A function is given. h(t) = −t + 6/5 ; t = −3, t = 1

Answers

Answer 1

Answer:

h(-3) = 4.2 or 21/5

h(1) = 0.2 or 1/5

Step-by-step explanation:

Plug in -3 for t.

-(-3) + 6/5 = 4.2 or 21/5

Plug in 1 for t.

-(1) + 6/5 = 0.2 or 1/5


Related Questions

-4√x + 5 + 5


I’m not sure how to solve. Radical quadratic function.

Answers

Answer:

si es funcion radical al final se pondra con raiz y las raizes son como potenciacion pero al revez es como multiplicacion y su opuesto en divicion haci que 5 mas 5 es 10 mas 4 es 14 pero sigue al raiz haci que se tiene que buscar una raiz a 14 seria 3,7288 y haci pero si no tenemos entonces una divicion 7 por 2 14 pero no se puede haci que 4 entre 7 la respuesta la pondrias como 4 (imagen de raiz encima del 7) 7

Step-by-step explanation:

espero ayudarte utilice un 64/1 de mi cabeza

find the area of the circle whose diameter is 10 cm

Answers

Answer:

78.55cm^2

Step-by-step explanation:

area of a circle = πr^2

where π= 3.142

r= radius= diameter/2

radius= 10/2= 5

area= 3.142×(5)^2

area= 3.142×25=78.55cm^2

Philippa took out a $860 discounted loan for a period of m months and the simple interest rate was 6%. The amount that was actually disbursed into her bank account was $838.50. Calculate the effective interest rate of this loan, to the nearest 0.01%

Answers

The effective rate of interest is given by the same formula but with the disbursed amount which is $838.50.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Philippa took out an $860 discounted loan for a period of m months and the simple interest rate was 6%. The amount that was actually disbursed into her bank account was $838.50.

Then the effective interest rate of this loan, to the nearest 0.01% will be

So, from the question the interest that is deducted = $860-$838.50 = $21.50

Now, I = Prt/100

So, t = 100 (I/Pr) = 0.42 years = 5months

therefore m = 5months

So, the effective rate of interest is given by the same formula but with the disbursed amount which is $838.50.

I = Prt/100

Therefore, r = 100 (I/Pt) = 6.15%

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The diameter of the circle above is 14 cm. What is the circumference of the circle? Use a = 3.14.
Circumference 2пт
A. 153.86 cm
B. 21.98 cm
C. 43.96 cm
D. 307.72 cm

Answers

Answer:

43.96 or C

Step-by-step explanation:

c=(pi)(d)

pi --> 3.14

d --> diameter (in your case 14.)

c=3.14*14

c= 43.96

Both formulas work, 2(pi)r and (pi)(d)

But, if they give you the diameter then use (pi)(d).

If they give you the radius then use 2(pi)r

Me colaboran con esta ecuacion 4x+3=3x+5​​

Answers

[tex]\boxed{ x= 2}[/tex]

Solution :

[tex]4x+3=3x+5[/tex]

Subtract 3 from both sides :

[tex]4x + 3 = 3x + 5[/tex]

[tex]4x + 3-3 = 3x + 5-3[/tex]

[tex]4x = 3x + 2[/tex]

Subtract 3x from both sides :

[tex]4x = 3x + 2[/tex]

[tex]4x-3x = 3x + 2-3x[/tex]

[tex]x = 2[/tex]

[tex]\sf{\qquad\qquad\huge\underline{{\sf Answer}}}[/tex]

The value that satisfies the first degree equation is: x = 2.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf Verification:[/tex]

[tex] \qquad \sf \dashrightarrow42 + 3 = 32 + 5[/tex]

[tex] \: \: \qquad \sf \dashrightarrow 8 + 3 = 6 + 5[/tex]

[tex] \: \: \qquad \sf \dashrightarrow11 = 11[/tex]

Solving a first degree equation

The objective of the problem is to know what is the number that allows the stated equality to be fulfilled, for this it is necessary to clear the value of x.

The formulation is first degree:

[tex] \: \: \: \: \: \: \: \: \: \: \: \boxed{ \Rrightarrow\bf 4x + 3 = 3x + 5}[/tex]

The variables must be grouped in the same term, in this case we will do it in the left term, and the constants (numbers) in the right.

1) Subtract -3x from both terms:

[tex] \qquad \sf \dashrightarrow4x + 3 - 3x = 3x - 3x + 5[/tex]

[tex] \qquad \sf \dashrightarrow \: x + 3 = 5[/tex]

2) Subtract three units for each term:

[tex] \qquad \sf \dashrightarrow \: x + 3 - 3 = 5 - 3[/tex]

[tex] \qquad \sf \dashrightarrow \: {x =2 \: ✔}[/tex]

I hope I've helped : )

Find the exponential equation that passes through the points 0,6 and 2,3.84 in y=ab^x form

Answers

Answer:

y=ab^x

y=6.0.8^x

Step-by-step explanation:

find exponential function by substituting given values into y=ab^x and the solve

Please i really need help, i really need this i will give a brainliest to the people that answer correctly

Answers

Answer:

B

Step-by-step explanation:

y is first so, 8,1 6,2 4,3 2,4 0,5

Find the area of the rectangular prism net

Answers

Answer:

52 units^2

Step-by-step explanation:

Given:-

Length(L): 4

Width(W): 3

Height(H): 2

Surface area = 2(LW+WH+HL)

2(4×3+3×2+2×4)

2(12+6+8)

52 units^2

Hope this answers your question!!

Find:
Number X. if
3
of x is 12.

Answers

Answer:

x=4

or

x=36

Step-by-step explanation:

I am wondering if you mean 3x=12 or x/3=12

if 3x=12, then x=4

if x/3=12, then x=36

Help??
x^2 - 5x + 6
I dont need the answer, I have done the steps and gotten to x(x-2)-3(x-2)
I know the answer is (x-2)(x-3)
How do you get (x-2)(x-3) from x(x-2)-3(x-2) ?

Answers

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

             Solve x²-5x+6

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

(x-2)(x-3)

[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]

                      First, we think of two numbers such that

     If we multiply them, we'll get 6

      If we add them, we'll get -5

These numbers are -2 and -3.

Write them here:

(x-2)(x-3)

Now, how do we get (x-2)(x-3) from x(x-2)-3(x-2)?

Notice that (x-2) is the common term, so we factor it out:

(x-2)

And now, we write the other two terms that are left in the parentheses:

(And the terms left are x and -3)

(x-2)(x-3)

Notice that we ended up with the same answer.

Good luck.

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

Solve for the variable: 3(x+2) - 9 = 15 - 4(5x - 2)

Make sure you round you answer to the nearest whole number

Answers

Answer:

x=1.13

Step-by-step explanation:

isolate the variable and the numbers and solve.

Please help
Step by step

Answers

The consumption of electricity in May based on the model will be 1225kw.

How to calculate the consumption?

The model that's given to calculate the consumption is:

C = 1200 + 5t

May = 5th month

The consumption in May will be:

C = 1200 + 5t

C = 1200 + 5(5)

C = 1200 + 25

C = 1225Kw

In conclusion, the consumption of electricity in May based on the model will be 1225kw.

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The circumference of a circle is 113.04 centimetres. What is the circle's radius?
Use 3.14 for ​.

Answers

Answer:

18 centimeters

Step-by-step explanation:

Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.

Divide the diameter by 2.

There you go, you found the circle's radius

Answer it please!!!! I need help with it!

Answers

Considering the piece-wise function, the value of the function at x = 2, that is, g(2), is given by:

C. 1.

What is a piece-wise function?

It is a function that has different definitions based on the input.

In this problem, the function is defined by:

[tex]g(x) = \left(\frac{1}{2}\right)^{x-3}, x < 2[/tex].[tex]g(x) = x^3 - 9x^2 + 27x - 25, x \geq 2[/tex].

Due to the equal sign, x = 2 is part of the second definition, hence:

g(2) = 2³ - 9(2)² + 27(2) - 25 = 1.

Which means that option C is correct.

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3(a+1.5)= -1.5 what does a equal

Answers

Answer:

-2

Step-by-step explanation:

3(a+1.5)=-1.5

a+1.5 = - 1.5/3 = - 0.5

a = - 0.5 - 1.5 = - 2

Answer:

Step-by-step explanation:

3a + 4.5 = -1.5

3a = -6

a = -2

The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9

Answers

Step-by-step explanation:

The domain of the function is all real numbers less than or equal to −2 - FALSE;

The domain of the function is all real numbers less than or equal to 9 - FALSE;

The range of the function is all real numbers less than or equal to −2 - FALSE;

The range of the function is all real numbers less than or equal to 9 - TRUE.

PS. the domain is (-∝;+∝); the range is (-∝;9].

Does anyone know the answer? Please and Thank you!

Answers

Answer:

no because nkow one can explain

Soo i need yall help rlly bad w it pls

Answers

The total number of inches yards that she have is 6.95 yards

Sum of fractions

Given the following parameters

Amount of red yards = 4.2 inches

Amount of blue yards = 2.75inches

In order to determine the total yards, the sum of the yards is expressed as:

Total yards = 4.2 + 2.75

Total yards = 6.95 yards

Hence the total number of inches yards that she have is 6.95 yards

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Patton is organizing his stamp collection into a book. He has 42 foreign stamps and 70 U.S. stamps. He wants every page to have the same number of foreign stamps and the same number of U.S. stamps. He also wants to put the greatest possible number of stamps on each page. How many pages will he use?

A) 2
B) 6
C) 10
D) 7​

Answers

Answer:

D. 7

Step-by-step explanation:

42 + 70 = 112 stamps altogether.

112 can be divided by 2, 4, 7, 8, 14, 16, 28, 56

to be more simpler, since there are options, we can cross out the other numbers not shown in the options. then see that 6 and 10 are not divisible by 112, so cross them out. it will left with option A and option D.

option A is 2. if he uses two pages, then each page should have a total of 56 stamps. however, foreign stamps have an amount of 42 only, so it is quite impossible to fit in more than 42.

option D is 7. if he uses 7 pages, then each page could fit in 16 stamps.

so the answer will be option D.

find maclaurin series

Answers

Recall the Maclaurin expansion for cos(x), valid for all real x :

[tex]\displaystyle \cos(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n)!}[/tex]

Then replacing x with √5 x (I'm assuming you mean √5 times x, and not √(5x)) gives

[tex]\displaystyle \cos\left(\sqrt 5\,x\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt5\,x\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^{2n}}{(2n)!}[/tex]

The first 3 terms of the series are

[tex]\cos\left(\sqrt5\,x\right) \approx 1 - \dfrac{5x^2}2 + \dfrac{25x^4}{24}[/tex]

and the general n-th term is as shown in the series.

In case you did mean cos(√(5x)), we would instead end up with

[tex]\displaystyle \cos\left(\sqrt{5x}\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt{5x}\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^n}{(2n)!}[/tex]

which amounts to replacing the x with √x in the expansion of cos(√5 x) :

[tex]\cos\left(\sqrt{5x}\right) \approx 1 - \dfrac{5x}2 + \dfrac{25x^2}{24}[/tex]

Each painting class Olivia teaches is h hours long. She teaches 6 classes per week. Write an expression that shows the total number of hours she teaches

Answers

Answer:

6h

Step-by-step explanation:

If Olivia teaches 6 classes that are 1 hour, she teaches 6×1 is 6 hours.

If the classes are two hours, she teaches 6×2 is 12 hours.

Try with numbers to see what math operation you are doing. Its times.

6×h is written 6h

6h is the  expression that shows the total number of hours she teaches

What is Expression?

An expression is combination of variables, numbers and operators.

Given,

Each painting class Olivia teaches is h hours long.

The number of classes teached by Olivia in a week is 6.

We need to find an expression that shows the total number of hours she teaches

6h is the required expression.

h is the variable because its value will be changed.

Hence, 6h is the  expression that shows the total number of hours she teaches

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Which expression represents the quotient of seventeen and four?

Answers

Answer:

17/4

or

17 ÷ 4

Step-by-step explanation:

This equals 4.25.

hope this helps

have a good day

The quotient of seventeen and four in the mixed fraction form will be 4 ¹/₄. Then the correct option is A.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Convert the statement 'quotient of seventeen and four' into a mathematical expression. Then we have

⇒ 17 / 4

Convert the fraction number into a mixed fraction number, then we have

⇒ 17 / 4

⇒ 4 ¹/₄

The quotient of seventeen and four in the mixed fraction form will be 4 ¹/₄. Then the correct option is A.

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The missing options are given below.

A. 4 1/4      B. 4 3/4      C. 3 1/4      D. 3 3/4


I need a the answer please!!

Answers

The slope of the red line is 2/5.

The slope of the blue line is 1/4.

write the expression 5x^-4 using only positive exponents

Answers

Answer:

1/5x^4

Step-by-step explanation:

To change a negative exponent to a positive one, flip it into a reciprocal. This is what I have done here.

Does anyone know the correct answer

Answers

Answer:

D. None of these

Step-by-step explanation:

(5×10^8)(4×10^3)

=20 × 10^11

All the terms are being multiplied. There is no distributive property (FOIL) here. Rearrange the numbers in any order that helps you.

5 × 4 × 10^8 × 10^3

Add exponents to multiply the 10's.

and in proper scientific notation, one last change would give you

2.0 × 10^12

6846 is shared equally between 7 people. How much does each person get

Answers

978 you divide 6846 and 7 and you get 978


HELPPP
a) x + 5 = 11
b) x-6=8
C) 3+ x=7
d) 12 = x + 5

Answers

Answer:

A) 6

B) 14

C) 4

D) 7

Hope it helps :))

Alexandra wanted to make a doormat to place at her front door. Below is the scaled drawing she will use to make it.How much material will Alexandra need to make this doormat

Answers

Answer:

112.5 pi

Step-by-step explanation:

hi, to find this we need to know the formula for the area of a circle. it is:

a=pi*radius^2

so the radius is 30/2=15

now we can just plug 15 in to find the area.

a=pi*15^2

a=225pi

now, that is the area for the full circle, but here it is a semi circle, so we just divide 225 pi by 2 to get

112.5 pi, or 112.5π

Find the slope of the line passing through the points (-6,7) and (-8,5)

Answers

Answer:

Slope = 1

Step-by-step explanation:

Curve sketching procedure Calculus

Answers

Answer:

Step-by-step explanation:

I don't know what is meant by "analyze the function," but I can draw the functions.

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