A rectangular prism has a 4-inch-by-5-inch base and
a height of 3 inches. What figure represents a cross
section parallel to the base of the prism?

Answer:

D

Step-by-step explanation:

Given y varies directly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = [tex]\frac{8}{3}[/tex] when x = 1 and z = 4 , then

[tex]\frac{8}{3}[/tex] = k × 1 × 4 = 4k ( divide both sides by 4 )

[tex]\frac{2}{3}[/tex] = k

y = [tex]\frac{2}{3}[/tex] xz ← equation of variation

When x = 6 and z = 3 , then

y = [tex]\frac{2}{3}[/tex] × 6 × 3 = [tex]\frac{2}{3}[/tex] × 18 = 2 × 6 = 12

Answer:

the answer to this question is

d.)y=⅔xz;y(6,3)=12

Answer:

[tex]x^{15}[/tex]

Step-by-step explanation:

Distribute the ^3 on top

(27 [tex]x^{6}[/tex] [tex]y^{-9}[/tex])

distribute the ^ -9 on bottom, only to what is in the parenthesis

(27 [tex]x^{-9}[/tex] [tex]y^{-9}[/tex])

the 27's cross out, the [tex]y^{-9}[/tex] 's cross out

[tex]x^{6}[/tex]/ [tex]x^{-9}[/tex] is left

move the  [tex]x^{-9}[/tex] to the top of fraction to change its sign

[tex]x^{6}[/tex] · [tex]x^{9}[/tex] = [tex]x^{15}[/tex]

Answer:

Step-by-step explanation:

(-5,-1)  & (-2, -3)

[tex]Slope= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{-3-[-1]}{-2-[-5]}\\\\= \frac{-3+1}{-2+5}\\\\= \frac{-2}{3}[/tex]

m= -2/3  ; (-5,-1)

[tex]y-y_{1}=m(x-x_{1})\\\\y-[-1]= \frac{-2}{3}(x-[-5])\\\\y+1= \frac{-2}{3}(x+5)\\\\y+1=\frac{-2}{3}x+5*\frac{-2}{3}\\\\y+1=\frac{-2}{3}x+\frac{-10}{3}\\\\y=\frac{-2}{3}x+\frac{-10}{3}-1\\\\y=\frac{-2}{3}x+\frac{-10}{3}-\frac{3}{3}\\\\y=\frac{-2}{3}x-\frac{13}{3}[/tex]

Answer:

240 dollars.

Step-by-step explanation:

I'd be assuming you mean the returns on interest rate after you put $6000 into the system, kind of like how you get returns after you deposit money at the bank. In that case:

[tex]6000 \cdot (1 + 4%) - 6000[/tex]

[tex]= 6240 - 6000[/tex]

[tex]= 240[/tex] dollars

Of course, you didn't say how frequently the interest rate would be compounded, so this result would be if the interest was compounded yearly.

Hope this helped!

Answer:

$240

Step-by-step explanation:

4% of $6000 = $240

Step-by-step explanation:

f(x)=2x+1 and g(x)=x²-7

(f/g)(x) = (2x+1)/(x²-7)

Answer:

pls answer my questions plsss

Answer:

PV= $73,201.14

Step-by-step explanation:

Giving the following information:

Future value (FV)= $85,000

Number of periods (n)= 20 months

Interest rate (i)= 0.03/4= 0.0075

To calculate the lump-sum required to reach the objective, we need to use the following formula:

PV= FV / (1 + i)^n

PV= 85,000 / (1.0075^20)

PV= $73,201.14

Answer:

log10( 5x^2)

Step-by-step explanation:

2 log10 (x) + log10 (5)

we know that  c loga (b) = log a (b^c)

log10 x^2 + log10 (5)

We also know that logc a + logc b = logc (ab)

log10 (x^2* 5)

log10( 5x^2)

Answer:

f(-2) = -3

Step-by-step explanation:

When x = -2 we want the value of y

We use the closed circle value ( open circle does not have a value)

f(-2) = -3

Answer:

I think you mean the equation is

[tex]2 {x}^{2} - 2x - 1 = 0[/tex]

And you must find

[tex]delta = {b}^{2} - 4ac = 4 + 8 = 12[/tex]

Answer:

BELOW

Step-by-step explanation:

1) C= PD so

a) 12.56

b) 18.84

c) 37.68

2) C=2PR so

a) 2*3.14*2= 12.56

b) 2*3.14*14= 87.92

c) 2*3.14*12= 75.36

3)  C=2PR so

a) 56.52

b) 69.08

c) 43.96

4)

a) 31.4

b) 56.52

c) 40.82

Answer:

(2,1)

Step-by-step explanation:

one half of (4,2) would be (2,1)

easy math, just a little tricky logic

Answer:

b + s = 14

5b + 10s = 80

Step-by-step explanation:

Answer:

b + s = 14

$5b + $10s = $80

Step-by-step explanation:

the sum of boogie board and surfboard rented is 14

boogie board rented + surfboard rented = 14

b + s = 14  equation 1

total income derived from renting the two types of boards is $80

total income derived = total income derived from renting boogie boards + total income derived from renting surfboards

total income derived from renting boogie boards = cost of renting one boogie board x number of boogie boards rented

= $5 x b = 5b

total income derived from renting surfboards = cost of renting one surfboard x number of surfboards rented

= $10 x s = 10s

80 = 5b + 10s   equation 2

Answer:

The common difference is definitely 3. The common difference is the difference between the numbers in a sequence. In the sequence 3,6,9,12, and 15 the common difference is 3.

Answer:

5

Step-by-step explanation:

Answer:

its 36 dollars

Step-by-step explanation:

27 + x = 62

x = 62 - 27

x = 36

Answer:

x=15 y=24

Step-by-step explanation:

This is because the rule is x goes up 3 y goes up 4

(9,12)->(x,20)

it skips one, so instead of adding 3 we add six

x=15

(15,20)->(18,y)

you follow the rule and 4.

Y=24

Answer:

Hay 56 venados en el grupo.

Step-by-step explanation:

En primer lugar, debemos traducir la proposición (oración) en una expresión matemática:

"Estás equivocado, señor león. Con nosotros, otros tantos, la mitad de nosotros, la cuarta parte de nosotros y tú, señor león, somos 100"

[tex]x + \frac{x}{2} + \frac{x}{4} + 1 = 100[/tex]

[tex]\frac{3\cdot x}{2} + \frac{x}{4} = 99[/tex]

[tex]\frac{7\cdot x}{4} = 99[/tex]

Donde [tex]x[/tex] es el número de venados.

[tex]x = 56.571[/tex]

Puesto que la cantidad de venados es un número entero, debemos truncar al entero más cercano. Es decir:

[tex]x = 56[/tex]

Hay 56 venados en el grupo.

the annual premium for a Whole Life insurance police is  $2,881.61. Option A.

For us to solve the annual premium for a Whole Life insurance policy for a 28-year-old male, we need to look at the provided table.

The premium rate for a 28-year-old male for a Whole Life policy is $17.76 per $1,000 of face value.

Annual premium =  $162,253/ 1000 x 17.76

= $2,881.61

The above exercises is from the question provided in the picture;

You are 28-year-old healthy male and interested in purchasing life insurance. Using the table, determine what the annual premium for a Whole Life insurance police, given that the face value of the policy is $162,253. If need be, round your answer to the nearest cent.

                                            Permanent Insurance

Age               Whole Life        20-Payment Life       20-Year Endowment

                     M           F                 M              F                M              F

25              $16.38    $14.38        $28.40    $25.04      $37.02     $34.87

26              $16.91     $14.77          29.11        25.96        37.67       35.30

27              $17.27     15.23           29.97       26.83        38.23      35.96

28              17.76       15.66           30.68      27.54         38.96       36.44

a. $2,881.61

c. $6,321.38

b. $4,977.92

d. $6,438.20

Find more useful exercises on calculating annual premium;

https://brainly.com/question/9834518

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Answer:

Dhhdhdhgdgdgd djjdhdhdhfh dbdjhdhfv djjdhfhhb is a hdhdh yhvggfff tghrh9

Answer:

O.6, 0.7, 3/4 (0.75)

Answer:

where are the answer choices?

Step-by-step explanation:

B

Please mark me as a brainlist

Answer:

900

Step-by-step explanation:

3²×5 = 45

3×2²×5² = 300

LCM = 900

Hope this helps... pls vote as brainliest

Answer:

y = 4x - 9

Step-by-step explanation:

y = 4x + b

-1 = 4(2) + b

-1 = 8 + b

-9 = b

Answer:

his dad was cutting the grass for 1 hour and 4 minutes i hope this helps

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

no, only the selected were from that ages that doesnt mean they are ALL in that age range

Not all the members who are randomly selected, are between the ages of 50 and 65.

"Random Selection is a procedure of collecting a sample for a particular experiment in a truly random way."

30 members of a local gym were randomly selected to answer a survey.

The selected gym members were between the ages of 50 and 65.

Therefore, not all the members are between the ages of 50 and 65.

Only those 30 members who are selected randomly, fall in the age group of 50 and 65.

Learn more about random selection here: https://brainly.com/question/18800400

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Answer:

1 maps to 1

2 maps to 3

3 maps to 2

Step-by-step explanation:

the correctly assigned answer options describe everything.

there is not much else to say and explain.

these are all true statements due to the symmetry principle of a circle.

when 2 direct connections of two points on the circumference of a circle have the same length, then also their bent distances on the circumference of the circle are the same. and vice versa.

and yes, the perpendicular radius (or diameter) of the circle towards such a line cuts this line in half.

Answer:

x-3=4

x=4+3

X=7

or

x-3=-4

x=-4+3

x=-1

-1 and 7

Step-by-step explanation:

Any equation within the | | notation is an absolute value, where the the value of the equation can only be positive.

So within the notation, we have two possibilities to the solution, a positive and negative value.

In other words, |4| = 4 and |-4| = 4

Hence, we only need to substitute x with an appropriate integer to satisfy the answer.

|x - 3| = 4

substitute x = 7

|7 - 3| = 4

|4| = 4

substitute x = -1

|-1 - 3| = 4

|-4| = 4

Therefore the solutions to x is x = 7 and x = -1.

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

[tex]a\:=\:2[/tex], [tex]b\:=\:-1[/tex] and [tex]c\:=\:-3[/tex]

7) [tex]3 {a}^{2} - b[/tex]

Plugging in the values of [tex]a[/tex] and [tex]b[/tex], we have

[tex] = 3( {2})^{2} - ( - 1)[/tex]

[tex] = 3(2 \times 2) + 1[/tex]

[tex] = 3 \times 4 + 1[/tex]

[tex] = 12 + 1[/tex]

[tex] = 13[/tex]

Hence, [tex]\boxed{ c. \:13 }[/tex] is the correct option.

8) [tex] {a}^{3} {b}^{3} - abc[/tex]

Plugging in the values of [tex]a[/tex] and [tex]b[/tex] and [tex]c[/tex], we have

[tex] = ({2})^{3} ( { - 1})^{3} - 2( - 1)( - 3)[/tex]

[tex] = (2 \times 2 \times 2)( - 1 \times - 1 \times - 1) - 2(3)[/tex]

[tex] = (8)( - 1) - 6[/tex]

[tex] = - 8 - 6[/tex]

[tex] = - 14[/tex]

Hence, [tex]\boxed{ d.\:-14 }[/tex] is the correct option.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex] \huge\underline{\sf{\red{Problem:}}}[/tex]

7.) Detemine the value of [tex] \sf{ {3a}^{2} -b.}[/tex]

[tex] \huge\underline{\sf{\red{Given:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{a = 2}[/tex]

[tex]\quad\quad\quad\quad\sf{b = - 1}[/tex]

[tex]\quad\quad\quad\quad\sf{c = - 3}[/tex]

[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{3a}^{2} - b}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶{(3)( 2)}^{2} -( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶3(4)-( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶12-( - 1)}[/tex]

[tex]\quad \quad \quad \quad \sf{⟶12 + 1 }[/tex]

[tex]\quad \quad \quad \quad ⟶ \boxed{ \sf{ 13}}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{7.)\:13}}}}[/tex]

8.) Find the value of [tex] \sf{ {a}^{3} {b}^{3} - abc.}[/tex]

[tex] \huge\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶ {a}^{3} {b}^{3} - abc}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{(2)}^{3} {( - 1)}^{3} - (2)( - 1)( - 3)}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{(8)}{( - 1)} - ( - 2)( - 3)}[/tex]

[tex]\quad\quad\quad\quad\sf{⟶{( - 8)} - ( 6)}[/tex]

[tex]\quad\quad\quad\quad ⟶\boxed{\sf{ - 14}}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad \quad \underline{ \boxed{ \sf{ \red{8.)-14}}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

Answer:

Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.