write as an algebraic expression

Answer:

7,035.95

Step-by-step explanation:

If your Current Principal Is 4,550.00, and your interest rate is 5.6%, then in 8 years you would have 7,035.95 if your interest rate is anually.

Answer:

5/12 is greater

Answer:

5/12 is greater than 1/12

Step-by-step explanation:

when you compare 2 fractions with the same denominator, greater is the one with bigger numerator so 5/12  

Answer:

the answer should be c

Step-by-step explanation:

Answer: D

Step-by-step explanation: D

Answer:

[tex] \boxed{m \angle SZT = 121 \degree } [/tex]

Given:

[tex]m \angle RZT = 137 \degree \\ m\angle RZS = 56 \degree [/tex]

Step-by-step explanation:

[tex]= > m \angle RZT = m\angle RZS + m \angle SZT \\ \\ = >157 \degree = 36 \degree+ m \angle SZT \\ \\ = > 157 \degree - 36 \degree = m \angle SZT \\ \\ = > 121 \degree = m \angle SZT \\ \\ = > m \angle SZT = 121 \degree [/tex]

Answer: 72 bottles

Given,

internal diameter=36cm

internal radius=36/2=18cm

volume of bowl=2/3 πr³

=2/3(22/7)(18³)

=2×22×18³/7×3

=12219.4cm³

volume of bottle=πR²h

=22/7(3²)(6)

=22×9×6/7

=169.7cm³

no. of bottles required=12219.4/169.7

=72.23=72 bottles approx

-3

Explanation:

Rate of change in the interval

X=0 to X=3 is given by,

[tex]r = \frac{f(3) - f(0)}{3 - 0} \\ here \\ f(3) = 1 \\ f(0) = 10 \\ r = \frac{1 - 10}{3} \\ \: \: \: = \frac{ - 9}{ 3} \\ \: \: \: \: = - 3 \\ hope \: it \: helps.....[/tex]

Answer:

Step-by-step explanation:

y = 10x + 50

x ---> no of weeks

y - intercept = 50

Answer:

The average is mean

Mean is the sum of all the numbers divided by the total so the first prime numbers which are grater than 10 are 11, 13, 17, 19.

So we will add these

11+13+17+19=60

60/4= 15

SO 15 is the answer

Answer:

US is parallel to RT, and UR is parallel to ST

ST is perpendicular to US and UR is perpendicular to RT

Basically anywhere that there's lines that make right angles are perpendicular to each other

I hope this helps

Step-by-step explanation:

Answer: 2.4%

Step-by-step explanation:

SI = prt / 100

96 = ( 800 x r x 5) / 100

96 = 40r

r = 96 / 40 = 2.4%

Answer:

30

Step-by-step explanation:

3*10 = 30

Answer:

30

Step-by-step explanation:

PEMDAS says you do (8+2) first, which equals 10, then you multiply 3 by 10, which equals 30.

Answer:

It's about 33 cents per ounce. The exact answer would be 0.3325

Step-by-step explanation:

Answer:

0.33

Step-by-step explanation:     i did it on a piece of paper

Answer:

17. [tex]2^{6}[/tex]

19. 2 * 5

21. 8²

Answer:

(55,9)

Step-by-step explanation:

^

Answer: 1/200 * (5a-2b)(5a+2b)

Step-by-step explanation:

a^2/8 - b^2/50

Factor out 1/200,

1/200 * (25a^2 - 4b^2)

Using a^2 - b^2 = (a-b)(a+b),

1/200 * (5a-2b)(5a+2b)

Answer:

1/2(a/2+b/5)(a/2-b/5)

Step-by-step explanation:

a²/8- b²/50= 1/2(a²/4- b²/25)= 1/2(a/2+b/5)(a/2-b/5)

Answer:

6^10

Step-by-step explanation:

2+11=13

13-3=10

The range is all the possible y values, so the set with all the arrows.

Answer: B. {3,9,12}

Answer:

B

Step-by-step explanation:

The range means the y coordinates or output

In this the output are the numbers on the right.

We can also find the answer by eliminating.

Option A could not be the answer because it is only one of the numbers from the range.

Option B is the answer because it includes all the numbers from the range.

Option C and Option D could not be the answer because they include other numbers from the domain (which we are not trying to find).

This is an example here below

Hope this helped!!

Answer:

When we divide the inequality by 3 we get x < -2 so the answer is A.

We have that

The Matrix A  is a singular square matrix and because its determinate is zero. No the Matrix A is inveritible because its determinant is not equal to zero.

Option E is correct

From the question we are Given the matrix:

[tex]A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}[/tex]

Invertible Matrix

In linear algebra, an n-by-n square matrix A is called invertible if there exists an n-by-n square matrix B such that

[tex]AB=BA=I_n[/tex]  

where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.

Invertible Matrix characteristics does not apply to singular square matrix, A square matrix is singular if and only if its determinant is zero

Generally the determinate of Matrix A is given as

[tex]A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}[/tex]

[tex]D=(6*6)-(-4*-9)\\\\D=0[/tex]

In conclusion

The Matrix A is a singular square matrix and because its determinate is zero.

So, No the Matrix A is inveritible because its determinant is not equal to zero.

Option E is correct

For more information on this visit

https://brainly.com/question/18028537

Answer:

acceleration = 9.8 m/s^2

Step-by-step explanation:

The problem expects the user to do the rate of change between any two pairs of (time, velocity) from the table, and see that they all render the same value. Notice as well that the rate of change of a difference in velocities divided a difference in time, will render units of acceleration (in this case [tex]\frac{m}{s^2}[/tex]

Let's use for example (0 s ,0 m/s) and the following point: (1 s, 9.8 m/s)

the rate of change is: [tex]acceleration= \frac{9.8-0}{1-0} \frac{m}{s^2} =9.8 \, \frac{m}{s^2}[/tex]

In fact you can use any two pairs of the table, and will get the same result.

So this is the acceleration is [tex]9.8 \, \frac{m}{s^2}[/tex]

The acceleration due to gravity is 9.8 m/s^2.

Step-by-step explanation:

84 km to miles is 52.195 miles

When you look at the equation it's basically in slope-intercept form

.[tex]f(x)=x-3[/tex]  = [tex]y=x-3[/tex]

which mean that your coordinates would be (0, -3) and (3,0)

Answer:

[tex]\frac{x^2}{16} +xy+4y^2[/tex] can be factored out as: [tex](\frac{x}{4} +2\,y)^2[/tex]

Step-by-step explanation:

Recall the formula for the perfect square of a binomial :

[tex](a+b)^2=a^2+2ab+b^2[/tex]

Now, let's try to identify the values of [tex]a[/tex] and [tex]b[/tex] in the given trinomial.

Notice that the first term and the last term are perfect squares:

[tex]\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2[/tex]

so, we can investigate what the middle term would be considering our [tex]a=\frac{x}{4}[/tex], and [tex]b=2y[/tex]:

[tex]2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y[/tex]

Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:

[tex](\frac{x}{4} +2\,y)^2[/tex]

Answer:

1.8 km

Step-by-step explanation:

The scale on the map is 1 : 15000.

This means that every 1 cm on the map is equal to 15000 cm on the ground.

12 cm on the map will therefore be:

12 * 15000 = 180000 cm

Let us convert to kilometres:

100000 cm = 1 km

180000 cm = 180000 / 100000 = 1.8 km

12 cm on the map will be 1.8 km on the ground.

Answer:

(D) 3x−4

Step-by-step explanation:

Factor Theorem

Given a polynomial P(x) and a linear function x-a, If P(a)=0, then the linear function x-a is a factor of P(a).

In Option A:

[tex]L$inear Function =2x+3\\Set 2x+3=0$\\x=-\frac{3}{2} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(-\frac{3}{2})=6(-\frac{3}{2})^4+(-\frac{3}{2})^3-45(-\frac{3}{2})^2+26(-\frac{3}{2})+24\\\\p(-\frac{3}{2})=-89.25[/tex]

In Option B

[tex]L$inear Function =3x-2\\Set 3x-2=0$\\x=\frac{2}{3} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{2}{3})=6(\frac{2}{3})^4+(\frac{2}{3})^3-45(\frac{2}{3})^2+26(\frac{2}{3})+24\\\\p(\frac{2}{3})=22.8[/tex]

In Option C

[tex]L$inear Function =2x-1\\Set 2x-1=0$\\x=\frac{1}{2} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{1}{2} )=6(\frac{1}{2} )^4+(\frac{1}{2} )^3-45(\frac{1}{2} )^2+26(\frac{1}{2} )+24\\\\p(\frac{1}{2} )=26.25[/tex]

In Option D

[tex]L$inear Function =3x-4\\Set 3x-4=0$\\x=\frac{4}{3} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{4}{3} )=6(\frac{4}{3})^4+(\frac{4}{3} )^3-45(\frac{4}{3} )^2+26(\frac{4}{3})+24\\\\p(\frac{4}{3} )=0[/tex]

We can see that only Option D: 3x−4 gives a result of 0. Therefore, by the factor theorem, it is a factor of the polynomial.

Answer:

a) 72

b) 1/72

c) 1/36

Step-by-step explanation:

a) number of ways she can choose route= 3C1 = 3

   number of ways she can choose parking lots= 4C1 = 4

number of ways she can choose entrances= 3C1 = 3  

number of ways she can choose elevators= 2C1 = 2

number of ways she can go to office= number of ways she can choose route×number of ways she can choose parking lots×number of ways she can choose entrances×number of ways she can choose elevators

      number of ways she can go to office= 3×4×3×2

                                                                      = 72

b) Probability of morning side= number of morning side/ total number of routes=  1/3

probabiltiy of Parking lot A=  number of parking lot A/ total number of parking lot= 1/4

probability of south entrance= number of south entrance/ total number of entrances=  1/3

probablity of elevator 1=  number of elevator 1/ total number of elevator= 1/2

combine probability= 1/3× 1/4×1/3×1/2 = 1/72

c) Probability of Industrial Avenue= number of industrial avenue/ total number of avenue= 1/3

Probability of parking lot D= number of parking lot D/ total number of parking lot after deducting number of parking lots A and B = 1/2

Probability of north entrance= number of north entrance/ total number of entrance= 1/3

probablity of elevator 2= number of elevator 2/ total number of elevator

                                      = 1/2

combine probability= 1/3 × 1/2 × 1/3 ×1/2

                                  = 1/36

Answer:

y= 71   Reason: alternate angle to 71 degrees

z = 44

Step-by-step explanation:

You already solve for x.

y = 71 because it is alternate to 71 degrees you see up there.

For z:

all angles inside a triangle sum upto 180

z=180-(71+65) = 44

Answer:

5,5,5

Step-by-step explanation:

an equilateral triangle