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erma4kov [3.2K]

2 years ago

10

Tom walks 2.3 km to the park. He then walks a further 450 m to the shop.

2 answers:

SpyIntel [72]2 years ago

8 0

Answer:

tom has walked 2.75 km in total

Step-by-step explanation:

450m = 0.45 km

2.3 + 0.45 = 2.75 km

Svetach [21]2 years ago

7 0

Answer:

2.75

Step-by-step explanation:

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Each week carrie works 40 hours she spend 15% of her time at register

VLD [36.1K]

Please, share the goal of the problem. If Carrie works 40 hours per week and spends 15% of her time at the register, how much time does she NOT spend at the register?

Subtract 15% from 100%; the result is 85%. Now find 85% of 40 hours:

0.85(40 hours) = 34 hours.

Please note that I invented part of this problem. Next time, share all of the info so that someone can help you solve YOUR particular problem.

3 0

3 years ago

Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π

lorasvet [3.4K]

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The <em>instantaneous</em> rate of change at a given value of $x$ can be found by concept of derivative, which is described below:

$g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Where $h$ is the <em>difference</em> rate.

In this question we must find an expression for the <em>instantaneous</em> rate of change of $g$ if $f(x) = \sin x$ and evaluate the resulting expression for $x = \frac{\pi}{3}$ . Then, we have the following procedure below:

$g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x$

$g(x) = \cos x$

Now we evaluate $g(x)$ for $x = \frac{\pi}{3}$ :

$g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}$

The <em>instantaneous</em> rate of change of <em>g</em> with respect to <em>x</em> at <em>x = π/3</em> is <em>1/2</em>. $\blacksquare$

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

4 0

2 years ago

Shane covered the front of the kite at the right with paper. How many square inches of paper did Shane use?

Daniel [21]

Answer: 14 in.

Step-by-step explanation:

https://studyandanswers.com/mathematics/question15147255?#

5 0

3 years ago

25 marble, 5 are red what pecent is that?

CaHeK987 [17]

Answer:

20%

Step-by-step explanation:

To find the decimal answer, we just do 5/25 which is equivalent to 0.2

Then, we multiply 0.2 by 100 to get the percentage:

0.2*100=20

8 0

3 years ago

A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find th

aniked [119]

Answer:

The initial value is 29.5

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept ( also called initial value)

we have the points

(3,42.25) and (5,50.75)

Find the slope m

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{50.75-42.25}{5-3}$

$m=\frac{8.5}{2}$

$m=4.25$

substitute in the equation

$y=4.25x+b$

<em>Find the value of b</em>

with the point (3,42.25) ( or the other given point)

substitute the value of x and the value of y in the equation and solve for b

$42.25=4.25(3)+b$

$42.25=12.75+b$

$b=42.25-12.75$

$b=29.5$

substitute

The linear equation is

$y=4.25x+29.5$

The initial value is the y-intercept (value of y when the value of x is equal to zero)

For x=0

$y=4.25(0)+29.5$

$y=29.5$

Therefore

The initial value is 29.5

5 0

3 years ago

Read 2 more answers