In the diagram, roads a and b are parallel.
Solve for x and find the measure of VTU.

Answer:

c) 282.5 ft²

Step-by-step explanation:

Formula we use,

A = L × W

The area of one floor will be,

→ 12 1/2 × 10

→ 25/2 × 10

→ 250/2

→ 125 ft²

The area of another floor will be,

→ 15 3/4 × 10

→ 63/4 × 10

→ 630/4

→ 157.5 ft²

Total area of the new carpet is,

→ 125 + 157.5

→ 282.5 ft²

Hence, the total area is 282.5 ft².

If One floor is 12 1/2 feet long, and the other floor is 15 3/4 feet long. Each floor has a width of 10 feet. Then total area of new carpet is 282.5 ft²

The area of Rectangle is length times of width.

Given that new carpet put on the rectangular floors of two rooms in his house.

One floor is 12 1/2 feet long

Second floor is 15 3/4 feet long.

Width is given by 10 feet.

We know that area of rectangle is

Area = Length × Width

The area of one floor will be,

12 1/2 × 10

25/2 × 10

250/2

125 ft²

The area of another floor will be,

15 3/4 × 10

63/4 × 10

630/4

157.5 ft²

Total area of the new carpet is,

125 + 157.5

282.5 ft²

Hence, the total area of new carpet is 282.5 ft².

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The perimeter of the rectangle can be expressed as 10t - 26u centimeters.

Perimeter is the total length of the outer boundary of a two-dimensional shape or a three-dimensional space. It is a measure of the length around the outside of an object or a space and is usually expressed in linear units, such as millimeters, centimeters, meters, or kilometers.

The perimeter of a rectangle is the sum of the lengths of all four sides. Since the width and length of the rectangle are given as (t - 9u) centimeters and (4t - 4u) centimeters, respectively, the perimeter of the rectangle can be expressed as:
Perimeter = 2(t - 9u) + 2(4t - 4u)
Perimeter = 2t - 18u + 8t - 8u
Perimeter = 10t - 26u centimeters

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The percentage accuracy he had with predicting his scores is 90%.

Here,

Given that;

Henry predicted whether he got answers right or wrong in his 50 question exam. That is,

In total, there are 50 questions.

Of the ones he got right, he identified 30 right.

Of the ones he got wrong, he identified 15 correctly.

We have to find;  the percentage accuracy he had with predicting his scores.

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100.

Now,

The percentage of a relative to b is given by:

In total, there are 50 questions.

Of the ones he got right, he identified 30 right.

Of the ones he got wrong, he identified 15 correctly.

Hence, since he identified 45 out of 50 correctly:

[tex]P = \frac{x}{y} *100[/tex]

[tex]P = \frac{45}{50} *100[/tex]

[tex]P = 90[/tex]

So,

The percentage accuracy he had with predicting his scores is 90%.

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Assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.

Qualitative properties are properties that are observed and can generally not be measured with a numerical result.

Examples of quantitative data include, number of students in a class, weight of students in a class, etc.

Quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value. This data is any quantifiable information that researchers can use for mathematical calculations and statistical analysis to make real-life decisions based on these mathematical derivations.

Examples of qualitative data include hair color, religion, nationality, etc.

Thus, assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.

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Answer:8

Step-by-step explanation: 8 *2=16-5=11

Answer:

180000 total flowers

Step-by-step explanation:

1.2 × 10² = is the amount of flower for each student

1.5 × 10³ = is the total of students in school

Amount of flower × total student = total flowers

(1.2 × 10²) × (1.5 × 10³)

120 × 1500

= 180000

The approximate standard deviation of the sampling distribution of the proportion is 3.8%.

A standard deviation (or) is a measure of how widely distributed the data is in reference to the mean.

A low standard deviation indicates that data is clustered around the mean, whereas a high standard deviation implies that data is more spread out.

Now, as per the questions;

Whenever the population size is so very large, the PQ/N factor approaches zero, and the standard deviation equation becomes:

σp = √( PQ/n)

We don't know how so many listeners this same radio station has in this case, but we can assume it's a large number.

P = probability of listening at work, is 14% or 0.14

Q = probability of not listening at work, is (100- 14)% = 86% = 0.86

N = sample size, is 85

The sample standard deviation is then

σp = √(14×.86/85)

σp = 0.0376

σp = 3.8% (approximately)

Therefore, the approximate vale of the standard deviation is found to be 3.8 %.

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The correct question is-

If 14% of the listeners of a radio station listen to it while they are at work, what is the approximate standard deviation of the sampling distribution of the proportion for samples of size 85?

Answer:

The variable is x and the constant is 6.  The coefficient of the variable is 3.

Step-by-step explanation:

Answer:

A = .05 and B = .08 so A is the better buy

Step-by-step explanation:

In each case, divide total cost by number of units to get unit cost.

Answer:

x^2 +3x -10

Step-by-step explanation:

(x+5)(x-2)

x^2 +5x -2x -10

x^2 +3x -10

Answer:

19. B

20. G

Step-by-step explanation:

19. De pendant Variable is the variable that changes relative to some other variable. In other words its dependent on some other variable and its value changes with that other variable (the independent variable)

In this case the daily cost of the rental car is dependent on the miles driven.

20. The pair will be on the graph if it satisfies the given equation. In other words if i plug in a given x or y, i should get the same x or y.

In this case, for F, if i plug in x=1, the equation gives me y=12 which is not the value of the ordered pair. It is the value of G, thus G is on the graph

Answer:

$4,316

Step-by-step explanation:

Semester one: $166 per credit times 13 hours = $2,158

Semester two: $166 per credit times 13 hours = $2,158

Cost for semester one plus semester two = $4,316

Answer:

7.6

Step-by-step explanation:

[tex]\sqrt{(-3-4)^2 + (5-2)^2} \approx 7.6[/tex]

Answer:

x = 2, y = -1

Step-by-step explanation:

Now change the equation,

→ x + y = 1

→ y = 1 - x

Then the value of x will be,

→ 2x + y = 3

→ 2x + 1 - x = 3

→ x = 3 - 1

→ [ x = 2 ]

Therefore, the value of x is 2.

Now value of y will be,

→ y = 1 - x

→ y = 1 - 2

→ [ y = -1 ]

Hence, the value of y is -1.

Answer:

(2, -1)

-------

x = 2

y = -1

Step-by-step explanation:

1st equation:

rewrite

2nd equation:

rewrite

Solve simultaneously:

When x = 2, y = 1 - x

                    y =  1 - 2

                    y = -1

Left-handedness is more common than usual among mathematicians and more common than usual among artists option (d) more; more is correct.

An equation set and a set of variables that define connections between the variables make up a mathematical model, which often explains a system.

As we know,

Mathematicians are more likely than average to be left-handed, while artists are more likely than average to be left-handed.

Thus, Left-handedness is more common than usual among mathematicians and more common than usual among artists option (d) more; more is correct.

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Answer:

-9.42

Step-by-step explanation:

The number of marbles left in the pocket after losing is  29 { after narrating the story in numerical sentences}

Given that Tran bought 25 marbles and put them in his pocket with 10 other marbles. He had a hole in his pocket and lost 6 marbles. and asked to narrate the story in numerical form

Total number of marbles Tran bought=25 marbles

Total number of marble Tran has before buying new marbles=10 marbles

Total number of marbles after buying new marbles=35 marbles

Given that he lost 6 marbles because of the  hole in his pocket

Therefore, the Total number of marbles left=35-6

The total number of marbles left=29 marbles.

Therefore, The number of marbles left in the pocket after losing is  29 { after narrating the story in numerical sentences}

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Answer: 9002.146

Step-by-step explanation:

(9x1000) +2+ (1x0.1)+ (4x0.01) +(6x0.001)=

(9000)+2+(0.1)+(0.04)+(0.006)=

9002+0.1+0.04+0.006=9002.146

The real rate of interest is 8 percent.

In finance and economics, the nominal interest rate or nominal rate of interest is either of two distinct things: the rate of interest before adjustment for inflation; or, for interest rates "as stated" without adjustment for the full effect of compounding.

Given:

nominal rate of interest= 2%

expected inflation rate = 10 %

We know,

nominal rate = real interest rate + inflation rate

and, real interest rate= nominal rate - inflation rate

then,

real rate interest = 2-10

real rate interest = -8%

Hence, the inflation rate is greater than the nominal interest rate as it is -8%

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Based on the information above, it can be inferred that the diver is at a depth of 36 ft below water level.

To calculate the final elevation of the diver we must take into account the depth at which he was at the beginning and the changes he made in his position.

To calculate his current position we must subtract the number of feet he ascended from the number of feet he was at at the beginning:

Based on the above, it can be inferred that when the diver ascended to see a school of fish, he was 36 ft below the surface of the water.

Note: This question is incomplete because there is some information missing. Here is the complete information:

A scuba diver is swimming at an elevation of 52 feet below sea level. She sees a school of fish and rises 16 feet to watch the fish. What is her elevation now? A fish swims 27 feet below.

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Answer:

(1,-1/2)

Step-by-step explanation:

Add both x values and divide by 2

Add both y values and divide by 2

( -5+7 )/2 = 1

(4 - 5)/2 = -1/2

(1,-1/2)

Answer:

- 4+23e

Step-by-step explanation:

Answerham=136

Step-by-step explanation:

ham=x,,cheese=3x....=544...4x=544  which makes  x to be 136 which is the no of hamburgers

Answer:

An infinite sequence is a list or string of discrete objects, usually numbers, that can be paired off one-to-one with the set of positive integer s {1, 2, 3, ...}. Examples of infinite sequences are N = (0, 1, 2, 3, ...) and S = (1, 1/2, 1/4, 1/8, ..., 1/2 n , ...)

According to the given statement:

Equation one:

(7x)[tex]\frac{2}{3}[/tex]

Equation two:

√(9x)²

Equation three:

√(7x)³

Equation four:

∛(9x)²

Equation five

√(7x)³

Square-root-containing expressions are known as radical expressions. The radical symbol's "radicand" is a number or expression. A radical equation is one that uses radical expressions as the radicands for variables.

The expression's root is represented by the symbol known as the radical. n√x.

The following radical expression can be used to write the given statement:

Equation one:

(7x)[tex]\frac{2}{3}[/tex]

Equation two:

√(9x)²

Equation Three:

√(7x)³

Equation four:

∛(9x)²

Equation Five:

√(7x)³

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I understand that the question you are looking for is:

Rewrite the expression with rational exponents as a radical expression.

Given ~

[tex] \tt \: f(x) = - {x}^{2} - 4x - 12[/tex]

[tex] \: [/tex]

put the value of x = -7 in given function ~

[tex] \tt \: f( - 7) = - ( { - 7})^{2} - 4( - 7)- 12[/tex]

[tex] \: [/tex]

[tex] \tt \: f( - 7) = - 49 +28 - 12[/tex]

[tex] \: [/tex]

[tex]\tt \: f( - 7) = - 21 - 12[/tex]

[tex] \: [/tex]

[tex] \underline{ \boxed{ \tt \red{ f( - 7) = -33}}}{ \green ✓}[/tex]

[tex] \: [/tex]

hope helps ~

AS=6.28

First, draw a line joining C and T;

Two triangles TBC and TSC are formed;

Also, AC=35, AT=11,BT=9;

AB=AT+BT=11+9=20

Using pythagoras theorem;

AB² + BC² = AC²

BC²=35²-20²=825

Using pythagoras theorem on triangle TBC;

BC² + TB²= CT²

825 + 9²=CT²

CT²=906;

In triangle CST, using pythagoras theorem;

CS²+ST²=CT²=906   -1

In triangle AST, using pythagoras theorem;

AS²+ST²=AT²=11²=121   -2

Subtract 1 from 2;

AS²+ST²-CS²-ST²=121-906

AS²-CS²=-785

AS²-(AC-AS)²=-785

AS²-(35-AS)²=-785

AS²-AS²-35²+70AS=-785

AS=6.28

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The part of the drawing that shows information about scale, the date of the last revision, and the drawing number is the balloon framing.

Where is a drawing's scale often indicated?

What does balloon framing mean?

In contrast to platform framing, where each floor is framed independently, balloon framing uses studs (vertical members) that stretch the entire height of the building (often two storeys) from the foundation plate to the rafter plate.

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