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2 years ago

Evaluate 4a + 7b + 3a – 2b for a = 4 and b = 3. 48 43 57 41

Mathematics

2 answers:

Natali [406]2 years ago

7 0

4(4) + 7(3) + 3(4) - 2(3)
(16 + 21) + (12 - 6)
37 + 6
43
Your answer is B. 43

Reil [10]2 years ago

7 0

Your answer is b hope that helps

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Write the equation of the line in fully simplified slope-intercept form.

PtichkaEL [24]

Answer:

Consider points (0, -5) and (-6, -1)

» General equation of a line:

${ \tt{y = mx + c}}$

m is slope
c is y-intercept

 Slope (m):

${ \tt{m = \frac{ - 1 - ( - 5)}{ - 6 - 0} }} \\ \\ { \tt{m = \frac{4}{ - 6} }} \\ \\ { \tt{m = - \frac{2}{3} }}$

 y-intercept (c):

${ \tt{y = mx + c}}$

consider point (0, -5)

${ \tt{ - 5 = c}} \\ { \tt{c = - 5}}$

Equation:

${ \boxed{ \tt{y = - \frac{2}{3} x - 5}}}$

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1 year ago

The data shows the speed, in miles per hour, of motorists on a stretch of road.

melomori [17]

Answer:

i. 18 miles per hour is an outlier

ii. the outlier decreases the mean speed

Step-by-step explanation:

An outlier in a given data is one of the values that is far greater or lesser compared to others. It affect the mean and standard deviation of a given data significantly.

From the given data, 18 is far too small compared to other values. This is certainly an outlier. This would affect the mean speed by decreasing the value.

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2 years ago

A prism has height x +1 and base area x^4-x^3+3x^2-3x+3. The function that represents the prism's volume is?

tia_tia [17]

Answer: even

Step-by-step explanation:

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2 years ago

A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte

AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

$\angle SPR$ =Angle subtended by the statue to where you are standing.

$\angle x=\angle RPQ$ = which is unknown.

Let us begin solving now. The first step is to find the angle $\angle x$ which can be found by using the following trigonometric ratio in $\Delta PQR$ :

$tan(x)=\frac{RQ}{PQ} =\frac{21}{57}$

Which gives $\angle x$ to be:

$\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}$

Now, we know that $\angle x$ and $\angle SPR$ can be added to give us the complete angle $\angle SPQ$ in the right triangle $\Delta SPQ$ .

We can again use the tan trigonometric ratio in $\Delta SPQ$ to solve for the height of the statue, h.

This can be done as:

$tan(\angle SPQ)=\frac{SQ}{PQ}$

$tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}$

$tan(27.32^0)=\frac{h+21}{57}$

$\therefore h+21=57tan(27.32^0)$

$h\approx8.45 ft$

Thus, the height of the statue is approximately, 8.45 feet.

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2 years ago

Jesse has 5 and 3/4 dozen eggs. How many eggs does he have.

Leviafan [203]

Ok so lets start with the 5 dozen there are 12 eggs in one dozen so we do 12*5 which gives us 60 and then we figure out what 3/4 of 12 is that sounds confusing the way i typed it. an example is make four piles each evenly numbered so four piles of three so take three of those piles which gives you the number nine so 60 + 9 gives you 69 so Jesse has 69 eggs.

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2 years ago