Answers
Answer:
50 = -16t² + 12t + 8
Step-by-step explanation:
50 = -16t² + 12t + 8
Related Questions
PLEASE HELP!! Please answer all if you can and show answer clearly thankyou sm if u do
Answers
Answer:
Below:
Step-by-step explanation:
A) 0.15 (0.35 + 0.40 + 0.10 + 0.15 = 1)
B) 0.45
C) 0.40
A) the total probability has to equal 1.
To find the probability of rat subtract the other animals from1:
Rat = 1 - 0.35-0.4-0.1 = 0.15
Rat = 0.15
B) probability of cat or hamster equals the sum of their probabilities:
Cat = 0.35 + hamster = 0.1 = 0.45
Answer = 0.45
C) the probability of them both picking the same = dog x dog = 0.4 x 0.4 = 0.16
Answer = 0.16
Three lines intersect at point P, as shown in the diagram below. Find the measure of
Answers
Answer:
VPQ = 83°
Step-by-step explanation:
You can draw a circle around the point P, and a circle have 360°, so it means that the sum off all the angles have ro be 360°. Some of these angles have the same measure, because they're formed by the same lines segments, they are:
SPR = UPV; TPU = RPQ; TPS = VPQ
360 - SPR - UPV - RPQ - TPU = VPQ + TPS
As some of they are equal, we can just multiply they by 2:
360 - 2×SPR - 2×RPQ = 2× VPQ
360 - 2×35 - 2×62 = 2×VPQ
360 - 70 - 124 = 2×VPQ
2 VPQ = 166
VPQ = 166/2
VPQ = 83°
Let f(x)=x2+10x+37 .
What is the vertex form off(x)?
What is the minimum value off(x)?
Enter your answers in the boxes.
Vertex form: f(x)=
Minimum value of f(x):
Answers
Answer:
f(x) = (x+5)^2 +12
The minimum value is 12
Step-by-step explanation:
f(x)=x^2+10x+37
The vertex will be the minimum value since this is an upwards opening parabola
Completing the square by taking the coefficient of x and squaring it adding it and subtracting it
f(x) = x^2+10x + (10/2) ^2 - (10/2) ^2+37
f(x) = ( x^2 +10x +25) -25+37
= ( x+5) ^2+12
Th is in vertex form y = ( x-h)^2 +k where (h,k) is the vertex
The vertex is (-5,12)
The minimum is the y value or 12
City A had a population of 10000 in the year 1990. City A’s population grows at a constant rate of 3% per year. City B has a population that is growing exponentially. In the year 2000, there were half as many people in B as in A. In the year 2010, the population of A was 20% more than the population of B.
When will the populations be equal? Give your answer in years after 1990.
Answers
Answer:
City A and city B will have equal population 25years after 1990
Step-by-step explanation:
Given
Let
[tex]t \to[/tex] years after 1990
[tex]A_t \to[/tex] population function of city A
[tex]B_t \to[/tex] population function of city B
City A
[tex]A_0 = 10000[/tex] ---- initial population (1990)
[tex]r_A =3\%[/tex] --- rate
City B
[tex]B_{10} = \frac{1}{2} * A_{10}[/tex] ----- t = 10 in 2000
[tex]A_{20} = B_{20} * (1 + 20\%)[/tex] ---- t = 20 in 2010
Required
When they will have the same population
Both functions follow exponential function.
So, we have:
[tex]A_t = A_0 * (1 + r_A)^t[/tex]
[tex]B_t = B_0 * (1 + r_B)^t[/tex]
Calculate the population of city A in 2000 (t = 10)
[tex]A_t = A_0 * (1 + r_A)^t[/tex]
[tex]A_{10} = 10000 * (1 + 3\%)^{10}[/tex]
[tex]A_{10} = 10000 * (1 + 0.03)^{10}[/tex]
[tex]A_{10} = 10000 * (1.03)^{10}[/tex]
[tex]A_{10} = 13439.16[/tex]
Calculate the population of city A in 2010 (t = 20)
[tex]A_t = A_0 * (1 + r_A)^t[/tex]
[tex]A_{20} = 10000 * (1 + 3\%)^{20}[/tex]
[tex]A_{20} = 10000 * (1 + 0.03)^{20}[/tex]
[tex]A_{20} = 10000 * (1.03)^{20}[/tex]
[tex]A_{20} = 18061.11[/tex]
From the question, we have:
[tex]B_{10} = \frac{1}{2} * A_{10}[/tex] and [tex]A_{20} = B_{20} * (1 + 20\%)[/tex]
[tex]B_{10} = \frac{1}{2} * A_{10}[/tex]
[tex]B_{10} = \frac{1}{2} * 13439.16[/tex]
[tex]B_{10} = 6719.58[/tex]
[tex]A_{20} = B_{20} * (1 + 20\%)[/tex]
[tex]18061.11 = B_{20} * (1 + 20\%)[/tex]
[tex]18061.11 = B_{20} * (1 + 0.20)[/tex]
[tex]18061.11 = B_{20} * (1.20)[/tex]
Solve for B20
[tex]B_{20} = \frac{18061.11}{1.20}[/tex]
[tex]B_{20} = 15050.93[/tex]
[tex]B_{10} = 6719.58[/tex] and [tex]B_{20} = 15050.93[/tex] can be used to determine the function of city B
[tex]B_t = B_0 * (1 + r_B)^t[/tex]
For: [tex]B_{10} = 6719.58[/tex]
We have:
[tex]B_{10} = B_0 * (1 + r_B)^{10}[/tex]
[tex]B_0 * (1 + r_B)^{10} = 6719.58[/tex]
For: [tex]B_{20} = 15050.93[/tex]
We have:
[tex]B_{20} = B_0 * (1 + r_B)^{20}[/tex]
[tex]B_0 * (1 + r_B)^{20} = 15050.93[/tex]
Divide [tex]B_0 * (1 + r_B)^{20} = 15050.93[/tex] by [tex]B_0 * (1 + r_B)^{10} = 6719.58[/tex]
[tex]\frac{B_0 * (1 + r_B)^{20}}{B_0 * (1 + r_B)^{10}} = \frac{15050.93}{6719.58}[/tex]
[tex]\frac{(1 + r_B)^{20}}{(1 + r_B)^{10}} = 2.2399[/tex]
Apply law of indices
[tex](1 + r_B)^{20-10} = 2.2399[/tex]
[tex](1 + r_B)^{10} = 2.2399[/tex] --- (1)
Take 10th root of both sides
[tex]1 + r_B = \sqrt[10]{2.2399}[/tex]
[tex]1 + r_B = 1.08[/tex]
Subtract 1 from both sides
[tex]r_B = 0.08[/tex]
To calculate [tex]B_0[/tex], we have:
[tex]B_0 * (1 + r_B)^{10} = 6719.58[/tex]
Recall that: [tex](1 + r_B)^{10} = 2.2399[/tex]
So:
[tex]B_0 * 2.2399 = 6719.58[/tex]
[tex]B_0 = \frac{6719.58}{2.2399}[/tex]
[tex]B_0 = 3000[/tex]
Hence:
[tex]B_t = B_0 * (1 + r_B)^t[/tex]
[tex]B_t = 3000 * (1 + 0.08)^t[/tex]
[tex]B_t = 3000 * (1.08)^t[/tex]
The question requires that we solve for t when:
[tex]A_t = B_t[/tex]
Where:
[tex]A_t = A_0 * (1 + r_A)^t[/tex]
[tex]A_t = 10000 * (1 + 3\%)^t[/tex]
[tex]A_t = 10000 * (1 + 0.03)^t[/tex]
[tex]A_t = 10000 * (1.03)^t[/tex]
and
[tex]B_t = 3000 * (1.08)^t[/tex]
[tex]A_t = B_t[/tex] becomes
[tex]10000 * (1.03)^t = 3000 * (1.08)^t[/tex]
Divide both sides by 10000
[tex](1.03)^t = 0.3 * (1.08)^t[/tex]
Divide both sides by [tex](1.08)^t[/tex]
[tex](\frac{1.03}{1.08})^t = 0.3[/tex]
[tex](0.9537)^t = 0.3[/tex]
Take natural logarithm of both sides
[tex]\ln(0.9537)^t = \ln(0.3)[/tex]
Rewrite as:
[tex]t\cdot\ln(0.9537) = \ln(0.3)[/tex]
Solve for t
[tex]t = \frac{\ln(0.3)}{ln(0.9537)}[/tex]
[tex]t = 25.397[/tex]
Approximate
[tex]t = 25[/tex]
(2x+8)-(x-8) PLS HELP
Answers
Explanation:
(2x+8)-(x-8)
You would first distribute the - into the (x-8)
-1*x= -x -8*-1= 8
(2x+8)+(-x+8)
Now you combine like terms
2x-x=x 8+8=16
16+x or x+16
Mr. Jackson lengthened the fence along the back of his yard. Before he added 130 feet, the fence was 300 feet long. He divided the fence into 5-foot sections.
How many 5-foot sections does he have now?
A. 86
B. 60
C. 26
D. 430
is it A?
Answers
Answer:
The answer is A, 86 sections.
Step-by-step explanation:
Step one : Add the 130 feet on to the 300 feet to find the new length of the fence.
130 + 300 = 430
Step two : find how many 5 foot sections he has now, divide 430 by 5.
430/5 = 86
Mr. Jackson can divide the new fence into 86 5-foot sections.
The answer is A, 86 sections.
Solve x2 – 8x + 15 < 0.
Select the critical points for the inequality shown.
Answers
Answer:
x> 17/8
Step-by-step explanation:
add the numbers
17-8x<0
move the constant to the right-hand side and change its sign
-8x<-17
Divide both side of the inequality by -8 and flip the inequality sign
x>17/8
f(x)=[tex]\frac{3}{x+2}[/tex]-[tex]\sqrt{x-3}[/tex]
Answers
f(x) = 3/x+2 - √x - 3
We can put any value of x so, let x be 3f(3) = 3/3 + 2 - √3 - 3
f(3) = 3/3 + 2 - √0
f(3) = 3/5 - 0
f(3) = 3/5
You can let x be any value of your choice.
Can someone answer this please
Answers
Answer:
good luck man
Step-by-step explanation:
you will get answers after some time
A teacher wishes to choose a group of students to help with a presentation. If he needs 2 boys and 3
girls to help with the project and has 14 boys and 12 girls in his classroom, in how many ways can he
make the selection?
Answers
Choosing 2 boys can be done in 14 x 13 = 182 ways.
But this puts them in order ( first and second) which is not required so the unordered number ways is 182 / 2 = 91
Choosing 3 girls can be done in 12 x 11 x 10 = 1320 ways but 3 girls can appear in 3! ways = 6.
The number of unordered selections of 3 girls = 1320 / 6 = 220
The total number of selections is 91 x 220 = 20020.
If you thought the answer was 240240 it is because you used permutations rather than combinations.
If you are still confused, remember choosing Alan and Bruce is the same as choosing Bruce and Alan.
For the girls you could choose CDE, CED, DCE, DEC, ECD OR EDC and still get exactly the same 3 girls.
Find the product of (4z2 + 7z – 8) and (–z + 3).
The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 +
z2 +
z – 24.
Answers
Answer:
-4z^3 + 5z^2 + 29z -24
Step-by-step explanation:
(4z^2 + 7z-8) (-z+3)
would equal -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24
and simplified to -4z^3 + 5z^2 + 29z -24
Answer:
5
29
Step-by-step explanation:
really need help quick GR5 question
Answers
Answer:
Amount won : $3,000,000
Step-by-step explanation:
Let the amount won be =100 x
Amount spent on house :
[tex]\frac{4}{5} \ of \ 100 x = 80 x[/tex]
Remaining amount = 100x - 80x = 20x
Amount spent on yacht :
[tex]\frac{3}{4} \ of \ 20x = 15x[/tex]
Remaining amount = 20x - 15x = 5x
Amount spent on a trip :
[tex]\frac{2}{3} \ of \ 5x = \frac{10}{3}x[/tex]
Remaining amount =
[tex]5x - \frac{10}{3}x = \frac{15x -10x}{3} = \frac{5x}{3}[/tex]
This amount is given for charity :
[tex]\frac{5}{3}x[/tex]
But given :
Amount given to charity is 50000
Therefore ,
[tex]\frac{5}{3}x = 50000[/tex]
[tex]5x = 3 \times 50000\\\\5x = 150000\\\\x = 30000[/tex]
Therefore , the amount won on lottery is = 100x = 100 ( 30000) = 3,000,000
The amount of money he won
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answers
Answer:
The answer is "The second choice".
Step-by-step explanation:
[tex]r=6\\\\h=13 \\\\[/tex]
Formula:
[tex]A=2\pi rh[/tex]
[tex]=2\times 3.14 \times 6 \times 13\\\\=2\times 3.14 \times 78\\\\=3.14 \times 156\\\\=3.14 \times 156\\\\=489.84 \approx 489.8 ft^2[/tex]
Find the value of x. Round your answer to the nearest tenth.
Answers
Answer:
35 is the value of x
100 POINTS HELP ME NOW!
Answers
Answer:
[tex]160[/tex]
Step-by-step explanation:
A rectangular prism's surface area is [tex]2(wl+hl+hw)[/tex].
2·(10·5+2·5+2·10)=160.
Answer:
a or c
Step-by-step explanation:
surry if im wrong
Reeba is baking cookies for the bake sale. She bakes 3 ¾ dozen chocolate chip cookies to sell . If Reeba sells ⅔ of the cookies, how many cookies did she sell?
Answers
Answer:
30 cookies
Step-by-step explanation:
Reeba sells [tex]\frac{2}{3}[/tex] of [tex]3\frac{3}{4}[/tex] of 12 chocolate chip cookies.
Let us start by finding [tex]3\frac{3}{4}[/tex] of 12. We simply have to multiply the two numbers. However, it would be much easier if we had an improper fraction than a mixed number. Let us make [tex]3\frac{3}{4}[/tex] an improper fraction first.
[tex]3\frac{3}{4} =\frac{15}{4}[/tex]
Ok! Let's multiply.
[tex]\frac{15}{4} *\frac{12}{1} =\\15*3\\=45[/tex]
Ok, Reeba baked 45 cookies in total. We know that she sells [tex]\frac{2}{3}[/tex] of her baked cookies, so we can again multiply the two numbers.
[tex]\frac{2}{3} *\frac{45}{1} =\\2*15=\\30[/tex]
Therefore, Reeba sold 30 cookies.
I hope this helps! Let me know if you have any questions :)
4th grade math question:
jessica bought 4 gallons of paint. Jessica needed to use 3/4 of the paint to paint her living room and dining room. How many gallons did she use, write the number of gallons.
Answers
Answer:
1 gallon
Step-by-step explanation:
gallons of paint needed; 4
gallons used: (3/4)*4
= 1 gallon was used
Answer:
Answer is 3 gallons
Step-by-step explanation:
1 gallon= 25%
2 gallons=50%
3 gallons=75%
3/4 is equivalent to 75%
Hope this helped!
The Grade 8 students had a graduation dinner. They paid a flat rate of $125 for the use of the hall, plus $13 for each student who attended. The total cost for the dinner was $944.
How many students attended the dinner?
a) Write an equation you could use to solve the problem.
b) Solve the equation.
Verify the solution.
CAN SOMEONE GIVE ME THE ANSWERS AND EXPLANATION FOR THIS QUESTION IN SIMPLE FORM PLEASEEEEEEEEE I CANT FAIL
Answers
Answer:
65
Step-by-step explanation:
A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 10 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
The area of the bookmark is cm2.
Plzz help me
Answers
Answer:
Area of the bookmark = 52.56 cm²
Step-by-step explanation:
The two semicircles attached at both end of the rectangle will give us a full circle.
Therefore,
Area of the bookmark = area of rectangle + Area of a circle
Area of the bookmark = L × W + πr²
Length (L) = 10 cm
Width (W) = 4 cm
radius (r) = ½(4) = 2 cm
π = 3.14
Plug in the values into the equation
Area of bookmark = 10 × 4 + 3.14 × 2²
= 40 + 12.56
= 52.56 cm²
The net of a solid figure is shown below:
Which calculation will give the total surface area of the solid figure? (1 point)
1) 5.6.6 square inches
2) 6.5.5 square inches
3) 6.5.5.5 square inches
4) 5.6.6.6 square inches
Answers
===========================================================
Explanation:
Each square has a side length of 5 inches, so each square has area 5*5 = 25 square inches. We have 6 such squares to give a total surface area of 6*25 = 150 square inches.
Effectively, this is the same as using the formula below
S = 6x^2
S = 6*5^2
S = 6*5*5
S = 150
x = 5 refers to the side length and S is the surface area. It might help to cut the figure from the paper, and fold it up and you should find that a 3D box will form. There are 6 faces with area of 5*5 each, hence the 6*5*5
The nth term of a sequence is 5n.
Work out the 10th term of this sequence.
Answers
Answer:
The 10th term is 50
Step-by-step explanation:
5(10) = 50
a piece of ribbon is 5.4 meters long. What will be the length of 8 similar pieces?
Answers
Answer:
43.2 meters
Step-by-step explanation:
Multiply the length of one piece of ribbon by 8 to determine the total length
5.4 * 8 =43.2 meters
answer: 43.2 meters
How much space does Lacey’s mom cover in frosting?
Answers
Please just trust me, this took me a long amount of time to solve.
Basically this question is asking for the surface area. Just find the area of each face in the figure. Thats what I did.
Keep in mind that if the figure is composite and difficult like this, I separated it into 2 prism in this case.
I REALLY HOPE THIS HELPS
PLEASE SAY IF MY ANSWER IS CORRECT
-SpaceMarsh
Find f(-2) for f(x) = 3x2^x
Answers
Is 1/2^2=1/4
3 x 1/4 is 3/4
The answer is 3/4 I think
The value of function f (- 2) would be,
⇒ f (- 2) = 3 / 4
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The value of function is,
⇒ f (x) = 3 × 2ˣ
Now,
At x = - 2;
The value of function f (- 2) would be,
⇒ f (x) = 3 × 2ˣ
⇒ f (- 2) = 3 × 2⁻²
⇒ f (- 2) = 3 × 1 / 4
⇒ f (- 2) = 3 / 4
Thus, The value of function f (- 2) would be,
⇒ f (- 2) = 3 / 4
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ2
What is an equation that represents the line that passes through the points (1, 1) and (-2, 7)?
Answers
Not sure if this is correct but I hope this helps :)
If f(x) = 3 x2 + 2 and g(x) = x2 - 9, find (f - g)(x).
Answers
Answer:
2x^2 +11
Step-by-step explanation:
(x) = 3 x^2 + 2
g(x) = x^2 - 9
(f - g)(x) =3 x^2 + 2 - (x^2 - 9)
Distribute the minus sign
= 3x^2 +2 - x^2 +9
Combine like terms
= 2x^2 +11
List the smallest three values in the set below. {x | x ∈ E and x < 30}
Answers
Answer:
Step-by-step explanation:
Notation
We need some notation to make talking about sets easier. Consider,
A
=
{
1
,
2
,
3
}
.
Jonah runs 3/6 mile on sunday and 7/10 mile on monday. he uses the model to find that he ran a total of 1 mile. What mistake does Jonah make?
Answers
Jonah should shade 6 parts of 10 equal parts to show 3/5.
Hope this helps! :)
The functions f(x) and g(x) are defined below. (in the image attached)
Which expression is equal to f(x) + g(x)?
Answers
[tex] \frac{2x - 20}{ {x}^{2} + 6x - 40 } [/tex]
This is the right answer.
Refer to the attachment for the complete work.
Which of the following expressions are equivalent to 52n+n4n2 + 4n
5
2
n
+
n
4
n
2
+
4
n
?
Answers
Answer:
they just go straight what does it mean?