What is the smallest prime number that is also a multiple of 29?

Answer:

(7, - 5 )

Step-by-step explanation:

A is positioned at (7, - 5 )

Given:

[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]

To verify:

[tex]a(b-c)=ab-ac[/tex] for the given values.

Solution:

We have,

[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]

We need to verify [tex]a(b-c)=ab-ac[/tex].

Taking left hand side, we get

[tex]a(b-c)=1.6\left(\dfrac{1}{-2}-\dfrac{-5}{-7}\right)[/tex]

[tex]a(b-c)=1.6\left(-\dfrac{1}{2}-\dfrac{5}{7}\right)[/tex]

Taking LCM, we get

[tex]a(b-c)=1.6\left(\dfrac{-7-10}{14}\right)[/tex]

[tex]a(b-c)=\dfrac{16}{10}\left(\dfrac{-17}{14}\right)[/tex]

[tex]a(b-c)=\dfrac{8}{5}\left(\dfrac{-17}{14}\right)[/tex]

[tex]a(b-c)=-\dfrac{68}{35}\right)[/tex]

Taking right hand side, we get

[tex]ab-ac=1.6\times \dfrac{1}{-2}-1.6\times \dfrac{-5}{-7}[/tex]

[tex]ab-ac=-\dfrac{16}{20}-\dfrac{8}{7}[/tex]

[tex]ab-ac=-\dfrac{4}{5}-\dfrac{8}{7}[/tex]

Taking LCM, we get

[tex]ab-ac=\dfrac{-28-40}{35}[/tex]

[tex]ab-ac=\dfrac{-68}{35}[/tex]

Now,

[tex]LHS=RHS[/tex]

Hence proved.

Given:

The amount of money in Joel’s account is:

[tex]j(x)=25+3x[/tex]

The amount of money in Kevin’s account is:

[tex]k(x)=15+2x[/tex]

To find:

The function that correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year.

Solution:

We need to find the difference between the function j(x) and function k(x).

[tex]j(x)-k(x)=(25+3x)-(15+2x)[/tex]

[tex](j-k)(x)=25+3x-15-2x[/tex]

[tex](j-k)(x)=(25-15)+(3x-2x)[/tex]

[tex](j-k)(x)=10+x[/tex]

Therefore, the correct option is D.

Answer:

It always pass through the origin.(0,0)

Answer:

[tex]x \geqslant 1[/tex]

Step-by-step explanation:

[tex] \sqrt{x + 6 - 7} = \sqrt{x - 1} \\ \\ x - 1 \geqslant 0 \\ x \geqslant 1[/tex]

Answer:

? =30

Step-by-step explanation:

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

sin theta = opp / hyp

sin ? = 25/50

Taking the inverse sin of each side

sin ^-1( sin ?) = sin^-1 ( 1/2)

? =30

Answer:

Step-by-step explanation:

n(M ∪ T) = n(M) + n(T) - n(M∩T)

               = 150 + 144 - 33

               = 294 - 33

               = 261

El ejercicio completo es el siguiente:

Mercedes tiene una habilidad increíble al encontrar el número que falta; ella solo suma y ya tiene la respuesta correcta.

¿Cuál es el valor de x?

32 10 41

22 10 33

53 16 62

25 (x) 25

A) 10

B) 11

C) 12

D) 13

E) 14

Answer:

La  respuesta correcta es E: 14

Step-by-step explanation:

El ejercicio nos da una pista importante: solo sumar, así que al  mirar la ubicación de la variable x podemos deducir que los valores del centro son el resultado de una suma, ahora para saber si es cierto ,debemos hacer la prueba,entonces empezamos a sumar los dígitos por separado  de los valores dados ;

32 10  41 = 3+2+4+1 esto es igual a 10 el valor del centro

22 10  33= 2+2+3+3 esto es igual a 10 el valor del centro

53 16 62 = 5+3+6+2 esto es igual a 16 el valor del centro

Por lo tanto para hallar el valor de x debemos hacer lo mismo:

25   x   25 = 2+5+2+5 esto es igual 14

Entonces nos queda : 25 14 25= 2+5+2+5 igual a 14

Answer:

8 Minutes

Step-by-step explanation:

since we are trying to find how many minutes have passed we first need to find how much substance was used during the time. we can do that by subtracting the leftover substance from the amount we started with.

666-562 = 104

Now that we know how much substance was used we can then use our conversion rate (13 per minute) and find how many minutes have passed by dividing.

104 / 13 = 8

Answer:

[tex]18-\sqrt{-25}[/tex]

[tex]\sqrt{-25} =5i[/tex]

[tex]=18-5i[/tex]

OAmalOHopeO

Answer:

since b is 348421 and we are looking for b21 it is 348421(12)

first send the fox alone to the other side then send the corn, the fox wont eat the corn so that should be fine then lastly go with the farmer and the chicken, hope this helps!

Answer:

See below.

Step-by-step explanation:

1/(x + 1) consists of 1 factor, 1/(x + 1)

1/[a(x + 1)] consists of two factors, 1/a and 1/(x + 1)

The LCM is 1/[a(x + 1)]

The LCD is a(x + 1)

Answer:

From the graph, when x=-6, y=1

so, your answer is A) f(x)=∛(x-6)+1

OAmalOHopeO

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]4\frac{1}{2}[/tex] ÷ [tex]1\frac{1}{4} =[/tex] [tex]\frac{9}{2}[/tex] ÷ [tex]\frac{5}{4}[/tex]

In fraction division, Use KCF method

K - Keep the first fraction

C - Change the ÷ operation to  * operation

F - Flip the second fraction

  [tex]= \frac{9}{2}*\frac{4}{5}\\\\= \frac{9}{1}*\frac{2}{5}\\\\=\frac{18}{5}\\\\= 3\frac{3}{5}[/tex]

Without using a truth table:

(p ⇒ q) ∨ q   ⇔   (¬p ∨ q) ∨ q   ⇔   ¬p ∨ q   ⇔   p ⇒ q

With a table:

p   …   q   …   p ⇒ q   …   (p ⇒ q) ∨ q

T   …   T   …       T       …          T

T   …   F   …       F       …          F

F   …   T   …       T       …          T

F   …   F   …       T       …          T

Answer:

x = 30

Step-by-step explanation:

x + 2x + 3x = 180

             6x = 180

              6       6

               x =  30

Answer:

Only A is true

for sure

....................

Answer: -13

Step-by-step explanation:

[tex]\frac{M(3)+M(2)}{2} =\frac{[-2(3)^{2}] +[-2(2)^{2}]}{2}=\frac{(-2)(9)+(-2)(4)}{2}=\frac{-18-8}{2}=\frac{-26}{2}=-13[/tex]

Answer:

FS = 48

Step-by-step explanation:

The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, so

FB = 2 BS = 2 × 16 = 32

Then

FS = FB + BS = 32 + 16 = 48

Answer:

Your answer would be 32/49.

Step-by-step explanation:

4/7 tons = 7/8 x

4/7 / 7/8

32/49

The tons of concrete are required to cover the entire bridge is 32/49 tons.

A fraction is a non-integer that is made up of a numerator and a denominator. An example of a fraction is 4/7.

To determine this value, divide 4/7 by 7/8

4/7 ÷ 7/8

4/7 x 8/7 = 32/49 tons

To learn more about the division of fractions, please check: https://brainly.com/question/25779356

Step-by-step explanation:

w

Step-by-step explanation:

some of your answer options were not copied well in here.

so, I tell you the right information and how would sure it, and you need to pick the right option on your end :

the inequality is

5x + 3 <= 28

and based on that

5x <= 25

x <= 5

he can spend $5 or less on each sandwich.

Answer:

[tex]\text{B. }p(x)=x(x-2)(2x-7)[/tex]

Step-by-step explanation:

The zeroes of a function occur when the function crosses the x-axis. The function shown crossed the x-axis at [tex]x=0[/tex], [tex]x=2[/tex], and [tex]x=3.5[/tex]. These values of [tex]x[/tex] should produce an output of 0 when plugged into the function.

Therefore, the equation of the function graphed is [tex]\boxed{\text{B. }p(x)=x(x-2)(2x-7)}[/tex]

Answer:

E. None of these

Step-by-step explanation:

Using the angle 43, we see that we will use Cos to find x.

This is because the sides are the adjacent and the hypotenuse

Cos (43) = 14/x

Multiply both sides by x

X (cos (43)) = 14

Then divide both sides by (cos(43))

x = 14 / cos(43)

Plug it into the calculator you get:

x = 25.22

Since this is not an answer choice, the answer is E. None of these

Answer:

hello,

Step-by-step explanation:

a=12*x³yz⁵=4*3*x³yz⁵

b=16*x⁴y³z²=4*4*x⁴*y³*z²

hcf(a,b)=4*x³*y*z²=4x³yz²

(a) Dilation is the process of extending the line segment AB to the longer one A'B'. The scale factor has to be larger than 1, and also it has to be positive.

(b) To get the dilation factor, you should first compute the length of AB, then compare it to the length of A'B'.

A is the point (-4, 2), and B is the point (2, -4). So the length of AB is

√((-4 - 2)² + (2 - (-4))²) = √((-6)² + 6²) = √72

A' is the point (-8, 4) and B' is (4, -8). The coordinates of A' and B' are twice the coordinates of A and B, so the distance is

√((2(-4) - 2(2))² + (2(2) - 2(-4))²) = √(2²×72) = 2√72

Then the dilation factor is

(2√72) / √72 = 2

As for dying, don't worry about it. It happens to everyone.

Answer:

[tex] - 12xy {}^{2} [/tex]

Step-by-step explanation:

A coefficient is a rational number in front of multiple consecutive terms.