Finley's pumpkin had a mass of
6.5
6.56, point, 5 kilograms
(
kg
)
(kg)left parenthesis, start text, k, g, end text, right parenthesis before he carved it. After it was carved, the pumpkin had a mass of
3.9
 
kg
3.9kg3, point, 9, start text, k, g, end text.
What was the percent decrease in the mass of the pumpkin?

The value of a is 5, b is 4, c is 0, d is 3, e is 6 and R is 6 after following the long division method.

According to the question,

We have to divide 430 by 8 by following the long division method.

Note that when we follow long division method then the number by which we are dividing (divisor) is to be multiplied in such a way that the result remains less than the number in the dividend.

Now, we will solve it step by step.

In dividing 43 by 8, we have to multiply 8 by 5. Then, we get 40.

So, we have a = 5, b = 4 and c = 0.

Now, after this we have 30 and the number that we get after multiplication is 24. So, 3 has to be multiplied in 8 to get 24.

So, we have d = 3.

Now, when we will subtract 24 from 30, we will get 6.

So, we have e = 6.

And e is also the remainder, R. So, we have R = 6.

Hence, the values of a, b, c, d, e, and R are 5, 4, 0, 3, 6, and 6 respectively.

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Answer:

  x ≈ 2.09590327429

Step-by-step explanation:

You want the solution to 3^x = 10 using logarithms.

Taking logarithms of both sides of the given equation, we have ...

  x·log(3) = log(10)

Dividing by the coefficient of x gives ...

  x = log(10)/log(3)

  x ≈ 2.09590327429

__

Additional comment

If the logarithm to the base 10 is used, then this becomes ...

  x = 1/log₁₀(3)

The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.

For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.

<95141404393>

The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).

Taking the log of both sides, we get:

log(3^x) = log(10)

Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:

x * log(3) = log(10)

Next, we can divide both sides of the equation by log(3) to isolate the variable x:

x = log(10) / log(3)

Using a calculator, we can evaluate the right side of the equation:

x ≈ 1.46497

Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

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Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

Answer:

-8

Step-by-step explanation:

substitute

x=4

       into -3x+2(y-1):

x=3

-3x4+2x(3-1)

-12+2x(3-1)

-12+2x2

-12+4

= -8

Answer:

first question ans is 16 and second is 13

Step-by-step explanation:

Given

x=4 and y=3

3x+2(y-1)

3×4+2(3-1)

3×4+2×2

12+4

16Ans

Second question is

x+y×y

4+3×3

4+9

13 Ans

Answer:

a. False

b. True

c. False

d. False

Step-by-step explanation:

(a) is False, the reason is: 39 is odd number and Set A contains only even numbers.

(b) is true  Set A contains even natural numbers and set B contains odd natural numbers. There is nothing common between the two set. This implies that intersection of the two set is empty.

(c) is False, the reason is: 48 is even natural number and Set B contains only odd natural numbers.

(b) is False  Set A contains even natural numbers and set B contains odd natural numbers. The union of two sets is set of natural numbers not the set A.

If m = -5 or m = 3, the system of linear equations has no solution.

To determine the values of m for which the system of linear equations has no solution, we need to check the determinant of the coefficient matrix, which is:

| 3 m |

| m+2 5 |

The determinant is

=  (3 x 5) - (m x (m+2))

= 15 - m^2 - 2m

= -(m^2 + 2m - 15)

= -(m+5)(m-3)

So, for the system to have no solution, the determinant must be zero, so we have:

-(m+5)(m-3) = 0

This gives us two values of m: m = -5 and m = 3.

Thus, if m = -5 or m = 3, the system of linear equations has no solution.

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Answer:

(1, 6)

(2, 12)

(1.5, 9)

(2.5, 15)

#teamtrees #WAP (Water And Plant)

Answer:

84.78 inches cubed  - hope this helped :)

Step-by-step explanation:

formula - πr^2\(\frac{h}{3}\)

3 x 3 x 3.14 = 28.26

28.26 x 9/3

28.26 x 3

answer = 84.78

Answer:

84.78 inches cubed

Step-by-step explanation:

You need to comprehend the volume formula for cones

Volume Formula for Cones: V=1/3hπr²

Your measurements:

9 inches for height

3 inches for radius

**Radius is half of a circle and diameter is full of the circle/base.***

Equation:V=1/3 x 9in x π x 3²

You should do 3 squared first so that you can input it into your calculator easily.

V=1/3 x 9in x π x 9

Now on a calculator do 1 divided by 3 which is the "1/3" in the formula.

Then multiply 9, 3.14 for pi, and 9 for radius.

Note: You should do 3.14 for pi not the whole pi symbol on the calculator.

Your answer: 84.78 in cubed

B, Mia departed her home ten minutes before Erick did.

D, Erick, and Mia all showed up simultaneously at the park.

E, In the previous ten minutes, Erick and Mia both walked the same distance.

A graph is a graphic that uses the placement of the horizontal (X-axis) and vertical (Y-axis) axes to demonstrate the mathematical relationship between different data sets (Y-axis).

A chart displays data that can be shown as a table, graph, or diagram. It includes a variety of information presentation techniques. Charts are all graphs.

According to the given information

According to the information given in the graph

We got the following true Statements

B, Mia departed her home ten minutes before Erick did.

D, Erick, and Mia all showed up simultaneously at the park.

E, In the previous ten minutes, Erick and Mia both walked the same distance.

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The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.

Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.

For example, let's say one missing value is x = 3. We can substitute this into the equation:

y = 2(3) + 4

y = 6 + 4

y = 10

So, the missing ordered pair is (3, 10).

Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:

8 = 2x + 4

4 = 2x

x = 2

So, the missing ordered pair is (2, 8).

In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

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The triangles are proved similar by; D. AA similarity.

When on comparing the sides and measures of internal angles of two or more triangles, if there is a common properties among them, then the triangles are similar. Note that being similar does not imply that they are congruent.

So that on comparing the properties of the two triangles given, it can be inferred that:

the two traingles are similar by Angle-Angle theorem which states that; when two angles of two triangles are the same, then the triangles are similar.

Therefore, the statement to prove that the triangles are similar is giben in option D. AA similarity.

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Answer: The smallest integer value of x in the solution is 1.

Step-by-step explanation:

The given inequality: \(-3x+10\leq5\)

To solve the inequality, we first subtract 10 from both sides

\(-3x+10-10\leq5-10\\\\\Rightarrow\ -3x\leq-5\)

Multiply negative sign on both sides ,we get

\(3x\geq5\)

Divide both sides by 3, we get

\(x\geq\frac{5}{3}\)

i.e. \(x\geq 1.6666666667\\\)

\(x\geq1\)

Hence, the smallest integer value of x in the solution is 1.

The given options, the only value greater than 1 is 1.003. Therefore 0.886, which is less than 1 and makes the inequality true.

The given number sentence is 5.3 × > 5.3, where we need to find the scaling factor that makes the inequality true. To do this, we can divide both sides of the inequality by 5.3. This gives us:

5.3 × x > 5.3 ÷ 5.3 × k

We need to find the value of k that makes the inequality true. Simplifying the right-hand side of the equation, we get:

5.3 ÷ 5.3 × k = k × 1 = k

Substituting this into our equation, we get:

5.3 × x > k

We know that 5.3 × 1 = 5.3, which means that k must be greater than 1 to satisfy the inequality. Among the given options, the only value greater than 1 is 1.003. However, this value would make the inequality too large, so it is not the correct answer.

The correct answer is therefore 0.886, which is less than 1 and makes the inequality true.

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Answer:

-1

Step-by-step explanation:

Solve for y into y=mx+b

2x-2y=20

-2y=-2x+20

y=(-2x+20)/-2

y=x-10

the slope is m, so it’s 1

A line perpendicular to that would be -1

The relative minimum point in the graph is (-6, 2)

To do this, we simply locate a point that at a lower level, when compared to its neighboring points

Using the above highlight, there is only one relative minimum point in the graph

And the point is located at (-6,2)

Hence, the relative minimum point in the graph is (-6, 2)

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Answer:

10. y=102,

11. x=103

12. x=145

Step-by-step explanation:

10.) 120+85+53+y=360

y+258=360

y=102,

11.) 117+100+105+115+x=540

x+437=540

x=103,

12.) 129+116+120+125+135+130+x=900

755+x=900

x=145

Answer:

10.) 102   11.) 103    12.) 145

Step-by-step explanation:

I am assuming you need help on all three questions.

10.) This shape, a trapezoid, has 4 angles. Therefore these angles are going to all add up to 360 degrees.

To solve... 360 - 120 - 85 - 53 = 102  

OR...

120 + 85 + 53 = 258 then... 360 - 258 = 102

11.)This shape, a pentagon, has 5 angles. Therefore these angles are going to all add up to 540 degrees.

To solve... 540 - 117 - 100 - 105 - 115 = 103

OR...

117 + 100 + 105 + 115 = 437 then 540 - 437 = 103

12.)This shape, a heptagon, has 7 angles. Therefore these angles are going to all add up to 900 degrees.

To solve... 900 - 116 - 120 - 129 - 130 - 135 - 125 = 145

OR...

116 + 120 + 129 + 130 + 135 + 125 =  then... 900 - 755 = 145

Answer:

The proposed equation is solved as follows:

2X + 7 = 21

2X = 21 - 7

2X = 14

X = 14 / 2

X = 7

The value of X is 7.

A first degree equation is an algebraic equation in which each term is either a constant or a product of a fixed term on a single variable. Therefore, this equation is a first degree one, since it only has a single variable, which is X.

Answer: He will need 1 1/4 cups of butter

Step-by-step explanation:

1. We can do 28/8 to find how much we need to multiply our 1/2 cup of butter to keep the ratio of people to cups of butter the same. 28/8= 3 1/2

2. Then we can multiply 3 1/2 and 1/2 to get 1 1/4 cups of butter.

Joaquin requires 5.25 cups of butter to serve 28 people.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Given that the original recipe serves 8 people and requires 1/2 of a cup of butter but he needs it to serve 28 people.

Let the quantity of butter required for the new recipe be x.

To determine how much to multiply our 1/2 cup of butter in order to keep the same proportion of persons to cups of butter,

we can use the ratio of 28/8.

So, 8:1.5::28:x

⇒ 8x = 42

⇒ x = 5.25

Hence, Joaquin requires 5.25 cups of butter to serve 28 people.

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Step-by-step explanation:

Write the following numbers in expanded form and exponential form a. 4081673 b.561827 c.892 d.3848 e. 777320916  

We need to write in expanded form and exponential form. So

1. 4081673 = 4000000 + 0 + 80000 + 1000 + 600 + 70 + 3

          = 4 x 10^6 + 0 + 8 x 10^4 + 1 x 10^3 + 6 x 10^2 + 7 x 10^1 + 3 x 10^0

2. 561872 = 500000 + 60000 + 1000 + 800 + 70 + 2

           = 5 x 10^5 + 6 x 10^4 + 1 x 10^3 + 8 x 10^2 + 7 x 10^1 + 2 x 10^0

3. 892 = 800 + 90 + 2

            = 8 x 10^2 + 9 x 10^1 + 2 x 10^0

4.    3848 = 3000 + 800 + 40 + 8

                = 3 x 10^3 + 8 x 10^2 + 4 x 10^1 + 8 x 10^0

5.    777320916 = 700000000 + 70000000 + 7000000 + 300000 +   20000 + 0 + 900 + 10 + 6

           = 7 x 10^8 + 7 x 10^7 + 7 x 10^6 + 3 x 10^5 + 2 x 10^4 + 0 + 9 x 10^2 + 1 x 10^1 + 6 x 10^0

Answer:

y = -10x -6

Step-by-step explanation:

Answer:

The answer is D. Cone

Step-by-step explanation:

The expression that is equivalent to the given value would be = 18-i . That is option C.

An equivalent expression is defined as the type of expression that is similar to a given value when simplified.

The given expression = ( 3 + 4i) ( 2 - 3i)

Expand the given expression by removing the brackets as follows:

= =2(3+4i)−3i(3+4i)

=(6+8i)−(9i−12)

= (6+12)+i(8−9)

=18−i.

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Answer:

The minimum exam score to be awarded an A is about 8.52.

Step-by-step explanation:

Let X represent the scores on a common final exam.

It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.

It is provided that according to the department policy is that the top 10% of students receive an A.

That is, P (X > x) = 0.10.

⇒ P (X < x) = 0.90

⇒ P (Z < z) = 0.90

The corresponding z-score is:

z = 1.28

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)

Thus, the minimum exam score to be awarded an A is about 8.52.

Answer:

C. 128 ft³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Rectangular Prism Formula: V = lwh

Step-by-step explanation:

Step 1: Define

Identify variables

l = 8 ft

w = 4 ft

h = 4 ft

Step 2: Find Volume

Answer:

Formula to be used :-

Calculation :-

=> V = LWH

=> V = 8 × 4 × 4

=> V = 128 ft²

Answer:

B

Step-by-step explanation:

The meaning in the situation is B; positive correlation; as time passes, the CPI increases.

The correlation coefficient is the degree of association between two quantities in terms of linear relation. The range of correlation coefficient is -1 to 1

If the correlation is -1, then that refers as the one quantity increases, the other quantity decreases , also the correlation is 0, then there is no linear relationship between two variables.

There are two types of Correlation;

Positive Correlation= With Increase in x value, y value also increases, we call it positive correlation.

Negative Correlation= With Increase in x value, if y value decreases, we call it negative correlation.

As we can see from the points plotted on the graph ,with increase in x value , y value decreases.

Hence, positive correlation; as time passes, the CPI increases.

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Answer:

  D.  y = 1.5x +5

Step-by-step explanation:

The offered answer choices are equations in slope-intercept form. The constant in the equation is the y-intercept, the value of distance when time is zero.

   y = mx +b . . . . m is slope; b is y-intercept

__

The table tells you that the distance value is 5 when the time value is 0. In the equation, that means ...

  b = 5

Only one answer choice matches:

  y = 1.5x +5

Answer:

Revenues, Expenses, and the resulting net income/loss

Some also consider gains and losses to be apart of the income statement

BTW this is a more of a business question than a mathematics question.

Answer:

The income statement consists of revenues (money received from the sale of products and services, before expenses are taken out, also known as the “top line”) and expenses, along with the resulting net income or loss over a period of time due to earning activities.

Step-by-step explanation:

Step-by-step explanation:

-34 > -10 + 4x

-24 > 4x

x < -6.

Answer:

Hope it will help u plz brain-list the answer

Step-by-step explanation:

-34 > -10 + 4x

by transitive property of in-equality we get,

-10+4x<-34

4x<-34+10           ( adding 10 to both sides

4x<-24

x<-24/4                 ( dividing 4 to both sides