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aleksandr82 [10.1K]
3 years ago
7

X^4=15 is an exponential equation?

Mathematics
1 answer:
miskamm [114]3 years ago
8 0

Answer:

No. It is not an Exponential Equation.

Step-by-step explanation:

Givenx^{4} =15

By the Definition of Exponential Equation which states.

"The equation is said to be an exponential equation when it has a variable occurred in the exponent and which have the same base."

For Example:

All given below are said to be exponential equations.

5^{x} =5^{2} \\7^{x}=49\\

which can be rewritten as

7^{x}=7^{2}

Now in the given equation x^{4}=15 it doesn't have same base neither any means the base can be made same,hence the given equation is not an exponential equation

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Which of the following shows the best communicative property of addition ?
kumpel [21]

Answer:

In the given options, 4+5 = 5+4 shows the best commutative property.

Step-by-step explanation:

One of the properties that can be applied on numbers is commutative property. Commutative property states that the order of the numbers on which any operation is being performed, can be swapped and the answer won't change.

Commutative property can be applied on addition, subtraction and multiplication.

<u>Commutative property of Addition:</u>

Commutative property of addition states that changing the order of adding two numbers does not change the result i.e. a+b = b+a

In the given options, 4+5 = 5+4 shows the best commutative property.

3 0
3 years ago
A kite is flying 300 feet above the person flying it. The angle of depression to the person holding the kite is
Triss [41]

Answer:

the answer i got was 1159.1

Step-by-step explanation:

cos75 = 300/x

0.25881905 = 300/x

multiply everything by x

0.25881905x = 300

Divide everything by 0.25881905

x = 1159.1

is that close to any of your answers?

5 0
3 years ago
Henry wants to double a cake recipe that uses 2 cups and 10 tbsp of flour. How much flour will he need?
Lubov Fominskaja [6]

Answer:

20 tbsp of flour OR 1.25 or 1 \frac{1}{4} cups of flour

Step-by-step explanation:

10 tbsp of flour

*2

____________

20 tbsp of flour OR 1.25 or 1 \frac{1}{4} cups of flour

5 0
3 years ago
Someone claims that the breaking strength of their climbing rope is 2,000 psi, with a standard deviation of 10 psi. We think the
denpristay [2]

Answer:

The sample size must be greater than 37 if we want to reject the null hypothesis.

Step-by-step explanation:

We are given that someone claims that the breaking strength of their climbing rope is 2,000 psi, with a standard deviation of 10 psi.

Also, we are given a level of significance of 5%.

Let \mu = <u><em>mean breaking strength of their climbing rope</em></u>

SO, Null Hypothesis, H_0 : \mu = 2,000 psi       {means that the mean breaking strength of their climbing rope is 2,000 psi}

Alternate Hypothesis, H_A : \mu < 2,000 psi      {means that the mean breaking strength of their climbing rope is lower than 2,000 psi}

Now, the test statistics that we will use here is One-sample z-test statistics as we know about population standard deviation;

                         T.S.  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = ample mean strength = 1,997.2956 psi

            \sigma = population standard devaition = 10 psi

            n = sample size

Now, at the 5% level of significance, the z table gives a critical value of -1.645 for the left-tailed test.

So, to reject our null hypothesis our test statistics must be less than -1.645 as only then we have sufficient evidence to reject our null hypothesis.

SO,  T.S. < -1.645   {then reject null hypothesis}

         \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < -1.645

         \frac{1,997.2956-2,000}{\frac{10}{\sqrt{n} } } < -1.645

         (\frac{1,997.2956-2,000}{10}) \times {\sqrt{n} } } < -1.645

          -0.27044 \times \sqrt{n}< -1.645

               \sqrt{n}> \frac{-1.645}{-0.27044}

                 \sqrt{n}>6.083

                  n > 36.99 ≈ 37.

SO, the sample size must be greater than 37 if we want to reject the null hypothesis.

7 0
3 years ago
The sum of 225 consecutive positive integers only has digits 1 or 0. What is the smallest possible value of the sum?
charle [14.2K]

Answer:

1 +10=11 (since 0 is neither negative or positive the first and second positive integerswith 1 or 0

3 0
1 year ago
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