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3 years ago

Can someone help me with this I don't understand and please explain the answer

Mathematics

1 answer:

lukranit [14]3 years ago

5 0

(2^6)=1
take log on both sides,
xlog(2^6)=log(1)=0
=>
x=0, since log(2^6)>0

5^0=1
there is no value of x appearing in the equation, so x can be any valid number.

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Find the radius of a circle if a 48-meter chord is 7 meters from the center. *

Airida [17]

Answer:

The radius of the circle is 25m

Step-by-step explanation:

Here, we are to calculate the radius of the circle.

The distance from the circle center, the half the length of the chord and the radius forms a right triangle with the radius being the hypotenuse.

We can then use Pythagoras’s theorem to approximate the value of the radius

Mathematically, the Pythagorean theorem establishes that the square of the hypotenuse = the sum of the squares of the other two sides

r^2 = 7^2 + 24^2

r^2 = 49 + 576

r^2 = 625

r = √(625)

r = 25m

5 0

3 years ago

A) If a:b = 2:5 and b:c = 3:4, find (i) a:c(ii) a:b:c

kobusy [5.1K]

Answer:

A i. a:c=3:10

ii. a:b:c=2:5:10

B i. x:z=2:5

ii. x:y:z=2:4:5

Step-by-step explanation:

A.) If a:b = 2:5 and b:c = 3:4, find (i) a:c(ii) a:b:c

a:b=a/b=2/5

b:c=b/c=3/4

a/b*b/c=a/c

2/5*3/4=a/c

6/20=a/c

3/10=a/c

Therefore, a:c=3:10

a:b:c

a:b=2:5

b:c=3:4

b is common to both ratios

The value of b in the first ratio is 5 and b is 3 in the second ratio

Lets take the LCM of both values

LCM of 5 and 3=15

So, we will change the value of b in the first ratio and second ratio to 15

By doing this, we will multiply the whole first ratio by 3

We have, 6:15

We multiply the whole second ratio by 5

We have, 15:20

Therefore a:b:c=6:15:20

=2:5:10

B. If x:y = 1:2 and y:z = 4:5,

x:y=x/y=1:2

y:z=y/z=4:5

x/y*y/z=x/z

1/2*4/5=x/z

4/10=x/z

2/5=x/z

Therefore, x:z=2:5

x:y:z

x:y=1:2

y:z=4:5

y is common to both ratio

Take the LCM of y values in both ratio

LCM of 2 and 4 =4

So,we will change the value of y in the first and second ratio to 4

By doing this, we will multiply the whole first ratio by 2

We have, 2:4

We will also multiply the whole second ratio by 1

We have, 4:5

Therefore, x:y:z=2:4:5

8 0

3 years ago

Different sizes of ribbon need to be cut to go around various shapes for a craft project.

Dima020 [189]

You have five numbers $\sqrt{6},\ 2\dfrac{1}{2},\ -\sqrt{1},\ \dfrac{7}{2}, \ 3.\overline{3}.$

Among them there is one negative number $-\sqrt{1},$ this number is smallest.

Note that

$(\sqrt{6} )^2=6 \text{ and } \left(2\dfrac{1}{2}\right)^2=(2.5)^2=6.25.$

Since 6.25>6, then

$2\dfrac{1}{2}>\sqrt{6}$

and these numbers are less than 3

Note that

$\dfrac{7}{2}=3.5 \text{ and } 3.\overline{3}=3.333333....,$

then $3.3333333...$ and these numbers are greater than 3.

Therefore, the correct order from the smallest to the greatest is:

$-\sqrt{1}, \quad \sqrt{6},\quad 2\dfrac{1}{2},\quad 3.\overline{3}, \quad \dfrac{7}{2}.$

3 0

3 years ago

A data analytics firm hired by a Republican candidate running for political office wants to test whether its practices were succ

Vilka [71]

Answer:

The practices were successful in increasing voter turnout among registered Republicans.

Step-by-step explanation:

The missing data is attached below.

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired t-test is used to determine whether the practices were successful in increasing voter turnout among registered Republicans.

The hypothesis for the test can be defined as follows:

H₀: The practices were not successful in increasing voter turnout among registered Republicans, i.e. d ≤ 0.

Hₐ: The practices were successful in increasing voter turnout among registered Republicans, i.e. d > 0.

Use Excel to perform the paired t-test.

Go to Data → Data Analysis → t-Test: Paired Two Sample for Means

A dialog box will open.

Select the variables.

Set the Hypothesized mean difference as 0.

Press OK.

The output is attached below.

The test statistic value is, t = 5.409.

The degrees of freedom is, df = 9.

The p-value for he one-tailed test is, p-value = 0.00021.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

The p-value of the test is very small for all the commonly used significance level. The null hypothesis will be rejected.

Thus, concluding that the practices were successful in increasing voter turnout among registered Republicans.

6 0

4 years ago

I need help mane :( who got me with this one ?

notsponge [240]

Answer:

The correct answer would be B, segment ML is congruent to segment OP.

Step-by-step explanation:

I hope this helps you:)

7 0

3 years ago