Answer:
The ratio of the government's expenses to it's receipts for 2013 is 1.3333333 trillion
Step-by-step explanation:
According to the given data we have the following:
Receipt=$2.1 trillion
Expenses=$2.8 trillion
Hence, it represent a decifit of $2.8 trillion-$2.1 trillion=$0.7 trillion
Therefore, to calculate the the ratio of the government's expenses to it's receipts for 2013 we would have to use the following formula:
ratio of the government's expenses to it's receipts=$2.8 trillion/$2.1 trillion
ratio of the government's expenses to it's receipts=1.3333333 trillion
The ratio of the government's expenses to it's receipts for 2013 is 1.3333333 trillion
Factor 1
Use algebra tiles to represent this polynomial: x2 -5x - 1
Product
Step 1: Drag one xtile to the section labeled Product.
Factor 2
Check
Answer:
See explanation and attachment.
Step-by-step explanation:
One of the ways to represent polynomial is the use of algebraic tiles.
To represent the polynomial x²-5x-1, we would use algebraic tiles to represent each of the three terms.
Algebra tiles come with different colors and sizes. Each size is equivalent to a degree of different monomials.
The x² tile is a monomial with degree of 2, the x tile is a monomial with degree of 1 and the unit tile (constant) is a monomial with degree of 0.
Let the shaded tiles represent the positive tiles and the unshaded tile represent the negative tiles.
Find attached the diagram for the tiles.
To represent the polynomial x² - 5x - 1, we would need 1 shaded x² tile, 5 unshaded x tiles and 1 unshaded unit tile. Then we would arrange the tiles to correspond with the polynomial.
Answer:
Answer:
(drag one tile) +x 2 into the product then click check.
(drag five) -x into the product then click check.
(drag one) - tile into the product and click check..
Step-by-step explanation:
Question 31 pts Prove the statement is true using mathematical induction: 2n-1 ≤ n! Use the space below to write your answer. To make the < symbol, you might want to use the < with the underline feature.
Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.
Integral cos(3x)^3sen(3x)^7dx
One way to do this is to exploit the Pythagorean identity,
[tex]\cos^2x+\sin^2x=1[/tex]
to rewrite
[tex]\cos^3(3x)=\cos(3x)\cos^2(3x)=\cos(3x)(1-\sin^2(3x))[/tex]
so that
[tex]\displaystyle\int\cos^3(3x)\sin^7(3x)\,\mathrm dx=\int\cos(3x)\left(\sin^7(3x)-\sin^9(3x)\right)\,\mathrm dx[/tex]
Then substitute [tex]u=\sin(3x)[/tex] and [tex]\frac{\mathrm du}3=\cos(3x)\,\mathrm dx[/tex] to get the integral
[tex]\displaystyle\frac13\int u^7-u^9\,\mathrm du=\frac13\left(\frac{u^8}8-\frac{u^{10}}{10}\right)+C[/tex]
[tex]=\boxed{\dfrac{\sin^8(3x)}{24}-\dfrac{\sin^{10}(3x)}{30}+C}[/tex]
which is one correct form of the antiderivative. There's no reason we can't use the identity from before to express the integrand in terms of powers of cos(3x) instead.
What is 1/3 divided by 3
Answer:
1/9 or 0.11
Step-by-step explanation:
1/3 divided by 3
= 1/3 / 3
= 1/3 / 3/1
= 1/3 x 1/3 (the rule is a/b / c/d = a/b * d/c)
= 1/9 or 0.11(1 continues repeating for ever so just make it 0.11)
The sum of three consecutive natural numbers is 939, find the numbers. The three numbers in increasing order are _______, ________, and _________
Answer:
312, 313, and 314
Step-by-step explanation:
Since the three numbers are consecutive, each one is one larger than the last. Therefore, we can express them as x, (x+1), and (x+2). Therefore:
[tex]x+(x+1)+(x+2)=939 \\\\3x+3=939 \\\\3x=936\\\\x=312\\\\x+1=313\\\\x+2=314[/tex]
Hope this helps!
In a cookie jar, 1/5 of the cookies are chocolate chip and 1/2 or the rest a peanut butter. What fraction of all the cookies is peanut butter?
Answer:
If 1/5 are chocolate chip, then 4/5 are not chocolate chip because 1 - 1/5 = 4/5. Half of 4/5 are peanut butter. Half of 4/5 is 2/5, so 2/5 of the cookies are peanut butter.
hope it helps!!!!! :]
Si la medida de la circunferencia de una glorieta es de 70 m, ¿cuanto mide su diametro?
Diameter of round bud is 22.29 m.
Given that,
The circumference of round bud = 70 m
We have to calculate its diameter,
Since we know that,
Its shape is circular,
Since,
The circumference of the circle, also known as the perimeter of the circle, is the measurement of the circle's boundary. The area of a circle, on the other hand, specifies the territory it occupies. If we open a circle and draw a straight line through it, the length of the line equals the circumference.
S,
⇒ Circumference = 2πr
Where r is radius of circle,
⇒ 70 = 2πr
⇒ r = (70/2x3.14)
⇒ r = 11.14
Here we know that,
Diameter = 2r
Hence,
Diameter = 22.29 m
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Which statement about the temperatures −13.4°C and −13.2°C is true?
-13.4°C>−13.2°C because −13.2°C is older than −13.4°C.
−13.4°C<−13.2°C because −13.2°C is colder than −13.4°C.
−13.4°C<−13.2°C because −13.2°C is warmer than −13.4°C.
−13.4°C>−13.2°C because −13.2°C is warmer than −13.4°C.
Answer:
I think "−13.4°C<−13.2°C because −13.2°C is warmer than −13.4°C" is the right answer
Y is directly proportional to the square root of p h=5.4 when p=1.44 find h when p= 2.89
Answer:
I dont know what the answer is exactly
A right rectangular prism has a base area of 20 cm² and a height of 9.2 cm.
What the volume of the prism?
Answer:
184 cm³
Step-by-step explanation:
Volume= base*height
V= 20 cm²*9.2 cm= 184 cm³
Answer:184 cm³
Step-by-step explanation: I took the test a while ago
Please help! Correct answer only, please! Consider the matrix shown below: Find the determinant of the matrix C. Group of answer choices A. -14 B. 14 C. -22 D. The determinant cannot be found for a matrix with these dimensions.
Answer:
Hello There Again. The correct answer 14.
Explanation: Because you need to do Multpliy 2 and 4 and then add again 8 and 6 to get 14 2x4=8+6=14.
Hope It Helps! :)
Answer:
Well, I think the the right answer is 14. Because, 2 x 8 + 6 - 4 - 5 + 1= 14
Hope This Helps!!~
Good Luck!~
A nationwide sample of influential Republicans and Democrats was asked as a part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur coal could be burned in coal-fired power plants. The results were: At the .02 level of significance, can we conclude that there is a larger proportion of Democrats in favor of lowering the standards? Determine the p-value.
Answer:
We conclude that there is an equal or larger proportion of Republicans in favor of lowering the standards.
Step-by-step explanation:
The complete question is: A nationwide sample of influential Republicans and Democrats was asked as a part of a comprehensive survey whether they favored lowering environmental standards so that high-sulfur coal could be burned in coal-fired power plants. The results were:
Number sampled: 1,000 (republican) , 800 (democrats)
Number in favor: 200 (republican) , 168 (democrats)
At the 0.02 level of significance, can we conclude that there is a larger proportion of Democrats in favor of lowering the standards? Determine the p-value.
Let [tex]p_1[/tex] = proportion of Republicans in favor of lowering the standards.
[tex]p_2[/tex] = proportion of Democrats in favor of lowering the standards.
SO, Null Hypothesis, [tex]H_0[/tex] : [tex]p_1 \geq p_2[/tex] {means that there is an equal or larger proportion of Republicans in favor of lowering the standards}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]p_1 < p_2[/tex] {means that there is a larger proportion of Democrats in favor of lowering the standards}
The test statistics that would be used here Two-sample z-test for proportions;
T.S. = [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex] ~ N(0,1)
where, [tex]\hat p_1[/tex] = sample proportion of Republicans in favor of lowering the standards = [tex]\frac{200}{1000}[/tex] = 0.20
[tex]\hat p_2[/tex] = sample proportion of Democrats in favor of lowering the standards = [tex]\frac{168}{800}[/tex] = 0.21
[tex]n_1[/tex] = sample of Republicans = 1000
[tex]n_2[/tex] = sample of Democrats = 800
So, the test statistics = [tex]\frac{(0.20-0.21)-(0)}{\sqrt{\frac{0.20(1-0.20)}{1000}+\frac{0.21(1-0.21)}{800} } }[/tex]
= -0.52
The value of z test statistics is -0.52.
Now, P-value of the test statistics is given by the following formula;
P-value = P(Z < -0.52) = 1 - P(Z [tex]\leq[/tex] 0.52)
= 1 - 0.6985 = 0.3015
Now, at 0.02 significance level, the z table gives a critical value of -2.054 for left-tailed test.
Since our test statistic is more than the critical value of z as -0.52 > -2.054, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that there is an equal or larger proportion of Republicans in favor of lowering the standards.
What is the index when x^2/3 is rewritten as a radical expression?
Answer:
Step-by-step explanation:
[tex]\sqrt[3]{x^{2} }[/tex] written as a radical expression
The radical is the symbol that is used to represent the root in the expression n√x. The index in the given expression x^(2/3) when rewritten as a radical expression is 3.
What is a radical?The radical is the symbol that is used to represent the root in the expression n√x.
Given the expression [tex]x^{\frac23}[/tex], which can be rewritten in the form of radical as,
[tex]x^{\frac23}\\\\[/tex]
[tex]= x^{2 \times \frac13}\\\\[/tex]
Using the law of exponent, [tex]a^{\frac1x} = \sqrt[x]{a}[/tex], then we can write,
[tex]= \sqrt[3]{x^2}[/tex]
Now, in the given expression 3 is an index, x² is the radicand and the symbol √ is known as the radical.
Hence, the index in the given expression x^(2/3) when rewritten as a radical expression is 3.
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2. Lupe put $11,500 in a certificate of deposit that gained simple interest at a rate of 6.7%. How much interest
did the account gain after 5 months?
Answer:
321
Step-by-step explanation:
Principal amount = $11,500
Simple interest = 6.7%
time :5 months
as simple interest is calculated for a year, time needs to be calculated in years
12 months comprises 1 year
1 month is equivalent to 1/12 years
thus, 5 month is equivalent to (1/12)* 5 years
time in years = 5/12
Simple interest is calculated by formula
SI = p*r*t/100
where SI is simple interest earned
p is principle amount
r is rate of interest
t is time in years
substituting the value of p, r and t in the formula for SI, we have
SI = (11500*6.7*5)\12*100 = 321.04
interest,the account gained after 5 months is 321.
Which number produces a rational number when multiplied by 0.5
Answer:
Step-by-step explanation:B is a rational number and therefore when added to 0.5 produces another rational number, 0.75.
Keep gettin this wrong please help!!!
Answer:
none of the options shown
Step-by-step explanation:
You can add 2x+2 to the inequality and get ...
8 ≥ 2x
4 ≥ x . . . . . divide by 2
This means that there should be a solid circle at x=4, and shading should be to the left of that.
None of the three graphs shown here is appropriate. (We don't see Option 2.)
__
Attached is the output of a graphing calculator. The solid line at x=4 corresponds to a filled dot on a number line plot.
What is 6 1/3-2 1/4 as a fraction?
Answer:
[tex]49/12[/tex]
Step-by-step explanation:
[tex]6\frac{1}{3} -2\frac{1}{4}[/tex]
[tex]\frac{19}{3} -\frac{9}{4}[/tex]
[tex]\frac{49}{12}[/tex]
Answer:
4 1/12
Step-by-step explanation:
6 1/3 - 2 1/4
Get a common denominator of 12
6 1/3*4/4 - 2 1/4*3/3
6 4/12 - 2 3/12
4 1/12
Solve the triangle if B=78º and a=41. Round to the nearest tenth
Answer:
c = 197.2
b = 192.9
Angle C = 90°
Angle A = 12°
Step-by-step explanation:
the side a = 41 and the angle B = 78°, we can use a sine and a tangent to find the hypotenuse and the other side.
Using a sine, cosine, or tangent depends on which side and angle you know.
sin A =opposite/hypotenuse = a/c
Cos B = adjacent/hypotenuse = a/c
Cos78 = 41/c
c = 41/Cos 78
c = 41/0.2079
c = 197.21
c = 197.2
Since it is a right angle triangle, let's apply Pythagoras theorem to find the other side.
Hypotenuse ² = opposite ² + adjacent²
c² = a² + b²
197.2² = 41² + b²
b² = 197.2² - 41²
b² = 38887.84 - 1681
b² = 37206.84
b =√37206.84
b = 192.89
b = 192.9
Angle C = 90°
Angle A = 180-(90 +78)
(sum of angles in a triangle =180°)
Angle A = 180-168
Angle A = 12°
How long would it take Belinda's $800 investment to double in value if she has a bond with a 8.75% interest rate?
Answer:
it takes approximately 11 years and 3 months (11.4 years) for Belinda's investments to double.
Step-by-step explanation:
To calculate the time it takes for Belinda's money to double, we will use the simple interest formula as shown below:
Simple interest = P × R × T
where:
P = principal = $800
R = Rate in decimal = 8.75% = 0.0875
T = time = ???
simple interest = $800 ( her money doubles)
∴ 800 = 800 × 0.0875 × t
800 = 70 × t
∴ t = 800 ÷ 70 = 11.4 years. (11 years and 3 months)
Therefore after approximately 11 years and 3 months, Belinda's investments doubles
Answer:
8.23
how long would it take belinda's $800 investment to double in value if she has a bond with a 8.75% interest rate?
Round to the nearest cent
$1.6845
Answer:
$1.68
Step-by-step explanation:
Remember that cents are in the hundredths place. So think of it as rounding to the nearest hundredth place. 1.6845 ---> 1.68
Answer:
$1.68
Step-by-step explanation:
old rhyme i learnt when i was little but it helps with rounding:
5 or more let it soar, 4 or less let it rest
Help asap GIVING BRANLIST!!!!
Answer:
The first graph
Step-by-step explanation:
when x is equal to something it is always up
y = 2 would be #4
Answer:
The first graph
Step-by-step explanation:
Personally, I use the acronym HAY and VAX to remember this rule. This means that horizontal lines always correlate with y and vertical lines always correlate with x. A horizontal equation (y=#) is valid, so to say, whereas vertical (x=#) is undefined. It is undefined because there are multiple values of y for the same value of x. You can remember this with the following scenario: A person will always be able to walk in a straight line without getting injuries, but if a person tries to walk up the wall, they will fall and can break their bones, making their body "undefined"
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT
Answer:
Step-by-step explanation:
1. 30 plants
the rest were confusing sorry
Plssss answerrr the question is ez
Answer:
yes, the birdhouse has a surface area of 210 inches while the plywood has 1152 inches of surface area
yes the birdhouse is 210 inches while the wood is 1152
indicate below whether the equation in the box is true or false.
Answer:
True
Step-by-step explanation:
Multiply the top the same as the bottom
6*2=12
10*2=20
Answer:
The answer is true.
Step-by-step explanation:
6/10 = 12/20 because if you multiply 2 to the numerator and the denominator of 6/10, then the resulting fraction is 12/20. Because 12/20 = 12/20, the answer is true.
The box plots summarize the data for heights of players on a national
basketball team and a national volleyball team.
Basketball
Volleyball
72 73 74 75 76
77
78
79
Which conclusion can you draw from the displays
one!
O
On average, there is a wide spread of heights of
O
basketball players are shorter than these volleyball pla
O
basketball players have the same height as these
On average
players.
On averag
tball players are taller than these volleyb
(Diagram of the box plots is attached below)
Options:
A. 75% of the volleyball players’ heights are equal to or greater than the median basketball players’ heights
B. 75% of the volleyball players’ heights are equal to or greater than the median basketball players’ heights
C. 25% of the basketball players’ heights are equal to or greater than the median volleyball players’ heights
D. 75% of the basketball players’ heights are equal to or greater than the median volleyball players’ heights
Answer:
D. 75% of the basketball players’ heights are equal to or greater than the median volleyball players’ heights
Step-by-step Explanation:
Based on the box plots given in the diagram attached below, the median height of volleyball players is 79.
Also, from the data set of basketball players, we can approximately infer that the heights from Q2, Q3, and Q4 make up 75% of the data set of the heights of basketball players.
Heights at Q2 in the data set of basketball players starts from 79, which is equal to the median height of volleyball players.
Therefore, from the displays, we can conclude that "75% of the basketball players’ heights are equal to or greater than the median volleyball players’ heights".
You borrow $A at an interest rate of r% (per month) and pay it off over t months by making monthly payments of P = g(A, r, t) dollars. Suppose you plan to borrow $ 4000 with a monthly interest rate of 2 % for 12 months. In financial terms, what do the following statements tell you?
a. gA (8000, 2, 12) = 0.045
b. gr (8000, 2, 12) = 44.79
A Broadway theater has 800 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $ 40 comma main seats for $ 30 comma and balcony seats for $ 20. If all the seats are sold, the gross revenue to the theater is $ 23 comma 200. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 20 comma 000. How many are there of each kind of seat?
orchestra seats: main seats: balcony seats:
Answer:
orchestra seats: main seats: balcony seats: 160: 400: 240
Step-by-step explanation:
Let number of orchestra seats = x
Let number of main seats = y
Let number of balcony seats = z
As per given statement, total seats are 800
[tex]x +y+z=800 ..... (1)[/tex]
Sales price of each orchestra seat = $40
Sales price of each main seat = $30
Sales price of each balcony seat = $20
If all the seats are sold, total revenue is $23200.
[tex]\Rightarrow 40x + 30y+20z=23200 ...... (2)[/tex]
If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 20 comma 000.
[tex]\Rightarrow 40\times \dfrac{x}{2} + 30y+20z=20000\\\Rightarrow 20x + 30y+20z=20000 ...... (3)[/tex]
Here, we have 3 variables and 3 equations. Let us solve them.
Subtracting Equation (3) from equation (2):
[tex]\Rightarrow 20x = 3200\\\Rightarrow x = 160[/tex]
Putting value of x in equations (1) and (2):
Equation (1)
[tex]\Rightarrow 160 +y+z=800\\\Rightarrow y+z=640 ...... (4)[/tex]
Equation (2)
[tex]\Rightarrow 40\times 160 +30y+20z=23200\\\Rightarrow 30y+20z=16800\\\Rightarrow 3y +2z=1680 ...... (5)[/tex]
Equation (5) - 2 [tex]\times[/tex] Equation(4):
[tex]\Rightarrow y =400[/tex]
Putting value of y in equation (4):
[tex]400 +z = 640\\\Rightarrow z =240[/tex]
Hence, answer is:
orchestra seats: main seats: balcony seats: 160: 400: 240
The circle is centered at the origin and the length of its radius is three. What is the circles equation
Answer:
x^2 + y^2 = 3^2
Step-by-step explanation:
Use the standard equation of a circle with center at (h, k) and radius r:
(x - 0)^2 + (y - k)^2 = 3^2, or
x^2 + y^2 = 3^2
On average, the parts from a supplier have a mean of 31.8 inches and a standard deviation of 2.4 inches. Find the probability that a randomly selected part from this supplier will have a value between 27.0 and 36.6 inches. Is this consistent with the Empirical Rule of 68%-95%-99.7%?
Answer:
The probability is P=0.9545.
The empirical rule is consistent, as it would have estimate a probability of 95%.
Step-by-step explanation:
We have a random variable with mean 31.8 in. and standard deviation of 2.4 in.
We have to find the probability that a randomly selected part from this supplier will have a value between 27.0 and 36.6 in.
If we assumed a normal-like distribution, we can calculate the z-score for both values:
[tex]z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{27-31.8}{2.4}=\dfrac{-4.8}{2.4}=-2\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{36.6-31.8}{2.4}=\dfrac{4.8}{2.4}=2[/tex]
That can be interpreted as an interval that is 2 standard deviations wide, centered on the mean.
This interval has a probability of:
[tex]P(27.0<x<36.6)=P(-2<z<2)=0.9545[/tex]
If we apply the empirical rule, with 2 standard deviations from the mean, we would have estimate a probability of 95%, which is accurate.
A carpenter had a piece of wood that was 15 feet in length. If he needs only 10 &five twelfth feet of wood, then how much wood should he cut ?
Answer:
12.5 feet
Step-by-step explanation:
He only needs 10/12 of a 15 foot long piece of wood. We need to find 10/12 of the length of the wood.
That is:
10/12 * 15 = 12.5 feet
He only needs 12.5 feet of the piece of wood.