please solve..............

Answer:

24 1/2

Step-by-step explanation:

Answer:

look at the picture i sent

Answer:

4 bouquets

Step-by-step explanation:

She can make four bouquets, being that 4 is the greatest common factor of both 12 and 16

Answer:

1,3,4,6

Step-by-step explanation:

The sign's area is 80 square inches.

A rectangle is a quadrilateral. This means that a rectangle has four sides.

The area of a rectangle = length x width

Perimeter of a rectangle = 2 x ( length + width)

Let the width of the sign be represented with w

The length of the sign is 5x

Substitute these dimensions into the formula for the perimeter of a rectangle.

(x + 5x) = 24

6x = 24

x = 24/6

x = 4 inches

The length is 5 x 4 = 20 inches

Area of the sign = 20 x 4 = 80 inches²

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Answer:

≈ 3.9 miles

Step-by-step explanation:

The third angle in the triangle is

180° - (53 + 78)° = 180° - 131° = 49°

Using the Sine rule in the triangle with distance from 2 being x, then

\(\frac{3}{sin49}\) = \(\frac{x}{sin78}\) ( cross- multiply )

x × sin49° = 3 × sin78° ( divide both sides by sin49° )

x = \(\frac{3sin78}{sin49}\) ≈ 3.9 ( to the nearest tenth )

Answer:

-0.301

Step-by-step explanation:

Correct Question :-

If log 2 = 0.301 , find log 0.5

Solution :-

We are here given that the value of log 5 is 0.699 . Here the base of log is 10 .

\(\rm\implies log_{10}2= 0.301 \)

And we are supposed to find out the value of log 0.5 . We can write it as ,

\(\rm\implies log_{10}(0.5) = log _{10}\bigg( \dfrac{5}{10}\bigg)\)

Simplify ,

\(\rm\implies log _{10}\bigg( \dfrac{1}{2}\bigg)\)

This can be written as ,

\(\rm\implies log_{10} ( 2^{-1})\)

Use property of log ,

\(\rm\implies -1 \times log_{10}2 \)

Put the value of log 2 ,

\(\rm\implies -1 \times 0.301 =\boxed{\blue{-0.301}} \)

Hence the value of log (0.5) is -0.301 .

*Note -

Here here there was no use of log 5 in the calculation .

The number of more hours spent on baseball than volleyball is 3 hours. The correct option is B:3

From the question, we are to determine how many hours Elsa played baseball than volleyball

From the given information,

Elsa played sports for 20 hours

From the circle graph,

She spent 25% of the time on baseball

Time spent on baseball = 25% × 20 hours

Time spent on baseball = (25/100) × 20 hours

Time spent on baseball = 0.25 × 20 hours

Time spent on baseball = 5 hours

For time spent on volleyball

From the circle graph, she spent 10% of the total time on volleyball

Time spent on volleyball = 10% × 20 hours

Time spent on volleyball= (10/100) × 20 hours

Time spent on volleyball= 0.1 × 20 hours

Time spent on volleyball= 2 hours

The number of more hours spent on baseball than volleyball

= 5hours - 2 hours

The number of more hours spent on baseball than volleyball = 3 hours

Hence, the number of more hours spent on baseball than volleyball is 3 hours. The correct option is B:3

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the antiderivative of the function f(x) = 2 csc(x) cot(x) sec(x) tan(x) is F(x) = 2x + C.

To find the antiderivative F(x) of the function f(x) = 2 csc(x) cot(x) sec(x) tan(x), we can simplify the expression and integrate each term individually.

We know that csc(x) = 1/sin(x), cot(x) = 1/tan(x), sec(x) = 1/cos(x), and tan(x) = sin(x)/cos(x).

Substituting these values into the expression:

f(x) = 2 * (1/sin(x)) * (1/tan(x)) * (1/cos(x)) * (sin(x)/cos(x))

= 2 * (1/sin(x)) * (1/(sin(x)/cos(x))) * (sin(x)/cos(x)) * (sin(x)/cos(x))

= 2 * (1/sin(x)) * (cos(x)/sin(x)) * (sin(x)/cos(x)) * (sin(x)/cos(x))

= 2 * 1

= 2

The antiderivative of a constant function is simply the constant multiplied by x. Therefore:

F(x) = 2x + C

where C represents the constant of the antiderivative.

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Answer: The inverse is b.

Step-by-step explanation:

The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To solve this problem, we can use the formula for the volume of a hexagonal prism:

V = (3√3/2) * a^2 * h

where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.

We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:

98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95

Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:

A = (3√3/2) * a^2

where A is the area of one of the bases. Plugging in the value we found for a, we get:

A = (3√3/2) * (2.95)^2
A ≈ 7.39

Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

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Answer:

<FIN

Step-by-step explanation:

If SADLER ≈ FINEST

That means that all the angles are congruent.

So if you have SAD the first angles 3 angles of the figure on the left

Then the FIN would be congruent since it is the first 3 angles of the figure on the right.

VISUAL

SADLER ≈ FINEST

I hope you understood this!

Hope this helps ya!

The maturity value of the investment would be $8,858.80.

To calculate the maturity value, we need to calculate the compound interest for each period separately and then add them together.

For the first 18 months, the interest is compounded semi-annually at a rate of 5%. Since there are two compounding periods per year, we divide the annual interest rate by 2 and calculate the interest for each period. The formula for compound interest is A = P(1 + r/n)^(nt), where A is the maturity value, P is the principal amount, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years. Plugging in the values, we get A = 8000(1 + 0.05/2)^(2*1.5) = $8,660.81.

For the next 5 months, the interest is compounded monthly at a rate of 10%. We use the same formula but adjust the values for the new interest rate and compounding frequency. Plugging in the values, we get A = 8000(1 + 0.10/12)^(12*5/12) = $8,858.80.

Therefore, the maturity value of the certificate after the specified period would be $8,858.80.

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The expression on simplification without negative exponents gives: = \(9x^{4.5} y^{6.5} -2\)

Exponents are mathematical notations used to express a number as the power of another number. The number raised to the power is called the base, and the exponent indicates the number of times the base is used as a factor.

Product of powers: If a^m * a^n, where m and n are exponents and a is the base, then the result is a^(m+n).

Power of power: If (a^m)^n, where m and n are exponents and a is the base, then the result is a^(m * n).

The quotient of powers: If a^m / a^n, where m and n are exponents and a is the base, then the result is a^(m-n).

Zero exponents: a^0 = 1, where a is the base. For example, 2^0 = 1.

The expression can be simplified as follows:

\(9x^{5/2} y^{5} x^{4}y^{-3/2}-2\)

= \(9x^{\frac{9}{2} } y^{\frac{13}{2} } -2\)

= \(9x^{4.5} y^{6.5} -2\)

Therefore, The expression on simplification without negative exponents gives \(9x^{4.5} y^{6.5} -2\).

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Answer:

60

Step-by-step explanation:

To find the least common multiple of 15 and 12, we can list the multiples of 15 and 12 and find the smallest number that appears in both lists:

Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, ...

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, ...

The least common multiple of 15 and 12 is 60, so Cameron and Brooks will go to the grocery store on the same day every 60 days.

The closest value to the greatest height reached by the projectile is approximately 382 meters. option 3.

To find the greatest height reached by the projectile, we need to determine the maximum value of the quadratic function h(t) = -4.9t^2 + 86t + 6.2. The maximum height corresponds to the vertex of the parabolic function.

The formula for the x-coordinate of the vertex of a quadratic function in the form ax^2 + bx + c is given by x = -b / (2a). In this case, a = -4.9 and b = 86.

Plugging in the values, we have x = -86 / (2 * -4.9) = -86 / -9.8 = 8.775.

We are given that the projectile hits its peak height at t = 8.775 seconds, which confirms that our calculations are correct.

Now, to find the greatest height, we substitute t = 8.775 back into the function h(t):

h(8.775) = -4.9(8.775)^2 + 86(8.775) + 6.2

≈ -4.9 * 76.951 + 753.15 + 6.2

≈ -377.1049 + 753.15 + 6.2

≈ 382.2451

Therefore, the closest value to the greatest height reached by the projectile is approximately 382 meters. So Option 3 is correct

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Answer:

the answer is 28

Step-by-step explanation:

Maeda scored 24 points and if 4 less then jill

x is variable

x-4=24 add 4 on both sides

x=28

Answer:

5.905 feet

Step-by-step explanation:

59.05 divided by 10 = 5.905 (just move the decimal one place left for when dividing with 10)

Answer:

I think that x would be 32

Step-by-step explanation:

11 plus 21 is 32

Answer:   -3

Step-by-step explanation:

-4x  - 10 < 2

-4x < 12

x > -3

Answer:  see below

Step-by-step explanation:

\(32)\quad \dfrac{3}{5}(x-12)>x-24\)

        3(x - 12) > 5(x - 24)

        3x - 36 > 5x - 120

      -5x         -5x        

        -2x - 36 >      -120

             +36          +36

        -2x        >       -84

     ÷ -2         ↓       ÷ -2  

             x      <       42

Graph:   ←------------o

                             42

34)   6[5y - (3y - 1)] ≥ 4(3y - 7)

        6[5y - 3y + 1] ≥ 4(3y - 7)

        6{2y + 1]        ≥ 4(3y - 7)

         12y + 6        ≥ 12y - 28

        -12y                -12y      

                  6        ≥         -28

                        TRUE  so the solution is All Real Numbers

Graph:   ←-----------------------→

36)   BC  +  AC      > AB

         4    + 8 - AB > AB

                12 - AB  > AB

                    +AB    +AB

                12          > 2AB

              ÷2            ÷2    

                 6           >  AB

                         AB < 6

\(38)\quad \dfrac{1}{2}(y-16)\geq y+2\quad ;\text{claim}\ y\leq 20\)

Check: let y = 16

           then \(\frac{1}{2}\)(16 - 16) ≥ 16 + 2

                            0    ≥ 18

                            FALSE  so the claim is wrong

40) question not provided in the image so I cannot give a solution.

Answer:

See below

Step-by-step explanation:

11. This is a tangent-chord angle, which means the angle is half of the measure of its intercepted arc.

7x - 10 = (1/2) * 120

7x - 10 = 60

7x = 70

x = 10

12. This is a chord-chord angle, which means the angle is half of the sum of the measures of the arcs intercepted by the chord-chord angle and its vertical angle.

26x - 2 = (1/2) * (131 + 18x + 1)

26x - 2 = (1/2) * (18x + 132)

26x - 2 = 9x + 66

17x = 68

x = 4

13. This is a secant-tangent angle, which means the angle is half of the difference between the measures of the intercepted arcs.

5x - 5 = (1/2) * (190 - (13x - 7))

5x - 5 = (1/2) * (197 - 13x)

10x - 10 = 197 - 13x

23x = 207

x = 9

14. This is also a secant-tangent angle.

2x + 14 = (1/2) * (6 + 14x - 58)

2x + 14 = (1/2) * (14x - 52)

2x + 14 = 7x - 26

5x = 40

x = 8

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

X=5

15x=75

Step-by-step explanation:

Answer:

Angle 1 = 25 degrees

Angle 2 = 65 degrees

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

233.5

Step-by-step explanation:

1) Find the area of the rectangle

2) Find the area of the triangle

3) Find the area of the semicircle

4) Add the results together

5) Round the nearest tenth

Have a lovely day :)

Answer: 1 triangle

Step-by-step explanation:

From the question, we are told that Bablu has three sticks of lengths 3, 4 and 5 cm and Ramesh has three sticks of lengths 3, 5 and 9 cm. To make a triangle, the addition of the square I the two smallest lengths must be equal to the square of the length of the largest stick. This will be:

Bablu has three sticks of lengths 3, 4 and 5 cm. This will be

3² + 4² = 5²

9 + 16 = 25

Since this is equal, Bablu sticks can make a triangle.

Ramesh has three sticks of lengths 3, 5 and 9 cm. This will be:

3² + 5² = 9²

9 + 25 = 34

Since the answer is 34 and not 9² which is 81, it means that Ramesh can not make a triangle. Therefore, only 1 triangle can be made.

Answer:

20

Step-by-step explanation:

Total no of plants in a garden = 36

The ratio of tomato plants to cucumber plants to be 4:5.

Let tomato plants are 4x and cucumber plants is 5x.

ATQ,

4x+5x=36

9x = 36

x = 4

For cucumber plant, 5x = 5(4) = 20

So, there are 20 cucumber plants will be in Reggie's garden

Answer:

see explanation

Step-by-step explanation:

the shaded area is calculated as

outer circle area - inner circle area

since CAB is a tangent to the inner circle at A then OAB = 90° and

Δ OAB is right

using Pythagoras' identity in the right triangle to express R in terms of r and d , then

R² = d² + r²

------------------------------------------

A( outer Δ ) = πR² = π(d² + r² ) = πd² + πr²

A ( inner Δ ) = πr²

Then

shaded area = πd² + πr² - πr² = πd²

The z-score measures how many standard deviations a raw score is away from the B) mean. It allows us to compare different data points on a common scale.

To determine the z-score for a raw score in a particular set of scores, the necessary information is the mean and standard deviation for the set.

The mean is the average of all the scores in the set, while the standard deviation measures how spread out the scores are from the mean. The z-score formula is calculated by subtracting the mean from the raw score and then dividing it by the standard deviation.

This gives us a standardized value that indicates how far above or below the mean the raw score is.

The other options mentioned in the question (highest, lowest, median, number of scores) are not required to calculate the z-score. They may be useful for other types of analysis, but for determining the z-score, only the mean and standard deviation are needed.

Hence B option is correct

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Answer:

approx. 68%

Step-by-step explanation:

this is a normal distribution.

in a normal distribution, approximately 68% of the data is within one standard deviation of the mean (we also have 95% of data is within two standard deviations of the mean, and 99.7% of data is within three standard deviations of the mean).

one standard deviation in our question is 113.

315 is one standard deviation below the mean because 428 - 113 = 315.

541 is one standard deviation above the mean because 428 + 113 = 541.

so we expect approx. 68% of the data to be between 315 and 541.