Find the perimeter of the
triangle.
7 in.
(4x + 1) in.
(x + 4) in.

To find the volume of the composite figure, we first need to break it down into simpler shapes. We can see that the composite figure is made up of a rectangular prism and a triangular prism.

The rectangular prism has a length of 6 cm, a width of 4 cm, and a height of 7 cm. Therefore, its volume is:

Volume of rectangular prism = length x width x height = 6 cm x 4 cm x 7 cm = 168 cubic cm

The triangular prism has a base of 3 cm, a height of 8 cm, and a length of 10 cm. Therefore, its volume is:

Volume of triangular prism = (1/2) x base x height x length = (1/2) x 3 cm x 8 cm x 10 cm = 120 cubic cm

To find the volume of the composite figure, we add the volumes of the rectangular prism and the triangular prism:

Volume of composite figure = Volume of rectangular prism + Volume of triangular prism = 168 cubic cm + 120 cubic cm = 288 cubic cm

Therefore, the volume of the composite figure is 288 cubic centimeters.

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Answer:

500π m^3

Step-by-step explanation:

The question is not complete

Cylinders are described with dimensions as

Diameter and Height

Say the diameter is

D= 10m

and Height is

H=20

Hence the radius is

R= D/2= 10/2= 5 m

Therefore the volume is gotten as

V= πr^2h

V= π*5^2* 20

V=  π*25*20

V= 500π m^3

Hence the volume is  500π m^3

Answer:

Step-by-step explanation:

Answer:

not geometric because of the 4 at the beginning

Answer:

Step-by-step explanation:

We can observe the difference of terms is constant:

The sequence is arithmetic, not geometric.

Answer:

(-♾, ♾)

Step-by-step explanation:

A quadratic can accept any real x value. So the domain is All Real Numbers. This in interval notation is

(-♾, ♾)

This is read as negative infinity to positive infinity

The implied domain of g(x) = -2x² + 1 is (-∞, +∞), indicating that the function is defined for all real values of x.

To determine the implied domain of the function g(x) = -2x² + 1, we need to identify the set of all possible values for x that make the function defined and meaningful.

In this case, since the function is a quadratic polynomial, there are no restrictions on the input values of x. The function is defined for all real numbers.

Therefore, the implied domain of the function g(x) = -2x² + 1 is the set of all real numbers, which can be expressed in interval notation as (-∞, +∞).

This interval notation indicates that there are no specific limitations or exclusions on the values of x for the function. It includes all real numbers from negative infinity to positive infinity.

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Answer:

1.25

Step-by-step explanation:

type in your calculator:

-1.5+2.75 OR 2.75-1.5

you should get the same answer

Answer:

1.25(my last answer was deleted somehow)

Step-by-step explanation:

2.75-1.5=1.25

Answer:

(4,2), I think

Step-by-step explanation:

Use the midpoint formula for this question (x1+x2/2, y1+y2/2). In this case, x1 would be 3 and x2 would be 5. 3+5=8, and 8/2 is 4. Similarly, y1 would be 6 and y2 would be -2. 6+(-2)=4, and 4/2= 2. So, the midpoint would be (4,2)

Here we want to find the midpoint of a segment that joins (3, 6) and (5, -2).

The midpoint is: (4, 2)

For two general points (x₁, y₁) and (x₂, y₂) the midpoint of the segment that joins these two points is:

\((\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} )\)

Here we have the points (3, 6) and (5, -2), using the above formula we get:

\((\frac{3 + 5}{2} , \frac{6 + (-2)}{2} ) = (\frac{8}{2} , \frac{4}{2} ) = (4, 2)\)

Concluding, the midpoint of the segment that joins (3, 6) and (5, -2) is (4, 2)

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Answer:

x^2 -144

Step-by-step explanation:

Answer: False

Step-by-step explanation:

The base is more than 1, so the function is increasing.

If the perimeters are the same. Then the dimension of the triangle will be 5, 5, and 6.

The peripheral of a form is defined in mathematics as the entire length of its boundaries. The surrounding of a form is calculated by summing the lengths of all the vertices and edges that surround it. It is measured in linear quantities like cm, meters, inches, and feet.

Let 'x' be the isosceles sides and the 'y' be the third side. Then the equation is given as,

x + x + y = 4 × 4

2x + y = 16

2x + y = 2(5) + 6

Then the dimension of the triangle will be 5, 5, and 6.

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Answer:

AB || CE, so we have triangle DEO, two of whose angles are 100° and 26° (from point D, draw DE such that CD + DE = CE intersects BO). The third angle of this triangle measures 54°, so

x = 180° - 54° = 126°.

Answer:

on desmos

Step-by-step explanation:

Answer:

8.50667 or approximately 8.51 feet per second

Step-by-step explanation:

The most approximate way to get the feet per second is to multiply the miles per hour by 1.467.

Answer:

C

Step-by-step explanation:

Domain is what x values are allowed in a function

The general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. This is False.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

After a performing a test, scientists can reject the null hypothesis meaning there is a definite, consequential relationship between the two phenomena

In this case, the convention is to accept a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.

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Answer:

y = 2x - 3

Step-by-step explanation:

Therefore, the system of equations that can be used to model this situation is h= 5 + 24t -16t^2.

The equations that were given in the system above are :

h = 18 + 1.5t

h = 5 + 24t - 16t^2

Note that:

The rate of Speed = distance divided by time

Since Speed = 1.5ft/s

Distance = 18ft

To know the time which was not given, the equation will be:

1.5ft/s = 18ft/t

1.5t=18

The equation to know height h= 18 + 1.5t

Since Graham moved another 5ft  along with a velocity of 24ft/s

Therefore, the system of equations that can be used to model this situation is h= 5 + 24t -16t^2 and as such, option A is correct.

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Answer:

so its A

Step-by-step explanation:

edge 2023

Answer:

Step-by-step explanation:

Answer:

the answer is 7<x<10

Step-by-step explanation:

hope dis helped

Answer:

D; 16 seconds

Step-by-step explanation:

speed = distance/time

speed = 90 km/hr

We need to convert this to m/s because the tunnel is in meters and the time is in seconds:

\(\frac{90km}{hr} * \frac{1hr}{3600s} *\frac{1000m}{1km} =25m/s\)

distance = 300 m (tunnel) + 100 m (train) = 400 meters

Solving for time:

\(25m/s=\frac{400m}{t} \\(25m/s)(t)=400m\\t=\frac{400m}{25m/s} \\t=16 s\)

91% confidence interval of true proportion of workers who belong to a union is between 22.71% and 29.29%.

The formula for a proportion's confidence interval is: p z* (p(1-p) / n) where: P is the sample proportion (p = sample size / number of unionised employees).

z is the z-score that corresponds to the desired level of confidence; for example, a 91% confidence level corresponds to a z-score of roughly 1.645.

The sample size is n.

Therefore, the sample proportion for the given case is p = 26% = 0.26, and the sample size is n = 434.

We obtain the following numbers by substituting them in the formula: 0.26 1.645 * (0.26 * 0.74 / 434)

figuring out the standard error

√(0.26 * 0.74 / 434) = 0.0199

Therefore, 0.26 1.645 * 0.0199 = 0.26 0.0329 represents the 91% confidence interval.

Therefore, 0.26 - 0.0329 = 0.2271 are the lower and upper boundaries of the 91% confidence interval.

0.26 + 0.0329 = 0.2929

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The simplified Cartesian equation for the given parametric equations is y = 3x + 4.

To eliminate the parameter t and find the simplified Cartesian equation of the form y = mx + b, we need to express x and y in terms of each other.

Given parametric equations:

x(t) = 4 - t

y(t) = 16 - 3t

To eliminate t, we can solve one of the equations for t and substitute it into the other equation.

From the equation x(t) = 4 - t, we can isolate t:

t = 4 - x

Now substitute this value of t into the equation y(t):

y = 16 - 3(4 - x)

Simplifying:

y = 16 - 12 + 3x

y = 4 + 3x

The Cartesian equation in the form y = mx + b is:

y = 3x + 4

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(9) 20⁰ in Quadrant II: the reference angle is 160⁰.

(10) 40⁰ in Quadrant IV: the reference angle is 40⁰.

(11) 28⁰ in Quadrant III: the reference angle is 152⁰.

In standard position, a reference angle is the acute angle between the terminal side of an angle and the x-axis.

To find the measure of a reference angle, we use the following formulas:

Using these formulas, we can find the measures of the reference angles for the given angles as follows:

(9) 20⁰ in Quadrant II:

Since the angle is in Quadrant II, we need to find its supplement to determine the reference angle. The supplement of 20 degrees is 180 - 20 = 160 degrees. Therefore, the reference angle is 160 degrees.

(10) 40⁰ in Quadrant IV:

Since the angle is in Quadrant IV, the reference angle is equal to the angle itself. Therefore, the reference angle is 40 degrees.

(11) 28⁰ in Quadrant III:

Since the angle is in Quadrant III, we need to find its supplement to determine the reference angle.

The supplement of 28 degrees is 180 - 28 = 152 degrees. Therefore, the reference angle is 152 degrees.

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Answer: just add givento number 1 and your all done bro

Step-by-step explanation:

Square Root of 120

In this mini-lesson, we will calculate the square root of 120 by the long division method along with solved examples and interactive questions. The square root of a number is the number that gets multiplied to itself to give the original number. 4 is a square root of 16 because 4 × 4 = 16 and the symbol square root is written as √ and is an integral part of mathematics.

Let us take a look at what the square root of 120 is.

Square Root of 120: √120 = 10.954

Square of 120: 1202 = 14400

Answer: 13.08

Step-by-step explanation:

i hope this helps

Answer:     a1=1/2;an=-4an-1

Step-by-step explanation: The last one

Answer:

1) 5280 feet/sec

2)$3.41

Step-by-step explanation:

60 miles is 316800 feet, divided by 60 which is 5280 feet/sec

2)2.4x1.42 is 3.41

Analysis of Variance (ANOVA) is a statistical method used to compare the means of two or more groups in a research study.

The result of an ANOVA test helps us determine if there are any significant differences between the means of the groups.

When conducting an ANOVA, we calculate the F-statistic, which is the ratio of the between-group variability to the within-group variability. If the F-statistic is large enough, it indicates that there is a significant difference between the means of the groups. However, to determine if the results are statistically significant, we need to compare the calculated F-value to a critical value.

The critical value depends on the chosen significance level (alpha), which is typically set to 0.05 or 0.01. If the calculated F-value is greater than the critical value, we reject the null hypothesis and conclude that there are significant differences between at least two of the group means. In other words, the groups are not all the same.

On the other hand, if the calculated F-value is smaller than the critical value, we fail to reject the null hypothesis, suggesting that there is no significant difference between the means of the groups.

To summarize, the result of an ANOVA test tells us whether there are significant differences between the means of the groups being compared.

The statistical significance is determined by comparing the calculated F-value to the critical value at a chosen significance level.

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