A family drives an average speed of 60 miles per hour on a trip from Pensacola to Orlando.
Part A
Write an inequality to show how many hours, h, the family must drive to travel the 438 miles to Orlando.
Part B
For how many hours must the family drive to travel the 438 miles?

Answer:

B. -3

Step-by-step explanation:

Find the common ratio by dividing a term in the sequence by the one before it:

6/-2

= -3

So, the common ratio is -3.

The correct answer is B. -3

Answer:

B

Step-by-step explanation:

The geometric ratio is a3/a2=a2/a1=-2/(2/3)=-3.

Answer:

F(8,6)

Step-by-step explanation:

(x₁,x₂)  --> E (-7, 2)

F(x₂,y₂)

Midpoint M(0.5 , 4)

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{+y_{1}+y_{2}}{2})[/tex]

[tex](\frac{-7+x_{2}}{2},\frac{2+y_{2}}{2}) = (0.5, 4)\\\\[/tex]

Compare x,coordinates and y-coordinates,

[tex]\frac{-7+x_{2}}{2}= 0.5 \ ; \ \frac{2+y_{2}}{2}=4\\\\[/tex]

-7 + x₂ = 0.5*2    ; 2+y₂ = 4*2

-7+ x₂ = 1             ; 2 +y₂ = 8

     x₂ = 1+ 7        ;      y₂ = 8 - 2

     x₂ = 8            ;     y₂ = 6

F(8,6)

Answer:

F(8,6)

Step-by-step explanation:

(x₁,x₂)  --> E (-7, 2)

F(x₂,y₂)

Midpoint M(0.5 , 4)

Midpoint =

Compare x,coordinates and y-coordinates,

-7 + x₂ = 0.5*2    ; 2+y₂ = 4*2

-7+ x₂ = 1             ; 2 +y₂ = 8

    x₂ = 1+ 7        ;      y₂ = 8 - 2

    x₂ = 8            ;     y₂ = 6

F(8,6)

Answer:

19

Step-by-step explanation:

If the number has atleast 1 digit that is 7, they say "Buzz."

7

17

27

37

47

57

67

70

71

72

73

74

75

76

77

78

79

87

97

I counted 19.

I hope this helps!

pls ❤ and give brainliest pls

Answer:

4

Step-by-step explanation:

Let's simplify step-by-step.

−2z2+4z+2z2

Combine Like Terms:

=−2z2+4z+2z2

=(−2z2+2z2)+(4z)

=4z

Answer:

4z

Hope this helps <3 Need thanks?

Comment /hearthelp

[tex]\\ \sf\longmapsto -2z^2+4z+2z^2[/tex]

[tex]\\ \sf\longmapsto -2z^2+2z^2+4z[/tex]

[tex]\\ \sf\longmapsto (-2+2)z^2+4z[/tex]

[tex]\\ \sf\longmapsto 0z^2+4z[/tex]

[tex]\\ \sf\longmapsto 4z[/tex]

Answer:

a46%

b54%

Step-by-step explanation:

Answer:

she went 90 miles in 3 hours

Step-by-step explanation:

in 20 minutes, she went 10 miles.

so in 1 hour, we multiply both 10 and 20 by 3

in 1 hour, Amelia drives 30 miles

we multiply this by 3,

and we get 90 miles in 3 hours :)

Answer:

B. $28

Step-by-step explanation:

Find the sales tax by finding 4% of 711:

711(0.04)

= 28.44

This is closest to 28.

So, the correct answer is B. $28

Answer:

B=.5*8*6=.5*48=24

h = 8

P=10+6+8=24

Surface area =2*24+24*8=48+192=240

Step-by-step explanation:

The base is a triangle, and the area of a triangle is 1/2 base (or width) times height (or length). In this case, base is 8 and height is 6, so the area can be found either by multiplying .5*8*6 or by dividing 8*6 by 2, either of which will give you the same answer of B=24.

Height is given, h=8.

Perimeter is simply the sum of the sides, which are given, so the perimeter is 8+6+10=24.

The formula for surface area is given, so all you need to do is plug in your previous answers and you've got it!

Answer:

[tex] \sin(120) \\ = \sin(90 + 30) \\ = \cos(30) \\ = \frac{ \sqrt{3} }{2} \\ \\ \tan( \frac{3\pi}{4} ) \\ = \tan(135) \\ = \tan(90 + 45) \\ = - \cot(45) \\ = - 1[/tex]

[tex]\\ \rm\longmapsto sin120[/tex]

[tex]\\ \rm\longmapsto sin(90+30)[/tex]

[tex]\\ \rm\longmapsto cos30[/tex]

[tex]\\ \rm\longmapsto \dfrac{\sqrt{3}}{2}[/tex]

Now

[tex]\\ \rm\longmapsto tan\left(\dfrac{2\pi}{4}\right)[/tex]

[tex]\\ \rm\longmapsto tan135[/tex]

[tex]\\ \rm\longmapsto -1[/tex]

1 - 580squaredcm

2 - 540

Answer:

40km per hour

Step-by-step explanation:

30 minutes × 2 = 60 minutes/1 hour

80 kilometers ÷ 2 = 40 kilometers

40:60

Answer:

x = 4.59

Step-by-step explanation:

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

tan theta = opp / adj

tan 74 = 16/ x

x tan 74 = 16

x = 16/ tan 74

x=4.58792

[tex]\huge\text{Hey there!}[/tex]

[tex]\boxed{\boxed{\huge\text{Formula: \boxed{\text{tan } \theta = \mathsf{\dfrac{Opposite}{Adjacent}}}}}}[/tex]

[tex]\boxed{\huge\text{\boxed{\mathsf{\bold{tan\ 74} = \dfrac{16}{x}}}}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{x tan 74 equals \bf 16}}}[/tex]

[tex]\boxed{\huge\text{x = }\boxed{\mathsf{\dfrac{16}{tan \ 74}}}}[/tex]

[tex]\boxed{\boxed{\huge\text{x = \bf x=4.58792}}}\boxed{\boxed{\huge\text{\bf (ORIGINALLY)}}}[/tex]

[tex]\boxed{\boxed{\huge\text{x = \boxed{\bf 4.58792\ or \ 4.58 \ is \approx \underline{\underline{4.59}}}}}}\huge\checkmark[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \boxed{\textsf{Option C. \bf 4.59}}}}}\huge\checkmark[/tex]

[tex]\huge\text{\huge\text{Good luck on your assignment \& enjoy your day!}}[/tex]

~[tex]\boxed{\huge\text{\boxed{\frak{Amphitrite1040:)}}}}[/tex]

Answer:

Step-by-step explanation:

: v

Answer:

(x + 10)² = 4

Step-by-step explanation:

Given

2x² + 192 = - 40x ( add 40x to both sides )

2x² + 40x + 192 = 0 ( subtract 192 from both sides )

2x² + 40x = - 192 ( divide through by 2 )

x² + 20x =- 96

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(10)x + 100 = - 96 + 100

(x + 10)² = 4

Answer:

just apply d formular 4 each

lykfor the mean=£fx/£f...which x is the inches and f is the frequency...multiply both from 63 to 75 inches e.g 63×2=126, 65×1=65...then add the scores together.... then divide it by the summation of the frequency which is 2+1+4+3+1+2+2+2+1+3+2+2=23. note am applying this method based on the formular

for median=£f/2 since it's odd number add +1

=£f+1/2

=23+1/2

=24/2

=12 .the 12 would fall on 69 inches using the cumulative method

mode is 66 since it's the number with the highest frequency

Answer:

?

Step-by-step explanation:

how do u get that answer.

Part 1

[tex]\left(\frac{g}{h}\right)(x) = \frac{g(x)}{h(x)}\\\\\left(\frac{g}{h}\right)(x) = \frac{3x-5}{-2x^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{3(3)-5}{-2(3)^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{4}{-11}\\\\\left(\frac{g}{h}\right)(3) = -\frac{4}{11}\\\\[/tex]

Answer:  -4/11

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

Part 2

Set the denominator function equal to zero and solve for x to find which values to kick out of the domain.

[tex]h(x) = 0\\\\-2x^2+7 = 0\\\\7 = 2x^2\\\\2x^2 = 7\\\\x^2 = 7/2\\\\x^2 = 3.5\\\\x = \sqrt{3.5} \ \text{ or } x = -\sqrt{3.5}\\\\[/tex]

This shows that if x is equal to either of those values, then the denominator h(x) will be zero. These are the values to kick out of the domain to prevent a division by zero error. Any other value of x is valid in the domain.

Answer: [tex]x = \sqrt{3.5} \text{ and } x = -\sqrt{3.5}\\\\[/tex]

Answer:

The missing letter is ( J )

Answer:

( 1, - 3.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = C (9, 2) and (x₂, y₂ ) = D (- 7, - 9 )

midpoint = ( [tex]\frac{9-7}{2}[/tex] , [tex]\frac{2-9}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex], [tex]\frac{-7}{2}[/tex] ) = (1, - 3.5 )

it was helpful to you:

[tex]3 {x}^{2} + 3 {y}^{2} - 48x + 60y + 384 = 0 \\ \\ (x - a) {}^{2} + (y - b) {}^{2} = {r}^{2} \\ is \: the \: circle \: equcation \\ with \: a \: radius \: r \: centered \\ at \: (a \: b) \\ \\ rewrite \: 3 {x}^{2} + 3 {y}^{2} - 48x + 60y + \\ 384 = 0 \: in \: the \: standard \: of \: \\ circle \: equation \\ (x - {8}^{2} ) + (y - ( - 10)) {}^{2} \\ \\ therefore \: the \: circle \: properties \\ \: are \: (a \: b) = (8 \: - 10) \: r = 6 \\ \\ answer \: is \: (8 \: - 10) \: r = 6[/tex]

Answer:

Answer is A!

Step-by-step explanation:

I got it right on edg 2021!

Answer:

3^2  = 9

(-4+5)^2-11+2^3 = -2

-2/9 or -9/2 ... re-read question is 3^2 dividing into (-4+5)^2-11+2^3

or the other way around... I think that there is a missing word...

3^2 "divided into"

vs 3^2 "divided by"

Step-by-step explanation:

Answer:

Step-by-step explanation:

The diagram is given to you below. I could not change <C so that it was theta. So C = theta.

So C is the reference angle. Call it theta when you think of it. The diagram shows you how cos(C) must be set up.

The adjacent side is 7

The hypotenuse is 18

theta = C = cos-1(7/18) = 67.11

To the nearest degree 67.11 = 67

Answer:

im good

Step-by-step explanation:

The easiest and most time-effective way to approach this problem is to use the quadratic formula:

[tex]x=\frac{-b\pm\sqrt{ b^2-4ac}}{2a}[/tex],

where a = 2, b = -1, and c = 4. (We get this from the general quadratic: ax² + bx + c.)

When we plug in our numbers, we get [tex]x=\frac{1\pm\sqrt{1-32}}{4}[/tex] which also equals [tex]\frac{1\pm i\sqrt{31}}{4}[/tex], or the first choice!

:)

Answer:

D) y=-4

Step-by-step explanation:

we can multiply the first equation by -3 to cancel out the x's

and then add the first equation and the second equation

9x-21y=48

-9x+5y=16

0x-16y=64

y=-64/16=-4

Answer:

9 (a)

x=50

y=75

(b)

(i)

y=105

(ii)

y=145

Step-by-step explanation:

The explanation is in the picture!

Answer:

x = 1

Step-by-step explanation:

The two angles, ∠HGI & ∠IGF, when combined, will result in ∠HGF.

Note:

m∠IGF = 135x

m∠HGI = 26x

m∠HGF = 161°

Set the equation:

m∠IGF + m∠HGI = m∠HGF

Plug in the corresponding terms to the corresponding variables:

135x + 26x = 161

Combine like terms:

(135x + 26x) = 161

161x = 161

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 161 from both sides:

(161x)/161 = (161)/161

x = 1

1 is your answer.

~

x = 161/161 = 1

Answer:

Sally is 30 and Suki is 20

Step-by-step explanation:

x = Sally's age

y = Suki's age

x = 10 + y

(x - 5) + (y - 5) = 40

x = 30, y = 20

Answer:

B

Step-by-step explanation:

(x/(x-2))*(3/(x-2))=3x/(x-2)^2=3x/(x^2-4x+4)

Answer:

Step 1: 12-2a=3a-18

Step 2: 12-5a=-18

Step 3: -5a=-30

Step 4: a=6

I hope this helps!

pls ❤ and give brainliest pls