ahhh need help ajsnskdnm​

Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

Using the degree and radian relation π/4 radian equals 45°.

Given angle =π/4 radian

π radian equals 180 degrees means 1 radian equals 180/π degree or we can say 1-degree equals π/180 radian.

Since, 1 radian equals 180/π degree.

So, π/4 radian =180/π * π/4 degree.

π/4 radian = 45°.

So, π/4 radian equals  45°.

Therefore, using the degree and radian relation π/4 radian equals 45°.

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the second one.

Step-by-step explanation:

sjisidjdododpdpddod

Answer:

-3

Step-by-step explanation:

Answer:

x = \(\frac{11}{3}\)

Step-by-step explanation:

Given

4(2 - 6x) = - 80 ( divide both sides by 4 )

2 - 6x = - 20 ( subtract 2 from both sides )

- 6x = - 22 ( divide both sides by - 6 )

x = \(\frac{-22}{-6}\) = \(\frac{11}{3}\)

Answer:

Step-by-step explanation:

See attached worksheet

The value z0 for the probabilities are

(a)  P(Z > z0) = 0.5 is z0 = 0.00.

(b) r P(Z < z0) = 0.8686 is z0 = 1.10.

(c)  P(−z0 < Z < z0) = 0.90 is z0 = 1.65.

(d) P(−z0 < Z < z0) = 0.99 is z0 = 2.58.

In the standard normal distribution, probabilities are associated with different values of z, which represent the number of standard deviations away from the mean. For the given probabilities, we need to find the corresponding z-values.

(a) For P(Z > z0) = 0.5, we are looking for the z-value that corresponds to the area in the right tail of the distribution. Since the standard normal distribution is symmetric, the area in the left tail is also 0.5. Thus, the z-value is 0.00.

(b) For P(Z < z0) = 0.8686, we are interested in the area in the left tail. By using a standard normal distribution table or a calculator, we can find the z-value that corresponds to this probability. In this case, z0 is approximately 1.10.

(c) For P(−z0 < Z < z0) = 0.90, we are finding the area between two z-values symmetrically around the mean. We need to find the z-value that corresponds to an area of (1 - 0.90) / 2 = 0.05 in each tail. Using a standard normal distribution table or a calculator, we find that z0 is approximately 1.65.

(d) For P(−z0 < Z < z0) = 0.99, we are looking for a higher confidence level, so we need to find the z-value that corresponds to an area of (1 - 0.99) / 2 = 0.005 in each tail. By consulting a standard normal distribution table or a calculator, we find that z0 is approximately 2.58.

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Answer:

13) ?=90°

14) ?=180°-48° (int angles, u//v)

=132°

15) ?=93° (alt angles, u//v)

16) ?=96° (alt angles, u//v)

Answer:

13: 90°

14: 132°

15: 87°

16: 84°

Step-by-step explanation:

Just subtract the value given from 180

Hope this helps!

Answer:

f(n + 1) = f(n) + 20

Step-by-step explanation:

Let f(x) equals their pay at every hour of X

Where x is the number of hours, then if we go with the trend where f(1)=110, f(2)=130 f(3)=150 f(4)=170 then would see that as they are working every hour they have their pay increased by $20, from f(1)=110+ $20 gives us f(2)=130 and that is after an hour then we can say

1 hour work=$20

Then additional 1hour+ n= $20 + n

Hence,f(n+1)=f(n)+20

Answer:

n= -1.2

Step-by-step explanation:

I think because if you use slope equation to find the slope which is 3/5 and then you use point slop equation to find out what the equation would be. y=3/5x and then you substitue y for 18 and solve/simplify the equation to get -1.2.

Answer:

The answer is 13/3.

Step-by-step explanation:

8 2/3 is an improper fraction and is expressed as 26/3. CCF (copy, change, flip) is then applied to the division statement and 26/3 to becomes 4/8*26/3. The final answer is 104/24 which simples to 13/3.

The x intercepts are the x values of where the red line crosses the x axis

This is shown by the gray dots.

Answer: 0 and 4

X-intercepts are where the graph crosses the x-intercept.

Answer: (0,0) and (4,0)

Hope this helps!! :)

Answer:

hmmmmmmmmmmmdrdddddd

Answer:  

m = -2    

b = 16.5

Step-by-step explanation:

Answer:

M: -2

B: -3

Step-by-step explanation:

Answer:

\(\frac{9x^{2}}{y^{2}}\)

Step-by-step explanation:

First you need to do what is inside the parenthesis

Dividing by a variable with the same base means the powers subtract so if we do this for x we get.

\(\frac{x^{\frac{1}{2}}}{x^{-\frac{1}{2}}}=x^{\frac{1}{2}-(-\frac{1}{2})}=x^{1}=x\)

That brings us to

\((\frac{3xy^{-\frac{1}{2}}}{y^{-\frac{1}{2}}})^2\)

Then we need to do a similar process for the y variable.

\(\frac{y^{-\frac{1}{2}}}{y^{\frac{1}{2}}}=y^{-\frac{1}{2}-(\frac{1}{2})}=y^{-1}=\frac{1}{y}\)

Which brings us to

\((\frac{3x}{y})^2\)

From here we just need to square the top and the bottom of the fraction which brings us back to our final answer with

\(\frac{9x^2}{y^2}\)

Answer:

\(\dfrac{9x^2}{y^2}\)

Step-by-step explanation:

Given expression:

\(\left(\dfrac{3x^{\frac{1}{2}}y^{-\frac{1}{2}}}{x^{-\frac{1}{2}}y^{\frac{1}{2}}} \right)^2\)

Separate the variables inside the parentheses:

\(\implies \left( 3 \cdot \dfrac{x^{\frac{1}{2}}}{x^{-\frac{1}{2}}} \cdot \dfrac{y^{-\frac{1}{2}}}{y^{\frac{1}{2}}}\right)^2\)

\(\textsf{Apply the exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:\)

\(\implies \left( 3 \cdot x^{(\frac{1}{2}-(-\frac{1}{2}))} \cdot y^{(-\frac{1}{2}-\frac{1}{2})}\right)^2\)

\(\implies \left( 3 \cdot x^{1} \cdot y^{-1}\right)^2\)

\(\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:\)

\(\implies 3^2 \cdot x^{(1 \cdot 2)} \cdot y^{(-1 \cdot 2)}\)

\(\implies 9x^2y^{-2}\)

\(\textsf{Apply the exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:\)

\(\implies \dfrac{9x^2}{y^2}\)

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The hyperbola equationwith vertices (0, 3) (0, -3) and co-vertices (1, 0) (-1, 0) is (y²/9) - (x²/1) = 1.

The equation of a hyperbola with vertices (0, 3) (0, -3) and co-vertices (1, 0) (-1, 0) can be written as follows:

We can use the relationship c² = a² + b² to find the value of c. Plugging in the values of a and b, we get c² = 3² + 1² = 10. Therefore, c = √10.

The equation of a hyperbola with vertices on the y-axis and co-vertices on the x-axis is (y²/a²) - (x²/b²) = 1. Plugging in the values of a and b, we get (y²/3²) - (x²/1²) = 1.

Therefore, the equation of the hyperbola is (y²/9) - (x²/1) = 1.

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Answer:

80° and 70°

Step-by-step explanation:

As we know,

sum of interior angles equal to exterior angle which is opposite to them

so , 30° + x° = 110°

therefore, x° = 80°

also, by angle sum property of a triangle which states sum of all interior angles of a triangle = 180°

other inter angle will be 70° .

Step-by-step explanation:

In ∆ ABC,

∠ACD = ∠ABC + ∠BAC

110° = 30° + ∠BAC

∠BAC = 110° - 30°

∴∠BAC = 80°

∴ 3rd ∠ACB = 180° - (30° + 80°)

= 180° - 110°

= 70°

Hence, the other two angles of the triangle are 80° and 70°.

Hope this helps!!

The interest earned on the account is $5,750.53 when $50,000 is deposited for 2 years at an annual interest rate of 5.5% compounded monthly.

To calculate the interest earned on the account, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount (including interest)

P = the principal amount (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this case, the principal amount (P) is $50,000, the annual interest rate (r) is 5.5% (or 0.055 as a decimal), the interest is compounded monthly (n = 12), and the money is left in the account for 2 years (t = 2).

Plugging these values into the formula, we have:

A = 50000(1 + 0.055/12)^(12*2)

Simplifying the equation, we get:

A = 50000(1 + 0.004583333333333333)^(24)

A = 50000(1.004583333333333333)^(24)

A = 50000(1.115010680047)

A = 55750.53400235

To find the interest earned, we subtract the principal amount from the final amount:

Interest = A - P

Interest = 55750.53400235 - 50000

Interest = 5750.53400235

Therefore, the interest earned on the account is $5,750.53 (rounded to two decimal places).

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Answer:

(4, 4)

Step-by-step explanation:

If it is reflected on both axis, it will be (4, 4)

Answer:

A

Step-by-step explanation:

The transformation of the graph of f to obtain g is described as follows:

The graph of g is a vertical compression of the graph of f by a factor of 6 units.

The object must be dropped at a height of 1.66 feet from the moon so it hits the ground at the same time as on Earth,

The functions in the context of this problem are given as follows:

The multiplier that was applied to function f(t) to obtain function g(t) is given as follows:

-16x = -8/3

16x = 8/3.

x = 8/48

x = 1/6.

The leading coefficient was divided by 6, meaning that the graph of g is a vertical compression of the graph of f by a factor of 6 units.

The object hits the ground when the output of the quadratic function assumes a value of zero.

For the Earth, we have that the time to hit the ground is obtained as follows:

-16t² + 10 = 0

16t² = 10

t² = 5/8

\(t = \sqrt{\frac{5}{8}}\)

t = 0.79 seconds.

For the Moon, the function is given as follows:

g(t) = -8/3t² + h.

In which h is the initial height.

We want that g(t) = 0 when t = 0.79, hence the initial height is obtained as follows:

0 = -8/3(0.79)² + h

h = 8/3(0.79)²

h = 1.66 feet.

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The monthly interest rate you will be paying is approximately $2,583.33, and (b) the alternative loan is less attractive than the one from the car dealer, with the lender needing to charge an interest rate of approximately 2.31% to match the car dealer's rate.

(a) Calculation of the interest rate you will be paying every month:

Given:

The car will cost = $150,000

Amount to be paid upfront = 40%

Interest rate per annum = 2%

Loan tenure (no of years) = 5 years

Loan tenure (no of months) = 5 x 12 = 60 months

Using the formula to calculate the interest rate you will be paying every month:

Interest Rate = (Loan amount x interest rate per annum x Loan tenure (no of years) + loan amount) / Loan tenure (no of months)

Substituting the given values in the formula:

Interest Rate = (150000 x 2 x 5 / 100 + 150000) / 60

Interest Rate = (15000 + 150000) / 60

Interest Rate ≈ $2,583.33

Therefore, the interest rate that you will be paying every month is approximately $2,583.33.

(b) (i) You are able to secure financing for your car from another source. You will have to pay 3% per annum on this loan. The lender requires you to pay monthly for 5 years. Is this loan more attractive than the one from the car dealer?

Given:

Interest rate per annum = 3%

Loan tenure (no of years) = 5 years

Loan tenure (no of months) = 5 x 12 = 60 months

Using the formula to calculate the interest rate you will be paying every month:

Interest Rate = (Loan amount x interest rate per annum x Loan tenure (no of years) + loan amount) / Loan tenure (no of months)

Substituting the given values in the formula:

Interest Rate = (150000 x 3 x 5 / 100 + 150000) / 60

Interest Rate = (22500 + 150000) / 60

Interest Rate ≈ $2,916.67

The monthly payment amount is higher than the car dealer's, so this loan is not more attractive than the one from the car dealer.

(ii) Suppose the lender requires you to set aside $10,000 as security to be deposited with the lender until the loan matures and repayment is made. What interest rate must the lender charge for it to be equivalent to the interest rate charged by the car dealer?

Let x be the interest rate that the lender must charge.

Using the formula of compound interest, we can find the interest charged by the lender as follows:

150000(1 + x/12)^(60) - 10000 = 150000(1 + 0.02/12)^(60)

150000(1 + x/12)^(60) = 150000(1.0016667)^(60) + 10000

(1 + x/12)^(60) = (1.0016667)^(60) + 10000/150000

(1 + x/12)^(60) = (1.0016667)^(60) + 0.066667

Taking the natural logarithm on both sides:

60(x/12) = ln[(1.0016667)^(60) + 0.066667]

x ≈ 2.31%

Thus, the lender must charge approximately a 2.31% interest rate to be equivalent to the interest rate charged by the car dealer.

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Answer:

72.3 - 39.1 = 4tens - 7ones + 2tenth

Step-by-step explanation:

Give the expression 72.3 + (-39.1)

opening the parenthesis:

= 72.3 + (-39.1)

= 72.3 - 39.1

Breaking the decimal values into place values

72.3 = 7tens + 2units + 3tenth

72.3 = 7(10)+2(1)+3(1/10)

72.3 =70+2+0.3

Similarly for 39.1

39.1 = 3tens + 9units + 1tenth

39.1 = 3(10)+9(1)+1(1/10)

39.1 =30+9+0.1

72.3 - 39.1 = 70+2+0.3 - (30+9+0.1)

72.3 - 39.1 = 70+2+0.3 - 30-9-0.1

72.3 - 39.1  = 70-30+2-9+0.3-0.1

72.3 - 39.1 = 40 - 7 +0.2

72.3 - 39.1 = 4tens - 7ones + 2tenth

Answer:

72.3 - 39.1 = 70 + 2 + 0.3 + (-30) +(-9) + (0.1)

Step-by-step explanation:

got it from edmentum

Answer:

The cost at both Laser Flash and Laser storm would be the same after 4 games

Step-by-step explanation:

Let the number of games be represented as x

Laser flash charges an initial fee of $16 for gear and $4 per game

For Laser flash , the Equation is:

$16 + $4 × x

y= 16 + 4x

Laser storm charges an initial fee of $20 for gear and $3 per game

$20 + $3 × x

y = 20 + 3x

Hence: Equating both costs to each other

Laser flash = Laser Storm

16 + 4x = 20 + 3x

Collect like terms

4x - 3x = 20 - 16

x = 4 games

The cost at both Laser Flash and Laser storm would be the same after 4 games

Answer:

x=79

Step-by-step explanation:

22+2x=180

2x=180-22

2x=158

x=79

Answer:

79

Step-by-step explanation:

The two lines on the side of the triangles indicates that the opposite angles are equal to each other.

180-22=158

158/2=79 so f = 79

The null hypothesis for this scenario is that the valve performs to the specifications, i.e., the mean pressure produced by the valve is 5.9 lbs/square inch. The alternative hypothesis is that the valve does not perform to the specifications, i.e., the mean pressure produced by the valve is not 5.9 lbs/square inch.

To determine if there is sufficient evidence to reject the null hypothesis, we need to perform a hypothesis test.

Since the sample size is greater than 30 and we know the population standard deviation, we can use a z-test. We can calculate the test statistic as:

z = (sample mean - population mean) / (population standard deviation / sqrt(sample size))

Plugging in the given values, we get:

z = (6.1 - 5.9) / (0.9 / sqrt(130)) = 2.33

Using a standard normal distribution table, we find that the probability of getting a z-value of 2.33 or greater is approximately 0.01.

Since this probability is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is sufficient evidence that the valve does not perform to the specifications.

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Answer:

0.02

Step-by-step explanation:

X has 10 boxes and when divided by 100 is equal to 0.1. Y is 2 boxes so just divide it by 100 and you get 0.02.

Based on the sample of three sharks measured, we do not have sufficient evidence to support the marine biologist's claim.

To test marine biologists' claims that great white sharks off the coast of Bermuda grow longer than the known average length of 21 feet, a one-sample t-test can be performed.

First, we need to set the null and alternative hypotheses. Let μ be the true average length of a great white shark off Bermuda.

H0:

μ = 21 (true mean length equals 21 feet)

teeth:

μ > 21 (true average length greater than 21 feet)

You can then compute the sample mean and sample standard deviation of the three measured sharks.

x = (24 + 20 + 23) / 3 = 22.33 feet

\(s = sqrt(((24-22.33)^2 + (20-22.33)^2 + (23-22.33)^2) / 2) = 1.53 feet\)

You can use the t-test formula to calculate the t-statistic.

t = (x- μ) / (s / sqrt(n)) = (22.33 - 21) / (1.53 / sqrt(3)) = 2.21

This test has n-1 = 2 degrees of freedom.

Using the t-table or the 2 Degrees of Freedom Calculator, we can confirm that the critical value for the one-tailed test at the 5% significance level is 4.303.

The computed t-statistic (2.21) is less than the critical value (4.303), so the null hypothesis is not rejected.

Therefore, based on his three shark samples measured, there is not enough evidence to support a marine biologist's claim that great white sharks off Bermuda grow longer than the known average length of 21 feet at the 5% significance level.  

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The total capacitance of the circuit when the four capacitors are connected in series is 20 uF.

When capacitors are connected in series, their effective capacitance decreases. The total capacitance of the circuit can be calculated by using the following formula:
1/C total = 1/C1 + 1/C2 + 1/C3 + 1/C4
Plugging in the given values, we get:
1/C total = 1/20 + 1/50 + 1/40 + 1/60
1/C total = 0.05
Therefore, the total capacitance of the circuit is:
C total = 1/0.05 = 20 uF
So, the total capacitance of the circuit when the four capacitors are connected in series is 20 uF.

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The estimated mean amount of money spent per household on internet service each month is $59.95 with confidence interval.

To calculate the estimated mean amount of money spent per household on internet service each month, we first need to find the lower and upper bounds of the confidence interval. The lower bound is $47.45 and the upper bound is $72.45. We then take the average of these two numbers to get the estimated mean. The average of $47.45 and $72.45 is

($47.45 + $72.45) / 2

= $59.95.

Therefore, the estimated mean amount of money spent per household on internet service each month is $59.95.

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You should examine the data provided in the article and follow these steps to determine if U.S. households in early 2016 indeed worked fewer hours and took more leisure time.

To determine if U.S. households in early 2016 worked fewer hours and took more leisure time, you would need to analyze the data provided in the article. Here are the steps you should take:
1. Identify the relevant data: Look for statistics or figures related to working hours and leisure time in early 2016.
2. Compare the data: Compare the early 2016 data to data from previous years or periods to see if there is a noticeable change in working hours and leisure time.
3. Analyze trends: Observe any trends or patterns that emerge from the data comparison. This will help you understand if U.S. households worked fewer hours and took more leisure time during the specified period.
4. Interpret the results: Based on the data analysis, draw a conclusion about whether or not U.S. households worked fewer hours and took more leisure time in early 2016.

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Complete question:

Corporate spending on equipment, structures and intellectual property, decreased an annualized 2.2 percent after a 3.4 percent fall in the first quarter. Outlays for equipment dropped for the fourth time in the past five quarters. Spending on structures -- everything from factories to shops to oil rigs -- have increased in just one quarter since the end of 2014. Inventories and the trade gap are two of the most volatile components in GDP calculations. To get a better sense of demand in the U.S., economists look at final sales to domestic purchasers, or GDP excluding inventories and net exports. That measure increased 2.1 percent last quarter after a 1.2 percent gain. Also holding back economic growth in the second quarter was a decrease in residential investment, which fell at a 6.1 percent pace. That was the most since the third quarter of 2010 and marked the first decrease in two years. Government spending also shrank last quarter, declining 0.9 percent, the most in more than two years as outlays for the military fell. States and municipalities also cut back. The GDP report also showed price pressures remain limited. A measure of inflation, which is tied to consumer spending and strips out food and energy costs, climbed at a 1.7 percent annualized pace compared with 2.1 percent in the prior quarter. Fed policy makers, who left interest rates unchanged this week, said risks to the U.S. outlook have “diminished” and the labor market is getting tighter, suggesting conditions are turning more favorable for an increase in borrowing costs. U.S. Economy Grew Less-Than-Forecast 1.2% in Second QuarterSho ChandraIf

U.S. households decide to work fewer hours and take more leisure time, which component of GDP is most likely to decrease as a result? Choose one: A. net exports B. investment C. consumption D. government spending

Part 2 (2.5 points) Based on the information in the article, does it appear that in early 2016 U.S. households in fact worked fewer hours and took more leisure time? What do the data suggest? According to the article (household consumption,hoisehold incomes, or unemployment) grew at an annualized rate of ( what?) percent, a ( drop or jump ?) compared to the recent past. This suggests that households worked (fewer or mre?) hours and took (less or more?) leisure time. 2 OF 19 QUESTIONS COMPLETED