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kumpel [21]
2 years ago
8

Raquel has $154.68 in her savings account. She rounds the amount to the nearest whole dollar.

Mathematics
1 answer:
exis [7]2 years ago
8 0
She rounds it to $155, because it is the closest whole number.
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please explain/give the new equation from the original equation: f(x) = x2 a shifted 3 units down b shifted 4 units right
masha68 [24]
\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)=  A(  Bx+  C)+  D
\\\\
~~~~y=  A(  Bx+  C)+  D
\\\\
f(x)=  A\sqrt{  Bx+  C}+  D
\\\\
f(x)=  A(\mathbb{R})^{  Bx+  C}+  D
\\\\
f(x)=  A sin\left( B x+  C  \right)+  D
\\\\
--------------------

\bf \bullet \textit{ stretches or shrinks horizontally by  }   A\cdot   B\\\\
\bullet \textit{ flips it upside-down if }  A\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }  B\textit{ is negative}

\bf ~~~~~~\textit{reflection over the y-axis}
\\\\
\bullet \textit{ horizontal shift by }\frac{  C}{  B}\\
~~~~~~if\ \frac{  C}{  B}\textit{ is negative, to the right}\\\\
~~~~~~if\ \frac{  C}{  B}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }  D\\
~~~~~~if\   D\textit{ is negative, downwards}\\\\
~~~~~~if\   D\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{  B}

and with that template in mind.

3 units down, D = -3

4 units to the right, C = -4

f(x) = (x - 4)² - 3
7 0
4 years ago
TW¯¯¯¯¯¯¯¯¯=3, CW¯¯¯¯¯¯¯¯¯=x, TU¯¯¯¯¯¯¯=x+7, VW¯¯¯¯¯¯¯¯¯=6. Find the value of x.
belka [17]

Answer:

x = 4

Step-by-step explanation:

TW = 3

WU = TU - TW = x + 7 - 3 = x + 4

CW = x

VW = 6

By the property of intersecting chords inside a circle, we have:

TW * WU = CW * VW

3(x + 4) = x * 6

3x + 12 = 6x

12 = 6x - 3x

12 = 3x

12/3 = x

4 = x

x = 4

8 0
3 years ago
1/3b + 5 = 3/2b + 1/3
astra-53 [7]
B = 4. You can solve this by simplifying.
6 0
3 years ago
Read 2 more answers
The nutrition label for Oriental Spice Sauce states that one package of sauce has 1110 milligrams of sodium. To determine if the
asambeis [7]

Answer:

1124.28 \text { to } 1220.94

Step-by-step explanation:

A 99% confidence interval for the mean sodium content in Oriental Spice Sauce is,

First, compute t -critical value then find confidence interval.

The t critical value is,

The sample size is small and two-tailed test. Look in the column headed \alpha=0.01 and the row headed in the t distribution table by using degree of freedom is,

 d . f . =n-1

=170-1  

=169

The t critical value is 2.605 .

99 \% \text { C.I. } &=\bar{x} \pm t_{c} \times s / \sqrt{n}

=1172.61 \pm 2.605 \times 241.88 / \sqrt{170}

=1172.61 \pm 48.33

=1124.28 \text { to } 1220.94

A 99%confidence interval for the mean sodium content in Oriental Spice Sauce is  

1124.28 \text { to } 1220.94

8 0
3 years ago
1. What is factorization? <br>2.Find the factorization of 891 and please explain!<br><br>Thank you!
Anastaziya [24]

Answer:

In mathematics, factorization (also factorisation in some forms of British English) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.Prime factorization of 891 = 1×3×3×3×3×11= 1×34×11

Step-by-step explanation:

1. We write number 891 above a 2-column table  

2. We divide 891 by the smallest possible prime factor  

3. We write down on the left side of the table the prime factor and next number to factorize on the ride side

4. We continue to factor in this fashion (we deal with odd numbers by trying small prime factors)

5. We continue until we reach 1

6 0
3 years ago
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