Answer:
9w
Step-by-step explanation:
First: combine like terms
3 - 5w + 12 + 2w - 3
(-5w) + 2w = (-3w)
Second: subtract 3 from 12 (12 - 3)
3 - 3w + 12 - 3
Third: subtract 3w from 3 (3 - 3w)
3 - 3w + 9
Forth: add 9 to w (w + 9)
w + 9
Answer:
9w
The temperature outside was -10°F. During the
night the temporadurre dropped another 120F
What was the lowest temperature that night
Answer:
-130F
Step-by-step explanation:
the temperature was already at -10F and then it droped another 120F which means -10-120 = -130F
-4
- 2
What is the solution to the systems of equations shown above?
Helppp me :(
Answer:
6
Step-by-step explanation:
-4+-2 ?? did that hellp
Solve the right triangle.
b= 1.26 c=4.58
Need answers for A,B,a
I keep getting it wrong.
Answer:
a=4.40
Step-by-step explanation:
To find value of a use pythagoras theorem:
c^2=b^2+a^2
Rearrange the equation:
a^2=c^2-b^2
Substitute the values:
a^2=(4.58)^2-(1.26)^2
After calculation:
a=4.40
Try It!
Suppose that Katie finished the race 0.13 second before Amy. What was Katie's
time in the race? Use an estimate to check that your answer is reasonable.
¿De qué número 64 es el 80%?
Given: LM ∥ KN
LP ⊥ KN , KL = MN
KN = 30, LM = 20
m∠KLM=126°
Find: LP
An angle is produced at the point where two or more lines meet. Thus the value of LP required in the question is approximately 14.
Two lines are said to be perpendicular when a measure of the angle between them is a right angle. While parallel lines are lines that do not meet even when extended to infinity.
From the question, let the length of LP be represented by x.
Thus, from the given question, it can be deduced that;
LM ≅ PN = 20
KP = KN - PN
= 30 - 20
KP = 10
LP = x
Also,
<MLP is a right angle, so that;
< KLP = < KLM - <PLM
= 126 - 90
<KLP = \(36^{o}\)
So that applying the Pythagoras theorem to triangle KLP, we have;
Tan θ = \(\frac{opposite}{adjacent}\)
Tan 36 = \(\frac{10}{x}\)
x = \(\frac{10}{Tan 36}\)
= \(\frac{10}{0.7265}\)
x = 13.765
Therefore the side LP ≅ 14.
For more clarifications on segments and angles, visit: https://brainly.com/question/4976881
#SPJ1
Help please!!!!!!!!
7. The Taylor Rule states that the central bank should set the short-term nominal interest rate (i)
based on the inflation gap [the difference between inflation (3.14) and desired inflation (3.14*)] and the
output gap (the percentage difference between real GDP (Y) and potential GDP (Y*) An
example of a Taylor Rule would be the formula
i - 3.14 = 1.5 +0.5(3.14-3.14*) +0.5 (Y-Y*/Y*)
The term on the left-hand side is the real interest rate. Consider the following table
Inflation rate (3.14), %
Target inflation rate (3.14*), %
Output gap, %
Real interest rate
Nominal interest rate
Base Scenario Scenario B Scenario C
4.0
20
2.0
20
0.0
20
20
20
00
a. Fill in the real and nominal interest rates chosen by the policy maker in the base scenano
b. How does scenario B differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move the inflation rate toward its target?
c. How does scenario C differ from the base scenario in terms of the inflation and output gaps?
Calculate the real interest rate. Has the real interest rate moved in the direction that would
move output toward the potential level?
d. Suppose a new chair of the central bank is appointed and she switches to a new policy rule of
the form given in the next equation. Recalculate the real and nominal interest rates for the
three scenarios. What has been the effect of the change in weights?
i-3.14=1.5 +0.75(3.14-3.14*) +0.25(Y-Y*/Y*)
The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%
a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.
b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).
Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).
Now, let's calculate the real interest rate.
Real interest rate in base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)
= 19.22%.
The real interest rate has moved in the direction to move inflation rate towards its target.
c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.
Inflation gap is 0% in both the scenarios
Inflation rate is 3.14% and in scenario C, inflation rate is 2%.
Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%
= 16.86%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)
= 20.15%.
Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.
The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.
For more related questions on inflation gap:
https://brainly.com/question/31419643
#SPJ8
the following figure shows triangle abc with side lengths ab=10 bc=8 and ca=5 de is constructed parallel to ab and to originate at point d, the missing of ac
Answer:
Step-by-step explanation:
8. Choose all decimals that are equivalent to (7 x 100) + (5 × 1) + (8 × 7) + X 10 (1 × 100). 75.081 705.810 705.801 75.810 705.81 705.081
Answer:
705.81 and 705.810
Step-by-step explanation:
700 + 5 + 0.8 + 0.01 = 705.81
Answers:
705.810
705.81
What is the largest integer n with no repeated digits that is relatively prime to 6?
Note that two numbers are considered relatively prime if they share no common factors besides 1.
Answer: 987654301
Step-by-step explanation:
The factors of 6 are 2 and 3:
2*3 = 6.
So we want a big number that is no divisible by 2 or 3.
Then:
The number can not end in 0, 2, 4, 6 or 8.
The addition of the digits can not add to a multiple of 3.
If we want to construct the largest number possible, we should try to use the largest number at the beginning, so we have:
9876543210
but we can not end in 0, so we can write this as:
9876543201
but 9 + 8 +7 + 6 +5 + 3 + 2 + 1 = 45, it is a multiple of 3, so we should discard one of these numbers, lets discard the 1, as it is the smaller one.
we can write:
987654203 but if instead we remove the 2, we can leave the 3 in the place and get:
987654301 that is bigger, it ends with an odd number so it is not a multiple of 2, and the addition of all the digits adds up to 44, so this is not a multiple of 3.
Then this is the answer,
To the nearest square inch, what is the surface area of the square pyramid shown in the image? A. 175 in.^2 B. 200 in.^2 C. 400 in.^2 D. 700 in.^2 Please show ALL work! :D
Answer: C. 400 in^2
Step-by-step explanation:
First find the surface area or the area of the base which is in the shape of a square and has a side length of 10 in. So square 10 to find the area.
Area of base: 10 * 10 = 100
Next find the area of one of the triangles.
As we could see the triangle has a slant height of 15 in and a base of 10. To find the area of a triangle we multiply the base times the height and multiply it by half.
Area of one triangle. 15 * 10 = 150 * 1/2 = 75
Since one side of the triangle has a surface area of 75 inches we will multiply it by 4 since there are four triangles to find the total surface area of the four faces.
75 * 4 = 300
We now know that the the 4 triangles surface area dd up to 300 so we will add it to the area of the base which is 100 to find the whole surface area of the figure.
300 + 100 = 400
if a=1 b =2and c= -3 find the value of a2b2c-2
Hello !
you made a typo with the c^-2 because otherwise it does not make a round result
\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)
Help please i dont know how to do it
Answer:
14 is D but I don't 15 question answer
Answer this please I’ll give brainalist + points, please help!
Answer:
The answer is C because the largest mode is the longest set with the biggest numbers
Step-by-step explanation:
Please Help! Locks in 1 hour! Will give Brainlest!
A unit circle attached
The angle is 5π/3
tan(5π/3)tan(300)tan120-\sqrt{3}Please can I have help with these questions
one solution for the equation 4x-8y=36 has an x-value that is fives times it's y-value. what is that solution
Find the area of this circle. Use 3 for T.
Α = πη2
5 in
[?] in?
Hope this help!!!
Have a nice day!!!
for the equation (x+3)(x+1)=1 explain why the solutions are not -3 and -1
Answer:
Step-by-step explanation:
(x+3)(x+1)=1
x²+3x+x+3=1
x²+4x+2=0
x²+4x+4=-2+4
(x+2)²=2
x+2=±√2
x=2+√2
and x=2-√2
so x≠-3
and x≠-1
someone please solve this for me i swear i will give you a brainliest i really need help on this
Answer:
1) Yes, it is rational.
2) Yes, it is rational.
3) There are three repeating digits.
Step-by-step explanation:
Lets solve them in order.
1) First lets see what the characteristics of a rational number are. We know that, to be a rational number, a number must either:
Can be expressed as a fractionRepeatAre integersAnd terminateAn irrational number is a number that never repeats or ends. They are also not integers, but we will focus on the never repeats or ends part.
So, lets look at it. Does 0.147 repeat, terminate, be expressed as a fraction, and is it an integer? Well, its not an integer, it doesn't repeat, and it isn't a fraction. However, it does terminate, which means it is rational.
2) Is 0.147 repeating a rational or irrational number. Remember, we need to see if it terminates, repeats, is an integer, or is a fraction. Well, it doesn't terminate, it is not a fraction, and it is not an integer. However, it does repeat. That means that it is a rational number.
3) Now, to figure out how many repeating digits there are. In math, we know that the line above the numbers in the decimal place means that they repeat. So simply find out how many digits are below that line. Well, we see that 1, 4, and 7 are under the line. In total that is three digits. So the answer is 3.
ILL GIVE BRAINLEST Determine whether the two angles in each figure are complementary, supplementary, or neither
find the range of the balances for the 5 day period
Help pleaseeeeeeeeeeee, I need the answer fast.
Answer:
perimeter ( in cm )
= 4+13+9+5+5+5+10+3
= 54 cm
1 cm = 3 yards
54 cm = 54×3
= 162 yards
Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.
AB = 16, BC = 8, and CD = 9
The value of x cannot be determined and the answer is undefined.
To find the value of x in this scenario, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, triangle ABC is a right triangle with AB as the hypotenuse. So, we can use the Pythagorean theorem to solve for AC, which is equal to the square root of (AB^2 - BC^2).
Using the given values, we have:
AC = sqrt(16^2 - 8^2)
AC = sqrt(256 - 64)
AC = sqrt(192)
AC ≈ 13.86
Now, we can use triangle ACD to solve for x. This triangle is also a right triangle with CD as the hypotenuse. So, we can use the Pythagorean theorem again to solve for AD, which is equal to the square root of (CD^2 - AC^2).
Using the given values, we have:
AD = sqrt(9^2 - 13.86^2)
AD = sqrt(81 - 192.23)
AD = sqrt(-111.23)
We can't take the square root of a negative number, so there is no real solution for x in this scenario.
To learn more about : value
https://brainly.com/question/843074
#SPJ11
Cyruer.
Pucic Or the
(a) The surface area and volume of a sphere are in the ratio of 3 : 7
cm. What is the circumference
of its great circle and volume ? Find it.
Answer:
Hello,
Step-by-step explanation:
Area of the sphere:
\(S=4*\pi *r^2\)
Volume of the sphere:
\(V=\dfrac{4*\pi *r^3}{3}\)
\(\dfrac{S}{3} =\dfrac{V}{7} \\\\\dfrac{4*\pi *r^2}{3} =\dfrac{4*\pi *r^3}{3*7} \\\\1=\dfrac{r}{7} \\\\\\r=7\\\\great \ circle: 2*\pi* r=14*\pi\\\)
\(Volume=\dfrac{4*\pi *7^3}{3} =\dfrac{1372*\pi }{3} \approx{1436,7550...(cm^3)}\)
How do I graph G(x)=-4+7x ?
select the correct answer from each drop down menu.  quadrilateral abcd is a parallelogram. complete the statements to prove that ab =cd and bc = ad
Due to the fact that the numbers 4 and 5 both refer to comparable triangles, the correct quadrilateral ABCD is a parallelogram.
What does a quadrilateral mean?The polygon consists of four vertices and four sides. Angles add up to 360. A form of quadrilateral with equal and parallel opposite sides is a parallelogram.
Given
A parallelogram is an ABCD quadrilateral.
Both AB and BC are parallel to CD and AD, respectively.
Consequently, it is a parallelogram's condition.
A form of quadrilateral with equal and parallel opposite sides is a parallelogram.
Here, CAB and ACD are congruent, and BCA and CAD are congruent.
Then ABC is comparable to ADC, CAB is to ACD, and BCA is to CAD.
Then ABC is comparable to ADC.
Yet AC is AC.
ADC and ABC are then congruent.
As a result, for the equivalent triangle, 4 and 5 have the same significance.
To Learn more About parallelogram Refer To:
https://brainly.com/question/970600
#SPJ1
Two parallel lines are crossed by a transversal.
What is the value of d?
The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.
What is a Transversal?In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.
The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.
Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°
Learn more about Transversal on:
https://brainly.com/question/24607467
#SPJ1
Based on the chemical equation, use the drop-down menu to choose the coefficients that will balance the chemical
equation:
H₂0H₂ + O₂
2, 2, 1 use the drop-down menu to choose the coefficients that will balance the chemical equation.
How do chemical equations work?
These equations employ chemical symbols and formulae to represent chemical reactions. The reactants are represented on the left side of a chemical equation, and the products are on the right.
The reactant entities are presented on the left hand side of a chemical equation, while the product entities are given on the right hand side.
Due to the fact that there are two oxygen atoms on the right side of the equation but only one on the left, the coefficient of H2O will be 2. As of right now, the right side only has two hydrogens whereas the left side has four. Adding a 2 as the H2 coefficient will bring the equation into balance. The equation already has a balanced state, therefore we don't need to adjust the O2 coefficient.
Final answer, 2, 2, 1.
Learn more about chemical equation
brainly.com/question/29039149
#SPJ1