Ali Makes a Four digit number . The sum of the digit is 4 . The thousands digit and the unit digit are the same. The hundreds digit is zero.
What is Ali's number?

The rule for a rotation by 270 ° about the origin is (x,y) ⇒ (y,-x)

Rotating the triangle PQR to create an image of the triangle involves moving the triangle PQR in a circular direction.

The coordinates of the given triangle are:

Using the rule, the coordinates now are:

In the attatchment, the answer is in pictoral form.

Answer:

Step-by-step explanation:

They are the same angle in the obtuse triangle and same points but mixed up proof: you can highlight the lines and make points for the letters w x and y hope this helps :)

Answer:

\(y=-1(x-2)^2+1\)

Step-by-step explanation:

The parabola has the vertex (2, 1) and goes through the point (4, -3).

We will use the vertex form, given by:

\(f(x)=a(x-h)^2+k\)

Where (h, k) is the vertex and a is the leading coefficient.

Line 1)

So, by substitution:

\(\text{Vertex}=(h,k)=(2,1)\Rightarrow y=a(x-2)^2+1\)

Lines 2-4)

Since (4, -3) is a point, y = -3 when x = 4:

\(-3=a(4-2)^2+1\)

\(-3=a(2)^2+1\)

\(-4=4a\Rightarrow a = -1\)

Line 5)

By substitution, we acquire our equation*:

\(y=-1(x-2)^2+1\)

The area of the trapezoid is multiplied by a factor of 4 when both bases and the height are doubled.

Trapezoids can be defined as quadrilaterals that have two parallel sides and two non-parallel sides.

The area of a trapezoid is given by the formula:

A = (b1 + b2) * h / 2

Where

If we double both bases and the height, we get:

b1' = 2 * b1 = 2 * 5 mm = 10 mm

b2' = 2 * b2 = 2 * 7 mm = 14 mm

h' = 2 * h = 2 * 6 mm = 12 mm

Now we can calculate the area of the new trapezoid:

A' = (b1' + b2') * h' / 2

A' = (10 mm + 14 mm) * 12 mm / 2

A' = 12 * 12 mm^2

A' = 144 mm^2

Therefore, the area of the trapezoid is multiplied by a factor of 4 when both bases and the height are doubled.

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Explanatory variable: The type of pill the men took each day.

Response variable: Whether a subject had a heart attack.

We have been given that :

Participated candidates are 400

Men are divided randomly so we find out explanatory and response  variable.

The explanatory variable is the variable that is manipulated by the researcher. Explanatory Variable also known as the independent or predictor variable, it explains variations in the response variable; in an experimental study, it is manipulated by the researcher.

Response variable: Response Variable is the result of the experiment where the explanatory variable is manipulated. It is a factor whose variation is explained by the other factors. Response Variable is often referred to as the Dependent Variable or the Outcome Variable.

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It takes approximately 22.4 seconds for the tank to empty.

(a) To find the cross-sectional area of the tank at height y, we note that the tank is conical and use the formula for the area of a circle with radius r: A = πr^2. Since the radius of the tank varies with y, we express it in terms of y using similar triangles:

y / (225 cm) = r / (75 cm)

r = (y/225) * (75 cm)

Substituting this expression for r into the formula for the area, we get:

A(y) = π[(y/225) * (75 cm)]^2

= π(1/3) * y^2 / 4

Simplifying, we get:

A(y) = (π/12) * y^2 / 2

= (π/24) * y^2

Using this expression for A(y), we can write the differential equation for y(t).

(b) Taking the time derivative of the given equation and substituting in A(y) from part (a), we get:

d/dt [y^(3/2)] = -2g(π/24)y^2 / 2.2 cm^2

Simplifying and solving for dy/dt, we get:

dy/dt = - (4/3) * (g/2.2 cm^2) * y^(1/2)

This is a separable differential equation that can be solved by separating the variables and integrating:

∫ y^(-1/2) dy = - (4/3) * (g/2.2 cm^2) ∫ dt

2√y = (4/3) * (g/2.2 cm^2) * t + C

where C is the constant of integration. To determine C, we use the initial condition y(0) = 225 cm:

2√225 = (4/3) * (g/2.2 cm^2) * 0 + C

C = 30 cm

Substituting C into the equation above, we get:

2√y = (4/3) * (g/2.2 cm^2) * t + 30 cm

Squaring both sides and simplifying, we get:

y = [(3/4) * (2.2 cm^2/g)]^2 * (t - (4/3) * (2.2 cm^2/g) * 30 cm)^2

(c) The tank will empty when y = 0. Solving for t, we get:

t = (4/3) * (2.2 cm^2/g) * 30 cm

t ≈ 22.4 s

Therefore, it takes approximately 22.4 seconds for the tank to empty.

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Answer:

200.96 millimeters²

Step-by-step explanation:

How do we find the area of a circle?

Solving

Therefore, the area is 200.96 millimeters².

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Solution:

We know that:

Finding the area of the circle.

Answer:

The weight of the silver in the bar is approximately 6.3 ounces.

Step-by-step explanation:

To find the weight of the silver in the bar, you can multiply the total weight of the bar by the proportion of the bar that is silver. Since the proportion of silver in the bar is 84%, you can express this as a decimal by dividing 84 by 100: 84/100 = 0.84.

Then, you can multiply the total weight of the bar by this decimal to find the weight of the silver:

Weight of silver = total weight of bar * proportion of silver

= 7.5 ounces * 0.84

= 6.3 ounces

The measure of angle B is 57 degrees.

We can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to find the measure of angle ACD, which is equal to 180 - 33 = 147 degrees. Since AC and CB are parallel to AB and CD, respectively, we can use alternate interior angles to find that angle ABC is equal to angle ACD, so angle ABC is also 147 degrees.

Finally, we can use the fact that the sum of the measures of the angles in a quadrilateral is 360 degrees to find the measure of angle BCD, which is 360 - 147 - 33 = 180 degrees.

Since AB and CD are parallel, we can use alternate interior angles to find that angle B is equal to angle BCD, so angle B is also 180 - 33 - 147 = 57 degrees.

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Answer:

Hi! In order to determine which answer is correct, remember that if an ordered pair is a solution of the inequality, then the ordered pair will satisfy the inequality. Let's plug each of these ordered pairs into the inequality.

A. 5, 0

Substitute 5 and 0 for x and y.

\(0 > \frac{3}{5} (5) - 2\)

0 > 1 is not true. Therefore, A is NOT correct.

B. 0, -2

Substitute 0 and -2 for x and y.

\(-2 > \frac{3}{5} (0) -2\)

-2 > -2 is not true. Therefore, B is NOT correct.

C. 1, 1

Substitute 1 and 1 for x and y.

\(1 > \frac{3}{5} (1) - 2\)

1 > \(-\frac{7}{5}\) is true. Therefore, C. 1, 1 is CORRECT.

D. -5, -6

Substitute -5 and -6 for x and y.

\(-6 > \frac{3}{5} (-5) - 2\)

-6 > -5 is not true. Therefore, D is NOT correct.

Hope this helps!

As from question asking the probability of A be the event "the outcome is a divisor of 4".

According to given table there are three divisor of 4 i.e 1 and 2 and 4 so the probability for A is:

The reflection of triangle with respect to y axis is P'(-3,-2). Q'(1, -2), R'(-2,7)

How does reflection relate to the y axis?

The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the y-axis as (-x, y).

What does a reflection mean in mathematics?

A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

For the reflection we need to see first the axis then we will fix that coordinate of the axis like in this case we have y axis so y coordinates will be fix and for x coordinate we will do in opposite direction like for 3 it will be -3 , for -1 it will be 1 and for 2 it will be -2

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Answer:

1 one

Step-by-step explanation:

L=1/8*2*22/7*4

=22/7

=π m

The measure of length of OB is 4m and the angle of O is 45 degrees. The exact length of AB will be π m.

Angle bisectors are lines that bisect the considered angle. Bisect refers to splitting into two equal parts.

Therefore, the bisected parts of the considered angle are half of the original angle.

The measure of length of OB is 4m and the angle of O is 45 degrees.

The exact length of AB

\(L = 1/8 \times 2\times\dfrac{22}{7}\times4\\\\= 22/7\\\\=\pi m\)

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Answer:

64-degree ( Alternate angles)

Answer:

y = 64 degree

Step-by-step explanation:

angle y =  64 degree (being alternate interior angles)

y° = 64°

Answer:

In 11 weeks they will both be 162lbs each

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

Answer:

Step-by-step explanation:

An altitude is a line segment that meets the side opposite the vertex at right angles. The line also has to go through the vertex.

The only line that does both those things is DE.

The Variance is 0.0526 and standard deviation is √0.0526.

Given that: Sample size (n) is 8 and the summation of squares of x values (Σx2) = 87a. Calculation of varianceFirst, we need to calculate the sample mean

μ=Σx/n=16/8=2∑(x−μ)2=∑(x2−2xμ+μ2)=(Σx2−2μΣx+nμ2)/n=87−2(2)(16)+2^2/8=7Variance=s2=∑(x−μ)2/n=7/8=0.875

Calculation of Standard deviation:

Standard deviation=s=√s2=√0.875=b.

Calculation of variance

Sample size (n) is 36 and the summation of x values

(Σx) = 371μ=Σx/n=371/36=10.31∑(x−μ)2=Σx2−2μΣx+nμ2=∑x2−(Σx)2/n=nσ2=Σ(x−μ)2σ2=∑(x−μ)2/n=320.972/36=8.92Variance=s2=∑(x−μ)2/n=8.92

Calculation of Standard deviation:Standard deviation=s=√s2=√8.92=c.

Calculation of varianceSample size (n) is 19 and the summation of squares of x values (Σx2) = 19 and Σχ= 18μ=Σx/n=18/19∑(x−μ)2=Σx2−2μΣx+nμ2=19−2(18/19)19+(18/19)2=19/361σ2=∑(x−μ)2/n=19/361Variance=s2=∑(x−μ)2/n=0.0526

Calculation of Standard deviation:

Standard deviation=s=√s2=√0.0526

Therefore, the variance and standard deviation for samples with the given statistics are:a. Variance is 0.875 and standard deviation is √0.875b. Variance is 8.92 and standard deviation is √8.92c.

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Answer:

Your answer is the 4th answer.

Step-by-step explanation:

In order for something to be a function, each output can only have one input. Because the output 4 is listed twice, this is not a function.

Answer:

the third one

Step-by-step explanation:

it would have to y values for the one x value 3 so it would not pass the pencil line test

1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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Answer:

Solution,

Onions less than 60 grams = 2 --> Pickling

Onions greater than 120 grams = 5 + 3 = 8 --> Market

Onions between 60 and 120 = 13---> Processing

Total frequency = 2 + 8 + 13 = 23

Now,

\(x = \frac{13}{23} \times 360\)

\(x = 203.48\)

\(x = 203.5\)

Hope this helps ..

Good luck on your assignment...

Answer:

x=190°

Step-by-step explanation:

find the frequency of the given numbers dividing by their numbers

onions less than 60g=(2+2/2)=²/9

onions greater than 120g=(5+3/2)= 4 (4+3/2). =3.5/9

To convert into degrees so that they can fit in the bar graph multiply the frequencies by 360 that is:

picking=²/9×360=80°

market=3.5/9×360=90°

x=360°-90°-80°

x=190°

confirmation

pie chart° add up to 360°

picking=80°

market=90°

x=190°

190°+80°+90°=360°

The indefinite integral of\(\int\limits^a_b {(x+5)}\sqrt{2-2} \, dx\)  is \((2/5)(2-x)^{5/2} - (14/3)(2-x)^{3/2} +C\) 

To find the indefinite integral of ∫(x + 5)√(2 – x) dx by making a change of variables, follow these steps:

1. Choose a substitution for one of the variables. Let's substitute u for (2-x):
  u = 2 - x

2. Differentiate both sides of the equation with respect to x to find du/dx:
  du/dx = -1

3. Rearrange the equation to isolate dx:
  dx = -du

4. Substitute the expressions for u and dx back into the integral:
  ∫(x + 5)√(2 – x) dx = ∫(2 - u + 5)√u (-du)
 

Simplify the expression:
  ∫(7 - u)√u (-du)

5. Now, evaluate the integral:
  -∫(7 - u)√u du

6. Distribute the -1 into the integrand and split the integral into two separate integrals:
  ∫(u√u - 7√u) du

7. Rewrite the integrals using exponents instead of radicals:
  ∫(u^(3/2) - 7u^(1/2)) du

8. Integrate each term separately:
  (2/5)u^(5/2) - (14/3)u^(3/2) + C

9. Substitute back the original variable, x, for u:
  (2/5)(2-x)^(5/2) - (14/3)(2-x)^(3/2) + C

Therefore, the indefinite integral of ∫(x + 5)√(2 – x) dx is  (2/5)(2-x)^(5/2) - (14/3)(2-x)^(3/2) + C.

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Answer:

40% of the band members are eighth graders.

Step-by-step explanation:

There can only be a total of 100%.  The problem already gives us the percentages of sixth graders and seventh graders, and it tells us that there are only eighth graders left.  Subtract the sum of 40 and 20 from 100 to get your answer.

100% - (40% + 20%) = 40%

Answer:

-10xy

Step-by-step explanation:

Answer:

-10xy

Step-by-step explanation:

distributive property

5*-2=-10

-10xy

Even though dividing a fraction by a whole number might be challenging, it is simple to achieve with a few steps. By placing the full number above 1, you must first divide it into a fraction. After that, multiply the fraction you are dividing by the inverted version of the fraction. Lastly, simplify the response as much as possible.

For instance, to multiply 3/4 by 2:

Put 2 over 1, making it 2/1, to make it a fraction.

To get 1/2, invert 2/1.

To get 3/8, multiply 3/4 by 1/2.

Divide the numerator and denominator by 3 to get 1/4, which is the simplest representation of the fraction 3/8.

Hence, 1/4 is equivalent to 3/4 when divided by 2.

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Answer:

Step-by-step explanation:

hello,

let's say that the number we are looking for is n

the sentence means

5n-40=50

hope this helps

Answer:

The question is simply a written version of an equation.

Where it says "a number", let us use the variable x.

5 * x - 40 = 50

5x - 40 = 50

x - 8 = 10

x = 18

I am not sure which of the equations are depicted, but I hope this helps!

Answer:

7. is not congruent 8. is congruent and 9. is congruent

Step-by-step explanation:

hope this helps

Answer:

1:2

Step-by-step explanation:

You didn't really specify, but I'm going to assume you meant as simplified as possible. If you write it as a fraction, it will be ½ or as a decimal it will be 0.5.

Answer:

1:2

Step-by-step explanation:

Simplifying a ratio is like simplifying a fraction.

Simply put the number to the left as the numerator, and the number to the right as the denominator.

In this case, 3/6 = 1/2.

Hence, plug the numbers right back in and you get 1:2.

Hope this helped!

square, the points (4,3) (7,3) (4,0) (7,0) add up to become a square!