Mary says the pen for her horse is an acute right angle . is this possible

Answers

Answer 1

Answer: I don't think so, because "acute angle" means "an angle less than 90 degrees". A right angle is exactly 90 degrees.

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[CALCULUS] [HELP PLEASE]7. The edge of a cube was found to have a length of 50 cm with a possible error in measurement of 0.1 cm. Based on the measurement, you determine that the volume is 125,000 cm^3. Use tangent line approximation to estimate the percentage error in volume.

0.6%
0.9%
1.2%
1.5%
1.8%

A point on a damped spring has motion given by s(t)=2e^(-1.5t) s in(2(pi)t), where s is measured in centimeters and t is measured in seconds. Choose which of these is the graph for the velocity function for 0 < or equal to t < or equal to 4

Answers

Answer:

(7)

error percentage is 0.6%

(8)

Graph-C

Step-by-step explanation:

(7)

we are given cube

Let's assume edge of cube =x

so, volume of cube will be

$V(x)=x^3$

we are given

V=125000

so, we can find 'x'

$125000=x^3$

$x=50$

So,

$a=50$

now, we can use linear approximation formula

$L(x)=V(a)+(x-a)V'(a)$

$L(x)=V(a)+(\Delta x)V'(a)$

we have

$\Delta x=0.1$

we can plug a=50

$L(x)=V(50)+(0.1)V'(50)$

$V(x)=x^3$

we can find derivative

$V'(x)=3x^2$

now, we can plug x=50

$V'(50)=3(50)^2$

$V'(50)=7500$

now, we can plug these values

and we get

$L(x)=V(50)+(0.1)* 7500$

$L(x)=V(50)+750$

$L(x)-V(50)=750$

so, error is

$error=750$

now, we can find percentage error

Percentage is

$=(750)/(125000)* 100$

=0.6%

so, error percentage is 0.6%

(8)

we are given

$s(t)=2e^(-1.5t)sin(2\pi t)$

We will find derivative

To get velocity , we will find derivative

$s'(t)=(d)/(dt)\left(2e^(-1.5t)\sin \left(2\pi t\right)\right)$

we can use product rule

and we get

$s'(t)=-3e^(-1.5t)sin(2\pi t)+4\pi e^(-1.5t) sin(2\pi t)$

so, we get velocity equation as

$v(t)=-3e^(-1.5t)sin(2\pi t)+4\pi e^(-1.5t) sin(2\pi t)$

now, we can draw graph

we can see that firstly , we get maxima and then minima

so, our graph would be

graph-C........Answer

Brown has his own bakery.He baked 5 cakes per day.Due to the occasion of Christmas, he started to bake 12 cakes per day.In the whole Christmas week how many cakes will he bake

Answers

7 times 12= 84 because there are 7 days in the week so multiply the 7 by the 12 cakes made each day of the week

Sarah purchased a set of art supplies for $20.90 and a pair of jeans for $18.95.The sales tax rate in the state is 7%.How much change did Sarah receive from $50

Answers

Total purchase she did : $20.90+$18.95=$39.85
7% tax means that we have to 7% or (7/100) extra
7% X 39.85= 2.79
total pay: 39.85+2.79=42.64
total cash: $50
what she gets back: 50-42.64=7.36

What ia the shape of the histogram below?

Answers

A uniform shape has all values uniform(equal).

The given histogram plotted has all values almost equal and thus, its shape is given by:

Option D: uniform

What is symmetric shape?

A graph is symmetric if it is same on either side of a line you create (called as line of symmetry).

What is proportional shape?

When the graph is scaled(shortened or elongated), then such shape is called of having proportional shape(proportional to some reference).

What is skewed shape?

When the graph is more lean over left or more lean over right, then it is called skewed. It is in contrast with symmetric when graph is symmetric from both sides.

What is uniform shape?

A graph is called uniform if all the values are uniform (same).

Since, in given histogram, the frequency of all intervals are almost same, thus, we can say that this histogram is almost uniform.

Thus, Option D: uniform is correct.

Learn more about histogram here:

brainly.com/question/2962546

Answer:

The answer is uniform shape histogram.

Step-by-step explanation:

The given histogram is uniform in shape. We can see in the given image, that the pattern is uniform as every bar is almost exactly the same height. This shows almost the same number of values in each group that is represented by a bar.

We usually get the uniform pattern in some types of probability experiments.

HELP ME CHECK MY ANSWER PLEASE!!!

Answers

you have alot of question so I will say if it is right or wrong and explain if it is wrong

1. correct 10a√a

2.correct 2ab ∛b^2

3. incorrect, answers are 2nd one and fourth one
x^3√(2xy)-4x√(2xy)
(2x^3y-4x)√(2xy)

4. incorrect, answer is 6√3

5.incorrect, answer is last one 3√6-3√2

6. correct

7. incorrect, if a>b then a/b is not a fraction, that means that is a rational number that is greater than 1 and exponents to numbers greater than 1 get bigger

answer is 3rd and 4th
$\sqrt[b]{100^(a) }$
expression is greater han 100

8. incorrect, since it is the 3rd root, reverse it and get 3^3=27
answer is 27x^(3/5)

9. incorrect, the answer is 4x^(2/3) because pemdas says that the exponents before multiplication

10. incorrect, answer is use pemdas
ansewr is $\frac{9b^{ (3)/(8) }}{a}$

Divide mentally.

1.2 ÷ 3,000 = ?

Answers

It would equal 0.0004.

0.0004 is the answer.

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PLEASE HELP I GIVE THANKS

Can someone please help me with this? Thank you!