Expand and simplify (3a + 4)(3a + 4).
these are the answer options.
3a^2 + 16
9a^2 + 16
9a^2 + 12a + 8
9a^2 + 24a + 16

Answer:

c

Step-by-step explanation:

c po yong sagot trinay kopong i solve

Answer:

the answer is option B. a = -6,4.

Answer:

both are wrong.

Step-by-step explanation:

the answer to the problem 53 x (1/10) + (35/100) is 5.65

you can even see that we're not multiplying these 10s and 100s were dividing them so the answer's gonna be short most prolly in decimals, and that'd what we got 5.65

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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False. Randomization distributions are centered at the value where the null is false. This distinction is important in hypothesis testing as it helps determine the statistical significance of observed differences or effects.

Randomization distributions are generated through permutation tests, which involve random shuffling of data points between groups. In hypothesis testing, the null hypothesis assumes that there is no difference between groups or no effect of a treatment. The alternative hypothesis suggests otherwise.

The randomization distribution is created by repeatedly shuffling the data and calculating a test statistic based on the null hypothesis. This distribution represents the expected outcomes if the null hypothesis is true. Therefore, the randomization distributions are centered at the value where the null is false, as they capture the potential differences or effects between groups.

In summary, randomization distributions are not centered at the value where the null is true; rather, they are centered at the value where the null is false. This distinction is important in hypothesis testing as it helps determine the statistical significance of observed differences or effects.

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The function value that us greater is with estimated value of 96

The estimated value is the value read from the graph which gives the accumulated value for each of the line

The first line gives an estimated value of

10+14+18+19+28 = 89

The second graph gives gives an estimated value of

17+18+19+20+22 = 96

Therefore comparing the two graphs, the one with 96 has the greater value

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Answer:

Look at the picture**

Step-by-step explanation:

X2

Answer:

Step-by-step explanation:

x2

Answer:

10. 32 mpg

12. 5 1/3 grams = 1 serving

14. 0.8 cent per can

16. 1/2 kg = 1 foot

18. 8 7/10 meters in 1 hour

Step-by-step explanation:

10. 256/8=32

12. if 4=3/4 then ?=4/4. to find 1/4 divide both by 3, 3/4 divided by 3 = 1/4, 4 divided by 3=1 1/3. then to find 4/4 multiply both by 4, 1/4x4=4/4, 1 1/3x4=5 1/3 so 5 1/3=1

14. 4.8/0.6=0.8

16. if 1/3=2/3 then ?=3/3. to find 1/3 divide both by 2, 2/3 divided by 2=1/3, 1/3 divided by 2 = 1/6. then to find 3/3 multiply both by 3, 1/3x3=3/3, 1/6x3=1/2

18. if 21 3/4=2 1/2 then ?=2/2. to find 1/2 divide both by 5, 2 1/2 divided by 5=1/2, 21 3/4 divided by 5 = 4 7/20. then to find 2/2 multiply both by 2, 1/2x2=2/2, 4 7/20x2=8 7/10

Answer:

increase in thermal energy

Step-by-step explanation:

because if you increase the thermal/heat energy ten the solid will turn into liquid and same goes for liquid to solid evaporation for example the heat from the sun will make the water turn into clouds or gas

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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The Probability (first card is a Queen) is not equal to P(second card is a Queen) in this scenario.

The probability of drawing a Queen as the first card: P(first card is a Queen) = 4/52 (since there are 4 Queens in a deck of 52 cards)

After removing one Queen from the deck, there are now 51 cards left, and 3 Queens remaining.

The probability of drawing a Queen as the second card: P(second card is a Queen) = 3/51

To determine if the probabilities are equal, we can compare the fractions:

P(first card is a Queen) = 4/52 = 1/13 P(second card is a Queen) = 3/51

Since 1/13 is not equal to 3/51, we can conclude that P(first card is a Queen) is not equal to P(second card is a Queen) in this scenario.

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Answer:

Anything between 90 and 180, excluding 90 and 180.

Step-by-step explanation:

INFO

Answer:

4mm

Step-by-step explanation:

Joseph made a scale drawing of an Italian restaurant. The scale he used was 1 millimeter : 6 meters.

From the above question, our scale factor is given as:

1 millimeter : 6 meters.

1 mm = 6 m

Which also means

6m = 1 mm

The restaurant's kitchen is 24 meters long in real life. How long is the kitchen in the drawing?

Hence, we can calculate this as

6m = 1 mm

24 m = x mm

Cross Multiply

6 m × x mm = 24m × 1 mm

x mm = 24m × 1 mm/6m

x mm = 4 mm

Therefore, the length of the kitchen in the drawing is 4mm

Answer:

x=3

Step-by-step explanation:

2/3x+15=17

first subtract 15 from both sides

2/3x=2

multiply by 3 to eliminate the fraction

2x=6

divide by 3

x=3

Answer:

x=3

Step-by-step explanation:

2/3x +15 = 17

2/3x = 17-15

2/3x = 2

x = 2  /  2/3

x = 2/1  *  3/2

x = 6/2

x = 3

Answer:

Because 1/10 is just a tenth of a full 1.

Step-by-step explanation:

3 x 1/10 is less than 3 x 10 because that answer to 3 x 1/10 is 0.3 and 3 x 10 is 30. So you can see that 0.3 is less than 30. It is because 1/10 is just one part of a ten, and if you wanted a whole 1 you would have to do 1/10 x 10 to get a full 1.

The expression 3x1/10 is less than 3x10 because it represents a smaller value by comparing the results,  0.3 (from 3x1/10) is less than 30 (from 3x10).

To determine which expression is greater,  evaluate both.

First expression: 3x1/10

multiply the fractions yields:

(3 x 1)/( 1 x 10)

On simplifying gives:

3/10

Dividing gives:

3 x 1/10= 0.3

Second expression 3 x10:

Multiply 3 by 10 gives:

3 x 10 = 30.

Comparing the results,  0.3 (from 3x1/10) is less than 30 (from 3x10).

Therefore, 3x1/10 is indeed less than 3x10.

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8 meters per seconds simply implies covering a distance of 8 meters in 1 seconds. The situation describes speed. Therefore,

We will look for similar one in the options

The answer is 80 meters in 10 seconds.

Answer:

the last one

Step-by-step explanation:

when something asks for product it means multiplication

to get 2 times -5, you move first to -5 then to -10

Answer:

the answer is -1

Step-by-step explanation:

2-3=-1

2-1=1

-1x=1

x=-1

-1*-1=1

Answer:

If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency: a right triangle

Step-by-step explanation:

Answer:

42=7(x+5)

42=7x+35

42-35=7x

7=7x

X=7/7=1

To solve this equation for z, we can proceed as follows:

1. Subtract 19 from both sides of the equation:

2. Multiply by 4 to both sides of the equation (Multiplication property of equality):

Therefore, the value for z is equal to 84.

The efficiency of the power screw in raising the load is approximately 6976%.

The efficiency of a power screw can be calculated using the formula: Efficiency = (Ideal Mechanical Advantage / Actual Mechanical Advantage) x 100% To find the Ideal Mechanical Advantage (IMA) of the screw, we can use the formula:

IMA = (π / tan(α)) x (π / 2) x (D / P)

Where: π is the mathematical constant pi (approximately 3.14159) tan(α) is the coefficient of friction (given as 0.20) D is the major diameter of the screw (given as 19 mm) P is the pitch of the screw, which can be calculated as (25.4 mm / number of threads per inch) First, let's calculate the pitch: Number of threads per inch = 6

Pitch = 25.4 mm / 6 = 4.23 mm (approximately)

Now, we can substitute the values into the formula to find IMA:

IMA = (π / tan(α)) x (π / 2) x (19 mm / 4.23 mm)

Using the given coefficient of friction, we have:

IMA = (π / 0.20) x (π / 2) x (19 mm / 4.23 mm)

Simplifying the equation, we get:

IMA = 9.87 x 1.57 x 4.49

Calculating IMA, we find:

IMA ≈ 69.76

Now, we need to find the Actual Mechanical Advantage (AMA), which can be calculated using the formula:

AMA = Load / Effort

Where:

Load is the weight being lifted (given as 17.80 kN)

Effort is the force applied to turn the screw

Since the screw is being used to lift the load, the Effort is equal to the load.

AMA = 17.80 kin / 17.80 kin

AMA = 1

Now, we can calculate the efficiency using the formula:

Efficiency = (IMA / AMA) x 100%

Efficiency = (69.76 / 1) x 100%

Efficiency ≈ 6976%

The efficiency of the power screw in raising the load is approximately 6976%.

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Answer:

D

Step-by-step explanation:

I hope this helps you with your question :)

Answer:

d

Step-by-step explanation:

n - 10

Because you are trying to find 10 less than n, so you would want to subtract 10

Hope this Helps!!!

It takes Bill approximately 6.5 hours to clean the house alone. Since it takes Billy one hour longer, it takes him approximately 7.5 hours to clean alone.

Let's denote the time it takes Bill to clean the house alone as "x" hours. According to the given information, it takes Billy (the son) one hour longer to clean alone than it takes his dad. Therefore, it takes Billy "x + 1" hours to clean alone. When they work together, they can clean the house in 4 hours. We can set up the following equation based on their combined work rate:

1/x + 1/(x + 1) = 1/4

[(x + 1) + x] / (x * (x + 1)) = 1/4

(2x + 1) / (x * (x + 1)) = 1/4

Cross-multiplying, we have:

4(2x + 1) = x * (x + 1)

\(8x + 4 = x^2 + x\\x^2 - 7x - 4 = 0\)

Now we can solve this quadratic equation. Using the quadratic formula, we get:

x = (-(-7) ± √((-7)² - 4 * 1 * (-4))) / (2 * 1)

x = (7 ± √(49 + 16)) / 2

x = (7 ± √65) / 2

Since the time taken cannot be negative, we consider the positive root:

x = (7 + √65) / 2

≈ 6.5

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Answer:

Step-by-step explanation:

The required equation is Y=2.5Sin(5π ×x/3)

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here:  The graph with Amplitude= 2.5 and period = 5π/3

Thus writing it in the form Y=a sinbx we get

Y=2.5Sin(5π ×x/3)

Hence, The required equation is Y=2.5Sin(5π ×x/3)

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If the tire's radius is changed from 25 cm to 24 inches, the function representing the tire's rotation would require adjustment, incorporating the new radius in its equation. The graph would also change, displaying a slightly different shape and scale due to the alteration in units and resulting adjustments in the function.

When the tire's radius is changed from 25 cm to 24 inches, the function representing the tire's rotation would need to be modified. The original function, which might have been something like f(x) = 2π(25x), where x represents the number of rotations, would now need to incorporate the new radius. Using the conversion factor of 1 inch = 2.54 cm, the adjusted function would become f(x) = 2π(24x/2.54).

The graph representing the function would also be affected by this change. With the new radius, the graph would display a slightly different shape and scale compared to the original one. The x-axis, which represents the number of rotations, would remain the same, but the y-axis, representing the distance traveled, would be altered due to the change in units. The graph's curvature and overall appearance might be slightly different, reflecting the adjustment made to the function.

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We have to find the value of  `(sinθ+cosθ−tanθ)/(secθ+cscθ−cotθ)`

Let's find all trigonometric ratios:

We can say that:

\($$\tan \theta= \frac{opp}{adj}= \frac{-4}{3}$$$$\text\)

{Using the Pythagorean Theorem we can find the hypotenuse }

\($$$$\text{Hypotenuse = } \sqrt{(-4)^2+(3)^2}\)

\(= \sqrt{16+9}\)

= \(\sqrt{25}\)

=\(5$$$$\)

Substituting the values of sinθ, cosθ and tanθ in `

\(= \frac{\frac{3}{5} + \frac{-4}{5} - \frac{-4}{3}}{\frac{-4}{5} + \frac{5}{3} - \frac{-3}{4}}$$$$\)

\(=\frac{\frac{9}{15} + \frac{-12}{15} + \frac{20}{15}}{\frac{-16}{20} + \frac{25}{12} + \frac{3}{4}}$$$$\)

\(=\frac{\frac{17}{15}}{\frac{-14}{15}}$$$$\)

\(=-\frac{17}{14}$$\)

Therefore, \(`(sinθ+cosθ−tanθ)/(secθ+cscθ−cotθ)\)` is equal to

`-17/14` when `tanθ=−43` (Quadrant II).

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Answer:

Step-by-step explanation:

h(5) = 5 - 7 = -2

g(-2) = (-2)^2 = 4

Answer:

35.36

Step-by-step explanation:

HOPE THIS HELPS

Answer:

208

Step-by-step explanation:

the formula is:

2*(width*lenght+height*lenght+height*width)

2*(6*8+4*8+4*6)

208

Answer:

\( \: \)

Step-by-step explanation:

In the given figure, it is given a net of cuboid where, the length is 8m, the breadth is 6m and the height is 4m and we have to find the surface area of the cuboid.

So, the formula for finding the surface area is ;

\(\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: Surface\: area_{(cuboid)}=2(lb + bh + lh )}}}}}} \: \: \bigstar \\ \\\)

Now, we'll substitute the values in the formula :

\(\\{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(8.6 + 6.4 + 8.4 }}}}}}) \: \: \\ \\\)

\({ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(48 + 24 + 32 }}}}}}) \: \: \\ \\\)

\({ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(104 }}}}}}) \: \: \\ \\\)

\({ \longrightarrow \qquad{ { \pmb{ \frak{ { \: Surface\: area_{(cuboid)}=208 }}}}}}\: \: \\ \\\)

Therefore,