S is the midpoint of RT.
If RS = 4x - 3 and RT = 6x - 4,
what’s the value of ST?

Answer:

x=3, y=23

x=6, y=41

x=8, y=53

x=9, y=59

Step-by-step explanation:

x=3, y=6(3)+5

        y=18+5

        y= 23

x=6, y=6(6)+5

       y=36+5

       y= 41

x=8, y=6(8)+5

       y=48+5

       y=53

x=9, y=6(9)+5

       y=54+5

       y=59

Answer:

\(volume = 927,587.2ft^3\)

Step-by-step explanation:

The equation to find the volume of a sphere is as follows:

\(volume = \frac{4}{3}\pi r^3\)

We have a radius of 60.5ft, let's plug this into the equation and solve:

\(volume = \frac{4}{3} \pi (60.5)^3 \\volume = 927,587.17\\volume = 927,587.2\)

Therefore, the volume of a sphere with a radius of 60.5ft is 927,587.2ft^3.

Hope this helps!!

- Kay :)

Volume of the sphere is 927587.2 cubic feet (nearest tenth).

"A sphere is a set of points in space that are a given distance r from the center. The volume of a 3 -dimensional solid is the amount of space it occupies."

Formula to find the volume of a sphere

Volume of the sphere = \(\frac{4}{3} \pi r^{3}\)

V = \(\frac{4}{3} \pi (60.5)^{3}\)

V = 927,587.167

Using calculator, we get

V ≅ 927587.2 cubic feet

Hence, Volume of the sphere is 927587.2 cubic feet (nearest tenth).

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Answer:

$21.04

Step-by-step explanation:

28.48

-. 7.44

______

21.04

Answer: $21.04

Step-by-step explanation:

Answer:

\(S_{45}\) = 9000

Step-by-step explanation:

there is a common difference between consecutive terms , that is

11 - 2 = 20 - 11 = 9

this indicates the sequence is arithmetic with nth term

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 2 and d = 9 , then

\(S_{45}\) = \(\frac{45}{2}\) [ (2 × 2) + (44 × 9) ]

    = 22.5(4 + 396)

    = 22.5 × 400

    = 9000

Answer:

77

Step-by-step explanation:

Bisects means that the angle is split in half perfectly thus if angle JKM is 154 then JKR is 154/2 = 77

Answer:

f(- 7) = - 57

Step-by-step explanation:

To evaluate f(- 7) substitute x = - 7 into f(x) = 7x - 8, since condition is

f(x) = 7x - 8 for x ≥ - 7, thus

f(- 7) = 7(- 7) - 8 = - 49 - 8 = - 57

a) The percentage is 73%.

b) The ratio is 73:27

d) The decimal form is 0.73

e) The fraction is 73/100

The percentage of the model that is shaded is given by:

P = 100%*(shaded squares)/(total number of squares)

There are 100 squares in total, of these 73 are shaded, then the percentage is:

P = 100%*(73)/100 = 73%

b) The ratio is "shaded squares to non shaded squares"

There are 73 shaded squares and 27 non-shaded ones, then the ratio is 73:27

c) To get the equivalent decimal to a percentage, just divide it by 100%.

p = 73%/100%  =0.73

d) The equivalent fraction is the fraction we wrote on the first step, it is:

fraction = 73/100

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Answer:

D. 48 feet

Step-by-step explanation:

Ladder (50 ft) = hypotenuse

Floor distance (14 ft) = b

Wall (unknown) = a

\(a^2+b^2=c^2\)

\(a^2+14^2=50^2\)

\(a^2+196=2500\)

\(a^2=2500-196\)

\(a=\sqrt{2304}\)

\(a=48\)

Hope this helps!

Answer:

48 feet

Step-by-step explanation:

Here,

c = 50 ft

b = 14 ft

To find : the height of the wall that the ladder reaches ( a ) = ?

Formula : -

a² + b² = c²

a² = c² - b²

= 50² - 14²

= ( 50 x 50 ) - ( 14 x 14 )

= 2500 - 196

= 2304

= 48 x 48

a² = 48²

a = 48 feet

Answer:

28 and 32

Step-by-step explanation:

they have the most

Answer:

A

Step-by-step explanation:

If it is a scale factor of 2 then to get the sides of rectangle z you would multiply the sides of rectangle y

if The sides are twice the size of rectangles y sides then the area is also twice as big

have a great day :)

Answer:

A 61

Step-by-step explanation:

Cos A = 0.4848

A = cos ^-1(0.4848)

A = 61

If triangle ABC is reflected across the x axis, the new point is A'(-3, -2), B'(0, -1) and C'(-2, 3)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Triangle ABC has vertices A(-3,2) B(0,1) and C(-2,-3).

If triangle ABC is reflected across the x axis, the new point is A'(-3, -2), B'(0, -1) and C'(-2, 3)

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The length of the hypotenuse with legs 8 units and 6 units is 10 units and with leg 8 units and 15 units is 17 units. We calculate the length of a leg of the right triangle by using formula    \(h ^ {2} = p ^ {2} + b ^{2}\)

If one of the angles in a triangle is 90 degrees, the triangle is said to have a right angle. The term "right angle" refers to angles in right triangles that are 90 degrees. The side opposite in a 90° angle is the hypotenuse. The hypotenuse is always the longest side. The sum of the other two inner angles is 90 degrees.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

length of legs = 8 units and 6 units

hypotenuse = \(\sqrt {8 ^ {2}+6 ^ {2}}\) = 10 units

length of legs = 8 units and 15 units

hypotenuse = \(\sqrt {8 ^ {2}+15 ^ {2}}\) = 17 units

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Answer:

High-powered money is the base for the expansion of Bank deposits and creation of money supply. The supply of money varies directly with changes in the monetary.

Step-by-step explanation:

have great day :)

Answer:

\(3x + 4\)

Step-by-step explanation:

\(x(12 - 9) + 4 \\ x(3) + 4 \\ 3x + 4 \)

The question that is a statistical question is "How many miles did your family drive last week?"

A statistical question is a question that requires collecting and analyzing data to answer.

It involves investigating a specific variable or variables and determining patterns, trends, or relationships within the data.

The question "How many miles did your family drive last week?" is statistical, as it involves collecting and analyzing data related to a specific variable (miles driven) over a certain period of time (last week).

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Answer:

Step-by-step explanation:

<A = <E corresponding parts of 2 geometric figures are =

60 + 8x = 108                    Subtract 60 from both sides

8x = 108 - 60                     Combine

8x = 48                              Divide by 8

8x/8 = 48/8                      

x = 6

< C    = <G                corresponding parts of 2 geometric figures are =

8y - 3x = 62              Use x = 6 from the previous problem

8y - 3*6 = 62             Combine

8y - 18 = 62               Add 18 to both sides

8y = 62 + 18               Combine

8y = 80                       Divide by 8

8y/8 = 80/8

y = 10

Tasheena's grade percentage in the class so far is 91.83%.

Tasheena's grade is the sum of weighted scores in each of the component that make up the final grade.

Percent scored in quizzes = (125/150) x 15% = 12.50%

Percent scored in the three exams = (sum of scores in the exam / total obtainable score) x 55%

= [(73 + 83 + 94) / (100 + 100 + 100)] x 55%

= (250 / 300) x 55% = 45.83%

Percent scored in the projects = (28 / 25) x 25 = 28%

Percent for attendance = 5%

Total score = 5% + 28% + 45.83% + 12.50% = 91.33%

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Answer:

75%

Step-by-step explanation:

If the ratio of red:blue is 3:1, then there are 4 (some multiple of 4) in all.

The ratio of red:total is 3:4

3/4 is .75, times by 100 to convert to a percent.

.75 × 100 is 75%

Answer:

right π/2

Step-by-step explanation:

The function f(x) = 2sin(x - π/2) is a sine function with a period of 2π, an amplitude of 2, and a phase shift of π/2. The phase shift of π/2 causes the graph of the function to be shifted π/2 units to the right. .

Therefore, the correct answer is right π/2

Answer:

\(y=5x^2-80x+324\)

Step-by-step explanation:

The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

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B. the test scores of other students worldwide are not compared in Aspire test.

In general, a test is a methοd οr tοοl used tο evaluate the knοwledge, skills, abilities, οr perfοrmance οf an individual οr grοup οf individuals. Tests are cοmmοnly used in educatiοnal settings, as well as in fields such as psychοlοgy, medicine, and emplοyment screening.

Tests can take variοus fοrms, such as written οr οral exams, practical assessments, standardized tests, οr psychοlοgical evaluatiοns. They are used tο measure a range οf abilities οr characteristics, such as academic achievement

B. the test scοres οf οther students wοrldwide.

Aspire is a standardized test used in the United States tο measure student academic prοgress in grades 3-8. The test scοres are cοmpared tο οther students at the natiοnal, state, and schοοl level, but nοt wοrldwide. The test is designed tο prοvide infοrmatiοn abοut hοw well students are meeting academic standards in key subject areas, such as reading, math, and science.

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Complete question:

Your test scores for the Aspire test are compared to all of the following

except.

A. the test scores of other students nationwide.

B. the test scores of other students worldwide.

C. the test scores of other students in your school.

D. the test scores of other students in your state.

B. the test scores of other students worldwide are not compared in Aspire test.

In general, a test is a methοd οr tοοl used tο evaluate the knοwledge, skills, abilities, οr perfοrmance οf an individual οr grοup οf individuals. Tests are cοmmοnly used in educatiοnal settings, as well as in fields such as psychοlοgy, medicine, and emplοyment screening.

Tests can take variοus fοrms, such as written οr οral exams, practical assessments, standardized tests, οr psychοlοgical evaluatiοns. They are used tο measure a range οf abilities οr characteristics, such as academic achievement

B. the test scοres οf οther students wοrldwide.

Aspire is a standardized test used in the United States tο measure student academic prοgress in grades 3-8. The test scοres are cοmpared tο οther students at the natiοnal, state, and schοοl level, but nοt wοrldwide. The test is designed tο prοvide infοrmatiοn abοut hοw well students are meeting academic standards in key subject areas, such as reading, math, and science.

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Complete question:

Your test scores for the Aspire test are compared to all of the following

except.

A. the test scores of other students nationwide.

B. the test scores of other students worldwide.

C. the test scores of other students in your school.

D. the test scores of other students in your state.

Answer:

\(\large \boxed{\sf \ \ x = -\dfrac{\sqrt{33}+1}{4} \ \ or \ \ x = \dfrac{\sqrt{33}-1}{4} \ \ }\)

Step-by-step explanation:

Hello, please find below my work.

\(2x^2+x-4=0\\\\\text{*** divide by 2 both sides ***}\\\\x^2+\dfrac{1}{2}x-2=0\\\\\text{*** complete the square ***}\\\\x^2+\dfrac{1}{2}x-2=(x+\dfrac{1}{4})^2-\dfrac{1^2}{4^2}-2=0\\\\\text{*** simplify ***}\\\\(x+\dfrac{1}{4})^2-\dfrac{1+16*2}{16}=(x+\dfrac{1}{4})^2-\dfrac{33}{16}=0\)

\(\text{*** add } \dfrac{33}{16} \text{ to both sides ***}\\\\(x+\dfrac{1}{4})^2=\dfrac{33}{16}\\\\\text{**** take the root ***}\\\\x+\dfrac{1}{4}=\pm \dfrac{\sqrt{33}}{4}\\\\\text{*** subtract } \dfrac{1}{4} \text{ from both sides ***}\\\\x = -\dfrac{1}{4} -\dfrac{\sqrt{33}}{4} \ \ or \ \ x = -\dfrac{1}{4} +\dfrac{\sqrt{33}}{4}\)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The required correct options of data set after the value's removal.

1. The mean will increase.                   3. The median may stay the same.      5. The mode will stay the same.

The Index Sponsor computes the Removal Value in the same way that Fund Interests in the linked Fund are valued.

Here,
While analyzing a data set, a scientist notices one data value that is 2 IQRs below the first quartile.
As for the properties of statistics, Change in the IQR does affect the median and mode, So options 3 and 5 are correct.
And also mean will increase.

Thus, the correct options are shown above.

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The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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i hope you got it ..........

For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.

The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.

The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).

The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.

So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.

Correct option is D.

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Complete question is:

What are the domain and range of the function f(x)=-x+3-2?

A) domain: -3 -2

B) domain: -3 -3 range: y<-2

C) domain: x>-3 range:y>-2

D) domain : x>-3 range: y ≤ 2

Answer:

A square pyramid has 5 faces: 1 square base and 4 triangular faces.

The area of the base is:

A = s^2

where s is the length of the base edge.

In this case, s = 1 m, so:

A = 1^2 = 1 m^2

The area of each triangular face is:

A = 1/2 * b * h

where b is the base of the triangle (which is equal to the length of one side of the square base) and h is the height of the triangle (which is given as 1 m).

In this case, b = 1 m and h = 1 m, so:

A = 1/2 * 1 * 1 = 0.5 m^2

The total surface area of the pyramid is the sum of the area of the base and the area of the four triangular faces:

SA = A_base + 4 * A_triangles

SA = 1 + 4(0.5)

SA = 1 + 2

SA = 3 m^2

Therefore, the surface area of the pyramid is 3 square meters.

Answer:

96.2

Step-by-step explanation:

well, it rounds up to 96, so the answer would be 96, but the actual answer is 96.2