Answer:
[tex]5\sqrt{3}[/tex]
Step-by-step explanation:
I'm assuming you're asking for most simplified form?
Original Equation:
[tex]\sqrt{27} - \sqrt{12} + \sqrt{48}[/tex]
Rewrite sqrt(27) using the exponent property: [tex]\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}[/tex]
[tex]\sqrt{9} * \sqrt{3} -\sqrt{12} + \sqrt{48}[/tex]
Simplify sqrt(9)
[tex]3\sqrt{3} -\sqrt{12} + \sqrt{48}[/tex]
Rewrite the radical sqrt(12)
[tex]3\sqrt{3} -\sqrt{4}\sqrt{3} + \sqrt{48}[/tex]
Simplify sqrt(2)
[tex]3 \sqrt{3} -2\sqrt{3} + \sqrt{48}[/tex]
Rewrite the radical sqrt(48)
[tex]3\sqrt{3} -2\sqrt{3} + \sqrt{16}\sqrt{3}[/tex]
Simplify the sqrt(16)
[tex]3\sqrt{3} -2\sqrt{3} + 4\sqrt{3}[/tex]
You can think of sqrt(3) as x, in which case you have 3x - 2x + 4x, so you just add the coefficients and leave the sqrt(3) alone.
Subtract 2 from 3
[tex]1\sqrt{3} + 4\sqrt{3}[/tex]
Add 1 and 4
[tex]5\sqrt{3}[/tex]
Which answer choice gives the correct surface area for a triangular prism
with bases that are 4 cm² and sides that are 4 cm²?
Answer:
The answer is 20
Step-by-step explanation:
Their are two bases and three sides in a triangular prism so the total surface area is 20
when x equals 12 , x+3y=21 need help
Answer:
y=3
Step-by-step explanation:
please help me im stuck here U_U
Using the inverse function concept, the table that represents the inverse of the table given is table a.
How to find the inverse of a function of pairs (x,y)?The inverse of the function is given by the set that contains point (y,x), that is, the coordinates are exchanged.
In the table given, we have points (0,0), (2,1) and (4,2), hence the inverse table has points (0,0), (1,2) and (2,4), which is table a.
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determine the graph of the polar equation 9/1-3sin theta
Answer: can you show us the graph?
Step-by-step explanation:
g Minimizing the sum of the squared deviations around the line is called: predictor regression. mean squared error technique. least squares estimation. double smoothing. mean absolute deviation.
Minimizing the sum of the squared deviations around the line is called Least square estimation.
It is given that the sum of squares is around the line.
Least squares estimations minimize the sum of squared deviations around the estimated regression function. It is between observed data, on the one hand, and their expected values on the other. This is called least squares estimation because it gives the least value for the sum of squared errors. Finding the best estimates of the coefficients is often called “fitting” the model to the data, or sometimes “learning” or “training” the model.
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Tim had 15 dollars. Paul had 6 dollars more than Tim. Rick had double Tim’s money. How much did they have ALTOGETHER?
Answer:
66 dollars
Step-by-step explanation:
15+6=22
15×2=30
15+22+30=66
Answer:
Tim had 15 dollars. Paul had 6 dollars more than Tim. Rick had double Tim’s money. How much did they have ALTOGETHER is 66 dollars.
Step-by-step explanation:
→ Is know :
Tim's money = 15 dolars Paul's money = 15 dolars + 6 dollarsRick's money = 2 × 15 dolars→ Asked :
How much did they have ALTOGETHER ?
→ Solution :
[tex] \bf{x =Tim's \: \: money + Paul's \: \: money + Rick's \: \: money }[/tex]
[tex]\bf{x =15 + (15 + 6) + (2 \times 15) }[/tex]
[tex]\bf{x =15 + 21 + 30 }[/tex]
[tex]\bf{x =36 + 30 }[/tex]
[tex]\bf{x =66 \: \: dollars }[/tex]
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One-third of the class grew peas, one-third grew carrots, and one-third grew beans. The class consisted of 63 students of which five-sevenths were girls. The teacher chose the three groups to be as equal in their boy-girl composition as possible. How many boys and girls were assigned to each team?
The number of boys and girls assigned to each team is 6 and 15 respectively.
FractionNumber of students in class = 63 Number of students who grows peas = 1/3 × 63= 63/3
= 21 students
Number of students who grows carrots = 21Number of students who grows beans = 21Number of girls = 5/7 × 63
= 315/7
Number of girls = 45 students
Number of boys = 63 - 45 = 18 students
If the three groups have equal composition of boys and girls, then,
Number of boys and girls in each group is 6 and 15 respectively.
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find the value of p in the given figure
The value of p is 60°
How to determine the valueThe figure given is a triangle and it is important to note that sum of angles in a triangle = 180 degrees
The other sides are gotten by;
Angle on a straight line = 180
110 + x = 180
x = 180 - 110
x = 70
The other interior angle
130 + y = 180
y = 180 - 130
y = 50
We have,
x + y + p = 180
70 + 50 + p = 180
120 + p = 180
p = 180 -120
p = 60°
Thus, the value of p is 60°
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What is the multiplicative rate of change for the exponential function graphed to the left?
Hence, the function increases at a constant multiplicative rate..
What is a function?function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). A function has three parts, a set of inputs, a set of outputs, and a rule that relates the elements of the set of inputs to the elements of the set of outputs in such a way that each input is assigned exactly one output.
How to solve?We know,
the answer is (B) the function increases at a constant multiplicative rate.
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50 more points
sdadadada
Switch the variable x and y with each other. Then the correct option is B.
What is inverse of a function?Let the function will be
f: X → Y
Then the inverse function will be
f⁻¹: Y → X
The function is given below.
f(x) = 3x – 10
Then the inverse function of the f(x) will be
Put y in place of f(x).
x = 3y – 10
3y = x + 10
y = (x + 10) / 3
Switch the variable x and y with each other.
Then the correct option is B.
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Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining.
A 2-column table with 4 rows. The first column is labeled x with entries 0, 0.5, 1, 1.5. The second column is labeled y with entries 40, 39.25, 38.5, 37.75.
What is the range of this function?
The range of this function is all real numbers such that 0 ≤ y ≤ 40.
What is a range?A range is the set of all real numbers that connects with the elements of a domain. This simply means that, a range is the solution set on the y-axis.
How to determine the range?Based on the table (see attachment), we can logically deduce that when the time (x) is zero (0), the amount of water remaining in the bathtub (y) is 40.
Therefore, the range of this function is all real numbers such that 0 ≤ y ≤ 40.
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Solve for m. 10m = 1
m = 0
m = 1
m = 2
m = 3
Answer:
wouldn't it be 0.1
Step-by-step explanation:
25) lan bikes 18 mph for 15 miles. Which is true? a. lan rode exactly 1 hour b. lan rode more than 1 hour C. lan rode less than 1 hour
Answer:
C. Ian rode less than 1 hour
Step-by-step explanation:
It never hurts to think about what the problem statement is telling you. Ian rode at a speed that would take him 18 miles in 1 hour.
InterpretationClearly, Ian would pass the 15-mile mark in a 1-hour ride before an hour had elapsed. If he only rode 15 miles, he rode less than 1 hour.
The actual time Ian rode is given by the relation between speed, time, and distance.
time = distance/speed
time = (15 mi)/(18 mi/h) = (15/18) h = 5/6 h
Ian's riding time was 5/6 of an hour, which is less than 1 hour.
X
-3
-2
Intro
-1
0
1
2
3
f(x)
-15
0
3
0
-3
O
15
Predict which statements are true about the intervals of
the continuous function. Check all that apply.
Of(x) > 0 over the interval (-3).
Of(x) ≤0 over the interval [0, 2].
Of(x) <0 over the interval (-1, 1).
Of(x) > 0 over the interval (-2, 0).
f(x) ≥ 0 over the interval [2, ..).
Done
Answer: B, D, E
Step-by-step explanation:
Statement 1 cannot be true because f(1)<0.
Statement 2 might be true.
Statement 3 cannot be true because if f is continuous, then for some value between -1 and 0, f(x) is positive by the Intermediate Value Theorem.
Statement 4 might be true.
Statement 5 might be true
Dalinda spins a spinner 60 times. the table shows her data.
spinner
results
color spins
red
10
blue
30
yellow
15
green
5
dalinda will spin one more time,
based on her data, what is the probability that the pointer will land on blue?
od. 110
o e
10 a 1
o b. 1 / 3
o c. 1 /
The answer is 1/2 .
What is probability ?The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes. The chance that a given event will occur. The number of ways of achieving success. the total number of possible outcomes.In given question ,
Dalinda spins a spinner = 60 times.
blue = 30
The probability that the pointer will land on blue = 30 / 60 ⇒ 1/2
Therefore, the answer is 1/2 .
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It’s is already stated on the picture.
Answer:
radius = 5
Step-by-step explanation:
Since the line is a tangent, that means the PT and OP are perpendicular (they make a right angle) Sooo, the triangle is a right triangle. Use Pythagorean Theorem to calculate or Pythagorean Triples for a shortcut (5, 12, 13)
r^2 + 12^2 = 13^2
r^2 + 144 = 169
Subtract 144
r^2 = 25
Squareroot both sides.
sqrt(r^2) = sqrt25
r = 5
The radius is 5.
Is this right or wrong
Answer:
∠C and ∠F are right angles
Step-by-step explanation:
To prove that two triangles are congruent using HL, one must have:
a right angle congruent,a leg congruent, and the hypotenuse (the side across from the right angle) congruent.For this problem, there are two sides of the triangle already congruent: one could be the hypotenuse (if the right angle were across from it), and the other congruent side could be a leg. So, if we can prove either that angles C & F are right angles, or that angles A & D are right angles, that would be enough to use HL congruence.
Hence, from the answer choices provided, proving that angle C and angle F are both right angles would be sufficient to prove the triangles are congruent via HL congruence.
Side note: Proving angles B and E would not be enough to use HL congruence, because the hypotenuse is always across from the right angle. So, if angle B were a right angle, it would mean that side AC was the hypotenuse (which hadn't yet been proven or stated to be congruent).
While not enough to prove triangle congruence via HL, if angle B and E were congruent at all (right angles or not), it would be enough to prove that the triangles were congruent by SAS (side-angle-side) because it would have proven that two sides and the included angle were congruent.
I need help plsssssssss
For the given system of equation, the value of x = 4 and the value of y = -1
Solving simultaneous equationsFrom the question, we are to solve the given system of equations
-7x + 4y = -32 -------- (1)
9x - 2y = 38 -------- (2)
From equation (2)
9x - 2y = 38
2y = 9x - 38
y = 4.5x - 19 -------- (3)
Substitute this into equation (1)
-7x + 4y = -32
-7x + 4(4.5x -19) = -32
-7x + 18x - 76 = -32
-7x + 18x = -32 + 76
11x = 44
x = 44/11
x = 4
Substitute the value of x into equation (3)
y = 4.5x - 19
y = 4.5(4) - 19
y = 18 - 19
y = -1
Hence, the value of x = 4 and the value of y = -1
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3. how would you use concrete objects to represent and solve the following problem: what is 30% of $60?
Answer:
adding
Step-by-step explanation:
What is the slope of the graphs and the equation?
Answer:
The slope formula is used to find the slope of a line that joins two points (x₁, y₁) and (x₂, y₂). Using this formula, the slope of the line is, m = (y₂ - y₁) / (x₂ - x₁). We can use the same formula to find the slope of a line from its graph also.
This is a linear equations question so pls help me I’m dying of stress thank you! ^^
Answer:
the answer to this problem is D:(-2,4)(1,1)
Answer:
B
Step-by-step explanation:
y = x² → (1)
y = 3x - 2 → (2)
substitute y = x² into (2)
x² = 3x - 2 ← subtract 3x - 2 from both sides
x² - 3x + 2 = 0 ← in standard form
(x - 1)(x - 2) = 0 ← in factored form
equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 2 = 0 ⇒ x = 2
substitute these values into (2) for corresponding values of y
x = 1 : y = 3(1) - 2 = 3 - 2 = 1 ⇒ (1, 1 )
x = 2 : y = 3(2) - 2 = 6 - 2 = 4 ⇒ (2, 4 )
In part b, you used a combination of geogebra tools and manual calculations to find the approximate area of the original polygon. now try using the more advanced area tools in geogebra to verify your answer in part b. which method did you choose? do your results in parts b and c match?
Absolutely, over result will match in part b and c
Geogebra tools are software which is used to study an absolute geometry with zero errors.
Since, Geogebra contains various tools, In part b we have drawn a square through polygon command. Its allows to select the number of sides, so we select 4 cause square requires 4 equal sides.
Now, we very it in c part just by drawing a 4 connected lines which have 90° adjacent angles.
Here, by comparing their geometry it seems identical
Thus, the result, in part b and c matches for each other.
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Which of the following ordered pairs is a possible solution to the equation y = -2/3x - 4
The ordered pair that is the possible solution for the equation is (-6,0) (0,-4).
What is the Slope-intercept form of a linear equation?
The slope-intercept form of a linear equation takes the form y= mx + b.
Here:
Slope = mb = y-interceptThe function f(x) = y = [tex]\mathbf{-\dfrac{2}{3}x-4}[/tex]
[tex]\mathbf{y = -\dfrac{2}{3}x-4}[/tex]
The slope (m) = -2/3
The x-intercept is the value of x for which y = 0
x-intercept = (-6,0)The y-intercept is the value of y for which x = 0
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Classify the following triangle. Check all that apply
Answer:
E. Isosceles Triangle
Step-by-step explanation:
It is because it has 2 equal sides and 2 equal angles.
Two points have the coordinates P (6, -3,9) and Q (3, -6, -3). A point R divides line PQ internally in the ratio 1:2. The position vectors of P, Q and Rare p, q and r respectively.
(a) Express the position vector of p and q.
i. In terms of p and q.
ii. In terms of i, j and k
(b) Hence state the coordinates of R.
(a) i. See comment...
(a) ii. We have
[tex]\vec p = 6\,\vec\imath - 3\,\vec\jmath + 9\,\vec k[/tex]
and
[tex]\vec q = 3\,\vec\imath - 6\,\vec\jmath - 3\,\vec k[/tex]
(b) We can parameterize the line segment from P to Q by the vector function
[tex]\vec r(t) = (1-t) \vec p + t \vec q = (6-3t) \, \vec\imath + (-3-3t) \,\vec\jmath + (9-6t) \,\vec k[/tex]
with [tex]0\le t\le1[/tex]. The point R is located 1/3 of the way along this line segment, i.e. at [tex]t=\frac13[/tex], so its position vector is
[tex]\vec r\left(\dfrac13\right) = 5\,\vec\imath -4\,\vec\jmath + 7\,\vec k[/tex]
and hence its coordinates are [tex]\boxed{(5,-4,7)}[/tex].
IN
A graph of two functions is shown below:
g(x)
f(x)
Ox=1
Which of the following is an approximate solution for f(x) = g(x)?
Ox=-1
Ox=-4
Ox=2
62.5
45
37.5
30
225
15
-15
225-
-30
Hello,
Answer: We have f(x) = g(x) when x ≈ 1
(a) x = 1, is an approximate solution for f(x) = g(x).
Here, we have,
given that,
A graph of two functions is shown
f(x) and, g(x)
now, we have,
The graph has two functions, which are f(x) and g(x) and a graph.
In the graph, we can follow their intersections.
Those would be the parts of the line that would make the functions to have the same value.
The first intersection is really close to 1,
and second is very unclear, most likely beyond -2.5.
Since the highest number is 1 and the intersection is very close to 1,
we have to go with the approximate answer.
We have f(x) = g(x) when x ≈ 1.
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A (not necessarily convex) 11-sided polygon can have at most how many reflex interior angles?
The value for each interior angle in the polygon will be 147.27°.
How to calculate the interior angles?The total angles in the 11 sided polygon will be:
= (n - 2) × 180
= (11 - 2) × 180
= 9 × 180°
= 1620°
Each angle will be:
= 1620°/11
= 147.27°
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can you please solve 2x+29+3x - 4
Answer:
5x + 25
Step-by-step explanation:
2x+29+3x+4
Step 1: Arrange it:- 2x+3x+29-4
Step 2:- Add and Subtract the terms:- 5x + 25
HOPE IT HELPS!
Hey there!
EQUATION:
2x + 29 + 3x - 4
COMBINE the LIKE TERMS
(2x + 3x) + (29 - 4)
2x + 3x + 29 - 4
SIMPLIFY IT!
5x + 25
Therefore, your answer should be:
5x + 25
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
On a coordinate plane, a line is drawn from point A to point B. Point A is at (negative 4, 8) and point B is at (2, negative 4).
What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary.
x =
y =
The x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10 is; (-2.6, 5.2)
How to find coordinate points?
The coordinate of the points are given as:
A(-4, 8)
B(2, -4)
Ratio of partition is given as; 3:10
Now, the point at the given ratio is calculated from the formula;
C = [(mx2 + nx1)/(m + n)], [(my2 + ny1)/(m + n)]
Thus;
C = [(3*2 + 10*-4)/(3 + 10)], [(3*-4 + 10*8)/(3 + 2)]
C = (-34/13, 68/13)
C = (-2.6, 5.2)
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Answer:
-2.6, 5.2
Step-by-step explanation:
Ashley and Castel each improved their yards by planting daylilies and ornamental grass. They
bought their supplies from the same store. Ashley spent $118 on 2 daylilies and 14 bunches of
ornamental grass. Castel spent $98 on 14 daylilies and 7 bunches of ornamental grass. What is the
of one daylily and the cost of one bunch of ornamental grass? Also could you show work
Each daylily cost $3 and one bunch of ornamental grass cost $8.
Build two equation's: (Let 'd' be daylilies, 'o' be ornamental grass)
$118 on 2 daylilies and 14 bunches of ornamental grass.
2d + 14o = 118$98 on 14 daylilies and 7 bunches of ornamental grass.
14d + 7o = 98Make d subject for first equation.
2d + 14o = 118
2d = 118 - 14o
d = (118 - 14o)/2
d = 59 - 7o
Insert this into second equation.
14(59 - 7o) + 7o = 98
826 - 98o + 7o = 98
-91o = -728
o = 8
Find value of d:
d = 59 - 7o
d = 59 - 7(8)
d = 3
Answer:
Cost of one daylily = $3
Cost of one bunch of ornamental grass = $8
Step-by-step explanation:
Define the variables:
Let d = cost of one daylily (in dollars)Let g = cost of one bunch of ornamental grass (in dollars)Given information:
$118 = 2 daylilies and 14 bunches of ornamental grass$98 = 14 daylilies and 7 bunches of ornamental grassCreate a system of equations with the given information and defined variables:
[tex]\begin{cases}2d+14g=118\\14d+7g=98 \end{cases}[/tex]
Multiply the second equation by 2:
[tex]\implies 2(14d+7g)=2(98)[/tex]
[tex]\implies 28d+14g=196[/tex]
Subtract the first equation from this equation to eliminate the variable g:
[tex]\begin{array}{r r r}28d & +14g = & 196\\- \quad \quad2d & +14g = & 118\\\cline{1-3}26d & = & 78\end{array}[/tex]
Solve for d:
[tex]\implies 26d=78[/tex]
[tex]\implies d=3[/tex]
Substitute the found value of d into one of the equations and solve for g:
[tex]\implies 2d+14g=118[/tex]
[tex]\implies 2(3)+14g=118[/tex]
[tex]\implies 6+14g=118[/tex]
[tex]\implies 14g=112[/tex]
[tex]\implies g=8[/tex]
Therefore, the cost of one of each plant is:
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