Sam spent 5 of an hour at the dentist's office. He spent to of the time in the waiting room. How much time did he
spend at the dentist's office other than in the waiting room?
0 1 / 2
of an hour
25 of an hour
of an hour
o of an hour

Answer:

[tex]m\widehat{MP}=118^{\circ}[/tex]

Step-by-step explanation:

In any circle, the measure of an inscribed angle (an angle created when the intersection of two chords is on the circle) is equal to half of the arc it forms. In this case, [tex]\angle MPN[/tex] is an inscribed angle that forms [tex]\widehat{MN}[/tex]. Therefore, the measure of arc MN must be twice the measure of angle MPN:

[tex]m\widehat{MN}=2\cdot m\angle MPN,\\m\widehat{MN}=2\cdot 31^{\circ}=62^{\circ}[/tex]

Since we want to find the measure of arc MP, we need to know that there are 360 degrees in a circle. Since [tex]\overline{PN}[/tex] is a diameter of the circle (line that has two endpoints on the circle and that passes through the center of the circle), each side of [tex]\overline{PN}[/tex] must be 180 degrees.

Therefore, we have:

[tex]m\widehat{MN}+m\widehat{MP}=180^{\circ},\\62^{\circ}+m\widehat{MP}=180^{\circ},\\m\widehat{MP}=\boxed{118^{\circ}}[/tex]

Answer:

Step-by-step explanation:

Hello!

(x +x+7)*2 = 50

(2x+7)*2 = 50

4x+14= 50

4x= 50-14

4x= 36

x= 36/4

x= 9

9 et 16cm

Answer:  C. Trey, Susie, Tucker, Jordan, Ashton

========================================================

Explanation:

The random sub-sequence 52197 66082 helps directly determine who we pick.

The digit 5 is first of that sequence, so we pick Trey first (as he's the 5th student). Then we pick student #2 next, who is Susie.

Up next is student #1, and that would be Tucker

Up next is student #9, but the list only goes high as 7. So we skip over 9

Jordan is next up since 7 is the next digit

Finally, the last selection is Ashton because 6 follows after.

--------------

In other words, the sequence 52197 6 will lead to these selections in the order provided.

Side note: if we wanted a 6th student, then we'd have to skip over the next 6 since we cannot pick Ashton twice. The 6th selection would be Jack since he's student #0

Answer:

Step-by-step explanation:

factor the numerical coefficients (6 and 96)

HCF 6 and 96 is 6

HCF x^10 and x^2 = x^2

HCF: 6x^2

(6* x^8*x^2 - 16*6 x^2)             Take out the highest common factor

6x^2 (x^8 - 16)

Area of first rectangle= 5×2=10units

Area of second rectangle= 3×2= 6 units

Area of third rectangle = 5×2= 10 units

Now,

Total area of figure = 10+6+10= 26units✓

Answer:

26

Step-by-step explanation:

we want to figure out the area of the composite figure notice that the composite figure contains three rectangles therefore in order to find the area of the composite figure we need find the area of the rectangles first

finding the area of the first & last rectangles:

the first and last rectangles are congruent therefore they will have the same area thus

[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = l \times w[/tex]

from the figure we obtain:

thus substitute:

[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = 5\times 2[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = 10[/tex]

finding the area of the middle rectangle:

the middle rectangle has a length and width of 3 and 2 respectively Thus

[tex] \displaystyle A _{ \rm 2)rect} =3 \times 2[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \rm 2)rect} =6[/tex]

finding the area of the composite figure:

[tex] \rm \displaystyle A _{ \rm composite} = A _{ \rm 1)rect} + A _{ \rm 2)rect} + A _{ \rm 3)rect} [/tex]

substitute what we got:

[tex] \rm \displaystyle A _{ \rm composite} = 10 + 6 + 10[/tex]

simplify addition:

[tex] \rm \displaystyle A _{ \rm composite} = \boxed{ 26}[/tex]

hence,

the answer is 26 square units

Answer:

[tex]x1 = - 4.525[/tex]

[tex]x2 = 5.525[/tex]

Step-by-step explanation:

[tex]x1 = \frac{1 - \sqrt{101} }{2} [/tex]

[tex]x2 = \frac{1 + \sqrt{101} }{2} [/tex]

Answer:

See explanation

Step-by-step explanation:

Required

The significance of "a" in exponential function

An exponential function is represented as:

[tex]y = ab^x[/tex]

In the above equation, parameter "a" is the initial value of the function

In other words, the value of the function when x = 0

Take for instance;

[tex]y = 2*4^x[/tex]

[tex]a = 2[/tex] because when [tex]x = 0[/tex]

[tex]y = 2 * 4^0[/tex]

[tex]y = 2 * 1[/tex]

[tex]y = 2[/tex]

Another significance of parameter a is that; it is the y-intercept of the geometric function.

Answer:

Al inicio Iván tenía 8.1 litros de agua hervida.

Step-by-step explanation:

Dado que Iván sabe que por su salud debe tomar agua hervida, y llenó 3 botellas de agua hervida para empezar con 7,2 L usando 3 botellas grandes y 5 botellas pequeñas, y no llenó otra botella ya que le faltaba 0,5L pero llenó una pequeña mas y le quedaron 0,3L de agua hervida para tomar, para determinar cuánta agua hervida tenia al inicio Iván se debe realizar el siguiente cálculo:

Botella grande = -0.5 litros

Botella chica = +0.3 litros

0.5 + 0.3 = 0.8

Así, la diferencia entre una botella grande y una botella chica es de 0.8 litros.

3X + 5(X - 0.8) = 7.2

3X + 5X - 4 = 7.2

8X = 7.2 + 4

X = 11.2 / 8

X = 1.4

3 x 1.4 + 5 x 0.6 = 7.2

7.2 + 0.6 + 0.3 = 8.1

Por lo tanto, al inicio Iván tenía 8.1 litros de agua hervida.

Answer:

x:-4,-3,-2,-1,0,1

f(x):-10,0,0,-4,-6,0

from the table we can see when x=0, y=-6

Therefore the y-intercept will be (0,-6)

OAmalOHopeO

The y intercept of the continuous function in the table is given by the relation f ( 0 ) = -6

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Let the values of x be x = { -4 , -3 , -2 , -1 , 0 }

Let the values of y be y = { -10 , 0 , 0 , -4 , -6 }

Now , the y intercept of the function is when the value of x = 0

So , when x = 0 , the value of y = -6

And , f ( 0 ) = -6

Therefore , the y intercept is ( 0 , -6 )

Hence , the y intercept of the function is ( 0 , -6 )

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Answer:

Combine like terms

-4b + 8c + 12 - 8b -2c

-4b - 8b + 8c - 2c + 12

-12b + 6c + 12

6(-2b + c + 2)

Answer: B

Step-by-step explanation:

Using slope formula, change in y (3) over change in x (2) is 3/2. So the equation would be y=3/2x.

Answer:

D makes sense. I think the answer is D.

Answer:

75%

Step-by-step explanation:

A percent is a value out of 100.

Change the fraction [tex]\frac{3}{4}[/tex] to an equivalent fraction with the denominator equal to 100.

[tex]\frac{3}{4}[/tex] × [tex]\frac{25}{25}[/tex] = [tex]\frac{75}{100}[/tex]

This fraction represents a percent.

[tex]\frac{75}{100}[/tex] = 75%

Answer:2.1136848

Step-by-step explanation:

Answer:

0.00211368479

Step-by-step explanation:

3c+  2=  -22

⇔3c = -22 -2

⇔3c = -24

⇔c=  -24/3

⇔c=- 8

Answer:

3c= -22-2

3c= -24

c= -24/3

c= -8

Step-by-step explanation:

Answer:

(x+6)^2 + ( y +3)^2 = 144

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 +(y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x- -6)^2 + ( y - -3)^2 = 12^2

(x+6)^2 + ( y +3)^2 = 144

Answer:

x² + y² + 12x +6y - 99 = 0

Step-by-step explanation:

Given :

Using the Standard equation of circle ,

Answer:

The "!" represents a factorial

Step-by-step explanation:

In math, a factorial when there is an ! followed by a number.

For example, 5! = 5 factorial.

To solve factorials, multiply every integer below the number before the factorial, including the number.

5! = 5 x 4 x 3 x 2 x 1 = 120.

Answer:

60

Step-by-step explanation:

Step 1:

3 x 5 = 15

Step 2:

15 x 4 = 60

Answer:

well 3. x 5 is 15, then multiply by 4 to get 60.

Step-by-step explanation:

Answer:

[tex]{ \tt{p=\frac{3(x^{2} +1)}{2x-1}}} \\ { \tt{p(2x - 1) = 3( {x}^{2} + 1) }} \\ { \tt{2px - p = 3 {x}^{2} + 3 }} \\ { \tt{3 {x}^{2} - (2p)x + (p + 3) = 0}} [/tex]

By factorization :

[tex]{ \tt{ ( {p}^{2} - 3)( p + 3) \: is \: the \: zero}}[/tex]

Since the roots are real, they're greater than zero ( 0 < x ≤ +∞ ):

[tex]{ \tt{ ({p}^{2} - 3})(p + 3) \geqslant 0}[/tex]

Answer:

x = 10

The both line crosses with a little hyphen, meaning those are same

Answered by GAUTHMATH

Answer:

C

Step-by-step explanation:

Answer:  70  and -16

==========================================================

Explanation:

For now, we'll assume x is the largest value (aka the max)

Let's sort the values from smallest to largest.

7, 20, 26, 27, 34, 41, 47, x

We see that 7 is the smallest item, so,

range = max - min = x - 7

Set this equal to 63 and solve for x

x-7 = 63

x = 63+7

x = 70

So x could be equal to 70.

---------------------------

Next, we'll assume that x is the smallest value

That means the min is x and 47 is now the max

max - min = range

47 - x = 63

-x = 63-47

-x = 16

x = -16

So if x is the smallest value, then it must be -16

----------------------------

Finally, we'll let x be somewhere between 7 and 47

Unfortunately, we can't pin down a specific value here since we could have lots of possible values. Three such examples are x = 8, x = 9, and x = 10. There are many others.

If your teacher is looking for 2 values only, then I would refer to the previous two sections and ignore this section entirely.

Answer:

It's an isosceles triangle equal 2 sides so

it will be x+67 ° +67 ° =180° ( sum of angle in triangle)

x+134 °=180 °

x =180 - 134

x = 46 °

The measurement of the missing angles in the given triangle is 67.

Use the concept of isosceles triangle defined as:

A triangle with two equal-length sides is said to be isosceles.

An isosceles triangle has equal angles on either side of its equal sides.

In the given figure,

One angle is 67 degrees

And two sides are equal.

Let the missing angle is x°

Since the two sides of this triangle are equal,

So this is an isosceles triangle.

Then two opposite angles must be equal.

For a triangle,

The sum of interior angles = 180°

Therefore,

67° + 67° + x° = 180°

x° = 46°

Hence,

The measurement of the missing angle is 46°

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Answer:

90n-72=0

Step-by-step explanation:

18×5n-18×4=0

Answer:

1 7/12 acres of land

Step-by-step explanation:

Tomatoes = 1/3 acre of land

Corn = 3/4 acre of land

Carrots = 1/2 acre of land

Total acres of land he planted = tomatoes + corn + carrots

= 1/3 + 3/4 + 1/2

= (4+9+6) / 12

= 19/12 acres

= 1 7/12 acres of land

Or

= 1.5833333333333 acres

Total acres of land he planted = 1 7/12 acres of land

None of the given options is correct

Answer:

[tex]\frac{1}{x} =\frac{1}{3\sqrt{8} } =\frac{1(\sqrt{8})}{3\sqrt{8}(\sqrt{8})} =\frac{\sqrt{8}}{3*8} =\frac{\sqrt{8}}{24} =\frac{\sqrt{(2)(2)(2)}}{24}=\frac{2\sqrt{2} }{2(12)} =\frac{\sqrt{2} }{12}[/tex]

Answer:

h = 8 sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = 8 / h

h sin 45 = 8

h = 8 / sin 45

h = 8 / (1 sqrt(2)

h = 8 sqrt(2)

Answer:

right answer is option D

Step-by-step explanation:

tan 45 = BC/8. ; BC - Lower side

BC = 8

h = 8sq. + 8sq = √128 = 8√2