Answer:
an = 8-3(n-1)
an = 11 - 3n
Step-by-step explanation:
This is an arithmetic sequence which is defined by
an = a1 + d(n-1)
where a1 is the first term of the sequence and d is the common difference
a1 = 8
d = a2-a1
d = 5-8 = -3
an = 8 + -3(n-1)
an = 8-3(n-1)
We can simplify this by distributing the -3
an = 8 -3n +3
an = 11 - 3n
Your text suggests that you look for an agent who has been in the insurance business for how long?
A. Less than 1 year
B. At least 5 years
C. At least 2 years
D. At least 1 year
Find the value of x.
Answer:
x = 6
Step-by-step explanation:
Since the triangle is right use the sine ratio to solve for x, that is
sin30° = [tex]\frac{AB}{AC }[/tex] = [tex]\frac{x}{12}[/tex]
Multiply both sides by 12
12 × sin30° = x, hence
x = 6
Figure ABCD is a parallelogram. What are the measures of angles B and D?
Answer:
c
Step-by-step explanation:
The measures of angle B and angle D of the given parallelogram will be 55°, i.e. option A.
What is parallelogram?Parallelogram is a 2D shape, having opposite sides parallel and equal. Also the opposite angles of parallelogram are congruent means equal.
We have,
A Parallelogram with,
Angle B = (2n + 15)° and,
Angle D = (3n - 5)°
So,
As mentioned above in the definition that the opposite angles of parallelogram are congruent means equal.
i.e.
Angle B = Angle D
i.e.
2n + 15 = 3n - 5
On solving we get,
20 = n
⇒ n = 20,
So,
Angle B = (2n + 15)° = (2 * 20 + 15)° = 55°
And,
Angle D = (3n - 5)° = (3 * 20 - 5)° = 55°
Hence, we can say that the measures of angle B and angle D of the given parallelogram will be 55°, i.e. option A.
To know more about Parallelogram click here
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Which of these people has balanced their checkbook correctly?
OA.
Gary: The balance in his check register is $500 and the balance in his bank statement is $500.
B.
Gail: The balance in her check register is $400 and the balance in her bank statement is $500.
C.
Gavin: The balance in his check register is $500 and the balance in his bank statement is $510.
Answer:
A! Straight up!
what is the difference between 330 and -282
Answer: the correct answer would be 48
Step-by-step explanation:
Answer:
Step-by-step explanation: the answer would be 48 i hope this helped and hope you are having a great day
GEOMETRY Please help, urgent
ANSWER
66 cubic units
EXPLANATION
The volume of a triangular prism is the area of the triangular base times the height of the prism.
We calculate the volume using the formula:
[tex]volume = \frac{1}{2} bh \times H[/tex]
where b=4 is the base of the triangle and h=3 is the height of the triangle.
H=11 is the height of the prism.
We substitute these values to get;
[tex]volume = \frac{1}{2} \times 4 \times 3 \times 11[/tex]
[tex]volume = 66 \: cubic \: \: units[/tex]
Which option shows a graph of 3y+18>5x
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]3y+18 > 5x[/tex]
The solution of the inequality is the shaded area above the dashed line
The equation of the dashed line is [tex]3y+18=5x[/tex]
The slope of the dashed line is positive (m=5/3)
The x-intercept of the dashed line is (3.6,0) (value of x when y is zero)
The y-intercept of the dashed line is (0,-6) (value of y when x is zero)
therefore
using a graphing tool
The graph in the attached figure
What is X intercept of the graph of the function F(x) =x^2-16+64
Answer: [tex]x=8[/tex]
Step-by-step explanation:
Given the quadratic function [tex]0=x^2-16+64[/tex], you need to follow these steps:
1. You must substitute [tex]f(x)=0[/tex] into the function:
[tex]0=x^2-16+64[/tex]
2. Now you need to factor the quadratic equation. Choose two numbers whose sum be -16 and whose product be 64.
These numbers are: -8 and -8.
Since the root appears twice, it is a "Double root". Then:
[tex](x-8)^2=0\\\\x=8[/tex]
solve for x:4x-2>6x+8
Answer:
The second option
Step-by-step explanation:
4x - 2 > 6x + 8
add 2 to both sides
4x - 2 + 2 > 6x + 8 + 2
2 cancel -2 and it remains
4x > 6x + 10
Now, subtract 6x from both sides
4x -6x > 6x -6x + 10
it remains
-2x > 10
divide via by -2
x > 10/-2
x < -5
When you multiply or divide by a negative, the inequality sign changes
Please mark as brainlest and have a good night.
Answer:
x < −5
Step-by-step explanation:
what is the y-value when x equals 25? y= 650 - 15(x)
Answer:
y= 275 when x is 25
Ajar contains 6 chocolate chip cookies and 9 peanut butter cookies. Richard grabs 3 cookies at random to pack in his lunch.
What is the probability that he drew 2 chocolate chip cookies and 1 peanut butter cookie?
Answer: 20%
Step-by-step explanation:
There are 15 total cookies. Divide 3 by 15, 3 being how many cookies he took out. Then you get 0.2. Move the decimal over two and you have 20%.
The sum of three-fifth of w and three-fourths of g ,minus 5
Answer:
[tex]=\frac{12w+15g-100}{20}[/tex]
Step-by-step explanation:
Three-fifth of w is 3/5 of w
[tex]=\frac{3}{5} *w=\frac{3}{5} w[/tex]
Three-fourths of g is three-quarters of g
[tex]=\frac{3}{4} *g=\frac{3}{4} g[/tex]
find the sum of the fractions then subtract 5
[tex]=\frac{3}{5}w-\frac{3}{4} g-5\\\\\\=\frac{3}{5}w-\frac{3}{4}g-\frac{5}{1}[/tex]
The LCM here is 20 i.e 5*4
=[tex]\frac{3}{5} w+\frac{3}{4}g-\frac{5}{1}=\frac{12w+15g-100}{20} \\[/tex]
What is the value of f(x) = 9when x = -2?
[tex]f(x)=9\Longrightarrow f(-2)=9[/tex]
The function is a constant. No matter the input the output will always be equal to 9.
Hope this helps.
r3t40
-6.3x+14 and 1.5x-6
answer in simplified form
Answer:
The simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8
Step-by-step explanation:
We have to simplify the following
-6.3x+14 and 1.5x-6
it can be written as:
=(-6.3x+14) + (1.5x-6)
Adding the like terms
=(-6.3x+1.5x)+(14-6)
= (-4.8x)+(8)
= -4.8x+8
So, the simplified form of -6.3x+14 and 1.5x-6 is -4.8x+8
4/9 of students at a school are boys. If there are 2610 students at the school, how many are girls??
If [tex]\dfrac{4}{9}[/tex] of students are boys, then [tex]1-\dfrac{4}{9}=\dfrac{5}{9}[/tex] of students are girls.
[tex]\dfrac{5}{9}\cdot 2610=1450[/tex]
1450 girls
Answer:
1450
Step-by-step explanation:
5/9 of 2160 would mean there are 1450 girls in the school.
Sorry about my last answer, I made a mistake. Feel free to give the other person brainliest.
Which of the following shows the graph of y=2e^x
The answer is:
The first option shows the graph of the given function.
Why?Since the given function is an exponential function, we are looking for an exponential function graph, with a function that intercepts the y-axis at y equal to 2, or the point (0,2).
So, since we are given just one exponential graph, let's find the y-axis intercept in order to assure that the correct option is the first graph.
The function is:
[tex]y=2e^{x}[/tex]
Finding the y-axis intercept, we need to make "x" equal to 0, so:
[tex]y=2e^{0}[/tex]
We need to remember that any number elevated or powered to 0 is equal to 1, so:
[tex]y=2*1=2[/tex]
We have that the function intercepts the y-axis at y equal to 2, or the point (0,2).
Finding the x-axis intercept, we need to make "y" equal to 0, so:
[tex]y=2e^{x}[/tex]
[tex]0=2e^{x}[/tex]
[tex]Ln(0)=Ln(2e^{x})[/tex]
Now, since the natural logarithm of "0" does not exist in the real numbers, we can see that there is not x-axis intercept for this function.
Hence, the first option shows the graph of the given function.
Have a nice day!
Note: I have attached a picture for better understanding.
Answer:
Graph A
Step-by-step explanation:
Correct on edge!
3x + 4y=17
- 4x – 3y = - 18
Answer:
3
Step-by-step explanation:
Answer:
The correct answer is (3,2)
A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?
A. p(x), because an increasing exponential function will always exceed an increasing quadratic function until their graphs intersect
B. t(x), because an increasing quadratic function will always exceed an increasing exponential function until their graphs intersect
C. p(x), because an increasing quadratic function will eventually exceed an increasing exponential function
D. t(x), because an increasing exponential function will eventually exceed an increasing quadratic function
Answer:
A. p(x) , because an increasing exponential function will always exceed an increasing quadratic function untill their graph intersect.Step-by-step explanation:
Given two functions are one is quadratic function and other is exponential function.
From the given graph of quadratic function and exponential function we can see that the graph of exponential function intersect y -axis at (0,1) and can never be zero and the graph of quadratic function intersect axis at origin (0,0).
From the given graph we can see that graph of exponential function increasing greater than an increasing quadratic function untill their graph intersect.
From the given graph we can see that the graph of an increasing quadratic function eventually exceed after intersection the graph of an increasing exponential function.
In option
A. p(x) , because an increasing exponential function will always exceed an increasing quadratic function untill their graphs intersect.Therefore, it is true we can see from the given graph.B. t(x) , because an increasing quadratic function will always exceed an increasing exponential function untill their graphs intersect. Therefore, it is false.We can see from given graph.
C. p(x) , because an increasing quadratic function will eventually exceed an increasing exponential function . It is false , because after intersection not eventually ,the graph of an increasing quadratic function will exceed an increasing exponential function .
D. t(x) , because an increasing exponential function will eventually exceed an increasing quadratic function . It is false , we can see from given graphs of two functions.
Which expression is a factor of 12x2 + 29x – 8?
x – 8
2x – 1
3x + 8
4x + 1
Answer:
3x + 8
Step-by-step explanation:
Please use the symbol " ^ " to indicate exponentiation: 12x^2 + 29x – 8.
To answer this question, try dividing this 12x^2 + 29x – 8 by each of the given possible factors, one by one. If the end result is a zero remainder, that indicates that the particular factor is in fact a factor of 12x^2 + 29x – 8.
Alternatively, use synthetic division; if the end result is zero, then you have identified a root of 12x^2 + 29x – 8, as well as a factor.
Let's focus on x - 8: Is this a factor? Is 8 a root? Set up synthetic division as follows:
8 ) 12 29 -8
96 1000
-----------------
12 125 992
The non-zero remainder (992) indicates that 8 is not a root of 12x^2 + 29x – 8, and that x - 8 is not a factor.
Continuing onto the next given possible factor, 2x - 1, we set this = to 0 and solve for x, obtaining x = 1/2. Use synthetic division again:
1/2 ) 12 29 -8
6 35/2
------------------------
12 35 19/2 No, 1/2 is not a root and
2x - 1 is not a factor of 12x^2 + 29x – 8.
Try possible root x = -8/3:
-8/3 ) 12 29 -8
-32 8
----------------------------
12 -3 0
This zero remainder tells us that 3x + 8 is a factor of 12x^2 + 29x – 8.
Answer:
C. on edge
Step-by-step explanation:
Evaluate the following expression In e^e.
A) e^2
B) 1
C) 0
D) e
Answer:
D) e
Step-by-step explanation:
ln e^e
We know that ln x^a is the same as a ln x
e ln (e)
we know that ln e =1
e (1)
e
Answer:
The correct answer is: [D]: " e " .
Step-by-step explanation:
__________________________________________________
ln e^e = e * (ln e) = e * (1) = e .
__________________________________________________
Una cadena de oro es de ley 0,850 y contiene 12 gramos de oro puro. ¿Cuánto pesa la cadena de oro?
The Three Stooges (Larry, Moe, and Curly) and the four Marx Brothers (Chico, Harpo, Groucho, and Zeppo) are randomly assigned a place in line. What is the probability the first three in line will be Moe, Larry, and Curly in that order?
Answer:
[tex]\frac{1}{210}[/tex]
Step-by-step explanation:
We can use the probability that one person will be assigned to one place.
For the first place in line, what is the probability that Moe will stand there?
[tex]\frac{1}{7}[/tex] because there is 7 people and 1 of Moe.
Then, for the second place in line, what is the probability that Larry will stand there?
[tex]\frac{1}{6}[/tex] because there are 6 people now and one of Larry.
Finally, for the third place in line, what is the probability that Curly will stand there?
[tex]\frac{1}{5}[/tex] because there are 5 people now and one of Curly.
To find the probability that they'll stand in that order, we can multiply the probabilities together.
[tex]\frac{1}{7}*\frac{1}{6}*\frac{1}{5}=\frac{1}{210}[/tex]
A car rental costs $50 for the first day. Additional days cost $35 per day, unless the car is rented for 7 days or more, in which case there is a 10% discount on the daily rate.
Identify the expression which represents the cost of renting a car if the car has been rented for more than a week.
A) 45 + 35x
B) 45 + 31.5x
Eliminate
C) 50 + 35x
D) 50 + 31.5x
Answer:
D) 50+31.5x
Step-by-step explanation:
10% of 35 is 3.5
35-3.5=31.5
What is the solution set for X-3>1?
Answer:
x > 4
Step-by-step explanation:
X-3>1
Add 3 to each side
X-3+3>1+3
x > 4
Hello :D
Answer:
[tex]\boxed{x>4}\checkmark[/tex]
Step-by-step explanation:
First, you add by 3 from both sides of an equation.
[tex]x-3+3>1+3[/tex]
Then, add the numbers from left to right.
[tex]1+3=4[/tex]
[tex]\boxed{x>4}[/tex], is the correct answer.
Hope this helps you!
Have a wonderful day! :D
-Charlie
can someone help me with this plz
Answer:
the box is cheaper
Step-by-step explanation:
2L bottle=$2,8(1L=$1,4)
[tex]6 \times 12 \: l \: bottle = 3.9(1l = \frac{0.65}{12} )[/tex]
the box is cheaper
The measures of two complementary angles are
12q−9
and
8q+14
Find the measures of the angles.
Answer:
4 1/4
Step-by-step explanation:
Complementary angles add up to 90 degrees.
Thus if 12q - 9 and 8q + 14 are complementary,
12q - 9 + 8q + 14 = 90.
Combining like terms, we get:
20q + 5 = 90
20q = 85
Thus, q = 85/20, or 17/4, or 4 1/4
Answer:
42 and 48
Step-by-step explanation:
∵ Two angles are complementary to each other if their sum is 90°,
Given,
12q - 9 and 8q + 14 are complementary angles,
By the above statement,
12q - 9 + 8q + 14 = 90
Combine like terms,
20q + 5 = 90
Subtract both sides by 5,
20q = 85
Divide both sides by 20,
q = 4.25,
Thus, the angles are,
12(4.25) - 9 and 8(4.25) + 14
⇒ 42 and 48
Question 7 of 47
1 Point
What is the equation of a line with a slope of 1/2 that passes through the point,
(-2,5)?
O A. 1/2x+3
O B. Y=1/2x+5
O C. y=x+5
O D. y=1/2x+6
Answer:
Option D [tex]y=\frac{1}{2}x+6[/tex]
Step-by-step explanation:
we know that
The equation of a line into slope point form is equal to
[tex]y-y1=m(x-x1)[/tex]
we have
[tex](x1,y1)=(-2,5)[/tex]
[tex]m=\frac{1}{2}[/tex]
substitute
[tex]y-5=\frac{1}{2}(x+2)[/tex]
Convert to slope intercept form
[tex]y=\frac{1}{2}x+1+5[/tex]
[tex]y=\frac{1}{2}x+6[/tex]
Nayara wants to know the percentage of each grade level of students at her school who drive to school. She has 4 grade levels in her school.Which of the following survey methods will allow Nayara to make a valid conclusion about what percentage of each grade level of students drive to school?
Choose 1 answer:
a. Randomly select 48 students who drive to school and ask them their grade level.
b. Randomly select 12 students from each grade level and ask whether they drive to school.
Answer:
The correct answer is B
Step-by-step explanation:
You want an even number per grade level to get comparable results.
Answer: um well it’s b... sorry for being 2 years late yk I was getting a drink of water
Step-by-step explanation:
In the circle graph, what is the measure of the central angle for corn?
Round your answer to the nearest whole number
multiply the percentage of the corn by 360 degrees
15% × 360° = 54°
Answer:
54°
Step-by-step explanation:
In the given pie chart which shows variation of vegetable.
Pie chart is a circular. Complete angle of circular is 360°.
100% of pie chart is equal to 360° of central angle.
Here, we need to find the central angle of corn.
In graph, corn is only 15%
100% of central angle = 360°
1% of central angle [tex]=\dfrac{360^\circ}{100}[/tex]
15% of central angle [tex]=\dfrac{360^\circ}{100}\times 15[/tex]
[tex]=54^\circ[/tex]
Hence, The central angle of corn is 54°
Which expression is equivalent to ?
Answer:
Your answer would be A
Step-by-step explanation:
First you gotta reduce that fraction. Then square root the 9 (which is 3) and as well as radicalize x^5, which is x^2/x
Answer:
FIRST OPTION.
Step-by-step explanation:
Given the expression [tex]\sqrt{\frac{2x^5}{18}}[/tex], you can find an equivalent expression simplifying.
The first step is to descompose 18 into its prime factors:
[tex]18=2*3*3=2*3^2[/tex]
Remember the Product of powers property, which states that:
[tex](a^m)(a^n)=a^{(m+n)}[/tex]
Then you can rewrite the expression in this form:
[tex]\sqrt{\frac{2x^4x}{2*3^2}[/tex]
Knowing that [tex]\sqrt[n]{a^n}=a[/tex], you get the following equivalent expression:
[tex]\sqrt{\frac{2x^4x}{2*3^2}[/tex]
[tex]\frac{x^2}{3}\sqrt{\frac{2x}{2}}[/tex]
[tex]\frac{x^2\sqrt{x}}{3}[/tex]