Which angle is complementary to CDA?

The volume of the original box is given as

V = lwh

V = 10(6)(3)

V = 180 in³

Answer:

x= 2.5 and -3.5

Step-by-step explanation:

To solve the equation Ix+1/2I=3, we can break it down into two cases: one where x+1/2 is positive, and one where x+1/2 is negative.

Case 1: x+1/2 is positive

In this case, the absolute value of x+1/2 is equal to x+1/2 itself. So we can rewrite the equation as x+1/2=3. To solve for x, we subtract 1/2 from both sides: x=3-1/2. Simplifying further, we have x=2.5.

Case 2: x+1/2 is negative

In this case, the absolute value of x+1/2 is equal to -(x+1/2). So we can rewrite the equation as -(x+1/2)=3. To solve for x, we first distribute the negative sign: -x-1/2=3. Then, we add 1/2 to both sides: -x=3+1/2. Simplifying further, we have -x=3.5. To isolate x, we multiply both sides by -1: x=-3.5.

So, the solution to the equation Ix+1/2I=3 is x=2.5 and x=-3.5.

Answer:

Step-by-step explanation:

To divide rational numbers, remember the rules of dividing positive and negative numbers: If the dividend and divisor have the same sign, the quotient is positive

Answer:

The answer is 4/6, or 2/3 if simplified.

1: Not a multiple of 2 or 3

2: A multiple of 2

3: A multiple of 3

4:A multiple of 2

5: Not a multiple of 2 or 3

6:A multiple of 2 and 3

Answer:

One pattern that can be observed in the repeated table is that each number is obtained by adding 0.09 to the previous number.

Step-by-step explanation:

For example, to get from 0.09 to 0.18, we add 0.09. To get from 0.18 to 0.27, we add 0.09 again, and so on. This pattern continues throughout the table, with each number being 0.09 greater than the previous number.

Part A - In the given table we can observe that there is a continuous table of 0.09 till 0.63.

Part B - The table is in the ‘Step by step explanation’

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√50 = 7.071

So the dot will be very close to the right side of 7.

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Answer: A is incorrect

Step-by-step explanation:A. 0 < -4, the value 0 is greater than negative 4. So, this is incorrect.

B. -9 < 1, the value 1 is greater than negative 9. So, this is correct.

C. 2 > -3, the value 2 is greater than negative 3. So, this is correct.

D. -7 < -5, the value negative 5 is greater than negative 7. So, this is correct.

a^(-x) = 1/(pi^(1/x)) in fractional form.

1/a^x = 1/pi

Next, we can rewrite a^(-x) as 1/a^x and substitute the expression for 1/a^x from the above equation:

a^(-x) = 1/a^x = 1/(pi^(1/x))

The value of [tex]a^{-x}[/tex] when [tex]a^x = \pi \ is\ 1/\pi[/tex]. To find the value of [tex]a^{-x}[/tex] when [tex]a^x = \pi[/tex], we can use the properties of exponents.

First, recall that a^(-x) is the reciprocal of [tex]a^x[/tex]. In other words, [tex]a^{-x} = 1 / a^x[/tex].

Given that [tex]a^x = \pi[/tex], we have:

[tex]a^{-x} = 1 / a^x\\a^{-x} = 1 / \pi[/tex]

So, The value of [tex]a^{-x}[/tex] when [tex]a^x = \pi \ is\ 1/\pi[/tex].

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4.9 × 10^( -5 ) + 0.0005 =4.9x10^(-5)+5x10^(-4)=

=5.49x10^(-5)=5.49e-5=5.49E(-5)

Which in scientific notation is written as 5.49e-5, where e-5 is the same as 10^(-5).

This answer can also be written as 5.49E(-5) in scientific notation.

Answer: i think its b

Step-by-step explanation:

The statement that is best supported by the information shown on the dot plots is A. The data of the two populations have different ranges.

The range of the data as shown in the dot plots of the weight of squirrels in the two populations can be found by the formula :

= Largest weight - Smallest weight

Range of population 1;

= 18 - 12

= 6 ounces

Range of population 2:

= 19 - 11

= 8 ounces

The range of the two populations is therefore different.

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Answer:

Step-by-step explanation:

a. The outlier in the data set is Crater lake with a depth of 1,148 feet.

b. The outlier has a significant effect on the mean and range of the data but no effect on the median and mode.

c. The median and mode are measures of center that are less influenced by outliers, so they best describe the data with or without the outlier.

An outlier is a single data point that deviates significantly from the average value of a set of statistics. Outliers are exceptions that exist outside of individual population samples.

The mean is heavily influenced by outliers, so the outlier in this case increases the mean depth of the lakes. The range is the difference between the highest and lowest values, so the outlier also increases the range.

Without the outlier, the median depth is 33.5 feet, which is closer to the majority of the depths in the data set. Therefore, the median is the best measure of center for this data set without the outlier. With the outlier included, the median depth is still 43 feet, and the mode is also 43 feet, so either measure could be used to describe the center of the data set.

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Step-by-step explanation:

the product of Janelle's score and 3 is 39, using the variable J to represent Janelle's score.

which can be expressed mathematically as

[tex]j \times 3 = 39[/tex]

cause product is the same as multiplication ✖️

[tex]3j = 39[/tex]

finally, divide both sides by 3

[tex] \frac{3j}{3} = \frac{39}{3} [/tex]

therefore

[tex]j = 13[/tex]

Answer:

13

Step-by-step explanation:

j x 3= 39

so then you use the fraction thingy

[tex]\frac{3j}{3}= \frac{39}{3}[/tex]

so then its 39 divided by 3 gets 13

so its 13

Answer: About 12.843 or 12[tex]\frac{59}{70}[/tex]

Step-by-step explanation:

    We will follow the Order of Operations to solve this question.

   Given:

[tex]\displaystyle (\frac{-3}{5})(-\frac{4}{7} )+12.5[/tex]

   Multiply:

[tex]\displaystyle (\frac{-3*-4}{5*7})+12.5[/tex]

[tex]\displaystyle (\frac{12}{35})+12.5[/tex]

   Add:

12 [tex]\frac{59}{70}[/tex]≈ 12.843

Answer:

12.8428571429

Answer: Angle D

Step-by-step explanation:

Answer:

There are 2 terms.

Step-by-step explanation:

1st term: m

2nd term: 2n

Answer:-13 is to the left of -10. -10 is to the right of -13.

-13<-10

Step-by-step explanation:

-10 is to the left of -13 bc it is closer to the number 0 than -13. -10 is greater than -13.

Answer:

2in cubed

Step-by-step explanation:

since one side is 1/3 inches and they're 6 sides in a cube

We can do 1/3 x 6 which gives us 2 inches cubed

Answer:

Triangles: 4(1/2)(5)(12) = 120 square feet

Square: 5 × 5 = 25 square feet

Total surface area = 120 + 25 = 145 square feet

Answer: D. 56 units

Step-by-step explanation:

   To find the perimeter, we will count the units all around the outline of the outside of the figure. See attached.

➜ Note that the scale of this coordinate plane is by 2's, not 1's.

Answer:

First option

Step-by-step explanation:

This is because if 6 is added to 8 then it becomes 14 and the other side is also 14 Thus, the object will be stationary.

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Answer:

Step-by-step explanation:

For Keiko's trend line equation, we have t = 0.95a + 59. Plugging in a = 16, we get t = 0.95(16) + 59 = 74.2. Rounding to the nearest whole number, we get t ≈ 74.

For Eric's trend line equation, we have t = 0.55a + 90. Plugging in a = 16, we get t = 0.55(16) + 90 = 98.8. Rounding to the nearest whole number, we get t ≈ 99.

Therefore, a 16 year old would send approximately 74 texts per day based on Keiko's trend line equation and approximately 99 texts per day based on Eric's trend line equation. So, the answer is Keiko = 74, Eric = 99.

The solution is, a 16 year old would send approximately 74 texts per day based on Keiko's trend line equation and approximately 99 texts per day based on Eric's trend line equation.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

For Keiko's trend line equation,

we have t = 0.95a + 59.

Plugging in a = 16,

we get t = 0.95(16) + 59 = 74.2.

Rounding to the nearest whole number, we get t ≈ 74.

and, we have,

For Eric's trend line equation,

we have t = 0.55a + 90.

Plugging in a = 16,

we get t = 0.55(16) + 90 = 98.8.

Rounding to the nearest whole number, we get t ≈ 99.

Therefore, a 16 year old would send approximately 74 texts per day based on Keiko's trend line equation and approximately 99 texts per day based on Eric's trend line equation.

So, the answer is Keiko = 74, Eric = 99.

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Answer:

X= 4,469

Y=4,474

Z=4,478

Step-by-step explanation:

X = 4469

Y = 4474

Z = 4478

X = 4470 - 1 = 4469   OR   4480 - 11 = 4469

Because, X is 1 space behind 4470 and 11 spaces behind 4480.

Y = 4470 + 4 = 4474   OR   4480 - 6 = 4474

Because, Y is 4 spaces ahead of 4470 and 6 spaces behind 4480.

Z = 4470 + 8 = 4478   OR   4480 - 2 = 4478

Because, Z is 8 spaces ahead of 4470 and 2 spaces behind 4480.

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Answer:

3821.05

Step-by-step explanation:

To find the volume of a sphere, use the formula [tex]4/3\pi r^3[/tex].

Replace R with 9.7 because the diameter is 19.4 and the radius would be half of that, and the question said to use 3.14 as pi.

So it would be: [tex]4/3*3.14*9.7^3[/tex]

Which would equal: 3821.05

Answer: The answer is A. 10 ft, 24 ft, 25 ft

Step-by-step explanation: I used a ruler and did everything in cm and the only one that worked was A.

Answer:

A. 10 ft, 24 ft, 25 ft

Step-by-step explanation: