Solve for the missing term
Answer:
Answer 1 : 120
Answer 2 : 4
Answer 3 :
Answer 4 : 60
Amswr 5 :
Sorry I didn't know the rest I hope this helps you
Find the original slope of (-6,-1) and (0,3)
Answer:
slope (m) = 2/3
Step-by-step explanation:
slope = change in x /change in y
Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:
slope = 3 - (-1) / 0 - (-6)
= 3 + 1 / 0 + 6
= 4 / 6
= 2/3
∴ slope(m) = 2/3
What are the intercepts of the graph of
the equation 4y - x = 8
Answer:
x intercept: (-8,0)
y intercept: (0,2)
What are the zeros of the quadratic equation y=5(2x−1)(x+3)?
25 feet equals how many inches
The table shows four account transactions. Find the account balance after the transactions when the account started with a balance of $55.
Answer:
90
Step-by-step explanation:
Evaluate the expression if x = - 8 , y = 7 , and z = - 11 .
- 11 - z =?
Answer:
-11 - z
(-11) - (-11)
= 0
I hope I have helped.
Select the geometric figure that correctly matches with the following formula:
A=LW
Answer:
Square because the area of a square is length times width.
The formula matches with square.
What is Geometry?A branch of mathematics that deals with the measurement, properties, and relationships of points, lines, angles, surfaces, and solids
As,
First, Area of circle = πr²
Hence, it is not possible.
Second, square
Area of square = l * b = LW
Similarly for trapezium
Area= 1/2( a+ b)* h
Hence, the formula matches with square figure.
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In rhombus LMNO, diagonals top enclose L N end enclose and top enclose M O end enclose intersect at P. If the measure of angle L P M is represented by 2x + 70. Solve for x.
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The diagonals of a rhombus cross at right angles.
2x +70 = 90
2x = 20 . . . . . . . subtract 70
x = 10 . . . . . . . . . divide by 2
PLS HELP ME !!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
All sides make a cube
Answer:
D
Step-by-step explanation:
What is the area of this figure ???????????????
78
Step-by-step explanation: just add them all
plz give brainly
Please I really need help on this one
Hello
The
Thing
Is
I
Dont
???
PLEASE HELP!!! Solve 5sin(π/3x)=3 for the four smallest positive solutions
This one's a special case of a right angled triangle with sides (3, 4, and 5 units)
Back to the problem :\(\qquad\displaystyle \tt \dashrightarrow \: 5 \sin \bigg( \frac{ \pi}{3} x \bigg) = 3\)
\(\qquad\displaystyle \tt \dashrightarrow \: \sin \bigg( \frac{ \pi}{3} x \bigg) = \frac{3}{5} \)
Now, check the triangle, sin 37° = 3/5
therefore,
\(\qquad\displaystyle \tt \dashrightarrow \: \sin \bigg( \frac{ \pi}{3} x \bigg) = \sin(37 \degree) \)
[ convert degrees on right side to radians ]
\(\qquad\displaystyle \tt \dashrightarrow \: \sin \bigg( \frac{ \pi}{3} x \bigg) = \sin \bigg(37 \degree \times \frac{ \pi}{180 \degree} \bigg ) \)
There are three more possible values as :
\(\qquad\displaystyle \tt \dashrightarrow \: \sin( \theta) = \sin(\pi - \theta) \)
\(\qquad\displaystyle \tt \dashrightarrow \: sin( \theta) = \sin \bigg( { 2\pi}{} + \theta \bigg) \)
\(\qquad\displaystyle \tt \dashrightarrow \: sin( \theta) = \sin \bigg( \frac{ 3\pi}{} - \theta\bigg) \)
Equating both, we get : First value :\(\qquad\displaystyle \tt \dashrightarrow \: \frac{ \pi}{3} x = 37 \times \frac{ \pi}{180} \)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 37 \times \frac{ \cancel \pi}{180} \times \frac{3}{ \cancel \pi} \)
\(\qquad\displaystyle \tt \dashrightarrow \: x = \frac{37}{60} \)
or in decimals :
\(\qquad\displaystyle \tt \dashrightarrow \: x = 0.616666... = 0.6167\)
[ 6 repeats at third place after decimal, till four decimal places it would be 0.6167 after rounding off ]
similarly,
Second value :\(\qquad\displaystyle \tt \dashrightarrow \: \pi - \frac{ \pi}{3} x = 37 \times \frac{ \pi}{180} \)
\(\qquad\displaystyle \tt \dashrightarrow \: \pi \bigg(1 - \frac{x}{3} \bigg ) = 37 \times \frac{ \pi}{180} \)
\(\qquad\displaystyle \tt \dashrightarrow \: 1 - \frac{x}{3} = \frac{37}{180} \)
\(\qquad\displaystyle \tt \dashrightarrow \: - \frac{x}{3} = 0.205 - 1\)
\(\qquad\displaystyle \tt \dashrightarrow \: \frac{x}{3} = 0.795\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 3 \times 0.795\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 2.385\)
Third value :\(\qquad\displaystyle \tt \dashrightarrow \: 2\pi + \frac{ \pi}{3} x = 37 \times \frac{ \pi}{180} \)
\(\qquad\displaystyle \tt \dashrightarrow \: \pi \bigg(2 + \frac{x}{3} \bigg ) = 37 \times \frac{ \pi}{180} \)
\(\qquad\displaystyle \tt \dashrightarrow \: 2 + \frac{x}{3} = \frac{37}{180} \)
\(\qquad\displaystyle \tt \dashrightarrow \: \frac{x}{3} = 0.205 - 2\)
\(\qquad\displaystyle \tt \dashrightarrow \: \frac{x}{3} = - 1.795\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 3 \times -1 .795\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = -5.385\)
Fourth value :\(\qquad\displaystyle \tt \dashrightarrow \: 3 \pi - \frac{ \pi}{3} x = 37 \times \frac{ \pi}{180} \)
\(\qquad\displaystyle \tt \dashrightarrow \: \pi \bigg(3 - \frac{x}{3} \bigg ) = 37 \times \frac{ \pi}{180} \)
\(\qquad\displaystyle \tt \dashrightarrow \: 3 - \frac{x}{3} = \frac{37}{180} \)
\(\qquad\displaystyle \tt \dashrightarrow \: - \frac{x}{3} = 0.205 - 3\)
\(\qquad\displaystyle \tt \dashrightarrow \: \frac{x}{3} = 2.795\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 3 \times 2.795\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 8.385\)
" x can have infinite number of values here with the same result, here are the four values as you requested "
I hope it was helpful ~
Find the midpoint of the line segment with the given endpoints.
(-1, 5), (6,6)
A) (-3.5, -0.5)
C) (13,7)
B) (2.5, 5.5)
D) (2,6)
The pyramid and prism above have the same triangular base and height. The volume of the pyramid is 18 cubic inches. What is the volume of the prism?
A. 36 cubic inches
B. 72 cubic inches
C. 6 cubic inches
D. 54 cubic inches
Please help me with this problem
Answer:
10
-5
Step-by-step explanation:
5 - -5
Subtracting a negative is like adding
5+5 = 10
-9 - -4
-9+4
-5
Answer:
Step-by-step explanation:
5+5 = 10
-9+4 = -5
find the equation of the quadratic ax^2 bx c that best approximates the points (0,-1), (1,1), (2,4),, (3,9) and (4,5)
The equation of the quadratic ax² + bx + c that best approximates the points is -0.4x² + 2.9x - 1
The concept of quadratic equations, which are equations that involve a squared term. In this case, we are given five points and asked to find the equation of the quadratic that best fits those points.
To start, let's write out the general equation for a quadratic:
ax² + bx + c
Here, a, b, and c are constants that we need to solve for. We know that this equation must pass through the five given points, so we can use them to form a system of five equations:
a(0)² + b(0) + c = -1
a(1)² + b(1) + c = 1
a(2)² + b(2) + c = 4
a(3)² + b(3) + c = 9
a(4)² + b(4) + c = 5
Simplifying each of these equations, we get:
c = -1
a + b + c = 1
4a + 2b + c = 4
9a + 3b + c = 9
16a + 4b + c = 5
We can use these equations to solve for a, b, and c. One way to do this is to use matrix algebra, but it's beyond the scope of this explanation. Instead, we can use a calculator or software program to solve for a, b, and c. Doing so, we get:
a = -0.4
b = 2.9
c = -1
Therefore, the equation that best approximates the given points is:
=> -0.4x² + 2.9x - 1
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Annual earnings, including bonuses, for Financial Analysts and Personal Financial Advisors, are currently following a skewed to the right distribution with a mean of $66,500 and a standard deviation of $10,500. According to the 68-95-99.7 rule, it is correct to say that (select ALL that apply):______.
a. the middle 95% of all Financial Analysts and Personal Financial Advisors make between $45.500 and $77,000 annually.
b. only 2.5% of all Financial Analysts and Personal Financial Advisors make less than $45,500 annually.
c. both of the above statements are false
Answer:
c. both of the above statements are false
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Distribution skewed to the right
This means that the Empirical Rule is not applicable, and the two statements are false, and thus, the correct answer is given by option c.
The first would be false nonetheless, but the second would be true if the distribution was normal.
Five times the product of negative four and a number
Answer:
-20x
Step-by-step explanation:
Let the number be x.
The product of -4 and this number is -4x.
5 times this is 5(-4x), which simplfiies to -20x.
find the average rate of change g(x) = 8x^2 + 8/ x^4 on the interval [-4, 2 ]
Answer:
Pretty sure the answer is x < 4, I could be wrong tho :(
Step-by-step explanation:
in a art class, there are 48 pencils to 56 crayons. what is the ratio of pincels to total written as a fraction in simplest form
Answer: 48:104
Step-by-step explanation: 48 is the amount of pencils 48+56=108 is the total
ANGELINA
Mr. Black's class sold highlighters and pens to raise money. Every highlighter cost the same amount. Every pen
cost the same amount.
. On day 1, the class made $120 and sold 80 highlighters and 20 pens.
. On day 2, the class made $200 and sold 120 highlighters and 40 pens.
What was the cost per highlighter?
$
1
4
7
0
2
5
8
per highlighter
3
6
9
The cost per highlighter is approximately $1.
To find the cost per highlighter, we can use a system of equations. Let's call the cost per highlighter "h" and the cost per pen "p". Then, we can set up two equations based on the information given;
80h + 20p = 120 (day 1)
120h + 40p = 200 (day 2)
We can simplify these equations by dividing both sides by 20;
4h + p = 6 (day 1)
6h + 2p = 10 (day 2)
Now we can use the first equation to solve for p in terms of h;
p = 6 - 4h
Substitute this expression for p into second equation;
6h + 2(6 - 4h) = 10
Simplify and solve for h;
6h + 12 - 8h = 10
-2h = -2
h = 1
Therefore, the cost per highlighter is $1.
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What are the domain and range of the function f(x)=-x+3-2? domain: -3 -2 domain: -3 -3 range: y<-2 domain: x>-3 range:y>-2
For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.
The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.
The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).
The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.
So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.
Correct option is D.
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Complete question is:
What are the domain and range of the function f(x)=-x+3-2?
A) domain: -3 -2
B) domain: -3 -3 range: y<-2
C) domain: x>-3 range:y>-2
D) domain : x>-3 range: y ≤ 2
Can anyone help???????
Answer:
BStep-by-step explanation:
The HCF ( highest common factor) of 84 and 96 is 12
option A is not possible because the outcome of 8/12 is not an integer
option C is not possible because the outcome of 45/12 is not an integer
option D is not possible because the outcome of 6/12 is not an integer
option B is possible because the the HCF of 24 and 36 is 12
A clothing designer is selecting models to walk the runway for her fashion show. The clothes she designed require each model’s height to be no more than y inches from 5 feet 10 inches, or 70 inches. Which graph could be used to determine the possible variance levels that would result in an acceptable height, x?
The graph that could be used to determine the possible variance levels that would result in an acceptable height is the third graph.
How can one depict the graph?Fron the information, the required model height for the designed clothes should be less than or equal to 5 feet 10 inches. In this case, the equation for the variance in height is of the straight line form;
y = m·x + c
Where x is the height in inches
Given that the maximum height allowable is 70 inches, when x = 0 we have;
y = m·0 + c = 70
Therefore, c = 70
Also when the variance = 0 the maximum height should be 70 which gives the x and y-intercepts as 70 and 70 respectively such that m = 1
The equation becomes;
y ≤ x + 70
Also when x > 70, we have y ≤ -x + 70 with a slope of -1
In this case, to graph an inequality, we will need to shade the area of interest which in this case of ≤ is on the lower side of the solid line.
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CAN SOMEBODY HELP ME PLEASE IM STUCK
Answer:
Step-by-step explanation:
To find the vertex from the given table look when the values of x or y start to switch the pattern. For example look at y value they get lower and lower 15,8,3,0,-1 then they get greater and greater 0, 3,8,15,24,...
So the he vertex is at (-2, -1) because here is where the pattern changed.
Y-intercept of the parabola is where the parabola intersects the y-axis so the x must be 0 there. Look in the table where is x=0 and see is at y=3.
Y-intercept point is at (0, 3)
X-intercept of the parabola is where the parabola intersects the x-axis so the y must be 0 there. Look in the table where is y = 0 and see is at x= -1 and also at x= -3.
X-intercept points are at (-1, 0) and (-3, 0)
Equation of the parabola in factored form is in general
y= (x- x intercept1)(x- x intercept 2), and for our problem is:
y = (x +1)(x +3)
The equation for the axis of symmetry is x = -2 because we have a vertical parabola (since x is squared in the equation) and the vertex is as we said previously at (-2, -1).
Dan bought a soft drink for 2 dollars and 5 candy bars. He spent
a total of 22 dollars. How much did each candy bar cost?
Answer:
4
Step-by-step explanation:
22 dolars-2 dollars from soft drink=20
20/5 candy bars=4
each candy bar costs 4 dollars
Help me pls guys. Calculate the slope using the table.
X Y
0 3
2 7
3 9
4 11
Answer:
4/2 or 2
Step-by-step explanation:
(y2-y1)/(x2-x1) is the equation for a slope
Plugging in 2 sets of numbers will get you (7-3)/(2-0)
= 4/2 or 2
Hope this helped!
Simplify the inequality:
-12.4x+8x > -0.4x-5.2-2.7
Answer:
x < 1.975Explanation:
-12.4x + 8x > -0.4x - 5.2 - 2.7
Add similar elements: -12.4x + 8x = -4.4x
-4.4x > -0.4x - 5.2 - 2.7
Subtract -5.2 - 2.7: -7.9
-4.4x > -0.4x - 7.9
Multiply both sides by 10
-4.4x · 10 > -0.4x - 7.9 · 10
Refine
-44x > -4x - 79
Add 4x to both sides
-44x + 4x > -4x - 79 + 4x
Simplify
-40x > -79
Multiply both sides by -1 (Reverse the inequality)
-40x (-1) > -79 (-1)
Simplify
40x < 79
Divide both sides by 40
40x / 40 < 79 / 40
Simplify
x < ⁷⁹⁄₄₀
Turn the fraction into a decimal
x < 1.975Question 2 (10 points) (02.05 MC) Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2). Plot triangles PQR and P′Q′R′ on your own coordinate grid. Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points) Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points) Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answer: From R:(c, d), draw line segment RA perpendicular to the x-axis. Let O denote the origin (0,0).
area ΔPQR = area trapezoid OPRA- area ΔQAR - area ΔOPQ
=
2
1
c(a+d) -
2
1
d(c−b)-
2
1
ab=
2
1
(ac+bd−ab).
If c area ΔPQR = area trapezoid OPRA + area Δ QAR - areaΔOPQ=
2
1
c(a+d)
2
1
d(b−c)−
2
1
ab=
2
1
(ac+bd−ab).
Step-by-step explanation: done