Rewrite the exponential equation 10^0.845 = 7 in equivalent logarithmic form. There may be more than one correct answer. 0.845 = log(7) 10 = log(7) 7 = log(0.845) None of the above

Answer:

(5/8)/(1/2)=10/8=5/4

For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.

f(x) = 7/8x² - 14

Substitute f(x) with 0 -

0 = 7/8x² - 14

Add 14 to both sides -

7/8x² = 14

Multiply both sides by 8/7 -

x² = 16

Take the square root of both sides -

x = ±4

Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.

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Answer:

It should be 1/3d+4=28, but i dont see that option

Step-by-step explanation:

All the other ones are wrong. Its plus 4 because it states that its 4 years greater not lesser. Greater in the context means that its addition of 4.

idk if theres a typo or something but yeah.

Answer:

The square root of 50 is approximately 7.07.

Answer:

7.07106781187...

Step-by-step explanation:

its an irrational number

Answer:  \(\boldsymbol{10.15s+21.95 \le 65}\)

=======================================================

Explanation:

s = number of shirts, which is some positive whole number

Each shirt costs $10.15, so buying s of them means Robbie spends 10.15s dollars on the shirts alone. Then add on the cost of the shoes $21.95 to get the total amount he spends to be 10.15s+21.95 dollars.

This total cost must be less than or equal to 65 so he sticks to his budget. In other words, the highest the total cost can go is 65 dollars.

Therefore, we would write \(\boldsymbol{10.15s+21.95 \le 65}\) as the inequality to solve.

Answer:

hello im late but here you go

Step-by-step explanation:

Answer:

Hi how are you doing Jasmine

Answer:

9. m<2 & m<6

10. m<3 & m<7

11. m<6 = 47°

12. m<3 = 133°

Step-by-step explanation:

9 - 10.

Both pairs follow the Same Side Interior Angles Theorem—the If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.

11.

if m<6 = m<2

then m<2 = 47°

Both pairs follow the Same Side Exterior Angles Theorem—The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

12.

Base (3-Lines) 180°

if m<6 = 47°

180° - 47° = 133°

m<3 = 133°

Answer:

The answer is \(15.00\) %

Step-by-step explanation:

Let's start defining the random variable. We have the following variable :

\(X:\) '' The amount spent per year on reading and entertainment among adults in the 25- to 34- year age group ''

We assume that \(X\) follows the normal distribution. We can write :

\(X\) ~ N ( μ , σ )

Where μ is the mean of the distribution and σ is the standard deviation (both are parameters from the normal distribution). Using the data from the question :

\(X\) ~ \(N(2060;495)\)

In order to answer the question, we first must calculate the probability :

\(P(X>2575)\) (I)

We are going to calculate this probability by making a substitution. If we substract the mean to the variable \(X\) and then divide by the standard deviation, we obtain a new variable \(Z\) which can be modeled as a \(N(0;1)\). This is convenient because the cumulative distribution from \(Z\) is tabulated and can be found on any book or either in Internet.This process is called standardizing the variable :

[ (\(X\)-μ) / σ ] = \(Z\) ~ \(N(0;1)\) ⇒ If we apply this to the equation (I) ⇒

\(P(X>2575)=P(Z>\frac{2575-2060}{495})=P(Z>1.04)\)

Then,

\(P(Z>1.04)=1-P(Z\leq 1.04)\) (II)

Looking in any cumulative distribution table of \(Z\) ⇒ \(P(Z\leq 1.04)=0.85\)

If we replace this value in (II) ⇒

\(P(Z>1.04)=1-P(Z\leq 1.04)=1-0.85=0.15\)

Using percent we obtain \(15.00\) %

From the given information, we know that the slope of the line must be 80 and the y-intercept 2200. Since N and S represent the number of copies and the total salary, the equation is:

and the graph is given by

where we have located 2 point: (0,2200) and (5,2600). We can obtain these points by substituting N=0 and N=5 into the above model.

Answer:

Pretty sure it is SAS as the angles are congruent

Step-by-step explanation:

Answer:

number 4

Step-by-step explanation:

both triangles use the aa as a point

Answer:

x = 14

Step-by-step explanation:

Let's solve for the value of x,

→ x + 8 = 22

→ x = 22 - 8

→ [ x = 14 ]

Hence, the number is 14.

Answer:

the number can be represented by x.

so x=7.

Step-by-step explanation:

Answer:

(4,0)

Step-by-step explanation:

So we have the system of equations:

\(y=-2x+8\\y=x-4\)

To solve, we can use substitution.

Substitute the second equation into the first. So:

\(x-4=-2x+8\)

Add 2x to both sides. The right cancels:

\(3x-4=8\)

Add 4 to both sides:

\(3x=12\)

Divide both sides by 3:

\(x=4\)

Now, let's substitute this back into the second equation to find y:

\(y=x-4\)

Substitute 4 for x:

\(y=4-4\)

Subtract:

\(y=0\)

So, our solution is (4,0).

And we're done!

Answer:

73

Step-by-step explanation:

you have to divide the year period number (365) by 5.

365÷5=73

The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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Answer:

Kindly check explanation

Step-by-step explanation:

________A___ B___ C___ Total

Male____ 9___13___ 6____ 28

Female_ 20__ 19___ 2____ 41

Total___ 29__ 32___ 8____ 69

If one student is chosen at random,

Find the probability that the student got a C:

P(getting C) = (number of C's) / total number

P(getting C) = 8 / 69

Find the probability that the student was female AND got a "C":

P(female and C):

(number of female who got C / total number)

= 2 / 69

Find the probability that the student was male OR got an "B":

P(male OR B) :

(Number of males or B) = (28 + 32) - 13 = 47

= 47 / 90

find the probability that the student got a 'C' GIVEN they are female:______.

P(C given they are female) :

This is the proportion of females who got C

Total Number of females = 41

Females who got C = 2

Hence,

P(C given they are female) = 2 / 41

Answer: B not sure tho

Step-by-step explanation:

Answer:

C. a translation and a dilation

Step-by-step explanation:

Answer:

30in²

Step-by-step explanation:

A=1/2(4)(5+10)

A=2x15

A=30in²

Answer:

-7x+3

Step-by-step explanation:

Answer:

Step-by-step explanation:10x+15+2+x

11x+17

Step-by-step explanation:

brainliest please

Answer:

5, 6

Step-by-step explanation:

Answer:

Los números son:

6 y 5

Step-by-step explanation:

Planteamiento:

a * b = 30

a + b = 11

Desarrollo:

De la segunda ecuación del planteamiento:

a = 11-b    

Sustituyendo esta última ecuación en la primer ecuación del planteamiento:

(11-b)*b = 30

11*b + b*-b = 30

11b - b² - 30 = 0

-b² + 11b - 30 = 0

b = {-11±√((11²)-(4*-1*-30))} / (2*-1)

b = {-11±√(121-120)} /-2

b = {-11±√1} / -2

b = {-11±1} / -2

b₁ = {-11-1} / -2 = -12/-2 = 6

b₂ = {-11+1} / -2 = -10/-2 = 5

Comprobación:

6*5 = 30

6+5 = 11

The solution to the equation x + 3 = 7 is x = 4.

So, yes, we have to subtract 3 from both sides of the equation to get the solution of the equation.

To solve this, we subtract 3 from both sides of the equation:

x + 3 - 3 = 7 - 3

This simplifies to:

x = 4

So the solution to the equation x + 3 = 7 is x = 4.

So, yes, we have to subtract 3 from both sides of the equation to get the solution of the equation.

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Given the equation x + 3 = 7, subtract 3 from both sides to solve for x

On solving the given question, we got Area of the base prism = bh/2 = (4.819 X 51)/2 = 122.89 cm2

A prism is a polyhedron in geometry that has an n-sided polygonal basis, a second base that is a shifted version of the first base, and n additional faces—necessarily all parallelograms. Connect the matching sides of the two bases.

h = 51 cm

a = 2cm

therefore,

volume of a Triangular Prism = (½) abh cubic cm

245.8 = \(\frac{1}{2}\) X 2 X b X 51

\(= > b = \frac{245.8 X 2}{2 X 51}\)

\(= > b = \frac{491.6}{102}\)

\(= > b = 4.819\)

Now Area of base of prism

Area of the base prism = bh/2 = (4.819 X 51)/2 = 122.89 cm2

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Considering the definition of permutation, in 5040 ways can the letters in the word ''PAYMENT'' be arranged if the letters are taken 6 at a time.

Permutation is placing elements in different positions. So, permutations of m elements in n positions are called the different ways in which the m elements can be arranged occupying only the n positions.

That is, permutations refer to the action of arranging all the members of a set in some sort of order or sequence.

In other words, permutations (or Permutations without repetition) are ways of grouping elements of a set in which:

To obtain the total of ways in which m elements can be placed in n positions, the following expression is used:

\(mPn=\frac{m!}{(m-n)!}\)

where "!" indicates the factorial of a positive integer, which is defined as the product of all natural numbers before or equal to it.

In this case, you have:

Then, you know that:

Replacing in the definition of permutation:

\(7P6=\frac{7!}{(7-6)!}\)

Solving:

\(7P6=\frac{7!}{1!}\)

7P6= 5040

Finally, in 5040 ways can the letters in the word ''PAYMENT'' be arranged if the letters are taken 6 at a time.

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In the given diagram the measure of AB is 30 and the measure of AC is 22.5

From the question, we are to determine the measures of AB and AC

From similar triangle theorem,

Triangle ABC is similar to Triangle DEC

Thus,

We can write that

AB/BC = DE/EC

AB/15 = 16/8

AB = (15 × 16)/8

AB = (240/8

AB = 30

Thus, the measure of AB is 30

Also,

AC/BC = DC/EC

AC/15 = 12/8

AC = (15 × 12)/8

AC = 180/8

AC = 22.5

Hence, the measure of AC is 22.5

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Answer:

Step-by-step explanation:

Root of forty rational root of forty times negative one irrational, root of forty times negative one rational, root of forty plus negative one irrational.

I believe this is right because rational should be positive and ir should be negative.......

Answer:

71,576,960

Step-by-step explanation:

I hope that helps

Answer:71,576,960

Step-by-step explanation:

The second pair of points representing the solution set of the system of equations is (-6, 29).

To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.

Given the system of equations:

y = x^2 - 2x - 19

y + 4x = 5

Substituting the x-coordinate of the second point (-6) into equation 2:

y + 4(-6) = 5

y - 24 = 5

y = 5 + 24

y = 29

Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).

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Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

y = x2 − 2x − 19

y + 4x = 5

The pair of points representing the solution set of this system of equations is (-6, 29) and

_________.

Answer:

1/6

Step-by-step explanation

right 6, up 1

Answer:

1/6

Step-by-step explanation:

slope

The steepness of a line expressed as a ratio, using any two points on the line.

so yeah.. just graph it out :P