Answer:
65mStep-by-step explanation:
Since we are not asked what to find, we can as well calculate the displacement of Carrie.
Displacement will be gotten using Pythagoras theorem;
Given
direction through west x = -25m
direction through north y = 60m
Required
Displacement d
According to the theorem;
d² = x²+y²
d² = (-25)²+(60)²
d² = 625 + 3600
d² = 4225
d = √4225
d = 65 m
Hence the displacement of Carrie is 65m
What is 17%of 40? Pls help
Answer:
6.8
Step-by-step explanation:
Answer:
6.8
Step-by-step explanation:
40 / 100 = 0.4
0.4 · 17 = 6.8
what is the domain and range of the graph in interval notation?
Answer:
Domain: (-∞, ∞)
Range: (-∞, ∞)
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x). Range is the set of y-values that are outputted by function f(x).Step-by-step explanation:
According to the graph, we see that it stretches forever in both directions of the number line. This means that the graph encompasses every single number. Therefore, both our domain and range are all real numbers:
Domain: (-∞, ∞)
Range: (-∞, ∞)
How many positive terms are in an arithmetic progression: 17.2; 17; 16.8
Answer:
3
Step-by-step explanation:
a = first term = 17.2
tn = last term = 16.8
d= common difference = -0.2
n = number of terms = ?
To find the number of positive terms, we'll use the formula;
tn = a + (n - 1) d
Substituting the figures,
=> 16.8 = 17.2 + (n -1) -0.2
=> 16.8 - 17.2 = (n - 1) - 0.2
=> -0.4 = (n - 1) - 0.2
=> -0.4/-0.2 = n - 1
=> n - 1 = 2
=> n = 3
Therefore, the number of positive terms in the sequence is 3
pls help I will mark brainliest
Answer:
neither bc they put the same amount of strawberries
Step-by-step explanation:
it might be debbie tho bc like rick put more rhubarb so it might overpower of the strawberry so debbie might have more flavor so one sec
Answer:
The correct answer is Debbie's pie will taste more like starwberries
Step-by-step explanation:
find the slope
A- 1/4
B- 1/3
C- 1/5
D- 2/3
Answer:
1/3
Step-by-step explanation:
if you move up 1 over three, the line intersects the graph
Julie started to solve the exponential expression (–2)3. (–2)3 = –2 ⋅ –2 ⋅ –2 = ? Which of these explains why Julie gets a negative number for her final answer? Question 25 options: The exponent 3 is an odd number. The base –2 is an even number. The base –2 is a negative number. The exponent 3 is a positive number.
Answer:
The base –2 is a negative number
Step-by-step explanation:
We need to solve the exponential expression (–2)³.
(–2)³ = -2×-2×-2
= -8
The final answer is -8. It is negative. It is because the base i.e. -2 is an even number. If the base is negative and the power is odd, the answer will be a negative number. Here, base is -2, power is 3. Hence, the correct option is (c) "The base –2 is a negative number".
Answer:
The exponent 3 is an odd number.
Step-by-step explanation:
Since the exponent (3) is an odd number, the answer will be negative. Answer: –8
Sidenote: I got this answer correct on the test :)))
David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 % compounded continuously. Natalie invested $340 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 % compounded quarterly. After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?
Answer:
$53.83
Step-by-step explanation:
For David
David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 % compounded continuously.
r = 2 1/8% = 17/8% = 2.125% = 0.02125
t = 17 years
P = $340
For Compounded continuously, the formula =
A = Pe^rt
A = Amount Invested after time t
P = Principal
r = interest rate
t = time
A = $340 × e^0.02125 × 17
A = $ 487.94
For Natalie
Natalie invested $340 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 % compounded quarterly.
r = 2 3/4 % = 11/4% = 2.75% = 0.0275
t = 17 years
P = $340
n = compounded quarterly = 4 times
Hence,
Compound Interest formula =
A = P(1 + r/n)^nt
A = Amount Invested after time t
P = Principal
r = interest rate
n = compounding frequency
t = time
A = $340 (1 + 0.0275/4) ^17 × 4
A = $ 541.77
After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?
This is calculated as
$541.77 - $ 487.94
= $53.83
Hence, Natalie would have in her account, $53.83 than David
write a function expressing how pressure change depending on the under water
Answer:
When diving in the ocean, you must consider how much pressure you will experience from diving a certain depth.
From the atmosphere, we experience about 14.7 pounds per square inch (psi) and for every foot we dive down into the ocean, we experience another 0.44 psi in pressure.
How far (in feet) can you dive without experiencing more than 58.7 psi of pressure on your body?
:
let d = the depth which gives 58.7 psi
.44d + 14.7 = 58.7
.44d = 58.7 - 14.7
.44d = 44
d = 44/.44
d = 100 ft
Step-by-step explanation:
which of the following have infinitely many solutions
A) -6x+35=-6x+35
B) 6x+35 = -6x - 35
C) -6x + 35 = -6x -35
D) 6x + 35 = -6x + 35
↝ The answer is A.
↝ By graphing 2 exact lines/graphs give you infinitely graph-intercepts. Basically meaning that both graphs are the same, thus intercepting each others infinitely.
What is the first step in solving the equation m/5 - 2=8
Answer:
The first step is adding two to both sides to further isolate the variable.
Step-by-step explanation:
You want m/5=10 so you can multiply 5 on both sides and find what m equals which is 50 in this instance.
Answer:
Step-by-step explanation:
m/5 -2=8 I would first add 2 to both sides
m/5=10 Then multiply both sides by 5 to clear out the fraction.
m=50
Divide the square root of 81 by the difference between the product of-1 and -3 and the square root of 4
Answer: [tex]\frac{9}{1}[/tex]
Step-by-step explanation:
FIrst find the square root of 81.
[tex]\sqrt{81} = 9[/tex]
The square root of 81 is 9.
FInd the product of -1 and -3 by multiplying the -1 by -3.
-1 * -3 = 3
next find the square root of 4.
[tex]\sqrt{4} = 2[/tex]
Now it said divide the square root of 81 which is 9 by the difference between 3 and 2 and the difference between 3 and 2 two is 1.
Thos means that the answer will be 9/1.
9. Three eggs are required to make two dozen muffins. How many eggs are
needed to make 12 dozen muffins?
Answer:
18 eggs
Step-by-step explanation:
What is the acceleration of a 1,500-kilogram truck with a net force of 7,500 newtons?
plz give answer with units
Answer:
The answer is [tex]5\: m/s^2[/tex]
Step-by-step explanation:
hope this helps :)
MODELING WITH MATHEMATICS A farmer plants a garden that contains corn and pumpkins. The total area (in square
feet) of the garden is modeled by the expression 2x2 + 5x + 4. The area of the corn is modeled by the expression
x2 – 3x + 2. Write an equation in standard form that models the area A of the pumpkins.
Answer:
The equation in standard form that models area of pumpkins is:
[tex]A_p = A_G - A_c[/tex]
and the area is: [tex]x^2+8x+2[/tex]
Step-by-step explanation:
Given that the garden has corn and pumpkins
The expressions are:
Total area of garden: [tex]A_G = 2x^2+5x+4[/tex]
Area of Corn: [tex]A_c = x^2-3x+2[/tex]
Area of Pumpkins: [tex]A_p = ?[/tex]
The sum of areas of corn and pumpkins is the total area of the garden.
It can be expressed mathematically as:
[tex]A_G = A_c+A_p[/tex]
If we have to find the area of pumpkins,
[tex]A_p = A_G - A_c[/tex]
Putting the values
[tex]A_p = (2x^2+5x+4) - (x^2-3x+2)\\A_p = 2x^2+5x+4-x^2+3x-2\\A_p = 2x^2-x^2+5x+3x+4-2\\A_p = x^2+8x+2[/tex]
The equation in standard form that models area of pumpkins is:
[tex]A_p = A_G - A_c[/tex]
and the area is: [tex]x^2+8x+2[/tex]
The equation in standard form that models the area A of the pumpkins is x² + 8x + 2
From the question, we are given the following parameters
Area of the garden = 2x² + 5x + 4
Area of the corn = x² – 3x + 2
To get the area A of the pumpkin, we will take the difference in the areas as shown:
A = Area of garden - Area of corn
A = (2x² + 5x + 4) - (x² – 3x + 2)
A = 2x² - x² + 5x + 3x + 4 - 2
A = x² + 8x + 2
Hence the equation in standard form that models the area A of the pumpkins is x² + 8x + 2
Learn more here: https://brainly.com/question/16239445
Choose the correct statement!
Answer:
i think it is c but i am not for sure hope that helps
Which statement is true?
Answer: bro its the last one
Step-by-step explanation:
Answer:
its G.
Step-by-step explanation:
do you want the explanation? cuz i could i give one :)
Hellllllp awarding brainllest
Find the value of x and y
Answer: x=16, y=10
Step-by-step explanation:
To find the value of x and y, we need to know the angle properties. We know that 8x-14 and 5x+34 are equal to each other because of Alternate Exterior Angles. Now, we also know that 8x-14 and 5y+16 are supplementary angles, meaning they are equal to 180°. To solve, let's first find the value of x.
8x-14=5x+34 [subtract both sides by 5x]
3x-14=34 [add both sides by 14]
3x=48 [divide both sides by 3]
x=16
Now that we know x=16, we can find the value of y.
8x-14+5y+16=180 [plug in x=16]
8(16)-14+5y+16=180 [multiply]
128-14+5y+16=180 [combine like terms]
130+5y=180 [subtract both sides by 130]
5y=50 [divide both sides by 5]
y=10
Now, we know that x=16 and y=10.
Line FG is represented by the equation 8x+3y=10. Which value is the slope of a line perpendicular to line FG
A.-3/8
B.-1/8
C.3/8
D.8/3
Answer:
The correct answer is 3/8
Step-by-step explanation:
It was in my practice and I had gotten it correct.
Answer:
C. 3/8
Step-by-step explanation:
Since line FG is represented by an equation in standard form, Ax + By = C, the slope of the line is equal to -a/b.
So, the slope of line FG is -8/3
Perpendicular lines have opposite reciprocal slopes. So, a line perpendicular to line FG will have a slope equal to 3/8.
PLEASE HELP!! I don’t understand
I don't know what the blanks would be, but this is a function. All numbers in set A go to one number in set B.
HELP MEEEEEEEEE PLEWSEEEEEEEEEE
Answer:
option B)
Step-by-step explanation:
a1/a2= 6/1
b1/b2 = 2/3
since a1/a2 is not equal to b1/b2,
lines have a unique solution
hence answer is option B)
Write an equation of the line passing through the point (1, 9) that is parallel to the line y=3x−2.
The equation of the line is y=x+
.
Answer:
y= 3x+6
Step-by-step explanation:
what are the dimensions of the largest rectangular field that can be enclosed with 64m of wire?
Step-by-step explanation:
perimeter = 2*length + 2*width
area = length*width
perimeter = 64
Rectangular means all the corners have to be right angles.
If we say it can be a square, then...
perimeter = 4*side
64 / 4 = side
side = 16 meters
So the dimensions would be 16 m x 16 m
hello please answer this question if you have the time, thanks! :)
Together, Katya and Mimi have 480 pennies in their piggy banks. After Katya lost ½ of her pennies and Mimi lost 2/3 of her pennies, they both had an equal number of pennies left. How many pennies did they lose altogether?
Answer:
400
Step-by-step explanation:
Answer:
288 pennies
Step-by-step explanation:
PLEASE HELP, 10 POINTS IF YOU'RE RIGHT, IM TIMED
The diameter of a regulation soccer ball is about 8 and three-fifths inches. This number was graphed on a number line.
A number line going from negative 9 to positive 9. Point A is between negative 9 and negative 8, point B is between negative 7 and negative 6, point C is between 6 and 7, point D is between 8 and 9.
Which point could be the point representing the graph of the diameter of the ball?
A
B
C
D
Answer:
The answer is D....... between 8 and 9.
Answer:
D
Step-by-step explanation:
It is D because 8 3/5 is 8.6 in decimal form which is also right in between 9 and 8 which they are very close to 8.6. So there is not an exact number
Simplify the following expression: 2x − 2y + 5z − 2x − y + 3z
Answer:
-3y+8z
Step-by-step explanation:
Answer:2x - 2y + 8z
Step-by-step explanation:
PLEASEEEEEEEEEEEEEEEEE HELP
Answer:
Step-by-step explanation:
1. Simplifying
8x + 2y = 14
2. Solving
8x + 2y = 14
3. Solving for variable 'x'.
4. Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
8x + 2y + -2y = 14 + -2y
5. Combine like terms: 2y + -2y = 0
8x + 0 = 14 + -2y
8x = 14 + -2y
6. Divide each side by '8'.
x = 1.75 + -0.25y
7. Simplifying
x = 1.75 + -0.25y
square root of 5 times square root of 8
Answer:
6.32455532034
Rounded: 6.32
Hope this helps! :)
Can someone please tell me this i have to turn it in in 4 hours
There are 5 students in a class that take the bus, and there are 20 total students in the class. What percentage of students take the bus?
Answer:
25%
Step-by-step explanation:
5/20=1/4=25%