Answer:
70 seconds
Step-by-step explanation:
Given that;
The initial velocity [tex]v_o[/tex] of the bullet fired = 1120 ft/s
Initial height h = 8 feet
The expression to determine how many seconds it takes the bullet to hit the ground is:
[tex]h = -16t^2 +v_ot + 8[/tex]
Thus;
Replacing the value of [tex]v_o[/tex] = 1120 and h = 0 (i.e. when h =0) in the above expression; we have:
[tex]0= -16t^2 +(1120)t + 8[/tex]
[tex]= -16t^2 +(1120)t + (8-0)[/tex]
= -16t² + 1120t + 8
mulitiply through by (-)
= 16t² -1120t - 8
Divide through by 8
= 2t² - 140t - 1
The above expression forms a quadratic equation.
where;
a = 2
b = -140
c = - 1
So, by using the quadratic formula [tex]\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex], we have:
[tex]= \dfrac{-(-140) \pm \sqrt{(-140)^2-4(2)(-1)}}{2(2)}[/tex]
[tex]= \dfrac{140 \pm \sqrt{19600-(-8)}}{4}[/tex]
[tex]= \dfrac{140 \pm \sqrt{19608}}{4}[/tex]
[tex]= \dfrac{140 \pm 140}{4}[/tex]
[tex]=\dfrac{140+ 140}{4} \ \ \ OR \ \ \ \dfrac{140-140}{4}[/tex]
[tex]=\dfrac{280}{4} \ \ \ OR \ \ \ 0[/tex]
= 70
Thus, the time (in seconds) it took the bullet to it the ground = 70 seconds
Ratios that are equivalent to 7/3
Answer:
14:6, 21:9, 28:12
Step-by-step explanation:
Help me please!! I can’t figure this out...
Answer:
-2
Step-by-step explanation:
-2-4/3-0=-2
you basically take the y value of the first point subtract it from the y value of the 2nd point. you do the same for the x values
Answer:
-2
Step-by-step explanation:
You can use the equation rise over run, which is basically y2-y1 over x2-x1
Y2 is -2 and y4 is 4, x2 is 3 x1 is 0
-2-4 over 3-0=-6/3=-2
i need help dont understand at all plz help fast.
Answer:
b = 22
Step-by-step explanation:
OK
So this question is actually very simple.The concept of this equation is that the question is asking how the angles will prove parrel for both lines.So we can do a alegbric equation like this:
(5b + 16) + ( b +32 ) =180 degrees
We do a 180 degrees because each angle is beside each other.Now we like this:
6b +48 =180
Then move all the nums to one side and all the variables to the other.Like this:
6b = 180 - 48
6b = 132
b = 132/6
b = 22
Hope to help.
Erla has 28 red and blue marbles. The ratio of red to blue marbles is 1:6.How many blue marbles does Erla have?
8.08 x 10^6 x 7.5 x 10-2
Answer:
=
5
2
Step-by-step explanation:
Use the GCF and the Distributive Property to find the sum. Write each number as a product using the GCF as a factor, and apply the Distributive Property. nothing 34, 51
Answer:
[tex]34 + 51 = 85[/tex]
Step-by-step explanation:
Given
[tex]34 + 51[/tex]
Required
Use GCF and distributive property to determine the sum
34 can be expressed as:
[tex]34 = 2 * 17[/tex]
51 can be expressed as:
[tex]51 = 3 * 17[/tex]
So, the GCF of both numbers is 17
[tex]34 + 51[/tex] can then be expressed as:
[tex]2 * 17 + 3 * 17[/tex]
Apply Distributive Property, we have:
[tex]17(2 + 3)[/tex]
Solving further:
[tex]17 * 5[/tex]
[tex]85[/tex]
Hence:
[tex]34 + 51 = 85[/tex]
Answer:
Step-by-step explanation: no
A kid traveled a distance of 9 km by bike, and then walked a distance of km.
a.Find the total distance traveled in terms of
b. If the total distance was less than 30 km, form an inequality in , and
then solve it!
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question;
A kid traveled a distance of 9 km by bike, and then walked a distance of x km.
a.Find the total distance traveled in terms of x
b. If the total distance was less than 30 km, form an inequality in x, and
then solve it!
a) Total distance = distance travelled by bike + distance walked
Total distance = 9km + xkm
Total distance = (9+x)km
b) If the total distance was less than 30 km, the inequality representing this is;
9+x < 30
Subtract 9 from both sides;
9+x-9 < 30-9
x < 21
hence the solution to the inequality is x< 21
please help me with this
Use a proportion to find the missing side length in the following similar figures. Please help me understand and figure out how to solve this question. Thank You! :)
Answer:
x = 4.5 m ⇒ A
Step-by-step explanation:
The sides of similar triangles are proportion, that means the ratio between the corresponding sides are equal
In the given figure
∵ The two triangles are similar
∵ 2 m and x are corresponding sides
∵ 4 m and 9 m are corresponding sides
∴ [tex]\frac{2}{x}[/tex] = [tex]\frac{4}{9}[/tex]
→ By using cross multiplication
∴ x × 4 = 2 × 9
∴ 4x = 18
→ Divide both sides by 4 to find x
∵ [tex]\frac{4x}{4}[/tex] = [tex]\frac{18}{4}[/tex]
∴ x = 4.5 m
Answer:
4.5m they are correct
Step-by-step explanation:
i am from connexus 8th grd pre algrabra
unit 5 lesson 3
1. 1:2
2. C. yes they are similar they have porportional side lengths and = ange measures
3. x = 4.5m
4. x = 30.8cm
5. x = 6 m
Area and Circumference of a circle with radius of 5 feet.
Answer:
area is 78.54 and circumference is 31.42
Step-by-step explanation:
Answer:
Area- 78.5 square feet
Circumference- 31.40
Step-by-step explanation:
Formula for Area of Circle:
Area = [tex]pi[/tex] x radius²
or
Area= pi x d
Formula for Circumference of a circle:
2 x pi x r
Radius= half the Diameter
D= diameter
R= radius
Pi= 3.14
I WILL GIVE BRAINLYEST iF YOU ANSWER CORRECTLY
6÷3+9^2-4
Answer:
79
Step-by-step explanation:
i am 100% sure that it's correct
Answer:
the answer is 79
Step-by-step explanation:
hope this helps
can someone find the area? ILL LOVE YOU, LITERALLY. Love you ✌
Answer:
12 units²
Step-by-step explanation:
ABCD is a parallelogram.
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 12 and h = 1, thus
A = 12 × 1 = 12 units²
ASAP
Can someone please helppp
Answer:
Option 4
Step-by-step explanation:
HURRY I NEED HELP SOON
Rodrigo is taking a road trip. He plans to drive 2,471 miles, with an average of 230 miles per day.
Which equation represents Rodrigo's remaining miles, y, in terms of the number of days, x?
a. y= 230x +2,471
b. y= -230 +2,471
c. y= 2,471x + 230
d. y= 2,471x - 230
Answer:
(Sorry in advance if its wrong so don't get mad) but I think its d
Step-by-step explanation:
help i will give brainlist.
Answer:
3m^4
Step-by-step explanation:
the third one
Answer:
The third option
Step-by-step explanation:
Exponents are the little numbers up and to the right. None of the other options have a little number (exponent) of 4
Write an equation in POINT-SLOPE FORM of the line that has an x-intercept of -3 and a y-intercept of -2. hurryyy if u dont know leave it alone cus i need this fr
Answer:
y=1/2-3-2
Step-by-step explanation:
y-int is -2
x int is -3
Jessica earns 800 each month working a part time job. she wants to save a total of 2,400 for collage over a one- year period. what percentage of Jessica's total monthly budget should go to her collage savings to meet her goal
Answer:
25%
Step-by-step explanation:
Given parameters:
Amount earned by Jessica per month = 800
Total savings target per year = 2400
Unknown:
Percentage of savings = ?
Solution:
The total earning per year will be the amount earned per month multiplied by the total number months;
Amount earned in a year = 12 x 800 = 9600
Let the percentage of savings per year = y%
Now;
2400 = [tex]\frac{y}{100}[/tex] x 9600
y = 25%
Broo please help me omg
Answer:
9. -2
10. 0
Step-by-step explanation:
It is not undefined because the slope of horizontal lines are 0
The soccer players in the 12th grade class had a scrimmage. They spent $150 on
fixing the practice fields. The equation show can be used to find the total profit, y, if
the students sold x tickets to the game.
y = 3x - 150
What does the 3 represent?
the price per ticket
the cost of the concession stand
the profit made for selling x tickets
the number of tickets sold
Answer:
The price per ticket
Step-by-step explanation:
It can't be the cost of the concession stand because it would've been negative since it's costing them to get the stand.
Can't be the profit made because its the y.
Can't be the number to tickets sold since that's the 3x.
This might not make sense
Name the triangle with the following characteristics. Sides: 5 cm, 5 cm, 7 cm.
a. equilateral triangle
b. right triangle
c. isosceles triangle
d. scalene triangle
Answer:
[tex]\boxed {\boxed {\sf Isosceles \ triangle}}[/tex]
Step-by-step explanation:
An equilateral triangle has 3 equal sides and angles.
A right triangle contains one right or 90 degree angle.
An isosceles triangle has 2 equal sides and base angles.
A scalene triangle has no equal sides or angles.
The triangle given has the sides of 5 cm, 5 cm, and 7 cm.
Therefore, 2 of the sides are equal and this must be an isosceles triangle.
How do you write 86.2 in scientific notation?
x 10
Submit
A closed adoption means you are able to communicate with teh adoptive parents and see your biological child after the adoption.
True
False
Answer:
False because ur not allowed to see the child
5x^4-7(-x)
Would the simplified version of this be 5x^4+7x?
Answer:
5x⁴ + 7x or x(5x³ + 7 )
Step-by-step explanation:
Given expression:
5x⁴ - 7(-x )
To simplify this expression, we have to follow the order of operation PEMDAS;
Parentheses, Exponents, Multiplication, Division, Addition and Subtraction
5x⁴ - 7(-x ) = 5x⁴ + 7x
Since x is common to both terms;
= x(5x³ + 7 )
So the simplified version can be 5x⁴ + 7x or x(5x³ + 7 )
6. Just because a diet is popular does not mean it is safe and effective. True False
HELP FAST!
Not really math its PE
Answer:
true
Step-by-step explanation:
the answer is true hope this helps
Please help me I need this done it’s timed
Answer:
the 1st one should be the 2rd one
Step-by-step explanation:
What is 5.790 divided by 2.3
Answer:
Step-by-step explanation:
5.790/2.3=2.5173913
Answer:
2.51739130435
Step-by-step explanation:
Craig just purchased a new car. He financed $45000 and must pay it back over 5 years with 11% interest. a) How much will craig have paid in interest by the time his car is paid off? b) How much will he have paid for his car, including interest, after 5 years?
Answer:
49950
Step-by-step explanation:
111% of 45000 is 49950
Answer:
The amount Craig financed at the beginning(P) = 45000
Number of years he took to repay(T) = 5
Rate of interest(R) = 11%
Total interest he paid = PTR/100
= 45000(5) (11) / 100
= 450 × 55 = 24,750
Therefore Craig will have paid $24,750
Step-by-step explanation:
Laron is thinking about majoring in business in college because with a bachelor's degree the starting salaries are about $45,000 per year. If a master's degree will allow him to start out at about 15 percent higher, how much can he expect his starting pay to be with a master's degree?
Answer:
$6750 per year
Step-by-step explanation:
15% / 100 = 0,15
0,15 x $45,000 = $6750 he will get per year
3,998-(-7)
Please i need help
Answer:
4005
Step-by-step explanation:
CAN SOMEONE PLEASEE HELP !!!! Find values of X and Y