Find the area of the geometric figure.
Square
9.5

Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

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The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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Answer:

Left tailed.

Step-by-step explanation:

A claim (alternative hypothesis) is set against the null hypothesis.

The claim (alternative hypothesis) of the  golf analyst is that the standard deviation of the​ 18-hole scores for a golfer is  less than 2.1 strokes

Ha: Sd< 2.1

The null hypothesis will be opposite of the alternate hypothesis

H0: sd ≥ 2.1

A test for which the entire rejection region is located in only one of the two tails - either left or right- is called one tailed test.

In the given example the acceptance region is located in the area greater or equal to 2.1 . The rejection region lies to the left and the acceptance region lies to the right.

As the rejection region lies to the left, it is a left tailed test.

Also if the alternative hypothesis contains equality less than it is left tailed.

Answer:

its 39

Step-by-step explanation:

9+4=13

13x3=39

Answer:

Greater Than [The second choice]

Step-by-step explanation:

Answer:

4 weeks = 672 hours

Answer:

672 hours

Step-by-step explanation:

In a day, there are 24 hours.

In 4 weeks, there are 28 days

24 x 28= 672 hours altogether

hope this helps!

Answer:

15 sides

Step-by-step explanation:

all exterior angles of any polygon add to 360 degrees

so if you divide 360 by 24, then you will find the number of sides

360/24 = 15

We are asked to graph the following system of equations:

The graph of both equations are lines, as follows:

The point of interception is the solution to the system of equations.

Answer:

When x=10 f(x) is equal to 15

Step-by-step explanation:

Just substitute the two equations, 15=2x-5 -> 20=2x -> x=10.

Answer:

2

Step-by-step explanation:

7x 10squared is 700. 10 squared is 100 7x 100 is 700

Hope this helps plz mark brainliest ;D

Answer:

7*\(10^{2}\)

Step-by-step explanation:

-> 2j.

-> 15+2j.

15+2j.

Answer:

Im pretty sure that the answer would be choice f.

Step-by-step explanation:

(a) {T, P, E}: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.

(b) {A, B, D, M}: Coplanar. These points lie on the same plane since they are contained within the drawing.

(c) {B, K, C}: Collinear. These points lie on the same line within the drawing.

(d) {A, K, E}: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.

(e) {M, K, T}: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.

(f) {A, Q, P, D}: Coplanar. These points lie on the same plane since they are contained within the drawing.

EM, P, B: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.

EM, P, B: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.

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The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

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The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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Answer:

Step-by-step explanation:

a₁₂ = a₁r¹²⁻¹ = -15×6¹¹

Answer:

Volume ≈ 153.93804 cm^3

Rounded to the nearest whole number, the volume of the cone is approximately 154 cm^3.

Step-by-step explanation:

Answer:

9:25

Step-by-step explanation:

0.36 is 36% which is 36/100 or 36 to 100

36:100 is 9:25

Hope this helps!

Answer:

9 : 25

Step-by-step explanation:

We need to figure out what the ratio of 0.36 is.

First, we need to convert the decimal number to a fraction by making 0.36 the numerator and 1 the denominator.

1.  0.36  = \(\frac{0.36}{1}\)

Next, we need to multiply the numerator and denominator by 100 to eliminate the decimal point.

2.  \(\frac{0.36 * 100}{1 * 100}\) = \(\frac{36}{100}\)

After that, we need to simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 36 and 100. (The GCF of 36 and 100 is 4.)

3.  \(\frac{36 / 4}{100 / 4} = \frac{9}{25}\)

Finally, we need to convert the fraction in the previous step to a ratio by replacing the divider line with a colon.

4.  \(\frac{9}{25}\) = 9 : 25

So the ratio of 0.36 is 9 : 25.

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Have a great day!

The value of n is 8.

Binomial theorem is the method of expanding an expression consisting of two terms raised to any power.

Using the expansion of Binomial theorem, we can write,

(2 + 3x)ⁿ = ⁿC₀ (2)ⁿ (3x)⁰ + ⁿC₁ (2)ⁿ⁻¹ (3x)¹ + ⁿC₂ (2)ⁿ⁻² (3x)² + ⁿC₃ (2)ⁿ⁻³ (3x)³ + ⁿC₄ (2)ⁿ⁻⁴ (3x)⁴ + .............

Coefficient of x³ is  ⁿC₃ (2)ⁿ⁻³ (3)³ and the coefficient of x⁴ is ⁿC₄ (2)ⁿ⁻⁴ (3)⁴.

Ratio of these coefficients is 8 : 15.

[ⁿC₃ (2)ⁿ⁻³ (3)³] / [ⁿC₄ (2)ⁿ⁻⁴ (3)⁴] = 8 / 15

Simplifying,

(4 × 2) / [(n - 3) 3] = 8/15

8 / 3n - 9 = 8 /15

Equating, we have,

3n - 9 = 15

3n = 24

n = 8

Hence the value of n is 8.

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If A=(4,-5) and 8 (7,-9), 7 units is the length of AB

distance = √( (7−4)^2 + (−9−(−5))^2 )

Plugging in the numbers and solving, we get:

distance = √( (3)^2 + (−4)^2 )

distance = √( 9 + 16 )

distance = √49

distance = 7 units

Therefore, the length of AB is 7 units.

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Answer:

The answer to your question is A. Yes, because the total will be $3.27

0.35(2)+0.99(2)+0.59≤4.

Then you multiply: .35(2)=.70. .99(2)=1.98.

Then add: .70+1.98+.59=3.27, so yes she can since 3.27 is less than 4 :)

Step-by-step explanation:

I hope this helps and have a good day!

Answer: -37%

Step by Step Sol: 100=x

10% of 100 equals 10

100-10 = 90

30% of 90 equals 27

90-27 = 63

63-100 equals -37

The temperature decreased by 37% if the temperature changed if; at first it decreased by 10%.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

The temperature change if; at first, it decreased by 10 % and then decreased by 30%

Let x be the initial temperature

= (100 - 10) = 90%   (first it decreased by 10%)

= 90% of x

= 0.90x

Then decrease by 30 percent,

= 100 - 30 = 70%

= (0 .90x)× 0.70

= 0.63x

The original percentage left 63%

= 100 - 63 = 37

Thus, the temperature decreased by 37% if the temperature changed if; at first it decreased by 10%.

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Answer:

\(x = \dfrac{21}8\)

Step-by-step explanation:

\(~~~~~~~~\dfrac 1 2 -x + \dfrac 34 = x-4\\\\\\\implies \dfrac 24 + \dfrac 34 - x =x-4\\\\\\\implies \dfrac 54+4=x+x\\\\\\\implies 2x = \dfrac{21}{4}\\\\\\\implies x = \dfrac{21}{4 \cdot 2}\\\\\\\implies x = \dfrac{21}8\)

Answer:

y = -3x + 3

Step-by-step explanation:

Slope = -3

y-intercept = 3

Substitute values into slope intercept form :

y=mx + b

Where :

m= Slope

b = y-intercept

\(y = - 3x + 3\)

Answer:

The height of the kite is 48.54 feet

The angle of elevation is 76.11°

Step-by-step explanation:

To find the height of the kite, we can use the Pythagoras' theorem in the triangle created by the length of the string (hypotenuse), the height of the kite and the distance to the umbrella (catheti).

Then, we have:

50^2 = 12^2 + height^2

height^2 = 2500 - 144

height^2 = 2356

height = 48.54 ft

So the kite is 48.54 feet high in the air.

The angle of elevation can be calculated using the cosine relation:

cos(angle) = 12 / 50

cos(angle) = 0.24

angle = 76.11°

Answer:

A) 3 cups

B) $40.50

Step-by-step explanation:

Part A

Step 1 - divide the target number of pralines by the number the recipe makes:

108 ÷ 18 = 6

Step 2 - multiply this number by the amount of light cream in the recipe for one batch:

\(\frac{1}{2} * 6 = 3\)

This means that 3 cups are needed.

Part B

Step 1 - Divide the total pralines by 4:

108 ÷ 4 = 27

Step 2 - Multiply this number by the price Kia is going to sell them:

1.50 * 27 = 40.5

So she will make $40.50 for the school.

Hope this helps!

4) D. 3 cups

5) C. $40.50

(4)

You divide 108 (she is making) by 18 (number in a batch) to get 6,

so she needs to make 6 batches.

She needs 1/2 cup light cream from one batch, so 1/2 times 6 is 3 (6 / 2 = 3). So the answer to 4 is D. 3 cups

(5)

She is making 108 and sells 4 for 1.50.

108 / 4 = 27

(total by number for price)

27 x $1.50 = $40.50

(number of "batches of 4 for the price" times the price)

- so the answer to 5 is C. $40.50

The width of each poster cannot be greater than 11/4 feet or 2.75 feet.

For given expression w represents the width, 4w represents the total width of four posters, 5 represents space between posters and edges of wall, and 16 represents width of the wall.

The boundary value satisfies the inequality.

In the given problem, Marie-Renee wants to hang 4 identical posters on her wall, and she needs to leave at least 5 feet of space total between the posters and between the edges of the wall. Let's assume that the width of each poster is w feet.

The inequality 4w + 5 ≤ 16 represents the maximum space the posters can take on the wall. In this inequality,

w represents the width of each poster,

4w represents the total width of four identical posters,

5 represents the total space between the posters and between the edges of the wall, and

16 represents the total width of the wall.

To find the acceptable width of each poster, we need to solve 4w + 5 = 16.

4w + 5 = 16

4w = 16 - 5

4w = 11

w = 11/4

So, the width of each poster cannot be greater than 11/4 feet or 2.75 feet.

Now, we need to check if the boundary value of w satisfies the original inequality or not.

4w + 5 ≤ 16

4(11/4) + 5 ≤ 16

11 + 5 ≤ 16

16 ≤ 16

Since the boundary value satisfies the inequality, the solution to Marie-Renee's inequality is w ≤ 11/4 or w ≤ 2.75 feet.

Therefore, the width of each poster cannot exceed 2.75 feet, and all four posters can be hung on the 16 feet wide wall with at least 5 feet of space total between them and the edges of the wall.

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To completely solve the problem, Karim should convert the product back into standard decimal notation.

We cannot directly apply the product of powers property because the binomial is not raised to a power itself.

(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).

0.0258 × \(10^{-8\)  = 0.0258 × 0.00000001

                         = 0.000000000000258

(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.

In the expression \((3z + y)^3\), we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.

To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.

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Since the number of employees increased by 4%, then, find what is 4% of 389 equal to. That corresponds to the amount of new employees.

To find what is 4% of 389, multiply 389 by 4/100:

Rounded to the nearest whole number, there are 16 new employees.

Add 16 to 389 to find the total amount of employees this year:

Therefore, the number of employees this year is 405.