Consider the following proportion:
2 12
— -—
7 x
Use cross products to write the equation: 2x = 84.
What is the value of x?
[tex]\displaystyle\bf 2x=84\\\\x=84:2=42\\\\\boxed{x=42}[/tex]
Can someone help me with this
Answer:
Step-by-step explanation:
Which function has a vertex at (2, 6)?
O f(x) = 2|x – 2| – 6
O f(x) = 2|x – 2| + 6
Of(x) = 2|x + 2| + 6
Of(x) = 2|x + 2| - 6
Answer:
B
Step-by-step explanation:
Trust me bro. It’s “B.”
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Step-by-step explanation:
number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Solve the inequality:
3(8 – 4x) < 6(x – 5)8 - 4x < 2(x - 5)8 - 4x < 2x - 108 + 10 < 4x + 2x18 < 6x3 < xx > 3The solution set is the space to the right from 3, where 3 is given by an open circle.
Correct choice reflecting the answer is B:
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Find x from this triangle
Hello,
we are going to use the theorem of the bissectrice. (if this word is good in english)
[tex]\dfrac{KL}{LM} =\dfrac{KN}{NM} \\\\\dfrac{8}{x} =\dfrac{14}{20-x} \\\\8(20-x)=14x\\\\160-8x=14x\\\\22x=160\\\\x=\frac{160}{22} \\\\x=\frac{80}{11} \\\\\\x=7.\overline{27}[/tex]
A lunch menu consists of 2 types of tortillas and 5 different fillings. How many choices are there for ordering a burrito with one filling?
Answer:
You can choose between 10 different choices.
Step-by-step explanation:
Given that a lunch menu consists of 2 types of tortillas and 5 different fillings, to determine how many choices are there for ordering a burrito with one filling, the following calculation must be performed:
2 x 5 = X
10 = X
Therefore, you can choose between 10 different choices.
If a window is to be 6 feet wide, how high should it be, to the nearest tenth of a foot, to be a golden rectangle
Answer:
3.7 feet
Step-by-step explanation:
A golden rectangle is a rectangle in which the length and the width are in the ratio 1 : 1.618
If the width of the rectangle is 6, the length = 6 / 1.618 = 3.708 ft
= 3.7 (to the nearest tenth)
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
4.OA.2: The Turner family uses 548 liters of water per day. The Hill family uses 3 times as much water per day. How much more water does the Hill family use per day?
Answer:
1096 more water
Step-by-step explanation:
Let;
x = the water used in general
but used 3 times of the original = 3x
3*(548) = 1644 water a day
How much more water =New - original
where:
new = 1644
original= 548
1644 - 548
=1096 more water
I need help. Someone please figure it out
Answer:
[tex]\frac{1}{2^{n} }[/tex]
Step-by-step explanation:
The rules of exponents state that
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] and [tex]a^{0}[/tex] = 1
Thus
[tex]2^{-5}[/tex] = [tex]\frac{1}{2^{5} }[/tex] = [tex]\frac{1}{32}[/tex]
[tex]2^{-4}[/tex] = [tex]\frac{1}{2^{4} }[/tex] = [tex]\frac{1}{16}[/tex]
[tex]2^{-3}[/tex] = [tex]\frac{1}{2^{3} }[/tex] = [tex]\frac{1}{8}[/tex]
and so on , to
[tex]2^{0}[/tex] = 1
(g) (2 sin 60°)(3 kos 60°) + 3 tan 30°
Answer:
[tex](2 \ sin 60)(3\ cos 60) +3\ tan 30\ =\ \frac{5\sqrt3}{2}[/tex]
Step-by-step explanation:
[tex](2 \ sin 60)(3 \ cos 60) + 3\ tan 30\\\\= (2 \times \frac {\sqrt3}{2}) (3 \times \frac{1}{2})+ (3 \times \frac{1}{\sqrt3})\\\\=(\sqrt{3}\ \times \frac{3}{2})+ \frac{3}{\sqrt3}\\\\=\frac{3\sqrt3}{2}+\frac{3}{\sqrt3}\\\\=(\frac{3\sqrt3}{2} \times \frac{\sqrt3}{\sqrt3})+(\frac{3}{\sqrt3} \times \frac{2}{2})\\\\=\frac{3\times (\sqrt3)^2}{2\sqrt3}\ + \ \frac{6}{2 \sqrt3}\\\\=\frac{3 \times 3}{2 \sqrt3} +\frac{6}{2 \sqrt3}\\\\=\frac{9+6}{2\sqrt3}\\\\=\frac{15}{2\sqrt3} \times \frac{\sqrt3}{\sqrt3}\\\\[/tex]
[tex]=\frac{15 \sqrt3}{2 \times (\sqrt{3})^2}\\\\=\frac{15 \sqrt 3}{2 \times 3}\\\\=\frac{5\sqrt3}{2}[/tex]
someone please help!!
how many divisors does 56 have?
Answer:
1,2,4,7,8,14,28,56 those are the divisors for 56
Step-by-step explanation:
hope that helps >3
56 7*2^3 1,2,4,7,8,14,28,56
Solve for x, then choose
the correct graph.
- 3x > 12
answer:
-4
Step-by-step explanation:
-3x>12
x<-4
the correct graph is graph b
0,5.[tex]\sqrt{0,09}[/tex]-2.[tex]\sqrt{0,05}[/tex]+[tex]\sqrt \frac{1}{4}[/tex]
Answer:
0.21
Step-by-step explanation:
The given expression is :
[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}[/tex]
We need to solve it.
We know that,
[tex]\sqrt{0.09}=0.3\ and\ \sqrt{0.05}=0.223[/tex]
So,
[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}=0.5\times 0.3-2\times 0.22+0.5\\\\=0.21[/tex]
or
[tex]=\dfrac{21}{100}[/tex]
So, the value of the given expression is equal to 0.21.
Far behind does anyone know this?
Answer:
the answer is A
Step-by-step explanation:
comment if you want explanation
Answer:
A is the answer to your question
One triangle has an angle of 81 degrees and the corresponding angle of the other triangle is 2x - 5 degrees, find the value of x?
Answer:
[tex]x=43[/tex]
Step-by-step explanation:
Corresponding angles are equal. It is implied that the two angles referred to in the triangles are equal, otherwise they should not be labelled as corresponding.
Therefore, we can set both equations equal to each other:
[tex]2x-5=81^{\circ}[/tex]
Add 5 to both sides:
[tex]2x=86[/tex]
Divide both sides by 2:
[tex]x=\frac{86}{2}=\boxed{43}[/tex]
Joe drinks some milk every day. The graph shows the proportional
relationship of how many liters of milk Joe drinks to number of days.
Find the amount of milk he drinks in 7 days.
====================================
Explanation:
Draw a vertical line up from x = 7 until you reach the diagonal red line. Mark point P at this location. Then from point P, move horizontally until you reach the y axis. You should get to y = 14.
See the diagram below.
The equation of this red line is y = 2x. Whatever the input x is, we double it to get y. So if x = 7, then y = 2x = 2*7 = 14
This means that Joe drinks 14 liters of milk in 7 days. Or you could say his rate is 14 liters per week.
Answer:
The correct answer is 14 liters
Step-by-step explanation:
When you look at the graph you can count the grid squares. In one day Joe drinks 2 liters of milk. So 7 times 2 is 14. That is your answer
Let me know if I did anything wrong. :)
What is the answer to this question
1. What is the solution of the system of equations?
y = -3x + 8
y = -5x - 2
Answer:
This system of equations has no solution since the first one says:
x
2
−
y
=
8
while the second one gives us:
x
2
−
y
=
−
(
y
−
x
2
)
=
−
0
=
0
and
8
≠
0
Step-by-step explanation:
Relationships between x and y
Answer:
so both tables are proportional
1. in the green table
y divided by x =
1/5 for each row
2. in the blue table
y divided by x =
2/5 for each row
Step-by-step explanation:
/ means divided by
divide y by x
for both tables
in each table
if y divided by x
show the same number
for every row
then its proportional
1. in the green table
y divided by x =
1/5 for each row
2. in the blue table
y divided by x =
2/5 for each row
so both tables are proportional
Which of these is an exponential parent function?
Complete question is;
Which of these is an exponential parent function?
A. f(x) = x
B. f(x) = 2^(x)
C. f(x) = x²
D. f(x) = |x|
Answer:
B. f(x) = 2^(x)
Step-by-step explanation:
> In option A, f(x) = x
This function depicts a straight line with intercept as 0 and slope as 1.
> In option C, f(x) = x²
This function depicts a parabola open up since the leading coefficient is greater than 0.
> In option D: f(x) = |x|
This function depicts a straight line y = x for x > 0 and y = -x for x < 0
In option B f(x) = 2^(x)
This function depicts an exponential function because the x is in the exponent form with a base of 2.
Determine the values of xfor which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001.(Enter your answer using interval notation. Round your answer to four decimal places.)
Answer:
The values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001. f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0
The explanation of the answer is now provided as follows:
Given:
f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0 …………….. (1)
[tex]R_{3}[/tex] = (x) = (e^z /4!)x^4
Since the aim is [tex]R_{3}[/tex](x) < 0.001, this implies that:
(e^z /4!)x^4 < 0.0001 ………………………………….. (2)
Multiply both sided of equation (2) by (1), we have:
e^4x^4 < 0.024 ……………………….......……………. (4)
Taking 4th root of both sided of equation (4), we have:
|xe^(z/4) < 0.3936 ……………………..........…………(5)
Dividing both sides of equation (5) by e^(z/4) gives us:
|x| < 0.3936 / e^(z/4) ……………….................…… (6)
In equation (6), when z > 0, e^(z/4) > 1. Therefore, we have:
|x| < 0.3936 -----> 0 < x < 0.3936
Therefore, the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.
If px-3+qx+1=2x+3,Find the value of p+q
Please attach a photo of your solution
Answer:
0.000081
=8.1x10-⁵
0.0000386
=3.86x10-⁵
see in picture
The two
triangles are similar.
What is the value of x?
Enter your answer in the box:
Answer:
x = 5
Step-by-step explanation:
Sides of large triangle: 4x and 15
Corresponding sides of small triangle: 3x + 1 and 12
[tex] \dfrac{4x}{15} = \dfrac{3x + 1}{12} [/tex]
[tex] 60 \times \dfrac{4x}{15} = 60 \times \dfrac{3x + 1}{12} [/tex]
[tex] 16x = 15x + 5 [/tex]
[tex] x = 5 [/tex]
If 2.2 pounds = 1 kilogram and Mary weighs 120 pounds, how much does she weigh in
kilograms?
Given:
2.2 pounds = 1 kilogram
Weight of Mary = 120 pounds.
To find:
The weight of Marry in kilograms.
Solution:
We have,
2.2 pounds = 1 kilogram
Using this conversion, we get
1 pound = [tex]\dfrac{1}{2.2}[/tex] kilogram
120 pound = [tex]\dfrac{1}{2.2}\times 120[/tex] kilogram
= [tex]\dfrac{120}{2.2}[/tex] kilogram
[tex]\approx 54.54[/tex] kilogram
Therefore, the weight of Mary is about 54.54 kilograms.
Describe fully the single transformation that maps triangle A onto triangle B
Answer:there’s needs to be an image
Step-by-step explanation:
BD=16 and AC is the perpendicular bisector of BD
Answer:
AC =
Step-by-step explanation:
AC = 16/2
= 8
THAT IS THE SOLUTION ABOVE
If AABC IS REFLECTED across the y axis what are the coordinates of A
Answer:
A. (-1, 3)
Step-by-step explanation:
When reflecting across the y-axis: (x, y) ⇒ (-x, y).
Therefore, A(1, 3) ⇒ A'(-1, 3).
18. Ingrid usually runs 12 miles in 2 hours. If she
only has 40 minutes to run today, how many
miles can she run going at the same rate?
A. 2.4 miles
B. 3 miles
4 miles
2
D. 6-miles
Answer:
4 miles
Step-by-step explanation:
120min/12miles
10min/1mile
40min/4miles
The number of miles can she run, going at the same rate will be 4 miles. Then the correct option is C.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Ingrid usually runs 12 miles in 2 hours.
2 hours = 120 minutes
Then the speed will be
Speed = 12 / 120
Speed = 0.1 miles per minutes
If she only has 40 minutes to run today.
Then the number of miles can she run, going at the same rate will be
Distance = 0.1 x 40
Distance = 4 miles
Then the correct option is C.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ2