An Alloy Contains Copper And Zinc In The Ratio 3:7. Find The Mass Of The Metal In 750g Of Alloy (2024)

The domain is all the possible input values, and the range is all the possible output values.

So according to this function (Given in the question).

The domain is [-3, 5] and the range is [-5, 4]

That is all to this question.

Since the triangles are similar, we have that

[tex]\frac{50}{40}=\frac{x}{52}[/tex]

then

[tex]x=\frac{52\times50}{40}=65[/tex]then the answer will be D) 65

An equation to correctly match this scenario would have to include both separate products. The current order which is 384 cans of food, includes both fruits and vegetables, and therefore any expression that does not include them both would give a wrong answer and the order would not be properly met.

The correct scenario is;

[tex]\begin{gathered} x=Number\text{ of minutes for fruit cans} \\ y=\text{Number of minutes for vegetable cans} \end{gathered}[/tex]

This way you can produce both at a maximum without overproducing one and underproducing the other.

Answer:

≠

Step-by-step explanation:

7/5 = 1.4

15/10 = 1.5

so 7/5 is not equal to 15/10

the good answer is ≠

Absolute Minimum: an absolute minimum point is a point where the function obtains its least possible value.

The given function :

[tex]f(x)=x^4-4x^3-x^2+12x-2[/tex]

In the graph of the f(x) , the least value of x of the given curve is : (-0.939)

and the f(x) at x = (-0.939) is -10.065

The absolute minimum value is (x,y) = (-0.939, -10.065)

To round off in the nearest hundredth : (x, y) = (-0.94, -10.07)

Answer : (x, y) = (-0.94, -10.07)

When two lines are perpendicular, the slopes of the lines m1 and m2 are related such that

m1m2 = -1

from the given equation comparing with tyhe general form of the equation of a line (y = mx + c)

m1 = 4/3

The slope of the perpendicular line is -3/4

The equation of the line

y- -1 = -3/4(x - -4)

y + 1 = -3/4(x + 4)

y + 1 = -3x/4 - 3

Subtract 1 from both sides

y + 1 - 1 = -3x/4 - 3 - 1

y = -3x/4 - 3 - 1

y = -3x/4 - 4

This is the standard form of the equation

Given:

The volume of the hemisphere = 281,250

Find-:

Radius of hemisphere

Explanation-:

The volume of the hemisphere is:

[tex]V=\frac{2}{3}\pi r^3[/tex]

Given volume is 281250

[tex]\begin{gathered} V=\frac{2}{3}\pi r^3 \\ \\ 281250=\frac{2}{3}\pi r^3 \\ \\ r^3=\frac{281250\times3}{2\times\pi} \\ \\ r^3=134286.9832 \\ \\ r=51.209 \end{gathered}[/tex]

So, the radius is 51.209 cm

The slope of a line graph, we need to pick two point on the line.

It is better to pick points that meet the grids, so we can have its exactly coordinates.

Also, since we will need the y-intercept, one of the points can be this.

The y-intercept is the point where the line intercepts the y-axis, its x value is always 0, and we can see that it happens, in this case, at y = -8, so the point is (0, -8), and the y-intercept is -8.

Now, we can look at any other point. We can see that one point that meets the grids is the point at x = 3 and y = 1, so at point (3, 1).

The slope, m, can be, then, calculated as:

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{1-(-8)}{3-0}=\frac{1+8}{3}=\frac{9}{3}=3 \end{gathered}[/tex]

So, the slope is 3.

Answers:

Slope: 3

y-intercept: (0, -8)

The line in the slope-intercept form is:

[tex]y=mx+b[/tex]

where m is the slope and b is the y value of the y-intercept.

So, in this case, we have:

[tex]\begin{gathered} m=3 \\ b=-8 \\ y=3x-8 \end{gathered}[/tex]

Which is exactly the same as the equation given, y = 3x - 8, so the equation given corresponds to the graph given.

The rate of change is 3.

The initial value is 6.

Step - by - Step Explanation

What to find?

• Rate of change.

,

• Initial value.

Given:

y = 3x + 6

The rate of change is also the same as the slope.

To find the slope of the gien equation, compare the equation with y=mx + b.

Where m is the slope (rate of change).

Comparing the two equations, m = 3

Hence, the rate of change is 3.

The initial value also known as the y-intercept, is the value of y at x=0.

y = 3(0) + 6

y = 6

Hence, the initial value is 6.

ANSWER:

A rotation of 90° and then a translation left 2, up 4.

STEP-BY-STEP EXPLANATION:

Since r (90, 0) is the first and means a 90 ° rotation and that T (-2, 4) is a translation of 2 units to the left (because it is negative) and 4 units up (because it is positive) , the answer is the option "A rotation of 90° and then a translation left 2, up 4."

[tex]m=5\text{ }\sqrt[]{5}[/tex]

STEP - BY - STEP EXPLANATION

What to find?

The value of m.

To find the value of m, we take the proportion of the sides of the triangles.

That is;

adjacent of the bigger triangle/hypotenuse of the bigger triangle = adjacent of the smaller triangle / hypotenuse of the smaller triangle.

That is;

[tex]\frac{m}{20+5}=\frac{5}{m}[/tex][tex]\frac{m}{25}=\frac{5}{m}[/tex]

Cross-multiply

[tex]m^2=25\times5[/tex]

Take the square root of both-side of the equation.

[tex]m=\sqrt[]{25\times5}[/tex][tex]m=5\sqrt[]{5}[/tex]

we have the formula

[tex]R=\log _{10}\frac{I}{I_0}[/tex]

we have

R=9.2

I0=1

substitute in the given equation

[tex]\begin{gathered} 9.2=\log _{10}\frac{I}{1} \\ 9.2=\log _{10}I \\ I=10^{(9.2)} \\ \end{gathered}[/tex]

I=1,584,893,192.46

We are given an equation of a circle and a point. We are then asked to find if the point lies on the circle. The equation of the circle and the point is given below

[tex]\begin{gathered} \text{Equation of the circle} \\ (x+1)^2+(y-1)^2=16 \\ \text{Given point =(3,-1)} \end{gathered}[/tex]

To find if the point lies in the circle, we can use the simple method of substituting the coordinates into the equation of the circle.

This can be seen below:

[tex]\begin{gathered} (3+1)^2+(-1-1)^2=16 \\ 4^2+(-2)^2=16 \\ 16+4=16 \\ \therefore20\ne16 \end{gathered}[/tex]

Since 20 cannot be equal to 16, this implies that the point does not lie on the circle.

ANSWER: Option 3

Reflexive Property

In Math, especially in geometry, but also in other fiels.

What we have here is the Reflexive Property, that states that

If a= b+c then b+c=a

Multiplicative Identity

The multiplicative identity is the number 1, so every number times 1 is equal to itself and this property is called multiplicative identity.

Answer:

There is no question

Step-by-step explanation:

Have a nice day

Answer:l og2(16)=x log 2 ( 16 ) = x in exponential form using the definition of a logarithm. If x x and b b are positive real numbers and b b does not equal ...

Step-by-step explanation:

The equation for parabolic graphed function is y = [tex]-3x^{2} -24x-45[/tex].

What is parabola graph?

Parabola graph depicts a U-shaped curve drawn for a quadratic function. In Mathematics, a parabola is one of the conic sections, which is formed by the intersection of a right circular cone by a plane surface. It is a symmetrical plane U-shaped curve. A parabola graph whose equation is in the form of f(x) = ax2+bx+c is the standard form of a parabola.

The given graph has 2 intercept at x axis x = -3, x = -5

y = a (x+3) (x+5)

using the intercept (-4, 3)

3 = a (-4 +3)(-4+5)

3 = a (-1)(1)

a =-3

y = -3(x+3)(x+5)

y = -3 [x(x+5) +3(x+5)]

y = [tex]-3x^{2}-24x-45[/tex]

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b² - 4a

evaluated when a = 3 and b = 6 is:

6² - 4(3) =

= 36 - 12=

= 24

We are given that the total number of sales is 35.

According to the question, his goal is to make add-on sales during 85% of sales.

Therefore, the add-on sales would be:

[tex]\Rightarrow\frac{85}{100}\times35=29.75\approx30[/tex]

Hence, we will need to make 30 add-on sales to meet the goal.

Answer:

Step-by-step explanation:

As per the distance formula, the rate of the canoe in still water is 5 mph; the rate of the current is 1 mph.

Distance formula:

Distance is defined as the total movement of an object without any regard to direction. So, it is defined as the distance that covers how much ground an object despite its starting or ending point.

Distance = Speed x time

Given,

The Jones family took a 12-mile canoe ride down the Indian River in 2 hours. After lunch, the return trip back up the river took 3 hours.

Here we need to find the rate of the canoe in still water and the rate of the current.

According to the given question we know that,

Speed downriver = (12 mi)/(2 h) = 6 mph.

Speed upriver = (12 mi)/(3 h) = 4 mph.

Now, we need to find the canoe's rate in still water is the average of these speeds:

=> (6+4)/2 = 5 miles per hour.

Then the current's rate is calculated as the difference between the actual rate and the canoe's rate:

=> 6 - 5 = 1 miles per hour.

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Given the information on the problem,we have to divide the weight of the elephant's brain by the weight of the bird's brain, then, using the rules of exponents, we have the following:

[tex]undefined[/tex]

The limit of a function is the value that a function approaches as that function's inputs get closer and closer to some number.

The question asks us to estimate from the table:

[tex]\lim _{x\to-2}g(x)[/tex]

To find the limit of g(x) as x tends to -2, we need to check the trend of the function as we head towards -2 from both negative and positive infinity.

From negative infinity, the closest value we can get to before -2 is -2.001 according to the values given in the table. The value of g(x) from the table is:

[tex]\lim _{x\to-2^+}g(x)=8.02[/tex]

From positive infinity, the closest value we can get to before -2 is -1.999 according to the values given in the table. The value of g(x) from the table is:

[tex]\lim _{x\to-2^-}g(x)=8.03[/tex]

From the options, the closest estimate for the limit is 8.03.

The correct option is the SECOND OPTION.

Perpendicular line are reciprocals

slope of the original line = -1/9

slope of the perpendicular line = 9

Let Ashley can text x words in 60 minutes. Then equation for x is,

[tex]\begin{gathered} \frac{60}{45}=\frac{x}{60} \\ x=\frac{60\cdot60}{45} \\ =80 \end{gathered}[/tex]

Thus, Ashley text 80 words in 60 seconds.

We have:

L = 5 L's

I = 2 I's

P = 1 P

Y = 2 Y's

so:

[tex]\frac{10!}{5!2!2!}=7560[/tex]

Given:

The area of the rectangular floor is, A = 8- square feet.

The length of the rectangular floor is 6 feet less than twice the width.

The objective is to find the measure of length and breadth of the floor.

Consider the width of the rectangular floor as w, then twice the width is 2w.

Since, the length is given as 6 feet less than twice the width. The length can be represented as,

[tex]l=2w-6[/tex]

The general formula of area of a rectangle is,

[tex]A=l\times w[/tex]

By substituting the values of length l and width w, we get,

[tex]\begin{gathered} 80=(2w-6)\times w \\ 80=2w^2-6w \\ 2w^2-6w-80=0 \end{gathered}[/tex]

On factorizinng the above equation,

[tex]\begin{gathered} 2w^2-16w+10w-80=0 \\ 2w(w-8)+10(w-8)=0 \\ (2w+10)(w-8)=0 \end{gathered}[/tex]

On solving the above equation,

[tex]\begin{gathered} 2w+10=0 \\ 2w=-10 \\ w=\frac{-10}{2} \\ w=-5 \end{gathered}[/tex]

Similarly,

[tex]\begin{gathered} w-8=0 \\ w=8 \end{gathered}[/tex]

Since, the magnitude of a side cannot be negative. So take the value of width of the rectangle as 8 feet.

Substitute the value of w in area formula to find length l.

[tex]\begin{gathered} A=l\times w \\ 80=l\times8 \\ l=\frac{80}{8} \\ l=10\text{ f}eet. \end{gathered}[/tex]

Hence, the width of the floor of the shed is 8 ft.

when evalueatong the expression 13/15,

13 serves as the dividend and

15 is the divisor

Divisor is always placed outside the division sign and the dividend inside.

According to the option, you can see that 15 which is the divisor is placed outside and 13 is placed inside.

check the diagram below:

Option A is the correct answer in this case

hello

the question here is a word problem and we can either use alphabhets to represent the variables.

let lattes be represented by x and milk be represented by y

[tex]x+y=30[/tex]

since the total ounce of liquid is equals to 30, we equate the whole sentence to 30.

Answer:

A. x > -1

Step-by-step explanation:

x > -1

-------------->

<----0------------->

-1

x < -1

<-------

<------0------------>

-1

x ≥ -1

---------->

<---------|---------->

-1

x ≤ -1

<----------

<---------|---------->

-1

< and > represent an open circle

≤ and ≥ represent a closed circle

I hope this helps!

EXPLANATION

Since the Euclidean Geometry is the Geometry of the Flat Space, we can affirm that it's in two dimensions, where rotation and similarity make sense.

Although it may be expanded to three-dimensional space and beyond, it is still referred to as flat space. The concept is that all dimensions are equal and that they are equal everywhere in space.

The area of a square created on the diagonal of a rectangle, rectangular parallelepiped, or higher dimensional hyperrectangle is equal to the sum of the areas of the squares built on the mutually perpendicular sides of the rectangle, according to the Pythagorean Theorem.

This is known as Euclidean Geometry. Non-Euclidean Geometry, such as spherical, elliptic, hyperbolic, or relativistic geometry, is distinguished by the fact that the same Pythagorean theorem does not apply (though variations do).

So the true dilemma is when to utilize synthetic geometry instead of analytic geometry. Whenever possible, we could say. The challenge with synthetic geometry is that proofs and constructions frequently need some ingenuity on the prover's side.