Maggie walks at a constant speed.
Maggie plots points on the coordinate plane below to show amounts of time it takes her to walk
certain distances.
Distance
(km).

The value of the variable 'x' is calculated by solving equation of the line by using slope value is: x = 3

What is slope of a line?

The slope of a line explain the steepness of the line segment. It is ration of the coordinates of the y-axis and the vertical coordinates of the x-axis. Depending upon the slope value, it is classified as whether lines are parallel or perpendicular.

According to the question, the given parameters for the line segment is as written below:

Slope of a line = (-4) and the coordinate points = (-1, 7)(x,-9): (x1 = -1; y1 = 7)

Now, by using standard equation for the line segment: y = mx + c

where, 'm' is the slope; c is the y-intercept; (x, y) are coordinates

Substituting given values that is slope and y-intercept in the standard equation, we get:

y = mx + c

⇒ 7 = (-4)(-1) + c

⇒ c = 7 - 4 = 3

Therefore, the value of the y-intercept is: c = (3)

Equation of the line by substituting the value of the y-intercept as well as slope value in another equation whose coordinates are (x, -9):

-9 = (-4)x + (3) ⇒ -12 = -4x ⇒ x =3

Hence, the value of the variable 'x' is calculated by solving equation of the line by using slope value is: x = 3

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To calculate the variance follow these steps:

1. Work out the Mean

2. Then for each number: subtract the Mean and square the result .

3. Then work out the average of those squared differences.

The data are 10, 11, 12, 13, 14, 18

The first step find the mean

The mean = sum of data/number of data

The sum = 10 + 11 + 12+ 13 +14 + 18 = 78

The number =

The function is define for all values of x greater than or equal -3 and less than or equal 3

Hence the domain of the function is;

-3 ≤ x ≤ 3

Answer:

Step-by-step explanation:

Slope-intercept form:

Given line has a slope of m = 1/5.

Parallel lines have equal slopes, so the line we are looking for is:

Substitute the coordinates and slope and find b:

The line is:

Answer

Explanation: To solve this question we will just need to consider some rules as represented below

Step 1: Once we understand both rules above we can use them to simplify our equation as follows

Final answer: So the final answer is

.

The triangles can be proven similar by the SAS similarity theorem based on this: B. Show that the ratios are equivalent, and ∠V ≅ ∠Y.

In Mathematics, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Based on the side, angle, side (SAS) similarity theorem, in order to prove that theses two (2) triangles are similar, it needs to be shown that the ratio of the corresponding side lengths of these triangles are equal and that their corresponding angles are congruent as shown below:

Side UV = side XY

∠V ≅ ∠Y

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Complete Question:

Consider the two triangles.

How can the triangles be proven similar by the SAS similarity theorem?

Show that the ratios are equivalent, and ∠U ≅ ∠X.

Show that the ratios are equivalent, and ∠V ≅ ∠Y.

Show that the ratios are equivalent, and ∠W ≅ ∠X.

Show that the ratios are equivalent, and ∠U ≅ ∠Z.

Answer:

i think 21/8

Step-by-step explanation:

because 2 times 8 plus 5 divided by 8 gives you 16 + 5 divided by 8 which is 21/8

Conditional Statement: If people reduce their time in the shower then they will save money on water.

Hypothesis: "If people reduce their time in the shower"

Conclusion: "they will save money on water"

A conditional statement is defined as the two fundamental components that make up a conditional statement are Hypothesis (if) and Conclusion (then).

Conditional Statement: If people reduce their time in the shower then they will save money on water.

Hypothesis: "If people reduce their time in the shower"

Conclusion: "they will save money on water"

Inverse Statement: If people did not reduce their time in the shower, then they will not save money on water.

Converse Statement: If they will save money on water then people reduce their time in the shower.

Contrapositive Statement: If they will not save money on water then people do not reduce their time in the shower.

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The equation that can be use to find how long, x the team spent on each drill is 55 = 5x

Jayla plays on the Strikers soccer team.

The team worked on 5 new drills at yesterday's practice, spending the same amount of time on each drill.

Jayla was 15 minutes late and only practiced for 40 minutes.

The equation that can be used to represent the situation is as follows:

where

x = time the team spent on each training drill

Therefore, the equation is as follows:

15 + 40  = 5x

55 = 5x

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The perimeter of the figure is 22.4 cm, and The area of the figure is 30.2cm²

The Pythagorean theorem, or Pythagorean theorem, explains the relationship between the three sides of a right-angled triangle. The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle, according to Pythagoras' theorem.

From the diagram, the formation is a rectangle.

Use the coordinate points to find the measurements of each side.

Side length AD = Side length BC

Apply the Pythagoras connection to find length BC as;

a² + b²= c² where a=2 cm and b = 4 cm and c =BC

2² + 4² = c²

4+16 = c²

20 = c²

c= √20 = 4.4721

Length BC = Length AD = 4.5 cm

Side length AB = Side length DC

Apply the Pythagoras connection to find the length DC as;

a² + b²= c² where a=6 cm and b = 3 cm and c =DC

6² + 3² =c²

36 + 9 = c²

45 = c²

√45 = c

c= 6.7082

c = DC = 6.7 cm

Now you have the dimensions of the rectangle as;

Length = 6.7 cm and width = 4.5 cm

The perimeter will be ;

P= 2{l +w} --------- where l is length and w is width and P is the perimeter of the rectangle

P=2{6.7 + 4.5}

P=2{11.2}

P= 22.4 cm

The area will be ;

A= l*w

A= 6.7 * 4.5 = 30.15 = 30.2 cm²

The perimeter of the figure is: 22.4 cm

The area of the figure is: 30.2 cm²

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Answer:

40

Step-by-step explanation:

Given information:

Model the tank as a rectangular prism.

[tex]\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\\\\implies \textsf{Volume of tank}&=\sf 5 \; ft \times 3\; ft \times 4 \; ft\\& = \sf 15\;ft^2 \times 4\;ft\\& = \sf 60 \; ft^3\end{aligned}[/tex]

To find the maximum number of fish that can be put in the tank, divide the found volume of the tank by the given volume of water required per fish:

[tex]\begin{aligned}\textsf{Maximum number of fish}&=\textsf{Volume of tank} \div \textsf{Water per fish}\\& = \sf 60\;ft^3 \div 1.5 \; ft^3\\& = \sf 60 \div 1.5\\& = \sf 40\end{aligned}[/tex]

Therefore, the maximum number of fish that can be put in the tank is 40.

Answer:

Bananas Tomatoes

1 3

2 6

3 9

4 12

Explanation:

The ratio of bananas to tomatoes can be calculated as the division of the number of bananas in the recipe over the number of tomatoes in the recipe. So, the ratio is:

Therefore, to find the simplest form, we can divide the numerator and denominator by 2 as:

Then, we can fill the table as:

Bananas Tomatoes Ratio

1 3 1/3

2 6 2/6 = 1/3

3 9 3/9 = 1/3

4 12 4/12 = 1/3

Where every ratio is equivalent to 1/3

The value of x is 21

The other angles are 63°, 117°, 63°, 117°

Given:

The angles of a parallelogram ABCD are

∠A = 3x°

∠B = (5x+12)°

To find:

The value of x

Parallelogram ABCD,

∠A and ∠B are two adjacent sides

Properties of a parallelograms

Two opposite sides are parallelogram are equal and parallel to each other.

So, the adjacent sides are supplementary angles i.e. sum is 180°.

The opposite angles are equal.

Now,

∠A + ∠B = 180°

⇒ 3x + (5x + 12) = 180

⇒ 3x + 5x + 12 = 180

⇒ 8x + 12 = 180

⇒ 8x = 180 - 12

⇒ 8x = 168

⇒ x = 168 ÷ 8

⇒ x = 21

Thus,

The value of x = 21

The angles are

∠A = 3x = 3 * 21 = 63°

∠B = (5x + 12) = (5 * 21 + 12) = 105 + 12 = 117°

As opposite angles are equal so

∠A = ∠C = 63°

∠B = ∠D = 117°

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Explanation:

To be able to determine the number of liters Samuel carried, let's convert first the 800 cm³ to liters.

The conversion formula is 1 cm³ = 0.001 liters.

So, to convert 800 cm³ to liters, let's multiply 800 by 0.001.

Answer:

1a) This equation is written using the Distributive Property of Multiplication.

b) Both factors in this equation are negative.

c) The product will be positive.

2a) This equation is written using the Additive inverses of Multiplication.

b) The product of this equation is 0.

c) This is because the sum of (-8+8) is equal to 0.

3a) This equation is written using the Commutative Property of Multiplication.

b) The products of the commutative multiplications do not change.

c) This is because changing the order of factors does not affect the solution.

The properties of multiplication are:

For the distributive property, multiplying the sum of two numbers by another number gives the same result as distributing the first number to both other numbers and multiplying them separately and adding.

1)  -3(-12) = -12(-3)

= 36 = 36

2) -7 (-8+8) = [-7 (-8)] + [-7 (8)]

= -7(0) = [56 + - 56

0 = 0

3. (5 (-9))-6 = -5 ((-9) +6)

(-45)-6 = -5(-54)

270 = 270

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2) -7 (-8+8) = [-7 (-8)] + [-7 (8)]

3. (5 (-9))-6 = -5 ((-9) +6)

Answer:

N^2+6 is in standard form, which is in ax^2+bx+c,

in order to get it to vertex form, which y=a(x-h)^2+k, we need to find the vertex, through x=-b/2a, in this case:

x=-0/2(1)=0, so h=0, then plug 0 in for n,

0^2+6=6,

which makes k=6,

therefore, the answer is c.

as for a, the value of a is constant in all forms, whether standard, vertex or factored, making a=1

Brainliest pls

The value of P = $5000, r = 3.6%/4 = 0.9%, n = 4n and amount after 10 years is $5450.

Compound interest may be defined as the interest which can be applied by any institution on any individual in which the interest amount after a year becomes principle for the next year. The formula for compound interest is given as A = P(1 + r/n) ^ nt where A is the amount, P is the principle, r is the interest rate, n is compounding frequency and t is the time. If compounded quarterly the principle will be same as in the question that is $5000, the interest rate will be divided by 4 that is r = 0.9% and the compounding frequency will be 4 times that is 4n. Now, we need to find the amount after 10 years that is t = 10 years. The amount will be

A = P(1 + r/4n) ^ 4nt

A = 5000(1 + 0.9/100×4×12) ^4×12×10

A = 5000(1.09)

A = $5450 which will be amount after 10 years.

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We will have the following:

x f(x) = 4^x function(x,f(x)) inverse(f(x),x)

0 1 (0, 1) (1, 0)

1 4 (1, 4) (4, 0)

-1 1/4 (-1, 1/4) (1/4, -1)

2 16 (2, 16) (16, 2)

-2 1/16 (-2, 1/16) (1/16, -2)

Answer:

columns in order of 0/1/-1/2/-2

Step-by-step explanation:

g, h and s

e, a and b

d, q and r

k, f and c

m, l and n

Answer:

Step-by-step explanation:

n

We need to determine if the statements are true or false.

In order to do so, we need to pay attention to the following notations:

The same notations apply to cosine and tangent functions.

The inverse f⁻¹(x) is the function such that:

Thus, we have:

Therefore, statement g. is true.

In order to show that statements f. and h. are false, let's see what happens for x = 1/2:

Answer:

f. False

g. True

h. False

Notice that we can correct the statements f. and h. by using the correct notation:

To find the image we have to multiply every coordinate by the scale factor.

Then:

The 90% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is 7.9067<m<8.6933.

What is a confidence interval?

In the study of chocolate chips,

sample size, n=61

mean, x=8.3

standard deviation, s=2.4

90% of the confidence interval

[tex]8.3-(\frac{1.28*2.4}{\sqrt{61} } ) < m < 8.3+(\frac{1.28*2.4}{\sqrt{61} } )[/tex]

7.9067<m<8.6933

The 90% confidence interval for the number of chocolate chips per cookie for Big Chip cookies is 7.9067<m<8.6933.

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The hourly rate of pay is $14.25

To solve this, w

SOLUTION

From the given value

Since

Then using trigonometrical ratios it follows

Using hal -ngle it folows

Also

Finally?

Vetical angles are on opposite sides of the intersection of two lines, in this case, when lines c and b intersect, <7 and <9 are formed, these angles are vertical and m<7 = m<9, then:

m<7 = 105°

When x increases the value of f(x) decreases called decreasing function thus the interval on which the function is decreasing is  (-∞, -5] ∪ [-2, 2].

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given graph of a random function,

The value of f(x) decreasing when x is increasing is the interval on which we can say that function is decreasing.

If we look at the extreme left of the graph and come towards the right then the curve is going downward till x = -5.

Therefore, in interval (-∞, -5] function is decreasing.

The function is again going down in intervals [-2,2].

Therefore in inteval  (-∞, -5] ∪ [-2, 2] the function is decreasing.

Hence "When x increases the value of f(x) decreases called decreasing function thus the interval on which the function is decreasing is  (-∞, -5] ∪ [-2, 2]".

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The given question is incomplete complete question is attached below ;

The cost of 6 bags is GH¢ 210

The cost of 11 bags is GH¢ 385
GH¢245.00 can buy 7 bags

Tens bags cost GH¢350.00

one bags cost = 350/10

= 35

The cost of 6 bags can be calculated as follows

1 bag= 35

6= x

cross multiply both sides

x= 35×6

x= 210

The cost of 11 bags can be calculated as follows

1= 35

11= y

cross multiply

y= 35 × 11

= 385

The number of bags  GH¢245.00 will buy can be calculated as follows

1 = 35

x= 245

cross multiply both sides.

35x= 245

x= 245/35

x= 7

Hence GH¢245.00 can buy 7 bags, 6 bags cost GH¢210 and 11 bags cost  GH¢ 385

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We are given that an inch is approximately 1.57828x10⁻⁵ mile.

The reciprocal of this number will give us the number of inches in a mile.

Therefore, a mile is approximately 63360 inches.

Answer:

A. 4+(-4),

D. -9+9​

Step-by-step explanation:

A expression has a sum of 0 when we have two equal numbers with inverse signals.

A. 4+(-4)

We have the same number(4), and they have inverse signals. So this expression has a sum of 0.

B. 6.3 +(-3.6)

6.3 and 3.6 are different numbers, so this expression does not have a sum of 0.

C. 13+(-11)

13 and 11 are different numbers, so this expression does not have a sum of 0.

D. -9+9​

We have the same number(9), with inverse signals. So yes, this expression has a sum of 0.