If the m<7 = 38 degrees and m<10 = 102 degrees, find each
measures.
m 1 =
degrees
m<2 =
degrees
m<3 =
degrees
m<4 =
degrees
m<5 =
degrees
m<6 =
degrees
m<8 =
degrees
m<9 =
degrees
m<11 =
degrees
m<12 =
degrees
m<13 =
degrees
m<14 =
degrees
m<15 =
degrees
m<16 =
degrees

Answer:

y =three point score =  3

x = two point score = 4

Step-by-step explanation:

this question can be solved using simultaneous equation

x + y = 7  eqn 1

2x + 3y = 17  eqn 2

Multiply eqn 1 by 2 to derive eqn 3

2x + 2y = 14 eqn 3

Subtract eqn 3 from 2 :

y = 3

Substitute for y in eqn 1

x + 3 = 7

x = 4

12.5 Step-by-step explanation: My friend helped me

The length of Kelly's old snowboard is 125 cm long.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \times b\)

For this case, let we suppose that:

x = length of Kelly's old snowboard (in cm)

Then, as we know that: new snowboard is 120% longer than her old snowboard, thus:

\(\dfrac{x}{100} \times 120 = \text{Length of new snowboard} = 150\)

or

\(\dfrac{x}{100} \times 120 = 150\\\\\text{Multiplying 100/120 on both the sides}\\\\x \times \dfrac{120}{100} \times \dfrac{100}{120}= 150 \times \dfrac{100}{120}\\\\x \times 1 = x = \dfrac{150 \times 100}{120}\\\\x = \dfrac{15000}{120} = 125 \: \rm cm\)

Thus, the length of Kelly's old snowboard is 150 cm long.

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Answer:

y-intercept = 3

Step-by-step explanation:

The given equation is :

6x-5y=-15

We can rewrite it ib slope-intercept form as follows :

Dividing both sides by 5

\(\dfrac{6x}{5}-y=\dfrac{-15}{5}\\\\\dfrac{6x}{5}-y=-3\\\\\dfrac{6x}{5}+3=y\) .....(1)

The general equation of slope-intercept form is:

y = mx +c  ....(2)

On comparing equation (1) and (2) we get :

m = 6/5

c = 3

Hence, the y intercept of the graph of the equation is 3.

The area of the triangle QRS is: 140 sq.units

The area of the triangle by box method is:

Area of triangle = Area of box rectangle - Area of 3 triangles

Thus:

Area of box rectangle = 15 * 20 = 300 sq.units

Area of small triangle 1 = ¹/₂ * 4 * 20

= 40 sq.units

Area of small triangle 2 = ¹/₂ * 11 * 15

= 82.5 sq.units

Area of small triangle 3 =  ¹/₂ * 5 * 15

= 37.5 sq.units

Thus:

Area of shaded triangle = 300 - (40 + 82.5 + 37.5)

= 140 sq.units

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Answer:

119º and 61º

Step-by-step explanation:

2x-15 and 3x+5 are supplementary because the angles corresponding to 2x-15 is supplementary with 3x+5

2x-15+3x+5=180

5x-10=180

5x=190

x=38

fill in x

2(38)-15

=76-15

=61

angle is 61

fill in x for angle 2

3(38)+5

=114+5

=119

angle 2 is 119

If the average annual stock return is 11. 3%, the average holds a portfolio of $8600 worth 30 years.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, the average annual stock return is 11. 3% and you begin your investment portfolio with $2,000,

Suppose the amount he earns in one year is x,

x=  11. 3%. of $2,000

x=220

The portfolio be worth 30 years if the average holds are,

=220 × 30

=$ 6600

The net cost is the sum of the return and the initial investment,

=$ 6600 + $ 2000

=$8600

Thus, if the average annual stock return is 11. 3%, the average holds a portfolio of $8600 worth 30 years.

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Answer:

d:192

Step-by-step explanation:

24 cm  is the height of cone .

What is known as a cone?

A cone is a three-dimensional geometric object with a smooth transition from a flat, generally circular base to the apex, also known as the vertex.

                                      A cone is a three-dimensional geometric structure with a smooth transition from a flat base—often but not always circular—to the point at the top, also known as the apex or vertex. Cone. a right circular cone having the following measurements: height, slant height, angle, base radius, and height.

V=1/3hπr²

V = 1/3 * h * 12π

96π = 1/3 * h * 12π

96π * 3/12π  = h

 8 * 3   = h

  h = 24 cm

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Answer:

᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄

hope it helps...

have a great day!!

(i) Not positive definite (ii) Symmetric (iii) Not linear

The given function doesn't define an inner product on \(\(\mathbb{R}^2\).\)

Given, \(\(u=\begin{pmatrix} u_1 \\ u_2 \end{pmatrix}\) and \(v=\begin{pmatrix} v_1 \\ v_2 \end{pmatrix}\)\)

To determine if the given function defines an inner product on \(\(\mathbb{R}^2\)\), we need to check whether the following properties hold:

Positive definite

\(\((\mathbf{u}, \mathbf{u}) \ge 0, \text{and} (\mathbf{u}, \mathbf{u})=0 \text{ if and only if } \mathbf{u}=\mathbf{0}\)\)

Symmetric

\(\((\mathbf{u}, \mathbf{v}) = (\mathbf{v}, \mathbf{u})\)\\Linear\((a\mathbf{u} + b\mathbf{v}, \mathbf{w}) \\= a(\mathbf{u}, \mathbf{w}) + b(\mathbf{v}, \mathbf{w})\), for all \(\mathbf{u}, \mathbf{v}, \mathbf{w} \in \mathbb{R}^2\)\) and all scalars\(\(a, b\)\)

First, let's find the value of \(\((u, v)\):\)

\(\((\mathbf{u}, \mathbf{v}) = u_1v_1 - u_2v_2\)\)

Now, we need to verify whether the above properties hold or not.

(i) Positive definite

Let's assume that \(\(\mathbf{u}=\begin{pmatrix} u_1 \\ u_2 \end{pmatrix} \in \mathbb{R}^2\).\)

Then, we have\\(((\mathbf{u}, \mathbf{u}) = u_1^2 - u_2^2\)\)

It's possible that \(\((\mathbf{u}, \mathbf{u}) < 0\)\) for some \(\(\mathbf{u} \in \mathbb{R}^2\)\), which contradicts the first property of an inner product.

Thus, this function doesn't define an inner product on \(\(\mathbb{R}^2\).\)

(ii) Symmetric

Since\(\((\mathbf{u}, \mathbf{v})\)\) involves the product of two scalars, the order of \(\(\mathbf{u}\) and \(\mathbf{v}\)\) doesn't affect its value.

Hence, this function is symmetric.

(iii) Linear

Let \(\(a, b\)\) be any scalars, and \(\(\mathbf{u}, \mathbf{v}, \mathbf{w} \\) in \(\mathbb{R}^2\).\)

Then,\(\((a\mathbf{u}+b\mathbf{v}, \mathbf{w})\) = (\(au_1+bv_1)w_1 - (au_2+bv_2)w_2\)\(= (au_1w_1 - au_2w_2) + (bv_1w_1 - bv_2w_2)\)\(= a(u_1w_1 - u_2w_2) + b(v_1w_1 - v_2w_2)\)\(= a(\mathbf{u}, \mathbf{w}) + b(\mathbf{v}, \mathbf{w})\)\)

Therefore, the given function doesn't define an inner product on \(\(\mathbb{R}^2\).\)

Hence, the correct options are:

(i) Not positive definite(ii) Symmetric(iii) Not linear

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Answer: 5n^2−2n+r+7

Step-by-step explanation:

i think i is 56 do you have answer choices?

Answer:

Step-by-step explanation:

The equation h(t) = -16t² + 24t is an illustration of a quadratic model

The equation that represents the path of the kick ball is given as

h(t) = -16t² + 24t

The fielder catches the ball at a height of 3 ft above the ground.

This means that:

h(t) = 3

So, we have:

-16t² + 24t = 3

Hence, the equation when the fielder catches the ball is -16t² + 24t = 3

In (a), we have:

-16t² + 24t = 3

Rewrite as:

-16t² + 24t - 3 = 0

Next, we determine the solutions of -16t² + 24t - 3 = 0 using a graphing technology

From the graph (see attachment), we have the following solutions

t = 0.14 and t = 1.36

Hence, the fielder will catch the ball after 0.14 seconds or 1.36 seconds

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1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water

Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.

From the information given, we have that;

Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water

So, we have that there is 1 liter of water in the tub

In order to displace, you need to put something in that is the same amount

Now, let's convert the units

1 liter = 1000 cubic cm

Hence, you need 1000 cubic cm to displace 1 liter

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The approximate length of a side of the field is 22ft.

Square, in geometry serves as a plane figure  that has  four equal sides and four right (90°) angles.

To calculate the  we can use the formula (LW)

But the area of square is been given as 479 ft2

Hence, 479=L^2

Then if we find the square root, we have

L=W=21.88

=22 rounded

Therefore, approximate length of a side of the field is 22ft.

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Answer:

(-2, 2)

Step-by-step explanation:

When an image is dilated by a factor of 2, we can simply multiply the x and y coordinates by 2.

Therefore, the coordinates will become (-2, 2).

The particular solution to the differential equation with the initial condition y(7) = 0 is:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| = x - 7.

To solve the given differential equation, we can use the method of separation of variables. Here's the step-by-step solution:

Step 1: Write the given differential equation in the form dy/dx = f(x, y).

  In this case, dy/dx = y² - 4.

Step 2: Separate the variables by moving terms involving y to one side and terms involving x to the other side:

  dy / (y² - 4) = dx.

Step 3: Integrate both sides of the equation:

  ∫ dy / (y² - 4) = ∫ dx.

Let's solve each integral separately:

For the left-hand side integral:

Let's express the denominator as the difference of squares: y² - 4 = (y - 2)(y + 2).

Using partial fractions, we can decompose the left-hand side integral:

1 / (y² - 4) = A / (y - 2) + B / (y + 2).

Multiply both sides by (y - 2)(y + 2):

1 = A(y + 2) + B(y - 2).

Expanding the equation:

1 = (A + B)y + 2A - 2B.

By equating the coefficients of the like terms on both sides:

A + B = 0, and

2A - 2B = 1.

Solving these equations simultaneously:

From the first equation, A = -B.

Substituting A = -B in the second equation:

2(-B) - 2B = 1,

-4B = 1,

B = -1/4.

Substituting the value of B in the first equation:

A + (-1/4) = 0,

A = 1/4.

Therefore, the decomposition of the left-hand side integral becomes:

1 / (y² - 4) = 1/4 * (1 / (y - 2)) - 1/4 * (1 / (y + 2)).

Integrating both sides:

∫ (1 / (y² - 4)) dy = ∫ (1/4 * (1 / (y - 2)) - 1/4 * (1 / (y + 2))) dy.

Integrating the right-hand side:

∫ (1/4 * (1 / (y - 2)) - 1/4 * (1 / (y + 2))) dy

= (1/4) * ln|y - 2| - (1/4) * ln|y + 2| + C₁,

where C₁ is the constant of integration.

For the right-hand side integral:

∫ dx = x + C₂,

where C₂ is the constant of integration.

Combining the results:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| + C₁ = x + C₂.

Simplifying the equation:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| = x + (C₂ - C₁).

Combining the constants of integration:

C = C₂ - C₁, where C is a new constant.

Finally, we have the solution to the differential equation that satisfies the initial condition:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| = x + C.

To find the value of the constant C, we use the initial condition y(7) = 0:

(1/4) * ln|0 - 2| - (1/4) * ln|0 + 2| = 7 + C.

Simplifying the equation:

(1/4) * ln|-2| - (1/4) * ln|2| = 7 + C,

(1/4) * ln(2) - (1/4) * ln(2) = 7 + C,

0 = 7 + C,

C = -7.

Therefore, the differential equation with the initial condition y(7) = 0 has the following specific solution:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| = x - 7.

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Answer:the slope is 2

Step-by-step explanation:

rise over run 2/1

Answer:

2

Step-by-step explanation:

The line rises by 2 and runs by 1.

Answer:

The answer is B.

Step-by-step explanation:

A placebo is a fake medicine

You can learn more about a placebo by reading a book called Mesmerized. It basically talks about the origin of the placebo effect and all that.

Solution

Given x-intercept as 6 => a = 6

and y-intercept as -2 => b = -2

the equation is;

The answer is:

Answer:

B. The second choice.

Step-by-step explanation:

A function cannot have two points with the same x-coordinate.

If you graph two different points that have the same x-coordinate, they will both lie on the same vertical line. Therefore, if in a relation, more than one point lie on the same vertical line, then the relation is not a function.

Answer:

Step-by-step explanation:

Simplify: (x + 3)*(+ 2)

(x + 3)*(+ 2) =

2x + 6

Answer:

220 km  

Step-by-step explanation:

Since the direction north is perpendicular to the direction east, the driver has covered the two legs of a right triangle.  The hypotenuse is his displacement for the combination of the two segments.

    D = √(215² + 45²)

        =  √(46,225 + 2,025)

        =  √48,250  =  219.6588... km

Nearest whole number:   220 km  

Answer:

220

Step-by-step explanation:

edge

Answer:

work is shown and pictured

Total distance represented by the simplified expression for which the car was tested equals option c. x² + 2x - 4 .

Total distance drive on flat road = x miles

Total distance drive on downhill =  (x²+ 3) miles

Total distance drive on uphill =  ( x - 7 ) miles

Simplified expression which is equivalent to total distance drive by a car

= Distance drive on ( flat road + downhill + uphill )

= ( x +  x²+ 3 + x - 7 ) miles

= ( x² + 2x - 4 ) miles

Therefore, the simplified expression equivalent to the total distance drive by a tested car is equal to option c.  ( x² + 2x - 4 ) miles.

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The above question is incomplete , the complete question is:

A car company tested a sports car on a road with different inclines. The test driver tested the car by driving a distance of x miles on a flat road,    (x²+ 3) miles downhill, and (x - 7) miles uphill. Which simplified expression is equivalent to the total distance, in miles, for which the car was tested?

a.3x² _ 4

b. 3x² + 10

c. x² + 2x - 4

d. x² + 2x + 10

Answer: Have you ever been really scared of something that doesn't usually happen? What were you scared of, and why?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Have you ever been afraid of something that would probably never happen?

Mathematically-probability is a part of math.

EX.

Maybe afraid of getting thousands of spider bites at school.   It's improbable(not likely to happen, the probability is very low), because there probably aren't thousands of spiders at your school.

Or

Maybe you live in alaska and your afraid of getting a snake near you.  But snakes would probably not live in alaska so it's unlikely you'll encounter one.

Answer:

180 degrees

Step-by-step explanation:

Hope this helps! Pls give brainliest!