosceles triangle
Step-by-step explanation:
An isosceles triangle is a triangle with 2 equal sides, and in this given figure, we can see that it has been marked to show us that two sides are equal, so isosceles is the answer.
Answer:
isosceles triangle
Step-by-step explanation:
From the picture, we know that two sides are equal.
If two sides are equal, then it is an isosceles triangle
May I please receive help?
Please
Answer:
A) F=25°
B) AB=12
work out x when the area is root 4 2^2 and angle C is 45 and ab are (x+2)(2x-3)
Answer:
x = 3.08
Step-by-step explanation:
Area formula:
A = 1/2bhThe height is:
h = (x + 2)sin 45° = (x + 2) ×√2/2Substitute the value for area and set equation:
4√2 = 1/2 × (2x - 3) × √2(x + 2)/2(2x - 3)(x + 2) = 162x² + x - 6 = 162x² + x - 22 = 0D = 1 + 4*2*22 = 177x = (-1 + √177)/4 = 3.08 (rounded)Note the second root ignored as negative
Answer:
x = 3.08 (3 s.f.)
Step-by-step explanation:
Area of a Triangle (using sine)
[tex]\sf Area=\dfrac{1}{2}ac \sin B[/tex]
where:
a and c are adjacent sidesB is the included angleGiven:
Area = 4√2 m²a = (2x - 3) mc = (x + 2) mB = 45°Substitute the given values into the formula:
[tex]\implies 4\sqrt{2}=\dfrac{1}{2}(2x-3)(x+2) \sin 45^{\circ}[/tex]
[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \sin 45^{\circ}[/tex]
[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \left(\dfrac{\sqrt{2}}{2}\right)[/tex]
[tex]\implies 8\sqrt{2}\left(\dfrac{2}{\sqrt{2}}\right)=(2x-3)(x+2)[/tex]
[tex]\implies (2x-3)(x+2) =16[/tex]
[tex]\implies 2x^2+4x-3x-6=16[/tex]
[tex]\implies 2x^2+x-22=0[/tex]
Use the Quadratic Formula to solve for x:
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
[tex]\implies a=2, \quad b=1, \quad c=-22[/tex]
[tex]\implies x=\dfrac{-1 \pm \sqrt{1^2-4(2)(-22)} }{2(2)}[/tex]
[tex]\implies x=\dfrac{-1 \pm \sqrt{177}}{4}[/tex]
[tex]\implies x=3.08, -3.58\:\: \sf (3 \:s.f.)[/tex]
As distance is positive:
[tex]\implies x=3.08 \:\:(3 \sf \:s.f.) \:\textsf{only}[/tex]
If the f(x)=2x-1 and g(x)=x^2-1 find what the g(f(a-1)) is
Answer:
GOOD LUCK ON YOUR TEST YOU WILL DO GOOD
Step-by-step explanation:
Which models show the problem 4
6
÷ 2
6
= 2? Check all that apply.
An area model has 4 shaded parts and 2 unshaded parts. 2 circles are each drawn around 2 shaded parts.
A number line going from 0 to 1. An arrow goes from 0.6 to 0.4, and from 0.4 to 0.
A fraction bar. The top bar is labeled 1. 6 bars underneath the bar are labeled one-sixth. 4 of the bars are circled.
An area model has 2 shaded parts and 4 unshaded parts. The 2 shaded parts are circled.
Answer:
the second and last sentences.
Step-by-step explanation:
Its the most reasonable!
Answer:
It is accutally 1st 2nd and 3rd plz trust me
Step-by-step explanation:
it is the corect
solve please ;3 ( will give brainliest ♡ )
what is the equation for the line that is parallel to the y-axis and passes through the point (2, -5)?
Answer:
X = 2
Step-by-step explanation:
alguien me ayuda????
What do you need help with?
Line segment RS has endpoints R (-2, 4) and S (-4, -1).
Line segment R''S'' has endpoints R'' (3, -3) and S'' (5, 2).
Name the transformation that maps line segment RS to line segment R''S''.
Answer:
rotation 180° (ccw) over point (0.5 , 0.5)
Step-by-step explanation:
R (-2, 4) , S (-4, -1) -> R'' (3, -3) , S'' (5, 2)
check: rotation over (0.5,0.5) 180°
x'' = - (x - x₀) + x₀ .. x: original x coordinate, x₀ : center of rotation
y" = - (y - y₀) + y₀
for R" : x" = - (-2 - 0.5) + 0.5 = 3
y" = -(4 - 0.5) + 0.5 = -3
You can verify the coordinates of S" by the above formula.
** (0.5,0.5) is the intersect of RR" and SS"
Find an equivalent system of equations for the following system:
2x + 4y = 4
−5x + 5y = 5
A. 2x + 4y = 4
−3x + y = −1
B. 2x + 4y = 4
7x + 5y = −1
C. 2x + 4y = 4
7x − y = 5
D. 2x + 4y = 4
7x − y = −1
A book has 5 pages,10 copies of the same books will be made .How many pages will be printed?
Answer:
50
Step-by-step explanation:
5 pages * 10 copies = 50 pages
Distribute: -(14s+9)-7(s+11)
Answer: -21s-86
Step-by-step explanation:
Distribute the -1 to the 14s+9 (this means multiply-1 and 14s, then multiply -1 and 9) to get -14s-9. Then distribute the -7 to the s+11 (this mean multiply -7 and s, then multiply -7 and 11) to get -7s-77. You will now have the equation -14s-9-7s-77. Simplify this by adding like terms (-14s-7s) and (-9-77) you will get the equation: -21s-86
Distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86
From the question,
We are to distribute -(14s+9)-7(s+11)
To do this,
We will clear the bracket by distributing the terms outside
That is,
-(14s+9)-7(s+11) becomes
-14s -9 -7s -77
Now, if desired, we can simplify further by collecting like terms
-14s -9 -7s -77
-14s -7s -9 -77
Then, we get
-21s -86
The simplified expression is -21s -86
Hence, distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86
Learn more here: https://brainly.com/question/11854155
help me pleaseeeeeeeee
Answer:
Open your dictionary, Find the word you are looking for and reread the Sentence and find the right definition that BEST fits the Sentence
Thank me Later :D
Step-by-step explanation: