2/6 - Write an equation to represent the word phrase: Twice the sum of a number and 11 is 34 Use the variable h to represent the unknown amount. Equation: Show your steps below as to how you solved the equation.​

The probability of rolling a number greater than 5 or doubles will be 0.78.

       P(A)  =  n(A)/n(S)

        where -

       n(A) = Number of outcomes favorable to event A.

        n(S) = Total number of outcomes.

We have two dices are rolled.

The sample space for sum greater than 5 will be 26. For doubles, we will add 2 pairs (1, 1) and (2, 2) to 26 to get a total sample space of 28. Remaining doubles are already in 26. So, the probability of rolling a number greater than 5 or doubles will be -

P(A) = 28/36 = 0.78

Therefore, the probability of rolling a number greater than 5 or doubles will be 0.78.

To solve more questions on Probability, visit the link below -

brainly.com/question/24028840

#SPJ1

[Question in english -

From a point on the ground located 4m from a pole, its upper part can be seen with an elevation angle of 37°. What is the height of the pole?]

Answer:

D 13 shirt

Step-by-step explanation:

9 [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{3}{4}[/tex]

[tex]\frac{39}{4}[/tex] x [tex]\frac{4}{3}[/tex] = 13

-x2+3x-3=0 is the equation that  has the sum of its roots as 3.

A quadratic equation's roots are equal to the second term's coefficient negated, divided by the leading coefficient. The constant term (the third term), divided by the leading coefficient, is equivalent to the product of the roots of a quadratic equation.

Sum of roots= -b/a

Sum of root is defined as:

Sum of root = -b/a

Consider option B -x^2+3x-3

a=-1 , b=3

Sum of root= - 3/(-1)=3

So B is the correct option of the following question.

To learn more about sum of roots visit the link:

https://brainly.com/question/24730520

#SPJ4

Corresponding angles are two angles that are formed by two coplanar lines and a transversal and they occupy the same relative positions.

There are numerous pairs of angles that are created when a transversal cuts any two parallel lines. These angles include consecutive interior angles, alternate interior and exterior angles, and comparable angles.

Each set of comparable angles are equal when a transversal cuts two parallel lines.

The angles that occupy the same relative location when a transversal cuts two or more lines are known as corresponding angles. The matching angles are equivalent when the lines are parallel.

To learn more about corresponding angles visit the link:

https://brainly.com/question/22190474

#SPJ4

We can rewrite the circle equation as:

(x - 1)^2 + y^2 = 9

Then the two true statements are:

"The center of the circle lies on the x-axis"

" The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9."

Remember that a general circle equation with a center (a, b) and radius R is:

(x - a)^2 + (y - b)^2 = R^2

Here the equation is:

x^2 + y^2- 2 x - 8 = 0

We can rewrite this as:

(x^2 - 2x) + y^2 = 8

Adding and subtracting 1 in the left side we can complete squares:

(x^2 - 2x + 1) - 1 + y^2 = 8

(x - 1)^2 + y^2 = 9

Tha is our equation, so the center is (1, 0) and the radius is 3 units.

Then the true statements are:

"The center of the circle lies on the x-axis"

" The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9."

Learn more about circle equations:

https://brainly.com/question/1559324

#SPJ1

A student is expected to learn approximately 46.535 words in the ninth hour of study.

Generally, To find the number of words a student is expected to learn in the ninth hour of study, we can substitute 9 for t in the learning curve equation:

y = 50 - 50e^-0.3(9)

Simplifying the exponent, we have:

y = 50 - 50e^-2.7

To calculate the value of e^-2.7, we can use a calculator or lookup the value in a table of common exponent values. The value of e^-2.7 is approximately 0.0693.

Substituting this value back into the equation, we have:

y = 50 - 50(0.0693)

Simplifying, we find:

y = 50 - 3.465

y = 46.535

Read more about words

https://brainly.com/question/28611

#SPJ1

Answer:

e is 9x D is 4x c is 1× and a is 5× and b is 2×

Answer: D

Step-by-step explanation:

-2 is not a repeating decimal.

It is not a fraction

And it is a rational number

If the integer begins through being rational, multiplying by 0.5 would not change whether or not something is rational. It will continue with rational numbers.

In mathematics, a rational number is a number that can be written as the quotient or fraction p/q of two numbers, an integrand p and a non-zero denominator q.

For instance, −3/7 is a rational number, and so is every integer.

So, in that case, any even number would be 12 * 0.5 = 6.

The solution is reasonable because 12 began as rational (6).

Any odd number also is rational:

23 * 0.5 = 11.5

23 and 11.5: Both rational

1.818181818 is reasonable hence when multiplied by 0.5 the result will be rational 3.636363636.

Therefore, if we begin with an irrational number like π:

π*0.5: Not rational

Therefore, if the integer begins through being rational, multiplying by 0.5 would not change whether or not something is rational. It will continue rational.

Know more about a rational number here:

https://brainly.com/question/28622954

#SPJ4

Correct question:
Which number produces a rational number when multiplied by 0.5?

Answer:

x^2 -10x + 41 = 0

Step-by-step explanation:

They gave you a root. A root is a solution, is a zero, is an x-intercept(if real).

This is a working backwards problem. They gave you an answer and want the equation back again.

x = 5 + 4i

working backwards:

x - (5 + 4i) = 0

x - 5 - 4i = 0

This left side is a factor of your equation.

If 5+4i is a root then 5-4i is also a root. So do the same thing:

x = 5 - 4i

x - (5 - 4i) = 0

x - 5 + 4i = 0

x - 5 + 4i and

x - 5 - 4i are the factors. Multiply them together to find the quadratic equation. Use distributive property or difference of squares or an area model to model. See image.

Answer:

x² - 10x + 41 = 0

Step-by-step explanation:

complex roots occur as a conjugate pair.

given x = 5 + 4i , then x = 5 - 4i is also a root

the corresponding factors are

(x - (5 + 4i) ) , (x - (5 - 4i) ) , that is

(x - 5 - 4i) and (x -5 + 4i)

the quadratic equation is then the product of the factors, that is

(x - 5 - 4i)(x - 5 + 4i) = 0

multiply each term in the second factor by each term in the first factor.

x² - 5x + 4ix - 5x + 25 - 20i - 4ix + 20i - 16i² = 0 ← collect like terms

x² - 10x + 25 - 16i² = 0 [ note i² = - 1 ]

x² - 10x + 25 + 16 = 0

x² - 10x + 41 = 0 ← in standard form

Answer:

  (b)  $9.45

Step-by-step explanation:

You want to know how much Marissa's mom spent at the coffee shop for ...

after her rewards program discount of $0.50 was applied.

Adding up the bill, we find it to be ...

  $3.95 + 2×1.50 +3.00 -0.50 = $9.45

Marissa's mom spent (b) $9.45 at the coffee shop.

<95141404393>

The computed t-value of -1.708 for a two-tailed hypothesis test of the difference of two means with sample size of 26 would yield a p-value of 0.10.

This statement is a false statement.

To make inferences about a population parameter or population probability distribution, a statistical process known as hypothesis testing analyzes data from a sample. First, a hazy assumption about the parameter or distribution is made.

The null hypothesis is that 50% is true, while the alternative hypothesis is that 50% is not accurate, for instance, if someone wants to test whether a penny has an exact 50% chance of landing on heads.

To know more about hypothesis test visit:

https://brainly.com/question/17099835

#SPJ4

Answer:

An apple costs 0.30 pounds and a banana costs 0.40 pounds.

Step-by-step explanation:

Let's think of apples as x and bananas as y.

Using the given information, you can write two equations.

[tex]x+6y=2.70[/tex]

[tex]x+8y=3.50[/tex]

x can also be written as

[tex]x=2.70-6y[/tex]

We can plug this equation into the second one to solve for y, or the cost of a banana.

[tex](2.70-6y)+8y=3.50[/tex]

[tex]2y=0.8[/tex]

[tex]y=0.4[/tex]

Now that we know the cost of a banana, we can go back to the first equation and solve for x, or the cost of an apple.

[tex]x+6(0.4)=2.70[/tex]

[tex]x=0.30[/tex]

Therefore, an apple costs 0.30 pounds and a banana costs 0.40 pounds.

The actual percentage of female people with ppd is more than 12%.

Many women experience postpartum depression (commonly known as PPD), which is a medical disorder. After giving delivery, there are intense emotions of sadness, anxiety (concern), and exhaustion that persist for a long time. You may find it challenging to care for both you and your infant as a result of these feelings. PPD can occur at any point following childbirth. Within 1 to 3 weeks of giving birth, it frequently begins. To get better, it need treatment.

And that's basically what TS% is. A measure of scoring efficiency based on the number of points scored over the number of possessions in which they attempted to score. The actual TS% formula multiplies the denominator by 2 to put the number into a percentage scale, but it's the same result on a different scale

to learn more about percentage of women having ppd visit:

https://brainly.com/question/28168955

#SPJ4

Answer:

[tex]\textsf{b)} \quad (x-3)^2+(y+1)^2=100[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{5 cm}\underline{Equation of a circle}\\\\$(x-h)^2+(y-k)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(h, k)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}[/tex]

Given:

Substitute the given center and radius into the formula to create the equation of a circle with the given parameters:

[tex]\implies (x-3)^2+(y-(-1))^2=10^2[/tex]

[tex]\implies (x-3)^2+(y+1)^2=100[/tex]

Answer:

The answer is (-4x² + x + 2)

Step-by-step explanation:

(2x² - 4x + 3) + (5x - 6x² - 1)

open the brackets

2x² - 4x + 3 + 5x - 6x² - 1

rearrange the priority order

2x² - 6x² - 4x + 5x + 3 - 1

combine like terms

-4x² + x + 2

Thus, The answer is (-4x² + x + 2)

Answer:

The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.

Answer:

Step-by-step explanation:

andrea lb: 164.5cm

andrea ub: 165.5 cm

joel lb: 165

joel ub: 175

OA=5 and the length of arc AB is 3π. The x value is [tex]108[/tex]°.

The circle's radius and arc length are both provided. Finding the angle that the arc occupies on the center O is necessary.

The correct formula is

s=rФ

Where

arc length is measured in radians,

r is the radius, and

Ф is the angle (in radians)

If Ф is in degrees, we apply the formula.

s= Ф[tex]*\frac{\pi }{180} *r[/tex]

In order to determine the value of theta, we must enter the specified values of s and r into the formula above.

[tex]3\pi =[/tex]Ф[tex]*\frac{\pi }{180} *5[/tex]

[tex]3\pi *\frac{180}{\pi } *\frac{1}{5}=[/tex]Ф

Ф=[tex]108[/tex]°

To learn more about the circle, refer:-

https://brainly.com/question/11833983

#SPJ4

The only triangle dimensions that give a right angle triangle are;

3) 15, 36, 39

4) 15, 20, 25

6) 16, 30, 34

We are told that If a triangle has side lengths a, b, and c such that;

a² + b² = c² , then that triangle is a right triangle.

1) Using Pythagoras theorem, we can say that;

15² + 18² ≠ 21²

Thus, this is not a right angle triangle.

2) Using Pythagoras theorem, we can say that;

16² + 20² ≠ 24²

Thus, this is not a right angle triangle.

3) Using Pythagoras theorem, we can say that;

15² + 36² = 39²

Thus, this is a right angle triangle.

4) Using Pythagoras theorem, we can say that;

15² + 20² = 25²

Thus, this is a right angle triangle.

5) Using Pythagoras theorem, we can say that;

16² + 32² ≠ 48²

Thus, this is not a right angle triangle.

6) Using Pythagoras theorem, we can say that;

16² + 30² = 34²

Thus, this a right angle triangle.

Read more about right triangle at; https://brainly.com/question/1248322

#SPJ1

The value of sin (x - y) of the triangles is -33/65

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles

Given: sin x = 3/5 and cos y = 5/13.  Both triangles are in quadrant 1

(Consider the image attached)

For triangle with angle x

adjacent = √(5²-3²)  = 4

cos x = 4/5 (adjacent/hypotenuse)

For triangle with angle y

opposite = √(13²-5²)  = 12

sin y = 12/13 (opposite/hypotenuse)

Using the trigonometric identity:

sin(x-y) = sinxcosy - sinycosx

sin(x-y) = (3/5)×(5/13) - (12/13)×(4/5)

sin(x-y) = 3/13 - 48/65

sin(x-y) = -33/65

Learn more about trigonometry on:

brainly.com/question/29354606

#SPJ1

Answer:

x ≤ -12

Step-by-step explanation:

We solve for x by dividing both sides by 1/4:

[tex]1/4x\leq -3\\x\leq -12[/tex]

Thus, the two sentences you need to have two words from your work bank are (1) "divide" both sides by 1/4 and (2) x is "less than or equal to" -12

Answer: Yes

Step-by-step explanation: To determine if this graph represents a function, we use what is called the vertical line test.

In other words, if we can draw a vertical or straight up and down line that passes through more than one point on the graph, the relation is not classified as a function.

In this case, it's impossible to draw such a line that hits more than one point on the graph so the relation is a function.

Answer:

  0 < x < 4.5

Step-by-step explanation:

You want the reasonable domain of V(x) = (8.5 -2x)(11 -2x).

The equation describes volume (V) and cut length (x), so both need to be positive. Volume will be positive when ...

  8.5 -2x > 0

  4.25 > x

The reasonable domain is 0 < x < 4.5.

The image of vertex A will be at point (2,-5).

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The perimeter will be P = sum of all three side.

Point A is located at (2, 5), thus you look at the y-coordinate since you are reflecting it across the x-axis.

Given that it is five above the x-axis, you must travel five below it, or you can simply enter the opposite of five, which is -5.

So, A' is at (2, -5).

Hence, The image of vertex A will be at point (2,-5).

Learn more about triangle, by the following link

https://brainly.com/question/17335144

#SPJ1

The equation of the line that passes through the point (-4,-4) is y=-x-8.

The general equation for every straight line is y = mx + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y -axis).

The three equation of line are slope-intercept form, standard form and point-intercept form.

4x+4y=-28

Taking 4 common and dividing both sides by 4 gives

x+y= -7

y=-x-7

This means slope that is m=-1.

Now to find c in y=mx+c we need to use points (-4,-4).

-4=(-1)(-4)+c

c=-8

So the equation of line is y=-x-8.

To learn more about equation of line visit the link:

https://brainly.com/question/29657983

#SPJ1

Answer:

8/15

Step-by-step explanation:

There is no GCF (greatest common factor) in this. These numbers are relatively prime.

The equation for a line that passes through points (2,1) and (0,7) is y-7 = -3x or y= -3x+7

To find the equation of a line passing through two points you must first find the slope of the line.

The slope can be found by using the formula: [tex]m=\frac{y2-y1}{x2-x1}[/tex]

Where m is the slope and (x1,y1) and (x2,y2) are the two points. Substituting the two points given in the problem allows us to calculate the slope as:

[tex]m=\frac{7-1}{0-2} \\m= \frac{6}{-2} \\m= -3[/tex]

Next, we have to use the point-slope formula to find the equation for the line passing through these two points.

The point-slope formula states: (y-y1)=m(x-x1)

Where m is the slope and x1, and y1 are points from which the line passes.

Substituting the value of m and x1 and y1 in the given equation,

y-7=-3(x-0)

y-7= -3x-3*0

y-7+-3x

Solving for the slope-intercept form gives:

y-7+7= -3x+7

y-0 + -3x+7

y= -3x+7

To know more about linear equations visit: brainly.com/question/21511618

#SPJ4

Answer:

$56.00

Step-by-step explanation:

Check:

1/4(56) + 3/7(56) + 18 =

14 + 24 + 18 = 56

See the picture below.  I wanted to figure out what fraction of the paycheck was the 18.

I took 1 which is the whole pay check and subtracted out the fractions that I knew were spent 1/4 and 3/7.   That left me with 9/28.  So I knew 9/28 of the paycheck was 18 dollars.  I drew out 28 squares.  9 of those squares was worth $18.  That meant that each square was worth $2.  2 x 28 = 56