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Elina [12.6K]
2 years ago
5

Adrian says that 4(-9)= 36. Why is Adrian incorrect?

Mathematics
1 answer:
xenn [34]2 years ago
4 0

Answer:

4(-9)= -36

Step-by-step explanation:

Since there's a negative on the 9 it will affect the product. So the answer is supposed to be a - 36.

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6b 4r represents the total cost of the rice and beans Gabriel bought. If he returns 2 bags of beans and 1 bag of rice, the expre
Julli [10]

The total cost of rice and beans bought by Gabriel is 6b + 4r.

The simplified expression of the final cost is 4b + 3r.

<h3>What is simplification?</h3>

Simplification can be defined as a process of replacing a mathematical expression by the cancellation of common factors, regrouping of terms in the same variable to get the more simple form of the given expression.

Given that

6b + 4r represents the total cost of the rice and beans Gabriel bought.

He returns 2 bags of beans and 1 bag of rice.

This can be written as,

\rm 2b+1r

Then, the total number of bags of rice and beans is given as,

\rm (6b+4r)- (\rm 2b+1r)

When we simplify the above equation, we get,

\rm (6b+4r)- (\rm 2b+1r)\\\\6b+4r-2b-1r\\\\4r+3r

Hence we can conclude that the expression for rice and beans after the return is (4b+3r).

To know more about simplification, follow the link given below.

brainly.com/question/12616840.

8 0
2 years ago
An F5 tornado is classified as having mean wind speeds greater than 261 mph. In an effort to classify a recent tornado, 20 wind
Anna35 [415]

Answer:

Type 2 error

Step-by-step explanation:

H0 : μ = 261

H0 : μ > 261

By failing to reject H0 ; when the it is false. This means accepting null hypothesis when it is actually FALSE. Then a type 2 error has been committed.

This is different from a type 1 error whereby the null hypothesis is rejected when it is actually TRUE.

Hence, by finding no evidence to reject the null hypothesis during statistical testing when the actual windspeed of an F5 tornado during statistical testing is actually greater than 261 mph.

6 0
2 years ago
Solve the equation -3k+6=15
Assoli18 [71]

Answer:

K= -3

Step-by-step explanation:

-3k+6=15

     -6   -6

-3k=9

/-3  /-3

k=-3

subtract 6 from both sides.

divide each side by -3 to get K alone

-3 is your answer.

8 0
2 years ago
Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y
koban [17]

\dfrac{\mathrm dy}{\mathrm dt}=-4x\implies x=-\dfrac14\dfrac{\mathrm dy}{\mathrm dt}\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}

Substituting this into the other ODE gives

-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0

Since x(t)=-\dfrac14y'(t), it follows that x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16. The ODE in y has characteristic equation

r^2-16=0

with roots r=\pm4, admitting the characteristic solution

y_c=C_1e^{4t}+C_2e^{-4t}

From the initial conditions we get

y(0)=5\implies 5=C_1+C_2

y'(0)=16\implies-16=4C_1-4C_2

\implies C_1=\dfrac12,C_2=\dfrac92

So we have

\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}

Take the derivative and multiply it by -1/4 to get the solution for x(t):

-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}

7 0
3 years ago
Anyone know? <br> A. 99 <br> B. 100 <br> C. 121<br> D. Cannot be determined
Verizon [17]

Since, it is given that the pentagon ABCDE is congruent to pentagon FGHIJ.

By being congruent, the corresponding angles and sides are equal.

Therefore, \angle A = \angle F, \angle B = \angle G, \angle C = \angle H, \angle D= \angle I, \angle E = \angle J.

By using \angle A = \angle F

So, 100^\circ = \angle 1

Therefore, the measure of angle 1 is 100 degrees.

So, Option B is the correct answer.

6 0
3 years ago
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