Answer:
0.67
Step-by-step explanation:
We have to find out the exchange rate for pounds to dollars
150 pounds divided by 225 dollars
We get 0.6(6) the 6 in parenthesis for the repeating number.
Since we round to the nearest hundred we get 0.67.
Find all real zeros of the function.
g(x) = 2x (x - 5)2(x – 9)?
If there is more than one answer, separate them with commas.
zero(s):
Answer:
0, 5, 9
Step-by-step explanation:
g(x) = 2x (x - 5)^2(x – 9) = 0
x = 0 or x - 5 = 0 or x - 9 = 0
x = 0 or x = 5 or x = 9
Please someone help me
Answer:
r = 0.046212737
Step-by-step explanation:
A = 14,400 (what your investment originally is)
P = 7,200 (what you want your investment to be)
n = 365 (interest is compounded daily)
t = 15 (15 years)
Plug all of these numbers into the equation, then solve for r
14,400 = 7,200(1 + r/365)^365 · 15
Divide 7,200 on both sides --> 2 = (1 + r/365)^365 · 15
365 · 15 = 5475 --> 2 = (1 + r/365)^5475
5475√(2) = 1 + r/365 (root 5475 both sides to cancel out the exponent)
(5475√(2)) - 1 = r/365 (subtract one from both sides)
((5475√(2)) - 1) · 365 = r (multiply both sides by 365 to isolate r)
Type the left side into the calculator to get r --> 0.046212737.
Hope this helps!
For what values of x is the value of the function f(x)=x² +3x+2 equal to zero?
Answer:
x=-2 x=-1
Step-by-step explanation:
f(x)=x² +3x+2
Set the function equal to zero
0=x² +3x+2
Factor
What 2 numbers multiply to 2 and add to 3
2*1 = 2
2+1 = 3
0 = ( x+2) (x+1)
Using the zero product property
x+2 =0 x+1 =0
x=-2 x=-1
Find the equation of the parabola with focus (2, 3) and directrix y = -1.
es
Answer:
Below in bold.
Step-by-step explanation:
Let (x, y) be a point on the parabola. As the graph is a parabola, the distance of this point to the focus is equal to the distance of this point from the directrix. So:
√(( x - 2)^2 + (y - 3)^2) = y - (-1)
Squaring both sides:
(x - 2)^2 + (y - 3)^2 = (y + 1)^2
x^2 - 4x + 4 + y^2 - 6y + 9 = y^2 + 2y + 1
x^2 - 4x + 4 + 9 - 1 = 2y + 6y
8y = x^2 - 4x + 12
y = 1/8(x^2 - 4x + 12)
or we can write it as
y = 1/8x^2 - 1/2 x + 3/2.
The following dot plot shows the number of books each student checked out from the library last month. Each dot represents a different student. Which of the following is a typical number of books one student checked out?
Answer:
The answer isn't 1 because most of the students checked out more than 1 bookThe answer isn't 4 because most of the students checked out more than 4 booksThe answer isn't 12 because most of the students checked out fewer than 12 booksThe answer is 7 because most of the students checked out more books than 1, 4, and 12In 7, seven kids checked out 7. [tex]7*7=49[/tex] (Correct answer because 49 is the biggest number here)
In 1, only two kids checked out 1. [tex]1 *2=2[/tex] (Wrong answer because 2 is lower than 49)
In 4, only eight kids checked out 4. [tex]4*8=32[/tex] (Wrong answer because 32 is lower than 49)
In 12, only two kids checked out 12. [tex]12*2=24[/tex] (Wrong answer because 24 is lower than 49)
So 7 is the correct answer because [tex]7*7=49[/tex] is the greatest equation here.
The 0 and 11 number book is the typical book one student checked out.
Given, the dot plot shows the no. of book each student checked out from the library last month.
Since each dot represent a different student, so clearly from the dot plot the 8 number book is checked out by the most of the students because it has most of the dots.
Since the number 0 and 11 has only one dot it represent that only 1 student checked out these books last month.
Hence the 0 and 11 number book is the typical book one student checked out.
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Missing Portion on Spinner:
So theres a circle,
2/3 is covered,
1/6 is covered,
and 1/9 is covered
what fraction is the portion that isn't covered
============================================
Explanation:
The fractions 2/3, 1/6 and 1/9 have the denominators 3, 6 and 9. The LCM is 18, so the LCD of the fractions is 18.
2/3 = 12/18 after multiplying top and bottom by 6
1/6 = 3/18 after multiplying top and bottom by 3
1/9 = 2/18 after multiplying top and bottom by 2
--------
The three original fractions 2/3, 1/6, and 1/9 are equivalent to 12/18, 3/18, and 2/18 in that exact order.
With the fractions all having the same denominator, we can add the numerators to place over the common denominator
12/18 + 3/18 + 2/18 = (12+3+2)/18 = 17/18
--------
After combining all of the shaded areas, we have 17/18 of the circle shaded in with 1/18 of the circle not shaded in.
You subtract 17/18 from 1 to get 1/18
1 - (17/18) = 18/18 - 17/18 = (18-17)/18 = 1/18
You could think of it like having 18 slices of cake total, and 17 are eaten by guests, so 18-17 = 1 is left over out of the 18 overall. So 1/18 of the cake hasn't been eaten.
The required fraction is 1/18, that is not covered.
What is a fraction?A fraction is a numeral that represents a rational number.
Let a and b be two numbers, then their fraction can be represented as a/b.
In the given spinner,
2/3 part is covered,
1/6 part is covered,
and 1/9 part is covered.
To determine the fraction of the portion that is not covered,
Let the not covered portion is x.
Since, Total value of circle = 1
2/3 + 1/6 + 1/9 + x = 1
(4 + 1)/6 + 1/9 + x = 1
5 / 6 + 1/9 + x = 1
(15 + 2) / 18 + x = 1
17/18 + x = 1
x = 1 - 17 / 18
x = 1 / 18
The portion of the circle that is not covered is 1/18.
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The sum of two consecutive integers is -92. Find the integers.
Answer:
x = -46.5
x + 1 = -45.5
Step-by-step explanation:
x + x + 1 = -92
2x + 1 = -92
-1 -1
------------------
2x = -93
---- ----
2 2
x = -46.5
x + 1
(-46.5) + 1
-45.5
Answer:
No solution
Step-by-step explanation:
We can set up an equation where x is the integer and x+1 is the next one
x+x+1=-92
2x+1=-92
2x/2=-93/2
x=-46.5
-46.5+1=-45.5
The problem is that integers do no include decimals so there is no possible whole number. This problem would be possible if it was consecutive odd integers.
Select the correct answer. The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate area of the cross section passing through the diagonals of opposite faces of this cube? A. 12 square centimeters B. 25 square centimeters C. 35 square centimeters D. 49 square centimeters Reset Next
C : 35
---------------------
What is the determinant of H = 2 4 9
3 3 1
4 5 3
Answer:5,3,7
2,4,9
3,6,4
Step-by-step explanation:he determinant of a 2 x 2 matrix A,
EVALUATING A 2 X 2 DETERMINANT,
DETERMINANT OF A 3 X 3 MATRIXFINDING THE DETERMINANT OF' A MATRIX,
FINDING THE COFACTOR OF AN ELEMENT, ,EVALUATING A 3 X 3 DETERMINAN,
EVALUATING A 4 X 4 DETERMINANT
voila
Answer: The answer is 15. You can use the calculator in Edge2020
Step-by-step explanation:
Edg2020
Solve the equation using the multiplication property of equality and the reciprocal of 1 4 . 1 4 ( r − 5 2 ) = 1 8
Answer: I dont know if this is right but the is 8 Ive never done this before.
Step-by-step explanation:
1 =
4 =
1 =
4 =
r− 5 ⋅ 2 = 1 = r = 11
8 = r = 11
what is the first step to solving this problem: 3x-10=2(x+3)
Answer:
x = 16
Step-by-step explanation:
3x - 10 = 2(x+3)
First step is solve this:
2(x+3) = 2*x + 2*3 = 2x + 6
then:
3x - 10 = 2x + 6
3x - 2x = 6 + 10
x = 16
Check:
3*16 - 10 = 2(16+3)
48 - 10 = 2*19 = 38
Answer:
x = 16
Step-by-step explanation:
you start off by isolating the variable
this is just a personal question if i have 47 assignments to do and i have to finish by the 20th of august how many do i need to do a day
Answer:
Hey there!
Today is August 7th, 2020.
Thus, August 20th is in 13 days.
If you have 47 assignments, you would have to do 3-4 a day to finish on time.
Hope this helps :) And good luck with your assignments.
Answer:
You have to do about 3 and a half assements a day.
Step-by-step explanation:
Just do 47 divides by 20 but since it is the 7th do 47 divides by 13
Have a nice day!
plz help me i need help
Dennis uses a soft-sided foot locker to store his sports equipment in his bedroom. The foot locker is 38 inches long and 12 inches wide and has a volume of
7,752 cubic inches. What is the height (in inches) of the foot locker?
A. 204
B. 17
Answer:
So.. I believe the answer is 17
Step-by-step explanation:
In order to get your answer, you would first multiply 38*12 which is 456
Then you would get that number (456) and divide it by 7,752
So 7,752/456 is 17
How did the temperature change if: At first it increased by 25% and then decreased by 40%
Answer:
24.6 % decrease
Step-by-step explanation:
Let x be the original temperature
Increase by 25%
x + .25x
1.25x
Decrease by 40%
The amount decreased is
(1.25x) *.40
.496x
Subtract that from 1.25x
1.25x - .496x
.754x
We need to find the percent decrease
1 - .754 = .246
24.6 % decrease
Answer:
Temperature decreased by 25%
Step-by-step explanation:
Let initial temperature be t
Step 1
Increase by 25%:
t + 25% = t + 0.25 t = 1.25 tStep 2
Decrease by 40%:
1.25 t - 40% = 1.25 t - 0.4 * 1.25 t= 1.25 t - 0.5 t = 0.75 tTemperature changed from t to 0.75 t
The difference in %:
0.75 t - t = -0.25 t = 25% decreaseTemperature decreased by 25%
40 POINTS!!!!!!!! WILL MARK BRAINLEST!!!!! 3. Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916. (a) What reasons might Sherelle give for saying that the 1916 coin is most likely in her bag? (b) What reasons might Venita give for saying that the 1916 coin is most likely in her bag? (c) Whose bag do you think is more likely to contain the 1916 coin? Explain your reasoning.
Answer:
Given : Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916
To find : What reasons might sherelle give for saying that the 1916 coin is most likely in her bag?
What reasons might venita give for saying that the 1916 coin is most likely in her bag?
Solution:
Sherelle: 72, 56, 81, 84, 75, 26, 39, 62, 65, 66, 85, 71, 74, 68, 73, 66, 83, 60, 58, 72
arranging in order
26, 39, 56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72 , 73, 74, 75, 81, 83, 84, 85
Median = (68 + 71)/2 = 69.5
Q1 = 61
Q3 = 74.5
IQR = 13.5
Sherelle claims that she has 26 which is closer to 16 hence her chances are more.
Venita: 45, 65, 73, 57, 79, 66, 69, 75, 51, 44, 53, 69, 58, 77, 51, 55, 53, 78, 70, 62
arranging in order
44, 45, 51, 51, 53, 53, 55, 57, 58, 62 ,65, 66, 69, 69, 70, 73, 75, 77, 78, 79
Median = 63.5
Q1 = 53
Q3 = 71.5
IQR = 18.5
IQR of Venita is High
so there are more chances that Sherelle will be having higher spread hence chances of having 16 in data Set is More
If Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Sherelle might say that she remembers seeing an old coin in her bag earlier and that she rarely removes things from her bag.
She might also argue that she has not used her bag as frequently as Venita, so the coin is more likely to be in her bag.
Venita might argue that she has used her bag more frequently than Sherelle, so the coin is more likely to be in her bag.
She might also say that she has checked her bag multiple times and has not seen the coin, so it must be in Sherelle's bag.
if Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.
On the other hand, if the coin was recently added to one of the bags, then Venita's bag could also be a likely candidate.
Hence, if Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.
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Use exponents to create an equivalent expression for: 1) 4 ∙ 4 ∙ 4 2) x ∙ x ∙ x ∙ x ∙ x ∙ x + 2 *
Answer:
1) 4^3
2) x^6 + 2
Step-by-step explanation:
1) 4 is the main number.
Then, however many fours there are is the exponent
( there are 3 fours )
2) x is the main variable
Then however many x's there are, that number will be your exponent
( there are 6 x's )
Answer:
Step-by-step explanation:
1) 4 ∙ 4 ∙ 4 is equivalent to 4^3: 4 is the base and 3 is the final exponent of this base.
2) x ∙ x ∙ x ∙ x ∙ x ∙ x + 2 * needs clarification. What do you mean by " 2 * ?"
x ∙ x ∙ x ∙ x ∙ x ∙ x + 2 * could be rewritten as x ∙ x ∙ x ∙ x ∙ x ∙ x + 2, which is equivalent to x^6 + 2. If you're still interested in solving this problem, please double check to ensure that you have copied it down correctly. Thank you.
A power line stretches down a 400-foot country road. A pole is to be put at each end of the road, and 1 in the midpoint of the wire. How far apart is the center pole from the left-most pole?
Answer:
200 ft
Step-by-step explanation:
Since the road is 400 ft, the midpoint of the road is 200 ft from each end of the road.
5. Rectangle ABCD is graphed in the coordinate plane. The following are vertices of the rectangle: A(-1,-6), B(-1,-7), C(1,7), and D(1,-6). Given these coordinates, what is the length of side AB in this triangle? On the lines below, provide the length of the side as well as your reasoning for how you arrived at your answer.
Answer:
The legnth of side AB would be 3 units
Step-by-step explanation:
First, you would determine that both point A and point B would have the same y-coordinate of 1. Then you would determine the difference between the x values of points A and B. Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.
What is the area of the figure? The figure is not drawn to scale.\ A. 27.36 cm2 B. 13.7 cm2 C. 9.1 cm2 D. 5.3 cm2
Answer:
B. 13.7 cm^2
Step-by-step explanation:
To find the height of any parallelogram, you must multiply the base x height.
The base is 1.9 cm. The height is 7.2 cm.
A = bh
A = (1.9)(7.2)
A = 13.68
13.7 is the closest answer we can get if we can round, but it really should be 13.68 cm^2.
Answer:
B. 13.7
Step-by-step explanation:
A = bh
A = 1.9*7.2
A = 13.68
(13.68 rounds up to 13.7)
The net of a right rectangular prism is shown below: Find the surface area of the prism with the given net (in square inches).
Answer:
248
Step-by-step explanation:
HELP ME PLEASE !! A duck paddles 4 yards downstream in 24 seconds. It takes the duck 40 seconds to paddle the same distance upstream. How fast can the duck paddle in still water ? What is rate of the current? Duck speed: _____ Current: ________ And if possible you can show me the steps?
Answer:
1. duck will travel in still water paddles 4 yards = 38,7 sec
up stream speed = 0,63 mph
down stream speed = 0,68 mph
I WILL GIE BRAINLY AND 50 POINTS PLZ PLZ PLZ HELP ME
Select the correct scientific notation form of this numeral using only 2 significant figures.
8,421,032.9266
84 × 10 9
8.4 × 10 10
8.4 × 10 6
None of these
Answer:
8.4 × 10^6
Step-by-step explanation:
Use floating-point system in which numbers are expressed as products consisting of a number between 1 and 10 multiplied by an appropriate power of 10 (as in 1.591 × 10−20)
Hope this helps <3
If you're good at bearings pls help meeeeee
Pls show full working out ty
Answer:
201
Step-by-step explanation:
use the law of sines
sine B / b = sine C / c
sine 75 / 19.6 = sine C / 12.5
inv sine C = ( sine 75 * 12.5 ) / 19.6
C = 38
the bearing C = 180 + 59 - 38 = 201
if f(x) -3 and g(x) = 3x2+x-6, find (f+9)(x).
A. 4x2 - 9
B. 3x2 + x - 3
C. 3x2 + 2X-9
D. 3x2 - 4x = 3
Answer:
3x^2 +x -3
Step-by-step explanation:
f(x)= 3 and g(x) = 3x^2+x-6
f+g (x) = 3+ 3x^2+x-6
Combine like terms
= 3x^2 +x -3
Please help
Quadrilateral ABCD is a parallelogram. Let E be a point on AB, and let F$\ be the intersection of lines DE and BC The area of triangle EBF is 1, and the area of triangle EAD is 9. Find the area of parallelogram ABCD.
Answer:
24
Step-by-step explanation:
Clara has a lawn in front of her house as mapped on the coordinate plane. She wants to plant a bed of flowers between the points P and Q. Find the length of the bed of flowers. Question 2 options: A) 2 units B) 7 units C) 13 units D) 8 units
Answer:
Look Below In the Explanation
Step-by-step explanation:
Point P has coordinates of (4,4) and point Q has coordinates of (4,-4).
Since both points have the same x-coordinates we can subtract point Q's y-coordinate from point P's y-coordinate.
I will set the equation up and try and figure this part by yourself. I hope you learned what to do from previous questions that are very similar to this that I answered.
4 - ( -4) = length of the bed of flowers
Hope that helps and maybe earns a brainliest!
Have a splendid day! :^)
The length of the bed of flowers will be 8 units.
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
Clara wants to plant a bed of flowers between the points P and Q.
And, The value of P = (4, 4)
And, The value of Q = (4, - 4)
Now,
Since, Clara wants to plant a bed of flowers between the points P and Q.
And, The value of P = (4, 4)
And, The value of Q = (4, - 4)
Hence, The length of the bed of flowers will be;
PQ = √ (- 4 - 4)² + (4 - 4)²
PQ = √64
PQ = 8 units
Thus, The length of the bed of flowers will be 8 units.
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If f(x)=(2x^2)-1, find:
-f(3x-1)+2
Answer:
-f(3x - 1) + 2 = -18x² + 12x + 1
Step-by-step explanation:
Step 1: Find f(3x - 1)
f(3x - 1) = 2(3x - 1)² - 1
f(3x - 1) = 2(9x² - 6x + 1) - 1
f(3x - 1) = 18x² - 12x + 2 - 1
f(3x - 1) = 18x² - 12x + 1
Step 2: Plug in f(3x - 1)
-(18x² - 12x + 1) + 2
Step 3: Evaluate
-18x² + 12x - 1 + 2
-f(3x - 1) + 2 = -18x² + 12x + 1
One of the solutions of the system of equations shown in the graph has an x-value of -4. What is its corresponding integer y-value? -1 -3 0 3
Answer:
Solution: (-4,-3)
Step-by-step explanation:
We need to complete the solution set of given graph.
We are given two graph one straight line and one parabola. We can see in graph both intersect at two points.
At x=-4 and x=-1
We can easily find the value of y corresponding to the value of x using given graph.
At x=-4,
First we draw a vertical line at x=-4 and see where it cut graph. From that point draw a horizontal line and see where y-axis cut.
The value of at x=-4 would be -3
Please see the attachment and see the vertical and horizontal line.
Thus, The Solution is (-4,-3)
Which inequality is shown on the number line below? ( the answers are in one image and the number line is shown in the other image) Please include ALL work!
Answer:
The inequality shown is p>-3
Explanation:
An open hole on the number line means that the inequality will be greater or less than a number. So far we have p <or> some number.
Since the line goes to the left then we know that p is greater than some number. Now we have, p> some number.
The inequality starts at -3 so we know that the equation must be p>-3.
The inequality shown is in the given number line will be p>-3.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
An open hole on the number line refers to that the inequality will be greater or less than a number.
So far we have p <or> some number.
Since the line goes to the left then we know that p is greater than few number on the line.
Now we have, p> some number.
Thus, The inequality starts at -3, so we know that the equation must be p>-3.
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