Answer:
30 units
Step-by-step explanation:
IF it is a right triangle AND these are the LEGS then the hypotenuse = 13
5+12 + 13 = 30
The inequality 10w + 40 < 450 represents the maximum number of ten-pound weights, w, a weight bench can hold if the maximum weight capacity of the bench is less than 450 pounds. The table shows the steps a trainer takes to solve the inequality.
Hey there!
10w + 40 < 450
SUBTRACT 40 to BOTH SIDES
10w + 40 - 40 < 450 - 40
SIMPLIFY IT!
10w < 450 - 40
10w < 410
DIVIDE 10 to BOTH SIDES
10w/10 < 410/10
SIMPLIFY IT!
w < 410/10
w < 41
(Your graph is shown below)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Suppose you take a sample of 15 pieces of colored fruit snacks and a sample of 60 pieces of colored fruit snacks from one day's production. Which sample is more likely to give you a prediction closer to the actual number of each color? Explain
Answer:
The sample of 15 pieces of colored fruit snacks
Step-by-step explanation:
The sample of 15 pieces of colored fruit snacks. The 60 pieces are from ONE day which means it can be heavily biased. It might be like "BLUE RASPBERRY SPECIAL DAY!" or "PRESIDENTS DAY!! RED BLUE AND WHITE!!". However, 15 pieces, whilst having less of a population, is probably more spaced out.
How many degrees is the angle measurement of
Answer:
x° = 37.13°
Step-by-step explanation:
13.4 = cathetus opposite the angle "x°"
22.4 = hypotenuse
[tex]sin(x^{o}) =\frac{13.4}{22.2}=0.6036[/tex]
[tex]x^{o} =sin^{-1} (0.6036)=37.13^{o}[/tex]
Hope this helps
f(x): x^2+1
g(x) = 5-x
(f + g)(x) =
1. X^2 + x - 4
2. X^2 + x +4
3. X^2-x + 6
4. X^2 + x + 6
thank you!
Answer:
f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ). Solution. Step 1. Find ( f – g ) ( x ). ( f – g ) ( x ) = f ...
Step-by-step explanation:
through (-2,5)
and (2, 1)
Answer:
x + y = 3
Step-by-step explanation:
The equation of a line through two points can be found using the 2-point form for the equation of a line:
y -y1 = (y2 -y1)/(x2 -x1)(x -x1) . . . . . line through points (x1, y1) and (x2, y2)
__
y -5 = (1 -5)/(2 -(-2))(x +2) . . . . using points (-2, 5) and (2, 1)
y -5 = (-4/4)(x +2)
y -5 = -(x +2) . . . . . . equation in point-slope form
y -5 = -x -2
y = -x +3 . . . . . . . . . equation in slope-interept form
x + y = 3 . . . . . . . . . equation in standard form
Mary did not pay last month's credit card bill in full. Below is a list of Mary's daily balances for his last billing cycle.
For 6 days she owed $500.00
For 4 days she owed $350.26
For 7 days she owed $568.45
For 8 days she owed $480.34
For 6 days she owed $649.90
Type your answer.
500+350.26+568.45+480.34+649.90 = $2548.95
hope it really helps...!!!
A line passes through (-5,2) and has a slope of -1. What is an equation of the line in slope-intercept form?
A. y+2=-(x-5)
B. y=-x-3
C. y-2=-(x+5)
D. y=-x+3
Answer:
B. y=-x-3
Step-by-step explanation:
[tex]f(x) = ax + b \\ a = - 1 \\ (x \: y) = ( - 5 \: \: 2) \\ f( - 5) = - ( - 5) + b = 2 \\ 5 + b = 2 \\ b = - 3 \\[/tex]
So,
[tex]f(x) = - x - 3 \\ y = - x - 3[/tex]
Hope it helps
Equation in point slope form
y-y1=m(x-x1)y-2=-1(x+5)y-2=-x-5y=-x-3HELP ME PLS FOR 90 PTS
In the number 1.1084, how does the value of the 1 in the ones place compare to the value of the 1 in the tenths place?
a The value of the 1 in the ones place is 1/10 the value of the 1 in the tenths place.
b The value of the 1 in the ones place is 10 times the value of the 1 in the tenths place.
c The value of the 1 in the ones place is 1/100 the value of the 1 in the tenths place.
d The value of the 1 in the ones place is 100 times the value of the 1 in the tenths place.
Answer:
a
Step-by-step explanation:
The value of the 1 in the ones place is 1/10 the value of the 1 in the tenths place.
Find the 8th
term of the geometric sequence 8, 16, 32. ..
the 8th term of the geometric sequence 8, 16, 32 is 1024
first we have to find the ratio
r=2
then, we have to find the 8th term
U8=1024
Please help me with this
It would be C because that is the one that make the most sense
The area of a triangle is 12 square feet. If the base is 6 feet, what is the height of the triangle?
Options:
2 feet
1 feet
6 feet
4 feet
Answer:
4 feet
Step-by-step explanation:
A=hbb
2
Solving forhb
hb=2A
b=2·12
6=4ft
A student prepares 150.0 ml of 1.40 m hcl using 35.0 ml of a stock solution. what is the concentration of the stock solution? use m subscript i v subscript i equals m subscript f v subscript f.. 0.327 m 4.29 m 6.00 m 7.35 m
Answer:
(c) 6.00 M
Step-by-step explanation:
The given equation can be solved for the unknown concentration.
__
[tex]m_iv_i=m_fv_f\\\\m_i(35.0\text{ ml})=(1.40\text{ M})(150.0\text{ ml})\\\\m_i=\dfrac{(1.40\text{ M})(150.0\text{ ml})}{35.0\text{ ml}}\\\\\boxed{m_i=6.00\text{ M}}[/tex]
The concentration of the stock solution is 6 M.
Answer: c- 6.00 m
Step-by-step explanation:
got it right on edge
3. 4g (2) + 7g - h
A. g-h
B. 159 - h
Answer:
15g-h is the answer......
6. Find the value of x to the nearest tenth. Volume of the
cylinder is 602.88 cm3.
Volume: 602.88 cm3
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=x\\ h=12\\ V=602.88 \end{cases}\implies \begin{array}{llll} 602.88=\pi (x)^2(12)\implies \cfrac{602.88}{12\pi }=x^2 \\\\\\ \sqrt{\cfrac{602.88}{12\pi }}=x\implies 4.0\approx x \end{array}[/tex]
Which statement describes the relationship between x and y PLEASE HELP
As x increases, y decreases.
Help
Need the steps >.
Answer:
x = 3
Step-by-step explanation:
using the rule of exponents
[tex]4^{x}[/tex] = [tex](\frac{1}{2}) ^{x-9}[/tex]
[tex](2^2)^{x}[/tex] = [tex](2^{-1}) ^{x-9}[/tex]
[tex]2^{2x}[/tex] = [tex]2^{-1(x-9)}[/tex] = [tex]2^{9-x}[/tex]
suince the bases on both sides are equal, then equate the exponents
2x = 9 - x ( add x to both sides )
3x = 9 ( divide both sides by 3 )
x = 3
1,030 at 4% compounded semiannually for 2 years
Answer: $1114.91
Step-by-step explanation:
The formula for compound interest is
[tex]A= P(1+\frac{r}{n})^{nt} \\[/tex]
Where
A = final amount
P = initial principal balance (1030 for this)
r = interest rate (0.04 for this)
n = number of times interest applied per time period (2 for this)
t = number of time periods elapsed (2 for this)
[tex]A= 1030(1+\frac{.04}{2})^{(2)(2)} \\\\A= 1030(1+0.02)^{4} \\A=1030(1.02)^4\\A=1114.905125[/tex]
This rounds up to $1114.91
A polygon that undergoes a series of transformations such that the image has the corresponding sides and angles of equal measure to those of the original, it can be said that the original and the image are congruent. true or false
Yes the pre image and image are congruent always
See
They are transformed through a constant scale factor so they ought to be same .
And
If there angles of one triangle (pre image) are congruent to rest three(image) then triangles are congruent by AAA congruence
Create a table of values and graph the function g(x)=|x-4|
Table of values
4 0
5 1
6 2
7 3
A Diameter of a circle has endpoints P(-10, -2) and Q(4, 6)
a. Find the center of the circle.
b. find the radius. If your answer is not an integer, express in in radical form.
c. write an equation for the circle
PLS HELP FAST!
Will Give Brainiest if answered properly!
Answer:
see explanation
Step-by-step explanation:
(a)
the centre of the circle is at the midpoint of the endpoints.
using the midpoint formula
centre = ( [tex]\frac{-10+4}{2}[/tex] , [tex]\frac{-2+6}{2}[/tex] ) = ([tex]\frac{-6}{2}[/tex] , [tex]\frac{4}{2}[/tex] ) = (- 3, 2 )
(b)
the radius r is the distance from the centre to either of the endpoints
using the distance formula to find r
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 3, 2 ) and (x₂, y₂ ) = Q (4, 6 )
r = [tex]\sqrt{(4-(-3))^2+(6-2)^2}[/tex]
= [tex]\sqrt{(4+3)^2+4^2}[/tex]
= [tex]\sqrt{7^2+16}[/tex]
= [tex]\sqrt{49+16}[/tex]
= [tex]\sqrt{65}[/tex]
(c)
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r the radius , then
(x - (- 3) )² + (y - 2)² = ([tex]\sqrt{65}[/tex] )² , that is
(x + 3)² + (y - 2)² = 65
Answer:
Step-by-step explanation:
a) Use midpoint formula to find the center.
[tex]\sf \boxed{Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}[/tex]
P(-10 ,-2) ⇒x₁ = -10 & y₁ = -2
Q(4,6) ⇒ x₂=4 & y₂ = 6
[tex]\sf midpoint = \left(\dfrac{-10+4}{2},\dfrac{-2+6}{2}\right)[/tex]
[tex]=\left(\dfrac{-6}{2},\dfrac{4}{2}\right)\\\\=\left(-3,2\right)[/tex]
b) To find the radius, use the distance formula
[tex]\boxed{distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
Q(4,6) & O(-3,2)
[tex]r=\sqrt{(-3-4)^2+(2-6)^{2}}\\\\=\sqrt{(-7)^{2}+(-4)^2}\\\\=\sqrt{49+16}\\\\= \sqrt{65}[/tex]
radius = √65
c) Equation of circle : (x - h)² +(y -k)² = r²
Where (h,k) is the coordinates of the center and r is the radius
(x -[-3])² + (y - 2)²= (√65)²
(x + 3)² + (y -2)² = 65
How many molecules of hydrogen chloride would there be in 100. 00 grams of this gas? please help
Answer:
9.5 * 10^23 molecules of HCl
Step-by-step explanation:
just a note this might be better to put in the chem section next time since this is a stoichiometry question
the molar mass of HCL is 1.007 + 35.45 = 65.457 g/mol
to find the number of moles, divide 100 by 65.457
then multiply the number of moles by 6.22 * 10^23 to get the number of molecules
[tex]100.00g * \frac{1 mol}{65.457g} * \frac{6.22 * 10^{23} molecules }{1 mol} = 9.502 * 10^{23} molecules[/tex]
The circumference of a circle is 15.03
m. Find the radius and round to the
nearest hundredth.
Answer:
2.39 meters
Step-by-step explanation:
Given:
Circumference = 15.03 metersCircumference:
[tex]\displaystyle \large{C=2\pi r}[/tex]
C = circumference = 15.03r = radiusTherefore:
[tex]\displaystyle \large{15.03=2\pi r}[/tex]
Divide both sides by 2π:
[tex]\displaystyle \large{\dfrac{15.03}{2\pi}=\dfrac{2\pi r}{2\pi}}\\\displaystyle \large{2.3920... = r}[/tex]
Round to nearest hundredth:
[tex]\displaystyle \large{r=2.39}[/tex]
Therefore, the radius is 2.39 meters
Plss some help!!
Its easy just not for me. lol
Answer:729
Step-by-step explanation: volume is base area × height
Base area = 9×9
Volume =9×9×9
please help me
Nikita performed an experiment in which she randomly pulled a marble from a bag, recorded its color, placed it back in the bag, and then repeated. The results are shown in the following table.
Result Frequency
Red 20
Purple 24
Blue 12
Based on the experiment, what is the probability of drawing a blue marble?
Enter your answer as a fraction, like this: 42/53
The probability of drawing a blue marble is the likelihood of blue marbles
The experimental probability of drawing a blue marble is 3/14
How to determine the probability?The probability of drawing a blue marble is calculated using:
P(Blue) = Blue/Total
So, we have:
P(Blue) = 12/(20 + 24 + 12)
Evaluate the sum
P(Blue) = 12/56
Simplify
P(Blue) = 3/14
Hence, the experimental probability of drawing a blue marble is 3/14
Read more about probability at:
https://brainly.com/question/251701
Answer: 3/14
Step-by-step explanation:
xy and 5x²y are like terms. *
1 point
True
False
Like terms are polynomials that have the same variables with their exponents. *
1 point
True
False
The product obtained in square of binomial is the difference of two squares. *
1 point
True
False
The sum of x and 3x is 4x *
1 point
True
False
In the acronym FOIL Method, O means opposite. *
1 point
True
False
Expression 10 + k has two terms 10 and k. *
1 point
True
False
– 7xy and 27xyz are unlike terms. *
True
False
8z has two terms 8 and z. *
True
False
xy and – xy are like terms *
True
False
Option 3
The answer obtained in multiplying two binomial is a monomial. *
True
False
Answer:
now let's answer this question:
Step-by-step explanation:
1) False
the power 2 spoiled everything.
2) False
like therms aren't always polynomials.
3)False
it's doesn't always come out as diff. of two squares.
4)True
1x+3x =4x ( imagine 1 + 3 = 4 s) ( sum means "add up").
5)False
the O in FOIL means "outer" or "outside" (tip: FOIL means "First", "Outside", "Inside", "Last").
6) True
we can't add them together, they're "unlike terms".
7)True
"Z" is missing in the first term
8) False
they're were multiplied which means they become one term now.
9)Trueeee
having a negative symbol doesn't change nothing
10)False
it's will still take the power it came with which is "2"
e.g 3^2 x 4^2 = 12^2 ( not 12^1 ).
Hope it helps...
thanks
It takes 4/5 of an hour to paint 2/5 of a room, how long does it take to paint one room?
Answer:
It should be 2/5 hours. 4/5 - 2/5 is 2/5.
Step-by-step explanation:
what 3x to the 5th power and 3x to the ninth power
Answer: 19926
this is the answer
Taylor starts a trip to the mall with $160 cash. After 20% of it is spent, seven-eighths of the remainder is lost to a pickpocket. This leaves Taylor with how much money?
Answer: $16
r=remainder
s=spent
r'=final remainder
160
160-(160 x .20) = r OR 160 x .80 = r
160-32 = r = 128 = 160 x .80 =
Then , 7/8 is lost so:
128 - (7/8 x 128) :
7/8=.875
128-(.875 x 128)
Using PEMDAS:
128-(112):
128-112= $16
The Coolmathz family is ordering pizza. They order two pizzas. One is $15, and the other is $12. They use a coupon for 5% off the whole order. They then tip 18% of the cost after the coupon. How much did the Coolmathz family spend in total? Show your work
Answer:
30.51$
Step-by-step explanation:
15+12=27$
5% of 27$=1.35$
18% of 27=4.86
Do the math: 27+4.86-1.35=30.51
Use the graph to determine which statement describes f(x).
AY
5
y = f(x)
5
A
O A. R(x) does not have an inverse function, because its graph fails the
vertical line test
B. f(x) does not have an inverse function, because its graph fails the
horizontal line test
O C. Rx) has an inverse function, because its graph passes the vertical
line test
OD. Rx) has an inverse function, because its graph passes the
horizontal line test.
Answer: B
Step-by-step explanation:
The solution is : B. f(x) does not have an inverse function, because its graph fails the horizontal line test.
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
here, we have,
In the graph, we can see two asymptotes at x = 1.
This means that the denominator is equal to 0 when x = 1, then we can write:
f(x) = A/(x - 1)
Where we can start thinking that A is a constant.
Now we also can see that when x = 2, f(2) is equal to 1, or:
f(2) = 1.
Then:
f(2) = 1 = A/(2 - 1) = A/1
Then we have A = 1.
Then our function is:
f(x) = 1/(x - 1)
Hence, The solution is : B. f(x) does not have an inverse function, because its graph fails the horizontal line test.
To learn more on graph click:
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