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3 years ago

9

Katie bought a bike for $150.00. she had a coupon for 15% off and the sales tax rate is 9%. What is the total cost after the tax

and the discount.

1 answer:

REY [17]3 years ago

8 0

Answer:

135 dollars That all she hade to pay

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Suppose A and B are points. How many lines contain both A and B?

RUDIKE [14]

B. 1

use this website http://images.pcmac.org/SiSFiles/Schools/CT/NaugatuckSchools/NaugatuckHigh/Uploads/Forms/Geo_Review_...
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4 years ago

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PY=2, HP=3, find HY<br><br> Geometry

klemol [59]

Answer:

$HY=\sqrt{5}\ units$

Step-by-step explanation:

we know that

The triangle HPY is a right triangle (because the angle ∠HYP is a right angle)

Applying the Pythagorean Theorem

$HP^2=HY^2+PY^2$

substitute the given values

$3^2=HY^2+2^2$

Solve for HY

$9=HY^2+4$

$HY^2=9-4$

$HY^2=5$

$HY=\sqrt{5}\ units$

5 0

3 years ago

Which of these statements is true for f(x)=(1/10)^x

lana66690 [7]

Step-by-step explanation:

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

Analyzing option A)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

Putting $x = 1$ in the function

$f\left(1\right)=\:\left(\frac{1}{10}\right)^1$

$f\left(1\right)=\:\left\frac{1}{10}\right$

So, it is TRUE that when $x = 1$ then the out put will be $f\left(1\right)=\:\left\frac{1}{10}\right$

Therefore, the statement that '' The graph contains $\left(1,\:\frac{1}{10}\right)$ '' is TRUE.

Analyzing option B)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

The range of the function is the set of values of the dependent variable for which a function is defined.

$\mathrm{The\:range\:of\:an\:exponential\:function\:of\:the\:form}\:c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k$

$k=0$

$f\left(x\right)>0$

Thus,

$\mathrm{Range\:of\:}\left(\frac{1}{10}\right)^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}$

Therefore, the statement that ''The range of $f(x)$ is $y > \frac{1}{10}$ " is FALSE

Analyzing option C)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

The domain of the function is the set of input values which the function is real and defined.

As the function has no undefined points nor domain constraints.

So, the domain is $-\infty \:$

Thus,

$\mathrm{Domain\:of\:}\:\left(\frac{1}{10}\right)^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Therefore, the statement that ''The domain of $f(x)$ is $x>0$ '' is FALSE.

Analyzing option D)

Considering the function

$f\left(x\right)=\:\left(\frac{1}{10}\right)^x$

As the base of the exponential function is less then 1.

i.e. 0 < b < 1

Thus, the function is decreasing

Also check the graph of the function below, which shows that the function is decreasing.

Therefore, the statement '' It is always increasing '' is FALSE.

Keywords: function, exponential function, increasing function, decreasing function, domain, range

Learn more about exponential function from brainly.com/question/13657083

#learnwithBrainly

3 0

4 years ago

Read 2 more answers

If 5 sips +4 gulps = 1 glass and 13 sips +7 gulps = 2 glasses, how many sips equal a gulp?

nataly862011 [7]

Answer:

3 sips equal a gulp

Step-by-step explanation:

we have

$5sips+4gulps=1glass$ ----> equation A

$13sips+7gulps=2glass$

Divide by 2 both sides

$6.5sips+3.5gulps=1glass$ ----> equation B

equate equation A and equation B

$5sips+4gulps=6.5sips+3.5gulps$

Group terms that contain the same variable

$4gulps-3.5gulps=6.5sips-5sips$

$0.5gulps=1.5sips$

$gulps=(1.5/0.5)sips$

$gulps=3sips$

therefore

3 sips equal a gulp

3 0

3 years ago

I need help right now please.

stealth61 [152]

Answer:

b. 5/√21

Step-by-step explanation:

The sine is positive in quadrant II, so the cosecant will be also. The sine function never has a magnitude greater than 1, so the cosecant function (the reciprocal of the sine) never has a magnitude less than 1.

The only positive number with a magnitude greater than 1 among your answer choices is 5/√21, selection B.

_____

If you draw the triangle with hypotenuse 5 and side 2 along the x-axis, you find the Pythagorean theorem tells you the opposite side (parallel to the y-axis) has length ...

... O = √(5² -2²) = √21

Then the sine ratio is ...

... Sin = Opposite/Hypotenuse = (√21)/5

The cosecant function is the reciprocal of the sine function, so its value is ...

... csc(θ) = 1/sin(θ) = 1/((√21)/5)

... csc(θ) = 5/√21

4 0

4 years ago