Answer:
Step-by-step explanation:
In exponent multiplication, if base is same, then add the powers
[tex](7 * 7) * (10^{-6}*10^{-6})= 49 * {10^{(-6) + (-6)}\\\\=( 4.9*10^{1} )* 10^{-12}\\\\= 4.9 * 10^{1 + (-12)}\\\\= 4.9 * 10^{-11}[/tex]
To begin a basketball game, a referee msut toss the ball vertically into the air. This process can be modeled by the equation h(t) = -16t^2+22t+6, where h represents the ball's height (in feet) after t seconds. Determine the time interval (in seconds) in which the height of the basketball is 8 feet. Round your answer to the nearest thousandth of a second
Answer:
1.277s and 0.098s
Step-by-step explanation:
Given the height of the ball modelled by the equation
h(t) = -16t^2+22t+6, where;
t is the time in seconds
To calculate the time interval (in seconds) in which the height of the basketball is 8 feet, we will simply substitute h(t) = 8 into the expression and calculate t as shown;
8 = -16t^2+22t+6
Divide through by 2
4 = -8t^2+11t+3
-8t^2+11t+3-4 = 0
8t^2-11t+1 = 0
t = 11±√11²-4(8)/2(8)
t = 11±√121-32/16
t = 11±√89/16
t = 11±9.43/16
t = 11+9.43/16 and t = 11-9.43/16
t = 20.43/16 and t = 1.57/16
t = 1.277s and t = 0.098s
Hence the time interval to the nearest thousands are 1.277s and 0.098s
Rotate AXYZ 270° about the origin, (0,0).
Answer:
The rule for a rotation by 270° about the origin is (x,y)→(y,−x) .
Will give brainliest.
Answer:
y = -2/3x +3
Step-by-step explanation:
Given g(x) = x4 + 2x3 - 7x2 - 8x + 12. When g(x) is divided by x - 1, which conclusion about g(x) is true?
1.9(1) = 0
2.9(-1) = 0
3.x + 1 is a factor of g(x).
4. No conclusion can be made regarding g(x).
Answer:
g(1) = 0
There is a remainder of 10 so you can automatically cross out 3 and 4.
When [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0
The given equation is:
[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
x- 1 is a factor of [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] only if g(1) = 0
Let us find g(1) by substituting x = 1 into [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]
[tex]g(1) = 1^4+2(1^3)-7(1^2)-8(1)+12\\\\g(1) = 1 + 2 - 7 - 8 + 12\\\\g(1) = -12 + 12\\\\g(1) = 0[/tex]
Therefore, when [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0
Learn more here: https://brainly.com/question/24437791
rewrite the equation in slope intercept form : y - 3 = 4(x+2)
Answer: y=4x+11
Step-by-step explanation:
Find the gradient of the line segment between the points (-4,-5) and (2,-4).
Give your answer in its simplest form.
Answer:
1/6
Step-by-step explanation:
gradient= change in y/ change in x
-4--5/2--4= 1/6
1/6 is the gradient
The gradient of the line segment in its simplest form is: 1/6.
What is the Gradient of a Line Segment?Gradient of a line segment = slope.Slope (m) = change in y / change in x.Given the following points, (-4,-5) and (2,-4) are on a line segment:
Gradient (m) = change in y / change in x
Gradient (m) = (-4 -(-5))/(2 -(-4))
Gradient (m) = 1/6
Therefore, the gradient of the line segment in its simplest form is: 1/6.
Learn more about gradient of a line segment on:
https://brainly.com/question/1413251
When making pasta dishes, 10 pounds of pasta makes 60 meals. How many pounds of pasta are needed to make 750 meals?
Please help!!!!!!!!!!
Answer:
D
Step-by-step explanation:
the best answer may be D because 9/3 =3 3×5=15
ARIANA Y SU FAMILIA HAN CONCRETADO UN PROYECTO FAMILIAR DENOMINADO INTALACION DE UNA GRANJA RN LA QUE CREIAN CORDONICES . ELLOS VENDEN LOS HUEVOS EN CAJA DE 20 UNIDADES . SI LA ULTIMA VEZ VENDIERON 27CAJAS ¿CUANTOS VENDIERON EN TOTAL?
Answer:
540 unidades
Step-by-step explanation:
De la pregunta,
Los huevos se venden:
1 caja = 20 unidades
La última vez que vendiste 27 cajas. Por lo tanto,
1 caja = 20 unidades
27 cajas = x unidades
Cruz multiplicar
x = 27 × 20 unidades
x = 540 unidades.
Por lo tanto, se vendieron 540 unidades de huevos en total.
Addy is buying a new pair of aeropostale jeans for $40. They are on sale for 25% off. what is the sale price of the jeans?
Answer:
Step-by-step explanation:
40*25%= 10 off
40-10= $30.00 sale price
What is the y-intercept and x-intercept of 2x + y = 10x - 1
Answer:
Wait I only see the part where it says “what is the y-intercept and x-intercept of” but I don’t see an equation :/
Step-by-step explanation:
A point is rotated 270° about the origin. The image of the point is (-11,7). What are the coordinates of the preimage?
Choose the correct answer below.
O A. (11)
B. (7. - 11)
O C. (11,7)
OD. (-7, -11)
PLEASE HURRY
Answer:
The correct answer is C(11,7)
Step-by-step explanation:
I had this question and got it right lol
The required coordinates of the preimage are (-7, 11) when the point is rotated 270° about the origin.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
We have been given that a point is rotated 270° about the origin. The image of the point is (-11,7).
The coordinates of the preimage would be :
x = x cos θ + y sin θ
y = x sin θ + y cos θ
Here x = -11 ,y = 7 and θ = 270°
Substitute the values in the above equations,
x = (-11) cos 270° + 7 sin 270° = -7
y = (-11) sin 270° + 7 cos 270° = 11
Therefore, the required coordinates of the preimage are (-7, 11).
To learn more about the transformations click here :
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It takes 3 2 ⁄6 spoons of chocolate syrup to make 2 3 ⁄5 gallons of chocolate milk. How many spoons of syrup would it take to make 4 gallons of chocolate milk?
Answer:
Step-by-step explanation:
This is a proportion question.
change 2.6 to a decimal. 2/6 = 1/3 = 0.3333333
change 3/5 to a decimal 3/5 = 0.6
3.3333 / 2.6 = x / 4 Cross multiply
4*3.33333 = 2.6x Combine the left.
13.33333= 2.6x Divide by 2.6
13.3333/2.6 = x
x = 5.128 spoons of syrup.
what is simplified expression for the expression below? 4(x+8)+5(x-3)
A) 9x+5
B) 9x+11
C)9x+17
D) 9x+47
4(x+8)+5(x-3)
4x+32+5x-15
9x+17
Factoriza la siguiente expresión 25
x2−4
Answer:
english pls
Step-by-step explanation:
Write the equation that models the linear relationship
Answer:
is it degrees
Step-by-step explanation:
?
Please help me i don't understand. I will give points for explanation too.
Answer:
The first one
Step-by-step explanation:
4x - 3y = 15 .first you subtract the 4x from both sides to get it in correct form
-3y = -4x + 15 . Then you divide both sides by -3 to isolate the y
y = 4/3x - 5 . Then you are left with this answer
Answer:
y = 4/3x - 5 (first answer on your photo)
Step-by-step explanation:
4x - 3y = 15
4x - 3y = 15 (we use -4x)
-3y = 15 - 4x (divide by -3)
y = 4/3x - 5
Which equation is graphed below? On a coordinate plane, a hyperbola has a curve in quadrant 2 and a curve in quadrant 4. The curve in quadrant 2 enters the grid line at (negative 3, 1) and (negative 0.5, 6). The curve in quadrant 4 enters the plane at (0. 5, negative 6) and (3, negative 1). y = –StartFraction 3 Over x EndFraction y = StartFraction 2 over x EndFraction y = –2square root of x y = 3square root of x
Answer:
I think the answer is D.
Step-by-step explanation:
thats what i think at least
Answer:
D. y = 3square root of x
Step-by-step explanation:
Which of these angles listed is vertical to Which of these angles listed is a linear pair to
What two integers are between the square root of 38
Answer: 38 is not a perfect square.
square root of 38 is 6.164
Step-by-step explanation:
it is between 6 and 7
Answer:
6 and 7
Step-by-step explanation:
Choose the closest perfect squares either side of 38, that is
36 < 38 < 49 , then
[tex]\sqrt{36}[/tex] < [tex]\sqrt{38}[/tex] < [tex]\sqrt{49}[/tex] , that is
6 < [tex]\sqrt{38}[/tex] < 7
please help and hurry
Answer:
3,2
Step-by-step explanation:
Mind maps are a great way of
erica solved the equation -5x - 25 = 78; her work is shown below. Identify the error and were it was made
-5x - 25 = 78
Step 1:-5x - 25 -25 = 78 - 25
Step 2: -5x = 53
Step 3:-5x/-5 = 53/-5
step 4: x = -53/-5
a step 1: She should have added 25 to each side
b step 1: She should have divided both sides by -5.
c step 3: She should have divided both sides by -5.
d step 3: She should have multiplied both sides by -5.
Answer:
A
Step-by-step explanation:
It's A because she subtracted a negative and that only make a bigger negative where she should have added
What would this be? PS it's multiple choice.
Answer:
I think it would be A. the first one
Step-by-step explanation:
tell me if it was correct if it wasnt im sorry hope i dont mess u up
Y=2x+6
3y-x+3=0
Substitute to solve
Brainliest for correct answer
Answer:
-21/5 or -4.2
Step-by-step explanation:
y = 2x + 6
3y - x + 3 = 0
Substitute the value for y from the first equation into the second equation. Solve for x.
3y - x + 3 = 0
3(2x + 6) - x + 3= 0
6x + 18 - x + 3 = 0
5x + 18 + 3 = 0
5x + 21 = 0
5x + 21 - 21 = 0 - 21
5x = -21
x = -21/5 or -4.2
Please look at the slope and write the equation for each problem...
Answer this correctly, troll and you will get reported.
Answer:
7. y-1=4(x-2)
y-1=4x-8
y=4x-7
8. y-2=6(x--7)
y-2=6x+42
y=6x+44
11. y-3=2(x-1)
y-3=2x-2
y=2x+1
12. y-4=-1(x-1)
y-4=-x+1
y=-x+5
I NEED THE ANSWER NOW
Which weighs more a 20 pound turkey or 320 ounces of turkey stuffing? How do you know?
Answer:
They are equal
Step-by-step explanation:
320 oz is 20 pounds:))
HEYO! so i have this problem that needs to be solved and not feeling good doesn't help either lol. So here it is....
what is 14/25 in simplest form?
Answer:
0.56
Step-by-step explanation:
Answer:
14/25
Step-by-step explanation:
Because you cant divide both of them by the same number.
how do you turn 0.03 into a fraction if the 3 is repeating
Answer:
it is 1/30
Step-by-step explanation:
Lets say x =0.03 repeating
100x=3.3333....
- 10x=0.333....
_____________
90x=3
Then divide both sides by 9 to get x:
x=3/90
simplify:
x=1/30
can somebody help me with this please.
I don't know what number 1 and number 2 mean,
3：11
4
5：-3
6：-8
You can find the answer below. Among the questions I answered correctly, I hope to adopt it at the end. Thank you. Have a nice day.