factor the expression 1.5x+6

Answer:

8 years

Step-by-step explanation:

The formula for the computation of simple interest is ...

... I = Prt

where I is the interest amount, P is the principal amount, r is the rate, and t is the number of years.

Fill in the given numbers and solve for t.

... 5704 = 15500×0.046×t

... 5704/713 = t = 8 . . . . . . divide by the coefficient of t

It takes 8 years to earn $5704 on that investment at 4.6% per year.

- 57 - 12i

distribute the parenthesis

= 81i² - 36i + 24 + 24i

[ note that i² = (√- 1 )² = - 1 ]

= - 81 - 36i + 24 + 24i ( collect like terms )

= - 57 - 12i

Answer:

D^^

Step-by-step explanation:

Edge

The volume of a cuboid is given in terms of length, width, and height by ...

... V = LWH

Filling in the given numbers, we can solve for the height.

... 8100 in³ = (30 in)(15 in)H

Dividing by the coefficient of H, we have ...

... (8100 in³)/(450 in²) = H = 18 in

The chest will be 18 inches tall.

Try this solution:

1. m∠A=m∠L; m∠B=m∠M and m∠C=m∠N;

2. m∠B=m∠M=35° and m∠C=m∠N=95°;

3. m∠A=m∠L=180°-(m∠B+m∠C)=180-35-95=50°

answer: 50°

The slope is 8/5 because you are increasing 8 units in the y axis and 5 units in the x direction. So the equation here would be d = 8/5t which means for every increase in t by 1, d will increase by 8/5.

y = - [tex]\frac{1}{2}[/tex] x - 34

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 68, 0 ) and (x₂, y₂ ) = (0, - 34 )

m = [tex]\frac{-34-0}{0+68}[/tex] = [tex]\frac{-34}{68}[/tex] = - [tex]\frac{1}{2}[/tex]

the y-intercept = (0, - 34 ) ⇒ c = - 34

y= - [tex]\frac{1}{2}[/tex] x - 34

Answer:

Y=-.5x-34

Step-by-step explanation:

this is because you can do y2-y1/x2-x1 to get slope

-34/68

Which equals one half so currently

Y=-1/2x

To get the y intercept we can look at the number when x=0 so it would be -34. So here is the equation

Y=-.5x-34

Answer:

[tex]m\angle c = 30^\circ[/tex]            

Step-by-step explanation:

We are given the following information in the question:

ΔABC and ΔDEF

[tex]\angle A \cong \angle D\\\angle B \cong \angle E\\m\angle c = x \\m\angle F = 2x-30[/tex]

According to angle sum property of the triangle the sum of all angles of triangle is equal to 180 degrees.

Since two corresponding angles of the two triangle are equal, therefore the third angle is also equal.

[tex]x = 2x - 30\\\Rightarrow x = 30[/tex]

Thus,

[tex]m\angle c = 30^\circ[/tex]

The measure of the angle from the given information is m∠C = 2x - 30°

Given the information, we have two separate triangles: ABC and DEF.

In triangle ABC, we are given that ∠A ≅ ∠D and ∠B ≅ ∠E.

In triangle DEF, we are given that m∠C = x and m∠F = 2x - 30°.

To find m∠C, we need to find the value of x.

Since ∠A ≅ ∠D, and ∠B ≅ ∠E, we can conclude that triangle ABC is congruent to triangle DEF by the Angle-Angle (AA) congruence criterion.

Using this congruence, we can determine that m∠C = m∠F.

Therefore, we have:

m∠C = m∠F

Since we know that m∠F = 2x - 30°, we can substitute this value into the equation:

m∠C = 2x - 30°

This gives us the measure of angle C in terms of x.

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(1)

both equations express y in term of x, hence equate the right sides

- 8x = 3x ( subtract 3x from both sides )

- 11x = 0 ( divide both sides by - 11 )

x = 0

substitute x = 0 into y = 3x → y = 0

solution is : (x, y ) → (0, 0)

(2)

both equations express y in terms of x, hence equate the right sides

- 4x - 12 = - 7x ( add 7x to both sides )

3x - 12 = 0 ( add 12 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

substitute x = 4 into y = - 7x → y = - 28

solution is : (x, y ) = (4, - 28 )

B a counterclockwise rotation about the origin of 90°

under a counterclockwise rotation about the origin

a point ( x , y ) → (- y, x)

figure Q to figure Q'

( 4,2 ) → (- 2, 4 )

(7, 5 ) → (- 5, 7 )

(3, 7 ) → (- 7 , 3 )

(2, 4 ) → (- 4, 2 )

(5, 4 ) → (- 4, 5 )

the coordinates of the original points of the vertices of Q map to the corresponding points on the image Q'

Answer:

The correct answer would be -15

Step-by-step explanation:

Although you have the multiplication symbols here, if we were to use subtraction as your instructions indicate, we would just complete the operations from left to right.

14 - 25 - 4

-11 - 4

-15

Answer:

i think its d

Step-by-step explanation:

Answer:

I think it is C triangle ABD and triangle ADC. I hope that helped.

Divide the total amount she has by how much she needs per batch.

When dividing fractions, flip the second one over and then multiply straight across.

9/10 / 1/4 becomes: 9/10 x 4/1

9/10 x 4/1 = 36/10 = 3 6/10 = 3 3/5

She can make 3 more batches and have 3/5 of a teaspoon left over.

A. all inherited traits of an organism.

Genes are something you inherit from a family and are passed on. Sometimes you might skip your parents and inherit a trait from a another past relative.

Answer:

a. True, b. False, c. True, d. True, e. False,  f. True

Step-by-step explanation:

Partial results of a survey about students who wear glasses are shown in the two-way table.

First we complete the table to understand options easily

               Always     Sometimes     Never     Total

Boys          25                50                52           127

Girls           35                15                 48            98

Total          60                65               100          225

Now we can solve all the options easily.

a.  225 students were surveyed   -         True

b.  25 girls always wear glasses   -          False  (35)

c. 15 girls sometimes wear glasses   -      True

d.  52 boys never wear glasses     -         True

e.  75 boys were surveyed   -                   False  (127)

f. 65 students sometimes wear glasses -True

You found CD from the Pythagorean theorem to be ...

... CD = √(5² -2²) = √21

Since triangle ADC ~ triangle ACB, the ratios of corresponding sides are the same:

... AC/AD = AB/AC

... AB = AC²/AD

... AB = 5²/2 = 12.5 . . . . . . . the base of the overall triangle

_____

Then the area (A) is ...

... A = (1/2)bh

... A = (1/2)(12.5)(√21) ≈ 28.64 square units

_____

As you see here, the altitude of a right triangle divides it into three similar triangles. From smallest to largest, they are ...

... ADC ~ CDB ~ ACB

You can figure this using AAA similarity, since the smallest and largest triangles listed above share an acute angle vertex (∠A). That, together with the right angle, means all angles are congruent. After that, then you know ∠ACD ≅ ∠CBD, so you can show the middle sized triangle is similar to the other two.

:) Here is your answer -7

Answer:

the answer is -7

Step-by-step explanation:

thxs person who answered before me :)

9.36 is 0.001 more than 9.359

Both numbers round to the same value.

9.359 has greater precision.

The answer is 10 degrees since 90 - 80 = 10

the angle = 10°

Complementary angles sum to 90°

the complement of 80° is 90° - 80° = 10°

Answer:

B) f(x) = -3/5x +5

Step-by-step explanation:

There are several ways you can write the equation of a line from a list of points. When you look through the list and see that one of them is the y-intercept, then the problem can be easier. When you look through the list of answers and see that the required answer is in slope-intercept form, then you know all you need to do is find the slope to go with the intercept you've located.

The point (x, f(x)) = (0, 5) tells you the y-intercept is 5.

The slope, the change in y divided by the change in x for two points, is ...

... (-1 -2)/(10 -5) = -3/5

This is the slope and the coefficient of x in the linear equation.

Now, we know the y-intercept (b=5) and the slope (m=-3/5), so we can fill in the slope-intercept form of the equation of a line:

... y = mx + b

... y = (-3/5)x + 5

If she puts 2 slices in 4 sandwiches, the answer would be 8.

(4 x 2)= 8.

Hope this helps & good luck. :)

if she has 4 sandwhiches and 2 slices of chesse on each you can multiply

4*2=8

cos(a-b) = cos(a)cos(b)+sin(a)sin(b)

Answer:

A.

​Yes, the table shows a probability distribution.

Step-by-step explanation:

Given that a sociologist randomly selects single adults for different groups of​ three.  And the random variable x is the number in the group who say that the most fun way to flirt is in person.

Since sample size is only 3, x cannot be more than 3.

So x can take values as 0 1 2 3

Prob distribution is given as

x P(x)

0 0.092

1 0.338

2 0.418

3 0.152

We find that x values are from 0 to 3.  

Each probability is positive but less than 1.

Also total probability = 1

So this is a perfect probability distribution.

A.

​Yes, the table shows a probability distribution.

C

the area (A ) of the trim is the area of the window frame subtract the area of glass

area of window frame = (5x + 3)(x + 6) = 5x² + 33x + 18

A = 5x² + 33x + 18 - (4x² + 26x + 15)

   = 5x^2 + 33x + 18 - 4x² - 26x - 15 = x² +7x + 3 inches²

The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4.

Gradient is the slope

So the slope of the line joining the points A(3,-5) and B(6,k) is 4

Slope of line joining two points = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

A(3,-5) and B(6,k) are (x1,y1)  and (x2,y2)

slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

slope = [tex]\frac{k-(-5)}{6-3}=\frac{k+5)}{3}[/tex]

We know slope =4

 [tex]\frac{k+5)}{3}=4[/tex]

Cross multiply  and solve for k

k + 5 = 12

k = 7

The value of k = 7

Answer:

The correct answers are "After adding the 0 test score, the mean would be affected.", ad "Before the missed test, Eva’s median score was 91".

Step-by-step explanation:

We know that the mean and median scores would not be helpful in determining Eva's abilities since the 0 is not a representation of how much she knows. However, it will affect the average as adding a 0 to the numerator and a 1 to the denominator will lower the average.

Finally, we can tell the median is 91 before added as when we line up the scores in ascending order, the middle number is 91.

82, 90, 91, 96, 100

Answer:

Statements that are true based on the data:

-After adding the 0 test score, the mean would be affected.

-After adding the 0 test score, the median would be the most appropriate measure of center to describe the data.

-Before the missed test, Eva’s median score was 91.

-Before the missed test, Eva’s mean score was 91.8.

Step-by-step explanation:

-After adding the 0 test score, the mean would be the most appropriate measure of center to describe the data: NO, it won't because the data now has an extreme value that shifts the mean value significantly.

-After adding the 0 test score, the mean would be affected: YES, The mean value would be greatly impacted by adding the 0, (mean=76.5 with the 0; 91.8 without the 0),

-After adding the 0 test score, the median would be the most appropriate measure of center to describe the data: YES, because the median won't be affected as much as the mean by the extreme value.

-Before the missed test, Eva’s median score was 96: NO, the median score was 91 at that point.

-Before the missed test, Eva’s median score was 91: YES, the median score was 91, the median is defined as the value where 50% of sorted values are below and 50% are above

-Before the missed test, Eva’s mean score was 91.8: YES, the mean is defined as the sum of all values divided by the total number of values

The formula for calculating the median is:

-odd number of values: [tex]$ x_m = x_\frac{n+1}{2}[/tex]

-even number of values: [tex]$ x_m = \frac{x_\frac{n}{2}+x_\frac{n+2}{2}}{2}[/tex]

MEDIAN BEFORE ADDING THE 0: 82,90,91,96,100

[tex]$ x_m = x_\frac{5+1}{2}[/tex]=3 (third value)

MEDIAN AFTER ADDING THE 0: 0,82,90,91,96,100,

[tex]$ x_m = \frac{x_\frac{6}{2}+x_\frac{6+2}{2}}{2}[/tex]=average between the 3 and 4 values

[tex]$ x_m = \frac{90+91}{2}[/tex]=90.5

The formula for calculating the mean is: [tex]mean ={\frac{1}{n} \sum_{i=1}^n (x_i) $[/tex]

MEAN BEFORE ADDING THE 0

[tex]mean ={\frac{1}{5} \sum_{i=1}^5 (x_i) $[/tex]=[tex]\frac{459}{5}[/tex]=91.8

MEAN AFTER ADDING THE 0

[tex]mean ={\frac{1}{6} \sum_{i=1}^6 (x_i) $[/tex]=[tex]\frac{459}{6}[/tex]=76.5

x Greater-than-or-equal-to 12

A closed circle is used on the graph.

The arrow on the graph points right.

The inequality representation is x ≤ 2.6 and has been graphed.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of before example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given,

The graph of inequality has a closed circle at 2.6, and the ray moves to the left.

The closed circle represents that point x = 2.6 is included.

Suppose the variable is x then x ≤ 2.6 represents the inequality.

Hence "The inequality representation is x ≤ 2.6 and has been graphed".

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the x-intercepts of cosx are

[tex]\frac{\pi }{2}[/tex] and [tex]\frac{3\pi }{2}[/tex] on [0, 2π )

The x-intercepts of the function f(x) = cos(x) on [0, 2π) are π/2 and 3π/2.

The x-intercepts of the function f(x) = cos(x) on the interval [0, 2π) can be found by setting f(x) equal to zero and solving for x.

cos(x) = 0

To find the values of x for which cos(x) equals zero, we need to determine when the cosine function equals zero on the given interval. The cosine function equals zero at every multiple of π/2. Therefore, the x-intercepts of f(x) are π/2 and 3π/2.

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call that number x.

[tex]\frac{1}{2}\frac{x}{3}=10\\\frac{x}{3}=20\\x=60[/tex]

c (16, 7 )

the transformation which maps KLMN to K'L'M'N' is a translation < 10, 3 >

Applying the same translation to STUV

T(6, 4 ) → T'(6 + 10, 4 + 3 ) = T'(16, 7 )