The diagram shows a prism. 1m 2m front 2m 1m 2m side front elevation Draw the front elevation and the side elevation of the prism on the grids. Use a scale of 2 squares to 1 m. side elevation ​

Answer:

y = 2/3 x + 7

Step-by-step explanation:

At birth represents the beginning of time for the baby. Lets call this month zero. So here are your coordinates.

x = 0 y = 7 ----> at birth

x = 3 y = 9

x = 6 y = 11

x = 9 y = 13

Now we find the slope between each point. Since the common difference of y is 2 and the common difference in x is 3 , the slope will be

slope = y / x = 2 / 3

Therefore, the equation of the line that represents this relationship is

y = (2/3) x + 7

The discount in dollars is $768.

This is a question of simple subtraction.

A sale price is the discounted price at which goods or services are being sold. This price is usually offered for a limited period of time

Discounted Amount means an amount equal to the sum of the Offer Discount, Volume Discount and Payment Discount, applied to the List Price of all Eligible Products ordered by the Customer under these Terms.

Larry and Donna bought a sofa at the sale price of $1152.

The original price of the sofa was $1920.

So, Discounted amount of the sofa= (Original price of the sofa- Sale price of the sofa)

i.e, ($1920-$1152)=  $768.

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Answer:

Step-by-step explanation:

2940.1667

Answer:

2940.16667

Step-by-step explanation:

A. The slope of the linear function is given as follows: m = 2.

B. The slope means that the number of races increases by two when the number of track meets increases by one.

C. The y-intercept of 5 means that when there are 5 races when there are 0 track races.

D. The slope-intercept definition of the linear function is given as follows: y = 2x + 5.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The input and output variables for this problem are given as follows:

Two points in the function are given as follows:

(0,5) and (1,7).

Hence the slope and the intercept are given as follows:

Meaning that the function is defined as follows:

y = 2x + 5.

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Step-by-step explanation:

as always with % calculations :

first find what is 100% or 1%. everything else can be calculated from that.

in our case, we got 100% = 18.

therefore, 1% = 100%/100 = 18/100 = 0.18

how many % are 4 students ?

as many as the times 1% (0.18) fits into 4 :

4 / 0.18 = 22.22222222... %

so,

22.22222222... %

of the students passed.

therefore,

100 - 22.22222222... = 77.77777777... %

of the students did not pass.

Answer:

c.

Step-by-step explanation:

this graph is exponential equation

Answer:

14

Step-by-step explanation:

Para simplificar esta expresión, debemos seguir el orden de las operaciones, también conocido como PEMDAS: paréntesis, exponentes, multiplicación y división (de izquierda a derecha), y suma y resta (de izquierda a derecha).

1. Comience por simplificar la expresión dentro de los paréntesis.

4-2[6-3+4(5-7)]

4-2[6-3+4(-2)]

4-2[6-3-8]

4-2[-5]

4+10 = 14

2. Ahora sustituya el valor simplificado dentro de los paréntesis en la expresión original:

-3+{14}+3

3. Ahora podemos sumar y restar de izquierda a derecha.

-3+14+3 = 14

Entonces, la expresión simplificada es 14.

9.6 KB kilobytes is equal to 0.0096 MB

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

1kB=1000 bytes

1MB=1000 KB

1kB=1/1000MB=0.001 MB

9.6 KB is nothing but 9600 bytes

9.6 KB in MB we have to convert

Now multiply 9.6 with 0.001

9.6×0.001

0.0096 MB

Hence,  9.6 KB kilobytes is equal to 0.0096 MB

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Answer: 7m-6m²-2mn

Step-by-step explanation:

Multiply each term in parenthesis by -2

Calculate product (2x3=6)

7m-6m²-2mn

Answer:

Step-by-step explanation:

Love these kinda problems.

Alr,

d/dx of lnx = 1/x

let 3x³ + 12x = t

dt/dx = 9x² + 12 ( d/dx of xⁿ = n[tex]x^{n-1}[/tex])

then, d/dx of ln t= 1/t x dt/dx  = 1/(3x³+12x) x (9x² + 12) = (3x² + 4)/(x³ + 4x)

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Answer:

2 inches

Step-by-step explanation:

The radius is simply the distance from the edge if you were at the center, which is equal to half the diameter. So given the diameter is 4 inches, we divide that by two, [tex]\frac{4\text{ inches}}{2}=2\text{ inches}[/tex] and that's our radius!

To solve the equation for x, locate squares a, b, and c and use the quadratic formula. x= [tex]-1\±I[/tex]

A second order polynomial can be used to define a square. It has at least one term that needs to be squared, in other words. They go by the name quadratic equations as well. The quadratic equation's generic form is

[tex]ax^2\+ bx + c = 0[/tex]

Where x is an unknown variable and a, b, and c are numerical coefficients, the formula is: ax2 + bx + c = 0. An example of a quadratic equation is x2 + 2x + 1. in which a 0. The equation becomes a linear equation when this value is zero and ceases to be a quadratic equation.

bx+c=0

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Reason:

1% converts to the decimal form 0.01

0.01*800 = 8

Basically we move the decimal point two spots to the left

So the 800.0 becomes 8.000 or simply 8

Answer:

8

Step-by-step explanation:

Anything in percentage format can be expressed as a fraction by dividing by 100

Thus

[tex]\textrm{1\% }= \dfrac{1}{100}[/tex]

1% of 800 is found by multiplying 800 by the above fraction
[tex]\textrm{1\% of 800 } = 800\cdot \dfrac{1}{100} = 8[/tex]

Answer:

B

Step-by-step explanation:

The numbers are the same so they would be on the same place on the number line.

Answer:

If A = B, where on the number line will A appear?

The correct answer is B. In exactly the same location as B.

This is because when we say A = B, it means that A and B have the same value, meaning they are located in the same place on a number line.

Answer:

The Milky Way is about 1,000,000,000,000,000,000 km

Step-by-step explanation:

about 100,000 light years or about 30 kpc) across.

The firm needs to sample 138.297 products to achieve a ±5% accuracy at a 95% confidence level, given that it believes that the true proportion of defects is no greater than 10%.

Generally, To determine the sample size needed to achieve a ±5% accuracy at a 95% confidence level, with a maximum expected proportion of defects of 10%, you can use the formula for sample size for a proportion. The formula is:

n = (z^2 * p * (1-p)) / E^2

Where:

Plugging in the given values, we get:

n = (1.96^2 * 0.10 * (1-0.10)) / 0.05^2

n =138.297

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Answer:

Step-by-step explanation:

The triangle on the right side fits into the missing part of the left side.

So what I did is (5+4) and times 10 = 90m.

P.s:If I'm wrong I'm sorry.

Step-by-step explanation:

well, it is a rectangle, where an isoceles right-angled triangle is cut off in the top left corner, but that triangle is added to the top right corner.

so, the area is the same as the regular rectangle.

we know, the area of a rectangle is

length × width

now, we know the length for sure (10 m).

what is the width ?

we know the part of the width until the triangle is 5 m.

and we know the leg length of the triangle is 4 m.

the width is simply the sum of the basic part and the leg length

5 + 4 = 9 m

so the area of all this is

10 × 9 = 90 m²

Answer:

D

Step-by-step explanation:

Answer:

There are few possible ways to find the complex zeros

You can find the complex zeros by using quadratic formula

[tex]x^2-6x+13=0[/tex]

[tex]=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:13}}{2\cdot \:1}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \:4i}{2\cdot \:1}[/tex]

[tex]x_1=\frac{-\left(-6\right)+4i}{2\cdot \:1},\:x_2=\frac{-\left(-6\right)-4i}{2\cdot \:1}[/tex]

[tex]x=3+2i,\:x=3-2i[/tex]

The margin of error for this survey is 8% (0.08*100) rounded to the nearest tenth.

What is the margin of error?

The margin of error is a measure of the precision of a sample estimate. It is used to indicate the degree of uncertainty associated with a sample estimate.

The formula to calculate the margin of error at the 95% confidence level for a sample proportion is:

Margin of error = z* √(p*(1-p)/n)

Where:

z is the z-score for the 95% confidence level (1.96)

p is the sample proportion (36%)

n is the sample size (75)

So the margin of error for this survey would be:

Margin of error = 1.96 * √((0.36 * (1 - 0.36)) / 75)

Margin of error = 0.08

Hence, the margin of error for this survey is 8% (0.08*100) rounded to the nearest tenth.

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The Casey's rectangular array that is 1,167 units long and 7 units wide has an area of  

The formula for the area of a rectangle is the product of length and wide. This is written mathematically as

= length * wideness

In the problem the rectangular array made by Casey has a the following dimensions

length = 1167 units

wide = 7 units

Area of rectangle = length * wideness

substituting the values

Area of rectangle = 1167 * 7

Area of rectangle = 8169 square units

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Answer:

To find out how many batches of cookies the factory made, we need to divide the total amount of flour used (7 1/2 bags) by the amount of flour used per batch (3 3/4 bags).

We can start by converting 7 1/2 bags of flour to a mixed number: 7 1/2 bags = 7 + 1/2 = 7.5 bags

Next, we can convert 3 3/4 bags of flour to a mixed number: 3 3/4 = 3 + 3/4 = 3.75 bags

Then, we can divide the total amount of flour used by the amount of flour used per batch:

7.5 bags / 3.75 bags/batch = 2 batches

Therefore, the factory made 2 batches of cookies yesterday

Answer:

-4 < 2 - a < -8

Step-by-step explanation:

Answer:

1.72 inches

Step-by-step explanation:

= P=2s×b

= 32.7=2s×9.5

= 32.7=19s

= 32.7/19=19s/19

= s=1.72

Answer:

31=3+x

31=-3+x

28=x

28/7

$4

Each Candy bar cost $4 each

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve this equation, we can start by using the identity cos(A-B) = cosAcosB + sinAsinB. Substituting A=sin x and B=1, we have:

2cos(sin x - 1) = cos(sin x)cos(1) + sin(sin x)sin(1)

We can then substitute this expression on the left-hand side of the original equation and simplify:

4sinxcosx^2 - 1 = cos(sin x)cos(1) + sin(sin x)sin(1)

Rearranging terms, we have:

4sinxcosx^2 - cos(sin x)cos(1) - sin(sin x)sin(1) = 1

We can now use the identity sin^2x+cos^2x=1 to simplify the left-hand side further:

4sinxcosx^2 - (sin^2x + cos^2x)cos(1) = 1

Simplifying further:

4sinxcosx^2 - (cosx)cos(1) = 1

Now we can divide both sides by cos(1):

4sinxcosx^2/cos(1) - cosx = 1/cos(1)

Rearranging terms:

cosx(4sinxcosx^2/cos(1) - 1) = 1/cos(1)

Finally, we can use the identity cos2x = 2cos^2x - 1 to simplify the left-hand side further:

(2cos^2x - 1)(4sinxcosx^2/cos(1) - 1) = 1/cos(1)

We can then divide both sides by (4sinxcosx^2/cos(1) - 1):

2cos^2x - 1 = 1/cos(1) (4sinxcosx^2/cos(1) - 1)

And finally, we can solve for cosx:

cosx =  1/2 + 1/2cos(1) (4sinxcosx^2/cos(1) - 1)

This is the solution to the equation.

The value of a is 18.43°

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given that, cos2a=4/5

cos 2a = 4/5

2a = cos⁻¹(4/5)

2a = 36.86°

a = 18.43°

Hence, the value of a is 18.43°

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