Find 3A + 2B.
A =
95
- 3 7
[:] [4]
B =
16
3 - 1

Answer: 136,000,000 ( hope it helped <3 )

Step-by-step explanation:

Answer:

D. 3.50

Step-by-step explanation:

3t+2d=$13.00

4t+d=$15.25

3t+2d=$13.00

8t+2d=$30.50

E2-E1

5t=$30.50-$13.00

t=3.5

The taco cost is option D. 3.50

Given that,

Based on the above information, the calculation is as follows:

3t+2d=$13.00 ......(1)

4t+d=$15.25 .......(2)

Here we have to multiply by 2 in equation 2

So,  

3t+2d=$13.00

8t+2d=$30.50

So,  

5t=$30.50-$13.00

t=3.5

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Answer:

K N O

Step-by-step explanation:

hope this helped you

Answer:

b u t is congruent to k o n

Step-by-step explanation:

because it was just turned

The state spelled out with letter tiles depends on the probability of picking the letter O, and the possible states are Ohio,  Colorado and  Oregon respectively.

To solve this problem, we need to consider the frequency of the letter O in each state's name.

If the probability of picking the letter O is 1/2, then the state must have two O's in its name. The only state that meets this criteria is OHIO.

If the probability of picking the letter O is 3/8, then the state must have three O's in its name. The only state that meets this criteria is COLORADO.

If the probability of picking the letter O is 1/3, then the state must have at least three O's in its name. The only state that meets this criteria is OREGON.

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Answer: 18 lilac bushes

Step-by-step explanation:

24/4=6

3x6=18

Answer:

x = -1

Step-by-step explanation:

3(x + 1) = -2(x - 1 ) - 4

use the distributive property to get rid of the parentheses. on -2 and -1 they cancel each other out so it becomes + 2. now you have:

3x + 3 = -2x + 2 - 4 (+2 and -4 are like terms so they become -2. so technically its 3x + 3 = -2x -2)

get +3 on the other side by subtracting it from itself and then subtracting it from -2 so it becomes -5.

3x = -2x - 5

get -2x on the other side by adding 2x to itself then adding 2x to 3x so it becomes 5x

5x = -5

divide 5 from -5 and you get x = -1

The nth term rule of linear sequence is aₙ = aₙ₋₁ + 3

Linear sequence is a sequence of number in order with same difference .or same ratio.

when fixed number is added to any term of a sequence to get next term . That Fixed number is known as common difference.

The sequence in the given question

-5 , -2 , 1 , 4 , 7, . . . .

The first term of sequence : a₁ = -5

The second term : a₂ = -2

Common difference : d = a₂ - a₁

=> d = -2 - (-5)

=> d = -2 + 5

=> d = 3

The nth rule of linear sequence is aₙ = aₙ₋₁ + d

replacing the value of d

aₙ = aₙ₋₁ + 3 is nth rule of the linear sequence.

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Answer:

8/25

Step-by-step explanation:

The probability of picking a number less than 9 is 4/5.

The probability of picking an even number is 2/5.

\(4/5 \times 2/5\)

\(=8/25\)

Answer:

Area = 1/2 × a × b sinx°

Therefore,

Area = 1/2 × 19 × 14 × sin 33°

= 133 × sin 33°

= 72.436 ~ 7.44

Hope it helps!

Answer:

76%

Step-by-step explanation:

Total Outcomes (9 blue + 10 green)/Total options (9+10+6)

19/25

=76%

Applying the Pythagorean theorem, we can say that the length of the diagonal walkway that Max is designing is 20 feet.

The first step is to understand that the design of the diagonal walkway forms a right triangle, so we can use the Pythagorean theorem, whose square of the length of the diagonal, also called the hypotenuse, will be equal to the sum of the squares on both sides.

Therefore, substituting the values in the formula C²=A²+B² where A corresponds to the width, B to the length and C as the diagonal, we have:

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The median would be 22:

Step-by-step explanation: The median is the number that is in the middle

Simply defined, the median is the number right in the middle of a set.

But before I get down to finding the median, I will order the numbers from least to greatest:

15, 17, 19, 20, 21, 22, 23

Now, the middle number is 20. So that's the median.

As for the range, it's the difference between the largest number and the smallest one:

Range = Greatest number - Smallest number

           = 23 - 15

           = 6

In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.

Answer:

Step-by-step explanation:

Given

Required amount of vinyl:

Answer:

(20+75)/6 < (20+75)/2 < (20+75) × 3 < (20+75) × 4

Step-by-step explanation:

just solve each problem and compare the values.

Answer:

135

Step-by-step explanation:

I am not sure if you have to use the substitution method but I just did (600 - 60) then divided by 4  

Answer:

The pin reaches its maximum height of \(66.39\)  feet  \(1.014\) second (s) after it is released

Step-by-step explanation:

Generally from kinematic equation

    \(v^2 = u^2 + 2as\)

Here v is 0 m/s given that the velocity at maximum height is zero

        s is the distance from the 37 feet to maximum height

        a is the acceleration due to gravity i.e (-9.8m/s^2 ) the negative sign shows that it is moving against gravity

So

         \(0 = 24^2 + 2*( -9.8) * s\)

=>       \(s = 29.39 \ ft\)

Generally the maximum height attained is  

      \(H = 37 + 29.39\)

     \(H = 66.39 \ ft\)

Generally from the  kinematic equation

      \(s = ut + \frac{1}{2}(g)t^2\)

=>   \(29.39 = 24 t + 0.5 * 9.8 t^2\)

=>  \(29.39 = 24 t + 4.9 t^2\)

=>   \(4.9t^2 + 24 t -29.39\)

Using quadratic formula to solve this equation we have

    \(t = 1.014 \ s\)

Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.

To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.

Derrick planted 20% of the 150 strawberry plants:

20% of 150 = (20/100) * 150 = 30 strawberry plants.

Janis planted 60% of the 150 strawberry plants:

60% of 150 = (60/100) * 150 = 90 strawberry plants.

Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.

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After simplification we got the above expression in the form 3f + 16m -56

The word "simplify" implies to turn something in a simpler form.

In mathematics, simplify an expression means write an expression in such a way that is comparatively less complicated than before. The main purpose of simplify an expression is to make it easy to solve as well as calculation.

3f + 8(2m-7)

we rearrange the expression by removing the parenthesis.

we remove the parenthesis by multiplying the factors.

3f + 8 × 2m - 8 × 7

3f + 16m -56

the above expression has no like terms to add or subtract so it is kept in this form.

Hence, 3f + 16m -56 is the simpler form.

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Answer:

50

Step-by-step explanation:

7,750÷155=50

Answer:

\(\text{A. }y=1.30x+1.50\)

Step-by-step explanation:

The two ringtones will cost her a total of \(0.75\cdot 2=1.50\) and is a fixed amount. The relationship between the cost and number of songs only is \(y=1.30x\) and therefore the answer is \(\boxed{\text{A. }y=1.30x+1.50}\). You can also directly find the answer by finding the y-intercept (in this case \(1.50\)), as no other answer choices include the term \(1.50\), so A must be the correct answer.

The mean of the number of hours worked by employees, if The number of hours five employees worked at a store is 14, 23, 26, 40, 26, is 25.8.

Mean is a measurement of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value." In mathematical terms, it is the division of the sum of all the numbers by total numbers.

Given:

The number of hours five employees worked at a store = 14, 23, 26, 40, 26

Calculate the mean as shown below,

Mean = Sum of all the working hours by employees / Number of employees

Mean = (14 + 23 + 26 + 40 + 26) / 5

Mean = 129 / 5

Mean = 25.8

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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The given function y = sec⁻¹(x³) is differentiated as dy/dx = 3x/√(x² - 1).

The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = Lim h --> 0 (f(x + h) - f(x)) /(x + h - x).

Its geometric meaning is the slope of tangent of the function at a given point.

The given function is as below,

y = sec⁻¹(x³)

The given function is a composite function of sec⁻¹x and x³.

In order to differentiate it, first differentiate x³ and then sec⁻¹x as follows,

dx³/dx = 3x²

And, dsec⁻¹x /dx = 1/x√(x² - 1)

Now, differentiation of sec⁻¹(x³) is given as,

d sec⁻¹(x³)/dx = 3x²/(x√(x² - 1))

                      = 3x/√(x² - 1)

Hence, the differentiation of the given function is 3x/√(x² - 1).

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Answer:

The magnitude of the vector is 9.165 and it's direction is 40.6°

Step-by-step explanation:

A vector quantity is a quantity that has both size (magnitude) and direction. Examples of vector quantities are force, velocity and impulse.

Magnitude of vector v is given by

|v| = √6²+7²

= √36+49

= √84

= 9.165

Direction of vector v is obtained by:

\( \tan( \theta) = \frac{x}{y} \)

\(\theta = {tan}^{ - 1} ( \frac{6}{7}) \)

\(\theta = {40.6°}\)

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The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).

To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.

1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).

Therefore, 3 yards is equal to 3 * 36 = 108 inches.

Now, we can compare 108 inches to 3 yards 16 inches.

108 inches is equal to 3 yards, so it matches the given length.

To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.

Therefore, 3 yards 16 inches is equivalent to:

3 yards

108 inches

3 yards 0.44 yards (or approximately 3.44 yards)

108 inches 0.44 yards (or approximately 108.44 inches)

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The volume of a rectangular box= 1056 ft³

The surface area of a rectangular box= 632 square ft

Volume is a measure of three-dimensional space that is occupied. It is frequently quantified numerically using SI-derived units or different imperial or US customary units (such as the gallon, quart, cubic inch). The definition of length (cubed) is related to volume. The volume of a container is commonly believed to be its capacity; that is, the amount of fluid (gas or liquid) that the container can hold, rather than the amount of space it occupies.

Volume was measured in ancient times using similar-shaped natural containers, and later, standardized vessels. Arithmetic formulas can quickly compute the volume of some simple three-dimensional shapes.

Given,

Length of the rectangular box= 11ft

Width of the rectangular box= 8 ft

Height of the rectangular box= 12 ft

Volume= Length× Width× Height

Volume= 11×8×12

=1056 ft³

Therefore, volume= 1056ft³

Surface area of a rectangular box is,

1 and 2 surfaces, 11 × 8 ===>

Surface area = 2× (11× 8) =  176 square ft

1 and 3 surfaces 11 × 12 ===>

Surface area = 2× (11×12) = 264 square inches

3• 2 surfaces 12 × 8 ===>

Surface area = 2× ( 12 × 8) = 192 square inches

Adding all the surface areas

176 +264 +192= 632  square ft.

The surface area of a rectangular box= 632 square ft

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The value of x will be -7. The expression is solved using the identity.

Exponents can also be written as logarithms. The other number is equal to a logarithm with a number base. It's the exact inverse of the exponent function.

Given expression;

\(\rm log_2(\frac{1}{128}) = x\)

The expression is solved using the identity as;

\(\rm log_e1 = x\\\ e^x=1\)

Apply the identity;

\(\rm log_2(\frac{1}{128}) = x \\\\ 2^x = \frac{1}{128}\\\\ 2^x = \frac{1}{2^7} \\\\ 2^x = 2^{-7} \\\\ x = -7\)

Hence the value of x will bed -7.

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The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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As per the confidence interval, the average weight gain for composites of this kind is smaller than 0.43% is 0.0006​

Confidence interval

In statistics, the probability that a population parameter will fall between two set values is known as Confidence interval.

Given,

Here the weight gains of a collection of n =21 samples of composite subjected to water diffusion were obtained. The sample mean is x=0.42% with a sample std. of S=0.04%

Here we need to find the 95% confident from the results of this experiment that the average weight gain for composites of this kind is smaller than 0.43% .

As per the given question, we have the following details,

=> x=0.337%,

=> s=0.025%,

=> n=18.

And then we use next test hypotheses 

=> H0​:μ≥0.36 versus HA​:μ<0.36.

And then first we will calculate t-statistic and then p-value to decide which hypotheses we will accept.

=> [(0.337−0.36)/ 0.025] x √18​

=> -3.903,

=> p = TDIST(∣t∣, n − 1 , 1)

=> p = TDIST(∣−3.903∣,17,1)=0.0006​

Therefore, p-value is smaller than 0.01, we reject H0​ and accept HA​.

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