B C height A Choose 1 answer: A B

Can a triangle be formed with the side lengths of 8 cm, 4 cm, and 12 cm

Paha777 [63]

Yes the two smaller sides have to be equal to or smaller added up then the largest side

6 0

3 years ago

Read 2 more answers

A bag contains 45 marbles, some are red and the rest are blue.

Alja [10]

The red marbles are caused by the geometry and the statistics the amount of red barbels in the bag is 25

7 0

3 years ago

In a race Brian Collins has to cross 10 hurdles. Find the probability that he jumps a hurdle is 2/3. Find p(knocks down all hurd

Natalija [7]

Answer: Option 'a' is correct.

Step-by-step explanation:

Since we have given that

Probability that he jumps a hurdle = $\frac{2}{3}$

Total number of hurdles = 10

Probability that he knocks down = $1-\frac{2}{3}=\frac{1}{3}$

So, Probability (knocks down all hurdles ) is given by

$(\dfrac{1}{3})^{10}\\\\=\dfrac{1}{59049}$

Hence, Option 'a' is correct.

4 0

3 years ago

Read 2 more answers

Growth Models 19515. In 1968, the U.S. minimum wage was $1.60 per hour. In 1976, the minimum wagewas $2.30 per hour. Assume the

VikaD [51]

In general, the exponential growth function is given by the formula below

$f(x)=a(1+r)^x$

Where a and r are constants, and x is the number of time intervals.

In our case, n=0 for 1960; therefore, 1968 is n=8,

$\begin{gathered} f(8)=a(1+r)^8 \\ \text{and} \\ f(8)=1.6 \\ \Rightarrow1.6=a(1+r)^8 \end{gathered}$

And 1976 is n=16

$\begin{gathered} f(16)=a(1+r)^{16} \\ \text{and} \\ f(16)=2.3 \\ \Rightarrow2.3=a(1+r)^{16} \end{gathered}$

Solve the two equations simultaneously, as shown below

$\begin{gathered} \frac{1.6}{(1+r)^8}=a \\ \Rightarrow2.3=\frac{1.6}{(1+r)^8}(1+r)^{16} \\ \Rightarrow2.3=1.6(1+r)^8 \\ \Rightarrow\frac{2.3}{1.6}=(1+r)^8 \\ \Rightarrow(\frac{2.3}{1.6})^{\frac{1}{8}}=(1+r)^{}^{} \\ \Rightarrow r=(\frac{2.3}{1.6})^{\frac{1}{8}}-1 \\ \Rightarrow r=0.0464078 \end{gathered}$

Solving for a,

$\begin{gathered} r=0.0464078 \\ \Rightarrow a=\frac{1.6}{(1+0.0464078)^8}=1.113043\ldots \end{gathered}$

a) Thus, the equation is

$\Rightarrow f(n)=1.113043\ldots(1+0.0464078\ldots)^n$

b) 1960 is n=0; thus,

$f(0)=1.113043\ldots(1+0.0464078\ldots)^0=1.113043\ldots$

The answer to part b) is $1.113043... per hour

c)1996 is n=36

$\begin{gathered} f(36)=1.113043\ldots(1+0.0464078\ldots)^{36} \\ \Rightarrow f(36)=5.6983\ldots \end{gathered}$

The model prediction is above $5.15 by $0.55 approximately. The answer is 'below'

4 0

1 year ago

Points P, Q, and S are collinear. What is mZRQS? R ((x + 1) (3x – 5)° s

kiruha [24]

Answer:

m∠RQS = 47°

Step-by-step explanation:

The collinear points form a "straight angle," one whose measure is 180°. That is the sum of the marked values:

(3x -5) +(x +1) = 180

4x = 184

x = 46

m∠RQS = (x+1)° = (46+1)°

m∠RQS = 47°

8 0

4 years ago