Answer:
[tex]\large\boxed{x=-\dfrac{1}{11}}[/tex]
Step-by-step explanation:
[tex]34x+5-12x=3\qquad\text{subtraxct 5 from both sides}\\\\34x-12x=3-5\\\\22x=-2\qquad\text{divide both sides by 22}\\\\x=\dfrac{-2}{22}\\\\x=-\dfrac{2:2}{22:2}\\\\x=-\dfrac{1}{11}[/tex]
To solve the equation 34x+5−12x=3, we combine like terms to get 22x+5=3, then isolate x to find that x=-1/11.
The student's question, 34x+5−12x=3, presents a linear equation where we need to find the value of x.
To solve for x, we shall first consolidate like terms on the left side of the equation.
We have:
34x - 12x + 5 = 3
22x + 5 = 3
22x = 3 - 5
22x = -2
x = -2/22
x = -1/11
The value of x in this equation is -1/11.
if h(x) = −2x − 10, find h(−4)
Answer:
h(-4) = -2
Step-by-step explanation:
h(x) = −2x − 10
Plug in x = -4 into the function h(x) = −2x − 10
h(-4) = −2(-4) − 10
h(-4) = 8 - 10
h(-4) = -2
Answer:
The answer is -2
Step-by-step explanation: If h(x)= -2(-4)-10
h(x)=8-10
h(x)=-2
Geoffrey needs to find the circumference of a circle. Which process should he use?
A He should multiply the diameter times 2 and then multiply the result by 3.14.
B He should multiply the radius times 2 and then multiply the result by 3.14.
C He should square the diameter and then multiply the result by 3.14.
D He should square the radius and then multiply the result by 3.14.
Answer:
[tex]2 \times 3.14 \times radius[/tex]
B
Answer:
The process he should use in order to find the circumference of a circle is that he should find the radius and multiply the radius by 2 and then afterwards multiply the product by pi or 3.14. This is because the circumference of a circle is formulated as C = 2πr or C = 2(3.14)r.
Step-by-step explanation
with that being said the answer should be B
The diameter of a sphere is 4 centimeters. Which represents the volume of the sphere?
이 me
O 81 cm
O 64 cm
O 167 cm
Answer:
V = 33.5 cm^3
Step-by-step explanation:
The volume of a sphere is given by
V=4/3 pi r^3
The diameter is 4
r= d/2
r =4/2 =2
V = 4/3 pi (2)^3
V = 4/3 pi 8
V = 32/3 pi
Assuming pi is approximated by 3.14
V = 32/3 (3.14)
= 33.493333333 cm^3
To the nearest tenth
V = 33.5 cm^3
When a nursery owner orders plants from the distributor, 92% of the plants arrive alive. If the nursery owner wants their inventory of a particular plant to be 540 living plants, how many plants should the owner order?
You must make a [tex]\frac{part}{whole}[/tex] proportion.
92% is part of 100%
540 would need to be the 92% of the plant bought. That means 540 is the part and the whole would be the unknown (let's make this x)
Set up your proportion like so...
[tex]\frac{540}{x} =\frac{92}{100}[/tex]
Cross multiply...
92x = 540 * 100
92x = 54000
Isolate x by dividing 92 to both sides...
92x/92 = 54000/92
x = 586.9565
Since you can't buy a decimal of a plant you will have to round this number up to the next whole number...
587
To have 540 of the plants arrive alive the nursery owner must order 587 plants
Hope this helped!
~Just a girl in love with Shawn Mendes
Triangle XYZ is shown, where n 25.
Which statements are true regarding the sides and angles
of the triangle? Check all that apply.
n +4
OXY is the longest side.
Angle X is the largest angle.
Angle Z is greater than angle Y.
XZ is opposite the largest angle.
XZ is the shortest side.
Save and Exit
Answer: 2nd, 3rd, and 5th are true
Step-by-step explanation:
The first statement cannot be true, if n ≥ 5, which is given, then ZY must be greater than XY
The second statement must be true, as long as n ≥ 5, ZY will always be greater than XZ and XY, and therefore, the angle opposite to ZY will always be the greatest angle, so X is the largest angle
The third statement must be true for the same reasoning as the second statement. The side opposite to angle Z will always be greater than the side opposite of angle Y, meaning that angle Z will always be greater than angle Y (assuming n ≥ 5).
The fourth statement is false, we already proved that X is the largest angle and XZ is not opposite of angle X.
The fifth statement is true, XZ will always have the lowest value as long as n ≥ 5.
All the correct statements regarding the sides and angles of the triangle are,
⇒ Angle X is the largest angle.
⇒ Angle Z is greater than angle Y.
⇒ XZ is the shortest side.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle XYZ is shown,
where n ≥ 5
Now, We get;
For n = 5;
XY = n + 4 = 5 + 4 = 9
YZ = 2n = 2 x 5 = 10
ZX = n - 2 = 5 - 2 = 3
Hence, We get;
⇒ ZX < XY < YZ
And, ∠X > ∠Z > ∠Y
Thus, All the correct statements regarding the sides and angles of the triangle are,
⇒ Angle X is the largest angle.
⇒ Angle Z is greater than angle Y.
⇒ XZ is the shortest side.
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Solve the following subtraction problems.
a. 8 mi 133 yd 2 ft – 5 mi 107 yd 2 ft
Answer:
3 miles 26 yards
Step-by-step explanation:
We are to perform subtraction on the following:
8 mi 133 yd 2 ft – 5 mi 107 yd 2 ft
We have to divide the amount of miles from miles, yards from yards and feet from feet. So a good idea is to write it this way in order to avoid any confusion:
8 mi 133 yd 2 ft
- 5 mi 107 yd 2 ft
_______________
3 mi 26 yd 0 ft
_______________
So we are left with 3 miles 26 yards.
Which of the equations below could be the equation of this parabola?
Answer:
B
Step-by-step explanation:
Parabola that is opening upward has the form [tex]y=ax^2[/tex]Parabola opening downward has the form [tex]y=-ax^2[/tex]Parabola opening leftward has the form [tex]x=-ay^2[/tex]Parabola opening rightward has the form [tex]x=ay^2[/tex]Where a is a constant
Now, looking at the graph given, it takes the form [tex]x=-ay^2[/tex]
Where a is 3 (matching the answer).
Hence, B is the correct answer choice.
Find the value of x in the figure below
A) 94
B) 78
C) 110°
D) 210
There's the tangent secant angle theorem which says the measure of angle B is half the difference of the two intercepted arcs. That means
58 = (1/2) (210 - x)
116 = 210 - x
x = 94
Answer: A
That's not a very intuitive answer. Let's see if we can see why. Let's call the center of the circle O and the unlabeled intersection at the top D.
Angle DOC=210 degrees the long way, that's what an arc measure means
Angle DOC=360-210=150 degrees the short way
We have angle BCO=90 degrees because it's a tangent.
So angle BDO is the fourth angle in a quadrailateral BCDO
BDO = 360 - DBC - BCO - DOC = 360 - (58 + 150+90) = 62 degrees
ADO is isosceles, with two radii for sides. So DAO=62 degrees
That leaves DOA = 180 - 62 - 62 = 56 degrees
Angle AOC = x
x + arc AD = DOC
x + 56 = 150
x = 94
That checks.
Suppose an airplane climbs 15 feet up for every 40 feet it moves forward. What is the slope of this airplanes ascent?
The slope of the airplane's ascent is calculated using the rise over run formula and is 3 / 8 or 0.375.
Explanation:
The slope of the airplane's ascent can be calculated by the ratio of the rise over the run. In this case, the airplane climbs 15 feet up (rise) for every 40 feet it moves forward (run). Therefore, using the formula slope = rise / run, we can determine that the slope of the airplane's ascent is 15 / 40, which simplifies to 3 / 8 or 0.375.
can you helped me with this?
Which 3 values are solutions to the system of linear inequalities?
(0,0)
(1,1)
(-1,0)
(6,0)
(0,2)
Answer:
(0, 0), (-1, 0), (0, 2)Step-by-step explanation:
Look at the picture.
Mark points in the coordinate system.
Find points that lie in the shaded region or on the given lines.
Lilian has 42 feet of yarn. She wants to cut the yarn into 8 equal parts. How long will each part be?
A- five and two eighths feet
B- five and four eighths feet
C- six and one eighth feet
D- six and five eighths feet
Answer:
A. Five and two eighths feet.
Step-by-step explanation:
42 (feet of yarn) ÷ 8 (equal parts) = 5.25 (feet of yarn that each part is)
5.25 =
[tex]5 \frac{1}{4} [/tex]
or
[tex]5 \frac{2}{8} [/tex]
because 1/4 = 2/8.
Hope this helps!
The given graph represents the function f(x) = 2(5)x. How will the appearance of the graph change if the a value in the function is decreased, but remains greater than 0?
The graph will increase at a slower rate.
The graph will show a decreasing, rather than increasing, function.
The graph will show an initial value that is lower on the y-axis.
The graph will increase at a constant additive rate, rather than a multiplicative rate
Answer: its c.
Step-by-step explanation:
The graph will show an initial value that is lower on the y-axis.
aka c.
Answer:C
Step-by-step explanation:
Someone pleaseeee help!!!!
Which statements are true? Check all that apply.
Answer: A) arc CB = 120°
C) <COB = 2(m<CAB)
D) <COB = 120°
Step-by-step explanation:
The measure of an inscribed angle is half the measure of its intercepted arc
⇆ The measure of an arc is twice the measure of its inscribed angle.
Thus, since <CAB = 60°, then arc CB = 120° OPTION A
The measure of a central angle is congruent to its arc
⇆ The measure of an arc is congruent to the central angle.
Thus, since arc CB = 120°, then <COB = 120° OPTION D
Since <COB = 120°, and <CAB = 60°,
then <COB = 2(m<CAB) OPTION C
Answer: A. C. D.
Step-by-step explanation:
Got it right on edg
in an Arthemitic progression, if the common difference (d= -4) and the seventh term is 4 then find the first 3 terms
Answer:
28, 24, 20
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
here d = - 4 and a₇ = 4, hence
a₁ + (6 × - 4) = 4
a₁ - 24 = 4 ( add 24 to both sides ), hence
a₁ = 28
a₂ = 28 - 4 = 24
a₃ = 24 - 4 = 20
Which graph represents an even function?
Answer:
Step-by-step explanation:
The first graph (the parabola opening down) represents an even function, since this graph is symmetric with respect to the y-axis.
Step-by-step explanation:
For an even function we have f(x) = f(-x)
In the given graphs let us substitute values
In first graph
f(2) = 0
f(-2) = 0
So f(2) = f (-2)
Graph is even
In second graph
f(2) = 0
f(-2) = 4
So f(2) ≠ f (-2)
Graph is not even
First graph represents an even function
20 points
Solve this please
Answer:
1.3333.
Step-by-step explanation:
Tan X = opposite / adjacent side
= 32/24
= 1.3333.
Answer:
the answer isssssss
1.333333333333333
Step-by-step explanation:
32%24=
1.333333333333333
What is the solution of -x+4>2
There is no single solution but there is a group of solutions also known as the interval.
[tex]
-x+4>2 \\
-x>-2 \\
x<2
[/tex]
This can be written with an interval.
[tex]x\in(-\infty, 2)[/tex]
Hope this helps.
r3t40
The slope of the line below is 2 use the coordinates of the labeled point to find a point slope equation of the line
Answer:
B.
Step-by-step explanation:
The answer is B. The problem says that the slope is 2 and it as the points (3,10) on its line. When looking at the graph, you can see that the line crosses at four on the y-intercept which is why four will be your constant. So, your equation in slope intercept form will become y=2x+4. With this, you can start eliminating the given answers.
You can immediately eliminate c and d because the 2 is negative when it isn't in its slope form. It leaves you with a and b.
When looking at both a and b you now have to look at what your y will become when you sinplify both of them. In choice a, the 2 multiplies with the 3 and gives you 6. Since you have to leave the y by itself you have to subtract 10 from both sides which will leave you with -4. Since your y-intercept isn't negative you know that a isnt the ansewr.
When checking b, you multiply the 2 and -3 to get -6. Since you have to leave the y by itself, you add 10 to each side and end up with 4 which is the same number that crosses the y-axis. and that is how you know it's the right answer.
Answer:
B. y-10=2(x-3)
Step-by-step explanation:
Apex
Hope this helps Have a nice day
What is the sum of the measures of all the interior angles of a regular
octagon?
Answer:
D
Step-by-step explanation:
What is the slope of the line?
A) –2
B) –[tex]\frac{1}{2}[/tex]
C) [tex]\frac{1}{2}[/tex]
D) 2
Your answer is B) -1/2
One way of finding this answer is by using the slope equation (y2 - y1)/(x2 - x1) and substituting in the coordinates on the line. This gets you
(2 - 3)/(4 - 2) = -1/2
Another way is to find the slope by looking at the graph, and seeing that it must be negative because it slopes downwards to the right instead of up, and that it must be 1/2 because for every 1 unit you go down, you go 2 across, which means your y/x is 1/2.
I hope this helps! Let me know if you have any questions :)
which Inequality represents all possible solutions of -12d≥ -6? A.d≤ -1/2 B.d ≥ -1/2 C.d≤ 1/2 D.d≥1/2
Answer:
D. d ≥ 1/2.
Step-by-step explanation:
-12d ≥ -6
d ≥ -6/-12
d ≥ 1/2.
The Inequality represents all possible solutions of -12 d ≥ (-6) is d ≤ 1/2.
What is Inequality?Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
We have the inequality,
-12 d ≥ (-6).
Now, solving the inequality
Divide both side by 12
(-12 d )/ 12 ≥ (-6)/ 12
-d ≥ -1/2
Now, multiply both side by (-1), we get
d ≤ 1/2.
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Evaluate u + xy , for u = 2, x = 9, and y = 6.
Answer:
56
Step-by-step explanation:
After inserting the given values, u + xy becomes (2) + (9)(6), or 2 + 54, or 56.
Answer:
56
Step-by-step explanation:
2 + 9(6) = 56
in a certain linear equation, the rate of change of y with respect to x is two. write the equation if the coordinate (0,1) is a solution.
Answer:
[tex]y=2x+1[/tex]
Step-by-step explanation:
Let the linear equation be [tex]y=mx +b[/tex].
The slope of a linear equation is the same as the rate of change of that linear linear equation.
The rate of change of y with respect to x is given in the question as 2.
[tex]\implies m=2[/tex]
We substitute this slope to obtain the partial equation;
[tex]y=2x+b[/tex]
If the coordinate (0,1) is a solution, then it must satisfy this equation.
[tex]\implies 1=2(0)+b[/tex]
[tex]\implies 1=b[/tex]
The required equation is:
[tex]y=2x+1[/tex]
the equation of the line is y = 2x + 1.
The student asked for the equation of a linear function where the rate of change of y with respect to x is two, and the coordinate (0,1) is a solution. This means the slope (m) of the line is 2, and it passes through the point (0,1). The general form of a linear equation is y = mx + b, where m is the slope, and b is the y-intercept.
Since we know the slope is 2 and it passes through (0,1), we can substitute these values into the equation to find b:
1 = 2(0) + b.
So, b = 1. Therefore, the equation of the line is y = 2x + 1.
Arjun is building a frame for his father's painting. Which measurement will tell him the minimum amount of wood that he
will need to build the frame?
A.the perimeter of the painting
B.the volume of the painting
C.the width of the painting
D.the area of the painting
Answer:
A
Step-by-step explanation:
measurement will tell him the minimum amount of wood that he will need to build the frame by the perimeter of the painting
The correct option is (A).
What is Perimeter?
The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape.
As Arjun need to build the frame for the painting.
For framing or fencing we generally use the concept of Perimeter.
For example,
Let us consider an example.
David wants to put a fence around his farm so that his sheep will not wander away.
He wants to know how much wire he would need to fence around his farm.
The shape of the field is rectangular.
Now, if we add the distance of all 4 sides of his farm, it will give us the perimeter.
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Which pair of angles are corresponding angles?
Two horizontal lines cut by a diagonal transversal. Angles 2, 3, 6, and 7 are located on the left-hand side of the transversal starting from the top. Angles 1, 4, 5 and 8 are located on the right-hand side of the transversal starting at the top.
2 and 6
1 and 7
1 and 2
2 and 7
Answer:
Is there supposed to be a picture here ?
Answer:
The correct answer is first option
2 and 6
Step-by-step explanation:
The figure attached with this answer shows that AB and CD are two parallel lines. LM
To find the correct option
From the figure we can see the angles made by a traversal on AB and CD.
The corresponding angles are equal., which are,
1 and 5,
2 and 6
3 and 3
4 and 8
From the given options the correct answer is first option
2 and 6
. The temperature at noon was -2°F.
At 3:00 P.M. the temperature had
dropped by 9°F. What was the
temperature at 3:00 P.M.?
Answer:
-11 F
Step-by-step explanation:
The temperature dropping means to subtract
-2 -9
-11
The temperature at 3 pm is -11 F
Answer:-11°F
Step-by-step explanation:
If f(x)= sqrt4x+9+2, which inequality can be used to find the domain of f(x)?
Answer:
The inequality would be 4x + 9 ≥ 0
Step-by-step explanation:
You could use this inequality to solve the domain as any number can be put into this equation as long as it doesn't make what is under the square root symbol (4x + 9) negative. Therefore, you can build this inequality and solve from there if you would like.
For this case we have a function of the form [tex]y = f (x)[/tex], where:
[tex]f (x) = \sqrt {4x + 9} +2[/tex]
We must look for the domain of the function. By definition, the domain of a function is given by all the values for which the function is defined.
So, for the given function to be defined, the argument of the root must be positive, that is:
[tex]4x + 9\geq 0[/tex]
Answer:
[tex]4x + 9\geq 0[/tex]
The exponent on a when a^2 is multiplied by a^5 is
A.3 B.7 C.10
Answer:
B
Step-by-step explanation:
Add exponents when the bases are multiplied.
a^2 * a ^5
a^(2 + 5)
a^7
Answer:
B. 7
Step-by-step explanation:
The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers
The larger number is 71 and the smaller number is 19.
Two equations can be derived from the question:
x + y = 90 equation 1
x = 14 + 3y equation 2
The larger number would be represented with x and the smaller number would be represented with y.
Substitute for x in equation 1
14 + 3y + y = 90
Add similar terms
14 + 4y = 90
Make y the subject of the formula
4y = 90 - 14
4y = 76
y = 76 / 4 = 19
Substitute for y in equation 1
x + 19 = 90
x = 90 - 19
x = 71
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The sum of numbers is the addition of the numbers.
The numbers are 19 and 71
Let the two numbers be x and y, where y is greater than x.
So, we have:
[tex]\mathbf{y = 3x + 14}[/tex]
The sum of the numbers is:
[tex]\mathbf{x +y = 90}[/tex]
Substitute [tex]\mathbf{y = 3x + 14}[/tex]
[tex]\mathbf{x +3x + 14 = 90}[/tex]
[tex]\mathbf{4x + 14 = 90}[/tex]
Subtract 14 from both sides
[tex]\mathbf{4x = 76}[/tex]
Divide both sides by 4
[tex]\mathbf{x = 19}[/tex]
Substitute [tex]\mathbf{x = 19}[/tex] in [tex]\mathbf{y = 3x + 14}[/tex]
[tex]\mathbf{y = 3(19) + 14}[/tex]
[tex]\mathbf{y = 71}[/tex]
Hence, the numbers are 19 and 71
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What is the equation of the following line? Be sure to scroll down first to see all answers options
Answer:
C. y = -1/2 x
Step-by-step explanation:
Slope = (-2 - 0)/(4 - 0) = -1/2, b = 0
So
y = -1/2 x
Answer:
C
Step-by-step explanation:
By observation, we can see that the slope of the graph is negative (i.e the graph goes from top left to bottom right) hence the number attached to the x-term must be negative. We can see that E and F have positive x-terms, hence these cannot be correct.
Now we are left with A, B, C, D as possible choices.
you are given that point (4, -2) is on the line, hence when x = 4, y must = -2.
Use this knowledge to test each of A, B, C, D to see which one gives y = -2 when we try x = 4
When x = 4
A) -[tex]\frac{1}{4}[/tex] (4) = -1 ≠ -2 (wrong)
B) -2 (4) = -8 ≠ -2 (wrong)
C) -[tex]\frac{1}{2}[/tex](4) = -2 (correct)
D) -4(4) = -16 ≠ -2 (wrong)