4/9 kilograms of baking soda cost $1.50. How much does 1 kilogram of baking soda cost?

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(7x-5y=-6\implies -5y=-7x-6\implies y=\cfrac{-7x-6}{-5} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{7}{5}}x+\cfrac{6}{5}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line whose slope is 7/5 and it passes through (-4 , -5)

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{-5})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{7}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{ \cfrac{7}{5}}(x-\stackrel{x_1}{(-4)}) \implies y +5 = \cfrac{7}{5} ( x +4) \\\\\\ y+5=\cfrac{7}{5}x+\cfrac{28}{5}\implies y=\cfrac{7}{5}x+\cfrac{28}{5}-5\implies {\Large \begin{array}{llll} y=\cfrac{7}{5}x+\cfrac{3}{5} \end{array}}\)

Answer:

$758 per week

Step-by-step explanation:

15.16 x 50 = 758

Answer:$758 per week

Step-by-step explanation:Answer:15.16 x 50 = 758

Answer:

6x-15 3(x-5) 3/2(2x-10)

Step-by-step explanation:

simplify

-1/2(-12x+30)

6x-15

factor in different ways

3(x-5)

3/2(2x-10)

After solving an equation as per given relation of Lan, Lisa and Jim height ,now Lan's height is 174centimeters.

As given ,

Let h be Lan's height today in centimeters.

As per the relation between  Lan, Lisa and Jim height we have,

Lan=h cm

Lisa=h + 4

Jim=h -8

After 4 months, every month their heights increase by 2 cm

Lan=h + 8

Lisa=h + 4 +8

Jim=h -8 +8

Required equation for given condition:

Lan + Jim=170 +Lisa

⇒h +8 + h -8 + 8=170 + h + 4+8

⇒2h+8=h+182

⇒h=174cm

Therefore, after solving an equation as per given relation of Lan, Lisa and Jim height ,now Lan's height is 174centimeters.

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Answer:

you have to × 3.14 to 10cm

=3.14×10cm

after you will get your answer correctly

The factor of independent variable that were in the study will be 2.

It should be noted that an independent variable is the variable that the experimenter changes in order to test the dependent variable.

In this case, if a 2 x 3 factorial design with between subjects variables was carried out with 8 subjects per cell, the independent variable factor is 2.

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Answer:

Well yes

Step-by-step explanation:

Cause you just have to divide by M and you will get 9 or 8 which are the multiples of M

Answer:

True

Step-by-step:

Answer:

B. Yes, because it does not have a constant rate of change.

Step-by-step explanation:

For a function to be a function (or linear), the rate of change MUST be proportional. In this data set, the numbers do not seem proportional, which makes it non-linear.

The given data is,A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers.

Of the 60 subjects who participate in the study, 21 prefer the instant coffee. We need to find the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee, let's say p. The formula to calculate the proportion of the population is:

p = (n1 + n2) / (x1 + x2)n1 and n2 are the sample sizes of two categories and x1 and x2 are the number of favorable outcomes from the respective categories. Here, n1 = n2 = 60 and x1 = 39 (since 21 out of 60 prefer instant coffee, the remaining 39 must prefer fresh-brewed coffee).Now, p = (60 + 60) / (39 + 21) = 1.2. Since p is a probability, it must be between 0 and 1. But here, p is greater than 1, which is not possible. Therefore, there is an error in the given data and we cannot proceed with the calculation.

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Answer:(192/9.6)÷7=20/7

Step-by-step explanation:

Answer:

x+1

x+5

Step-by-step explanation:

Factors are:

Geometrically, the difference between y=f(x) and z=f(x,y) is that y=f(x) represents a two-dimensional function that can be graphed on a two-dimensional coordinate plane. The graph of the function will be a curve or a series of curves that lie on the plane.

On the other hand, z=f(x,y) represents a three-dimensional function that cannot be graphed on a two-dimensional coordinate plane. The graph of the function will be a surface that exists in three-dimensional space. For example, the equation y = x² represents a parabola that lies on the x-y plane, while the equation z = x² + y² represents a paraboloid that exists in three-dimensional space.

In mathematics, the difference between two equations can be subtle, and the same applies to geometric differences. Geometrically, the difference between y = f(x) and z = f(x, y) is that the former represents a two-dimensional function, which can be graphed on a two-dimensional coordinate plane, while the latter represents a three-dimensional function, which can be graphed on a three-dimensional coordinate system.Therefore, the graph of the two-dimensional function will be a curve or a series of curves lying on the plane. On the other hand, the graph of the three-dimensional function will be a surface that exists in three-dimensional space. Moreover, the curve has only one input, which is x, while the surface has two inputs, which are x and y. For instance, y = x² represents a parabola, which is a two-dimensional function, and lies on the x-y plane. On the other hand, z = x² + y² represents a paraboloid, which is a three-dimensional function and exists in three-dimensional space.

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Given this minitab printout, the response variable in this multiple regression equation is a numerical variable. Multiple regression is a statistical method used to examine the relationship between a dependent variable (also known as the response variable) and two or more independent variables (also known as predictors or explanatory variables).The minitab printout typically shows the coefficient estimates of the regression equation, along with various other statistics such as the R-squared value, standard error, etc. However, it doesn't indicate whether the response variable is categorical or numerical.A response variable is categorical if it can only take on a limited number of discrete values or categories. Examples of categorical variables include gender, occupation, marital status, etc. A response variable is numerical if it can take on any value within a certain range. Examples of numerical variables include age, income, height, etc.In the given minitab printout, the response variable is the variable labeled "Cust_Satisfaction." This variable is measured on a scale from 1 to 100, and therefore, it can take on any numerical value within that range. Hence, we can conclude that the response variable in this multiple regression equation is a numerical variable.

Answer:

23

Step-by-step explanation:

34-29.99=4.01

4.01/17=23

pls give me brainliest

Answer:

It would be 23

Step-by-step explanation:

Michael's actual heart rate was about 2 beats per minutes less than the rate predicted by the line of best fit. The correct option is B

A scatterplot is a data visualization that depicts the relationship between two numerical variables. Each dataset member is plotted as a point whose x-y coordinates correspond to its values for the two variables.

On each of the eighteen days, Michael swam 2,000 yards. The scatterplot above depicts his swim time and heart rate after each swim. The data's best fit line is also shown.

From the graph the actual heart rate=150

but calculated heart rate from best fit line=148

Difference between actual and calculated=150−148=2

Option B is correct.

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One half times the difference of twenty and a variable is two thirds.

Then the equation to the given situation is 1/2 (20-y) = 2/3.

Given that, one half times the difference of twenty and a variable is two thirds.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the variable be y.

Now, equation for the given situation is 1/2 (20-y) = 2/3

The equation to the given situation is 1/2 (20-y) = 2/3.

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Given:

The expression is:

\(13+23+12+7\)

To find:

The value of the given expression by using Commutative and Associative properties of numbers.

Solution:

We have,

\(13+23+12+7\)

Applying parenthesis and brackets, we get

\(=[13+(23+12)]+7\)

\(=[13+(12+23)]+7\)             [Commutative properties of numbers]

\(=[(13+12)+23]+7\)             [Associative properties of numbers]

\(=(25+23)+7\)

Using Associative properties of numbers, we get

\(=25+(23+7)\)               [Associative properties of numbers]

\(=25+30\)

\(=55\)

Therefore, the value of the given expression 55.

Answer: 2520 groups

Step-by-step explanation:

To calculate the number of groups that can be chosen with four SE students and three CPRE students, we need to consider the number of ways to select the students from each group separately.

The number of ways to choose four SE students from the nine available is given by the combination formula, denoted as "9 choose 4" or C(9, 4), and can be calculated as:

C(9, 4) = 9! / (4! * (9 - 4)!) = 9! / (4! * 5!) = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1) = 126

Similarly, the number of ways to choose three CPRE students from the six available is:

C(6, 3) = 6! / (3! * (6 - 3)!) = 6! / (3! * 3!) = (6 * 5 * 4) / (3 * 2 * 1) = 20

To determine the total number of groups, we multiply the number of choices for SE students and CPRE students:

Total number of groups = C(9, 4) * C(6, 3) = 126 * 20 = 2520

Therefore, there are 2520 different groups of seven students that can be chosen, consisting of four SE students and three CPRE students.

Answer:

well we need to know what are the ordered pairs, show me what they are and Ill tell u I promise, no guessing I actually enjoy math!

Step-by-step explanation:

The equation y = 2 corresponds to a horizontal line.

Regardless of the value of x, the value of y will be the same, i.e. it does not rise vertically, that's why the slope of horizontal lines is equal to zero.

The slopes of two perpendicular lines are reverse opposites, which means that one is the inverse negative of the other one. If for y=2, m=0, then for a line perpendicular to this one the slope will be:

A fraction with denominator zero is called undefined, which is symbolized with "∅".

So the perpendicular line will have an undefined slope. A line with an undefined slope does not run horizontally, i.e. it is a vertical line. Vertical lines always take the same value of x, regardless of the value of y, so the equation to the line perpendicular to y=2 that crosses through the point (3,2) will be equal to the x-coordinate of the said point, x=3

THe equation of the perpendicular line is x = 3

The TimberCats sold 32 tickets for the concert in the park, and the total revenue was $168.

To find the number of child tickets sold, we can set up a system of equations based on the given information.

Let's assume that the number of child tickets sold is represented by 'C', and the number of adult tickets sold is represented by 'A'. We know that the total number of tickets sold is 32, so we have the equation C + A = 32.

We also know that the price of each child ticket is $5 and the price of each adult ticket is $7. The total revenue from ticket sales is $168, so we have the equation 5C + 7A = 168.

To solve this system of equations, we can use substitution or elimination methods. In this case, let's use the substitution method. We can rearrange the first equation to solve for A: A = 32 - C.

Substituting this expression for A into the second equation, we get 5C + 7(32 - C) = 168. Simplifying the equation, we have 5C + 224 - 7C = 168. Combining like terms, we get -2C + 224 = 168. Moving the terms around, we have -2C = -56. Dividing both sides by -2, we find C = 28.

Therefore, the TimberCats sold 28 child tickets for the concert in the park.

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Solution

Question 1:

- Two triangles are similar if they have the exact same angles

- From the diagram given, the two triangles have right-angles, and vertically opposite angles (v) shown below:

- Since the sum of angles in a triangle is 180 degrees, and we know that the two triangles have 90 degrees and angle (v) in common, it implies that the third angle of both triangles must also be equal.

- Thus, the first answer is OPTION C

Question 2:

- To find the value of x, we use the property of similar triangles which states that the ratio of corresponding sides of similar triangles are equal.

- Thus, we can say:

x = 16

Final Answer

- The first answer is OPTION C

x = 16

Answer:

There could be many situations that use this ratio, but one example could be For every 4 pencils purchased 1 large eraser will be purchased.

But, as said before anything can be used as an example.

Answer:

First, let's define our coordinates.

Let's call East as the positive x-axis and North as the positive y-axis.

Now the data that we have is:

Speed  = 4 mph

Time = 3 hours.

Then the total distance traveled is:

D = 4mph*3h = 12 miles.

We also know that the angle is S 35° E.

(from east, 35° to south)

So we can write this angle as -35°.

Then if we want to know the component in South and East, we can first think this in polar coordinates

(R, θ)

where R = 12 miles, and θ = -35°

Now with this, we have that:

X = R*cos(θ) = the displacement to the east.

Y = R*sin(θ) = the displacement to the north (then -Y is the displacement to the south).

Then we have:

X = 12mi*cos(-35°) = 9.83mi

Y = 12mi*sin(-35°) = - 6.89 mi.

Then:

The displacement to the East is X = 9.83 miles

The displacement to the South is -Y = 6.89 miles.

The magnitude of southern displacement of the hiker is 6.88 miles.

The magnitude of eastern displacement of the hiker is 9.83 miles.

The given parameters;

The resultant displacement of the hiker is calculated as follows;

D = vt

D = 4 mph x 3 h

D = 12 miles

The magnitude of southern displacement of the hiker is calculated as follows;

\(D_y = D \times sin(\theta)\\\\D_y = 12 \ miles \times sin(35)\\\\D_y = 6.88 \ miles\)

The magnitude of eastern displacement of the hiker is calculated as follows;

\(D_x = D \times cos(35)\\\\D_x = 12 \ miles \times cos(35)\\\\D_x = 9.83 \ miles\)

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The specific null and alternative hypotheses for a hypothesis test will depend on the research question being investigated and the type of data being analyzed.

We have,

Equivalent expressions can be stated as the expressions which perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

For a two-tailed hypothesis test, we know that, an appropriate null hypothesis indicating that the population correlation is equal to zero would be:

H₀: ρ = 0

where ρ represents the population correlation coefficient.

This null hypothesis states that there is no significant correlation between the two variables being analyzed.

In a two-tailed hypothesis test, the alternative hypothesis would be that there is a significant correlation, either positive or negative, between the two variables:

Hₐ: ρ ≠ 0

This alternative hypothesis states that there is a significant correlation between the two variables, but does not specify the direction of the correlation.

It's important to note that the specific null and alternative hypotheses for a hypothesis test will depend on the research question being investigated and the type of data being analyzed.

Additionally, the choice of null and alternative hypotheses will affect the statistical power of the test, which is the probability of correctly rejecting the null hypothesis when it is false.

Hence, the specific null and alternative hypotheses for a hypothesis test will depend on the research question being investigated and the type of data being analyzed.

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Complete Question:

For a two-tailed hypothesis test, which of the following would be an appropriate null hypothesis indicating that the population correlation is equal to o?

A. H₀: 1 = 2, B. H₀ : M₁ = M₂ C. H₀: O = 0  

D. None of the options above are correct.

The Wonderful Wizard of Oz, according to American historian Henry Littlefield, was a metaphor for the 1890s Populist movement, which was an uprising by disaffected manufacturing and agricultural workers to gain control from the financial elite. Littlefield made this claim in 1964.

Judy Garland's character Dorothy and her dog Toto are carried away in their home to the fantastical country of Oz as a cyclone tear across Kansas.

As they travel along the Yellow Brick Road to the Emerald City to visit the Wizard, they encounter characters like the brainless Scarecrow (Ray Bolger), the heartless Tin Man (Jack Haley), and the Cowardly Lion (Bert Lahr).

The Wizard of Oz set and filming process was toxic, from bosses demanding their injured and sickly players return to set despite still needing to heal to the director smacking a 16-year-old and forcing her to take drugs to control her hunger and keep thin.

Therefore, the Wonderful Wizard of Oz, according to American historian Henry Littlefield, was a metaphor for the 1890s Populist movement, which was an uprising by disaffected manufacturing and agricultural workers to gain control from the financial elite. Littlefield made this claim in 1964.

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Answer:

  A.  13.58 square units

Step-by-step explanation:

You want the area of a parallelogram with side lengths 3 units and 6 units, and one angle 49°.

The height of the parallelogram can be found as the product of the sine of a vertex angle and either of the side lengths.

  h = (3 units)·sin(49°) = 2.264 units

Then the area is the product of that height and the other side length:

  A = bh = (6 units)(2.264 units) ≈ 13.58 units²

The area of ABCD is about 13.58 square units.

__

Additional comment

The diagonal between the vertices with the larger angle cuts the parallelogram into two congruent triangles, each with sides 3 and 6 and included angle 49°. The area of each triangle is ...

  A = 1/2ab·sin(C) = 1/2·3·6·sin(49°)

Then the area of both of them is ...

  A = 2(1/2·3·6·sin(49°)) = 3·6·sin(49°) . . . . as above

It doesn't matter which angle you use. The sine values are all the same:

  sin(x) = sin(180° -x)

Answer:

yes 1.57 is a rational number you could write it as 1 & 57/100 or 157/1000

An arithmetic sequence that has 14 terms and common difference d=3

The last term is x₁₄= 270

To calculate any nth term on an arithmetic sequence you have to do as follows

Where

xₙ is the nth term of the sequence

a is the first term

d is the common difference

(n-1) indicates that you are considering any value of the sequence except the first one

To determine the first term of the sequence you have to write the equation in terms of a

Replace the expression obtained with the information of the sequence