Answer:
probably the 2.38 seconds answer
Step-by-step explanation:
start by setting the entire equation equal to 8, since h(t) is the height and 8m is the height we are looking at right now.
[tex]8=-5t^{2}+14t+3[/tex]
subtract 8 from both sides to get: [tex]0=-5t^{2}+14t-5[/tex]
use the Quadratic equation to find the time, the negative answer does not count.
when you do the quadratic equation you get [tex]\frac{7+2\sqrt{6} }{5},\frac{7-2\sqrt{6} }{5}[/tex]
In decimal form that's about 2.38 and 0.42 You'd probably go with the 2.38 seconds because the ball starts at 0 seconds, so the lower number is probably to close to the start point.
The solution of the problem is
Given that:
The equation is [tex]h(t)=-5t^2+14t+3[/tex] , where [tex]h(t)[/tex] is height .
The ball is [tex]8m[/tex] above the ground so [tex]h=8m[/tex] .
Now,
Substitute the value of height in given equation,
[tex]h=-5t^2+14t+3\\\\8=-5t^2+14t+3[/tex]
Subtract [tex]8[/tex] on both side to obtain the quadratic equation,
[tex]-5t^2+14t+3-8=8-8\\\\-5t^2+14t-5=0[/tex]
Multiply minus sign in both sides,
[tex]5t^2-14t+5=0[/tex]
Solve the quadratic equation ,
Where,
[tex]a=5,b=-14,c=5[/tex]
[tex]x=-b +\frac{\sqrt{b^{2}-4ac } }{2a} \\\\ x=-b -\frac{\sqrt{b^{2}-4ac } }{2a}[/tex]
Substitute the known values in the formula,
[tex]x=\frac{14+\sqrt{(-14)^2-4(5)(5)} }{2(5)} \\x=\frac{14+\sqrt{196-100} }{10} \\\\x=\frac{14+\sqrt{96} }{10} \\\\x=\frac{14+\sqrt{2*2*2*2*2*3} }{10} \\\\x=\frac{14+(4\sqrt{6}) }{10} \\\\x=\frac{7+2\sqrt{6} }{5}[/tex]
Similarly,
[tex]x=\frac{7-2\sqrt{6} }{5}[/tex]
Please help me on this question
Answer:
you need to add 11 red circles
Step-by-step explanation:
1:3 one red and three blues
r=12 b=3
r:b =12:3
12:3 is the same as 4:1
you have to add 11 red circles
-4.326 + (-0.32) ÷ 0.4
Answer:
-5.126
Step-by-step explanation:
PEMDAS
-4.326 + (-0.32) ÷ 0.4
-0.32 ÷ 0.4
= -0.8
-4.326 + (-0.8)
= -4.326 - 0.8
= -5.126
Convert the following as a. 2 hours to second
1. First convert hrs into min by multiplying 60
= 2 *60=120min
2. Then multiply 60 in 120 to convert it into seconds
120*60=7200 sec
MARK AS BRANLIEST.Which is NOT a reasonable estimate?
A 683 + 431 = 1100
B 8236 X 387 = 3200
C 943 – 682 = 200
D 6247 + 312 = 20
[tex] \frac{15x - 8 }{3} + \frac{9x - 3}{2} [/tex]
Greetings from Brasil...
Here is the problem:
[(15X - 8)/3] + [(9X - 3)/2]
Let's multiply everything by 6
[6.(15X - 8)/3] + [6.(9X - 3)/2]
[2.(15X - 8)] + [3.(9X - 3)]
30X - 16 + 27X - 9
57X - 25What is the value of x ?
Answer:
x = 3
Step-by-step explanation:
Given two secants drawn from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
x(x + 21) = (x + 1)(x + 1 + 14)
x² + 21x = (x + 1)(x + 15) ← expand using FOIL
x² + 21x = x² + 16x + 15 ( subtract x² + 16x from both sides )
5x = 15 ( divide both sides by 5 )
x = 3
find the surface area of each figure. Round to the nearest tenth if necessary.
Answer: 318 km²
Let's find the areas of the triangles
Formula: base x height / 2
9 x 6 = 54
54/2 = 27
Multiply by 2 since there are two triangles (I know, we already got the areas from 9 x 6)
27 x 2 = 54
Now let's try to find the areas of all the rectangular sides
Formula: length x width
9 x 11 = 99
8 x 11 = 88
7 x 11 = 77
99 + 88 + 77 = 264
Add up all the areas
264 + 54 = 318
Convert 7.5 gallons to quarts using a unit multiplier
Answer:
30 quarts
Step-by-step explanation:
4 quarts = 1 gallon
7.5 gallons * 4 quarts/ 1 gallon = 30 quarts
-(-9d + 2.7f + 3.5)
Distributing the “-“ sign
Answer:
9d + -2.7f + -3.5
Step-by-step explanation:
The distributive property simply is a form of multiplication that allows the sum of two or more numbers with common multiples to be rewritten.
In the case of this expression, our common multiple is the negative sign which implies an understood -1.
So you can write the expression as such:
(-1) (-9d + 2.7f + 3.5)
So to distribute the -1 to each term, we will simply write the expression:
(-1)(-9d) + (-1)(2.7f) + (-1)(3.5)
Which will give us the distributed expression:
9d + -2.7f + -3.5
Cheers.
I REALLY need help with these 3 questions plz!!!!
Answer:
6. No. See explanation below.
7. 18 months
8. 16
Step-by-step explanation:
6. To rewrite a sum of two numbers using the distributive property, the two numbers must have a common factor greater than 1.
Let's find the GCF of 85 and 99:
85 = 5 * 17
99 = 3^2 + 11
5, 3, 11, and 17 are prime numbers. 85 and 99 have no prime factors in common. The GCF of 85 and 99 is 1, so the distributive property cannot be used on the sum 85 + 99.
Answer: No because the GCF of 85 and 99 is 1.
7.
We can solve this problem with the lest common multiple. We need to find a number of a month that is a multiple of both 6 and 9.
6 = 2 * 3
9 = 3^2
LCM = 2 * 3^2 = 2 * 9 = 18
Answer: 18 months
We can also answer this problem with a chart. We write the month number and whether they are home or on a trip. Then we look for the first month in which both are on a trip.
Month Charlie Dasha
1 home home
2 home home
3 home home
4 home home
5 home home
6 trip home
7 home home
8 home home
9 home trip
10 home home
11 home home
12 trip home
13 home home
14 home home
15 home home
16 home home
17 home home
18 trip trip
Answer: 18 months
8.
First, we find the prime factorizations of 96 an 80.
96 = 2^5 * 3
80 = 2^4 *5
GCF = 2^4 = 16
Answer: 16
15. Paul is scuba diving and is 3.5 feet below
sea level. He is descending at a rate of 0.5
feet per minute. If Paul is now at 12 feet
below sea level, how many minutes has he
been diving?
Answer:
24min.
Step-by-step explanation:
he descends 0.5 feet per min. Its just like counting by 2's. I hope this helped!!
Answer:
17 minutes
Step-by-step explanation:
This equation can be expressed as .5m+3.5=12 where m = minutes. I put this in a graphing calculator but to solve this you can
12-3.5=8.5
8.5/.5 = 17
What is the value of 1/4m +n 8 - 6 = 12 *
Answer:
i dont know if you want me to solve for m
Step-by-step explanation:
Let's solve for m.
△ABCis reflected to form △A′B′C′. The vertices of △ABC are A(-1, 3), B(2, 4), and C(-5, 6). The vertices of △A′B′C′ are A′(3, −1), B′(4, 2), and C′(6, −5). Which reflection results in the transformation of △ABC to △A′B′C′? Reflection across the x-axis reflection across the y-axis reflection across y = x reflection across y=−x
Answer:
reflection across y = x
Step-by-step explanation:
Transformation is the movement of a point from its initial position to a new position. If a shape is transformed, all its point are also transformed. Types of transformation is reflection, rotation, transformation and dilation.
If a point is reflected across the x axis, the x coordinate is the same but the y coordinates is negated. If X(x, y) is reflected across the x axis the new point is X'(x, -y)
If a point is reflected across the y axis, the y coordinate is the same but the x coordinates is negated. If X(x, y) is reflected across the y axis the new point is X'(-x, y)
If a point is reflected across y = x, the x coordinate and y coordinates are interchanged. If X(x, y) is reflected across the y=x axis the new point is X'(y, x)
If a point is reflected across y = -x, the x coordinate and y coordinates are interchanged and both negated. If X(x, y) is reflected across the y=ix axis the new point is X'(-y, -x)
The vertices of △ABC are A(-1, 3), B(2, 4), and C(-5, 6). The vertices of △A′B′C′ are A′(3, −1), B′(4, 2), and C′(6, −5). The reflection of △ABC to form △A′B′C′ shows a reflection across x axis since the x and y coordinates are interchanged
Answer:
reflection across y = x
Step-by-step explanation:
piz help me!!!!
[tex]look \: at \: pic \: piz[/tex]
6
PO
2. In school of 900 studonts, it was
found that 600 students participate
in singing 500 students
in dancing and 125
do not participate
in both the activities.
participate
Answer:
[tex]B = 325[/tex]
Step-by-step explanation:
Given
Total = 900
Singing = 600
Dancing = 500
None = 125
Required
Determine the number of students that participate in both
Representing; Singing with S, Dancing with D, Both singing and dancing with B and None with N;
In Set Notation;
[tex]Total = (S - B) + (D - B) + N + B[/tex]
Substitute 900 for Total, 600 for S, 500 for D and 125 for N
[tex]900 = (600 - B) + (500 - B) + 125[/tex]
Open Brackets
[tex]900 = 600 - B + 500 - B + 125 + B[/tex]
Collect Like Terms
[tex]900 = 600 + 500 + 125 - B - B + B[/tex]
[tex]900 = 1225- B - B + B[/tex]
[tex]900 = 1225- B[/tex]
Collect Like Terms
[tex]900 - 1225 = -B[/tex]
[tex]-325 = -B[/tex]
Multiply both sides by -1
[tex]-1 * -325 = -B * -1[/tex]
[tex]325 = B[/tex]
Reorder
[tex]B = 325[/tex]
Hence, the number of students that do not participate in both is 325
Fill in the blank with a number to make the expression a perfect square.
u^2+8u+?
Answer:
16
Step-by-step explanation:
Hello, do you remember that result?
For any a and b real numbers,
[tex](a+b)^2=a+2\cdot a \cdot b+b^2[/tex]
In this example, we have.
[tex]u^2+8u=u^2+2\cdot 4 \cdot u\\\\\text{ This is the beginning of ... } u^2+8u+4^2=u^2+8u+16\\\\\text{ So, we need to add 16 to make a perfect square}\\\\u^2+8u+\boxed{16}=u^2+2\cdot 4\cdot u +4^2=(u+4)^2[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Here is a rule to make a list of numbers: Each number is 4 less than 3 times the previous number. Start with 10, build a sequence of 5 numbers.
Answer:
10,26,74,218,650
Explanation:
Each number is 4 less then 3 times than previous number.
The list of number is bounded by a set of rules that guide the creation of the set of numbers. The first 5 terms are: 10, 26, 74, 218, 650
Represent the number of terms with n.
So, the nth term is: [tex]T_n[/tex]
The start of the build is 10 means:
[tex]T_1 = 10[/tex]
The rule to generate the next terms is:
[tex]T_{n+1} = 3 \times T_n - 4[/tex] ---- i.e. 4 less than 3 times the previous term
So, the next terms till the 5th are:
[tex]T_{2} = 3 \times 10 - 4 = 26[/tex]
[tex]T_{3} = 3 \times 26- 4 = 74[/tex]
[tex]T_{4} = 3 \times 74- 4 = 218[/tex]
[tex]T_{5} = 3 \times 218- 4 = 650[/tex]
So, the first 5 terms are: 10, 26, 74, 218, 650
Read more about patterns at:
https://brainly.com/question/13382968
DESPERATLY NEED HELP PLEASE HELP MEEE IF YOU CAN!!!!!!
Determine if the triangles are congruent. If they are, give the rule that you used to determine congruence
please show how you got it so I can see if the answer makes sense!!!!
Answer:
No
Step-by-step explanation:
In ΔABC, we see that the line that shows congruent is on a side with a right angle, but in ΔDEF we see that the congruent line is on the opposite side of the right triangle.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Will Give Brainliest, answer ASAP x=
y=
z=
Opposite angles are identical.
11y = 55
Y = 55/11
Y = 5
3z-4 = 110
Add 4 to both sides
3z= 114
Z = 114/3
Z = 38
180 -110 = 70
55 + x = 70
X = 70-55
X =15
X = 15, y = 5, z = 38
Answer:x=15, y=5, z=38
Step-by-step explanation: you know that opposite angles are the same. y=5
add 4 to both sides. and you get the value for x y z.
A box has a base of 12 inches by 12 inches and a height of 30 inches. What is the length of the interior diagonal of the box? Round to the nearest hundredth.
This is a problem using the Pythagorean theorem.
The square of the length required is 122 + 122 + 302 = 1188
The length is the square root of this number; I will leave it to you to extract the square root.
Answer:
34.47
Step-by-step explanation:
Please help me find x
Need help fast!!
Answer:
x = 100°
Step-by-step explanation:
p and q are parallel lines. Construct line 'l' parallel to p and q
a = 30° {p// l when parallel lines are intersected by transversal alternate interior angles are congruent}
c +110 = 180 {linear pair}
c = 180 - 110
c = 70°
b= c {q // l when parallel lines are intersected by transversal alternate interior angles are congruent}
b = 70°
x = a + b
x = 30° + 70°
x = 100°
Gregg’s phone plan charges $.50 per text message plus $.70 a day. Howard’s plan charges $.30 a text plus $2.50 a day. For what number of texts, a day are the cost of the phone plans the same? Show work.
Answer:
x=9
Step-by-step explanation:
.5x+.7 = .3x+2.5
-.7 -.3x
.2x=1.8
/.2 /.2
x=9
.5(9)+.7=5.2
.3(9)+2.5=5.2
how do you do this with always never one solution 3х – 12 = 4х + 3 is this true or never true
3x - 12 = 4x + 3
3x - 4x = 3 + 12
-x = 15 / : (-1)
x = -15
Answer:
One solution
Step-by-step explanation:
3х – 12 = 4х + 3
3x - 4x = 3 + 12
-x = 15
x = -15
This is a one solution because x only equals 1 number.
ANSWER QUICKLY PLZZZZZZ
ANSWER QUESTION B
Answer:
16
Step-by-step explanation:
We know that: 5 + ? = 10.5
we now need to solve for ? , by using the inverse method
10.5 x 2 = 21
21 - 5 = 16
Now to double check the answer, we substitute the ? with the answer
so, 5 + 16 = 21
21/2 = 10.5 so it is clearly correct
I HOPE THIS HELPED :)
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option C, 93.6 mi³
Step-by-step explanation:
Volume of the triangular prism,
(8×3.9/2)×6
= 93.6 mi³
A poll of a registered voters is a small town is taken to determine their preferences in the national Presidential election. The results are then used to estimate the national vote. This sample is _______.
A. impartial
B. not representative
C. representative
D. unbiased
in a class ,ratio of the number of girls to boys is13:7 , find the percentage of boy
Which expression is equivalent to
X^4
Jdnzusjdnekdjdnkdkelef
4/5x - 1/10 = 3/10
what is the value of x ?
Answer:
x = 1/2Step-by-step explanation:
[tex]\frac{4}{5}x-\frac{1}{10}=\frac{3}{10}\\\\\mathrm{Add\:}\frac{1}{10}\mathrm{\:to\:both\:sides}\\\\\frac{4}{5}x-\frac{1}{10}+\frac{1}{10}=\frac{3}{10}+\frac{1}{10}\\\\\frac{4}{5}x=\frac{2}{5}\\\\\mathrm{Multiply\:both\:sides\:by\:}5\\\\5\times \frac{4}{5}x=\frac{2\times \:5}{5}\\\\4x=2\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4}=\frac{2}{4}\\\\x=\frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
isolate variable
solve
ANSWER QUICK !!
Yuri is participating in a tund-raiser at school. She will receive donations from 2 people. A cousin will donate $0.40 for every 1/8 mile that Yuri walks.
A friend will give Yuri a one-time donation of $30
What is the minimum number of miles Yuri needs to walk to raise at least $507 Enter the answer in the box,
507 - 30 = 477
477 / 0.4 = 1192.5
1192.4 / 8 = 149.0625 miles or 150 miles
i don't know if this is right cause the answer seems so absurd