Danny Completed 40% of his homework assignment his assignment contain 30 math problems how many problems does Danny’s still need to complete

whole numbers, plus their counterparts less than zero, and zero

Negative integers(less than 0) being: –1, –2, –3 exc.

Positive integers(more than 0) being: 1, 2, 3 exc.

Answer:

Integers are whole numbers like -3, -2, -1, 1, 2, 3, 4. They can't be fractions or decimals though

Answer:

33

Step-by-step explanation:

each upper cell is the sum of the two cells under it. For example 4 and 5 make 9 so 16+17=33

Answer:

the volume of the square pyramid is 2430 cubic cm

Answer:

1296 cm³

Step-by-step explanation:

V = a² x [√s²- (a/2)²] / 3

a = 18 cm

s = 15 cm

V = 18² x [√15²-(18/2)²] / 3 = 18² x [√225-81] / 3

V = 324 x (√144/3) = 1296 cm³

Answer:0.03125

Step-by-step explanation:

GOO*OOGLE

Step-by-step explanation:

(1/2)^5   = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 =   1/32

Answer:

Step-by-step explanation:

you multiply 8*3 to get 24 so you do the same to 5. so 5*3 = 15 so 15/24

The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Slope = (40 - 10)/(2 - 1)

Slope = 30/1

Slope = 30

Slope = (160 - 40)/(3 - 2)

Slope = 120/1

Slope = 120.

Factor = 40/10 = 4

Factor = 160/40 = 4

Factor = 640/160 = 4.

Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.

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A.

1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.

2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.

3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.

4. Mode: No mode. Median: 17. Mean: 18. Range: 28.

5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.

6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.

B.

7. Mode: 4.3. Median: 4.2. Range: 2.1.

8. Mode: 18.6. Median: 18.6. Range: 0.8.

C.

9. Mode: No mode. Median: 4/9.

10. Mode: No mode. Median: 5/24.

The scale factor is 7:2, the perimeter ratio is 7:2, and the area ratio is 49:4.

Scale Factor:

The scale factor represents the ratio of corresponding lengths in similar figures.

In this case, the scale factor is given as 7:2.

Perimeter Ratio:

The perimeter ratio of two similar figures is equal to the ratio of their corresponding perimeters.

Since the scale factor is 7:2, the perimeter ratio will also be 7:2.

This means that the ratio of the perimeters of the first figure to the second figure is 7:2.

Area Ratio:

The area ratio of two similar figures is equal to the square of the scale factor. In this case, the scale factor is 7:2.

Thus, the area ratio will be (7/2)² = 49/4.

This indicates that the ratio of the areas of the first figure to the second figure is 49:4.

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Answer:

$7.33

Step-by-step explanation:

22=3/4x

22/.75=22*4/3=29.3333333

$29.33-$22=$7.33

A discounted from the original price of the Blu-ray disc will be $5.5.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

Cost of a Blu-ray disc = $22

The sale on the cost of a Blu- ray = 25%

Now,

Find the discounted price of a Blu-ray as;

Discounted price = 25% of $22

                           = 25 x $22 / 100

                           = $550/100

                           = $5.5

Thus, A discounted from the original price of the Blu-ray disc will be $5.5.

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Answer:

its cap

Step-by-step explanation:

Answer:

66in²

Step-by-step explanation:

If we assume the rectangle is made out of two identical trapezoids, as the question suggests, well then we know that the length of the triangle is equal to the sum of the length of the top and the bottom of the trapezoid:

Length(rectangle)=3+8=11

Width(rectangle)=6

Area(Rectangle)=length*width=11*6=66in²

Answer:

47 minutes

Step-by-step explanation:

In elapsed time, it's better to make your problem more readable so it's easier to solve. Add 2 minutes into 10:28 so it turns into 10:30. Then add 30 minutes so it turns into 11:00 AM. Finally, add 15 minutes so it turns into the 11:15 you were looking for. When you combine the minutes allotted (2, 30, and 15) you get 47 minutes.

The solution to the equation 3x = 8 - 2x is x = 1.6.

To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:

Express the equation in the form of y = f(x). Rearrange the equation:

3x + 2x = 8

5x = 8

x = 8/5 or 1.6

Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.

Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.

The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).

Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.

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(1) The value of x is determined as 16.8.

(2) The measure of length VX is calculated as 4.1.

(3) The measure of angle UWV is 69.5⁰.

The value of the missing lengths of the triangle is calculated by applying the following formula;

(1) For the two similar triangles, the value of x is calculated as follows;

20 / (28 - x) = 30 / x

20x = 30 (28 - x )

20x = 840 - 30x

20x + 30x = 840

50x = 840

x = 840 / 50

x = 16.8

(2) The measure of length VX is calculated by applying trig ratios.

tan 63 = 8 / VX

VX = 8 / tan 63

VX = 4.1

(3) The measure of angle UWV is calculated as follows;

angle T = 360 - (94 + 127) = 139

angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)

angle UWV = 69.5⁰

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Answer:

4.75 hour

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

f(4) means to use 4 in place of x.

f(x) = 3(5)^(x-2)

fill in 4 for

f(4) = 3(5)^(4-2)

do the 4-2 subtraction first

f(4) = 3(5)^2

do the 5 to the 2nd power next.

f(4) = 3(25)

last, multiply.

f(4) = 75

This is just following the typical order of operations.

Answer:

Step-by-step explanation:

In the first mixture the concentration syrup is higher

Concentration syrup is higher in mixture B.

Two or more ratios made to be equal to each other is termed as proportion.

We have to use the proportional concept here by finding the concentration of syrup in 1 l of water.

Mixture A:

Concentration of syrup in 3 l of water = 2 l

Concentration of syrup in 1 l of water = 2/3 l = 0.67 l

Mixture B :

Concentration of syrup in 2.5 l of water = 1.8 l

Concentration of syrup in 1 l of water = 1.8 / 2.5 = 0.72 l

Concentration of syrup in mixture A in 1 liter of water is less than the concentration of syrup in mixture B in 1 liter of water.

Hence the concentration of syrup in mixture B is higher because concentration of syrup in mixture B in 1 liter of water is higher than the concentration of syrup in mixture A in 1 liter of water.

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The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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In the given right angle, the required value of x is 10° respectively.

Right-angled shapes can be any polygon, ranging from triangles to figures with numerous sides.

Right-angled shapes like squares and rectangles have exactly 4 right angles that add up to 360 degrees.

Right angles can also be found in other shapes like trapezoids, pentagons, and hexagons.

An angle with a measure of exactly 90 degrees (or /2) is referred to as a right angle.

The proper angles are frequently demonstrated in everyday life. For instance, the edges of the cardboard or the corner of a book.

So, we know that the given angles together make a right angle as:

2x + 8 + 62 = 90

Then, solve for x as follows:

2x + 8 + 62 = 90

2x + 70 = 90

2x = 90 - 70

2x = 20

x = 20/2

x = 10

Therefore, in the given right angle, the required value of x is 10° respectively.

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The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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x = 20

Hi there !

we have opposite angles =>

2 + 3x = 62

3x = 62 - 2

3x = 60

x = 60 : 3

x = 20

Good luck !

Answer:

\(4.\ \sin E = \cos G\)

Step-by-step explanation:

Given

\(\triangle EFG\)

\(\angle F = 90^o\) --- right angle

Required

Which of the options is true

In a triangle, we have:

\(\angle E + \angle F + \angle G = 180^o\) --- angles in a triangle

Substitute \(\angle F = 90^o\)

\(\angle E + 90^o + \angle G = 180^o\)

Collect like terms

\(\angle E + \angle G = 180^o -90^o\)

\(\angle E + \angle G =90^o\)

This implies that E and G are complementary angles.

For complementary angles, E and G;

\(\sin E = \cos G\) and \(\sin G = \cos E\)

Hence, (4) is true

Answer:

-10.4 is the answer from my side

Answer:

51 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees. This means we can write an equation, where a represents the measure of the acute angle (which we need to find the larger one) and a + 12 is the measure of the larger angle.

a+(a+12)=90

2a+12=90

2a=78

a=39

Now add 12 to a to find the value of the larger angle.

39+12= 51

So the larger angle equals 51 degrees.

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Answer:

Ingredient | 4 servings | 2 servings | 8 servings

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

flour (c)      |        1          |       1/2       |        2          

sugar (c)    |       3/4       |       3/8      |       3/2                

butter (T)   |        1          |       1/2       |        2          

salt (t)        |        1/4       |       1/8       |        1/2  

Step-by-step explanation:

4 servings:

1 c flour

3/4 c sugar

1 T butter

1/4 t salt

2 serving = 4 servings / 2 =

1 c flour/2 = 1/2 c flour

3/4 c sugar/2 = 3/8 c sugar

1 T butter/2 = 1/2 T butter

1/4 t salt/2 = 1/8 t salt

8 servings = 4 servings * 2 =

1 c flour * 2 = 2 c flour

3/4 c sugar * 2 = (3*2)/4 = 3/2 c sugar

1 T butter * 2 = 2 T butter

1/4 t salt * 2 = 2/4 = 1/2 t salt

Table:

Ingredient | 4 servings | 2 servings | 8 servings

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

flour (c)      |        1          |       1/2       |        2          

sugar (c)    |       3/4       |       3/8      |       3/2                

butter (T)   |        1          |       1/2       |        2          

salt (t)        |        1/4       |       1/8       |        1/2          

Answer:

x = -1, x = 9, x = -3, x = 2, and x = 1.

Step-by-step explanation:

To find this, set up each equation in x + # = 0. Example: x + 1 = 0. To solve this, you would subtract one from both sides. The equation would then be x = -1.

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Answer:

True

Step-by-step explanation:

The expression for the variable b in terms of a, S, and n in the formula for the sum of an arithmetic sequence is; b = (2·S/n) - a

An arithmetic sequence is a sequence of numbers in which each subsequent term in the sequence increases from the value of the previous term by the same amount.

The formula for finding the finite sum of an arithmetic sequence can be presented as follows; S = (n/2)·(a + b), where;

n = The number of terms in the sequence

a = The first term in td sequence

b = The last term in the sequence

The steps that can be used to make the variable b the subject of the equation, are;

S = (n/2)·(a + b)

a + b = 2·S/n

b = 2·S/n - a

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The graph of the linear equation y = 5x - 2 from -3 to +3 is a line passing through (-3, -17) through (0, -2) to (3, 13).

Given linear equation is,

y = 5x - 2

We have to draw the graph of the line from -3 to +3.

When x = -3,

y = (5 × -3) - 2 = -15 - 2 = -17

When x = 0,

y = (5 × 0) - 2 = 0 - 2 = -2

When x = 3,

y = (5 × 3) - 2 = 15 - 2 = 13

So the graph is a line passing through (-3, -17) through (0, -2) to (3, 13).

Hence the graph is given below.

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