find the value of each of the following a) 6+14÷7_2×3 ​

Answer:

90 km/hr

Step-by-step explanation:

If x is the speed of the slower car, and x+20 is the speed of the faster car, then:

5x + 5(x+20) = 1000

x + x + 20 = 200

2x + 20 = 200

x + 10 = 100

x = 90

Notice that the points on the plane are ordered almost forming a straight line; therefore, we can take two points and approximate the line of best fit using them.

The calculated value of x in the equation (x + 1) (x - 5) = 16 is 7

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

(x + 1) (x - 5) = 16

The above expression is the product of two factors

(x + 1) and (x - 5)

And the result is 16

Express 16 as 8 * 2

So, we have

(x + 1) (x - 5) = 8 * 2

By comparison, we have

x + 1 = 8 and x - 5 = 2

When evaluated, we have

x = 7 and x = 7

This means that the value of x in the equation is 7

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Given

Step-by-step explanation:

Might be a little easier to visualize if yo re-arrange it into y = mx + b form:

4x+ 5y = 20

5y = -4x + 20

y = - 4/5 x + 4         y-axis intercept at y = 4

                                x axis intercept is found by:

                                     0 = -4/5 x + 4

                                             - 4 = -4/5 x

                                                 x = 5

So===> plot the two intercept points ( 0,4)  and  ( 5,0)  and connect the dots

Answer:

-6x - 2y = 12

Step-by-step explanation:

Step-by-step explanation:

length of ladder =5 m

Angle formed = 65°

Let h be the Height of the top of the ladder from the ground

Height of the top of the ladder from the ground

SOH-CAH-TOA

Since the hypotenuse side is given and what we are to solve is the opposite side, use SOH

\(sinθ\:=\: \frac{opposite}{hypotenuse}\)

\(sin(65°)\:=\: \frac{opposite}{5\: m}\)

\(opposite\:=\:(5 \:m )\:sin(65°)\)

\(opposite\:=\:4.53 \:m\)

Please refer to the photo for the illustration

Answer:

No

Step-by-step explanation:

the graph fails the vertical line test

Answer:

25 square units

Step-by-step explanation:

Each side is 5 units.

5 x 5 = 25 square units

Hope that helps!

Answer:

a. volume= 784 is the answer

Answer:

0.793787

Step-by-step explanation:

Answer:

793.787 grams and 0.793787 kilograms

Step-by-step explanation: Sorry if it's wrong!

In the word problem,  The present ages of Ramesh and his elder brother are 20 years and 28 years.

What  is word problem ?

Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement. Determining whether two provided expression are equal with respect to a collection of rewritings is known as a word problem in computational mathematics.

Here let us take present age of Ramesh and His elder brother are 5x and 7x.

Now After 4 years their ages will be 3:4. Then,

=> \(\frac{5x+4}{7x+4}=\frac{3}{4}\)

=> 20x+16=21x+12

=> 21x-20x=16-12

=> x= 4

Then Present age of Ramesh = 5*4=20 years.

Present age of his elder brother = 7*4=28 years.

Hence The present ages of Ramesh and his elder brother are 20 years and 28 years.

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The points to be graphed are (6, 0) and (0, 3). The graph of the equation is shown in the attached image

y = - 1/2x + 3

In order to graph the equation of the line:

First, find the value of x when y = 0:

y = - 1/2x + 3 , when y = 0:

0 = - 1/2x + 3

1/2x = 3

x = 3 × 2

x = 6

Also, find the value of y when x = 0:

y = - 1/2x + 3, when x = 0:

y = - 1/2(0) + 3

y = 3

Therefore,  the values to be plotted on our graph are (6, 0) and (0, 3). The image of the graph is attached

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Equation representing person's systolic blood pressure

P= 0.005y² -0.03y +121

A. If Age is 43years systolic pressure is 128.96mm Hg.

B. If systolic pressure is 128.56 mm Hg then age is 42years.

As given,

Equation represent relation between systolic blood pressure 'P' mm Hg and age of the person 'y' years

P=0.005y² -0.03y +121 __(1)

A. For a person of age 43 years

Substitute y =43 in(1)

P = 0.005(43)² -0.03(43) +121

  = 9.245-1.29 +121

  =128.96 mm Hg

B. For a person's systolic pressure is 128.56 mm Hg

Substitute P = 128.56 in (1)

128.56=0.005y² -0.03y +121

⇒7.56= 0.005y² -0.03y

⇒y² -6y -1512=0

⇒y² -42y+36y-1512=0

⇒(y-42)(y+36)=0

⇒y=42 or -36

Age cannot be negative.

y=42years

Therefore, from a equation representing person's systolic blood pressure

P= 0.005y² -0.03y +121

A. If Age is 43years systolic pressure is 128.96mm Hg.

B. If systolic pressure is 128.56 mm Hg then age is 42years.

The complete question is:

A person's systolic blood pressure, which is measured in millimeters of mercury (mm Hg), depends on a person's age, in years. The equation:      P= 0.005y² -0.03y +121 gives a person's blood pressure, P , at age y years. A.) Find the systolic pressure, to the nearest tenth of a millimeter, for a person of age 43 years.

B.) If a person's systolic pressure is 128.56 mm Hg, what is their age (rounded to the nearest single year)?

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Along with proof of (a.) and (d.), (b.) Power tower: one level is a, (k + 1) levels is a raised to the power of a power tower with k levels, (c.) A(2, n) <= 2 ↑↑ n for all positive integers n, where ↑↑ denotes power tower notation.

The idea of a fully computable function that is not primitive recursive is illustrated by the recursively constructed mathematical function known as the Ackermann function. Since m and n are non-negative integers, it is commonly written as A(m, n).

a.) Prove using regular induction that \(A(1, n) \leq 2^n\) for all positive integers n:

Base Case: For n = 1, A(1, 1) = 2, which is equal to \(2^1\).

Inductive Hypothesis: Assume that \(A(1, k) \leq 2^k\) for some positive integer k.

Inductive Step: We need to show that \(A(1, k + 1) \leq 2^{(k + 1)}\). Using the recursive definition of A(m, n), we have \(A(1, k + 1) = A(0, A(1, k)) = 2^{(A(1, k))}\leq 2^{(2^k)}\) (by inductive hypothesis)\(< = 2^{(2^{(k + 1)})}\).

Therefore, by regular induction, we have proved that \(A(1, n) \leq 2^n\) for all positive integers n.

b.) A power tower with one level is defined as a, and a power tower with (k + 1) levels is defined as a raised to the power of a power tower with k levels.

c.) \(A(2, n) \leq 2\) ↑↑ n for all positive integers n, where ↑↑ denotes power tower notation.

d.) The recursive definition of a triple arrow-up notation for power towers is:

a ↑↑↑ 1 = a (base case)

a ↑↑↑ (k + 1) = a ↑↑ (a ↑↑↑ k) (recursive step)

This definition states that a triple arrow-up notation with one level is equal to the base value "a", and a triple arrow-up notation with (k + 1) levels is equal to "a" raised to the power of a triple arrow-up notation with "k" levels.

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Complete Question: ( Refer to image)

Answer:

75° degree angle

Step-by-step explanation:

Since the angle 105° is in the second quadrant, subtract 105° from 180° .

180-105=75

Answer:

Answer:

$319,000

Step-by-step explanation:

Answer:

\(y=-\frac{4}{5}x-\frac{21}{5}\)

Step-by-step explanation:

The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):

\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)

To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:

y = mx + b

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

Substituting m = -4/5, x = -4, and y = -1, we can solve for b:

-1 = (-4/5)(-4) + b

-1 = 3.2 + b

b = -4.2

Therefore, the equation of the line is:

y = (-4/5)x - 4.2

To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:

y = (-4/5)x - 4.2

y = (-4/5)(0) - 4.2

y = -4.2

So the y-intercept is (0,-4.2).

Using this point and the given point (-4,-1), we can draw a straight line passing through both points.

Here is a rough sketch of the graph:

     |

     |

     |     *

     |    /

     |   /

     |  /

-----*--------

     |

     |

     |

     |

     |

The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.

Hey there!

EQUATION:

6ac^2

ASSUMING:

= 6(2)(3)^2

SOLVING:

= 6(2)(3^2)

= 12(3^2)

= 12(3 * 3)

= 12(9)

= 108

Therefore, the answer should be: 108

Good luck on assignment & enjoy your day!

~Amphitrite1040:)

Answer: The radius of the circle is 5 3/8 inches.

Step-by-step explanation:

The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:

10 3/4 = (10 × 4 + 3)/4 = 43/4

So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:

r = (43/4) ÷ 2 = 43/8

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:

r = 43/8 = 5 3/8

Therefore, the radius of the circle is 5 3/8 inches.

Answer:5 3/4

Step-by-step explanation:

10 3/4 * 1/2

1/2 * 43/4 = 43/8

8/43=5 3/4

Answer: $94.8

Step-by-step explanation:

Answer:

There are at least two reasons to articulate assumptions underlying a research problem. First, these assumptions will guide the selection of research questions and/or the formation of hypotheses, as well as the interpretation of the data. Clearly stating the assumptions assists the reader in evaluating the merits of the study and the conclusions drawn from it. Second, to the extent that the researcher is aware of his/her assumptions, these can be incorporated into the study design as needed to promote the validity of the conclusions drawn from the study.

Step-by-step explanation:

A table that best represent the equation include the following: H. table H.

In order to determine the table that best represent the equation, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;

When the value of x = 1 in table F, the linear function is given by;

y = x - 12

y = 1 - 12

y = -11 (False).

When the value of x = 0 in table G, the linear function is given by;

y = x - 12

y = 0 - 12

y = -12 (True).

When the value of x = 2 in table G, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (False).

When the value of x = 0 in table H, the linear function is given by;

y = x - 12

y = 2 - 12

y = -10 (True).

When the value of x = 4 in table H, the linear function is given by;

y = x - 12

y = 4 - 12

y = -8 (True).

When the value of x = 6 in table H, the linear function is given by;

y = x - 12

y = 6 - 12

y = -6 (True).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

1/2

Step-by-step explanation:

Given the mathematical expression;

\( \frac {1}{3} + \frac{1}{6} = 0 \)

First of all, we would determine the lowest common multiple for 3 and 6.

Lcm = 6

\( \frac {1}{3} + \frac{1}{6} = \frac {2 + 1}{6} \)

\( \frac {2 + 1}{6} = \frac {3}{6} \)

\( \frac {3}{6} = \frac {1}{2} \)

Therefore, 1/3 + 1/6 = 1/2

Answer:

Answer:

92

Step-by-step explanation:

88 + C = 180

-88         -88

C  and B = 92

C is vertical to b so therefore they both have the same value which is 92.

Answer:

c and b are both 92°

Step-by-step explanation:

the straight line equals 180°.

take 180-88= 92°

b= 92°

then, you see how c is a vertical angle, across from b?

thus, making c= 92° also!

We know

D = RT

Where

D is distance

R is rate

T is time

It is given that Brand A scooter (the faster one) traveled 75 miles in 5 hours.

Given

D = 75

T = 5

Let's find R:

Brand A scooter's Rate = 15 mph

We know Brand A is 4 mph FASTER than Brand B. So,

Brand B is 4 mph slower than 15, hence Brand B's speed (rate) would be:

15 - 4 = 11 mph

From the answer choices,

the correct answer is D

Answer:

All students in each grade