Answer:
downward, maximum value
Step-by-step explanation:
f(x) = - x^2 - 3x + 1
The negative in front of the x^2 means the graph opens downwards
The y intercept is 1
Because it opens downward it has a maximum value
Answer:
Opens downwards and has a maximum value
Step-by-step explanation:
f(x) = -x² - 3x + 1
a is the coefficient of x², which is -1
Since a < 0, it's a concave down graph which opens downwards. Therefore it has a maximum turning point
An orange is shot up into the air with a catapult. The function h given by h(t)=15+60t-16t^2 models the orange’s height, in feet, t seconds after it was launched select all the true statements about the situation.
Complete question is:An orange is shot up into the air with a catapult. The function h given by h(t) = 15 + 60t - 16t² models the orange’s height, in feet, t seconds after it was launched.
Select all the true statements about the situation.
Options:
1. The domain of function h only contains values greater than or equal to 0.
2. The orange is at the same height 1 second after launch and 2 seconds after launch.
3. After 3 seconds, the orange has hit the ground.
4. The orange is 15 feet above the ground when it is launched.
5. The value t = 10 does not belong to the domain of h.
Answer:
Option 1 - True
Option 2 - False
Option 3 - False
Option 4 - True
Option 5 - True
Step-by-step explanation:
Looking at the options,
-The domain is the x or t value and it is time. Now, time can only be positive or greater than or equal to zero i.e. t ≥ 0. Thus, option 1 is true.
- At t = 1 second;
h = 15 + 60(1) - 16(1)²
h = 15 + 60 - 16 = 59 ft
Also, at t = 2 seconds;
h = 15 + 60(2) - 16(2)²
h = 15 + 120 - 64 = 71 ft
So,value of h is not the same at t = 1 and t = 2. Thus, option 2 is not true.
- The orange will hit the ground when h(t) = 0.
However, at t = 3;
h(t) = 15 + 60(3) - 16(3)²
h(t) = 51 ft
h(t) is not equal to zero at t = 3, so option 3 is false
- when the orange is launched it is at time t = 0.
Thus,
h(0) = 15 + 60(0) - 16(0)²
h(0) = 15 ft
So option 4 is true.
- At t=10, h(t) = 15 + 60(10) - 16(10)²
h(10) = -985
This means the orange would be below ground level and thus doesn't belong to the domain of h, so option 5 is true.
Answer:
1 true 4 true and 5 true the rest are false
Step-by-step explanation:
Please help!
a The v-intercept in the year 2010 is less than the y-intercept in the year 2015.
b The v-intercept indicates that the value of the statue was $19,000 in they year 2010.
c The v-intercept indicates that the value of the statue increased by 12% in one year.
d The v-intercept is 112% greater than the value of the statue in 2010.
What is the measure of 0 in radians?
Enter an exact expression.
radians
3
7
In the diagram, is a central angle.
Answer:
Θ = π radians
Step-by-step explanation:
The central angle is equal to the arc that subtends it, that is
Θ = π
write 42 as a product of prime factors
We can create a prime factorization tree using the multiples of 42:
42
21 2
7 3
We multiply the numbers that aren't divisble by anything.
7 * 3 * 2 = 42
Best of Luck!
how do you find volume on cylinder with radius and height
Answer:
V = pi r^2 h
Step-by-step explanation:
The formula for the volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
Answer:
pi × r² × h
Step-by-step explanation:
Formulae for volume of a cylinder is:
V = pi × r² × h
Where,
r is the radius
h is the height
For pi, either use the value on the calculator or an approximate value of 3.14
Study the topographic map.
Which best describes the location of the picnic area?
X 877
Two creeks flow through the picnic area.
Several steep slopes are found inside the picnic area.
The elevation changes from 635 to 600 at the picnic area.
The highest point inside the picnic area has an elevation
of 859.
5
800
700
Equation
700
635
+ Picnic Area
600
Answer:
The correct answer is C) The elevation changes from 635 to 600 at the picnic area.
Please Find the surface area of the sphere. Round your answer to the nearest hundredth.
A cube has side length a.The side lengths are decreased to 30% of their original size.Write an expression in simplest form for the volume of the cube in terms of a.
Answer:
Volume V = 0.027a^3
Step-by-step explanation:
Let a represent the length of the side length of the cube.
a.The side lengths are decreased to 30% of their original size;
l = 30% of a
l = 0.3a .....1
The volume of a cube can be expressed as;
V = l × l × l
V = l^3 .......2
Where;
l = side length
Substituting the value of l into equation 2;
V = l^3 = (0.3a)^3
V = 0.027a^3
Volume V = 0.027a^3
PICK ME!!
How do you use congruence and similarity criteria to prove relationships in geometric figures?
Answer:
Well, as it turns out, when two figures are similar or congruent, they have certain properties, and these properties can be used to prove relationships between the figures. When two figures are similar figures, they have the following properties: Corresponding angles have equal measure.
Step-by-step explanation:
Lightning strikes Earth 1000 times in 10 seconds. a. How many times does lightning strike in 12 seconds? Lightning strikes times in 12 seconds. Question 2 b. How many seconds does it take for lightning to strike 7250 times? It takes seconds for lightning to strike 7250 times.
Answer:
1000/10x12= answer
Step-by-step explanation:
Part A:
Divide the number of lightning strikes to the number of seconds to find the average rate.
1000 / 10 = 100 strikes per second
Now, multiply by 12 to find the number of strikes that occurred.
100 * 12 = 1200 strikes in 12 seconds
Part B:
Divide the number of seconds to the number of lightning strikes to find the average rate.
10 / 1000 = 0.1 seconds per strike
Now, multiply by 7250 to find the number of seconds that passed.
0.1 * 7250 = 72.5 seconds in 7250 strikes
Best of Luck!
9.3 with a bar on top as a fraction
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
Answer:
(0, 5)
Step-by-step explanation:
To solve for the y-intercept, plug in 0 for all x values and solve.
For this question, we are concerned with the movement of an object
along a path in the plane. We are assuming that the plane is a
coordinate plane and the object starts at the point. As the object
moves along the path, each point on that path has two coordinates.
The coordinates depend on the distance traveled along the path. Let
us call this distance S, the length of the path from the origin to a point
P on the path.
What value of s yields the coordinate (3, 4)?
What value of s yields the coordinate (9, 1)?
x (6) =
y (7) =
Answer:
We have to questions here where we need to find the distance from the origin to each given point.
For (3,4).The formula for distance is
[tex]s=\sqrt{x^{2}+y^{2} }[/tex]
[tex]s_{(3,4)}=\sqrt{3^{2}+4^{2} } =\sqrt{9+16}=\sqrt{25}\\ s_{(3,4)}=5[/tex]
Therefore, the value s that yields the coordinate (3,4) is 5 units.
For (9,1).[tex]s_{(9,1)}=\sqrt{9^{2}+1^{2} } =\sqrt{81+1}=\sqrt{82}\\ s_{(9,1)} \approx 9.05[/tex]
Therefore, the value s that yields the coordinate (9,1) is 9.05 units, approximately.
The values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively
The coordinates are given as:
(3,4) and (9,1)
The single value that yields the coordinates is calculated as:
[tex]s = \sqrt{x^2 + y^2}[/tex]
For (3,4), we have:
[tex]s = \sqrt{3^2 + 4^2} = 4[/tex]
For (9,1), we have:
[tex]s = \sqrt{9^2 + 1^2} = 9.1[/tex]
Hence, the values of s that yield the coordinates (3.4) and (9,1) are: 5 and 9.1, respectively
Read more about coordinates at:
https://brainly.com/question/17206319
what is the amount paid or charged for something.
Answer:
cost
Step-by-step explanation:
Answer:
It is the cost
Step-by-step explanation:
What are they?
Equal Lines?
Parallel Lines?
perpendicular Lines?
None of the above?
Answer:
Equal lines
Step-by-step explanation:
-5x-y = -4
Multiply by 3
-15x -3y = -12
This is the same as the second equation
That means the lines are the same
They are equal lines
factor: 10xsquared -11x-6=
Answer:
(5x+2)(2x-3)
Step-by-step explanation:
this is the answer
Simplify the complex fraction.
Alw
2 3/4 1 1/8
Answer:
= 99/32
Step-by-step explanation:
2 3/4 1 1/8
= 11/4 * 9/8
= 99/32
Claire owns a local bakery and sells boxes of muffins. Each box contains 6 muffins. If she sells 7 boxes of muffins by closing time on Thursday, how many muffins did she make to fill all the boxes that she sold?
42
0.9
1
13
Answer: Claire made 42 muffins by closing time
Step-by-step explanation:
Pretty simple math just multiply 6 muffins by 7 boxes and you get your answer.
Suppose compact fluorescent light bulbs last, on average, 11,500 hours. The distribution is normal and the standard deviation is 400 hours. What percent of light bulbs burn out within 12,300 hours?
Answer:
2.275%
Step-by-step explanation:
The first thing to do here is to calculate the z-score
Mathematically;
z-score = (x-mean)/SD
from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours
Plugging the values we have;
z-score = (12,300-11,500)/400 = 800/400 = 2
Now, we want to calculate P(z ≤ 2)
This is so because we are calculating within a particular value
To calculate this, we use the z-score table.
Mathematically;
P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275
To percentage = 2.275%
The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation I (d B) = 10 log left-bracket StartFraction I Over I Subscript 0 Baseline EndFraction Right-bracket, where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when I = 10 Superscript 32 Baseline (I Subscript 0)?
Answer:
The intensity in decibel is 320 decibelStep-by-step explanation:
Given the intensity, or loudness, of a sound measured in decibels (dB), according to the equation [tex]I (dB)= 10log(\frac{I}{Io} )[/tex] where;
I is the intensity of a given sound and
[tex]Io[/tex] is the threshold of hearing intensity
To get I(dB) when [tex]I=10^{32} Io[/tex]
We will substitute the value of I = [tex]I=10^{32} Io[/tex] into the equation above to have;
[tex]I (dB)= 10log(\frac{10^{32}Io }{Io} )\\I(dB)=10log10^{32}\\ I(dB)=32*10log10\\[/tex]
Since log10 = 1;
[tex]I(dB)=32*10(1)\\I(dB)=320[/tex]
The intensity in decibel is 320 decibel
Answer:
Its D or 80
Step-by-step explanation:
I=10^8 (I subscript 0) can be written as I/I subscript 0, and you can plug that right into the log to get 80.
Can someone Help me with this
Answer:
33.165
Step-by-step explanation:
Answer:
33.165
Step-by-step explanation:
4.95*6.7= 33.165
hope this helps
What is the area of the circle with a D equals 10
Answer:
A =78.5
Step-by-step explanation:
We need the radius to find the area of a circle
r = d/2 = 10/2 =5
The area of a circle is given by
A = pi r^2
A = 3.14 (5)^2
A =3.14 (25)
A =78.5
Oline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to her quadratic equation? Round to the nearest tenth if necessary. Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction
Answer:
The solution to the equation are [tex]5+\frac{\sqrt{42} }{2\\} \ and \ 5-\frac{\sqrt{42} }{2\\}\\[/tex]
Both of his values are positive real numbers
Step-by-step explanation:
The general formula of a quadratic equation is expressed as [tex]ax^{2}+bx+c = 0\ where;\\x = -b\±\frac{\sqrt{b^{2}-4ac } }{2a}[/tex]
Given the expression 0 = x² – 5x – 4 which can be rewritten as shown below;
x² – 5x – 4 = 0
Comparing this to the general equation; a = 1, b = -5, c= -4
To get the solution to the quadratic equation, we will use the general formula above;
[tex]x = -b\±\frac{\sqrt{b^{2}-4ac } }{2a}\\x = -(-5)\±\frac{\sqrt{(-5)^{2}-4(1)(-4) } }{2(1)}\\\\x = 5\±\frac{\sqrt{25+16 } }{2}\\x =5\±\frac{\sqrt{41} }{2}\\x = 5+\frac{\sqrt{42} }{2}\ and \ 5-\sqrt{42} /2\\[/tex]
Both of his values are positive real numbers
Answer: D.–0.7
Step-by-step explanation: hope this helps :)
Graph the inequality of y less than or equal to2x + 2?
First you graph "y = 2x +2." You shade in the region below it, because it's y "LESS THAN" and you keep the line solid (not dotted) because it's "equal to" 2x+2 too.
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3-2: MathXL for School: Practice & Problem Solving
3.2.PS-8
Find the value of x when 6 - 2x = 5x - 9x + 10.
The value of x is
Answer:
Step-by-step explanation:
6 - 2x = 5x - 9x + 10 {add the like terms}
6 - 2x = - 4x + 10 {add (-6) to both side}
6 - 2x - 6 = - 4x + 10 - 6
-2x = - 4x + 4 {add 4x to both sides}
-2x + 4x = -4x + 4 + 4x
2x = 4 {divide both sides by 2}
2x/2x = 4/2
x = 2
Sophie has to choose seven different positive (non zero) whole numbers whose mean is 7.
What is the largest possible number that she could choose as one of the seven numbers?
The largest possible number that she could choose as one of the seven numbers is _ _ because
Answer:
The largest possible number is 28.
Step-by-step explanation:
Sophie has to choose seven different numbers whose mean is 7, this means that the sum of the numbers is 49. (since the mean is the sum of them all divided by 7 and if we want the mean to be 7, then the sum would need to be 49).
We are asked what is the largest possible number she could choose, so therefore, the other six numbers should be non-zero and the smallest ones so she would have to choose the numbers from 1 to 6 first.
Let's see how much they sum up: [tex]1+2+3+4+5+6=21[/tex]
So now, she needs one more number to sum up to 21 and that will give her 49 in total, this number is 28 (since 28 + 21 =49).
Thus, 28 is the largest number she could choose because if she chose any other greater number the mean would be bigger than 49.
Deposits into a bank account are represented by numbers. Withdrawals from the account are represented by negative numbers. Which amount represents a withdrawal of less than $ 200?
Answer:
The answer is (-$200) to the left
Step-by-step explanation:
Solution
It is assumed that when a number is positive, it is a distance to the right, also when a number is negative, it is a distance to the left. If a positive number is referred to as deposit to a bank account, then a negative number is a withdrawal from that bank account.
So, If a positive number means addition, then a negative number would also mean subtraction.
The amount that represents a withdrawal of less than $200 would be (-$200)
What is the theoretical probability of rolling a 3?
Answer:
1/6
Step-by-step explanation:
the number on the bottom of the fraction (denominator) is equal to the total number of possibilities (in this case there are 6 possibilities). for the number on top (the numerator) we are trying to work out the probability of rolling a 3. a 3 is only 1 of the 6 options (1, 2, 3, 4, 5, 6) so the number on top is 1.
I hope this was helpful :-)
Find the sum of the first 15 terms: {12, 36, 108, . . . }.
Answer:
Step-by-step explanation:
hello : here is an solution
PLEASE HELP ME! Awarding brainliest!!
Pythagorean theorem.
Answer:
116.6
Step-by-step explanation:
100^2 + 60^2 = c^2
1360 = c^2
square root of 1360 is 116.6
Answer:
Shortcut = 116.62
Step-by-step explanation:
Hypotenuse = [tex]\sqrt{a^{2} +b^{2} } = \sqrt{60^{2} +100^{2} } = 116.61904 = 116.62[/tex]
