Vlad tried to solve an equation step by step.

-8p 14 = 42

-8p = 28 step 1

p= -3.5 step 2

Find Vlad's mistake.

Choose 1 answer:

A)Step 1

B)Step 2

C)Vlad did not make a mistake

Answer:

25 is the answer.

By solving the proportion you cross multiply 15*5

and divide the answer, 75, by 3

which is 25

Step-by-step explanation:

Answer: m < 1 or m > 7

The correct answer is m < 1 or m > 7.

Step-by-step explanation:

Hope this helps =)

The required solutions of the functions are given as follows,

1. f(−7) = 35

2. f(−1) =  -1

3. f(0) =  1

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
1 .
for x = -7
f(x) = x² + 2x
f(-7) = (-7)² + 2(-7) = 35

2.
for x = -1
f(x) = x² + 2x
f(−1) = (-1)² + 2(-1) = -1

3.
For x = 0
f(x) = x + 1

f(0) = 0 + 1 =  1

Thus, the required solutions are given as follows,

1. f(−7) = 35

2. f(−1) =  -1

3. f(0) =  1

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Answer:

Step-by-step explanation:

15% of 400

15/100*400

15*400/100

6000/100

60

therefore ur answer is 60

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\( \frac{15}{100} \times 400 \\ =15 \times 4 \\ = 60 \)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

Answer:

A)

Step-by-step explan

Answer:

if there are 4 walls then it would be 6x4

Step-by-step explanation:

6x the number of walls

Answer:

54.45 in²

Let the base and height be 9.9 inches and 5.5 inches respectively.

Formula;

Area of parallelogram = Base × Height

Substitute the base and the height in the formula:

Evaluate the area of the parallelogram:

Answer:

54.45 in²

Step-by-step explanation:

Formula

Area of a parallelogram = base × height

If you turn the parallelogram so that the sides that measure 9.9in are the base, you will see that 5.5in is the height (refer to the attached diagram).  Therefore, we can use the formula with these values to calculate the area.

Given:

⇒ area = 9.9 × 5.5 = 54.45 in²

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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Answer:

E

Step-by-step explanation:

Like and give 5 star rating

Answer:

Rick: 2 miles

Tina: 1,5

Step-by-step explanation:

60mn=1h

reck: 1/2x60÷15=2

tina: 1/4x60÷10=1,5

The distance each hiked in 1 hour is for Tina 3/2 miles and for rick 1/2 miles.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

Rick hiked 1/2 mile every 15 minutes or 1/4 hour.

Tina 10 minutes to hike 1/4 mile.

We have to find the distance each hiked in 1 hour.

According to given question we have

Rick:

1/2 miles= 15 minutes or 1/4 hour

1 miles=  1/4*2=2 hour

2 hour =1 miles

1 hour=1/2 miles

Tina:

1/4  miles = 10 minutes or 10/60=1/6 hour

1 miles=  =1/6*4=2/3 hour

2/3 hour=1 miles

1 hour = 1*3/2=3/2 miles

Therefore, the distance each hiked in 1 hour is for Tina 3/2 miles and for rick 1/2 miles.

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The surface area of the sphere, to the nearest whole number, is 1318 cm².

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The volume of a sphere is expressed as:

Volume =  (4/3)πr³

The surface area of a sphere is expressed as:

SA = 4πr²

Where r is the radius of the sphere and π is the mathematical constant pi.

Given that the volume V is 4500 cm³.

First, we solve for the radius:

Volume =  (4/3)πr³

4500 = (4/3)πr³

4500 × 3 = 4πr³

13500 = 4πr³

r³ = 13500/4π

r = ∛( 13500/4π )

Now that we have the radius, we can calculate the surface area of the sphere using the formula:

SA = 4πr²

Substituting the radius we found:

SA = 4 × π × ∛( 13500/4π )²

SA = 1318 cm²

Therefore, the surface area is approximately 1318 cm².

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Answer:

im not sure im sorry

Step-by-step explanation:

not sure

The function is continuous only if m = 7.

If the function is continue, then the value of the function needs to be the same one in both pieces of the function when we evaluate in x = -2

That means that:

f(-2) = f(-2)  (trivially)

Replacing the two pieces of the function we will get:

m*(-2) - 6 = (-2)^2 + 10*(-2) - 4

now we can solve that equation for m.

-2m - 6 = 4 -20 - 4

-2m = -20 + 6 = -14

m = -14/-2 = 7

m = 7

that is the value of m.

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The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

x = 3

Step-by-step explanation:

This is in vertex notation which means that it is written in y = (x-h)^2 + k format where the vertex is (h,k). In this case the vertex is (3,2) which means that at the x-axis of 3, that is where the parabola is mirrored and is in fact the axis of symmetry

If a sample consists of 600 test scores, 516 of them would be at or below the 86th percentile. If a sample consists of 600 test scores, 228 of them would be at or above the 62th percentile.

A percentile is a score that compares a specific score to the scores of the other members of a group. It displays the proportion of other scores that a given score outperformed. For instance, if you have a test score of 75 and are placed in the 85th percentile, it signifies that your score is greater than those of 85% of other test takers.

Given that,

In general, 70 % of the values in a data set lie at or below the 70th percentile.

20 % of the values in a data set lie at or above the 20th percentile.

Generally percentile defines the percentage of a data set that is below or at a value that is being considered.

Hence the percentage of the values of a data set that lies below or at the 16th percentile is  16%

Also  the values of a data set that lies below or at the 24th percentile is  24%

Given a sample of 600 test scores , the number of test scores that will be at or below the 86th percentile is 86% of  600 which is mathematically represented as:

K = \(\frac{86}{100}\) × 600

K = 516 test scores

Given a sample of 600 test scores , the number number of test scores that will be above  the 62 th percentile is (100 - 62 = 38 )% of  600 which is mathematically represented as:

a = \(\frac{38}{100}\) × 600

a = 228 test scores.

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If the function f(x)= 2x – 3 and g(x) = 3/2x + 1 then g(4) < f(4) is a true statement?

A function is a relationship or expression involving one or more variables.  It has a set of input and outputs.  Each input has only one output.  The function is the description of how the inputs relate to the output.

A function can also be said to be a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. Let A & B be any two non-empty sets; mapping from A to B will be a function only when every element in set A has one end, only one image in set B.

Functions are generally represented as f(x).

Let , f(x) = \(x^{3\\}\).

It is said as f of x is equal to x cube.

Functions can also be represented by g(), t(),… etc.

For g(4) < f(4);

g(4) = 3/2(4) + 1

g(4) = 3/9

f(4) = 2(4) - 3

f(4) = 8 - 3

f(4) = 5

Therefore; g(4) < f(4)

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Answer:

\(x = \frac{9}{ \sqrt{2} } = \frac{9 \sqrt{2} }{2} \)

Joel be not able to make a right triangle with his fence because the given dimensions are not satisfying for Pythagoras theorem.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Dimensions of triangle he has to use for fencing are

15 feet, 8 feet, and 20 feet.

For making it a right triangle it must satisfy the "Pythagoras theorem" which states that

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

H²=B²+P²

20²=15²+18²

400=225+64

400≠289

No, it will not be able to make a right triangle.

Hence, Joel will be not able to make a right triangle with his fence because the given dimensions are not satisfying for pythagoras theorem.

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The complete question is given below:

Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 15 feet, 8 feet, and 20 feet long.

1. Will he be able to make a right triangle out of his fence? Why or why not?

Answer:

X =0

Step-by-step explanation:

6x + 4 = 6x-10

6x - 6x = -10 - 4

0 ≠ -14

Step-by-step explanation:

Hey there!

Let the unknown slope be M2.

The given equation is;

15x + 12y = -144

From equation;

\(slope( m) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} \)

\(m = \frac{ - 15}{12} \)

\(m = \frac{ - 5}{4} \)

For the condition of perpendicular lines;

\(m \times m2 = - 1\)

\( \frac{ - 5}{4} \times m2 = - 1\)

\( - 5m2 = - 4\)

\(m2 = \frac{ - 4}{ - 5} \)

Therefore, the slope is 4/5.

Hope it helps....

The perimeter of the figure with side length of 5 units is 50 units

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

Shape = rectangle

Smaller shapes = squares

Side lengths = 5 units

The perimeter of the figure is calculated as

Perimeter  = Number of visible sides * Side length of the square shape

In this case, we have

Number of visible sides = 10

Substitute the known values in the above equation, so, we have the following representation

Perimeter  = 10 * 5

Evaluate the products

Perimeter  = 50 units

Hence, the perimeter is 50 units

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Answer:

Step-by-step explanation:

sin x = opposite / hypotenuse

sin x = b / c

cos x = adjacent / hypotenuse

cos x = a / c

tan x = opposite / adjacent

tan x = b / a

For the given velocity function , the object will not return to the origin .

In the question ,

it is given that ,

the velocity function is v(t) = { t/35  , 0 ≤ t ≤ 70

                                               { 2    ,  70 ≤ t ≤ 175

                                               { 7 - t/35  ,   175 < t  .

So , For t ≤ 175 , velocity is positive ,

So , \(\int\limits^T_0 {v(t) } \, dt\)  = \(\int\limits^{70}_0 {t/35 } \, dt\)  +  \(\int\limits^{175}_{70} {2 } \, dt\)  + \(\int\limits^{T}_{175} {(7 - t/35) } \, dt\)

On integrating ,

we get ,

x(T) = [t²/70]⁷⁰₀  + [2t]¹⁷⁵₇₀  + [7t - t/70\(]^{T} _{175}\)

x(T) = (70 - 0) + (350 - 0) + (7T - T²/70) - (1225 - 875/2)

x(T) = 420 + 7T - T²/20 - 1575/2

x(T) = -T²/20 + 7T - 735/2

x(T) = ( -T² + 140T - 7350)/20

For the object to return to the origin , x(T) = 0

So , (-T² + 140T - 7350)/20 = 0

T² - 140T + 7350 = 0

Therefore , Discriminant (D) = b² - 4ac

= (-140)² - 4(1)(7350)

= 19600 - 29400

= -9800 < 0 .

So , the root is imaginary , hence at no value of T , the object will not return to the origin for the given information .

Therefore , the object will not return to the origin .

The given question is incomplete , the complete question is

An object at the origin at time has velocity  

                                      v(t) = { t/35  , 0 ≤ t ≤ 70

                                               { 2    ,  70 ≤ t ≤ 175

                                               { 7 - t/35  ,   175 < t  .

measured in meters per second, when, if ever, does the object return to the origin ?

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Answer:

A, B

Step-by-step explanation:

Square both sides

5x+1=sqr7        (sqr is square root)

Isolate x

x=sqr7-1/5

Because the square root can also be negative, -sqr7 is also an answer

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

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Given:

The number of pedestrian intoxicated and driver is not intoxicated is 250.

The number of pedestrian intoxicated and driver is intoxicated is 58.

Total number of people is 58+85+250+597=990

The probability that the pedestrian was intoxicated is,

Answer: probability is 0.3111

Answer: 11.7

Step-by-step explanation: b=2(A/h)=2(49.1/8.4)=11.69

Answer:

g = 8

Step-by-step explanation:

Hello!

We can solve for g by isolating the variable.

The value of g is 8.

Answer:

\( \sf \: g = 8\)

Step-by-step explanation:

Now we have to,

→ find the required value of g.

The equation is,

→ 2.8(g - 6) + 1.06 = 6.66

Then the value of g will be,

→ 2.8(g - 6) + 1.06 = 6.66

→ 2.8g - 16.8 = 6.66 - 1.06

→ 2.8g - 16.8 = 5.6

→ 2.8g = 5.6 + 16.8

→ g = (22.4)/(2.8)

→ [ g = 8 ]

Hence, the value of g is 8.