the area of a rectangular window is 6216 cm^2. if the length of the window is 84 cm, what is it's width?​

Answer:

5x

Step-by-step explanation:

Answer:

169

Step-by-step explanation:

Square root means what number times its self is a different number. In this case, 13 times 13 = 169 so 13 times itself is 169.

169 is the number whose square root is 13.

Given data ,

Let the number be represented as A

Now , the value of A is represented as the radical form

The square root of a number is the value that, when squared, gives the original number.

So, to find the number whose square root is 13, we can square 13 to obtain the original number.

13² = 169

Hence , 169 is the number whose square root is 13. When we take the square root of 169, we get 13.

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Answer:

The vertex is (-2,1)

Step-by-step explanation:

The standard equation for the parabola is 4p(x-h)=(y-k)^2

Rewrite (y-1)^2=24(x+2) in standard form

4*6(x-(-2))=(y-1)^2

Therefore parabola properites are:

(h,k)=(-2,1)

The image of the histogram distribution is missing, so i have attached it.

Answer:

Option C: The distribution is unimodal. Its mode is near 60 inches

Step-by-step explanation:

Mode simply means the most occurring value in a set of data.

Now, for histogram, the mode is the highest peak represented in the bars.

Now, from the image attached, it is seen that there is a clear highest peak. Thus, the histogram has only one peak and it can be described as unimodal.

We are not given the mode height from the histogram but we can see that it is between 60 and 68 inches. And if carefully observed it will have a value closer to 60.

Thus,option C is correct.

The 1 3/4, 12, 18, 19 1/2, and 21 inches are equal in length to 91.5 inches.

To find out how many inches are equal in length to 1 3/4, 12, 18, 19 1/2, and 21,

we need to add them up.1 3/4 is equal to 1.75 inches, 12 inches is equivalent to 1 foot, 18 inches is equivalent to 1.5 feet, 19 1/2 inches is equal to 1.625 feet, and 21 inches is equal to 1.75 feet.

In total, we have 1.75 + 1 + 1.5 + 1.625 + 1.75 feet which is equivalent to 7.625 feet.To convert this into inches,

we will multiply the total number of feet by 12 because there are 12 inches in a foot. Thus, 7.625 feet * 12 inches per foot = 91.5 inches.Therefore, 1 3/4, 12, 18, 19 1/2, and 21 inches are equal in length to 91.5 inches.

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This answer discusses how to convert various units to inches, but the initial question did not provide clear values for conversion.

The question seems to be asking about converting certain values into inches. However, it's not clear what the values being converted are. For clarity, 1 inch is equivalent to 2.54 centimeters, 0.0254 meters, or 0.394 inches depending on the conversion being used. For example, if you had a measurement of 1.75 feet, you could convert it to inches by multiplying by 12 (because there are 12 inches in a foot) to get 21 inches.

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The difference between the forecourt of 65 and the forecourt of 45 is 2200.

To find the difference between the places of 65 and 45, we need to cipher each square independently and find the difference between the two results.

A number squared is attained by multiplying the figures themselves. So let's calculate the places of 65 and 45.

65 places

65 * 65 = 4225

45 places

45 * 45 = 2025

Now try to find the difference between these two places.

4225- 2025 = 2200

So the difference between the forecourt of 65 and the forecourt of 45 is 2200.

To unfold on this, consider the following

A forecourt of 65, or 4225, represents the area of a square with 65 units on each side. also, 45 places( 2025) represents the area of a square with 45 units on each side.

Abating the area of the lower forecourt( 2025) from the area of the larger forecourt( 4225) gives the area difference, which is 2200 square units.

This means that the large square corresponding to 65 places has an fresh area of 2200 square units compared to the lower square corresponding to 45 places.

In summary, the difference between the forecourt of 65 and the forecourt of 45 is 2200.

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Answer:

The slope is 3/2

Step-by-step explanation:

Rise over run- up 3 and to the left 2.

Answer:

2 to the left and 3 down

Step-by-step explanation:

Answer:

its 84 but tysm thats so sweet

Step-by-step explanation:

Answer:

[tex]\boxed{84}[/tex]

Step-by-step explanation:

[tex]12 \times 7 = 84[/tex]

Have a great day or night!

a)  False.  the null hypothesized value could not fall within a 99% confidence interval . b) false ; c) false ; d) true ; e) true ; f) false.

(a) False. If a given value (for example, the null hypothesized value of a parameter) is within a 95% confidence interval, it will not always be within a 99% confidence interval.

The reason for this is that a 99% confidence interval is wider than a 95% confidence interval.

Hence, the null hypothesized value could fall within a 95% confidence interval but not within a 99% confidence interval.

(b) False. Decreasing the significance level (α) will reduce the probability of making a Type 1 error, not increase it. A Type 1 error occurs when we reject a true null hypothesis.

By decreasing the significance level, we make it more difficult to reject the null hypothesis, which reduces the probability of a Type 1 error.

(c) False. Suppose the null hypothesis is μ = 5 and we fail to reject H0. Under this scenario, we cannot conclude that the true population mean is 5.

The data may be consistent with a range of population means, including means that are different from 5.

(d) True. If the alternative hypothesis is true, then the probability of making a Type 2 error and the power of a test add up to 1. Power is defined as the probability of rejecting a false null hypothesis.

If the alternative hypothesis is true, then the null hypothesis is false, and the probability of rejecting it (i.e., the power) is equal to 1 minus the probability of failing to reject it (i.e., the Type 2 error rate).

(e) True. With large sample sizes, even small differences between the null value and the true value of the parameter, a difference often called the effect size, will be identified as statistically significant.

This is because large sample sizes increase the precision of our estimates, which makes it easier to detect even small differences.

(f) False. A cutoff of α = 0.05 is not the ideal value for all hypothesis tests. The choice of α depends on several factors, including the consequences of a Type 1 error and the sample size.

For example, if the consequences of a Type 1 error are severe, then a lower value of α may be more appropriate. Similarly, if the sample size is very large, then a lower value of α may be necessary to maintain the Type 1 error rate.

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Answer:

OB is the ray between OC and OA

Step-by-step explanation:

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Thank You!

The required answer would be -25 which is evaluated by the PEMDAS rule.

PEMDAS rule states that the order of operation starts with the calculation enclosed in brackets or the parentheses first. Exponents (degrees or square roots) are then operated on, followed by multiplication and division operations, and then addition and subtraction.

We have been given that expression as

⇒ 1 + (-2-5)2 + (14-17) × 4

To determine the evaluation of the given expression  

⇒ 1 + (-2-5)2 + (14-17) × 4

We have to apply the PEMDAS rule in the expression

As per the PEMDAS rule, the solution would be:

⇒ 1 + (-7)×2 + (-3) × 4

⇒ 1 + -14 + -12

⇒ 1 - 14 - 12

⇒ 1 - 26

⇒ -25

Therefore, the required answer would be -25.

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Answer:

-8 is the answer, have a good day :)

Step-by-step explanation:

Answer:

Your answer of 10 x 12 - 14 +2+15 =123

Answer:

A

Step-by-step explanation:

I took the test and its A.

The transformation that is not a rigid transformation is the first triangle ABC i.e option A.

Rigid transformation is the procedures required to resize or reshape a given object so as to produce the required image. The types of rigid transformation are: translation, reflection, dilation and rotation.

Considering the triangles in the given question, it can be observed that:

i. Triangle ABC compared with its image, has not obeyed the principle.

ii. Clockwise rotation of triangle ABC using point C would produce triangle A'B'C'.

iii. Reflection of triangle ABC using point C as the reference point would produce its image A'B'C'.

iv. Dilating each of the side length of triangle ABC with an appropriate representative fraction would produce the image A'B'C'.

Therefore, the only transformation that is not a rigid transformation is the first triangle ABC i.e option A.

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Answer:

-1 + (-5)

-1 + 5

Step-by-step explanation:

Hope that helps and have a great day!

If you want me to explain, let me know!

The constant G is a fundamental constant in physics and plays a crucial role in understanding the gravitational interactions between celestial bodies.[tex]A.d is N.m^2/kg^2.[/tex]

Conversions:

10 meters to feet: 10 meters * 3.281 feet/meter = 32.81 feet

100 kilograms to pounds: 100 kilograms * 2.2046 pounds/kilogram = 220.46 pounds

50 Kelvin to Rankine: 50 Kelvin * (9/5) Rankine/Kelvin = 90 Rankine

6 micrometers to centimeters: 6 micrometers * 0.0001 centimeters/micrometer = 0.0006 centimeters

The unit of the constant G in the formula F.L.G = [tex]A.d is N.m^2/kg^2.[/tex]

In the given formula, F represents force in Newtons (N), L represents length in meters (m), G represents the constant with the unit of [tex]N.m^2/kg^2[/tex], A represents area in square meters ([tex]m^2[/tex]), and d represents distance in meters (m).

The unit [tex]N.m^2/kg^2[/tex] represents the gravitational constant in physics, commonly denoted as G. It is used in the calculation of gravitational forces between objects. The unit can be broken down as follows: N represents the unit of force, [tex]m^2[/tex]represents the unit of area, and[tex]kg^2[/tex]represents the square of the unit of mass. The constant G is a fundamental constant in physics and plays a crucial role in understanding the gravitational interactions between celestial bodies.

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Answer:

10 is your answer

Answer:

1

Step-by-step explanation:

Answer:

MNK = TRP

MN is congruent to TR.

X = 6.3

Step-by-step explanation:

MNK is congruent to TRP because the two triangles are congruent, which is a given statement. This also means that all side and angle measures will be congruent. Because of this, it can be inferred that MN is congruent to TR and they have equal side length measures. This means that TR measures 20. This means that 3X - 1 = 20. By solving we can get 6.33.

Answer:

160

Step-by-step explanation:

To sum something up is to add together. Adding 14 and 26 gets 40, and 4 times 40 is 160!

Answer:

Step- 4x14+26

14+26=40

40x4=160

160 is the answer

Answer:

2(6) + 2(x + 10)

hope this helps <3

The algebraic expression to represent the rectangle's perimeter is (2x + 32)cm.

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.

Length of rectangle = 6cm

Width of rectangle = (x + 10)cm

Perimeter of rectangle = 2(length + breadth) = 2(6 + x + 10) = (2x + 32)cm

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Answer:

20

Step-by-step explanation:

4 times 5 is 20

George and Wanda file married joint and receive $9,750 of dividend income from stocks owned by George.

So the combined social security benefits that they have received in a year is $31,100.Now the provisional income is calculated which is defined as the sum of social security benefits received and all other taxable income. Provisional income is calculated as follows:

Provisional income = social security benefits + all other taxable income Provisional income for George and Wanda can be calculated as: Provisional income = $31,100 (social security benefits) + $5,300 (interest from jointly owned City of Ranburne Bonds and dividend income) + $9,750 (dividend income from stocks owned by George) Provisional income = $46,150 Now the taxable amount of social security benefits will be calculated.

Taxable social security benefits = lesser of (50% × social security benefits) or [50% × (provisional income − base amount)] Base amount for married individuals filing a joint return = $32,000 Now taxable social security benefits for George and Wanda will be calculated as follows: Taxable social security benefits for George = lesser of (50% × $12,000) or [50% × ($46,150 − $32,000)] Taxable social security benefits for George = $1,075 Taxable social security benefits for Wanda = lesser of (50% × $19,100) or [50% × ($46,150 − $32,000)] Taxable social security benefits for Wanda = $5,075

In this question, we need to determine the amount of social security benefits that George and Wanda must include in their gross income under different independent situations. The calculation of taxable social security benefits will depend on the type of return that they file and the total dividend income that they receive.In the first situation, George and Wanda file a married joint return and receive $9,750 of dividend income from stocks owned by George. The provisional income for George and Wanda is calculated by adding all taxable income to the social security benefits. The formula for calculating the provisional income is Provisional income = social security benefits + all other taxable income. The provisional income for George and Wanda is $46,150. The taxable amount of social security benefits is calculated as per the IRS guidelines, which state that the taxable amount will be the lesser of 50% of the social security benefits or 50% of the provisional income minus the base amount. The base amount for married individuals filing a joint return is $32,000. The taxable social security benefits for George are $1,075, and for Wanda, they are $5,075.In the second situation, George and Wanda file a married separate return and receive $9,750 of dividend income from stocks owned by George. The calculation of taxable social security benefits will be different in this case as the base amount for married individuals filing a separate return is $0. The provisional income for George and Wanda is $46,150. The taxable social security benefits for George are $1,075, and for Wanda, they are $5,075.In the third situation, George and Wanda file a married joint return and receive $34,200 of dividend income from stocks owned by George. The provisional income for George and Wanda is $79,050. The taxable social security benefits for George are $7,700, and for Wanda, they are $9,925.In the fourth situation, George and Wanda file a married joint return and receive $17,100 of dividend income from stocks owned by George. The provisional income for George and Wanda is $62,950. The taxable social security benefits for George are $3,925, and for Wanda, they are $7,050.

Thus, the amount of social security benefits that George and Wanda must include in their gross income is different in each independent situation. The calculation of taxable social security benefits depends on the type of return they file and the total dividend income they receive.

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Answer:

La longitud de BC es 15 cm y la longitud AB es 45 cm

Step-by-step explanation:

Ecuaciones

Tenemos un segmento AC de longitud 60 cm, dividido en dos segmentos BC y AB tal que:

AB+BC=60 cm

También sabemos que AB=3BC. Reemplazando en la ecuación anterior, tenemos:

3BC+BC=60 cm

Reuniendo términos semejantes:

4BC=60 cm

Despejando BC:

BC=60/4 = 15 cm

Como AB=3BC, entonces

AB=3*15= 45 cm.

La longitud de BC es 15 cm y la longitud AB es 45 cm

Answer:

96

Step-by-step explanation:

Answer:

y = 6x-10 or y-2 = 6(x-2)

Step-by-step explanation:

If two lines are parallel, it means that they have the same slope.

From the question, we are told that line j is parallel to k, this means that line j has the same slope as k.

First we need to determine the skipe of the like j.

Given equation of line j expressed as

y − 6 = 6(x − 4). To get the slope, we will compare the equation with the general equation y = mx+c where m is the slope.

Rewrite the given equation in standard form

y − 6 = 6(x − 4)

y-6 = 6x-24

y = 6x-24+6

y = 6x-18

Comparing this with y = mx+c, m = 6

Hence the slope of line k is also 6.

The equation of line k passing through the point (2,2) is expressed using the formula y-y0 = m(x-x0)

x0 = 2 and y0 = 2

y-2 = 6(x-2)

y-2 = 6x-12

y = 6x-12+2

y = 6x-10

Hence the equation of the line k in slope intercept form is y = 6x-10

Answer:

P= 80 + 20x

Step-by-step explanation:

80 is base and 20 per x computer

The equation for 'P', representing Claire's total pay on a day on which she sells 'x' computers is → P = 80 + 20x

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Clair who makes a base pay of $80 each day and then is paid a $20 commission for every sale of computer she makes.

We can model the equation for Clair's total pay as follows -

P = base pay + (number of sold computer) × (cost of 1 computer)

P = 80 + 20x

Therefore, the equation for 'P', representing Claire's total pay on a day on which she sells 'x' computers is → P = 80 + 20x

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Answer:

2

Step-by-step explanation:

The area of the water's surface is approximately 981.25 square units.

Since the water depth is 10, the water fills up half of the hemispheric bowl. Therefore, we need to find the surface area of a circle with radius 25 (the base of the hemisphere) and divide it by 2.

The surface area of a circle with radius r is given by A = πr^2. So, the surface area of the circle with radius 25 is:

A = π(25)^2 = 625π

Dividing by 2, we get

625π/2

So the surface area of the water's surface is 625π/2 square units.

Approximating the value of π as 3.14, we get:

625π/2 ≈ 625(3.14)/2 ≈ 981.25

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