If x = 4 cm, what is the surface area of the geometric shape formed by this net?
A.
70 cm2
B.
30 cm2
C.
25 cm2
D.
96 cm2

Answer:

Nominal.

Step-by-step explanation:

The option that is NOT a level of measurement is qualitative.

With qualitative, numbers are not assigned to the measurement.

A level of measurement classifies and relates values to variables.  Four levels of measurement have been identified as nominal, ordinal, interval, and ratio.

Ordinal can be quantitative or qualitative, while interval and ratio are always quantitative, and nominal has non-quantitative values assigned as measurements.

Thus, qualitative is not a recognized level of measurement.

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The effect that does NOT relate to one's driving ability is breathalyzer test results indicating a high BAC. Option B.

While the breathalyzer test measures the blood alcohol concentration (BAC), it is a method used to determine the level of alcohol in a person's system and is commonly used in assessing impairment for driving under the influence.

Therefore, it directly relates to one's driving ability and is not excluded from the effects on driving ability caused by a BAC of .2 percent.

On the other hand, options, lack of coordination, impaired gross motor skills, and impaired reactions all directly relate to one's driving ability as they affect the physical and cognitive abilities necessary for safe and efficient driving.

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Answer:

16 the the tenth power

Step-by-step explanation:

four to the second power is ... 400

4×4≈16

(4+4=8)

(8+8=16)

(400-300=100)

(100-96=4)

Since she has already saved $145, the total amoun to save is $1345-$145=$1200

Then, we have to divide $1200 by 12 to see how much should she save each week:

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Answer:

0-4 should go up to 1     5-9 should go up to 3     10-14 should go up to 4     15-19 should go up to 5        20-14 should go up to 2

Step-by-step explanation:

Hope this helps!

The solution is, the value of x=4.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

We can modify the Pythagorean Theorem to fit our needs and solve x. We know our c and our a so to find x or b

we use c^2-a^2=b^2.

from the given figure , we get,

Lets input our known.

5^2-3^2=x^2.

Lets start solving by squaring.

25-9=x^2

Subtract

16=x^2

Take the square root

4=x

Hence, The solution is, the value of x=4.

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The matching expressions are:

\(i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)\)

i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.

ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.

iii) \(6 \times 1/2 a^2\) can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.

To understand the matching expressions, let's break down each one:

i) 3a x 4:

This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).

ii) a^2 x a:

This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).

iii) 6 × 1/2 a^2:

This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).

Therefore, the matching expressions are:

i) 3a x 4 = C (12a)

ii) a^2 x a = A (a^3)

iii) 6 × 1/2 a^2 = D (3a^2)

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Answer:

It is given that Tawanna is asked to find the GCF of each term in the expression 2ab+8b.

Firstly she should find the factors of each term in the expression as :

2ab=1,2,a and b

8b=1,2,4,8 and b

Now, GCF is the greatest common factor, since the GCF of the above terms is 1,2 and b, thus she should use each common factor once.

She wrote the common factors twice which is the error in her solution, thus she should use each common factor once.

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

The measure of angle c is 60 degrees because it is scalen triangle and scalen triangle do not have equal measure of the angle

Answer:

\(m = 1.5\%\)

Step-by-step explanation:

Given

The attached table

Required

Determine his percentage commission

To do this, we need to calculate the slope (m) of the table as follows:

\(m = \frac{P_2 - P_1}{x_2 - x_1}\)

Where

\((x_1,P_1) = (7000,165)\)

\((x_2,P_2) = (7500,172.5)\)

\(m = \frac{P_2 - P_1}{x_2 - x_1}\) becomes

\(m = \frac{172.5 - 165}{7500- 7000}\)

\(m = \frac{7.5}{500}\)

\(m = 0.015\)

Convert to percentage

\(m = 0.015 * 100\%\)

\(m = 1.5\%\)

Hence, his percentage commission is 1.5%

Answer:

it would be around 3 i think

Step-by-step explanation:

Answer:

5, 6

Step-by-step explanation:

Answer:

Los números son:

6 y 5

Step-by-step explanation:

Planteamiento:

a * b = 30

a + b = 11

Desarrollo:

De la segunda ecuación del planteamiento:

a = 11-b    

Sustituyendo esta última ecuación en la primer ecuación del planteamiento:

(11-b)*b = 30

11*b + b*-b = 30

11b - b² - 30 = 0

-b² + 11b - 30 = 0

b = {-11±√((11²)-(4*-1*-30))} / (2*-1)

b = {-11±√(121-120)} /-2

b = {-11±√1} / -2

b = {-11±1} / -2

b₁ = {-11-1} / -2 = -12/-2 = 6

b₂ = {-11+1} / -2 = -10/-2 = 5

Comprobación:

6*5 = 30

6+5 = 11

Answer:

X=10%

Y=30%

Step-by-step explanation:

The required percentages X and Y of copper and zinc in alloy A are given as 10% and 13.34%.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Percentage of copper in A = 1/2 [percentage of copper in ingot]
                                         = 1/2 × 20% = 10%

Percentage of zinc in A = 1/3 [percentage of zincin ingot]
                                    = 1/3 × 40% = 13.34%

Thus, the required percentages X and Y of copper and zinc in alloy A are given as 10% and 13.34%.

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The question seems to be incomplete,
Complete question.
Three specimens of Alloys A, B, and C containing copper and zinc are melted together to create an ingot containing 20% copper and 40% zinc. What are the percentages X and Y of copper and zinc in alloy A when copper is half of the copper in the ingot and zinc is 1/3 of the zinc in the ingot?

Answer:

x = -23

Step-by-step explanation:

x + 8 = -15  Subtract 8 from both sides of the equation

x = -23

The velocities of the boat and the person relative to the shore are 1.337 m/s and 2.896 m/s, respectively.

We can use the conservation of momentum equation:

(mboat + mperson) * vboat = mperson * vperson

(160 kg + 70 kg) * vboat = 70 kg * (0.80 m/s + vperson)

230 kg * vboat = 56 kg * (0.80 m/s + vperson)

vboat = (56/230) * (0.80 m/s + vperson)

vperson = 0.80 m/s + vboat

vperson = 0.80 m/s + (56/230) * (0.80 m/s + vperson)

(174/115) * vperson = (504/115) * m/s

Dividing both sides by (174/115), we get:

vperson = 2.896 m/s

vboat = (56/230) * (0.80 m/s + vperson)

Substituting the value of vperson, we get:

vboat = 1.337 m/s

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On a 160-kg boat that is at rest with its bow pointed to the shore, a 70-kg person begins to walk from the bow to the stern at 0.80 m/s relative to the boat. What are the velocities of the boat and the person relative to the shore? Neglect the resistance of water to motion.

(a) The closed form for ∑2 is 2.

(b) The closed form expression for ∑3 is 24.

(c) The closed form for the sum ∑n = 0(― 1)² ― 1 is n(1 - n) / 2.

(d) The value of -3 matches the manual computation of the four terms.

Our closed form solution is correct.

To find the closed form for ∑2, we can use the formula for the sum of the first n terms of an arithmetic series:

∑2 = n(a + l) / 2

In this case, a = 2 (the first term) and l = 2 (the last term) since we are summing a series of 2's.

We also know that there is only one term, so n = 1.

Substituting these values into the formula, we have:

∑2 = 1(2 + 2) / 2

= 4 / 2

= 2

The formula for the sum of the first n terms of an arithmetic series is:

∑n = n(a + l) / 2

In this case, we have a = 3 (the first term), l = 13 (the last term), and n = 3 (the number of terms).

Substituting these values into the formula, we get:

∑3 = 3(3 + 13) / 2

= 3(16) / 2

= 48 / 2

= 24

The formula we developed in class is:

∑n = n(a + a + (n - 1)d) / 2

In this case, we have a = 0 (the first term) and d = -1 (the common difference).

Substituting these values into the formula, we get:

∑n = n(0 + 0 + (n - 1)(-1)) / 2

= n(0 - n + 1) / 2

= n(1 - n) / 2

To test the closed form solution for ∑3 = 0(― 1)² ― 1, we substitute n = 3 into the closed form expression we derived in part (c):

∑3 = 3(1 - 3) / 2

= 3(-2) / 2

= -6 / 2

= -3

Now, let's manually compute the sum of the first four terms of ∑3 = 0(― 1)² ― 1:

0(― 1)² ― 1 + 1(― 1)² ― 1 + 2(― 1)² ― 1 + 3(― 1)² ― 1

= 0 - 1 - 2 - 3

= -6

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Step-by-step explanation:

Difference between measured vs actual

= 7ft - 6.33ft = 0.67ft.

Percent of error = (0.67ft/7ft) * 100% = 9.57%. (B)

Answer:

9.57%

Step-by-step explanation:

As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

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Answer:

~

Step-by-step explanation:

To make it easier to graph using a translation, we can rewrite the given equation as:

y - 5 = √√4x + 16

This is obtained by subtracting 5 from both sides of the equation.

The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.

To find the product of a reasonable estimate of two decimal numbers, round each decimals to the nearest whole number and then perform the multiplication.

For example:

3.2 x 5.7

Estimated answer

3.2 will be rounded down to 3 and 5.7 will be rounded up to 6

⇒ 3 x 6 = 18

Actual Answer

3.2 x 5.7

=18.24

There is a probability of 98.1% or around 0.98 of making at least one shot.

We can solve this problem using the binomial distribution. Let X be the number of shots the basketball player makes out of 6 attempts. Then X follows a binomial distribution with parameters n = 6 (number of trials) and p = 0.553 (probability of success).

The probability of making at least one shot can be calculated as the complement of the probability of missing all six shots. That is:

P(X ≥ 1) = 1 - P(X = 0)

Using the binomial probability formula, we can calculate P(X = 0) as:

P(X = 0) = (6 choose 0) * (0.553)^0 * (1 - 0.553)^(6-0) = 0.019

where (6 choose 0) = 1 is the number of ways to choose 0 shots out of 6.

Therefore,

P(X ≥ 1) = 1 - P(X = 0) = 1 - 0.019 = 0.981

So the probability of making at least one shot is approximately 0.981 or 98.1%.

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Answer:

82

Step-by-step explanation:

\(4^3 + \frac{96}{8} \cdot 5 - 42 = 64 + 12\cdot 5 - 42 = 64 + 60 - 42 = 82\)

Answer:

82

Step-by-step explanation:

PEMDAS

\(4^{3}\) + [(96 ÷ 8) x 5] - 42

\(4^{3}\) + [(12) x 5] - 42

4^3 + (60) - 42

64 + 60 - 42

124 - 42

82

hope this helps :)

Answer:

The 90% confidence interval for the difference between means is (-161.18, 205.18).

Step-by-step explanation:

Sample mean and standard deviation for Region I:

\(M=\dfrac{1}{12}\sum_{i=1}^{12}(438+1013+1127+737+...+1075+500+340)\\\\\\ M=\dfrac{8424}{12}=702\)

\(s=\sqrt{\dfrac{1}{(n-1)}\sum_{i=1}^{12}(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{11}\cdot [(438-(702))^2+(1013-(702))^2+...+(500-(702))^2+(340-(702))^2]}\\\\\\\)

\(s=\sqrt{\dfrac{1}{11}\cdot [(69696)+(96721)+...+(131044)]}\\\\\\s=\sqrt{\dfrac{1174834}{11}}=\sqrt{106803.1}\\\\\\s=326.8\)

Sample mean and standard deviation for Region II:

\(M=\dfrac{1}{15}\sum_{i=1}^{15}(778+464+563+...+479+710+389+826)\\\\\\ M=\dfrac{10204}{15}=680\)

\(s=\sqrt{\dfrac{1}{(n-1)}\sum_{i=1}^{15}(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{14}\cdot [(778-(680))^2+(464-(680))^2+...+(389-(680))^2+(826-(680))^2]}\\\\\\\)

\(s=\sqrt{\dfrac{1}{14}\cdot [(9551.804)+(46771.271)+...+(84836.27)+(21238.2)]}\\\\\\ s=\sqrt{\dfrac{545975.7}{14}}=\sqrt{38998}\\\\\\s=197.5\)

Now, we have to calculate a 90% confidence level for the difference of means.

The degrees of freedom are:

\(df=n1+n2-2=12+15-2=25\)

The critical value for 25 degrees of freedom and a confidence level of 90% is t=1.708

The difference between sample means is Md=22.

\(M_d=M_1-M_2=702-680=22\)

The estimated standard error of the difference between means is computed using the formula:

\(s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{326.8^2}{12}+\dfrac{197.5^2}{15}}\\\\\\s_{M_d}=\sqrt{8899.853+2600.417}=\sqrt{11500.27}=107.24\)

The margin of error (MOE) can be calculated as:

\(MOE=t\cdot s_{M_d}=1.708 \cdot 107.24=183.18\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=M_d-t \cdot s_{M_d} = 22-183.18=-161.18\\\\UL=M_d+t \cdot s_{M_d} = 22+183.18=205.18\)

The 90% confidence interval for the difference between means is (-161.18, 205.18).

The lateral area of the pyramid is 512√3 in.

Area is the region bounded by plane shape.

To calculate the area of the pyramid, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these value into equation 1

Hence, the right option is D. 512√3 in.

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Answer:

Value of blank = 1 / (-5x)

Step-by-step explanation:

Given:

__ × (-5x) = 1

Find:

Value of blank

Computation:

Assume;

Blank = y

So,

y × (-5x) = 1

y = 1 / (-5x)

Value of blank = 1 / (-5x)

Answer:

please mark as brainliest