Answer:
D
Step-by-step explanation:
Arithmetic Summation
Find the sum of the first n terms of the arithmetic series.
40 + 37 + 34 +31 +...
n=20
Answer:
142
Step-by-step explanation:
hope this help love y all!
I
4. Two rectangular corrals are to be made from 100 yds. of fencing. If a rancher wants the
total area to be maximized, what should the dimensions of the coral be?
The dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.
Measurement is a branch of mathematics used in determining the area and volume of an object.
From the question,
Let the length of the two rectangular corrals be x
Let the length of the three fence section be y
Note that the area of the rectangle A = length * width
A = xy .....1
Also, since the rectangular corrals are to be made from 100 yd, then;
3x + 2y = 100 ..... 2
Divide through by 2
3x/2 + 2y/2 = 100/2
1.5x + y = 50
y = 50 - 1.5x .... 3
Substitute equation 3 into 1 to have:
A = x(50-1.5x)
A = 50x - 1.5x²
Since the total area is to b maximized, this means that:
dA/dx = 0
dA/dx = 50 - 3.0x
0 = 50 - 3x
3x = 50
x = 50/3 yards
Substitute the value of x into equation 3:
y = 50 - 1.5x
y = 50 - 1.5(50/3)
y = 50 - 25
y = 25yards
Hence the dimensions of the coral if the area is maximized will be 50/3 yards by 25yards.
Learn more here: https://brainly.com/question/10369514
Can someone help me with this please ?
Answer:
radius is 2.5 cm
hope it helps.
Answer:
radius = 2 1/2 cm or 2.5 cm
Step-by-step explanation:
diameter = 5 cm
radius = 5/2 = 2 1/2 cm
The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will the car be worth each of the following amounts?
(a) $8000
(b) $6000
(c) $1000
- The car will be worth $8000 after years.
(Type an integer or a decimal rounded to the nearest tenth as needed.)
Answer:
a) The car will be worth $8000 after 2.9 years.
b) The car will be worth $6000 after 4.2 years.
c) The car will be worth $1000 after 12.7 years.
Step-by-step explanation:
The value of the car after t years is given by:
[tex]V(t) = 14651(0.81)^{t}[/tex]
According to the model, when will the car be worth V(t)?
We have to find t for the given value of V(t). So
[tex]V(t) = 14651(0.81)^{t}[/tex]
[tex](0.81)^t = \frac{V(t)}{14651}[/tex]
[tex]\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}[/tex]
[tex]t\log{(0.81)} = \log{(\frac{V(t)}{14651})}[/tex]
[tex]t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}[/tex]
(a) $8000
V(t) = 8000
[tex]t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9[/tex]
The car will be worth $8000 after 2.9 years.
(b) $6000
V(t) = 6000
[tex]t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2[/tex]
The car will be worth $6000 after 4.2 years.
(c) $1000
V(t) = 1000
[tex]t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7[/tex]
The car will be worth $1000 after 12.7 years.
The usual price of a clock was $60. At a sale, it was
sold at a discount of 20%.
a) How much was the discount?
b) Find the selling price of the clock.
Answer:
$12 off w discount
$48 selling price
Step-by-step explanation:
Answer:
a. 20%=$12.00 b. price was $48.00
Step-by-step explanation:
60*20%=12
60-12=48
F/2 + 9 =4
-9 -9
F/2=
Answer:
your wrong lol im sry btw this is a alt XDDD
Step-by-step explanation:
A tool set is on sale fro $424.15. The original price of the set was $499.00. What percent of the original price is the sales price. (find percent)
Answer:
499-424.15=74.85
499:100=4.99
74.85:4.99=15 is the percent of the discount
100-15=85 is the percent of the original price that you pay
Step-by-step explanation:
Will give brainliest answer
Answer:
p(4)=7
p(-9)=-9
this solution is correct
Fond the value of x.
Answer:
75
Step-by-step explanation:
The sum of internal angles in a triangle is equal to 180
58 + 47 + x = 180
105 + x = 180 subtract 105 from both sides
x = 75
This is an acute triangle so each angle has to be less than 90 degrees in total we already have 105 and then lastly you can find out the last angle is kind of the same angle of angle 58 so its closer to 58 than 47 this is just a clue to the answer because I cant measure the angle from over the screen.
Sam, a marketing manager for XYZ big box stores, is trying to determine if there is a relationship between shelf space (in feet) and sales (in hundreds of dollars). To do this, Sam selected the top 12 producing locations. The regression results produced the following adjusted R2 values: Model 1: 0.8874 and Model 2: 0.6028. Which model is more suitable of a prediction?
Answer:
Model 1
Step-by-step explanation:
The model with higher adjustable R2 values is more suitable for the prediction showing the relationship between shelf space and sales. This is simply because the Higher the value, the more accurate its result will be as regards the prediction
The sum of two numbers is 24. Three times the smaller numbers is 3 less than twice the larger number. Find the numbers.
Answer:
9, 15
Step-by-step explanation:
x = smaller number
y = larger number
system of equations:
x + y = 24
3x = 2y - 3
substitution method:
x = 24 - y
3(24 - y) = 2y - 3
72 - 3y = 2y - 3
72 = 5y - 3
75 = 5y
y = 15
x + 15 = 24
x = 9
In a sequence of numbers, a4=9, a5=13, a6=17, a7=21, and a8=25.
Which equation can be used to find the nth term of the sequence, an?
A = an=4n+9
B = an=7n−4
C = an=4n−7
D = an=9n+4
Answer:
The answer is C i.e an=4n-7
NEED HELP FAST‼️‼️
What are the vertices of Triangle A'B'C' after Triangle ABC is reflected across the y-axis?
A (-5,3), B(-1,-3) and C(2,0)
Answer:
Step-by-step explanation:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
=======================================================
Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
Need help like right now please
Answer:
X= 12√3
y=12
Step-by-step explanation:
To find x
Cos30°=x/24
√3/2=x/24
x=12√3
To find y
Sin30°=y/24
1/2=y/24
y=12
hope it helps
have a great day!!
Dawn is verifying the accuracy of her paycheck. She
earns $14 an hour and works 40 hours each week.
Her biweekly deductions are Social Security 6.2%,
Medicare 1.45%, federal withholding tax $73.25,
state withholding tax $22.50, and health insurance
$37.45. What is her annual net pay if she is paid
biweekly
Answer:
$753.34
Step-by-step explanation:
I have 6 congruent faces.
Answer: The best choice from the provided options is the "Cube".
Step-by-step explanation: The cube is also called "rectangular hexahedron," because it has 6 congruent (meaning figures that are identical in form) faces.
Which of these equations are in slope-intercept form?
y-y1=m(x-x1)
y=mx+b
m=y2-y1/x2-x1
ax+by=c
Answer:
y = mx + b
Step-by-step explanation:
Find the equation of the line that is perpendicular to y = 2x + 4 and passes though the point (2,-2).
A)
B)
y=-x-1
y - 2x + 1
D)
y = -2x + 1
Perpendicular lines have slopes that are negative reciprocals of each other, so since the slope of the given line is 2, the slope of the line we want to find is -1/2.
Substituting into point-slope form,
[tex]y+2=-\frac{1}{2}(x-2)\\\\y+2=-\frac{1}{2}x+1\\\\\boxed{y=-\frac{1}{2}x-1}[/tex]
Math..
from the four letters L,O,V,E, choose one letter if order is not important
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
7D
120%
B
C
Angles are not drawn to scale.
Enter
Answer:
the answer woiuld be 60
Step-by-step explanation:
supplementary angles are 180
180-120=60
x=60
Find the conjugate and product of
i2 + 9
Answer:
i2 - 9
-85
Step-by-step explanation:
Conjugate of an expression is gotten by simply changing the sign to the opposite sign. For example, the conjugate of 5 is -5, the conjugate of x+2 is x-2. Given the complex value 2i+9, the conjugate will be -85
Taking their product
(2i+9)(2i-9)
Expand
2i(2i)-9(2i)+9(2i)+9(-9)
= 4i²-18-+18i-81
= 4i² - 81
Since i² = -1
= 4(-1) - 81
= -4-81
= -85
Hence the product will give -85
Harry's mother is 64 inches tall, and his father is 6 feet tall. How many inches taller is Harry's father than his mother?
Help please
Answer:
Harry's father is 8 inches taller than his mother.
Step-by-step explanation:
1 foot=12 inches
12x6=72
72-64=8
Can I please have Brainliest?
what is 0.065 rounded to the nearest tenths?
please help :)
Answer:
Step-by-step explanation:
0.1 ;-;
A student paid 256.37 Ghana cedis in school fees. how much has he paid to the nearest hundred?
Answer:
256.4
Step-by-step explanation:
Quarterback Joe Tarkenton can throw a football downfield at a speed of 60 feet per second. When releasing the ball, his arm is 6 feet above ground. The height of the ball after seconds is given by the function: h(t)=−16^2+60+6.
What is the maximum height of the football?
If the ball is not caught, how many seconds will it take to reach the ground after being thrown?
A: maximum height=3.58 feet; time=62.25 seconds
B: maximum height=62.52 feet; time=3.58 seconds
C: maximum height=62.25 feet; time=3.85 seconds
D: maximum height=3.85 feet; time=62.52 seconds
Answer:
C: maximum height=62.25 feet; time=3.85 seconds
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
In this question:
The height of the ball, after t seconds, is given by the following equation:
[tex]h(t) = -16t^2 + 60t + 6[/tex]
Which is a quadratic equation with [tex]a = -16, b = 60, c = 6[/tex]
Maximum height:
Since a < 0, we can find the maximum value of the function. We have that:
[tex]\Delta = 60^{2} - 4(-16)(6) = 3984[/tex]
[tex]y_{v} = -\frac{3984}{4(-16)} = 62.25[/tex]
The maximum height is of 62.25 feet.
Seconds to reach the ground:
[tex]x_{1} = \frac{-60 + \sqrt{3984}}{2*(-16)} = -0.1[/tex]
[tex]x_{2} = \frac{-60 - \sqrt{3984}}{2*(-16)} = 3.85[/tex]
Since time is a positive measure, 3.85 seconds.
The correct answer is given by option C.
1 point
3. The dot plot shows the number of hours the students in Mrs. Ferro's
class volunteer each month. Which of the following statements is not
correct?
MRS. FERRO'S CLASS
+
11
+
12
4 5 6 7
10
8 9
HOURS
A. There are a total of 17 students in Mrs. Ferro's class.
B. Exactly 7 students volunteered for less than 7 hours.
C. Less than half of the students volunteer for 9 hours or more.
D. The range is data was 5 hours.
Answer:
B
Step-by-step explanation:
its not A cause theres 17 kids
its not D
its not c cause less than half of the students volunteer for 9 hours or more
the only one it can be is B because it's not correct theres exactly 6 students less than 7 hours not 6
9+7 porfis es para aorita ayudemme
Answer:
16
Step-by-step explanation:
Find the product. Write your answer in decimal form. Three-tenths × 1.71 =
Answer:
0.3x1.71=0.513
Answer:
0.513 is the 100% correct answer for this question. Hope this helps! :)
Step-by-step explanation:
I need help please. aaaaaannnnnnnnndddddddddd thannkyou
Answer:
7:58
Step-by-step explanation:
The little hour hand is a bit past the 7. The long minute hand is closest to 12, which is 60 minuets. Just look the the mark that the little hand points at.
Automobile repair costs continue to rise with and average cost now at $367 per repair. Assume that the cost for an automobile repair has a standard deviation of $88.
