Find the measure of arc JML. Enter only your numerical value.

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:25°

Step-by-step explanation:

tanθ= 35/72

Answer:

\(a_{16} = 121\).

Step-by-step explanation:

To go from the first term \(a_{1}\) of this sequence to the second term \(a_{2}\), add \(d\) to \(a_{1}\!\).

To go from the first term \(a_{1}\) of this sequence to the third term \(a_{3}\), add \(2\, d\) to \(a_{1}\!\).

In general, going from the first term \(a_{1}\) of an arithmetic sequence to the \(k\)th term, add \((k - 1)\, d\) to \(a_{1}\!\).

Thus, given an arithmetic sequence with \(a_{1}\) as the first term and \(d\) as the common difference, the \(k\)th term of this sequence would be \(a_{k} = a_{1} + (k - 1)\, d\).

In this question, \(a_{1} = 1\) and \(d = 8\) for this arithmetic sequence. The \(16\)th term of this sequence would be:

\(\begin{aligned}a_{16} &= 1 + (16 - 1) \times 8 \\ &= 1 + 15 \times 8 \\ &= 121\end{aligned}\).

Answer:

Option D

Hope this helps!

To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:

Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190

Number of favorable outcomes:

Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:

Favorable outcomes = C(2, 2) = 1

Probability = Favorable outcomes / Total outcomes = 1/190

Therefore, the correct answer is (G) 1/190.

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Answer:

1st equation: 3(12) - 12 = 24

2nd equation: 36 - 12 = 24

Answer:

3(12) - 12 = 24

Step-by-step explanation:

Answer: F

Step-by-step explanation:

(i) The interval is meant to have infinitesimal width because the limit is approaching 0.

(ii) This gives the derivative at \((x, f(x))\), which is the same as the slope of the tangent line.

(iii) False, this deals with the tangent line, not the secant.

(iv) True by definition.

According to the model, the recommended amount of sleep for a 25-year-old person is equal to 6.75 hours of sleep.

In Mathematics and Statistics, a line of best fit is also referred to as a trend line and it can be defined as a statistical or analytical tool that is typically used by researchers and mathematicians in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.

Based on the scatter plot, we can logically deduce that a linear equation which represents the line of best fit include the following:

y = -0.25x + 13

For a 25 years old person, the recommended hours of sleep can be calculated as follows;

y = -0.25x + 13

y = -0.25(25) + 13

y = -6.25 + 13

y = 6.75 hours of sleep.

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AB + BC = AC

Replacing with the values:

3x + (5x + 10) = 74

(3x + 5x) + 10 = 74

8x + 10 = 74

10 is adding on the left, then it will subtract on the right

8x = 74 - 10

8x = 64

8 is multiplying on the left, then it will divide on the right

x = 64/8

x = 8

The total cost of the pita bread and hummus dips will be $305.00.

To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:

Cost of pita bread:

Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates

Cost of each crate = $15.00

Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00

Cost of hummus dips:

Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes

Cost of each box = $20.00

Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00

Therefore, the expressions Toula can use to determine the costs are:

Cost of pita bread = 3 crates × $15.00/crate

Cost of hummus dips = 13 boxes × $20.00/box

The total cost will be the sum of the costs of pita bread and hummus dips:

Total cost = Cost of pita bread + Cost of hummus dips

Total cost = $45.00 + $260.00

Total cost = $305.00

Therefore, the total cost of the pita bread and hummus dips will be $305.00.

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Answer:

B

Step-by-step explanation:

Answer:

5/7

Step-by-step explanation:

ratio of boys to girls---> 2:5

ratio sum: 2+5=7

girls ratio =5/7

OR

total of people in 7th grade choir=28

hence, no of girls in 7th grade choir=5/7 × 28

=20

proportion of girls in choir= 20/28 = 5/7

The true inequality from the list of options is (c) -x - 6 > -3.5

To determine which inequality is true when x is -5, we need to substitute -5 for x in each inequality and simplify.

a) -x – 6 < -3.5

Substituting x = -5, we get:

-(-5) - 6 < -3.5

5 - 6 < -3.5

-1 < -3.5

This is false, so option a) is not true.

b) -x – 6 > 3.5

Substituting x = -5, we get:

-(-5) - 6 > 3.5

5 - 6 > 3.5

-1 > 3.5

This is false, so option b) is not true.

c) -x - 6 > -3.5

Substituting x = -5, we get:

-(-5) - 6 > -3.5

5 - 6 > -3.5

-1 > -3.5

This is true, so option c) is true.

Hence, the correct option is (c) -x - 6 > -3.5

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Complete question

Which inequality is true when the value of x is -5?

a) -x – 6 < -3.5

b) -x – 6 > 3.5

c) -x - 6 > -3.5

d) x - 6 > -3.5

Answer:

Step-by-step explanation:

Answer:

41/60

could i have brainliest pls

Step-by-step explanation:

Answer:

41/60

Step-by-step explanation:

7/30  +9/20 = 14/60 + 27/60

14 + 27 = 41

41/60

Its better to buy second set of candy. That is, candy which is $7.14 for 7 bars.

Given,

The cost for first candy = $4.12 for 4 bars.

The cost for second candy = $7.14 for 7 bars.

We have to determine which candy is better to buy.

For that we have to find the cost of one candy.

That is,

The cost for one candy in first candy set = 4.12/4 = 1.03

The cost for one candy in second candy set = 7.14/7 = 1.02

Here,

1.02 is less than 1.03.

That is, second set of candy has lesser cost than first set.

So, its better to buy second set of candy. That is, candy which is $7.14 for 7 bars.

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Answer:

Step-by-step explanation:

The  converse of ~q  =>  ~p  is  ~p  =>  ~q.

Using the sine ratio with the angle of depression, the length of the wire is 122.63m

The angle of depression is formed when the observer is higher than the object he/she is looking at. When an observer looks at an object that is situated at a distance lower than the observer, an angle is formed below the horizontal line drawn with the level of the eye of the observer and line joining object with the observer’s eye. Whereas the angle of elevation is the angle formed if a person stands on the ground and looks on the object kept above the ground at a height above the height of the person. This is the basic difference between the two angles. Both the angles are calculated by using the concept of trigonometry.

Using trigonometric ratio;

Using the sine angle ratio;

sin θ = opposite / hypothenuse

sin 58 = 104 / AC

AC = 104 / sin 58

AC = 122.63m

The length of the wire is 122.63m

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Answer:

Answer: Option A.

Step-by-step explanation:

Hey there!

Given; The Line BC contains points B (4, -5) and C (3, 2).

And the Line DE contains points D (2,0) and E (9, 1)

Note: Use double point formula for finding the equation and then find slopes of both then put the condition for perpendicular lines and parallel lines.

From line BC;

The points are B (4, -5) and C (3, 2).

Using double point formula;

\((y - y1) = \frac{y2 - y1}{x2 - x1}(x - x1) \)

Keep all the value;

\((y + 5) = \frac{2 + 5}{3 - 4} (x - 4)\)

Simplify it;

\(y + 5 = - 7x + 28\)

Therefore, the equation is y = -7x+23........(I)And slope(m1) is -7 {comparing the equation (I) with y=Mx+c}

Again;

The points D (2,0) and E (9, 1)

Using double point formula;

\((y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)\)

Keep all values;

\((y - 0) = \frac{9 - 2}{1 - 2} (x - 2)\)

\(y = - 7x + 14\)

Therefore, the equation is y = -7x+14......(ii)And the slope (m2) is -7. {comparing the equation (ii) with y= mx+c}

Check:

For parallel lines:

m1= m2

-7 = -7 (true)

Therefore, the lines are parallel.

Hope it helps!

Answer:

81 or 20 1/4

Step-by-step explanation:

im not sure sorry

Answer:

\( \frac{1681}{4} \)

or

\(105 \frac{1}{4} \)

Step-by-step explanation:

\(10 \frac{ + 1}{ \times 4} \)

10×4=40+1=41, that will be your numerator (number at the top of the fraction) and the denominator 4 will stay the same. (bottom number)

\( \frac{41}{4} \)

the base and the height will remain the same.

Formula : base × height = Area

\( \frac{41}{4} \times \frac{41}{4} = \frac{1681}{16} \)

16 goes into 1681 105 times remainder 1.

so as a mixed number it will be

\( 105 \frac{1}{4} \)

Answer:

C (-∞, -4] [7,∞)

Answer:

B

Step-by-step explanation:

The Mean(Average) of 78+72+66+80+84 is 76 because (78+72+66+80+84)/5* and (78+72+66+80+84+100)/6* is 80.

*You get this number by counting the number of numbers you entered (78+72+66+80+84) there are 5 numbers.

The value of the z-score for the number 15  in a data set is 0.93.

Define z-score.

A data point's z-score, also known as a standard score, indicates how far it deviates from the mean. In practical terms, however, it's a measurement of how many standard deviations a raw number is from or above the population mean.

You can plot a z-score on a normal distribution graph. Z-scores can be anywhere between -3 and +3 standard deviations.

                     ∴  z = (x – μ) / σ

Given:

σ = 4.32

x = 15

Data set: 5, 7, 9, 11, 13, 15, 17

So, mean = 5 + 7 + 9 + 11 + 13 + 15 + 17/7

                = 77/7

            μ = 11

z = (x – μ) / σ

  = (15 - 11)/4.32

   = 4/4.32

z  = 0.93

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Answer:

4

Step-by-step explanation:

count up from -5 to -1

so -5,-4,-3,-2,-1 and there are four numbers excluding-5

Answer: 30%

Step-by-step explanation: 21/70 = 21 divide 70 = 0.3 = 30%

Step-by-step explanation:

So we are given that the number we are looking for is \(c\). The problem says, "five more than a number". So, \(c+5\). 'Is' typically means equals.

\(c+5=-9\)

Then we can solve for \(c\).

\(c+5=-9\\c=-14\)

Hope this helps!

Answer:

Step-by-step explanation:

Given is the quadratic function:

This gets maximum value at vertex, which is achieved at:

In our case:

Maximum height is at vertex:

Time the ball hits the ground, h(t) = 0:

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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