Evaluate the expression when a = 5 and b = 7
b +4a

Answer: 28,665 currency units

Step-by-step explanation:

Find the value of the car after 4 years using the Future value formula:

= Amount * ( 1 + rate) ^ no. of years

= 33,750 * ( 1 + (-4%))⁴

= 33,750 * 0.84934656‬

= 28,665.45

= 28,665 currency units

Answer:

[tex]22\ km[/tex]

Step-by-step explanation:

One is given the following information:

One is asked to find the total distance covered on both of these days. In order to do so, one must remember in a fraction, any number over (1) is equal to the numerator (number over the fraction bar). Thus one can form the following equation:

[tex](Thursday)+(Friday) = Total\ distance[/tex]

Substitute,

[tex](Thursday)+(Friday) = Total\ distance[/tex]

[tex](10\frac{1}{1})+(10\frac{1}{1}) = Total\ distance[/tex]

Simplify,

[tex](10\frac{1}{1})+(10\frac{1}{1}) = Total\ distance[/tex]

[tex](10+1)+(10+1) = Total\ distance[/tex]

[tex](11)+(11)=Total\ distance[/tex]

[tex]11+11=Total\ distance[/tex]

[tex]22=Total\ distance[/tex]

Answer:

[tex]a_{n}[/tex] = 20 - 9n

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 2 - 11 = - 7 - 2 = - 9

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = - 9 , then

[tex]a_{n}[/tex] = 11 - 9(n - 1) = 11 - 9n + 9 = 20 - 9n

Answer:

Step-by-step explanation:

"100" or any constant at the end of the equation is r² (radius squared). So, the radius is 10.

the center of the circle is (-6, 2)

the equation template of a circle is (x -h)² + (y - k)² = c

(h,k) is the center of the cirlce.

Answer:

p

Step-by-step explanation:

Absolute value cancels negative so the greatest would be P.

have a nice day and i hope this helps! <3

Answer:

---------

Step-by-step explanation:

x-3= -9

x= -9/ 3

x= -3

( -3x)-5 =16

-3x = 16+5

×= 21/-3

x = -7

Answer:

Try that....

[tex]f(x) = \frac{1}{ {5}^{x} } [/tex]

Step-by-step explanation:

I hope that is useful for you :)

Answer:

dvdvsdv

Step-by-step explanation:

dsvfvdfvdv

Answer:6

Step-by-step explanation:

Answer:

18/999

Step-by-step explanation:

Answer:

2/111 = 18/999

Answer:

We can use the Pythagorean theorem and properties of sines, cosines, and tangents to solve the triangle, that is, to find unknown parts in terms of known parts.

Step-by-step explanation:

Pythagorean theorem:   a2 + b2 = c2.

Sines:   sin A = a/c, sin B = b/c.

Cosines:   cos A = b/c, cos B = a/c.

Tangents:   tan A = a/b, tan B = b/a.

9514 1404 393

Answer:

  x = -6

Step-by-step explanation:

The curve is symmetrical about the vertical line through the minimum point. That minimum is 6 grid squares left of the y-axis, so the equation is ...

  x = -6

Answer:

0 h= 0 mi

1 h = 60 mi

2 h = 120 mi

3 h = 180 mi

Step-by-step explanation:

lateral surface area here = πrl

r = 10

l = √h²+r²= √ 24²+ 10² = 26

lateral surface area = 10 × 26 × π

= 260π in²

hope this will be helpful to you .

plz mark my answer as brainlist if you find it useful.

Answer:

The lateral area of cone is 260π in².

Step-by-step explanation:

[tex]\begin{gathered}\end{gathered}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

[tex]\star{\underline{\boxed{\sf{\purple{\ell = \sqrt{{(r)}^{2} + {(h)}^{2}}}}}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\purple{La_{(Cone)}= \pi r\ell}}}}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

Finding the slant height of cone by substituting the values in the formula :

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{\ell = \sqrt{{(r)}^{2} + {(h)}^{2}}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{{(10)}^{2} + {(24)}^{2}}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{{(10 \times 10)} + {(24 \times 24)}}}}}\\\\\quad{\longrightarrow{\sf{\ell = \sqrt{(100)+(576)}}}}\\\\\qquad{\longrightarrow{\sf{\ell = \sqrt{100 + 576}}}}\\\\\quad{\longrightarrow{\sf{\ell = \sqrt{676}}}}\\\\\quad{\longrightarrow{\sf{\ell = 26 \: in}}}\\\\\quad\star\underline{\boxed{\sf{\pink{\ell = 26 \: in}}}} \end{gathered}[/tex]

Hence, the slant height of cone is 26 in.

[tex]\begin{gathered}\end{gathered}[/tex]

Now, finding the lateral area of cone by substituting the values in the formula :

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{La_{(Cone)} = \pi r \ell}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = \pi \times 10 \times 26}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = \pi \times 260}}}\\\\\qquad{\longrightarrow{\sf{La_{(Cone)} = 260\pi\: {in}^{2}}}}\\\\ \qquad{\star{\underline{\boxed{\sf{\pink{La_{(Cone)} = 260\pi \: {in}^{2}}}}}}}\end{gathered}[/tex]

Therefore, the lateral area of cone is 260π in².

[tex]\rule{300}{2.5}[/tex]

Answer:

The answer is D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

10 times larger

Answer:

27 girls and 18 boys

Step-by-step explanation:

you need to divide the 45 pupils into 60 and 40 percent to

Answer:

1)54° 2)5π 3)a=3π 4)b 5)(x – 11)^2+ (y – 6)^2=36 6)center=(7,-6) radius=5 8)b

Step-by-step explanation:

1- π radians = 180°

so 3π/10=(3*180)/10=54°

2- in order to find arc length we need to find the ratio of the angles then make that equal to the ratio of the arc length to the perimeter:

x=arc length of HN

150/360=x/2πr

5/12=x/2*6π

5/12=x/12π

12*5π=12x

x=5π

3- in order to find the area of the shaded region we have to take the ratio of the angles and make that equal to the ratio of the area of the shaded region to the whole area:

a=area of the shaded region

30/360=a/πr^2

1/12=a/36π

36π=12a

a=3π

4- a slice of a 16 inch pizza has an area of 64π/8=8π

two slices of a 10 inch pizza has an area of 2*(25π/8)= 6.25π

therefore we would be more satisfied with a slice of an 16 inch pizza, which is b.

5- the formula for the equation of a circle is: (x – h)^2+ (y – k)2 = r2

h=x-coordinate of the center point k= y-coordinate of the center r=radius

in this question the center is (11,6) so h=11, k=6 and the radius is 6 so r=6

we plug in

(x – 11)^2+ (y – 6)^2=36

6- h=7 k=-6 so the center is (7,-6)

radius=5

8- center=(1,3) and radius=2

so the graph that corresponds to these values is b

Step-by-step explanation:

x = 15 as sum of exterior angles is 360⁰

pur value of x and get each answer

I am not solving whole as it will result in lack of your practice, how will you combat tests or exams?

The total distance around the track is 332.2 meters

The complete question is in the attached image

The given parameters are:

Radius, r = 25 m

Length, l = 87.6 m

Start by calculating the circumference of the two semi-circular ends using:

[tex]C = 2\pi r[/tex]

So, we have:

C = 2* 3.14 * 25

Evaluate

C = 157

The total distance around the track is then calculated as:

Total = 2l + C

This gives

Total = 2 * 87.6 + 157

Evaluate

Total = 332.2

Hence, the total distance around the track is 332.2 meters

Read more about perimeter at:

https://brainly.com/question/24571594

#SPJ1

Answer:

LCM= 3300

HCF=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-8x+7y)(-8x+7y)+(2x-2y)(2x-2y)

=64x²-56xy-56xy+49y²+(4x²-4xy-4xy+4y²)

=64x²-112xy+49y²+4x²-8xy+4y²

=68x²-120xy+53y²

[tex]\sf \left(\dfrac{1}{7}\right)^3\ is\ basically\ like\ saying\ you're\ multiplying\ \dfrac{1}{7}\ by\ \dfrac{1}{7},\ three\ times.[/tex]

[tex]\implies\ \sf \dfrac{1}{7}\ \times\ \dfrac{1}{7}\ \times\ \dfrac{1}{7}\\\\\\\implies\ \dfrac{1}{343}[/tex]

Therefore, (1/7)³ = 1/343, implying that the answer is option (D).

Hope it helps. :)

Answer:

D, 1/343

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

4x - 4 + 4x - 4 + x = 118

9x - 8 = 118

9x = 126

x = 14

Answer:

x < -4

Step-by-step explanation:

2(-3x - 4) > 16

-6x - 8 > 16

-6x > 16 + 8

-6x > 24

-x > 4

x < -4

Answer:

x < -4

Step-by-step explanation:

2(-3x - 4) > 16

Distribute.

-6x - 8 > 16

Add 8 to both sides.

-6x > 24

Divide by -6. When dividing by a negative, flip the sign.

x < -4.