acute isosceles
obtuse isosceles
acute scalene
equiangular equilateral

The domain of the problem is given as

Answer:

D

Step-by-step explanation:

Took test

Answer:

d

Step-by-step explanation:

plz give branlist

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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The perimeter and the area of the rectangle is as follows:

perimeter=182 cm

area=2028cm².

A rectangle is a closed, four-sided figure in two dimensions. The opposite sides of a rectangle are equal and parallel to one another, and all of its angles are 90 degrees.

The area of a rectangle is equal to the product of the rectangle's length and breadth, or "l" and "w," and is written as follows:

Rectangular Area = (l x w)

The formula for the perimeter, 'P' of a rectangle whose length and width are 'l' and 'w' respectively is 2(l + w).

Formula for the Perimeter of a Rectangle: 2 (Length + Width)

Now in the question given,

Length of the rectangle = 8cm.

Width of the rectangle = 6cm.

So, original perimeter=2 × (8+6) +28 cm and

original area=8 × 6= 48 cm²

Now the scale factor = 6.5

New length = 8 × 6.5 = 52cm

width = 6 × 6.5 = 39cm.

New perimeter = 2(52+39) =182 cm.

New area = 52 × 39 = 2028cm².

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The complete question is:

What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5?

Answer:

1 (first circle), 4 (second circle)

Step-by-step explanation:

In the first circle if you multiply the central number, 5, with any number in the top-half of the circle, you get the number opposite it in the bottom half of the circle. For example, if you multiply 5 with 3, you get 15, which is directly opposite to 3 in the circle.

In the second circle, if you multiply the central number, 3, with any number in the bottom-half of the circle, you get the number opposite it in the top-half of the circle. For example, if you multiply 3 with 5, you get 15, which is directly opposite 5 in the circle.

Let me know if you don't understand.

Hope this helps!

Answer:

B. Food market

Step-by-step explanation:

You typically buy all of your groceries at Grocery Mart. This week, your favorite cereal is on sale there, 4 boxes for $10. At Food Market, where you don’t typically shop, the same cereal is on sale for $2.25 a box. Based on price, which is the better value option?

A.Grocery Mart

B. Food Market

Grocery market:

4 boxes for $10

Unit price = cost / quantity

= $10 / 4 boxes

= $2.50 per box

Food market:

Price per box = $2.25

The better value option based on price is food market because it cost less to buy a box of cereal than grocery mart

The fallacy in the given statement "oak trees are shady, shady things are not to be trusted, therefore oak trees are not to be trusted" is equivocation. So, second option is accurate.

Equivocation is a type of fallacy in logic and rhetoric where a word or phrase is used with multiple meanings or ambiguous terms, leading to misleading or false conclusions. It occurs when a word or phrase is used in different senses within the same argument or context, resulting in confusion or deception.

Equivocation often involves exploiting the ambiguity of words or phrases to create a deceptive or misleading impression. It can occur in various forms, including:

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The amount more in income tax that Cho pays than Helen each month would be £56.

First, find Helen's yearly salary :

= 1, 720 x  12

= £ 20, 640

Both Cho's and Helen's annual salaries fall within the Basic rate tax bracket.

Cho 's monthly tax would be:

= (( 24, 000 - 12, 570 ) x 20 % ) / 12

= £ 190. 50

Helen's monthly tax :

= (( 20, 640 - 12, 570 ) x 20 % ) / 12

= £ 134.50

The difference is therefore :

= 190. 50 - 134.50

= £56

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Using function concepts, it is found that the degree of the function is: 4, option C.

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Answer: 8x + 5= 61

Step-by-step explanation: x represents the cost of one ticket for the show, 8 is the amount of tickets, 5 is the extra fee, 61 is the total.

Answer:  1. 6

2. 2

3. -22

4. 3

5. 45

6. 5,610

Step-by-step explanation: #1: ok so for #1 we have to make this a subtraction problem by making the 9 as the first number and the 3 as the second but putting a minus symbol between them so we have to subtract 9 by 3 so 9-3=6 so 3+6=9 or X=6.

#2: ok so for #2 we have another inverse expression so instead of multiplication so we have to use division and make 32 the first number and 16 the second number and put a division symbol  in between them so we have to divide 32 by 16 so 32 divided by 16=2 so 16(2)=32 also, the x next to 16 means multiplication so we have to put parentheses so we know its multiplication.

#3: this one is VERY confusing but what we have to do is add the 2 to 54 so 2+54=56 next we have to rearrange the numbers and had a negative symbol before the x and make 56 go to the second number and make the minus symbol a plus symbol so we made the expression -x+56=78 now we have to subtract 56 from both sides and so the expression is now -x+56-56=78-56 and now we subtract the numbers so now the expression is -x=78-56 and do it again so 78-56=22 so -x=22 and now we have to divide both sides of the expression so we have to make -x=22 -x/-1=22/-1 now we have to remove the symbols of the right side so the expression is now x=22/-1 and divide 22 by -1 so 22 divided by -1 is -22 so X=-22 or 54-(-22)+2=78.

#4: now for #4 we have to divide 9 by 3 so 9 divided by 3=3 or we can use multiplication by making 9 the answer and 3 the first number and solve so 3x(X)=9 so 3x3=9 so the answer is 9.

#5: now we have to divide 225 by 5 so we have to divide 22 by 5 and put our 4 on top op the 2 in the 10's column and multiply 4 by 5 which is 20 the subtract 22 by 20 so 22-20=2 and bring down the 5 making 25 and multiply 5 by 5 so 5x5=25 so now we have to subtract 25 by 25 which is 0 so the answer is 45.

#6: for this we have to multiply 55 by 102 so 55 times 102 is 5,610

Answer:

30 mm, 2.5cm,20cm and 1m

The computation shows that the examples of values that will give the exact value of 45 will be:

It should be noted the information is incomplete as the options aren't given and not properly written.

In this case, the examples will be given:

An example of value that will give 45 will be:

= ✓25 × ✓81

= 5 × 9

= 45

The other examples will be 6 × 9 which will give 45 and ✓9 × 15 which will be 45.

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The​ distance, d, between the points

in the rectangular coordinate system is,

Answer:

\(V=47239.2\pi \)

Step-by-step explanation:

We are given that

\(y=\sqrt{x}\)

y=0

\(x=81\)

When y=0 then x=0

Using shell method

Volume of solid

\(V=2\pi \int_{a}^{b}xf(x)dx\)

Using the formula

Volume of solid

\(V=2\pi \int_{0}^{81} x(\sqrt{x})dx\)

\(V=2\pi \int_{0}^{81}x^{\frac{3}{2}}dx\)

\(V=2\pi [\frac{2}{5}x^{\frac{5}{2}}]^{81}_{0}\)

\(V=2\pi\times \frac{2}{5}((81)^{\frac{5}{2}})\)

\(V=47239.2\pi \)

Answer: measuring cups??

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The volume of the solid as shown in the diagram is 756 ft³.

Volume is the space occupied by a solid.

To caculate the volume of the solid, we use the formula below

Note: The solid is made up of a prism and a pyramid.

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

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Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer:

sin(100°) = 0.985

sin(-100°) = -0.985

Step-by-step explanation:

In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).

Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:

\(\boxed{\sin(100^{\circ}) = 0.985}\)

Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:

\(\boxed{\sin(-100^{\circ}) = -0.985}\)

In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

The value of the sine of the angles is calculated by applying the following formula as follows;

The value of sin (100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.

sin (100) = 0.985

The value of sin (-100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.

sin (-100) = -0.985

Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

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a) In the geometric progression, the first term is 1 and the third term is 81.

b) the value of q is 7.

a) In a geometric progression, each term is found by multiplying the previous term by a constant ratio. Given the second and fourth terms as 9 and 81, we can find the common ratio by dividing the fourth term by the second term:

Common ratio = 81 / 9 = 9

To find the first term, we divide the second term by the common ratio:

First term = 9 / 9 = 1

To find the third term, we multiply the second term by the common ratio:

Third term = 9 \(\times\) 9 = 81

Therefore, the first term is 1 and the third term is 81.

b) In an arithmetic progression, each term is found by adding a constant difference to the previous term. Given the first two terms as q and 4q, we know that the common difference is 4q - q = 3q.

The sum of the first three terms in an arithmetic progression is given by the formula: sum = \(\(\frac{n}{2}(2a + (n-1)d)\)\), where a is the first term, d is the common difference, and n is the number of terms.

Using the given information, we have:

sum = \(\(\left(\frac{3}{2}\right)\left(2q + (3-1)(3q)\right) = \left(\frac{3}{2}\right)\left(2q + 6q\right) = \left(\frac{3}{2}\right)(8q) = 12q\)\)

Since the sum is given as 84, we can solve the equation:

12q = 84

q = 84 / 12

q = 7

Therefore, the value of q is 7.

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Answer:

  f(x) = (x +6)(x -5)  or  f(x) = x² +x -30

Step-by-step explanation:

You want a quadratic function whose zeros are -6 and +5.

If p is a zero of the polynomial f(x), then (x-p) is a factor. The two given zeros meant that the factors are ...

  f(x) = (x -(-6))·(x -5)

  f(x) = (x +6)(x -5) . . . . . . . . simplify a bit

This can be put in standard form by multiplying the factors:

  f(x) = x(x -5) +6(x -5) = x² -5x +6x -30

  f(x) = x² +x -30 . . . . . . . . simplified quadratic function

The quadratic function of the zeros is f(x) = \(x^2+x-30\).

What is quadratic function?

A polynomial function that has one or more variables and a variable having a maximum exponent of two is said to be quadratic. A polynomial of degree 2 is referred to as such because the greatest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. It is a mathematical function.

Here the zeros of the function is -6 and 5.

We know that if zeros of the function is a then the factor is (x-a).

Then,

=> f(x) = (x-(-6))(x-5)

=> f(x) = (x+6)(x-5)

=> f(x) = \(x^2+6x-5x-30\)

=> f(x) = \(x^2+x-30\)

Hence the quadradic function is f(x) = \(x^2+x-30\).

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Answer:

equation ?

Step-by-step explanation:

where is the equation

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 distance of the ship from the lighthouse can be determined using

trigonometric ratios.

Reasons:

The given parameters are;

The height of the beacon-light above the ground = 114 feet

The angle of elevation to the beacon measured by the boat crew = 5°

Required:

The horizontal distance of the ship from the lighthouse

Solution:

The beacon-light that is seen by the boat crew, the height of the beacon light, and the horizontal distance of the ship from the lighthouse form a right triangle.

Therefore, we have;

\(\displaystyle tan (\theta) = \mathbf{ \frac{Opposite}{Adjacent}}\)

\(\displaystyle tan(angle \ of \ elevation) = \mathbf{\frac{Height \ of \ beacon \ light}{The \ ship's \ horizontal \ distance \ from \ the \ lighthouse}}\)

Which gives;

\(\displaystyle The \ ship's \ horizontal \ distance \ from \ the \ lighthouse= \frac{Height \ of \ beacon \ light}{tan(angle \ of \ elevation)}\)

Therefore;

\(\displaystyle The \ ship's \ horizontal \ distance \ from \ the \ lighthouse= \frac{114 \ feet}{tan(5^{\circ})} \approx \mathbf{1,303.03 \ feet}\)

The ship's horizontal distance from the lighthouse = 1,303.03 feet.

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Answer:

The ship's horizontal distance from the lighthouse is approximately  1,303.03 feet.

Step-by-step explanation: