Answer:
$1676
Step-by-step explanation:
The town of Lantana need $14,000 for a new playground.
Lantana Elementary School raised $5,358.
Lantana Middle School raised $2,834.
Latana High School raised $4,132.
The total amount raised so far is:
$5358 + $2834 + $4132 = $12324
The amount left to raise is:
$14000 - $12324 = $1676
You need to raise $1676.
By adding the amounts raised by all three schools, which is $12,324, and subtracting from the goal of $14,000, we find that an additional $1,676 is needed to fund the new playground in Lantana.
To determine how much more money is needed to reach the $14,000 goal for a new playground in Lantana, we need to sum up the amounts raised by Lantana Elementary School, Lantana Middle School, and Lantana High School, and then subtract this total from the goal.
Lantana Elementary School raised: $5,358
Lantana Middle School raised: $2,834
Lantana High School raised: $4,132
Adding these amounts together we get:
$5,358 + $2,834 + $4,132 = $12,324
To find out how much more is needed:
$14,000 - $12,324 = $1,676
Therefore, the town of Lantana needs to raise an additional $1,676 to meet the goal for the new playground.
Z1=3cispi and z2=5cis(pi/2)
If z1*z2=a+bi, then a=, b=
Answer:
a = 0 and b = -15Step-by-step explanation:
Given two complex number Z1=3cispi and z2=5cis(pi/2)
In polar form;
z1 = [tex]3(cos[/tex][tex]\pi+isin\pi)[/tex]
z1 = 3(-1+i0)
z1 = -3+0i
Z2 = [tex]5(cos\frac{\pi}{2} +isin\frac{\pi}{2} )[/tex]
Z2 = 5(0+i)
Z2 = 0+5i
Z1*Z2 = (-3+0i)(0+5i)
Z1*Z2 = 0 - 15i +0i + 0i²
Z1*Z2 = 0-15i
comparing 0-15i with a + bi;
a = 0 and b = -15
Answer:
A = 0, B = -15
Step-by-step explanation:
Given two complex number Z1=3cispi and z2=5cis(pi/2)
In polar form;
z1 =
z1 = 3(-1+i0)
z1 = -3+0i
Z2 =
Z2 = 5(0+i)
Z2 = 0+5i
Z1*Z2 = (-3+0i)(0+5i)
Z1*Z2 = 0 - 15i +0i + 0i²
Z1*Z2 = 0-15i
comparing 0-15i with a + bi;
a = 0 and b = -15
2 circles with an area of 9 pi inches squared. The area of one base of the cylinder is 6 pi inches, and the height of the cylinder is 10 inches.
The net of a cylinder is shown. The area of one base of the cylinder is 9Pi in.2. The circumference of a base is 6Pi in., and the height of the cylinder is 10 in. Which expression can you use to find the lateral area plus two bases of the cylinder?
A)6Pi + 9Pi(10) in.2
B)9Pi + 6Pi(10) in.2
C)6Pi + 6Pi + 9Pi(10) in.2
D)9Pi + 9Pi + 6Pi(10) in.2
Answer:
the answer is d
Step-by-step explanation:
bc i took the question and it said it was d
Answer:
D is your answer
Step-by-step explanation:
The radius of a circle is 4 in . Find it’s circumference in terms of
Answer:
8pi
Step-by-step explanation:
The formula for circumference is the radius multiplied by [tex]2\pi[/tex]. In this case, [tex]4\cdot 2\pi=8\pi[/tex]. Hope this helps!
PLEASE HELPPPP
Find the surface area of the trapezoidal prism. *
To calculate the surface area of a trapezoidal prism, find the area of each of the five faces (two trapezoids and three rectangles) and sum them up.
Explanation:To find the surface area of a trapezoidal prism, we have to calculate the area of each face and then sum them up. There are two trapezoidal faces and three rectangular faces in a trapezoidal prism.
For the trapezoidal face, the formula to calculate the area is 0.5*(a+b)*h where 'a' and 'b' are the lengths of the parallel bases and 'h' is the height of the trapezoid. For the rectangular faces, the area is simply length times width.
After finding these, add them all up. This sum gives us the total surface area of the trapezoidal prism.
Learn more about Surface Area of Trapezoidal Prism here:https://brainly.com/question/32424586
#SPJ12
Read this quote carefully, and think about its main message. What is Lincoln expressing in this quote? Both sides were willing to destroy the nation by letting the war begin. The North started the war to stop slavery, and the South fought to keep slavery. The South would destroy the nation, but the North had to fight for the nation to survive. Both parties [disapproved of] war, but one of them would make war rather than let the nation survive, and the other would accept war rather than let it perish, and the war came. –Abraham Lincoln, Second Inaugural Address, March 4, 1865
Answer:The South would destroy the nation, but the North had to fight for the nation to survive.
Answer:
The answer is The south would destroy the nation so the north had to fight for the nation survival
Step-by-step explanation:
NEED HELP ASAP
What is the determinant of
A.–24
B.–3
C.3
D.45
Answer:
The answer is -3
Just solved it
Answer:
its c.3
Step-by-step explanation:
Select all names that apply.
π/6(that's supposed to be a fraction)
A real
B irrational
C whole
D integer
The value π/6 is a real number and not an integer, whole or irrational number. This is because it's expressed as a fraction, disqualifying it from being either an integer or whole number, and because it's found on the number line, making it a real number.
Explanation:The given value π/6 represents a fractional value in the context of mathematics. This number is not an integer nor a whole number, because those categories only include non-fractional numbers. The value is real, which is a category that includes all numbers that can be positioned on the number line, inclusive of both rational and irrational numbers. The given number, π/6, is not an irrational number, because irrational numbers are numbers which cannot be expressed as a fraction, and our given number, π/6, is obviously expressed as a fraction.
Learn more about Number Classification here:https://brainly.com/question/32665385
#SPJ2
Halla la tasa de variación de cada funcion en el intervalo [-4,3] e indica si es positiva , negativa o nula A) f(x)=x2-2x+4 B) f(x)= -3x + 2 En rl ejercico A es x elevado al 2 o cuadrado
Answer:
[tex]A) \hspace{3}Rate\hspace{3}of\hspace{3}change=-5\hspace{3}Negative\\\\B)\hspace{3}Rate\hspace{3}of\hspace{3}change=-21\hspace{3}Negative[/tex]
Step-by-step explanation:
Given a function [tex]f(x)[/tex], we called the rate of change to the number that represents the increase or decrease that the function experiences when increasing the independent variable from one value "[tex]x_1[/tex]" to another "[tex]x_2[/tex]".
The rate of change of [tex]f(x)[/tex] between [tex]x_1[/tex] and [tex]x_2[/tex] can be calculated as follows:
[tex]Rate\hspace{3}of\hspace{3}change=f(x_2)-f(x_1)[/tex]
For:
[tex]f(x)=x^2-2x+4[/tex]
Let's find [tex]f(x_1)[/tex] and [tex]f(x_2)[/tex], where:
[tex][x_1,x_2]=[-4,3][/tex]
[tex]f(x_1)=f(-4)=(-4)^2-2(4)+4=16-8+4=12\\f(x_2)=f(3)=(3)^2-2(3)+4=9-6+4=7[/tex]
So:
[tex]Rate\hspace{3}of\hspace{3}change =7-12=-5\hspace{3}Negative[/tex]
And for:
[tex]f(x)-3x+2[/tex]
Let's find [tex]f(x_1)[/tex] and [tex]f(x_2)[/tex], where:
[tex][x_1,x_2]=[-4,3][/tex]
[tex]f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7[/tex]
So:
[tex]Rate\hspace{3}of\hspace{3}change =-7-14=-21\hspace{3}Negative[/tex]
Translation:
Dada una función [tex]f(x)[/tex], llamábamos tasa de variación al número que representa el aumento o disminución que experimenta la función al aumentar la variable independiente de un valor "[tex]x_1[/tex]" a otro "[tex]x_2[/tex]".
La tasa de variación de [tex]f(x)[/tex] entre [tex]x_1[/tex] y [tex]x_2[/tex], puede ser calculada de la siguiente forma:
[tex]Tasa\hspace{3}de\hspace{3}variacion=f(x_2)-f(x_1)[/tex]
Para:
[tex]f(x)=x^2-2x+4[/tex]
Encontremos [tex]f(x_1)[/tex] y [tex]f(x_2)[/tex], donde:
[tex][x_1,x_2]=[-4,3][/tex]
[tex]f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7[/tex]
Entonces:
[tex]Tasa\hspace{3}de\hspace{3}variacion =7-12=-5\hspace{3}Negativa[/tex]
Y para:
[tex]f(x)-3x+2[/tex]
Encontremos [tex]f(x_1)[/tex] y [tex]f(x_2)[/tex], donde:
[tex][x_1,x_2]=[-4,3][/tex]
[tex]f(x_1)=f(-4)=-3(-4)+2=12+2=14\\f(x_2)=f(3)=-3(3)+2=-9+2=-7[/tex]
Entonces:
[tex]Tasa\hspace{3}de\hspace{3}variacion=-7-14=-21\hspace{3}Negativa[/tex]
Here is the equation of a circle in standard form.
(x − 4)2 + (y + 8)2 = 64
What are the coordinates of the center of the circle?
A. (8, -4)
B. (4 , -8)
C. (-8, 4)
Answer:
B. (4, -8)
Step-by-step explanation:
Answer:
(4,-8)
Step-by-step explanation:
Equation of a circle:
(x - h)² + (y - k)² = r²
Given:
(x - 4)² + (y + 8)² = 64
-h = -4
h = 4
-k = +8
k = -8
(h,k) = (4,-8)
Which polynomials are in standard form?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
t^4-1t
4
−1t, start superscript, 4, end superscript, minus, 1
(Choice B)
B
-2t^2+3t+4−2t
2
+3t+4minus, 2, t, squared, plus, 3, t, plus, 4
(Choice C)
C
4t-74t−74, t, minus, 7
(Choice D)
D
None of the above
Answer:
[tex]A) t^4-1\\B)-2t^2+3t+4\\C)4t-7[/tex]
Step-by-step explanation:
When a polynomial is in standard form, it means that the terms are ordered from highest exponent to lowest exponent.
In the given options, A,B and C are ordered from the highest to the lowest and thus are in standard form.
The correct options are A,B and C.
The polynomials in standard form are:
- A [tex]\( t^4 - 1 \)[/tex]
- B [tex]\( -2t^2 + 3t + 4 \)[/tex]
- C [tex]\( 4t - 7 \)[/tex]
A polynomial is in standard form if its terms are written in descending order of their exponents. Let's evaluate each option:
- Option A: [tex]\( t^4 - 1 \)[/tex]
- This polynomial is written in descending order of its exponents: [tex]\( t^4 \)[/tex](degree 4) and [tex]\(-1\)[/tex] (degree 0).
- Option B: [tex]\(-2t^2 + 3t + 4\)[/tex]
- This polynomial is written in descending order of its exponents: [tex]\(-2t^2\)[/tex] (degree 2), [tex]\(3t\)[/tex] (degree 1), and [tex]\(4\)[/tex] (degree 0).
- Option C: [tex]\(4t - 7\)[/tex]
- This polynomial is written in descending order of its exponents: [tex]\(4t\)[/tex] (degree 1) and [tex]\(-7\)[/tex] (degree 0).
-Option D: None of the above
- Since options A, B, and C are already in standard form, option D is incorrect.
Complete question : Which polynomials are in standard form? Choose all answers that apply:
A t⁴ -1
B -2t² +3t+4
c 4t-7
D None of the above
The population of Casperville is 1450. A sample of 100 people in the town was asked if they owned a landline, and 6 responded yes. What is the best estimate of the percent of the people in Casperville who will have landlines?
Answer:
Step-by-step explanation:
Hello!
The variable of interest is:
X: Number of people in Casperville that own a landline out of 100 people.
There is a fixed number of surveys made (trials) n=100, for each trial there are two possible answers, "success": the person owns a landline, and "failure": the person doesn't own a landline. Assuming each person is independent of the others and that the probability of success is the same for all trials, we can say that this variable has a binomial distribution: X~Bi(n;p)
To estimate the proportion/ percentage of people in Casperville that owns a landline you have to calculate the sample proportion:
^p=[tex]\frac{number of "successes"}{n} = \frac{6}{100} = 0.06[/tex]
6% of the people surveyed owns a landline.
I hope this helps!
the angle of depression from an airplane at an altitude of 8000 feet to the airport is 7 degrees. Find the direct distance from the airplane to the airport and find the horizontal distance between the airplane and the airport.
Answer:
direct distance = 65,644.07 feet
horizontal distance = 65,154.77 feet
Step-by-step explanation:
The angle of depression is the angle that the airplane does with the horizontal plane.
So, if this angle is 7° and the airplane is at an altitude if 8000 feet, we can find the direct distance and the horizontal distance using the tangent and the sine relations of the angle.
In the tangent of the angle, the opposite side will be the height of the airplane, and the adjacent side will be the horizontal distance (hd), so:
tangent(7) = 8000 / hd
hd = 8000 / tangent(7) = 65,154.77 feet
In the sine of the angle, the opposite side will be the height of the airplane, and the hypotenusa will be the direct distance (d), so:
sine(7) = 8000 / d
d = 8000 / sine(7) = 65,644.07 feet
Find the quotient.
23 : 52
Answer:
8/25
Step-by-step explanation:
mutiply the number of how many times the exponet says
Answer: 8/25 (Option A)
I just did the assignment.
Juan mowed 8 lawns in 16 hours. what was his rate of mowing in hours per lawn? simplest form
Answer:
2 hours each lawn
Step-by-step explanation:
simply divide 16 by 8 and that will give you 2 meaning 2 hours each 1 lawn
The data plots represent the hours students study each week in two different classrooms. The mean number of hours a student in Mr. Hart’s class studies is hours. The mean number of hours a student in Ms. Perry’s class studies is hours. A typical student in Mr. Hart’s class studies a typical student in Ms. Perry’s class.
Answer:
Sorry, If this late but here's the answer. The data plots represent the hours students study each week in two different classrooms. The mean number of hours a student in Mr. Hart’s class studies is 4.6 hours. The mean number of hours a student in Ms. Perry’s class studies is 2.8 hours. A typical student in Mr. Hart’s class studies More than a typical student in Ms. Perry’s class. Good Luck!
[tex]_{Itsbrazts}[/tex]
Here's the photo...
Answer:
The mean number of hours a student in Mr. Hart’s class studies is 4.6 hours.
The mean number of hours a student in Ms. Perry’s class studies is 2.8 hours.
A typical student in Mr. Hart’s class studies more than a typical student in Ms. Perry’s class.
Step-by-step explanation:
Hope this helps you! 'v'
1.
x² + 8x + 15
(x + )
(x + )
Answer:
(x+5) (x+3)
Step-by-step explanation:
x² + 8x + 15
What two numbers multiply to 15 and add to 8
5*3 = 15
5+3 =8
(x+5) (x+3)
What is the measure of angle 1
Angle 2 = 92° (They are corresponding angles)
Angle 1 + angle 2 = 180° (they are a linear pair)
Angle 1 = 180° - 92°
= 88°
Ms. Bell's mathematics class consists of 12 sophomores, 8 juniors, and 13 seniors.
How
many
different ways can Ms. Bell create a 4-member committee of seniors if
each senior has an equal chance of being selected?
To create a 4-member committee of seniors, Ms. Bell can do so in 715 different ways.
Explanation:To find the number of different ways Ms. Bell can create a 4-member committee of seniors, we use the combination formula. The formula for combinations is C(n, r) = n! / (r!(n-r)!) where n is the total number of items and r is the number of items chosen. In this case, n = 13 (number of seniors) and r = 4 (number of members in the committee). Plugging in these values, we calculate C(13, 4) = 13! / (4!(13-4)!) = (13*12*11*10) / (4*3*2*1) = 13 * 11 * 5 = 715.
Learn more about combinations here:https://brainly.com/question/37999460
#SPJ3
What is StartFraction pi Over 3 EndFraction radians converted to degrees? If necessary, round your answer to the nearest degree.
30°
45°
60°
90°
Answer: 60°
Step-by-step explanation:
π/3
Since π is denoted as 180°, the question can be rewritten as:
π/3 .
To convert π/3 radians to the nearest degree will be:
π/3 = 180/3
= 60°
This shows that the value of π/3 rads is equal to 60°
Data;
[tex]\frac{\pi }{3}[/tex]radsConversion of radians to degreeThe formula of conversion from radians to degrees is given as
[tex]\pi rads = 180^0[/tex]
Let's convert our given radians to degrees.
[tex]\pi rads = 180^0\\\frac{\pi}{3} = ?\\[/tex]
This becomes
[tex]\frac{\pi }{3} * 180 = \pi \\\\\frac{\pi }{3} rads = \frac{180}{3} \\\frac{\pi }{3} rads = 60^0[/tex]
What we did was equate π rads to 180°, cross multiply the sides with π/3 and solve.
This shows that π/3 rads is equal to 60°
Learn more on conversion of radians to degrees here
https://brainly.com/question/3004847
There were 5 pizzas at the pizza party for two families. •Cynthia's family ate 1⅜ pizzas •Janet's family ate 1 2/6 pizzas What is the closest estimate of how much pizza was left? A.) 7 pizzas B.) 2 pizzas C.) 3 pizzas D.) 4 pizzas
Answer:
B
Step-by-step explanation:
1 3/8 + 1 2/6 is equal to 2 17/24ths round up and you get 3 pizzas. 5- 3 is 2.
Which rectangular prism will have the largest volume?
l = 4 cm, w = 5 cm, h = 3 cm
h = 3 cm, l = 6 cm, w = 3 cm
w = 6 cm, h = 6 cm, l = 2 cm
w = 3 cm, l = 5 cm, h = 5 cm
I NEEEEED HALPPPPPPPP
Final answer:
The largest volume among the rectangular prisms is 75 cm³, corresponding to the prism with dimensions l = 5 cm, w = 3 cm, and h = 5 cm.
Explanation:
To determine which rectangular prism has the largest volume, we must calculate the volume of each given prism. The volume (V) of a rectangular prism is calculated by multiplying its length (l), width (w), and height (h): V = l × w × h.
For the first prism, V = 4 cm × 5 cm × 3 cm = 60 cm³
For the second prism, V = 6 cm × 3 cm × 3 cm = 54 cm³
For the third prism, V = 2 cm × 6 cm × 6 cm = 72 cm³
For the fourth prism, V = 5 cm × 3 cm × 5 cm = 75 cm³
By comparing the volumes calculated, the prism with dimensions w = 3 cm, l = 5 cm, and h = 5 cm has the largest volume, which is 75 cm³.
HEY YOU HELP ME PLZ!!!
Answer:
104 liters
Step-by-step explanation:
you just round up
What is the slope intercept form of this table?
A. y= 4600 - 600
B. y = 2200x + 600
C. y = 600x + 2200
D. y = 600x
Answer:
C. y = 600x + 2200
Step-by-step explanation:
2800-2200 = 600 = slope
2200 (y value) has the x value 0, so 2200 is the y-inercept
hope this helps :)
PLEASE HELP ME!!! I have no idea what to do-
Barry has a spinner that has 2 equal sections of red and green and 2 marbles, one white and one black. Which of the following represents the sample space for spinning the spinner and picking a black or white marble?
A
B
C
D
Your answer would be the last option, D.
This is because spinning the spinner does not affect which marble you pick, as these are mutually exclusive events. This means that if the spinner lands on red, you could choose a black or white marble, and if the spinner lands on green you could also choose a black or white marble.
The only sample space that represents this is D because it's the only one that includes both black and white options after spinning red and green.
I hope this helps!
Answer:
D
Step-by-step explanation:
I went shopping for a pencil case with the entire script of shrek with an onion zipper, which costed 2.50$ each pencil case. I had 100 bucks (yeeah boii) How many of these beautiful cases can I buy?
Answer:
40 pencil cases
Step-by-step explanation:
To find out how many $2.50 pencil cases you can buy with $100, you need to divide. Dividing the amount of money you have by the cost of the item will get you the amount of items you can buy. 100 divided by 2.50 is 40. So, you can get 40 cases.
1. Select an angle OTHER THAN the right angle in the diagram and WRITE that angle.
2. State whether you will apply the trig function sin, cos, OR tan.
3. List the RATIO (fraction) that is equivalent to the trig function (you chose in #2) applied to that angle you chose in #1
Answer:
see below
Step-by-step explanation:
<X
Sin X = opp side/ hypotenuse
= 28/35
=4/5
Answer:
1) using angle Z
2) sin(Z) = opposite/hypotenuse
sin(Z) = 21/35 = 3/5
3) cos(X) = adjacent/hypotenuse
cos(X) = 21/35 = 3/5
What’s 10 x 10 (5+7) x 2
Say 1 if you are a bot so i know if you are real or nktt
Answer:
2400
Step-by-step explanation:
10 x 10 (5+7) x 2
(5+7) = 12
10 x 10 (12) x 2
10x 10 (12) = 1200
1200 x 2 = 2400
Credit cards place a three-digit security code on the back of cards. What is the probability that a code starts with the number 7?
Answer: 1/10
Step-by-step explanation: because there are 10 numbers (1,2,3,4,5,6,7,8,9, and 0)
which equation can be used to find 42*51
Answer:
(40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2
Step-by-step explanation:
I did some research and used a calculator.
Plz click the Thanks button!
<Jayla>
Answer:
multiplication
Step-by-step explanation:
The * sign is multiplication. When you have no multiplication sign on your keyboard, you use *. Hope this helps! If you are still confused please comment.
Which solution to the equation StartFraction 3 Over 2 g + 8 EndFraction = StartFraction g + 2 Over g squared minus 16 EndFraction is extraneous?
The solution of the given equation will be 16.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
[tex]\rm \dfrac{3}{2g + 8} = \dfrac{g + 2}{g^2 - 16}[/tex]
Then the equation can be written as
[tex]\rm \dfrac{3}{2(g + 4)} = \dfrac{g + 2}{g^2 - 4^}\\\\\rm \dfrac{3}{2(g+4)} = \dfrac{g + 2}{(g+4)(g-4)}\\\\[/tex]
On further solving, we have
3/2 = (g + 2) / (g – 4)
3g – 12 = 2g + 4
g = 16
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
Answer:
A. g = -4
Step-by-step explanation:
correct on egg