Answer:
5
Step-by-step explanation:
Money multiplier helps to explain how an economic activity boosts the economic output for the country. It shows how saving in terms of deposit increases the net supply of money in any economy.
Money multiplier = 1/reserve ratio
given reserve ratio = 20% = 20/100 = 0.2
thus,
Money multiplier = 1/0.2 = 5
Sally’s house is located at (5, −1) and her school is located at (−9, 7). Her best friend Molly lives at
the midpoint of Sally’s house and school. What coordinate represents Molly’s house?
A. (2, −3) B. (−2, 3) C. (3, −2) D. (−3, 2)
Answer:
B. (−2, 3)
Step-by-step explanation:
To find the midpoint of a segment, add the x-coordinates of the endpoints and divide by 2. Add the y-coordinates of the segments and divide by 2.
x: (5 + (-9))/2 = -2
y: (-1 + 7)/2 = 3
Midpoint: (-2, 3)
Answer: B. (−2, 3)
Answer:
b
Step-by-step explanation:
-9+5=-4÷2=-2
-1+7=6÷2=3
Julie started to solve the exponential expression (-2).
(-2)3 = -2 -2 -2 - ?
Which of these explains why Julie gets a negative number for her final answer?
The base -2 is a negative number.
The exponent 3 is an odd number.
The exponent 3 is a positive number.
The base - 2 is an even number.
Answer:
just did this on a test and it was
The exponent 3 is an odd number.
Step-by-step explanation:
Hince the statements which justify it:
The base -2 is a negative number.
The exponent 3 is an odd number.
Julie gets a negative number for her final answer when solving the expression (-2)³ = -2 x -2 x -2
Because the base, -2, is a negative number.
When an odd number of negative numbers are multiplied together, the result is always negative.
In this case, there are three negative numbers (-2 x -2 x -2),
Which is an odd number, resulting in a negative answer.
However, since the base is negative, the result will always be negative for any odd exponent.
Therefore, the negativity of the base and the odd value of the exponent together lead to a negative final answer.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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DUDE I NEEED HELP FRIST ANSWER GET BRIANLY
Answer:
b and d
Step-by-step explanation:
help me plx can somewon help me
Move the decimal so that there is one non-zero digit on the left of the decimal point. (The number of decimal spaces you move = exponent on 10) Since the decimal is moving to the left, we know the exponent is positive.
2 + 7 = 9
Answer: 9 * 10^16
Solve. 4x - 2 ——— = -7 2
Answer:
x = -3
Step-by-step explanation:
Dividing by 2 is the same as multiplying by 1/2. The distributive property applies.
[tex]\dfrac{4x-2}{2}=-7\\\\2x-1=-7\quad\text{simplify}\\\\2x=-6\quad\text{add 1}\\\\\boxed{x=-3}\quad\text{divide by 2}[/tex]
I need help... please help me through this trigonometry. I need full answer.
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan(x + y) = [tex]\frac{tanx+tany}{1-tanxtany}[/tex] , tan(x - y) = [tex]\frac{tanx-tany}{1+tanxtany}[/tex], tan [tex]\frac{\pi }{4}[/tex] = 1
tan2x = [tex]\frac{2tanx}{1-tan^2x}[/tex]
Consider the left side
tan([tex]\frac{\pi }{4}[/tex] + Θ ) - tan([tex]\frac{\pi }{4}[/tex] - Θ )
= [tex]\frac{tan\frac{\pi }{4}+tan0 }{1-tan\frac{\pi }{4}tan0 }[/tex] - [tex]\frac{tan\frac{\pi }{4}-tan0 }{1+tan\frac{\pi }{4}tan0 }[/tex]
= [tex]\frac{1+tan0}{1-tan0}[/tex] - [tex]\frac{1-tan0}{1+tan0}[/tex]
= [tex]\frac{(1+tan0)^2-(1-tan0)^2}{(1-tan0)(1+tan0)}[/tex]
= [tex]\frac{1+2tan0+tan^20-1+2tan0-tan^20}{1-tan^20}[/tex]
= [tex]\frac{4tan0}{1-tan^20}[/tex]
= 2 [tex]\frac{2tan0}{1-tan^20}[/tex]
= 2 tan2Θ = right side
Which set below is the domain of
{(2, -3),(-1,0), (0,4),(-1,5),(4, -2)}?
(AD {-3, 0, 4, 5, -2} (CD, {2,-1,4}
(3) -3,4,5,-2) (D) {2,-1,0,4}
Answer:
Domain { -1,0,2,4}
Step-by-step explanation:
{(2, -3),(-1,0), (0,4),(-1,5),(4, -2)}
The domain is the input values
Domain { 2,-1,0,-1,4}
We normally write them in order from smallest to largest and no repeating
Domain { -1,0,2,4}
Answer:
[tex]\large \boxed{\sf D. \ \{2,-1,0,4\}}[/tex]
Step-by-step explanation:
The domain are all possible values of x.
[tex]\{(2, -3),(-1,0), (0,4),(-1,5),(4, -2)\}[/tex]
The x values are 2, -1, 0, -1, and 4.
The domain of the set is {2,-1,0,4}.
Find the area of the figure at the right in square feet. The figure can be separated into a rectangle and a trapezoid. Find the area of each. (image attached)
Answer:
Shape 1: Trapezoid
A= h(a+b/2)
A=32
Shape 2: rectangle
A=lw
A=96
32+96=128
Let me know if this helps!
5.
A leaky faucet is losing water and is filling a 7-gallon bucket every 21 hours. At that rate, how many
gallons of water will the faucet leak in 30 hours?
(2-Point Holistic Rubric)
Show your work.
Answer:
10 gallons.
Step-by-step explanation:
A leaky faucet is losing water and;
filling a 7-gallon bucket every 21 hrs.
So 7 gallons of water are leaked in 21 hrs
We are to find the number of gallons that will be leaked in 30 hrs.
Cross-multiplying this gives;
[tex]\frac{30 * 7}{21}[/tex] = 10 gallons.
PLEASE HELP!! I WILL GIVE BRAINLIEST AND 16 POINTS!!
Complete the equation of the line through (3,-1) and (4,7). Use exact numbers. What does "y" equal?
Answer:
lets start with finding the slope
m=7-(-1)/4-3
m=8
now we can choose either of the 2 points given and the slope and plug that into the point slope form
y-7=8(x-4)
y-7=8x-32
y=8x-25
and that is your equation
Answer:
y = 8x - 25
Step-by-step explanation:
The equation of a line is y = mx + b
To find the slope use y2-y1/x2-x1
When you plug it in it will be 7 + 1/4 - 3 (8)
Now it is y = 8x + b
Lastly you need to plug in a coordinate to the equation to find b
7 = 8(4) + b (-25)
Which data set could be represented by the box plot shown below?
Answer:
Step-by-step explanation:22
a grandfather purchased a brand new car in 1958 for $2500.the car depreciated $325 a year. what would the car be worth 4 years after it was bought?
Answer:
$1200
Step-by-step explanation:
Since the value of the car depreciates $325 a year.
After 4 years it would be 1300, becuase $325 × 4 = $1300.
So, $2500 - $1300 = $1200
Yan has already finished Three-fifths of the 45 math problems he was assigned today. Each math problem took him 1 four-fifths of a minute to complete. If this pace continues, how much more time, to the nearest minute, will the rest of the problems take him to finish?
Answer:
[tex]\boxed{\sf 18\ problems = 22\ minutes}[/tex]
Step-by-step explanation:
Yan has finished = [tex]\frac{3}{5} of \ 45 \ maths \ problems[/tex]
Yan has finished = [tex]\frac{3}{5} * 45[/tex]
=> 3 * 9
=> 27 problems
Yan has problem left:
=> 45 - 27
=> 18 problems
1 problem = [tex]1 \frac{4}{5}[/tex] of a minute
1 problem = 1.2 minutes
18 problems = 1.2 * 18
18 problems = 21.6 minutes
18 problems ≈ 22 minutes
Answer:
[tex]\boxed{\sf 32 \ minutes}[/tex]
Step-by-step explanation:
Yan finished 3/5 of 45 math problems.
[tex]\frac{3}{5} \times 45=27[/tex]
Yan finished 27 math problems.
[tex]\sf 1\frac{4}{5} \ of \ a \ minute= 108 \ seconds=1.8 \ minutes[/tex]
Yan has [tex]45-27=18[/tex] problems left.
1 problem = 1.8 minutes
18 problems = [tex]1.8* 18=32.4[/tex] minutes
32.4 minutes to nearest minute will be 32 minutes.
The area of a rectangular field is 6052 m².
If the width of the field is 68 m, what is its length?
Answer:
length = 89 mStep-by-step explanation:
Area of a rectangle = l × w
where
l is the length
w is the width
From the question
Area = 6052 m²
width = 68 m
To find the length substitute the values into the above formula
6052 = 68l
Divide both sides by 68
We have the final answer as
length = 89 mHope this helps you
Plzz help I’ll mark brainliest
Answer:
6cot 50
Step-by-step explanation:
Tan 50=6/x
x= 6/(tan 50)
x= 6cot 50°
Answer:
? = 6 cot 50
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 50 = 6 /?
? tan 50 = 6
? = 6 / tan 50
We know that 1 / tan 50 = cot 50
? = 6 cot 50
PLEASE HELP PLEASE WILL MARK BRAINLY
Answer:
Every 18 miles he uses 3 gallons
divide this:
18 ÷ 3 = 6 miles per gallon
30 miles = 30 ÷ 6 = 5 gallons
7 gallons = 7 x 6 = 42 miles
48 miles = 48 ÷ 6 = 8 gallons
10 gallons = 10 x 6 = 60 miles
Hope this helps :D
Multiply (−7)(2)(−2).
a
−28
b
−14
c
28
d
14
Answer:
option(c) 28
Step-by-step explanation:
(−7)(2)(−2)
=> (-14) x (-2)
=> 28 [negative x negative = positive]
Hey there!
(-7)(2)(-2)
= -14(-2)
= 14(2)
= 28
Answer: 28
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Find the distance between the points X and Y shown. Question 5 options: A. 29−−√ B. 21−−√ C. 21 D. 5–√
Answer:
A
Step-by-step explanation:
From the graph we can notice that the coordinates of the poinrs x and y are:
● x(-2,0)
● y(3,-2)
There are many methods to find the distance between x and y. We will use the distance formula.
Let d be the distance between x and y.
● d = √[(-2-3)^2 + (0-(-2))^2]
● d = √[(-5)^2 + 2^2]
● d = √(25+ 4)
● d = √(29)
The other method was using the pythagorian theorem. d is the hypotenus.
How is 200,000 + 7,000 +500 + 3 written in standard form?
Answer:
207,503
Step-by-step explanation:
you just have to add the 4 numbers so you get 207,503
━━━━━━━☆☆━━━━━━━
▹ Answer
207,503
▹ Step-by-Step Explanation
200,000 + 7,000 + 500 + 3
= 207,503
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Find the length of MK¯¯¯¯¯¯ A. 7 B. 47 C. 19 D. 34
Answer:
19
Step-by-step explanation:
JH = 47 (70 - 23)
HM = 23
MK = 19 (42 - 23)
KU = 34 (81 - 47)
UC = 7 (47 - 40)
CN = 40
Answer:
19
Step-by-step explanation:
HM + MK = HK
23 + MK = 42
Subtract 23
MK = 42-23
MK =19
Please multiply 6c(4)
Answer:
24c
Step-by-step explanation:
6 * c * 4 = 6 * 4 * c = 24c
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
24c
Step-by-step explanation:
6c * 4 is 24c. You multiply normally and make it c :)
Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amount of space in his garden is equal to 494949 square meters. Which measurement does 494949 square meters represent?
Graph the line 2x + 3y = 12
Answer:
your answer y=4 x=6
Step-by-step explanation:
Step by step on how to do this plz
Answer:
w=6
Step-by-step explanation:
First, we want to isolate the variable.
Add 6 on both sides
[tex]\frac{3w+5w}{2} =24[/tex]
Multiply both sides by 2.
3w+5w=48
Combine like terms.
8w=48
Divide both sides by 8.
w=6
I hope this helps!
pls ❤ and give brainliest pls
you
work.
Factor each expression. If the expression cannot be factored, write
cannot be factored. Use algebra tiles if needed. (Examples 4,5,6
4. 3x + 6
5. 2x - 15
6.12x+30y
Answer:
4) 3(x+2)
5) Cannot be factored
6)3(4x+10y)
Step-by-step explanation:
4)3x+6
3(x+2)
Proof:
3(x+2)
3x+6
5)2x-15
Cannot be factored.
6)12x+30y
3(4x+10y)
Proof:
3(4x+10y)
12x+30y
Hope this helps ;) ❤❤❤
HELLLLLLPPOP HELPPPP
Part a
60h ≤ 438
Part b
7.3 hours
Must click thanks and mark brainliest
find the surface area of the composite figure. answer asap please :)
Answer:
144
Step-by-step explanation:
what is the domain of the function shown in the graph below?
answer type: Interval, all real numbers, all values except one, all values except two
interval:
Answer:
all values except one (-2)
Step-by-step explanation:
The function heads off toward infinity at x=-2, so it is not defined there. The function is defined for all values except one.
please help with this math question
Answer:
E H
F F
G E
I hope I helped.
An architect maps two buildings, which are located on a piece of land, onto a coordinate plane. He wants to build a wall at the diagonal AC to divide the piece of land into two parts. What will be the length of the wall? A. 65–√ units B. 6 units C. 237−−√ units D. 2 units
Answer:
[tex] 6\sqrt{5} units [/tex]
Step-by-step Explanation:
The length of the wall = diagonal AC = distance between point A (-6, -2) and point C (6, 4).
Distance formula between two points on a graph (d) = [tex] \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
[tex] A(-6, -2) = (x_1, y_1) [/tex]
[tex] C(6, 4) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(6 - (-6))^2 + (4 -(-2))^2} [/tex]
[tex] d = \sqrt{(6 + 6)^2 + (4 + 2)^2} [/tex]
[tex] d = \sqrt{(12)^2 + (6)^2} [/tex]
[tex] d = \sqrt{144 + 36} [/tex]
[tex] d = \sqrt{180} [/tex]
[tex] d = \sqrt{36*5} [/tex]
[tex] d = 6\sqrt{5} [/tex]
The length of the wall = [tex] 6\sqrt{5} units [/tex]