Use the graph to answer the question.

6 meters is the slant height of the square pyramid.

The formula for a square pyramid's surface area may be used to calculate the slant height:

Surface area = base area + (0.5 x perimeter x slant height)

In this instance, we are aware that the base's side length is 5 meters, and the surface area is 85 square meters.

The base area is equal to (side length)2, or the area of a square, hence the base area is:

The base area = 5², or 25 square meters.

In addition, we can calculate the base's perimeter by multiplying the side length by four:

Perimeter: (4 * 5) = 20 metres

We can now enter the variables we already know into the algorithm to find the slant height:

85 = 25 + (0.5 x 20 x slant height)

60 = 10 x slant height

slant height = 6 meters

Therefore, the slant height of the square pyramid is 6 meters.

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Answer:

1.125 gallons of broth

Step-by-step explanation:

We Know

A chef makes 9 pints of mushroom broth to use in vegan ramen.

How many gallons of broth does the chef make?

Let's solve

1 pint = 0.125 gallon

9 pints = 0.125 x 9 = 1.125 gallons

So, the chef made 1.125 gallons of broth.

The length of the straight line calculated between school and the fire station is equal to  4.6 miles ( nearest tenth ).

Location of town hall is 4.3 miles directly east of the middle school.

Location of fire station is 1.7 miles directly north of town hall.

To find the length of the straight line between the school and the fire station,

Apply the Pythagorean theorem,

Which states that in a right triangle the square of the length of the hypotenuse the longest side is equal to the sum of the squares of the lengths of the other two sides.

In this case, the distance between the school and Town Hall, and the distance between Town Hall and the fire station form a right triangle,

So, we can calculate the length of the hypotenuse as,

√(4.3² + 1.7²)

≈ √(18.49 + 2.89)

≈ √21.38

≈ 4.62

≈ 4.6 miles ( Rounding to the nearest tenth)

Therefore, the length of the straight line between the school and the fire station is approximately 4.6 miles.

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The above question is incomplete, the complete question is:

Town Hall is located 4.3 miles directly east of the middle school. The fire station is located 1.7 miles directly north of Town Hall. What is the length of a straight line between the school and the fire station? Round to the nearest tenth.

The large-sample z statistic is 1.923. Based on this result, we reject the null hypothesis and conclude that there is evidence to suggest that a majority of people prefer the taste of fresh-brewed coffee over instant coffee.

To test the claim that a majority of people prefer fresh-brewed coffee, we need to set up the null and alternative hypotheses:

Null hypothesis: p ≤ 0.5 (i.e., the proportion of people who prefer fresh-brewed coffee is less than or equal to 0.5)

Alternative hypothesis: p > 0.5 (i.e., the proportion of people who prefer fresh-brewed coffee is greater than 0.5)

We will use a one-tailed test with a significance level of α = 0.05.

To calculate the large-sample z statistic, we first need to calculate the sample proportion of people who prefer fresh-brewed coffee

P = (60 - 21) / 60 = 0.65

where 60 is the total number of subjects and 21 is the number who prefer instant coffee.

Next, we need to calculate the standard error of the sample proportion:

SE = sqrt(P(1-P)/n) = sqrt(0.65(1-0.65)/60) = 0.078

where n is the sample size.

Finally, we can calculate the z statistic:

z = (P - p) / SE = (0.65 - 0.5) / 0.078 = 1.923

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The given question is incomplete, the complete question is:

A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers. Of the 60 subjects who participate in the study, 21 prefer the instant coffee. Let p be the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee. (In practical terms, p is the proportion of the population who prefer fresh-brewed coffee.)

Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the large-sample z statistic

For a colony of 129,800 bacteria ( intital population) doubles in size every 278 hours, the population be 1,112 hours from now is equals to the 2,076,799.99568.

We have time periods of change in population of a bacteria. The initial population of bacteria, A₀ = 129,800

Time after that the size of bacteria become doubled = every 278 hours

We have to population be 1,112 hours from now. Use the formula of exponential growth function, [tex]A = A_0 e^{rt}[/tex]

where A₀--> the initial population

Here, [tex]A_0 = 129,800[/tex], First we calculate the rate value, r : [tex]2× 129800 = 129800 e^{r × 278} [/tex]

=>[tex] 2 = e^{r × 278} [/tex]

taking logarithm both sides

=>[tex] ln(2) = ln( e^{r × 278} )[/tex]

= > ln(2) = r × 278

=> [tex]r =\frac{ ln(2)}{278}[/tex]

=> r = 0.00249333518

So, r= 0.00249333518 hours ; t = 1,112 hrs.

Substitute all known values in above formula, [tex]A = 129,800 e^{0.00249333518 ×1,112 }[/tex]

A = 2,076,799.99568

Hence, required value is 2,076,799.99568.

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The correct appropriate measure of variability for the data shown is,

⇒ The range is the best measure of variability and equals 10.

Given that;

The length of ribbons found at a seamstress are listed.

⇒ 2, 5, 8, 10, 11, 12

Hence, We get;\

The range is calculated by subtracting the smallest data point from the largest data point, which in this case is,

⇒ 12 - 2

⇒ 10.

Hence, The range is the best measure of variability for the given data, and its value is, 10.

While the mean and median are measures of central tendency that describe the average or typical value of the data, they do not provide information about the spread of the data.

The IQR (interquartile range) is also a measure of variability, but it is better used when dealing with skewed data.

Since the data in this case is not skewed, the range would be the most appropriate measure of variability.

Thus, The correct appropriate measure of variability for the data shown is,

⇒ The range is the best measure of variability and equals 10.

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The slope of the line containing the points (6,2) and (24,8) is equal to 1/3.

To find the slope of a line containing two points, we use the slope formula, which is:

slope = (y₂ - y₁) / (x₂ - x₁)

Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Plugging in the values given in the problem, we get:

slope = (8 - 2) / (24 - 6)

slope = 6 / 18

To simplify the fraction, we can divide both the numerator and denominator by the greatest common factor (GCF) of 6 and 18, which is 6:

slope = (6 / 6) / (18 / 6)

slope = 1 / 3

The slope of a line represents the rate at which the line is changing in the vertical direction (y-axis) for every unit of change in the horizontal direction (x-axis). In this case, the slope of 1/3 means that for every increase of 1 unit in x, the line increases by 1/3 unit in y. Similarly, for every decrease of 1 unit in x, the line decreases by 1/3 unit in y.

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The depth of a tsunami with speed of 10 m/s is given as follows:

d = 100/9 m.

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The speed function for this problem is defined as follows:

[tex]s = 3\sqrt{d}[/tex]

In which d is the depth.

We have that the speed is of 10 m/s, hence the depth is obtained as follows:

10 = 3sqrt(d)

sqrt(d) = 10/3

[sqrt(d)]² = (10/3)²

d = 100/9 m.

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Answer:

The bar that represents the tallest frequency will be the one with the highest value. Therefore, in this case, the tallest bar will be the one that represents a frequency of 20, as option C states.

The value of the goods sold by Nadine Ntwiga [tex]ksh 200000[/tex].

Let the letter x be the value of the goods sold that month above ksh 80000.

The value of the goods sold below ksh 80000 is represented by [tex]80000 - x[/tex].

The commission earned from the first ksh 80000 is:

= (2/100) * 80000

= 1600.

The commission earned from the goods sold above ksh 80000 is:

(3/100) * x.

So, the total commission earned is 1600 + (3/100) * x.

Given that total amount earned by Nadine is ksh 20000, we will write the equation:

12400 + 1600 + (3/100) * x = 20000

(3/100) * x = 6000

x= 6000 / 0.03

x = 200000.

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Answer:

She should buy the coat and pay for shipping

Step-by-step explanation:

Set up a proportion to express the the 80 pounds to yen.

[tex]\frac{2}{292.82}[/tex] = [tex]\frac{80}{x}[/tex]

2 x 40 = 80

292.82 x 40 = 11,712.80

230.50 + 25.30 = 255.8

255.80 < 11,712.80

Helping in the name of Jesus.

The value of the surface area of this prism is, 324 cm²

Now,

The first step is to find the area of the top and bottom faces of the prism.

Since, The base of the prism is a 6 by 6 rectangle with a 3 by 3 square removed from the corner,

so the area of each of the two bases is:

(6 x 6) - (3 x 3) = 36 - 9 = 27 square centimeters.

The next step is to find the area of the four side faces of the prism. Since the prism is rectangular, the area of each of the four side faces is:

6 x 9 = 54 square centimeters.

Therefore, the total surface area of the prism is:

SA = 2 x (27 square centimeters) + 4 x (54 square centimeters)

   = 108 + 216 = 324 square centimeters.

So, the surface area of the prism is 324 square centimeters.

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Answer:

136

Step-by-step explanation:

triangle:

½ × base × height

(½ x 4 x 3) --> 12 x 2 (the other side) = 24

Rectangle 1:

base x height

(7 x 3) --> 21 x 2 = 42

Rectangle 2:

base x height

(5 x7) --> 35 x 2 = 70

24+42+70=

136

Answer:

24

Step-by-step explanation:

It cant be rectangle since it is 6 feet wide and 6 feet high. it became a squre. the perimeter is

6+6+6+6 = 24

Answer:

2pi

Step-by-step explanation:

Since the central angle is 360°, the arc in question here is the whole entire circle. It is the circumference. The circumference of a circle is:

C = pi•d

The radius is 1 unit. So the diameter is 2 units.

C = pi•2

C = 2pi

360° is the whole circle, so the arc is the whole circle. It is the circumference, 2pi

The possible width of Kari's garden bed is less than or equal to 4 feet.

We have,

Let's assume the width of the garden bed to be x feet.

To create a rectangular garden bed with a length of 6 feet, we need two sides of length 6 feet and two sides of length x feet.

Since Kari has only 20 feet of boards to make the sides, we can write an inequality as:

2(6) + 2x ≤ 20

Simplifying this expression, we get:

12 + 2x ≤ 20

Subtracting 12 from both sides, we get:

2x ≤ 8

Dividing both sides by 2, we get:

x ≤ 4

Therefore,

The possible width of Kari's garden bed is less than or equal to 4 feet.

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Using translation concepts, the equation of F(x) is -3(x + 1)² - 4.

WE know that the translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The effect of the transformations on G(x) = x² is given :

Reflection over the x-axis:

F(x) = -G(x) = -x².

Vertical stretch by a factor of 3 then we get;

F(x) = -3G(x) = -3x².

Then Shift down of 4 units:

F(x) = -3G(x) - 4 = -3x² - 4.

Shift left of 1 units:

F(x) = -3G(x + 1) - 4 = -3(x + 1)² - 4.

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The values of y When x = -2, 0 and 2 are:

At x = -2, y = -12

At x = 0, y = -8

At x = 2, y = -4

The general form of the equation of a straight line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

Let us rewrite the given equation in slope intercept form to get:

y = 2x - 8

Thus, from the table, we want to find y when x = -2, 0 and 2

When x = -2, we have:

y = 2(-2) - 8

y = -12

When x = 0, we have:

y = 2(0) - 8

y = -8

When x = 2, we have:

y = 2(2) - 8

y = -4

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Answer:

w≤−6

Step-by-step explanation:

Yur welcome :)

Answer:

w is less than or equal to -6.

Step-by-step explanation:

Answer: 6 units^2

Step-by-step explanation:

Formula for area of a triangle: (B)(H)(1/2)

Base: 4

Height: 3

Substitute the numbers:

(4)(3)(1/2)

12(1/2)

6

6 units squared

Answer: are there any other pictures or other ways to word it?

Answer:

100 tower = 12 foot shadow

1foot shadow = 100÷12= 8.33 foot

Step-by-step explanation:

height of 25foot buiding shadow = 8.33×25= 208.33foot

The answer is 13 story building is higher than tower.

Answer:

The correct answer is: Reflect the parent function over the x-axis, and translate it 8 units up.

The parent function of h(x) is the square root function f(x) = √x. The transformation of h(x) includes a reflection over the x-axis, a vertical shift 8 units up, and a reflection over the y-axis. The order of these transformations matters, so we can simplify the process by reversing the order and applying the transformations one by one.

First, reflect the parent function over the y-axis:

g(x) = -f(x) = -√x

Next, shift the graph 8 units up:

h(x) = g(x) + 8 = -√x + 8

Therefore, the answer is: Reflect the parent function over the x-axis, and translate it 8 units up.

Step-by-step explanation: yes

Due to availability of evidence we support the claim that the bags are underfilled, therefore we reject the null hypothesis, under the condition bag filling machine works correctly at the 443.0 gram setting.

The null hypothesis is that the bags are considered not underfilled and the other alternative hypothesis is that the bags are underfilled.

The level of significance is 0.05 which means that we have  to reject the null hypothesis if the p-value  < 0.05.
Given,
The sample size is 48 and the sample mean is 439 grams. Standard deviation = 25 grams.
The test statistic is evaluated
Z = (x'- μ) / (σ / √n)

Here,
x' = sample mean,
μ = hypothesized population mean,
σ = population standard deviation,
n = sample size.

Staging the values we get:

Z = (439 - 443) / (25 / √48)
= -2.45

The p-value can be calculated applying a Z-table.
Z = -2.45 is approximately 0.0071.

Since the p-value (0.0071) is less than the level of significance (0.05), we reject the null hypothesis.

Hence, there is enough proof to support the fact that the bags are underfilled.

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Answer:

Since the sum of angles in a triangle is 180 degrees, the third angle in the right triangle must be 90 degrees. Therefore, the other acute angle can be found by subtracting 77 degrees from 90 degrees:

90° - 77° = 13°

So the measure of the other acute angle is 13 degrees.

Step-by-step explanation:

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The value side of the trapezoid that is x = 33ft.

The trapezoid is fascinating since it is defined by your geographical location. draw a trapezium for you while on an exchange trip to the United Kingdom, they will draw it as a trapezium. In some parts of the world, a trapezium is also known as a trapezium, and it is a form of quadrilateral having one pair of opposite sides that are parallel to each other.

To find the value x, take the side of the trapezoid into the proportion.

[tex]\frac{40.5}{x} = \frac{54}{44}[/tex]

Therefore x = [tex]\frac{40.5 * 44}{54}[/tex]

x = 33 ft.

Therefore the value of x is 33 ft.

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Answer:

576 boxes needed for each week

Step-by-step explanation:

h= hours

b= bolts

d= days

1h= 48b

72h =3456b

72h x 5d= 360h

360h x 48b= 17, 280b

17, 280b / 30b= 576

If each box holds 30 bolts, we need 576 boxes each week to fit all 17, 280 bolts.

When a plane intersects a double-napped cone only at the cone's vertex, the degenerate conic section that is formed is called a point.

In this case, the plane does not cut through the cone's surface, so it does not create any other conic sections such as an ellipse, parabola, or hyperbola. The intersection is simply the single point at the vertex of the cone. A double-napped cone is a 3-dimensional geometric shape that looks like two cones joined at their bases, pointing in opposite directions. When a plane intersects a double-napped cone, it can create various types of conic sections, such as circles, ellipses, parabolas, or hyperbolas, depending on the angle and position of the plane relative to the cone.

However, if the plane intersects the cone only at the vertex, which is the point where the two cones meet, then the resulting conic section is a degenerate one, specifically a point. This is because the plane cuts through both cones at their narrowest point, where they converge to a single point, and does not intersect any other part of the cones. Therefore, the intersection between the plane and the double-napped cone is just a single point, which is the degenerate conic section formed in this case.

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Complete question:

A plane intersects a double-napped cone only at the cone's vertex. Which terms describe the degenerate conic section that is formed?

Select each correct answer.

Answer:

Step-by-step explanation:

The volume of the iron rod can be calculated using the formula for the volume of a cylinder:

V = πr^2h

where r is the radius of the cylinder, which is half of the diameter. Therefore, the radius of the iron rod is 3.5/2 = 1.75 cm.

Substituting the given values, we get:

V = π(1.75)^2(5.5)

V = 68.728 cm^3

The density of the iron rod can be calculated using the formula:

density = mass / volume

Substituting the given values, we get:

density = 41.82 kg / 68.728 cm^3

We need to convert kg to g and cm^3 to cm^3, so we multiply by 1000/1 and 1/1, respectively:

density = (41.82 kg / 68.728 cm^3) x (1000 g / 1 kg) x (1 cm^3 / 1 cm^3)

density = 610.34 g/cm^3

Therefore, the density of the iron rod is 610.34 g/cm^3 (to two decimal places).

The best measure of the center for this data is the median, and its value is 6.5.

We must take the data distribution into account in order to get the optimum centre measure for this data. With more data points above 6 and 7 than below, the line plot demonstrates that the data is not symmetrical.

Because it is unaffected by the extreme values in the dataset, the median is the best indicator of the centre in this situation.

The median, which in this example ranges between 6 and 7, is the dataset's middle value when it is ordered in order. Given that there are an equal number of data points, the median is determined by taking the average of the two middle values. This value is 6.5.

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