Answer:
Approximately 3.8 seconds
Step-by-step explanation:
H(x)=-16x^2+60x+4
We want to find when the ball hits the ground, or where the zeros are
0 =-16x^2+60x+4
Using the quadratic formula
-b ±sqrt(b^2 -4ac)
---------------------------
2a
-60 ±sqrt(60^2 -4*-16*4)
---------------------------
2(-16)
-60 ±sqrt(3600+256)
---------------------------
-32
-60 ±sqrt(3856)
---------------------------
-32
We want the positive value for time
-60-62.09669879
---------------------------
-32
3.815521837
Approximately 3.8 seconds
Find the value of x in the following quadrilateral.
Answer:
see below
Step-by-step explanation:
Because the sum of all angles in a quadrilateral is 360° we have:
90 + 101 + 12x + 3 + 9x - 2 = 360
21x + 192 = 360
21x = 168
x = 8°
Answer:
The value of x is 8.
Step-by-step explanation:
Given that total angles in a quadrilateral is 360°. So in order to find x, you have to add up all the angles together to make it equals to 360° :
[tex]101 + 12x + 3 + 9x - 2 + 90 = 180[/tex]
[tex]192 + 21x = 360[/tex]
[tex]21x = 360 - 192[/tex]
[tex]21x = 168[/tex]
[tex]x = 168 \div 21[/tex]
[tex]x = 8[/tex]
Please Answer Quick!!! Will Give Brainliest!!!
1.) Rita used a compass to draw a circle with a radius of 3 cm. What was the circumference of the circle? (Use 3.14 for π.)
2.) If 20% of the 50 pennies in the roll were minted before the year 2000, then how many of the pennies were minted before 2000?
Answer:
1. 18.84cm
2. 10 Pennies
Step-by-step explanation:
Question 1:
Circumference Formula = 2 x π x radius
We will substitute π for 3.14 so the circumference = 2 x 3.14 x radius
The radius is 3 so the circumference = 2 x 3.14 x 3
2 x 3.14 x 3 = 18.84cm
Question 2:
20% as a decimal is 0.2
To find the answer just find 20% of 50
50 x 0.2 = 10
Therefore 10 pennies were minted before 2000
If f(x) = 2x - 3 and g(x) = x^2 + 3, what is f(x) - g(x)?
Answer:
the answer is -x^2 + 2x - 6
Step-by-step explanation:
Which of the following is a correct interpretation of the expression -4 + 13−4+13minus, 4, plus, 13?
Answer:
Step-by-step explanation:
-4 + 13 - 4 + 13 - 4 + 13
9 - 4 + 13 - 4 + 13
5 + 13 - 4 + 13
18 - 4 + 13
14 + 13
27
Find the area of the polygon
Answer:
154 square units
Step-by-step explanation:
To find the area of a trapezoid, we need to: [tex](a+b)\frac{h}{2}[/tex] , a and b being 17 and 5 in this case. h is 14. Substitute the variables and there you have it!
10. What is an expression for the perimeter of the triangle?
11. What is an expression for the area of the triangle?
12. Think about values for x, y, and z that would make the following statements true. If you think these values exist, give an
example of them. If you think they do not exist, explain why.
a.
The perimeter and area are both rational numbers.
b.
The perimeter is an irrational number and the area is a rational number.
C.
The perimeter and area are both irrational numbers.
Answer:
See explanation, and comment for more details!
Step-by-step explanation:
10. The perimeter of any shape is the sum of the length of the sides, which means that the perimeter of this triangle is x+y+z.
11. Since this is a right triangle, the two legs form the height and base. The area of this triangle is therefore x*y/2.
12.
a. x=3, y=4, z=5
b. [tex]x=\sqrt{2}, y=\sqrt{2}, z=2[/tex]
c.[tex]x= \sqrt{3}, y=2, z=\sqrt{7}[/tex]
Hope this helps!
Which interval contains a local minimum for the graphed
function?
O [-4,-2.5)
O 1-2, -1]
O [1, 2]
O [2.5, 4]
thanks for the help !
Answer:
Quadrant 4!
Step-by-step explanation:
It isn't quite 2 pi, so it doesn't make it around the circle twice, making it land in quadrant 4
The shape has an area of 60 square inches. Find the value of x.
Answer:
5 inches
Step-by-step explanation:
A=bh
A=bx
60=12x
12x=60
x=5
Answer:
x = 5 In.
Step-by-step explanation:
The area of a parellelogram is usually basically the same as that of a rectangle or square. So the equation for the area of this parellogram is 60/12.
That would give you 5 which makes x equal to 5 inches.
The value of x for which the expressions 3x – 4 and 2x + 1 become
equal is
-3
0
5
1
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
To determine for which value of x a pair of expressions will be equal, we will need to set them equal to each other and then solve for x.
[tex]3x-4=2x+1[/tex]
First, we can add 4 to each side
[tex]3x=2x+5[/tex]
Now we can subtract 2x from each side
[tex]x=5[/tex]
Now, just to check our answer, we can plug in our answer back into the original equation to see whether we get the same result for each side
[tex]3(5)-4=2(5)+1\\\\15-4=10+1\\\\11=11[/tex]
Answer:
5
Step-by-step explanation:
1) make them equal to each other
2) put all the constants on one side and all the ones with x on the other
3) solve
expand 3(t-7)
expand 2t(t-3)
expand -3s(t+5)
expand (3+x) (3-x)
expand (4x-7) (4x+7)
Answer:
3t-21
2t²-6t
-3st-15s
9-x²
16x²-49
Step-by-step explanation:
In general
A(B+C)=AB+AC
(A+B)(D+C)=AD+AC+BD+BC
(A+B)(A-B)=A²+AB-BA-B²=A²-B²
ANSWER:
1) 3(t-7)
= 3t-21
2) 2t(t-3)
= 2t^2-6t
3) -3s(t+5)
= -3st-15s
4) (3+x)(3-x)
= 9-3x+3x-x^2
5) (4x-7)(4x+7)
= 16x^2 -28x+ 28x-49
The diagram shows a circle inscribed in a square.
12 m
12 m
What is the area of the shaded part of the diagram? (Use 3.14 as an estimate for 1.)
Answer:
A
Step-by-step explanation:
first lets find the area of the square
A=l*w
12*12=144 m^2
then lets find the are of the circle
A=pi*r^2
A=3.14*(d/2)^2
the diameter of the circle is 12m
A=3.14*(12/2)^2
A=3.14*(6)^2
A=3.14*36
A=113.04 m^2
Now, lets subtract the area of the circle form the area of the square
144-113.04= 30.96 m^2
So, the answer is A
f (x) = x² + 10x + 24.
Help plzz !!
Answer:
Consider the form
x
2
+
b
x
+
c
x2+bx+c
. Find a pair of integers whose product is
c
c
and whose sum is
b
b
. In this case, whose product is
−
24
-24
and whose sum is
−
10
-10
.
−
12
,
2
-12,2
Write the factored form using these integers.
(
x
−
12
)
(
x
+
2
)
(x-12)(x+2)
Answer:
[tex]f(x)=x+5x^{2} -1[/tex]
Please find the length of the missing side
Answer:
it is 768 in
Step-by-step explanation:
you multiply 32 by 24
Answer:
C. would be the answer.
Step-by-step explanation:
Hope this helps.
NUMBERS THAT ARE GONNA BE ROUNDED TO: 1/2, 1, 0
1. 1/8 + 2/5
2. 13/14 - 1/10
3. 1/12 + 1/20
Answer:
1. 1/2
2. 1
3. 0
Step-by-step explanation:
152 divided by 1,000
Answer:
0.152
Step-by-step explanation:
152 divided by 1,000 equals around 0.152.
The calculated division of the numbers 152 divided by 1000 is 19/125
How to calculate the division of the numbersFrom the question, we have the following parameters that can be used in our computation:
152 divided by 1000
When represented as an equation, we have
152 divided by 1000 = 152/1000
Divide 7 by 4
So, we have the following result
152 divided by 1000 = 19/125
Using the above as a guide, we have the following:
the result is 19/125
Read more about quotient at
brainly.com/question/11418015
#SPJ6
The distribution of average wait times in drive-through restaurant lines in one town was approximately normal with mean \mu = 185μ=185mu, equals, 185 seconds and standard deviation \sigma = 11σ=11sigma, equals, 11 seconds. A journalist wrote an article about the restaurants whose average drive-through wait times were in the top 25\%25%25, percent for that town. What is the minimum average wait time for restaurants that the journalist included in the article?
Using the normal distribution, it is found that the minimum average wait time is of 192 seconds.
------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 185 seconds, thus [tex]\mu = 185[/tex].Standard deviation of 11 seconds, thus [tex]\sigma = 11[/tex].The top 25% is at least the 100 - 25 = 75th percentile, which is X when Z has a p-value of 0.75, so X when Z = 0.675.[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 185}{11}[/tex]
[tex]X - 185 = 11(0.675)[/tex]
[tex]X = 192[/tex]
The minimum wait time is of 192 seconds.
A similar problem is given at https://brainly.com/question/7001627
The question is attached
perimeter
Answer:
62 cm
Step-by-step explanation:
48/4 = 12 so 1 side = 12
the base of the triangle therefore must also be 12 so 38 - 12 = 26
26 + 36 = 62
(2 sides of triangle + 3 sides of square)
Find distance of each
Answer:
4
Step-by-step explanation:
Since the y value is the same, we only have to look at the x value
-1 - -5
-1 +5
4
The distance is 4
Answer: The distance of this segment is 4 units
Step-by-step explanation:
Obviously, you could count the number of units in this graph, but for the sake of math, let’s use the distance formula, which is:
d = √([tex]x_{2}[/tex] - [tex]x_{1}[/tex])² + ([tex]y_{2}[/tex] - [tex]y_{1}[/tex])²
We know that the two endpoints of our line segment are (-1, -4) and (-5, -4). So we will use these coordinates and substitute them into the equation. The -4s will be our y coordinates, and our -1 and -5 will be our x coordinates.
d = √((-5) - (-1))² + ((-4) - (-4))²
d = √(-4)² + (0)²
d = √16 + 0
d = √16
d = 4
This furthermore proves that the distance between the two segments is 4.
Hope this helps! :)
Will give brainliest answer
Answer:
[tex]72.16 \: {units}^{2} [/tex]
Step-by-step explanation:
[tex]surface \: \: \: area \\ = {a}^{2} + 2a \sqrt{ \frac{ {a}^{2} }{4} + {h}^{2} } \\ = {5}^{2} + 2 \times 5 \times \sqrt{ \frac{ {5}^{2} }{4} + {4}^{2} } \\ = 72.16 \: {units}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Please help quickly
Answer:
Step-by-step explanation:
-0.75 + 0.4 + 0.4 - 0.75
-1.50 + 0.8
-0.70
factories 3t+15
factories 3a2+9a
factories a2b+ab2+ab
factories x2-25
factories 16-25×2
Answer:
(a) 3t + 15
3(t + 5)
(b) 3a² + 9a
3a(a+3)
(c) a²b + ab² + ab
ab(a +b + 1)
(d) x² - 25
x(x-25)
(e) I'm not sure about this one, sorry
Carbon-141414 is an element which loses exactly half of its mass every 573057305730 years. The mass of a sample of carbon-141414 can be modeled by a function, MMM, which depends on its age, ttt (in years). We measure that the initial mass of a sample of carbon-141414 is 741741741 grams. Write a function that models the mass of the carbon-141414 sample remaining ttt years since the initial measurement.
Answer:
The function that models the mass of the carbon-14 sample remaining t years since the initial measurement is
M(t) = 741 e⁻⁰•⁰⁰⁰¹²¹ᵗ
with M(t) in grams and t in years.
Step-by-step explanation:
Radioactive reactions always follow a first order reaction dynamic
Let the initial concentration of Carbon-14 be M₀ and the concentration at any time be M
(dM/dt) = -kM (Minus sign because it's a rate of reduction)
(dM/dt) = -kM
(dM/M) = -kdt
∫ (dM/M) = -k ∫ dt
Solving the two sides as definite integrals by integrating the left hand side from M₀ to M and the Right hand side from 0 to t.
We obtain
In (M/M₀) = -kt
(M/M₀) = e⁻ᵏᵗ
M(t) = M₀ e⁻ᵏᵗ
Although, we can obtain k from the information on half life.
For a first order reaction, the rate constant (k) and the half life (T) are related thus
T = (In2)/k
The half life is the time taken for the radioactive substance to decay to hAlf of its original amount, and according to the question, T = 5730 years
k = (In 2)/5730 = 0.000120968 /year. = 0.000121 /year
M(t) = M₀ e⁻ᵏᵗ
k = 0.000121 /year, M₀ = 741 grams
The equation then becomes
M(t) = 741 e⁻⁰•⁰⁰⁰¹²¹ᵗ
with M(t) in grams and t in years.
Hope this Helps!!!
Answer:
M(t)=741*(1/2)^t/5730
If two right triangles each have a 30° angle, then the
triangles must be
a equilateral
b.similar
C. obtuse
D. congruency
Answer:
b. Similar
Step-by-step explanation:
Although angles are congruent the triangles are not as sides need to be the same too. Both shapes have 90 degree and 30 degree and add up to 180 degree in each triangle. Therefore each shapes angles are congruent but we dont know there size or scale, so they are similar. if they are the same (shape and size)- in other words, if the lengths of the sides and the angles are the same. So they are similar.
Because the angles are congruent and sizes are not shown they must be similar.
They cannot be obtuse as no angle is larger than 90 degrees and to be obtuse it would have to be larger than 90 deg and lower than 180 deg.
They cannot be equilateral as that means it couldn't be 30 degree and a right angle as equilateral means same angle sizes within 'one' triangle or for every or each triangle; as we know all triangles that are equilateral are 60, 60, 60 degrees to add up to 180 degree and cannot be an equilateral for this reason too as we have right angle triangles and equilateral are not right angles due to being 60 degree angle measures.
They are not fully congruent as we do not know there side measures so they have to be similar.
Answer:
B
Step-by-step explanation:
Two triangles are similar when they share at least two angles and the only difference is size.
the pyramid below has a rectangular base and E is directly above A. The volume of the pyramid is 600cm^3. Work out the height of the pyramid, AE
Answer:The volume of the pyramid = (1/3)*area of base *height
= (1/3)*10*24*13 = 1040 cubic units.
The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.
Area of rectangular base = 24*10 = 240 sq units.
pls help thus is due tmr pls help.
Answer:
4. 30m; the coefficient is 30.
Step-by-step explanation:
According to wiki, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number. For example, 4x +7 has a coefficient of 4 and a variable of 'x'. The product of 6 and 5 is thirty and the product of 30 and 'm' is 30m.
Solve using function notation please help
Answer:
x^2+5x+5
Step-by-step explanation:
Answer:
f(x)+g(x) = x^2 + 5x+5
Step-by-step explanation:
f(x) = 4x+5
g(x) = x^2 +x
f(x)+g(x) = 4x+5+ x^2 +x
Combine like terms
f(x)+g(x) = x^2 + 5x+5
A shelf has four blue shirts, two green shirts, two gray shirts, one white shirt and one red shirt. You randomly choose one shirt from the shelves. Find the probability of choosing a red shirt. Give your answer as a percent (ex. 32%)
Answer:
20 %
Step-by-step explanation:
four blue shirts, two green shirts, two gray shirts, one white shirt and one red shirt = 10 shirts
P(red) = number of red shirts / total
= 2/10
= 1/5
=20 %
Answer:
10%
Step-by-step explanation:
4 blue
2 green
2 gray
1 white
1 red
4 + 2 + 2 + 1 + 1 = 10
each t-shirt = 10 percent
so 1 red t-shirt = 10%
Use the coordinates of the labeled point to find the point-slope equation of the line
Answer:
A. y + 1 = -2(x-2)
Step-by-step explanation:
point-slope equation is : y - y1 = m (x -x1)
remember m= slope value
the given point is (2, -1) therefore we can substitute the values in:
y + 1 = m(x -2)
now to make sure our answer is complete we will solve for the slope:
looking back at the graph, the y-intercept value is 3, therefore we have a point of (0,3) and (2, -1)
with any two points you can determine a slope.
y2 - y1 / x2 - x1
therefore :
-1 -3 / 2 - 0
-4 / 2 = -2
therefore our m value is -2
this makes the completed point-slope equation:
y + 1 = -2 (x - 2) or A
Giving brainliest to anyone who answers
Answer:
[tex]\frac{1}{x+2}-\frac{1}{3} =\frac{1}{x^2 +5x+6}[/tex]
Step-by-step explanation:
\frac{1}{x+2}-\frac{1}{3} =\frac{1}{x^2 +5x+6}
Answer:
[tex]$\frac{2}{3x} +\frac{7}{5y} $[/tex]
[tex]$\frac{2(5y)}{3x(5y)} +\frac{7(3x)}{5y(3x)} $[/tex]
[tex]$\frac{10y}{15xy} +\frac{21x}{15xy}$ \\[/tex]
[tex]$\frac{10y+21x}{15xy}$ \\[/tex]
\\-----------------------------------\\
[tex]$\frac{1}{x+2} -\frac{1}{x+3} $[/tex]
[tex]$\frac{1(x+3)}{(x+2)(x+3)} -\frac{1(x+2)}{(x+2)(x+3)} $[/tex]
[tex]$ \frac{x+3- (x+2)}{(x+2)(x+3)} $[/tex]
[tex]$ \frac{1}{(x+2)(x+3)} $[/tex]