Answer:
Step-by-step explanation:
After graphing the function f(x) = [tex]4(\frac{1}{2})^{x}[/tex] we can see that the correct graph is the middle one in the picture. This is because with an x-input of 1 the value of 1/2 will stay the same and when multiplied by 4 it would give us a y-coordinate of 2 as seen in the middle graph. The y-coordinate keeps decreasing exponentially by half for every increase in the x-coordinate. A zoomed-in version of the graph can be seen in the attached picture below for a better understanding.
Jane't solves the inequality 23x+7≤5 and shows her solution on a number line, as shown below. x ≥ 3 All values of x ____________ to _________ make the expression have a value to ______________.
Answer:
values of x that makes the expression true are less than -2/23
Step-by-step explanation:
GIven the expression
23x + 7 ≤5
Subtract 7 from both sides
23x+7-7 ≤5 -7
23x < -2
x ≤ -2/23
Hence the values of x that makes the expression true are less than -2/23
Which table represents a quadratic function?
f(x)
x
x
fx)
f(x)
x
f(x)
-4
-5
-4
-4
2
-10
-4
0.5
47
-2
-2
-2
1-6
-2
1
ok
10
0
1
0
2
0
2
2
-7
N
4
2
6
co
N
4
4
2
4
7
4
10
4
8
0
9514 1404 393
Answer:
see below
Step-by-step explanation:
The x-values in each table are evenly-spaced (increasing by 2). So, the quadratic function can be identified by its second differences: they will be a non-zero constant.
Table 1 has first differences that are constant at 3. -2-(-5) = 3, for example. It represents a linear function.
Table 2 has first differences of 4, 8, 4, 4, neither constant, nor linearly increasing. The function does not have a name.
Table 3 has first differences of -9, -3, +3, +9, and these have differences of +6. This represents a quadratic function.
Table 4 has first differences of 0.5, 1, 2, 4. These have a constant ratio, as do the values in the table. It represents an exponential function.
The table that represents a quadratic function is C. Table 3.
What is a quadratic function?A quadratic function simply means a function that's in the form of f(x) = ax² + bx + c.
In this case, the table that represents a quadratic function is table 3. It has first differences of -9, -3, +3, +9, and these have differences of +6. It can be deduced that in the quadratic function, b and x are numbers.
Learn more about quadratic function on:
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What is the surface area of the right rectangular prism?
Answer:
Hello! answer: 250
Step-by-step explanation:
10 × 5 = 50
10 × 5 = 50
10 × 5 = 50
10 × 5 = 50
5 × 5 = 25
5 × 5 = 25
50 × 4 = 200
200 + 25 + 25 = 250 the total surface area is 250 hope that helps!
A rectangle has an area of 500 square meters. If it's length is 4x-3 meters and it's width is 2x+6 meters, what is the actual width of the rectangle?
Answer:
25 meters .
Step-by-step explanation:
The actual width of the rectangle is 24.5 meters.
What is area of rectangle?The area of rectangle equals the base(width) times the height.
A = w × h
Given
Area of rectangle = 500 square meters.
Length of rectangle = 4x - 3 meters
Width of rectangle = 2x + 6 meters
Area of rectangle = length × width
500 = (4x - 3) (2x + 6)
⇒ 500 = [tex]8x^{2}+24x-6x-18[/tex]
⇒ 500 = [tex]8x^{2}+18x-18[/tex]
⇒ 500 = [tex]2(4x^{2}+9x-9)[/tex]
⇒ [tex]\frac{500}{2}=4x^{2}+9x-9[/tex]
⇒ [tex]250=4x^{2}+9x-9[/tex]
⇒ [tex]4x^{2}+9x-9-250=0[/tex]
⇒ [tex]4x^{2}+9x-259=0[/tex]
⇒ 4x(x + 7) -37(x + 7) = 0
⇒ (x + 7) (4x - 37) = 0
⇒ x = -7, x = [tex]\frac{37}{4}[/tex]
-7 is not satisfied because it is a negative number.
By substituting x = [tex]\frac{37}{4}[/tex] in width of rectangle
Actual width of rectangle = 2x + 6
= 2( [tex]\frac{37}{4}[/tex]) + 6
= [tex]\frac{37}{2}[/tex] + 6
= [tex]\frac{37+12}{2}[/tex]
= [tex]\frac{49}{2}[/tex]
= 24.5 meters
Hence, the actual width of the rectangle is 24.5 meters.
Learn more about area of rectangle here
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on the product by rounding to the nearest that NO LINKS
Arithmetic
To round, go to the length behind it.
2,413
If it is four or under, you keep the four and, you must turn everything to the left side to zero.
If it is five and up, turn the number into 3000.
Note: This cannot be rounded to 2,500 and 2,400 due to the question being asked.
Meaning, the equation formed is:
5x2,000=10,000
Answer: 10,000
Step-by-step explanation:
the equation is 5 x 2000=10,000
because 1 - 4 let it stay and 5-9 higher up the grade so is was a 2 but you don’t look at the 2 it depends on the number that’s next to it which is 4 and that Means it stays and everything turns into a zero except the two remains it means 5×2000 = 10,000
i hope this helps
Please help!! Geometry question
(see attachment)
A silo has a diameter of 50 feet and a height of 30 feet with a cone on top adding another 10 feet of height. What is the volume of the silo.
Answer:
Step-by-step explanation:
Solve this by adding the volume of the cylinder with the volume of the cone. The volume of a cylinder is found from the equation:
pi * r^2 * h
In this case that gives pi * 50^2 * 30 = 75000pi
The area of the cone is found from the equation:
pi * r^2 * h *1/3
In this case you get pi * 50^2 * 10 * 1/3= 8333.pi
Add the two to ger 83333.333*pi ~261799
An exponential relationship has a growth factor of3and y-intercept of 4.Evalute the function that represents the function that represents this relationship where x=10
Answer:
[tex]f(10)= 236196[/tex]
Step-by-step explanation:
Given
[tex](x,y) = (0,4)[/tex] --- y intercept
[tex]b = 3[/tex] --- growth factor
Required
[tex]f(10)[/tex]
An exponential function is represented as:
[tex]y = ab^x[/tex]
[tex](x,y) = (0,4)[/tex] means
[tex]4=a * b^0[/tex]
[tex]4=a *1[/tex]
[tex]a= 4[/tex]
So, we have:
[tex]y = ab^x[/tex]
[tex]y = 4(3)^x[/tex]
or
[tex]f(x)= 4(3)^x[/tex]
When x is 10, the value of the function is:
[tex]f(x)= 4(3)^x[/tex]
[tex]f(10)= 4(3)^{10[/tex]
[tex]f(10)= 236196[/tex]
The balance in two separate bank accounts grows each month at different rates. The growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x + 12. In what month is the f(x) balance greater than the g(x) balance? (2 points)
a
Month 6
b
Month 5
c
Month 4
d
Month 3
Pretty sure it's the 6 month
What is an equation of the line that passes through the points (6, -3)and (−6,−5)?
Answer:
y = 1/6x -4
Step-by-step explanation:
First find the slope
m= ( y2-y1)/(x2-x1)
m=(-5 - -3)/( -6 -6)
= (-5+3)/ (-6-6)
= -2/-12
= 1/6
The slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = 1/6 x +b
Substitute a point into the equation
-5 = 1/6(-6) +b
-5 = -1+b
Add 1 to each side
-4 = b
y = 1/6x -4
Answer:
y=1/6x-4
Step-by-step explanation:
Which of the following is a rational number but not an integer?
74, 3/10, -25, or 170
Answer:
3/10Step-by-step explanation:
As,
Integers includes whole numbers, and negative of the whole numbers.
And Rationals includes every fraction, Integers and negative fraction.
So,
170, -25, and 74 are both Integers and Rationals.
But,
Only 3/10 is a fraction included only in rationals and not in Integers
Math help please show work thanks so much
Answer:
1.1+2. =3
2.1+2+3 =6
3.1+2+3+4 =10
4.1+2+3+4+5=15
5.1+2+3+4+5+6=21
6.1+2+3+4+5+6+7=28
triangle numbers
Answer:
Step-by-step explanation:
Diagram (n) Number of circles ([tex]T_n[/tex])
1 3
2 6
3 10
4 15
5 21
6 28
Pattern:
[tex]T_n = \frac{(n+1)(n+2)}{2}[/tex]
Where n = diagram number,
OR
Diagram Number of circles
1 1 + 2
2 1 + 2 + 3
3 1 + 2 + 3 + 4
4 1 + 2 + 3 + 4 + 5
5 1 + 2 + 3 + 4 + 5 + 6
6 1 + 2 + 3 + 4 + 5 + 6 + 7
n 1 + 2 + 3 + 4 + 5 + . . . + (n + 1)
HEY PLEASE HELPP!!!!!!
Answer:
infinitely
many solutions hope that helps
Answer:
Infinitely many solutions
Step-by-step explanation:
Hi there!
When two graphs intersect each other at one distinct point, it has one solution.
When two graphs don't intersect each other at all, there are no solutions.
When two graphs completely overlap each other, there are infinite solutions. This is the case here; the two lines completely overlap each other and it's as if we're looking at one line.
I hope this helps!
what is meaning of volume
Step-by-step explanation:
Volume is the measure of the capacity that an object holds. For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml. Volume can also be defined as the amount of space occupied by a 3-dimensional object or solid shape.
Answer:
the amount of space that a substance or object occupies.
basically the volume of a container, like space in a container.
Mind answering this? It's due in a few days and I'll give the correct answer Brainliest.
Match the values of a, b, and c given the equation in the standard form below:
h = -16t^2 + 8t + 24
Answer:
a = -16 b = 8 and c =24
Step-by-step explanation:
h = -16t^2 + 8t + 24
A quadratic function can be in the form
ax^2 + bx+c
Replace x with t
-16 is the coefficient of the squared term 8 is the coefficient of the linear term and 24 is the constant
a = -16 b = 8 and c =24
An 8 in by 8 in square air vent is shown where AG = 8 inches. BF is the midsegment of AADG and CEis the midsegment of ADBF. Which of the
following is measure of CE2
Answer:
2
Step-by-step explanation:
if BF is the mid-segment of the triangle ADG then its measure will be half of the measure of AG so 0.5*8=4 by the (mid-segment theorem)
then CE is the mid-segment of triangle BDF, so its measure is will be half of BF, so 0.5*4=2
Answer:
CE = 2
Step-by-step explanation:
The midsegment is half the length of the third side of the triangle, then
BF = [tex]\frac{1}{2}[/tex] × DG = [tex]\frac{1}{2}[/tex] × 8 = 4 , and
CE = [tex]\frac{1}{2}[/tex] × BF = [tex]\frac{1}{2}[/tex] × 4 = 2
If f(1) =4 and f(n) = -4f(n-1) + n then find the value of f(5)
======================================================
Work Shown:
We use the first term to build to the second term.
Plug in n = 2
f(n) = -4f(n-1) + n
f(2) = -4f(2-1) + 2 ..... n replaced with 2
f(2) = -4f(1) + 2
f(2) = -4*4 + 2 ......... f(1) replaced with 4; since f(1) = 4
f(2) = -16 + 2
f(2) = -14
The second term is -14
------------------
Repeat for n = 3
f(n) = -4f(n-1) + n
f(3) = -4f(3-1) + 3 ..... n replaced with 3
f(3) = -4f(2) + 3
f(3) = -4*(-14) + 3 ......... f(2) replaced with -14
f(3) = 56 + 3
f(3) = 59
The third term is 59
------------------
We keep going until we get to f(5)
Plug in n = 4
f(n) = -4f(n-1) + n
f(4) = -4f(4-1) + 4 ..... n replaced with 4
f(4) = -4f(3) + 4
f(4) = -4*(59) + 4 ......... f(3) replaced with 59
f(4) = -236 + 4
f(4) = -232
The fourth term is -232
------------------
Just one more section
Plug in n = 5
f(n) = -4f(n-1) + n
f(5) = -4f(5-1) + 5 ..... n replaced with 4
f(5) = -4f(4) + 5
f(5) = -4*(-232) + 5 ......... f(4) replaced with -232
f(5) = 928 + 5
f(5) = 933
The fifth term is 933
------------------
As you can see, recursive sequences can get tedious for fairly large values of n. We need to compute every term before f(5) to figure it out. So if your teacher needed you to compute something like f(10), then it would get even worse. Sometimes it's possible to find a closed formula for it, but it may be tricky to find.
please please Help me!!!!!
Answer:
19,23
Step-by-step explanation:
9+x-7≥ 21
Combine like terms
2+x≥21
Subtract 2 from each side
2+x-2 ≥21-2
x≥19
Any number greater than or equal to 19
Help me answer ??????
Answer:
the triangle is not a right angle
Step-by-step explanation:
5²+12²=169
15²=225
what is x the missing side length in triangle DEF
Answer:
x = 9.75
Step-by-step explanation:
We know that Triangle ABC and DEF are congruent, therefore;
[tex]\frac{CB}{FE} = \frac{AB}{DE}[/tex]
[tex]\frac{12}{9 }=\frac{13}{x}[/tex]
=> 12*x = 9*13
=> 12x = 117
=> x = 117 / 12
=> x = 9.75
Hope this helps!
Need help ASAP please and thank you
Bob's car uses 6 L of gasoline per 100 km. How many litres of gas
will he use for a 400 km trip?
Astatine is a radioactive chemical element that was first produced at the University of California, Berkeley in 1940. The half-life of astatine is 8 hours.
Write an exponential function that models the mass in grams y remaining from a 560-gram sample after t hours.
When will approximately 198 grams remain in the sample?
How many grams will remain after 3 days? Express your answer as a decimal rounded to the nearest hundredth.
Answer:
Approximately 198 grams will remain in the sample after 12 hours.
Approximately 1.09 grams will remain after three days.
Step-by-step explanation:
We can write an exponential function to model the situation. The exponential model for decay is:
[tex]\displaystyle A=A_0(r)^{t/h}[/tex]
Where A₀ is the initial amount, r is the rate of decay, t is the time that has passed (in this case in hours), and h is the half-life.
Since the half-life of the chemical, astatine, is 8 hours, h = 8 and r = 0.5. The initial amount is 560 grams. Hence:
[tex]\displaystyle A=560\left(\frac{1}{2}\right)^{t/8}[/tex]
To find when the sample will have approximately 198 grams, remaining, let A = 198 and solve for t:
[tex]198=560(0.5)^{t/8}[/tex]
Solve for t:
[tex]\displaystyle \frac{198}{560}=\frac{99}{280}=\left(\frac{1}{2}\right)^{t/8}[/tex]
Take the natural log of both sides:
[tex]\displaystyle \ln\frac{99}{280}=\ln\left(\left(\frac{1}{2}\right)^{t/8}\right)[/tex]
Using logarithm properties:
[tex]\displaystyle \frac{t}{8}\ln\frac{1}{2}=\ln\frac{99}{280}[/tex]
So:
[tex]\displaystyle t=\frac{8\ln(99/280)}{\ln(0.5)}=11.9994...\approx 12\text{ hours}[/tex]
Approximately 198 grams remain in the sample after 12 hours.
Three days is equivalent to 72 hours. Hence, t = 72:
[tex]\displaystyle A(72)=560\left(\frac{1}{2}\right)^{72/8}=1.09375\approx 1.09\text{ grams}[/tex]
Approximately 1.09 grams of astatine will remain after three days.
A circular plate has circumference 27 inches. What is the area of this plate? Use 3. 14 for a The area of this plate is about square inches (Round the final answer to the nearest whole number as needed Round all intermediate values to the nearest thousandth as needed)
Answer:
58.01 in^2
Step-by-step explanation:
Which of the following expressions is correctly written in scientific notation?
Answer:
The 3rd choice.
Step-by-step explanation:
The third choice has what it takes to be a scientific notation.
I need a very detailed in depth explanation of laws of Sine and Cosine. (With examples, Law rules etc.)
Answer:
A law stating that the square of a side of a plane triangle is equal to the sum of the squares of the other two sides minus twice the product of the other sides multiplied by the cosine of the angle between them.As we learned, sine is one of the main trigonometric functions and is defined as the ratio of the side of the angle opposite the angle divided by the hypotenuse. It's important for finding distances or height and can also be used to find angle measures, which are measured in radians.Law of cosines signifies the relation between the lengths of sides of a triangle with respect to the cosine of its angle. ... If ABC is a triangle, then as per the statement of cosine law, we have: a2 = b2 + c2 – 2bc cos α, where a,b, and c are the sides of triangle and α is the angle between sides b and c.RULE OF LAW Defined
The rule of law is a principle of governance in which all persons, institutions and entities, public and private, including the State itself, are accountable to laws that are publicly promulgated, equally enforced and independently adjudicated, and which are consistent with international human rights norms and standards. It requires, as well, measures to ensure adherence to the principles of supremacy of law, equality before the law, accountability to the law, fairness in the application of the law, separation of powers, participation in decision-making, legal certainty, avoidance of arbitrariness and procedural and legal transparency.A rule of law framework that includes the following:
Constitution or its equivalent, as the highest law of the land;A clear and consistent legal framework, and implementation thereof;Strong institutions of justice, governance, security and human rights that are well structured, financed, trained and equipped;Transitional justice processes and mechanisms; A public and civil society that contributes to strengthening the rule of law and holding public officials and institutions accountable.[tex]\color{yellow}{}[/tex]
Given v = u + 5t; Find v when u= -15 and t=4
v = u + 5t
v = -15 + 5(4)
v = -15 + 20
v = 5
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]v = u + 5t[/tex]
Given,
[tex]u = - 15 \\ t = 4 \\ v = \: ?[/tex]
To find the value of v, we must substitute the values of u & t in the equation ⇻ v = u + 5t.
[tex]v = u + 5t \\ v = ( - 15) + 5(4) \\ v = - 15 + 20 \\ v = 5[/tex]
✐ The value of v is 5.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
What is the solution set for -2n – 2 > 2?
Answer:
n < -2
Step-by-step explanation:
-2n – 2 > 2
-2n (– 2 + 2) > 2 + 2
-2n > 4
-2n/-2 > 4/-2
n < -2
[please help]What are the values of x and y
Answer:
536363663737272727 4th july and im present
A sighting is made of a sailboat from a lighthouse. If the lighthouse is 123.5 m above
the level of the water, how far is the sailboat from the shore if the angle of depression
is 18°?
