Answer:
7
Step-by-step explanation:
Remove parentheses.
[tex]\frac{-8+4(4.5)}{6.25-8.25} \\[/tex]
Add −8 and 4.5.
[tex]\frac{4(-3.5)}{6.25 - 8.25} \\\\[/tex]
Subtract 8.25 from 6.25.
[tex]\frac{4*-3.5}{-2}[/tex]
Multiply 4 by −3.5.
[tex]\frac{-14}{-2}[/tex]
Divide −14 by −2.
= 7
what is the answer to the problem i need help with?
Answer:
C
Step-by-step explanation:
Recall the equation for a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex], where the center is (h,k) and the radius is r.
The given equation is:
[tex](x+5)^2+(y+7)^2=21^2[/tex]
Another way to write this is:
[tex](x-(-5))^2+(y-(-7))^2=21^2[/tex]
Thus, we can see that h=-5 and k=-7.
The center is at (-5, -7).
The side, s, of a square with area A square feet is given by the formula s = square root A. Find the perimeter of a square with an area of 36 square feet. ______________ ft
Answer:
24 feet.
Step-by-step explanation:
The side of the square = √36 = 6 feet.
The square has 4 equal sides so the perimeter = 4*6 = 24 feet.
Determine the function which corresponds to the given graph. (3 points) a natural logarithmic function crossing the x axis at negative two and y axis at one. The asymptote is x = -3
Answer:
[tex]y=\log_3{(x+3)}[/tex]
Step-by-step explanation:
The parent log function has a vertical asymptote at x=0, so the asymptote at x=-3 indicates a left shift of 3 units.
The parent log function crosses the x-axis 1 unit to the right of the vertical asymptote, which this one does, indicating there is no vertical shift.
The parent log function has an x-value equal to its base when it has a y-value of 1. Here, the y-value of 1 corresponds to an x-value 3 units to the right of the vertical asymptote, so the base of this logarithm is 3.
The function is ...
[tex]\boxed{y=\log_3{(x+3)}}[/tex]
which graph is the solution to lx| > 10? HELP PICTURE INCLUDED
Answer:
Its the first answer choice.
Step-by-step explanation:
Its open circle because the sign is just greater than. And since x is an absolute value, the negative sign doesnt matter so, it points to the right of 10 and to the left of -10.
Consider the matrices. A=⎡⎣⎢4−3−578−2⎤⎦⎥ and B=⎡⎣⎢−27−35−12⎤⎦⎥ What is the result of A−B? Enter your answer by filling in the boxes.
hello
[tex]A-B=\left[\begin{array}{cc}4-(-2)&7-5\\-3-7&8-(-1)\\-5-(-3)&-2-2\end{array}\right] \\\\=\left[\begin{array}{cc}4+2&2\\-10&8+1\\-5+3&-4\end{array}\right] \\\\=\left[\begin{array}{cc}6&2\\-10&9\\-2&-4\end{array}\right][/tex]
hope this helps
Using matrices A and B, the result of A-B is
[tex]A-B=\left[\begin{array}{ccc}6&2\\-10&9\\-2&-4\end{array}\right][/tex]
Given :
Two matrices A and B. We need to subtract both matrix
Lets find out A-B
Given matrices A and B are
[tex]A=\left[\begin{array}{ccc}4&7\\-3&8\\-5&-2\end{array}\right] \\B=\left[\begin{array}{ccc}-2&5\\7&-1\\-3&2\end{array}\right][/tex]
When we subtract A-B we need to subtract the corresponding elements in that matrix
[tex]A-B=\left[\begin{array}{ccc}4&7\\-3&8\\-5&-2\end{array}\right] -\left[\begin{array}{ccc}-2&5\\7&-1\\-3&2\end{array}\right]=\left[\begin{array}{ccc}4-(-2)&7-5\\-3-7&8-(-1)\\-5-(-3)&-2-2\end{array}\right] \\A-B=\left[\begin{array}{ccc}6&2\\-10&9\\-2&-4\end{array}\right][/tex]
The above is the resultant matrix .
Learn more: brainly.com/question/12579158
3. A 12 % discount on a pair of washer and dryer that Gayle purchased, amounted to $156.00. Calculate the net price.
Answer:
For this case we know that the price after the 12% of discount is 156 and we want to findd the net price so then we can use the following proportional rule:
[tex] \frac{x}{100} = \frac{156}{100-12}[/tex]
Where x represent the net price. And if we solve for the value of x we got:
[tex] x= 100 *\frac{156}{88}= 177.273[/tex]
So then the net price for this case would be $ 177.273
Step-by-step explanation:
For this case we know that the price after the 12% of discount is 156 and we want to findd the net price so then we can use the following proportional rule:
[tex] \frac{x}{100} = \frac{156}{100-12}[/tex]
Where x represent the net price. And if we solve for the value of x we got:
[tex] x= 100 *\frac{156}{88}= 177.273[/tex]
So then the net price for this case would be $ 177.273
Please Help ASAP! Consider the function below.
f(x) = 2X - 2.
Which of these graphs represent the inverse of the function F??
Answer:
1st Graph
Step-by-step explanation:
Step 1: Find the inverse
y = 2x - 2
x = 2y - 2
x + 2 = 2y
y = (x + 2)/2
Step 2: Graph the inverse
Simply use a graphing calculator and we should see our answer is the top left graph.
A small regional carrier accepted reservations for a particular flight with 17 seats. 14 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 52% chance.A. Find the probability that overbooking occurs. B. Find the probability that the flight has empty seats.
Answer:B.
Step-by-step explanation: it is better to have empty seats than toforce people to give up their seats.
Kiemanh is solving the equation 15 r minus 6 r = 36. What is the value of r?
━━━━━━━☆☆━━━━━━━
▹ Answer
r = 4
▹ Step-by-Step Explanation
15r - 6r = 36
Collect like terms
9r = 36
Divide
r = 4
Final Answer
r = 4
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: The answer would be 4, which is B, hopefully this helps.
[tex](2 + 6)(2 + 3)[/tex]
Answer:
40 because (8)(5)=40 when you add the numbers inside the parenthesis
Step-by-step explanation:
Look at my picture for the written work for ANOTHER method
To solve this problem, you use the method called FOIL.
F= multiply the FIRST terms
O= multiply the OUTTER terms
I= multiply the INNER terms
L= multiply the LAST terms
Please rate this the brainlist if this helped, thanks!
Answer:
[tex]40[/tex]
Step-by-step explanation:
[tex](2+6)(2+3)[/tex]
Solve brackets.
[tex](8)(5)[/tex]
Multiply.
[tex]=40[/tex]
What is the inverse of the function f(x) = 2x + 1?
1
1
h(x) =
X-
2
2
1
1
Oh(x) =
- x +
O h(x) =
3x-2
Oh(x) =
= {x+2
Mark this and return
Save and Exit
Next
Submit
Answer:
[tex]f^{-1} = \frac{x-1}{2}[/tex]
Step-by-step explanation:
[tex]f(x) = 2x+1[/tex]
Replace it with y
[tex]y = 2x+1[/tex]
Exchange the values of x and y
[tex]x = 2y+1[/tex]
Solve for y
[tex]x = 2y+1[/tex]
Subtracting 1 from both sides
[tex]2y = x-1[/tex]
Dividing both sides by 2
[tex]y = \frac{x-1}{2}[/tex]
Replace it by [tex]f^{-1}[/tex]
So,
[tex]f^{-1} = \frac{x-1}{2}[/tex]
Answer:
[tex]\displaystyle f^{-1}(x)= \frac{1}{2}x - \frac{1}{2}[/tex]
Step-by-step explanation:
f(x) = 2x + 1
f(x) = y (output)
y = 2x + 1
Solve for x.
y - 1 = 2x
Divide 2 on both sides.
y/2 - 1/2 = x
1/2y - 1/2 = x
Switch variables.
1/2x - 1/2 = y
[tex]f^{-1}(x)= \frac{1}{2}x - \frac{1}{2}[/tex]
pls help me pls pls pls
Answer: 1x + 2y = 4
Step-by-step explanation:
The equation of the line is y = -1/2x + 2.
First, let's make 4 on one side of the equation. First, bring x to the left. y + 1/2x = 2. Then multiply the whole equation by two. Thus, 1x + 2y = 4.
Hope it helps <3
someone please help me!!!
Explanation:
Surface area of a cone = pi*r^2 + pi*r*sqrt(r^2+h^2)
r = radius
h = height of cone
In this case,
r = 8 is the radius
h = 41
So,
SA = surface area
SA = pi*r^2 + pi*r*sqrt(r^2+h^2)
SA = pi*8^2 + pi*8*sqrt(8^2+41^2)
SA = 1250.936884057 use a calculator for this step
SA = 1251 square meters approximately
Eighty-five percent of the people that use the Internet order something online. Find the probability that only 7 of 10 Internet users will order something online
Answer:
the probability that 7 out 10 Internet users will order something online is 0.78 or 78%
Step-by-step explanation:
Given that:
Internet users who order something online = 85%
To find:
Probability that 7 out of 10 Internet users will order something online ?
Solution:
This problem is of binomial distribution of probability.
where, p = 0.85
q = 1-p = 0.15
r = 7 and
n = 10
Formula is given as:
[tex]P(x = r) = _nC_r q^{n-r}p^r[/tex]
Putting all the values:
[tex]P(x = 7) = _{10}C_7 0.15^{10-7}\times 0.85^7\\P(x = 7) = _{10}C_3 0.15^{3}\times 0.85^7\\P(x = 7) = 10\times 9 \times 8 \times 0.15^{3}\times0.85^7\\P(x = 7) = 720 \times .0034 \times0.32\\P(x = 7) = 0.78[/tex]
So, the probability that 7 out 10 Internet users will order something online is 0.78 or 78%.
Plz answer what is in the screen shot!
Answer:
([tex]\sqrt{15}[/tex])/7
Step-by-step explanation:
Let b be the tird side of the triangle
tanθ= b/c
using the pythagorian theorem we get :
a²+b²= c² ⇒ b²= c²-a²= 8²-7²=15 ⇒b=√15
so: tanθ= √15/7
which is equivalent to 243 Superscript two-fifths?
Answer:
9
i got it right on my test
The equivalent expressions to 243 Superscript two-fifths will be 9.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple, we simplify it.
Simplification usually involves making the expression simple and easy to use later,
The given expression is;
[tex]243^{2/5}[/tex]
We know that 2/3 = 0.4
So, the equivalent expressions to the given function;
[tex]243^{0.4}\\\\= 9[/tex]
Thus, The equivalent expressions to 243 Superscript two-fifths will be 9.
Learn more about expression here;
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What will happen (other things being equal) if you increase the sample size used to construct a given confidence interval?
Answer:
So if you increase the sample size used to construct a given confidence interval, the confidence interval will be narrower, that is, more precise.
Step-by-step explanation:
The sample size is important to find the margin of errror of a confidence interval.
The margin of error is given by a formula in the following format:
[tex]M = \frac{c*s}{\sqrt{n}}[/tex]
In which c is the critical value(depends on the distribution used, can be T or Z), s is the standard deviation(of the sample or the population) and n is the size of the sample.
As n increases, M decreases, which leads to a lower margin of error.
The lower the margin of error, the more precise the interval is.
So if you increase the sample size used to construct a given confidence interval, the confidence interval will be narrower, that is, more precise.
the class mean was 72 with a standard deviation of 4.2. Calculate the z-score (to 2 decimal places) for a person who received score of 59. Is it usual or unusual?
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What is the equation of the graphed line written in
standard form?
O 2x - y = -4
O 2x - y = 4
O y = 2x – 4
O y=x-4
Answer:
2x-y=4
Step-by-step explanation:
Standard form of a line: Ax+by=c
Use slope intercept form: y=mx+b
slope= 2
y=2x-4
Add 4 to both sides.
y+4=2x
subtract y from both sides.
4=2x-y
Rotate the equation
2x-y=4
Answer:
2x-y=4
Step-by-step explanation:
y=2x-4 is the slope intercept.
y-2x=-4
-2x+y=-4
2x-y=4
This Question: 1 pt
5
A person earns $15,500 one year and gets a 5% raise in salary. What is the new salary?
The new salary is $
Answer:
The new salary of that person (for the period of a year) would be [tex]\$ 16,\!275[/tex].
Step-by-step explanation:
Start by considering: what is the exact value (in dollars) of that "[tex]5\%[/tex] raise in salary"?
[tex]5\%[/tex] (five percent) is equal to [tex]\displaystyle \frac{5}{100}[/tex].
To find the value of [tex]5\%[/tex] of [tex]\$15,\!500[/tex], simply multiply [tex]\$15,\!500[/tex] by [tex]5\%[/tex]:
[tex]\begin{aligned}&5\% \times \$15,\!500\\ &= \frac{5}{100} \times \$15,\!500 \\ &= 5\times \$155 = \$775 \end{aligned}[/tex].
Add that to the original (one-year) salary of this person to find the new one-year salary:
[tex]\$15,\!500 + \$775 = \$16,\!275[/tex].
Answer:
The new salary is $16,725
Step-by-step explanation:
To find the new salary, multiply 5% and $15,500
5% * $15,500
First, convert 5% to a decimal. Divide 5 by 100 or move the decimal place 2 spaces to the left.
5/100=0.05
5.0 --> 0.5--> 0.05
0.05 * $15,500
Multiply
$775
The raise is equal to $775.
Next, add the raise to the salary.
raise + salary
The raise is $775 and the salary is $15,500
$775 + $15,500
Add
$16,275
The new salary is $16,275
The cube of a number is less than five times the square of the number. For what set of numbers is this true?
(–ꝏ, 5)
(5, ꝏ)
(–ꝏ, 0) U (0, 5)
(–ꝏ, 5) U (5, ꝏ)
Answer:
(–ꝏ, 0) U (0, 5)
Step-by-step explanation:
The relation can be written as ...
x³ < 5x²
x³ -5x² < 0
x²(x -5) < 0
This is not true for x = 0. It is true for x < 5, otherwise. Then the solution set is ...
x ∈ {(–ꝏ, 0) U (0, 5)}
Answer:
C
Step-by-step explanation:
got it right on edge
How many ways can a 4-person subcommittee be selected from a committee of 6 people? (B) How many ways can a president comma vice dash president comma secretary comma and treasurer be chosen from a committee of 6 people?
Answer:
A) 360
B) 360
Step-by-step explanation:
Part A)
Given that there are a total of 6 people and 4 person subcommittee is to be selected.
Number of ways to select 1st person = 6
Now, 1 person is selected, total persons left are 5
Number of ways to select 2nd person = 5
Now, 1 person is selected, total persons left are 4
Number of ways to select 3rd person = 4
Now, 1 person is selected, total persons left are 3
Number of ways to select 4th person = 3
So, total number of ways = 6[tex]\times[/tex]5[tex]\times[/tex]4[tex]\times[/tex]3 = 360
Part B)
Given that there are a total of 6 people in the committee
Number of ways to select president = 6
Now, 1 person is selected, total persons left are 5
Number of ways to select vice president = 5
Now, 1 person is selected, total persons left are 4
Number of ways to select secretary = 4
Now, 1 person is selected, total persons left are 3
Number of ways to select treasurer = 3
So, total number of ways = 6[tex]\times[/tex]5[tex]\times[/tex]4[tex]\times[/tex]3 = 360
If x ∥ y and y ∥ z, then _____
Answer:
x ║ z
Step-by-step explanation:
Lines parallel to the same line are parallel to each other.
x and z are both parallel to y, so are parallel to each other:
x ║ z
united services and supplies reports net income of $100000 and cost of goods of $353000. If US&S's gross profit rate was 30%, net sales were
Answer:
Net sales is $ 504285.71
Step-by-step explanation:
We have the following:
Let net sales be x.
Net sales - Cost of goods sold = Gross profit
We replace and we are left with:
x - $ 353000 = x * 30%
x - $ 353000 = 0.30 * x
x - 0.30 * x = $ 353000
0.7 * x = $ 353000
x = $ 353000 / 0.7
x = $ 504285.71
Therefore, net sales is $ 504285.71
Sandy is working with a carpenter to frame a house. They are using 8-foot-long boards, but each board must be cut to be 7 feet inches long. How much is cut off each board? Note: 1 foot = 12 inches A. 1 1/4 inches B. 1 3/4 inches C. 7 inches D. 3/4 inch
Answer:
c
Step-by-step explanation:
plato
PLEASE AWNSER SOON!!! IM ALMOST OUT OF TIME!!!!!!!Rectangle JKLM is rotated 90° clockwise about the origin. On a coordinate plane, rectangle J K L M has points (negative 4, 1), (negative 1, 1), (negative 1, negative 1), (negative 4, negative 1). What are the coordinates of J’? J’(–1, –4) J’(4, –1) J’(1, 4) J’(4, 1)
Answer:
The answer is C (j' 1,4). It is not B J'(4, 1) because the new coordinate is moving 90 degrees clockwise not 180 degrees.
Step-by-step explanation:
J' will have coordinates (1, 4) after 90° clockwise rotation
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Rectangle JKLM is rotated 90° clockwise about the origin.
On a coordinate plane, rectangle J K L M has points (-4, 1), (-1, 1), (- 1, - 1), (- 4, - 1).
After rotating the rectangle 90° clockwise about the origin, the point J(-4, 1) will be transformed to a new point J' with coordinates (y, -x).
Thus, J' will have coordinates (1, 4).
Therefore, J' will have coordinates (1, 4) after 90° clockwise rotation
To learn more on Graph click:
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What steps would you take to determine if these figures are similar? Check all that apply. Use a scale factor of 2. Multiply the vertices of polygon ABCD by One-half. Translate the intermediate image 4 units down. Perform two different dilations. Reflect the intermediate image.
Answer:
Well I took it"s Reflect the intermediate image. and Multiply the vertices of polygon ABCD by One-half.
Step-by-step explanation:
Answer:
2 and 5 or B and E
Step-by-step explanation:
i did it on edge! ; )
Fill in the missing information. Tim Worker is doing his budget. He discovers that the average miscellaneous expense is $45.00 with a standard deviation of $16.00. What percent of his expense in this category would he expect to fall between $38.60 and $57.80?
Answer:
[tex] P(38.6 <X <57.8)[/tex]
And we can assume a normal distribution and then we can solve the problem with the z score formula given by:
[tex]z=\frac{X -\mu}{\sigma}[/tex]
And replacing we got:
[tex] z=\frac{38.6- 45}{16}= -0.4[/tex]
[tex] z=\frac{57.8- 45}{16}= 0.8[/tex]
We can find the probability of interest using the normal standard table and with the following difference:
[tex] P(-0.4 <z<0.8)= P(z<0.8) -P(z<-0.4) = 0.788-0.345= 0.443[/tex]
Step-by-step explanation:
Let X the random variable who represent the expense and we assume the following parameters:
[tex]\mu = 45, \sigma 16[/tex]
And for this case we want to find the percent of his expense between 38.6 and 57.8 so we want this probability:
[tex] P(38.6 <X <57.8)[/tex]
And we can assume a normal distribution and then we can solve the problem with the z score formula given by:
[tex]z=\frac{X -\mu}{\sigma}[/tex]
And replacing we got:
[tex] z=\frac{38.6- 45}{16}= -0.4[/tex]
[tex] z=\frac{57.8- 45}{16}= 0.8[/tex]
We can find the probability of interest using the normal standard table and with the following difference:
[tex] P(-0.4 <z<0.8)= P(z<0.8) -P(z<-0.4) = 0.788-0.345= 0.443[/tex]
If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)?
Answer:
270
Step-by-step explanation:
f(5) = 7 +4·5 = 27
g(5) = 1/(2·5) = 1/10
The ratio of functions is the ratio of their individual values:
(f/g)(5) = f(5)/g(5) = 27/(1/10)
(f/g)(5) = 270
4(x+1)=16 HELP MEEEEEE
Answer:
4(x + 1) = 16
x + 1 = 4 (Divide equation by 4)
x = 3 (subtract 1)
Answer:
x = 3
Step-by-step explanation:
4(x + 1)=16
Expand the brackets.
4x + 4 = 16
Subtract 4 on both sides.
4x + 4 - 4 = 16 - 4
4x = 12
Divide both sides by 4.
4x/4 = 12/4
x = 3