Which value represents the zero of the linear function y= -32 + 21?
–24
-7
7
18​

Answer:

sum of the product 5+0.35=5.35

sum if product 0.75+8=8.75

Answer:

Step-by-step explanation:

product of 5 and 0.35 = 1.75

product of 0.75 and 8 = 6

their sum = 1.75 + 6 = 7.75

Hope this helps

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Answer:

12 children

Step-by-step explanation:

For this problem we can look for the GCF

The 60's factors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, and 60

Pretty sure you get it now

Anyways once we've done all of the Factoring we can look for the GCF

Which we would get as twelve

So the supplies can be distributed amongst 12 children equally

Answer:

The angle is usually the same and they I believe it would be 24.18 if it's not then sorry for wasting your time.

Answer:

boy:girls

5:4

64/4= 16

5 X 16 =80

there are 80 boys

Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

Answer: x=8

Step-by-step explanation:

the sum of the interior angles of a quadrilateral is 360  (number of sides-2 * 180)

so

\(14x-7+11x-2+93+76= 360\\25x + 160=360\\25x= 200\\x=8\)

Answer:

8

Step-by-step explanation:

The 'mean' is the same as the 'average'

( 7 + x + 5 + 3 + 2) / 5    =  5

 7+x+5+3+2 = 25

     x = 8

Answer: B. 34

Step-by-step explanation:

The solution to the equation does not exist

From the question, we have the following parameters that can be used in our computation:

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

Answer:

5

Step-by-step explanation:

5

Answer:

5

Step-by-step explanation:

It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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Base = 17 inches

Height = 12 inches

In the given figure, the shaded region is a triangle,

So, Area of a Triangle = 1/2 x base x Height

⇒ Area of a Triangle = 1/2 x 17 x 12

⇒ Area of a Triangle = 17 x 6

⇒ Area of a Triangle = 102 square inches.

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It would take Tracy and Dave approximately 4.8 hours to complete the task together. So, the correct option is C.

To solve this problem, we can use the formula:

time = work / rate

where work is the amount of work to be done (in this case, collecting signal strength data from each house), and rate is the rate at which the work is being done.

Let's start by finding Tracy's and Dave's individual rates:

Tracy's rate: 1 job / 8 hours = 0.125 jobs per hour

Dave's rate: 1 job / 12 hours = 0.0833 jobs per hour

Now, let's find their combined rate when they work together:

Combined rate = Tracy's rate + Dave's rate

Combined rate = 0.125 + 0.0833

Combined rate = 0.2083 jobs per hour

Finally, we can use the formula time = work / rate to find how long it would take them to complete the task together:

time = 1 job / 0.2083 jobs per hour

time ≈ 4.8 hours

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Answer:

$1.70

Step-by-step explanation:

If $8.50 is for 5 ounces divide both sides by 5. 5/5=1 and 8.50/5 is 1.70. So $1.70 is the price per ounce.

The dollar per ounce is 1.7 if $8.50 is for 5 ounces.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been given $8.50 for 5 ounces.

To determine the dollars per oz.

Since $8.50 is for 5 ounces

We can write this as a ratio :

$8.50: 5 ounces = dollars  : ounces

⇒ 8.5/5 = the dollars per oz

We have to divide by 5, and we get

⇒ the dollar per ounce = 1.7

Thus, the dollar per ounce is 1.7.

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Answer:

1 m

Step-by-step explanation:

To find the volume of a rectangular prism, multiply length x width x height

\((6.8)(4.4)j=29.92\\29.92j=29.92\\j=1\)

Answer:

51

Step-by-step explanation:

ABC is a inscribed angle.

This means ABC is 1/2 of the arc of AC.

\( \frac{1}{2} (16x - 26) = 5x + 11\)

\(8x - 13 = 5x + 11\)

\(3x = 24\)

\(x = 8\)

Plug in 8 for 5x+11,

\(5(8) + 11 = 51\)

Answer:

option (c)

Step-by-step explanation:

Given,

ABCD is a square.

AC and BD are diagonals

We know that,

Sides of the square make 90 degrees with each other.

And Diagonals bisect the opposite angles of the square.

Now,

\(\angle ABD = \dfrac{\angle ABC}{2}\)

\(\angle ABC = 90^\circ\)

\(\angle ABD = \dfrac{\angle ABC}{2}\)

\(\angle ABD = \dfrac{90^\circ}{2}\)

\(\angle ABD = 45^\circ\)

Hence, option (c) is correct.

Answer:

39/4 or 9 and 3/4

Step-by-step explanation:

multiply the numerator by 3 over 1

The option that shows a two-way conditional frequency table is option B as shown in the image attached.

A two-way conditional frequency table is a type of table that shows the frequency determined by two variables. In this case, the variables are:

Moreover, this table uses numbers from 0 to 1 to express frequency rather than percentages or numbers of people.

The correct option is option B because it meets the following requirements:

Answer:

Plug the x and y values to get it

Step-by-step explanation:

The dimensions of the actual painting are 32 inches by 40 inches.

option B.

The dimensions of the actual painting is calculated as follows;

scale factor = actual size/scaled size

4/1 = actual size/scaled size

Cross-multiply;

actual size = 4 x scale size

The actual sizes of 8 inches by 10 inches is calculated;

actual sizes = 4 x 8 inches, and 4 x 10 inches

actual sizes = 32 inches by 40 inches

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Answer:

\(\huge\boxed{x=\sqrt{174}-2}\)

Step-by-step explanation:

\(A_1=x^2cm^2\\\\A_2=(x+4)^2cm^2\\\\A_1+A_2=356\\\\x^2+(x+4)^2=356\qquad|\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\x^2+x^2+8x+16=356\qquad|\text{subtract 16 from both sides}\\\\2x^2+8x=340\qquad|\text{divide both sides by 2}\\\\x^2+2\cdot x\cdot2=170\qquad|\text{add}\ 2^2\ \text{to both sides}\\\\x^2+2\cdot x\cdot 2+2^2=174\qquad|\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+2)^2=174\to x+2=\pm\sqrt{174}\qquad|\text{subtract 2 from both sides}\\\\x=\sqrt{174}-2\ \vee\ x=-\sqrt{174}-2<0\)

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Activity 1: Obtain the differential equation of y = At^x, where A is a constant. To find the differential equation, we need to differentiate y with respect to t. Assuming A is a constant and x is a function of t, we can use the chain rule to differentiate y = At^x.

dy/dt = d(A\(t^x\))/dt

Applying the chain rule, we have:

dy/dt = d(A\(t^x\))/dx * dx/dt

Since x is a function of t, dx/dt represents the derivative of x with respect to t. To find dx/dt, we need more information about the function x(t).

Without further information about the relationship between x and t, we cannot determine the exact differential equation. The form of the differential equation will depend on the specific relationship between x and t.

Activity 3: Prove that y = \(4e^{(Ax + B)\), where A and B are constants, is a solution of the differential equation y'' - 25y = 0. To prove that y = \(e^{(Ax + B)\) is a solution of the given differential equation, we need to substitute y into the differential equation and verify that it satisfies the equation. First, let's calculate the first and second derivatives of y with respect to x:

dy/dx =\(4Ae^{(Ax + B)\)

\(d^2y/dx^2 = 4A^2e^{(Ax + B)\)

Now, substitute y, dy/dx, and \(d^2y/dx^2\) into the differential equation:

\(d^2y/dx^2 - 25y = 4A^{2e}^{(Ax + B)} - 25(4e^{(Ax + B)})\)

Simplifying the expression, we have:

\(4A^2e^(Ax + B) - 100e^{(Ax + B)\)

Factoring out the common term \(e^{(Ax + B)\), we get:

\((4A^2 - 100)e^{(Ax + B)\)

For the equation to be satisfied, the expression inside the parentheses must be equal to zero:

\(4A^2 - 100 = 0\)

Solving this equation, we find that A = ±5.

Therefore, for A = ±5, the function \(y = 4e^{(Ax + B)\) is a solution of the differential equation y'' - 25y = 0.

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Answer:

4    |    9    |    5    |    16

14   |    7    |    11    |     2

15   |    6    |    10   |     3

1     |    12   |    8    |    13

Note:

I'm not completely sure on this because this is my first one ever. But I hope it's correct! Please let me know!!!

exercise 1

1) 12 000 : 1,33 = 9022,55 €

exercise 2

1) 9200 : x = 100% : 2%

  (9200*2) : 100 = 184 rupees

(sorry dont know the other two ones)

Answer:

Step-by-step explanation:

i think 1

Answer:

See below.

Step-by-step explanation:

Here's a number line showing the points that represent the values of x that satisfy the equation x² = 16

       |---------------------------|---------------------------|

      -4                          0                           4

On this number line, I have marked the points -4, 4, which are the two solutions to the equation x² = 16. These values of x make the left-hand side of the equation equal to 16.