Answers
Note the rules
(+)(+)=(+)(-)(-)=(+)(-)(+)=(-)(+)(-)=(-)So
Option A -->Negative
Option B-->Positive
Option C –»Negative
Option D —»Positive
Positive product:
[tex]\left(-\dfrac 23 \right) \left(- \dfrac 23 \right)~ \text{and}~ \left(\dfrac 23 \right) \left(\dfrac 23 \right)[/tex]
Negative product:
[tex]\left(-\dfrac 23 \right) \left(\dfrac 23 \right)~ \text{and}~ \left(\dfrac 23 \right) \left(-\dfrac 23 \right)[/tex]
Related Questions
A spring with spring constant 380 N/m has a force of 37 Newtons applied to it (stretching it). How much does the spring stretch?
Answers
Since a force of 37 N is applied to the spring, the spring stretches by 9.74 cm
To answer the question, we need to know Hooke's law.
What is Hooke's law?This states that the force, F on a stretched spring is directly proportional to its extension, x.
So, F ∝ x
Mathematically, F = kx where k = spring constant
The extension of the spring(How much the spring stretches)Making x subject of the formula, we have
x = F/k
Given that F = 37 N and k = 380 N/m, we have
x = F/k
x = 37 N/380 N/m
x = 0.0974 m
x = 9.74 cm
So, the spring stretches by 9.74 cm
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Inflation will negatively affect your savings if it:
O A. Increases faster than your savings.
B. is deducted from your savings every paycheck,
C. Increases slower than your savings.
O D. is added to your savings every paycheck.
Answers
Inflation will negatively affect your savings if it increases faster than your savings.
How does inflation affect your savings?
Inflation is when there is a persistent rise in the general price levels of an economy.
Savings is negatively affected if it increases faster than the rate of growth of ones savings. For example, if inflation increases at a rate of 20% and your savings increase by 10%. Te real increase in savings is 10% - 20% = -10%.
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Answer:
A. Increases faster than your savings
Hope this helps :)
Helppppppppppppppppl
Answers
Answer: A
Step-by-step explanation: You're Welcome
Which ordered pair is shown on the graph?
6
5
4
3
2
1
COL + 0
1 2 3 4 5 6 7
Enter the number that belongs in the green box.
([?],[)
Answers
Answer:
4
Step-by-step explanation:
(4,5)
Solution:First, check the x-coordinate of the point.The x-coordinate is 4 (that's the number that belongs in the green box).Now, check the y-coordinate.It is equal to 5.Remember, coordinates look like this:(x,y)Hope it helps.
Do comment if you have any query.
The product of two consecutive odd integers is 1155. Determine the integers.
Answers
Answer:
Two possibilities --- see below
Step-by-step explanation:
x first number x+2 the next number
x * (x+2) = x^2 + x = 1155
x^2 +2 x - 1155 = 0 Quadratic formula shows
x = 33 then 33, 35
or x = -35 then -35 , - 33
Round 6.385 to the nearest half.
Answers
To round 6.385 to the nearest tenth consider the hundredths’ value of 6.385, which is 8 and equal or more than 5. Therefore, the tenths value of 6.385 increases by 1 to 4.
Hope this helps
What is the equation of the circle?
Answers
Answer: C: (x - 4)² + (y+2)² = 25
Step-by-step explanation:
The formula for a circle is: (x - h)^2 + (y - k)^2 = r^2
Using this, the formula should be:
C: (x - 4)² + (y+2)² = 25
1. Can we add any two matrices
together? If so, explain why; if
not, explain why not and give an
example of two matrices that
cannot be added together.
Answers
Step-by-step explanation:
If we add two matrices,
there rows and columns must be the same.
For example, consider matrix
[tex] \binom{4}{2} \binom{1}{3} + \binom{5}{9} [/tex]
we cant add these matrices by the first martix had 2 colums and 2 rows.
The second has 1 column and 2 rows.
Simplify: ^6 square root x times ^4 square root y^3
Answers
The expression [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is an illustration of an algebraic expression
The simplified expression of [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is x^1/6y^3/4
How to simplify the expression?The expression is given as:
[tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex]
Rewrite the expressions as exponents
x^1/6 * y^3/4
Multiply the expresions
x^1/6y^3/4
Hence, the simplified expression of [tex]\sqrt[6]{x} \times \sqrt[4]{y^3}[/tex] is x^1/6y^3/4
Read more about expressions at:
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Answer:
Step-by-step explanation:
edge
*URGENT* PLEASE HELP
Answers
[tex] \frac{3z}{2} - 5 = 28 \\ [/tex]
[tex] \frac{2}{3} . \frac{3z}{2} = 33. \frac{2}{3} \\ [/tex]
[tex]z = 22[/tex]
a game company sold 82 bored games and 18 card games. What is the ratio of the number of bored games to the total number of games
Answers
Answer: 82:18 or 4.55:1
Expl:
The ratio of something describes how many x per y.
Here, we have 82 Board Games sold VS 18 Card Games.
The exact Ratio of BG to CG is 82:18 and when simplified you may find 4.55:1, by dividing 82/18, and checking with 4.55x18=82.
Hope this Helped!
Number of board games= 82
Total number of games = board games + card games
=82 + 18 = 100
Ratio= number of board games / total number of games = 82/100
Simplify 82/100 to get:
Ratio= 41/50
HOPE THIS HELPS :)
Simplify. 4 4/5 - 3 2/5
A. 1 1/5
B. 1 2/5
C. 7 6/5
D. 8 1/5
Answers
Answer:
3/2= 1 1/2
Step-by-step explanation:
simply 3/2 as a decimal
If a giraffe eats 75 pounds of acacia leaves a day, how many grams would that be?
Answers
Answer:
34,050 grams
Step-by-step explanation:
To convert pounds to grams, you must multiply the mass (75) by 454.
454 * 75 = 34,050
34,050 grams is equal to 75 pounds.
Hope this helps:)
A water balloon is launched in the air from a height of 12 feet and reaches a maximum height of 37 feet after 1.25 seconds. Write an equation to represent the height h of the water balloon at time t seconds. Then, find the height of the balloon at 2 seconds.
Answers
The height of the balloon is given as h(t) = -16t² + 40t + 12 at 2 seconds, the height is 28 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the water balloon after t minutes, hence:
h(t) = -16t² + vt + h₀
Where h₀ is the initial height = 12 feet and v is the initial velocity, hence:
h(t) = -16t² + vt + 12
The height of 37 feet after 1.25 seconds, hence:
37 = -16(1.25)² + v(1.25) + 12
v = 40 m/s
h(t) = -16t² + 40t + 12
After 2 seconds:
h(t) = -16(2)² + 40(2) + 12
h(2) = 28 feet
The height of the balloon at 2 seconds is 28 feet
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Find the product of the sum of 76 and 13 and the difference of 92 and 49.
Answers
3827
hope it helps...!!!
4 to the 5th power times 4 to the -7th power divided by 4 to the -2nd power
Answers
Answer:
1
Step-by-step explanation:
4^(5)×4^(−7)÷4^(−2)
=4^(5+(-7)-(-2))
=4^(5-7+2)
=4^(0)
=1
Hey!
Your answer is 1.Heres how i got the answer
4^(5)×4^(−7)÷4^(−2)
=4^(5+(-7)-(-2))
=4^(5-7+2)
=4^(0)
Hope this helps!
Help help help math math
Answers
Answer:
-2
Step-by-step explanation:
(-3x/2) - 3 = 3
add 3 to both sides
(-3x/2) = 3
multiply both sides by 2
-3x = 6
divide both sides by -3
x= -2
please help me with this question
Answers
Simplify the expression.
Answers
Answer:
the answer is A or 0√5
hope it helps
BYE
Please help, I need this asap
Answers
Answer:
it's 10
Step-by-step explanation:
A ratio of 2:5 means it is probably counting by 5s. Since 5 X 5 equals 25, 2 X 5 equals 10. since ethe larger polygon is 25, this means the number can't be bigger than 25 so it is counting by fives.
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment. A 5-column table with 2 rows. Column 1 is labeled Bond with entries A B C 7 and one-half 15, X Y Z 7 and three-fourths 15. Column 2 is labeled current yield with entries 7.5, 8.4. Column 3 is labeled volume with entries 128, 17. Column 4 is labeled Close with entries 104 and three-fourths, 100 and one-half. Column 5 is labeled net change with entries blank, + one-fourth. What price would you pay for each bond if you purchased one of them today? (Remember the face value is $1000.) a. ABC: $1047.50 XYZ: $1005.00 b. ABC: $1104.75 XYZ: $1100.50 c. ABC: $872 XYZ: $983 d. ABC: $750 XYZ: $840
Answers
Answer:
It’s c
Step-by-step explanation:
Bond A and C the annual interest rate is 1.126%.
Bond X and Y the annual interest rate is 1.25%.
What is Annual Interest?The interest rate on a credit card is the cost of borrowing money. Interest rates on credit cards are often provided as an annual rate. This is known as the annual percentage rate (APR). You can avoid paying interest on purchases on most cards if you pay your amount in full each month by the due date.
The formula for Bond Coupon Rate
Bond Coupon Rate = Bond's current yield / 100
For bond A and C coupon rate is 7.5%.
For X and Y coupon rate is 8.4%.
Now, Annual Interest Rate
= Bond coupon rate x Bond's Face value
For bond A and C the annual interest rate
= 7.5% of $15
= $1.125
For bond X and Y the annual interest rate
= 8.4% of $15
= $1.26
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Graphing a linear equation of the form y=mx how do I plot y=-2x
Answers
a line through the origin with a slope of -2 (for every 1 unit to the right, move 2 units down)
when plotting, plug in values for x, i would recommend starting with 0, 1, and -1, then find y for each of these x values, then connect the points
Vectors u and v are shown on the graph.
Answers
Nevada is almost twice the size of which country?
A. Algeria
B. Mauritania
C. Kenya
D. Democratic republic of the Congo
Answers
Answer:
Nevada is very small compared to the countries listed below. I don't understand.
A shape is made of 12 right triangles of equal size. Each right triangle has a base of 4cm and a height of 5cm. What is the total area, is square centimeters, of the shape?
Answers
Answer: 120 cm²
Step-by-step explanation:
Let's start by finding the area of one triangle
The formula for finding the area of a triangle is [tex]A=\frac{hb}{2}[/tex]
Where
A is the area
h is the height (5 for this)
and b is the base (4 for this)
Let's sub in our values and solve.
[tex]A=\frac{(5)(4)}{2}\\A=\frac{20}{2}\\A=10[/tex]
Since there are 12 triangles in the shape we must multiply our area for one triangle by 12 to find the total area of the shape
12×10=120
Please help me solve
Answers
Answer:
x = 36.3°
using tane rule:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
Here!
x = missing angleopposite = 22adjacent = 30=============
[tex]\hookrightarrow \sf tan(x) = \dfrac{22}{30}[/tex]
[tex]\hookrightarrow \sf x= tan^{-1}(\dfrac{22}{30} )[/tex]
[tex]\hookrightarrow \sf x= 36.253^{\circ \:}[/tex]
[tex]\hookrightarrow \sf x= 36.3^{\circ \:}[/tex] ( rounded to nearest tenth of a degree)
Let's find
[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{22}{30}[/tex]
[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{11}{15}[/tex]
[tex]\\ \rm\Rrightarrow tan\theta=0.734[/tex]
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(0.734)[/tex]
[tex]\\ \rm\Rrightarrow \theta=36.278°[/tex]
[tex]\\ \rm\Rrightarrow \theta=36.3°[/tex]
A rectangle has a height of 4 and a width of x^2+3x+2
Answers
Answer: The area of this rectangle is x² + 12x + 8
Step-by-step explanation:
Area of a rectangle:
A = L * W
A = L * W
A = 4 * (x² + 3x + 2)
A = 4x² + 12x + 8
Carlos ran 3 1/2 miles on Saturday and
2 1/2 miles on Sunday. How many yards
did Carlos run in all? Show your work.
Answers
Answer:
6 yard
Step-by-step explanation:
Since, it given that:
Carlos ran 3 1/2 miles on Saturday and 2 1/2 miles on Sunday.
And asking for how many yards carlos run in all
in all = add
3 1/2 + 2 1/2
Add the whole number
3 + 2 = 5
Since they have the same denominator we can just add them
1/2 + 1/2 = 1 whole
Since it a whole we can add to the whole number
5 + 1 = 6
Thus, Carlos run 6 yards.
Lenvy
Answer:
6 yards
Step-by-step explanation:
To Find:
How many yards did Carlos run in all?
Solution:
In all means addition in this question
Thus,
3 1/2 and 2 1/2
3 1/2 + 2 1/2
we can turn them into improper fraction and then find the answer
3 1/2 = 7/2 and 2 1/2 = 5/2
7/2 + 5/2 = 12/2
12/2 = 6
Hence, Carlos run 6 yards in all
[RevyBreeze]
factor the expression 90+36
Answers
Answer:
18 is the factor of 90 and 36 the rest are 1,2,3,6,9 hope it helps:)
Step-by-step explanation:
Mike was playing center field when he turned and ran to catch a fly ball that went to the wall, 390 feet from home plate. A camera behind home plate recorded the action. How many feet did Mike have to run to make the catch if the camera turned 9°?
A.112 ft
B. 123 ft
C. 90 ft
D. 121 ft