Is 3,978×-32 positive or negative

By using the concept of dilation factor, length of BC obtained is 3 units

What is dilation factor?

Dilation is a transformation which changes the size of a figure by a certain factor.

That factor is called the scale factor

In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3

A'B'C'D' is the dilated figure

Length of B'C' = 9 units

Length of BC = \(9 \div 3\) = 3 units

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Complete Question

The figure has been attached here

The number of downloads that can be bought is 12

I have $11.88

The  number of downloads that can be bought with $0.99 can be calculated by dividing the initial amount which is 11.88 by the amount you want to spend which is 0.99

= 11.88/0/99

= 12

Hence 12 downloads can be bought with $0.99

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Yes, there is statistical evidence that the drug is effective in reducing infarct size because p-value is less than the significance value.

Let us first define the hypotheses;

Null Hypothesis; H₀: µ = 25

Alternative Hypothesis; H₁: µ < 25

Standard Deviation; σ = 10

Sample mean; x' = 16

Sample size; n = 8

z-score is;

z = (16 - 25)/(10/√8)

z = -2.55

From online z-score table, the p-value is 0.005

Since p-value is less than the significance value, then we reject the null hypothesis and conclude that the drug is effective in reducing infarct size.

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Answer:

-2.40947

Step-by-step explanation:

Answer:

\(x^{2}\)+14x-32 \(units^{2}\)

Step-by-step explanation:

a basketball court is a rectangle, therefore its area is length x width.

the length given is (x+16)

the width given is (x-2)

substitute into the rectangular area equation:

length x width = (x+16)(x-2)= \(x^{2}\)+14x-32

specific units (e.g. centimetres, meters, feet, etc) were not given so use the term 'units', and because we are dealing with area, use \(units^{2}\).

therefore the answer is, \(x^{2}\)+14x-32 \(units^{2}\).

i hope that helps :)

Answer:

therefore the answer is, \(x^{2} +14x-32units^{2}\).

Step-by-step explanation:

The correct option is A, we have a translation of 7 units to the right.-

To find it, we need to analyze two correspondent vertices.

We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)

Taking the difference between that, we will get:

A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)

The first value gives the horizontal translation and the second the vertical one

So,we have a translation of 7 units to the right, the correct option is A.

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Answer:

F will be +5

Step-by-step explanation:

Answer:

E) 5.4m

Step-by-step explanation:

ratio of triangle FGH : triangle JKL => 2.1 : 1.4

perimeter of triangle FGH = x

2.1 : 1.4 = x : 3.6

=> 1.4x = 2.1 × 3.6

=> x = 2.1 × 3.6 ÷ 1.4 = 5.4

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Answer: (1/6)^2

Step-by-step explanation:

Answer:

The third answer is correct

Step-by-step explanation:

Use the properties of degrees:

1)

\( {( \frac{1}{108} })^{3} = \frac{ {1}^{3} }{ {108}^{3} } = \frac{1}{6561} \)

\( \frac{1}{6561} ≠ \frac{1}{36} \)

.

2)

\( ({ \frac{1}{9} })^{3} = \frac{ {1}^{3} }{ {9}^{3} } = \frac{1}{729} \)

\( \frac{1}{729} ≠ \frac{1}{36} \)

.

3)

\( ({ \frac{1}{6} })^{2} = \frac{ {1}^{2} }{ {6}^{2} } = \frac{1}{36} \)

\( \frac{1}{36} = \frac{1}{36} \)

To find out how many flowers will be in each centerpiece, we can divide the total number of flowers by the number of centerpieces:

Total number of flowers: 1,064

Number of centerpieces: 28

Number of flowers in each centerpiece = Total number of flowers / Number of centerpieces

Number of flowers in each centerpiece = 1,064 / 28 = 38

Therefore, there will be 38 flowers in each centerpiece.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer: 38

Step-by-step explanation:

The question is asking you to divided.

1064 divided by 28 = 38

So there will be 38 flowers in each centerpiece

Answer:

x = -7

Step-by-step explanation:

Solve for x:

4 (1 - x) + 2 x = -3 (x + 1)

4 (1 - x) = 4 - 4 x:

2 x + 4 - 4 x = -3 (x + 1)

2 x - 4 x = -2 x:

-2 x + 4 = -3 (x + 1)

Expand out terms of the right hand side:

4 - 2 x = -3 x - 3

Add 3 x to both sides:

3 x - 2 x + 4 = (3 x - 3 x) - 3

3 x - 3 x = 0:

3 x - 2 x + 4 = -3

3 x - 2 x = x:

x + 4 = -3

Subtract 4 from both sides:

x + (4 - 4) = -4 - 3

4 - 4 = 0:

x = -4 - 3

-4 - 3 = -7:

Answer:  x = -7

Answer:

X=-7

Step-by-step explanation:

The expression that represents the phrase. B.) 42 - 12

Answer:42-12

Step-by-step explanation:

Answer:-

Option A

Step by step explanation :-

Distance between Springfield to Longmeadow is 3.8 km.

Adamsville to Springfield is 7.6 km.

The time for which the account has been accumulating interest is given as follows:

10 years.

The balance of an account after t years, using continuous compounding, is modeled by the exponential function presented as follows:

A(t) = Pe^(kt).

In which:

The parameters for this problem are given as follows:

A(t) = 3471.44, P = 1905, k = 0.06.

Hence the time is obtained as follows:

1905e^(0.06t) = 3471.44

e^(0.06t) = 3471.44/1905

ln(e^(0.06t)) = ln(3471.44/1905)

0.06t = ln(3471.44/1905)

t = ln(3471.44/1905)/0.06

t = 10 years.

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Answer:

“The roof is not my son, but I will raise it.” – Anonymous

“I’m gonna go stand outside. If anyone asks, I’m outstanding.” – Taylor Bass

(your name her) was released from his/her/their 4 year sentence

By answering the presented question, we may conclude that Additional expression discount required 2 = (1 - $762.60/$734.58) x 100% = 3.81%

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity.

Let us begin by estimating the current discount offered by Lamb Goldsmith:

12.55% off $840 equals $105.42

Hence, at Lamb Goldsmith, the current pricing of the watch is:

Lamb Goldsmith's price = $840 Minus $105.42 = $734.58

Let us now compute the reduced rates supplied by the competitor's:

Price reduction 1 = $860 - 13.25% of $860 = $745.27

Price reduction 2 = $860 - 11.5% of $860 = $762.60

To compete, Lamb Goldsmith must give a concession that reduces the price of the watch to $745.27 or $762.60. Let us compute the additional concession necessary in each case:

More concession is required. 1 = (1 - $745.27/$734.58) x 100% = 1.45%

Additional discount required 2 = (1 - $762.60/$734.58) x 100% = 3.81%

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Answer:

the answer is D Because

Step-by-step explanation:

so I will say about $3.74

Answer:

66.6666

Step-by-step explanation

This is the answer because I found it up here and I got the answer right.

Kaitlin ate an apple that had a mass of about 140 grams.

Given that:

The mass of an apple is 140 units.

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

Based on the common unit of measurement for the mass of an apple, the missing unit is most likely "grams". Therefore, the complete sentence would be "Kaitlin ate an apple that had a mass of about 140 grams."

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Answer:

f(x) = -0.5x - 2;

At x = 0, f(x) = -2

At x = 1, f(x) = -2.5

At x = 2, f(x) = -3

At x = 3, f(x) = -3.5

At x = 4, f(x) = -4

g(x) = (2^(x - 1)) - 5;

At x = 0, g(x) = -4.5

At x = 1, g(x) = -4

At x = 2, g(x) = -3

At x = 3, g(x) = -1

At x = 4, g(x) = 3

Step-by-step explanation:

First equation;

f(x) = -0.5x - 2

f(0) = -0.5(0) - 2 = -2

f(1) = -0.5(1) - 2 = -2.5

f(2) = -0.5(2) - 2 = -3

f(3) = -0.5(3) - 2 = -3.5

f(4) = -0.5(4) - 2 = -4

For the second equation;

g(x) = (2^(x - 1)) - 5

g(0) = (2^(0 - 1)) - 5 = 2^(-1) - 5 = -4.5

g(1) = (2^(1 - 1)) - 5 = 2^(0) - 5 = -4

g(2) = (2^(2 - 1)) - 5 = 2 - 5 = -3

g(3) = (2^(3 - 1)) - 5 = 4 - 5 = -1

g(4) = (2^(4 - 1)) - 5 = 3

Therefore , the solution of the given problem of percentage comes out to be 15 customers per hour make up the unit cost. 15 clients per hour, to be exact.

A number or statistic that is stated as an amount of 100 is referred to as "a%" in statistics. The forms "pct," "pct," or "pc" are additionally uncommon. The common way to indicate it is with a representation "%," though. The ratio to the total sum is flat, and there are no indicators. Percentages are actually integers because they almost always add up to 100. To suggest that a number indicates a percentage, either the word "fraction" or a representation for percentage (%) must come before the number.

Here,

We must divide the overall number of customers by the number of hours in order to determine the unit rate (in customers per hour).

There are 120 total clients.

There are 8 hours in all.

Unit rate is equal to the sum of all clients times the number of hours.

=> Unit rate: 120 / 8

=>  Rate per unit: 15

Consequently, 15 customers per hour make up the unit cost. 15 clients per hour, to be exact.

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Answer:

The probability for A  is 1-0.1 is 90%

P(A)=90%

P(NOT B)=30%

P(A AND B)=0.9+0.7/2=1.6/2=80%

p(a and b) may be a little off.

Answers:

=======================================================

Work Shown:

P(A) = 1 - P(not A)

P(A) = 1 - 0.1

P(A) = 0.9

-------------------

P(not B) = 1 - P(B)

P(not B) = 1 -0.7

P(not B) = 0.3

-------------------

P(A and B) = P(A)*P(B) only when A and B are independent

P(A and B) = 0.9*0.7

P(A and B) = 0.63

Answer: c.) t = 7

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

edge 2021

Answer:

1. y = 2x - 5

2. y = (-1/3)x

3. y = -4

4. y = (-3/4)x + 7

5. x = 6

6. y = -3x - 8

Step-by-step explanation:

1.

Point 1: (0, -5) Point 2: (-1, -7)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        -7 - (-5)     -7 + 5       -2

m = ------------ = ----------- = ---------- = ------ = 2

        x₂ - x₁         -1 - 0           -1           -1

y - y₁ = m (x - x₁)

y - (-5) = 2(x - 0)

y + 5 = 2x - 0

   -5           -5

y = 2x - 5

----------------------------------------------------------------------------------------------------------

2.

Point 1: (0, 0) Point 2: (3, -1)

            (x₁, y₁)             (x₂, y₂)

        y₂ - y₁        -1 - 0            -1

m = ------------ = ----------- = ----------

        x₂ - x₁         3 - 0            3

y - y₁ = m (x - x₁)

y - (0) = (-1/3)(x - 0)

y - 0 = (-1/3)x - 0

   -0                -0

y = (-1/3)x

----------------------------------------------------------------------------------------------------------

3.

Point 1: (0, -4) Point 2: (-5, -4)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        -4 - (-4)   -4 + 4         0

m = ------------ = ----------- = ---------- = ------ = 0

        x₂ - x₁         -5 - 0          -5          -5

y = -4

----------------------------------------------------------------------------------------------------------

4.

Point 1: (0, 7) Point 2: (4, 4)

            (x₁, y₁)             (x₂, y₂)

        y₂ - y₁        4 - 7            -3

m = ------------ = ----------- = ----------

        x₂ - x₁         4 - 0            4

y - y₁ = m (x - x₁)

y - 7 = (-3/4)(x - 0)

y - 7 = (-3/4)x - 0

   +7               +7

y = (-3/4)x + 7

----------------------------------------------------------------------------------------------------------

5.

Point 1: (6, 0) Point 2: (6, 3)

            (x₁, y₁)              (x₂, y₂)

        y₂ - y₁        3 - 0             3

m = ------------ = ----------- = ---------- = undefined

        x₂ - x₁         6 - 6           0

x = 6

----------------------------------------------------------------------------------------------------------

6.

Point 1: (0, -8) Point 2: (-4, 4)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        4 - (-8)      4 + 8       12

m = ------------ = ----------- = ---------- = ------ = -3

        x₂ - x₁         -4 - 0          -4         -4

y - y₁ = m (x - x₁)

y - (-8) = -3(x - 0)

y + 8 = -3x - 0

   -8           -8

y = -3x - 8

I hope this helps!

Answer:

ca and diameter

Step-by-step explanation:

Answer:

In the image

Hope this helps!

Step-by-step explanation:

1. AC

2. the diameter

Answer:

{-10, -7, 0, 98, 145}

Step-by-step explanation:

An integer is whole numbers and their opposites, doesn't have to be written as a fraction.

Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).

The area of a circle is given by the formula A = πr², where r is the radius of the circle.

The area of a circle can be found using either of the following formulas:

\(\pi r^2\), where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.

\(A = (d/2)^2π,\) where d is the diameter of the circle. This formula can also be written as \($A = r^2\pi$\), where r is the radius of the circle and A is the area.

Both formulas are equivalent and can be used interchangeably, depending on the given information about the circle.

Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).

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