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Answer:

The four thinking math standards are problem solving, communication, reasoning, and connections. The content math standards are estimation, number sense, geometry and spatial sense, measurement, statistics and probability, fractions and decimals, and patterns and relationships.

Step-by-step explanation:

(G0OGLED THE ANSWER)

The probability of odd or less than 6 is 0.75 which is 75%

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

From the question, there are 4 numbers

These include: 5,6,7,8

Pr(odd) 2/4

Pr(x<6) 1/4

Adding the fractions we have

1/2  + 1/4  = 3/4  = 0.75

Converted to percentage = 75%

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Step-by-step explanation:

f(x) = 5^x + 2x and g(x)= 3x-6

(f + g) (x)

5^x + 2x + 3x-6

5^x + 5x -6

Answer:

-9,212

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

20 STUDENTS, 2 chosen

The angle measures of the triangles before and after dilation are the same

Given that, we have a triangle that is dilated to form another triangle by a scale factor of n

The dilation transformation is a rigid transformation

This means that it changes the size of a shape after it is applied

However, the shape and the image would be similar shapes and as such would have their angles unchanged

This means that irrespective of the value of the scale factor n, the angle measures would remain the same

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Hey there!

Opposite sides are congruent:

all of them

opposite angles are congruent

rectangle and square

all sides are congruent

rhombus and square

diagonals congruent:

rectangle, rhombus, and square

diagonals are perpendicular

square and rhombus

Have a terrificly amazing day!

To determine how long it will take Mary Corens to repay her student loan, we can divide the total loan amount of $15,000 by the annual repayment amount of $1,800. The result will give us the number of years it will take her to repay the loan.

it will take Mary approximately 8 years to repay the loan.

By dividing the total loan amount of $15,000 by the annual repayment amount of $1,800, we can calculate the number of years needed to repay the loan.

Loan amount: $15,000

Annual repayment: $1,800

Number of years = Loan amount / Annual repayment

Number of years = $15,000 / $1,800

Number of years ≈ 8.33

Since we are asked to round the answer to the nearest whole number, Mary will take approximately 8 years to repay the loan.

It's important to note that this calculation assumes a constant annual repayment amount of $1,800 throughout the entire loan repayment period. In reality, factors such as interest accrual and varying repayment schedules may affect the actual time it takes to fully repay the loan. Additionally, any changes to the annual repayment amount would also impact the duration of the loan repayment.

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Answer:

Move the variables to one side and the constants to the other through subtraction/additions to BOTH SIDES. Then, divide/multiply to get x = some constant.

Step-by-step explanation:

Try Khan Academy.

Answer:

28 : 14

Step-by-step explanation:

4 : 2

4 + 2 = 6

42 ÷ 6 = 7

7 × 4 = 28

7 × 2 = 14

Answer:

94,533 males live to the age of 44 years.

Answer:

Step-by-step explanation:

94,533

if the visitor runs at a rate of 6 mph and swims at a rate of 2.5 mph., then the visitor  would run 14 .45 miles  before swimming to minimize the time it takes to reach the island .

we are given that an island is 1 mi due north of its closest point along a straight shoreline., where the visitor is staying at a cabin on the shore that is 15 mi west of that point, in some point the visitor runs at a rate of 6 mph and swims at a rate of 2.5 mph. Considering x be the distance the visitor runs. so the total time will be :

Time (T)= x/6 + √((15-x)²+1²)/2.5

Differntiating both sides respect to  x , we get

dT/dx = 1/6 -(15-x)/√(15-x)²+1)/2.5

=>1/6 = (15-x)/√(15-x)²+1)/2.5

=>6(15-x) = 2.5√(15-x)²+1)

Now considering   15 - x = y, we get  

=>6y = 2.5√(y²+1)

=>36y² = 6.25y² + 6.25

=>29.75y² = 6.25

y = √(25/119),  therefore ,x = 15 - √(25/119) = 14 .45

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Answer:

294

Step-by-step explanation:

7/3=2.33333333333

126*2.33333333333=294

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Bunny holding cash and hope this helps

The correct answer A. Extrapolating beyond the range of model-building data.

The given scenario exemplifies extrapolation, which involves making predictions or estimates beyond the range of the data used to build a regression model. In this case, the regression model is developed using the National Health Survey data on adult women's heights and weights.

However, the model does not include any data points for women who weigh 430 pounds. By using the best fit regression line, the estimate of 9.92 feet tall for a woman weighing 430 pounds is an extrapolation beyond the available data.

Extrapolation carries risks because it assumes that the relationship observed within the range of the data remains consistent outside that range.

However, this assumption may not hold true, and the relationship between height and weight may change for individuals in the extreme weight range. Consequently, relying on the estimated height for a woman weighing 430 pounds could lead to inaccurate or unreliable results.

To make more reliable predictions, it is generally recommended to restrict predictions within the range of the data used for model-building. Extrapolation should be done cautiously, considering potential variations or factors that may affect the relationship beyond the observed data range.

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Answer:

\(x(2 - x) = 0\)

\(x(3x + 13) = 2\)

\( \sqrt{x -3} - 4 = 4\)

\((x + 1)(2x - 3) > 0\)

Answer:

First one  >

Second one <

Step-by-step explanation:

The bigger side opens towards the bigger number

Don't get confused by the decimal points

Look at the first number, to determine whether you need to go to the next one or can put the sign in, you can cover up the decimal to help you  not get too confused

Negative numbers are opposite to positive, so instead of

3 being bigger than 1

1 is bigger than 3

1) At a specific value of theta, the given polar curve has a tangent line with a slope of -2.

2) At a particular value of theta, the polar curve has a tangent line with a slope of -8.

1) We are supposed to find the slope of the tangent line to the given polar curve at the point specified by the value of theta.

r = cos(2theta), theta = ????/4

We can see that the given polar curve is

r = cos(2θ)

We need to differentiate this expression to find the slope of the tangent. So we get,

dr/dθ = -2sin(2θ)

Now to find the slope of the tangent at the point specified by the value of theta, we substitute the value of theta.

θ = π/4We get,

dr/dθ = -2sin(2*π/4)

= -2sin(π/2)

= -2

The slope of the tangent line to the given polar curve at the point specified by the value of theta is -2

2) We are supposed to find the slope of the tangent line to the given polar curve at the point specified by the value of theta.

r = 8/θ, θ = ????

We can see that the given polar curve is

r = 8/θ

We need to differentiate this expression to find the slope of the tangent. So we get,

dr/dθ = -8/θ^2

Now to find the slope of the tangent at the point specified by the value of theta, we substitute the value of theta. θ = 1, We get,

dr/dθ = -8/1^2

dr/dθ= -8

The slope of the tangent line to the given polar curve at the point specified by the value of theta is -8.

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complete question:

1- Find the slope of the tangent line to the given polar curve at the point specified by the value of theta.

r = cos(2theta), theta = ????/4

2- Find the slope of the tangent line to the given polar curve at the point specified by the value of theta.

r = 8/theta, theta = ????

The area of the acute triangle can be found by the formula: area of acute triangle = (1/2) × b × h.

According to Pythagoras theorem the triangle is termed as acutely angled if the square of its longest side is less than the sum of the squares of two other smaller sides. Let a, b, and c are the length of sides of a triangle, where side "a" is the longest, then the given triangle is acutely angled if and only if a^2 < b^2 + c^2.

The area of the acute triangle can be calculated by the formula:

         area of acute triangle = (1/2) × b × h

         b = base, and

         h = height

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A mean of a normal distribution's upper bound of a 95% confidence interval is 58.11.

For the given question,

The confidence bound's upper limit (UCB) is determined as follows:

UCB =  μ + z(α/2)×σ/√n

Now, α/2 = (1 - 0.95)/2

α/2 = 0.025

z(α/2) = 1.96  (obtain from t-distribution table for degree of freedom)

Put the values in the formula,

UCB =  μ + z(α/2)×σ/√n

UCB = 36.96 + 1.96×41.8/√15

UCB = 58.11

As a result, 58.11 is the upper bound of a 95% confidence interval for the mean of a normal distribution.

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Answer:

The probability that it isn't orange is 5/6

Step-by-step explanation:

There are twelve crayons and two are orange so there is ten that aren't orange. Probability being 10/12. We can now simplify to 5/6. There you go easy as.

Many regards, Abdelmumen Nakoa.

Answer:

y = 18

Step-by-step explanation:

30² = 24²  + y²

900 = 576 + y²

y = \(\sqrt{324}\)

y = 18

Uisng circle theorems, the angles are

Circle theorems are theorems that govern the properties of a circle.

To find the given angles in the circle, we proceed as follows

1. m∠UXV

We know that m∠WXS = m∠UXV (vertically opposite angles}

Since

So, m∠UXV = 72°

2. m∠ST

We know that m∠WXS + m∠ST + m∠TXU = 180°  (angle along a diameter)

Making m∠ST subject of the formula, we have that

m∠ST = 180°  - m∠WXS - m∠TXU

Since the angles

Substituting the values of the variables into the equation, we have that

m∠ST = 180°  - m∠WXS - m∠TXU

m∠ST = 180°  - 72°  - 87°  

m∠ST = 180°  - 159°

m∠ST = 21°

So, m∠ST = 21°

3. m∠WV

We know that m∠WXS + m∠WV = 180°  (angle along a diameter)

Making m∠WV subject of the formula, we have that

m∠WV = 180°  - m∠WXS

Since m∠WXS  = 72°

Substituting the values of the variables into the equation, we have that

m∠WV = 180°  - m∠WXS

m∠WV = 180°  - 72°

m∠WV = 108°

So, m∠WV = 108°

4. m∠TW

We know that m∠WXS + m∠ST = m∠TW    

Since

Substituting the values of the variables into the equation, we have that

m∠TW = ∠WXS + m∠ST

= 72° + 21°

= 93°

So, m∠TW = 93°

5. m∠TUW

We know that m∠TXU + m∠UXV = m∠TUV  

Since m∠TXU  = 87° and m∠UXV = 72°

Substituting the values of the variables into the equation, we have that

m∠TUV = ∠TXU + m∠UXV

= 87° + 72°

= 159°

So, m∠TUW = 159°

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The value of the equations are

a) A = ( x + 4 ) ( x - 4 )

b) B = ( x - 3 ) ( x² - 3x + 9 )

c) C = ( x + 6i ) ( x - 6i )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

A = x² - 16   be equation (1)

On simplifying the equation , we get

Taking the common factor of the equation , we get

A = ( x - 4 ) ( x + 4 )

On factorizing the equation , we get

A = ( x - 4 ) ( x + 4 )

b)

B = x³ + 27   be equation (2)

On simplifying the equation , we get

Taking the common factor of the equation , we get

B = ( x - 3 ) ( x² - 3x + 9 )

On factorizing the equation , we get

B = ( x - 3 ) ( x² - 3x + 9 )

c)

C = x² + 36   be equation (3)

On simplifying the equation , we get

Taking the common factor of the equation , we get

C = ( x + 6i ) ( x - 6i )

where i² = -1

On factorizing the equation , we get

C = ( x + 6i ) ( x - 6i )

Hence , the equations are solved

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Answer: -3(a+4) or -3a-12

Step-by-step explanation:

When you simplify, you want to use your order of operations.

-6a-12+3a

-3a-12

-3(a+4)

Answer: −3a−12

Step-by-step explanation:

Distribute:

=(3)(−2a)+(3)(−4)+3a

=−6a+−12+3a

Combine Like Terms:

=−6a+−12+3a

=(−6a+3a)+(−12)

=−3a+−12

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The statements that only apply to C3, C4, and CAM photosynthesis are:

1. C3, C4, and CAM plants all have cells that have chloroplasts which attach CO2 directly to ribulose bisphosphate to produce sugars.

2. CAM plants have one set of cells that harvests CO2 and passes the carbon to another set of cells that builds sugars.

3. Stomata open at night to allow gas exchange and sugars are produced during the day.

The statement that applies to all three types of photosynthesis is: Light energy, CO2, and H20 are needed to make sugars.

C4 and CAM plants have adaptations that prevent the Calvin cycle from shutting down in periods of dryness. These adaptations include C4 plants using a carbon concentrating mechanism that separates the fixation of CO2 from the Calvin cycle and CAM plants using a process called crassulacean acid metabolism (CAM), where CO2 is taken up at night and stored as an acid until the following morning when it is converted into sugars in the Calvin cycle.

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Step-by-step explanation:

\(thank \: you\)

\(\\ \sf\longmapsto (5-4i)(7-3i)\)

\(\\ \sf\longmapsto 5(7-3i)-4i(7-3i)\)

\(\\ \sf\longmapsto 35-15i-28i+12i^2\)

\(\\ \sf\longmapsto 35-43i-12\)

\(\\ \sf\longmapsto 23-43i\)

The domain of function a(t) = \(500^t\) is  -∞ < t < ∞ and the range of the function a(t) = \(500^t\) is a(t) > 0.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

The function is a(t) = \(500^t\),

All real numbers fall under the expression's domain, except cases where it is undefined. In this instance, the phrase is defined even if there is no real number.

Thus, the function has no undefined points,

Domain = -∞ < t < ∞

Range = a(t) > 0 as the range of an exponential function is always positive.

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The ratio of students that got A to students that got B is an illustration of comparison

The number of students that got A in the test is 8y/x

The ratio of the student is given as:

A : B = y : x

8 students got B in their final test.

So, the ratio becomes

A : 8 = y : x

Express the ratio as a fraction

\(\frac A8 = \frac yx\)

Multiply both sides by 8

\(A = \frac{8y}x\)

Hence, the number of students that got A in the test is 8y/x

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Answer:

The answer is 6

Step-by-step explanation:

60-36-18=6