4. Use the function f(x) = 2x + 5. When asked to find the value of x for which f(x) =17, Hudson answered 39. What mistake did Hudson make? What is the correct
answer?
Answer: The correct answer is 6. Hudson evaluated the function at x =17, instead of finding the the value of x.
Step-by-step explanation:
2( 1/2)+5
1+5= 6
what is 10x9= what is the answer to my questions slows
Answer:
90.
Step-by-step explanation:
10, 9 times, means you're adding 10+10+10+10+10+10+10+10+10=90.
Point M (-3, 6) and point 'N (1,-1) are located on a coordinate
grid.
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Can you guys help me with this geometry problem tysm
Answer:
m∠UVW = 12°
m∠XYZ = 78°
Step-by-step explanation:
m∠UVW = (x - 10)°
m∠XYZ = (4x - 10)°
∠UVW + ∠XYZ = 90°
(x - 10) + (4x - 10) = 90
x - 10 + 4x - 10 = 90
5x - 20 = 90
5x = 110
x = 22
m∠UVW = (22 - 10)° = 12°
m∠XYZ = (4(22) - 10)° = 78°
A school group wants to rent part of a bowling alley to have a party. The bowling alley costs $500 to rent, plus an additional charge of $5 per student to bowl. The group doesn’t want any student to pay more than $15 total to attend this party.
What is inequality that could represent this situation?
How many students would need to attend so each student would pay at most $15?
Answer:
If there are N students, the total cost will be:
C(N) = $500 + $5*N.
And we want the amount that each student pays to be equal or less than $15.
then:
C(N)/N ≤ $15.
Then the inequality that represents this situation is:
($500 + $5*N)/N ≤ $15.
Now, let's solve this:
($500 + $5*N) ≤ $15*N
$500 ≤ $15*N - $5*N
$500 ≤ $10*N
$500/$10 ≤ N
50 ≤ N
So the minimum number of students needed is 50.
FIRST RIGHT GETS BRAINLIEST
Answer:
-4+-6=-10
Step-by-step explanation:
Write the slope-intercept form of the equation of the line described by (−1, −1), parallel to y = −2x − 4
Answer:
y = -2x - 3
Step-by-step explanation:
Slope intercept form of line is
y = mx + c
where
m is the slope and c is the y intercept
________________________________________
Given that line
y = −2x − 4
comparing it with y = mx + c
m = -2 and c = -4
Thus, slope of this line is -2
we also know that when two lines are parallel then their slopes are same
thus, slope of required line will be m = -2
___________________________________________
now let the equation of line passing through (-1,-1) be
y = mx + c
we have found m to be -2
using this in above equation we have
y = -2x + c
since (-1,-1) passes through the above line using x = -1 and y = -1
we have
-1 = -2*-1 + c
-1 = 2 + c
c = -1 - 2 = -3
using c = -3 in y = -2x + c
we have
equation of line as
y = -2x - 3 in slope intercept form.
A net is cut from a piece of cardboard that is 13 inches by 17 inches. The cardboard that is not used for the net is recycled.
How many square inches of cardboard are recycled?
Answer:
109 sq in
Step-by-step explanation:
By adding up all the areas in the net, we get 112 sq in. We then use that number to subtract from the area of the cardboard which is 221 sq in. We then get 109 sq in from that. Hope this helps.
Which is the slope of the line that passes through the points (4, 2) and
(6, 7)?
Answer:
2.5
Step-by-step explanation:
Use the formula y2-y1 divided by x2-x1
Plug in the values: (7-2)/(6-4)
5/2
=2.5
Whats the answers please
Answer: D,C,B
Step-by-step explanation:These are the answers
A die is rolled. The set of equally likely outcomes is (1, 2, 3, 4, 5, 6). Find the probability of getting a 3.
Answer:
Step-by-step explanation:
1/6
The probability of getting 3 is 1/6.
What is the probability?Probability is defined as the possibility of an event to be happened which is the ratio of no. of favorable outcomes and total no. of outcomes.
Probability of an event = P(E) = No. of favorable outcomes/Total No. of outcomes
Here given that the dice are fair and six-sided is rolled.
Total no. of outcomes by rolling the dice = 6 i.e. {1,2,3,4,5,6}
The event is to get the number 3 by rolling the dice.
The favorable outcome is = {3}
Number of favourable outcomes= 1 i.e. {3}
As the dice is the set of equally likely outcomes.
Probability of getting 3 = P(getting 3)= No. of favorable outcomes/Total No. of outcomes= 1/6
Therefore the probability of getting 3 is 1/6.
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What is the slope of the line graphed below?
Find an equation of the line that satisfies the given conditions.
Through (2, 9); parallel to the line passing through (3, 7) and (−1, 3)
9514 1404 393
Answer:
y = x +7
Step-by-step explanation:
The slope of the given line can be found as ...
m = (y2 -y1)/(x2 -x1)
m = (3 -7)/(-1 -3) = -4/-4 = 1
Then the point-slope form of the equation for the desired line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y - 9 = 1(x -2)
y = x -2 +9
y = x + 7 . . . . slope-intercept form
__
The attachment shows a graphing application that will write the equation of the line. Here, it shows the desired line has the equation ...
x -y = -7 . . . . desired line equation in standard form
Find Mx, My, and (x, y) for the lamina of uniform density rho bounded by the graphs of the equations. y = x2/3, y = 0, x = 1
The required value for the lamina of uniform density [tex]\bar x\\[/tex] and [tex]\bar y[/tex] are written below,
[tex]\bar x = \dfrac{5}{8}\\[/tex]
[tex]\bar y = \dfrac{5}{14}[/tex]
Given that:
The density of lamina: ρThe graph for the lamina: [tex]y = x^{\frac{2}{3}}[/tex], y = 0, and x = 1Calculus's core idea of integration entails determining a function's integral. It is a reverse process of differentiation that enables us to compute cumulative numbers, find the area under a curve, solve differential equations, and more.
The function can be written as,
[tex]m = \rho\int_0^1x^{\frac{2}{3}}dx\\= \rho\left[\dfrac{x^{\frac{5}{3}}}{\frac{5}{3}}}\right]\\=\dfrac{3}{5}\rho[/tex]
The value of Mx can be calculated as,
[tex]M_x = \rho\int_0^1\dfrac{x^{\frac{2}{3}}}{2}}\times x^{\frac{2}{3}}dx\\=\dfrac{\rho}{2}\left[\dfrac{x^{(\frac{2}{7})}}{\frac{7}{3}}\right]_0^1\\=\dfrac{3}{14}\rho[/tex]
Calculate the value of My,
[tex]M_y =\rho \int_0^1 x\times x^{\frac{2}{3}}dx\\=\rho \left[\frac{x^\frac{8}{3}}{\dfrac{8}{3}}\right]\\=\dfrac{3}{8}{\rho[/tex]
The value of [tex]\bar x\\[/tex] will be calculated as,
[tex]\bar x = \dfrac{M_x }{m}\\=\dfrac{ \dfrac{3}{8}\rho}{\dfrac{3}{5}\rho}\\=\dfrac{5}{8}[/tex]
The value of [tex]\bar y\\[/tex] is calculated as,
[tex]\bar y= \dfrac{M_y }{m}\\=\dfrac{ \dfrac{3}{14}\rho}{\dfrac{3}{5}\rho}\\=\dfrac{5}{14}[/tex]
Therefore, the required values are [tex]\bar x = \dfrac{5}{8}\\[/tex] and [tex]\bar y = \dfrac{5}{14}[/tex].
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What is the slope of line passing through (2, 7) and (4, - 6)?
Answer:
The slope is -13/2x + 20. In decimal form, -6.5x + 20
Which only lists multiples of 16? O1,2,4, 8, 16 O 16, 24, 32, 40 O16, 32, 48, 64 O 1,2, 4, 8, 12, 16
Answer:
48 & 68
Step-by-step explanation:
if you multiply the numbers you will see that you get 48 & 68 multiple times
Yousuf needs 7 4/9 yards of fabric to make blanket for his mom for Mother’s Day. He found 3 1/3 yards of pink fabric. How much more does he need to finish the blanket
A. 4 1/9
B. 10 7/9
C. 4 3/9
D. 10 1/9
Pleaseeeeeee I rlly need help y’all help me out PLEASE HELP ASAP WILL GIVE BRAINLEIST
Mr. Velasquez wants to make a scale drawing of a set for an upcoming play. If the actual width of the stage is 18 feet and the scale he is using is LaTeX: \frac{1}{2}in
1
2
i
n
: 15 feet. What would the width of the stage be in the scaled drawing?
Answer as a decimal.
Answer:
0.6 in
Step-by-step explanation:
Scale of drawing = ½ inch to 15 ft (½ in : 15 ft)
That is, ratio of the width on paper to actual width.
Given an actual width of 18 ft, the width of the stage on paper can be calculated as shown below:
½ in : 15 ft = x in : 18 ft
[tex] \frac{\frac{1}{2}}{15} = \frac{x}{18} [/tex]
[tex] \frac{1}{2}*\frac{1}{15} = \frac{x}{18} [/tex]
[tex] \frac{1*1}{2*15} = \frac{x}{18} [/tex]
[tex] \frac{1}{30} = \frac{x}{18} [/tex]
Cross multiply
[tex] 30*x = 18*1 [/tex]
[tex] 30x = 18 [/tex]
Divide both sides by 30
[tex] \frac{30x}{30} = \frac{18}{30} [/tex]
[tex] x = \frac{18}{30} = \frac{6}{10} [/tex]
[tex] x = 0.6 [/tex]
Width of the stage in scale drawing = 0.6 in
what is the density of the rectangular prism 3cm 4cm 6cm that weighs 36 grams?
Answer:
a. 0.5 g/cc
Step-by-step Explanation:
Given:
Measurement of rectangular prism = 3 cm × 4 cm × 6 cm
Mass of rectangular prism = 36 grams
Required:
Density of rectangular prism
SOLUTION:
[tex] Density = \frac{Mass}{Volume} [/tex]
Mass = 36 g
Volume = 3*4*6 = 72 cm³
[tex] Density = \frac{36}{72} [/tex]
Density = 0.5 g/cc
10. A minute hand will clearly turn a total of 360° in an hour. How many minutes will it take for the minute hand
turn 155? Round to the nearest minute. Show the calculations that lead to your final answer
Answer:
5 min
Step-by-step explanation:
If the minute hand takes an hour to go 360°, going 155° would take 26 minutes.
The first step is to find the number of degrees the minute hand goes in a minute:
= Degrees in an hour / Minutes in an hour
= 360 / 60
= 6° per minute
In order to go 155°, the minute hand would go for:
= Degrees / Degrees per minute
= 155 / 6
= 25.83
= 26 minutes
In conclusion, it would take 26 minutes for the minute hand to turn 155°.
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We
Shannon makes and sells picture frames. She charges different rates depending on the material she uses for the frame Shannon sold a frame
for $45. Which type of frame did Shannon sell? Use the drop-down menus to show and explain your answer
Frame Prices
Wood frame
$18
Metal frame
1.5 times wood frame rate
2.5 times wood frame rate
Silver-plated frame
Shannon bought the Choose
frame because 45
Choose...
= $18, which is the wood frame rate.
Answer: Shannon sold the silver plated frame because 45 divided by 2.5 = $18, which is the wood frame rate.
Step-by-step explanation:
I know this because 45 divided by 2.5 = $18 And that’s the silver plated frame.
$11000 is compounded semiannually at a rate of 8% for 19 years. What is the total amount in the compound interest account?
Answer:
all really all you have to do is do 8 divided by 19 and then whatever that number that you get from that attractive from your highest number that you have in your question which is 11000
I mark as brainliest
x3 = 25
help me for 20 points :D
What is the equation of a line that is perpendicular yo the line whose equation is 2y+3x=1?
Answer:
y = 2/3x + 1/2
Step-by-step explanation:
First, make the equation into a slope-intercept form:
2y + 3x = 1
2y = -3x + 1
y = -1.5x + 0.5
You can make it into a fraction:
y = -3/2x + 1/2
Now here's the equation:
y = 2/3x + 1/2
Hope this helps!
Let me know if I'm wrong :)
-6(x - 6) = x(16 - 7)
Help please
Answer:
the answer would be x equal 2.4
Step-by-step explanation:
sorry for my bad handwriting
What are the terms on the expression 2x-4y+8
(01.06)
Rick is setting up a model train track that is
sono
feet long. No telephone pole is needed at the start of the track. However, along the track, he places a telephone
pole every
foot apart. How many telephone poles does he need? (Input number values only)
Numerical Answers Expected!
Answer for Blank 1
Answer:
2
Step-by-step explanation:
2
What is the answer to this
If two different integers between 1 and 100 inclusive are chosen at random, what is the probability that the difference of the two numbers is 15
Answer: 17 / 990
Step-by-step explanation:
To obtain the probability of the question above :
Find the count of number pairs whose difference gives is 15 in the range (1 to 100).
Also find the count of all distinct number pair differences
Number pair which have a difference of 15 = 85
Total distinct number pair differences = 4950
Probability = required outcome / Total possible outcomes
P(difference of 15) = 85/4950 = 17/990