Answer:
t = 6.15 seconds
Step-by-step explanation:
A ball is thrown upward with an initial velocity of 35 meters per second from a cliff that is 30 meters high. The height of the ball is given by the quadratic equation h=-4.9t^2+35t+30 where h is in meters and t in the time in seconds since the ball was thrown, find the time it takes the ball to hit the ground. Round you answer to the nearest tenth of a second.
-----------------
h(t) =-4.9t^2+35t+30
----
When the ball hits the ground its height is zero.
So, solve -4.9t^2+35t+30 = 0
Use the quadratic formula:
t = [-35 +- sqrt(35^2-4*-4.9*30)]/(2(-4.9))
----
t = [-35 +- sqrt(637)]/(-9.8)
---
To get a positive solution:
t = [-35-25.24]/(-9.8)
t = 6.15 seconds
========================
Answer:
The ball hits the ground when h(t) (the height) is equal to 0.
0=-4.9t^2+30t
0=t(-4.9t+30)
t=0 and t=6.1224…
So, the ball hits the ground when it is thrown (0 seconds) and after about 6.1224 seconds.
:)
Marco is making a kite, using sticks for its diagonals. One stick is 2 feet long and the other is 3 feet long. How much material will Marco need to make the kite? 2 square feet 3 square feet 4 square feet 6 square feet.
Answer:
3 square feet
Step-by-step explanation:
Got it right because of the answer above :)
Marco will need 3 square feet of material to make the kite.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can use the formula for the area of a kite, which is:
A = (1/2) x d1 x d2
where d1 and d2 are the lengths of the two diagonals.
In this case,
d1 = 2 feet, and d2 = 3 feet.
Substituting these values into the formula, we get:
A = (1/2) x 2 feet x 3 feet
= 3 square feet
Therefore,
Marco will need 3 square feet of material to make the kite.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ7
I need help with these 3 questions. No links, please.
Answer:
Q9: C.
Since each smaller line counts as 1/5, you can simply start from the point 1 and count 3 times to reach D.
[tex]3*\frac{1}{5} =\frac{3}{5}[/tex]
Since you started at 1, you can add [tex]1+\frac{3}{5} =1\frac{3}{5}[/tex]
Q10: B
We can subtract/ignore 3 from all of them to make things simpler.
Now, we need to find the lowest value to greatest from:
[tex]\frac{5}{8}, \frac{7}{16} ,\frac{1}{2}[/tex]
In order to compare these, we make the denominators the same (in this case: 16)
[tex]\frac{5}{8} =\frac{5*2}{8*2} =\frac{10}{16}[/tex]
[tex]\frac{7}{16} =\frac{7}{16}[/tex]
[tex]\frac{1}{2} =\frac{1*8}{2*8} =\frac{8}{16}[/tex]
Since 7 is the smallest value, followed by 8 and lastly 10,
the smallest to greatest in order would be
[tex]\frac{7}{16} ,\frac{1}{2} ,\frac{5}{8}[/tex] (B)
11: C
If you look at both [tex]\frac{2}{4}[/tex] and [tex]\frac{5}{8}[/tex], they are not directly above one another. Hence, they are not equal.
I'll mark u as brainliest pls help with these 2 questions
Answer:
3, 10
Step-by-step explanation:
1.
5x-1=14 ->
5x=15 ->
x=3.
2.
15+3x=45 ->
3x=45-15=30 ->
3x=30 ->
x=10.
Hope that help! :)
Answer:
1.) x=3
2.)x=10
Step-by-step explanation:
for the first problem you would add 1 to both sides, and you would get 5x=15, then you would divide both sides by by 5 to get x by itself. 5x/5=x and 15/5=3, so x=3. you can also plug it in. 5(3)-1=14
for the second one you wpuld subtract 15 from both sides, and you would get 3x=30. divide both sides by 3 which is x=10. plug it in, 15+3(10)=45.
Using the remainder theorem, find F(2) for the polynomial function
F(x) = 3x3 - 5x2 + 13x - 19.
Find the slope line (3,-8) and (-5,2)
Answer:
y2 - y1 / x2 - x1
-8 - 2 / 3 - (-5)
-10 / 8
-5 / 4
P = (x < x <5)
List the element of this set given
Set x<5 = sagutan mo apapapdifuv
The recipe for grandmas famous apple pie calls for 2 cups of flour 1 egg and 3/4 cup of sugar. You accidently use 1 cup of sugar. To keep the quantities proportional how many cups of flour and eggs do you need?
Answer:
I think 2 1/2 for flour and 2 eggs
Find the 59th term of the arithmetic sequence 26, 17, 8, ...26,17,8,
Step-by-step explanation:
arithmetic sequence means that every new term is created by adding a certain constant to the previous term.
we clearly see, that constant here is -9.
we start with 26.
a1 = 26
a2 = a1 - 9 = 26 - 9 = 17
a3 = a2 - 9 = a1 - 2×9 = 26 - 18 = 8
so, we see
an = an-1 - 9 = a1 - (n-1)×9 = 26 - (n-1)×9
a59 = 26 - 58×9 = -496
SIMPLE INTEREST:
Jessie deposited P150,000 in an account that pays 3% simple interest.How much interest will he earn after 10 years?
Answer:
use the formula( I=PTR/100)
Evaluate 7P4 and 10C6 .
solve pls brainliest
Answer:
I=Prt
(I= interest
P=principle amount
r=rate per year in decimal form
t=time period)
●I = Prt
I = 8000×(2/100)×6
I = 8000×0.02×6
I =$960
BRAINLIST PLS
tell the number of decimal places that will be in the product
1. 6.3×0.75=___
2. 9.7×48.8=____
3. 5.96×62.15=___
4. 37.6×8.3=____
Answer:
3242Step-by-step explanation:
The number of decimal places in the product is the sum of the numbers of decimal places in the factors.
1. the factors have 1 and 2 decimal places, so the product will have 1+2 = 3 decimal places.
2. 1 + 1 = 2 decimal places in the product
3. 2 + 2 = 4 decimal places in the product
4. 1 + 1 = 2 decimal places in the product
_____
Additional comment
If the factor has m decimal places, the place value of its least-significant digit is 10^-m. Similarly, if the factor has n decimal places, the place value of its least-significant digit is 10^-n. When these numbers are multiplied, the place value of the least-significant digit of the product is (10^-m)(10^-n) = 10^-(m+n). That is, there will be m+n decimal places in the product.
Note that the product in problem 3 is 370.4140. That is, the least-significant digit of the product is zero. Many calculators will not show that zero, giving the (false) impression that the product has only 3 decimal places.
Answer:
4.725
2.473.6
3.370.414
5.312.08
Step-by-step explanation:
Which number is a zero of the given function?
g(x) = (x^2– 36) (x + 7)
The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.
To find the zeros of the function g(x) = (x² - 36)(x + 7), we need to identify the values of x that make the entire function equal to zero.
For a function to be equal to zero, at least one of its factors must be zero. Therefore, we set each factor to zero and solve for x:
Setting the first factor, x² - 36, to zero:
x² - 36 = 0
Now, add 36 to both sides of the equation:
x² = 36
Next, take the square root of both sides:
x = ±√36
x = ±6
Setting the second factor, x + 7, to zero:
x + 7 = 0
Now, subtract 7 from both sides of the equation:
x = -7
The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.
Learn more about zeros of the function from the link given below.
https://brainly.com/question/31654189
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Which situation can be modeled by the inequality 65-8x>9
Answer:
x<7
Step-by-step explanation:
65-8x>9
-8x>9-65
-8x>-56
x<7
Answer:
x<7
Step-by-step explanation:
65-8x>9
-8x>9-65
-8x>-56
x<7
If y=-2 then 2y-1 equals
Answer:
-5
Step-by-step explanation:
Plug the first equation into the expression
2y-1 = 2(-2) - 1 = -4 - 1 = -5
Answer:
-5
Step-by-step explanation:
2y - 1
2(-2) - 1
-4 - 5
-5
Evaluate 64^1/2x
10^-2
Give your answer as a fraction in its simplest form.
[tex](64)^{\tfrac 12} \times 10^{-2}=(8^2)^{\tfrac 12} \times \dfrac 1{10^2}=\dfrac{8}{100} = \dfrac{2}{25}[/tex]
What is the length of segment AB?
A-5
B-6
C-8
D-10
Naomi's square bedroom
has an area of 90 square feet. What is
the length of one of the walls? Round to the nearest tenth if
necessary. ( The answer is 9.5 but how to you get there ?)
Think of a number, that when multiplied with itself, will get you 90.
We could try something like 7. So 7*7 = 49, but it's too small.
How about 10? Well we get 10*10 = 100 which is too big. The answer is between 7 and 10.
Let's try 8. So we get 8*8 = 64 which is too small.
This process is repeated until you determine that the answer is somewhere between 9 and 10
9*9 = 81
10*10 = 100
----------------
From here, we can try 9.5 since it's right between 9 and 10
9.5*9.5 = 90.25
close but not quite there. It's a bit too large. So the actual value is somewhat smaller than 9.5
Let's try 9.4
9.4*9.4 = 88.36
That seems even worse off compared to 90.25, so 9.5 is the better answer.
-----------------
As a shortcut, you can use the square root on your calculator
[tex]\sqrt{90} \approx 9.4868 \approx 9.5[/tex]
Suitcases originally priced at $50 are now on sale for $41. What percentage is the discount?
What is Abacus in terms of maths ?
Answer:
An abacus is a calculation tool used by sliding counters along rods or grooves, used to perform mathematical functions. In addition to calculating the basic functions of addition, subtraction, multiplication and division, the abacus can calculate roots up to the cubic degree.
I’m so confused on how to do this -?
Answer:
256
Step-by-step explanation:
any number to the 0 power equals 1, so r^0 equals 1
then, you have (4(1))^4
4×1=4
4^4=256
Answer:
3328
Step-by-step explanation:
13(4r^0)^4=13*44= 13*(4
*
4
*
4
*
4
)
=
3328
Please help meee please explain it
Answer:
C. .45
Step-by-step explanation:
Think of it like this: that is 45 hundredths and you are trying to find what 45% is and it is like 45/100 so .45 is your answer.
answer c=0.45
0.45 is equal to 45%.
fill in the two blanks Geometry problem, Two sides of a triangle have Lengths 15 and 20 the length of the third side can be any number greater than blank and less than blank
Answer:
15*20=300
Step-by-step explanation:
The two lengths is equal to there hundred
x/-4 - 4 = -13 How do you solve for x? I am really struggling on this someone please help
Answer:
x/-4=-13+4
x/-4=9
x=(9)(-4)
x=-36
A number pattern was created by subtracting 28 from the previous term. If the starting value for the pattern was 117, which of the following shows the resulting pattern?
A.
117, 89, 61, 5...
B.
117, 89, 61, 33...
C.
117, 89, 63, 5...
D.
117, 89, 63, 33..
Answer:
B. 117, 89, 61, 33...Step-by-step explanation:
Starting point is 117 and common difference is - 28.
The first 4 terms are:
117117 - 28 = 8989 - 28 = 6161 - 28 = 33Correct sequence is B
f(x)=X^2+2x-3
HELPPPP FINAL
First, you factor the equation
(x-1)(x+3)=0
x=1,-3
Hope this helps :)) and btw another resource for this type of question would be desmos graphing calculator where you could just enter in the euqaoitn and get the answer!
12 of the 28 dogs at the shelter are purebred what percent of the dogs are pure breed?HELP!
Answer:
57.142%
Step-by-step explanation:
28-12=16
16/28*100=57.142%
Which expression is equivalent to 24 x 2 - 22 x + 5? A(8 x - 5)(3 x - 1) B (8 x + 5)(3 x + 1) C(12 x - 5)(2 x - 1) D (12 x + 5)(2 x + 1)
Answer:
C) (12x-5)(2x-1)
Step-by-step explanation:
12x multiplies 2x to give 24x²
then 12x multiply -1 to give -12x
then -5 multiply 2x to give -10x
then -5 multiply -1 to give 5
that will be 24x²-12x-10x+5
our and =24x²-22x+5
Keith wants to buy an IPad for $500. He wants to earn enough money delivering pizzas to cover at least two-fifths of the cost.
Part A.
If he earns $12.50 per hour at work, write an inequality that represents how many hours Keith's needs to work
Part B
Solve your inequality? Justify your answer.
Answer:
Step-by-step explanation:
500 / 5 = 100 (that's 1 fifth, so 2 fifths will be 200)
200 / 12.5 = 16 (he will have to work 16 hours to get $200)
the inequality would be:
x * 12.5 >= 500 * 0.4 (something like that)
What is the value for y?
Enter your answer in the box.
y=
Answer:
28
Step-by-step explanation:
Answer:
y = 28Step-by-step explanation:
the sum of the internal angles of a triangle is 180 °, from the equal sides it is understood that it is isosceles, therefore it has 2 sides and two equal angles (angle A and angle B) so both A and B are 34 °, x - 5 = 34 °
we find the value of 4y
180 - 34 - 34 = 112
now we find the value of y
4y = 112°
y = 112 : 4
y = 28