Jose set a goal of saving at least $200 in a savings account. He currently has $60 in theaccount. If he invests $5 of his weekly allowance per week, how many weeks will ittake him to reach his goal?;1

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:

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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.

Answer:

36.3636364%

or 36.36

Step-by-step explanation:

The value of the variable k is 20

It is important to note that algebraic expressions are described as expressions that are made up of variables, terms, coefficients, factors and constants.

These algebraic expressions are also composed of mathematical operations, such as;

From the information given, we have the expression as;

Kx=30

Make 'k' the subject of formula

k = 30/x

Substitute the value, we have;

k = 30/1.5

k = 20

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Answer:

$886.47

Step-by-step explanation:

If the data were transformed and points with the coordinates

(x, log(y)) were plotted then the points (1, 1.079), (2, 1.919), (3, 2.763) were plotted.

To plot the points with the coordinates (x, log(y)), we need to take the logarithm of the y-values.

Let's calculate the logarithms for the given data:

x     y            log(y)

1     12          log(12) = 1.079

2     83        log(83) = 1.919

3     580      log(580) = 2.763

Therefore, the points that would be plotted are (1, 1.079), (2, 1.919), (3, 2.763)

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Answer:

60

Step-by-step explanation:

The sum of the angles of a triangle is 180

x+x+x = 180

3x= 180

Divide by 3

3x/3=180/3

x = 60

Answer:

60

Step-by-step explanation:

sum of measure of interior angles of a triangle is 180

x+x+x=180

3x=180

x=180/3

x=60

Answer: 0.4

Step-by-step explanation:

Given: Cumulative exponential distribution:

\(P(x<k)=1-e^{\frac{-x}{k}}\)

As per given,

\(P(x<2)=1-e^{\frac{-2}{k}}=0.381\\\\\Rightarrow\ e^{\frac{-2}{k}}=1-0.381\\\\\Rightarrow\ e^{\frac{-2}{k}}=0.619\\\\\Rightarrow\ {\frac{-2}{k}}=\ln(0.619) \ \ \ [\text{Taking natural log on both sides }]\\\\\Rightarrow\ {\frac{-2}{k}}=-0.47965\\\\\Rightarrow\ k=\dfrac{2}{0.47965}\\\\\Rightarrow\ k=4.17\)

\(P(0.5 < X < 3) \\\\=P(X<3)-P(X<0.5) \\\\=(1-e^{-\frac{3}{4.17}})-(1-e^{-\frac{0.5}{4.17}}) \\\\=e^{-\frac{0.5}{4.17}}-e^{-\frac{3}{4.17}}\\\\= 0.4\)

Hence, the required probability = 0.4

Let's say the packages are labeled A and B

A has 9 cookies per package

B has 27 cookies per package

We can have the following combos if we want 54 total cookies

Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

Answer:

Answers

1.  4     3/4 is closer to 1, so 3 + 1 = 4

2.  1     11 is more than half of 20, so 11/20 is closer to 1.

3.  2     1/2 or more, we round up, so we round up to 1.  1 + 1 = 2

4.  4       2/5 is less than 1/2, so round down—0 + 4 = 4

5.  7     7/10 is close to 1, so 6 + 1 = 7

your welcome plus can you mark mr brainlest pls

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first statement is true.  We use 4 as the base and 3.33 as the exponent, obtaining 101.

The second statement is true.  Using 2 as the base and 6.15 as the exponent, we get 71.01, or approximately 71.

Third statement:  3^4.14 = 94.47, which is NOT equal to 24.  False

Fourth statement:  Raise the base (5) to the power 2.60, obtaining 65.66, or approximately 66. True

Fifth statement:  Raise the base (6) to the power 0.17, obtaining 1.36.  This does not match the '11' given.  False

Answer:

your answer is 14

plz mark as brainliest

Step-by-step explanation:

Answer:

Your correct answer is 14

Step-by-step explanation:

Answer:

p = 4

Step-by-step explanation:

Given the expression x ^ 2-px + 3 = 0

If x = 0 is a solution

Substitute into the expression

0² - 0p + 3  = 0

-0p = -3

p = 3/0

p cannot be determined for this root

If x = 1

1² - 1p + 3 =0

1 - p + 3 = 0

-p+4 = 0

-p = -4

p = 4

Hence the va;ue of p is 4

Answer:

(c)hope

Step-by-step explanation:

2x + 44 = 72

14

hence

2x = 2*14

28

Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

Answer:

The letter "x" is often used in algebra to mean an unknown value. It is often called a "variable".

Example:

In x + 5 = 12, x is a variable, but we can work out its value if we try!

The area of the canvas is 12 square inches and the minimum selling price is (a) $1.30

Here, we have

A rectangular frame that is 3 inches by 4 inches:

This means that

So, we have

Area = Base * Height

So, we have:

Area = 3 * 4

Evaluate

Area = 12

Hence, the area, in square inches, of the canvas is 12 sq inches

Start by calculating the Revenue using

Profit = Revenue - Cost

Where

Profit = 420

Cost = 400 * 0.25 = 100

So, we have

Revenue - 100 = 420

Revenue = 520

For the minimum selling price, we have

Minimum = Revenue/Number of brownies

So, we have

Minimum = 520/400

Evaluate

Minimum = 1.30

Hence, the minimum selling price is $1.30

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A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

705.81 and 705.810

Step-by-step explanation:

700 + 5 + 0.8 + 0.01 = 705.81

Answers:

705.810

705.81

Answer:

36% on first

Step-by-step explanation:

Answer:

2.16% probability that he would have done at least this well if he had no ESP

Step-by-step explanation:

For each coin toss, there are only two possible outcomes. Either he predicts the correct outcome, or he does not. The tosses are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Fair coin:

Equally as likely to be heads or tails, so \(p = 0.5\)

Coin is flipped 25 times

So \(n = 25\)

What is the probability that he would have done at least this well if he had no ESP?

\(P(X \geq 18) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 18) = C_{25,18}.(0.5)^{18}.(0.5)^{7} = 0.0143\)

\(P(X = 19) = C_{25,19}.(0.5)^{19}.(0.5)^{6} = 0.0053\)

\(P(X = 20) = C_{25,20}.(0.5)^{20}.(0.5)^{5} = 0.0016\)

\(P(X = 21) = C_{25,21}.(0.5)^{21}.(0.5)^{4} = 0.0004\)

\(P(X = 22) = C_{25,22}.(0.5)^{22}.(0.5)^{3} = 0.0001\)

The others(23, 24 and 25) are close to 0.

\(P(X \geq 18) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25) = 0.0143 + 0.0053 + 0.0016 + 0.0004 = 0.0216\)

2.16% probability that he would have done at least this well if he had no ESP

Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

Meaning of probability :

Probability is calculation of how likely some event will happen. Whenever we are not sure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are going to happen.

The analysis of events governed by probability is called statistics.

According to the given information :

Red section = \(\frac{2}{5}\)

multiply numerator and denominator by \(2\) we get

Red section = \(\frac{4}{10}\)

 Blue section = \(\frac{1}{2}\)

 multiply numerator and denominator by \(5\) we get

 Blue section = \(\frac{5}{10}\)

 Green section = \(1\)- Red section - Blue section

 Green section =\(1-\frac{4}{10} -\frac{5}{10}\)

  Green section = \(\frac{1}{10}\)

Therefore Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

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The tangents of the acute angles in the right triangle gives:

tan(G) = 2

tan(H) = 1/2

It should be noted that tangent is the ratio of opposite over adjacent. Thus:

tan(angle) = opposite/adjacent

So for reference angle G, we say,

tan(G) = JH/GJ = 2/1 = 2

We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)

So we have this interesting property where

tan(G)*tan(H) = 2*(1/2) = 1

In general,

tan(A)*tan(B) = 1 if and only if A + B = 90 degrees

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Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A) Undefined

Step-by-step explanation:

A vertical slope doesn't have a slope

The perimeter of the given triangle with given lengths is; 78

The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.

Now, we are given the triangle as QRS.

We are given that;

A is the midpoint of QR

B is the midpoint of RS

C is the midpoint of SQ

Thus;

QA = RA = 10

BR = SB = 15

SQ = 28

Thus;

Perimeter of Triangle = 2(10) + 2(15) + 28 = 78

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

Step-by-step explanation:

Add up the 3 equations and solve for s:

\( \large \color{lightblue}Answer:\)

Hope it helps..

Answer:

90000 + 4000 + 300 + 50 + 3 = 94353