Subtract.

78.9−5.64 Pls help

Answer:

hQIwgqhioiojhwvjia I VJILAija IOJA iojiao JIOA JIOJIA JIoj ijioJ Jjio ji jijioJI JIioj jio

Step-by-step explanation:

ADD 34

Answer:

x = -1 ; y=0

Step-by-step explanation:

We plug in the y, from the second equation, in the first one. By doing so we obtain:

-4x +3(x-1) = -2

-4x + 3x - 3 =-2

-x = 1

x= -1

Now we take this value and plug it in the second equation:

y = 1-1 = 0

Solution:

(-1,0)

Answer:

If four babies are born in a given hospital on the same day, the outcome that all four will be boys is

1/2^4=1/16

The outcome that three will be boys and one a girl would be 4x1/2^3x1/2=1/4

the outcome that two will be boys and 2 will be girls is

6x1/2^2x1/2^2=3/8

Step-by-step explanation:

Answer:

the closest answer is the last option, so I would say that is the correct one.

Step-by-step explanation:

4.5 x 4.5 x π =

20.25 x π =

63.6172....

Answer:

  9x -4y = -44

Step-by-step explanation:

You want the equation of the line through (-4, 2) and perpendicular to the line through (-4, 6) and (5, 2).

The equation of a line through (h, k) and perpendicular to the line through (x1, y1) and (x2, y2) can be written as ...

  (x2 -x1)(x -h) +(y2 -y1)(y -k) = 0

Using the given points, this becomes ...

  (5 -(-4))(x -(-4)) +(2 -6)(y -2) = 0

  9(x +4) -4(y -2) = 0

Expanding this gives the general form equation:

  9x -4y +44 = 0

Subtracting the constant gives the standard form equation:

  9x -4y = -44

The height of the tower is h = 0. 079 km

From the information given, we have that;

AB = 1.1 km

h = unknown

h = a tan 6

h = b tan 13

Equate the expression for height, we have;

a tan 6= b tan 13

But we have that;

a + b = AB = 1.1

Then, we get;

a tan 6 = (1.1 - a) tan 13

a tan 6 = 1.1 tan 13 - a tan 13

a( tan 6 + tan 13) = 1.1 tan 13

Divide by the coefficient, we get;

a = 0.756km

But we have that;

h = a tan 6

h = 0.756 tan 6

h = 0. 079 km

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Answer:

Step-by-step explanation:

The continuous division method is an effective method to determine the GCF of two or more numbers, aside from the listing method where we are listing down the common factors before determining the greatest among them.

In continuous division, we are just simply dividing the numbers by their common factors until such time that we find no more common factors except for 1 to them to be divided. After which, we will just multiply the common factors that we used to divide them. The result will be our GCF. Let us try the exercise given above:

1. Find the GCF of 24 and 72

               2   /    24      72

               2   /     12      36

               2    /      6       18

               3    /      3        9

                   /       1        3

Since we keep on dividing the numbers by 2 for 3 repetitions, we arrived at 3 and 9 by which  we divide by 3 and we get 1 and 3 which we can no longer divide. So the GCF is: 2x2x2x3 = 24

Therefore, the GCF of 24 and 72 is 24.

2. Find the GCF of 24, 32 and 48

                   2  /   24   32    48

                  2   /    12    16   24

                   2  /     6     8     12

                        /     3     4      6

So the GCF is: 2x2x2 = 8

Therefore, the GCF of 24, 32 and 48 is 8.

3. Find the GCF of 18, 27 and 45.

                3  /  18     27     45

                3  /    6      9      15

                    /    2      3       5

So the GCF is: 3x3 = 9

Therefore, the GCF of 18, 27 and 45 is 9.

4. Find the GCF of 24 and 36.

            2   /  24      36

            2   /  12       18

            3   /   6         9

                 /   2         3

So the GCF is 2x2x3 = 12

Therefore, the GCF of 24 and 36 is 12.

Answer:

The slope of the tangent line to the curve at the given point is -11/7.

Step-by-step explanation:

Differentiation is an algebraic process that finds the gradient (slope) of a curve.  At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.

Given function:

\(4x^2+5xy+y^4=370\)

To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.

Begin by placing d/dx in front of each term of the equation:

\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)

Differentiate the terms in x only (and constant terms):

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)

Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Use the product rule to differentiate terms in both x and y.

\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)

\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:

\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)

To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)

Therefore, slope of the tangent line to the curve at the given point is -11/7.

Answer:

£139.98

Step-by-step explanation:

£139.99

SAVE

£0.01

£139.98

VAT incl.

Answer:

(2,-7)

Step-by-step explanation:

Reflection rule for across the x-axis: \((x,y)\rightarrow (x,-y)\)

Using the rule and point (2,7):

\((2,7)\rightarrow(2,-7)\)

(2,-7) should be the correct answer.

Brainilest Appreciated.

Using the binomial distribution, it is found that the probabilities are given by:

a) 0.8681 = 86.81%.

b) 0.1319 = 13.19%.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem, we have that:

Item a:

The probability is P(X = 7), hence:

P(X = 7) = 0.98^7 = 0.8681 = 86.81%.

Item b:

The probability is:

P(X < 7) = 1 - P(X = 7) = 1 - 0.8681 = 0.1319 = 13.19%.

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The reflection about x-axis results in same x coodinate with oppositive of y coordinate. It can be expressed as,

Determine the coordinates of the vertices after reflection over the x-axis.

The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:

To make both inequalities true, we need to select values for a and b that satisfy the given conditions:

a < b: This inequality means that the value of a should be less than the value of b.

|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.

One possible solution that satisfies both conditions is:

a = -2

b = 1

With these values, we have:

-2 < 1 (a < b)

|-1| < |2| (|b| < |a|)

Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:

This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.

|b| < |a|:

This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.

By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.

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Step-by-step explanation:

867.5x ×2.8

is is equal to 2429x

Answer:

Answer is below

Step-by-step explanation:

A. 64 / 4 - 7

B. 9 / 4 = 2.25

A. (Each box is 16 pounds) (Rice weighs 9 pounds)

Answer:

12100

Step-by-step explanation:

If the number B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 from 1985 to 2007 where t = 0 correspond to year 1985

In order to determine the amount of federally insured banks that were there in 1990, we will first calculate the year range from initial time 1985 till 1990

The amount of time during this period is 5years. Substituting t = 5 into the modeled equation will give;

B ( t ) = − 329.4 t + 13747

B(5) = -329.4(5) + 13747

B(5) = -1647+13747

B(5) = 12100

This shows that there will be 12100 federally insured banks are there in the year 1990.

Answer:

x=17

Step-by-step explanation:

Since ABCD is a rectangle, ∠DAB=90.

∠DAB=∠DAC+∠BAC

90=(2x+4)+(3x+1)

90=5x+5

5x=85

x=17

Answer:

Domain: 0, 1, 2, 3, 4,

Range: 1, 2, 3, 4, 5,

Step-by-step explanation:

Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5,  therefore, the answer is:

The reasons for (1) and (2) are added below

One reason why it might be reasonable to model the relationship between time and height of the candle with a linear function is that the rate of change of the candle's height appears to be constant over time.

One reason why it might NOT be reasonable to model this relationship with a linear function is that the candle's height cannot continue to decrease indefinitely.

This means that the candle's height is bounded and cannot continue to decrease linearly forever.

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The dimension of the yard is  175ft x 125 ft.

Given that,

L = length = 2W-75 feet

P = perimeter = 600 feet

Since yard is have a rectangular size,

And rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

W = width;

Since, perimeter is 2 times of sum of length and width of rectangle.

P=2(L+W)

⇒600ft=2(L+W)

Divide each side by 2.

300 feet = L+W

L can be substituted.

300ft = 2W-75ft + W Take 75 feet off each side.

375 ft = 3W

Divide each side by three to get

W = 125 ft

It is 125 feet wide.

L=2W-75ft

L=2(125ft)-75ft

L=250ft-75ft

L=175ft

Thus dimension is 175ft x 125 ft.

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Answer:

B) 4,700

Step-by-step explanation:

6000 - 4000 = 2000

2000 in 15 year, find how much for each year

2000/ 15 = 133.3333333

133.3333333 estimated = 133

133 approximately for each year

1975 to 1980 is five years

133 x 5 = 665

4000 + 665 = 4665

4665 rounded the the nearest hundred

4700

Answer: Ratio 4:9 is also 49 . This ratio is in reduced form (no whole can be divided into both evenly).

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 9/4= 9/4 ÷ 2=?

2. 9/4 ÷2= 1.125

3. 1.125= 9/8 = 9:8

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

Answer:

The area of the rectangle is 72 square feet

Step-by-step explanation:

The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.

Given the function g(x) = f(x + 4) + 8, let's examine its features:

Domain:

The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f.  However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.

Range:

Similar to the domain, the range of the function g will depend on the range of the function f.

x-intercept:

The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.

0 = f(x + 4) + 8

By subtracting 8 from both sides:

-8 = f(x + 4)

Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.

y-intercept:

The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:

g(0) = f(0 + 4) + 8

g(0) = f(4) + 8

Again, the specific value of f(4) will depend on the behavior of the function f.

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Answer:

The measure of the angle \(b\) is approximately 44.040°.

Step-by-step explanation:

We need to apply Law of the Sine to determine the value of angle \(b\), since the length of the side opposite to this side and another side length and its opposite angle are known. That is:

\(\frac{3.6}{\sin b} = \frac{5.1}{\sin 100^{\circ}}\)

\(\sin b = \frac{3.6}{5.1}\times \sin 100^{\circ}\)

\(b = \sin^{-1}\left(\frac{3.6}{5.1}\times \sin 100^{\circ} \right)\)

\(b \approx 44.040^{\circ}\)

The measure of the angle \(b\) is approximately 44.040°.