It is two minutes past nine
Which statement is necessarily true if is an altitude to the hypotenuse of right ? A. ≅ B. C. D. ∠BAC ≅ ∠BDC
Answer:
Step-by-step explanation:
Solve for x. Round to one decimal place.
I keep messing this one up and im timed
Answer:
x ≈ 16.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 70°
Opposite Leg = x
Adjacent Leg = 6
Step 2: Solve for x
Substitute in variables [tangent]: tan70° = x/6[Multiplication Property of Equality] Multiply 6 on both sides: 6tan70° = xRewrite: x = 6tan70°Evaluate: x = 16.4849Round: x ≈ 16.5can you help me with these questions
Answer:
Girls: 50
Boys: 36
A) 60°
Step-by-step explanation:
86-14=72
72÷2=36
Girls=36+14=50
Boys=36
115+115+70=300
360-300=60°
Answer:
36 boys and 50 girls
the remaining angle measures 60°
Step-by-step explanation:
x = boy count
x + 14 = girl
x + x + 14 = 86
2x + 14 = 86
2x = 72
x = 36
x + 14 = 50
36 boys and 50 girls
the 4 angles of a quadrilateral = 360°
115° + 115° + 70° + x = 360°
300 + x = 360°
x = 360 - 300
x = 60°
The remaining angle measures 60°
What is the inverse of the function below?
f(x) = -2
2.
O A F'(x) = 3(x+2)
OB. F'(x) = 2(x+3)
c. f'() = 3(x - 2)
D. F'(x) = 2(x - 3)
find the perimeter, halla el perimetro
Answer:
28 cm
Step-by-step explanation:
The perimeter (P) is the sum of the sides
P = LE + EF + ( FG + HI + JK ) + ( GH + IJ + KL )
= 8 + 6 + 8 + 6
= 28 cm
The weight Wkg of a metal bar varies jointly as it's length L and the square of it's diameter D mm. If W=140 when D =4 and L=54, find D interm of W and L
Answer:
D = [tex]\sqrt{\frac{216W}{35L} }[/tex]
Step-by-step explanation:
From the given question, the expression showing the relationship among the weight, length and diameter of the metal bar is;
W [tex]\alpha[/tex] L[tex]D^{2}[/tex]
W = kL[tex]D^{2}[/tex]
where k is the constant of proportionality.
When W = 140, D = 4 and L = 54, then;
140 = k(54)[tex](4)^{2}[/tex]
= 864k
k = [tex]\frac{140}{864}[/tex]
= [tex]\frac{35}{216}[/tex]
k = [tex]\frac{35}{216}[/tex]
⇒ W = [tex]\frac{35LD^{2} }{216}[/tex]
So that;
35L[tex]D^{2}[/tex] = 216W
[tex]D^{2}[/tex] = [tex]\frac{216W}{35L}[/tex]
D = [tex]\sqrt{\frac{216W}{35L} }[/tex]
Sketch the graph of y = (x + 3)2 – 4 and identify the axis of symmetry.
Answer: Thought I’d return the favor and help u with this question! But anyways, the axis of symmetry is at x = -3.
Explanatio: This can be found by looking at the basic form of vertex form:
y = (x - h)^2 + k
In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).
It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3
i hope this helps u
The masses to the nearest kilogram of nine men were:
75, 68, 78, 82, 85, 90, 88, 92, 76.
Calculate the mean mass
Answer:
82 kg
Step-by-step explanation:
To find the mean of a set of values, we must add them up and divide by the number of values.
Step 1, adding the values:
[tex]75+68+78+82+85+90+88+92+76=\\734[/tex]
Step 2, dividing by the # of terms:
There are 9 terms in total.
[tex]\frac{734}{9} =\\81.556[/tex]
To the nearest kilogram, we can round 81.556 into 82.
The mean mass of the 9 men was [tex]\fbox{82}[/tex] kg.
I hope this helps! Let me know if you have any questions :)
Find the missing side!!
Answer:
the answer to the question is 12cm
Please help me it urgent i need help i beg you guys!
Solve for y in the first equation.
Which polynomial correctly combines the like term and express the given polynomial in standard form
Answer:
[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]
Step-by-step explanation:
Given
[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3[/tex]
Required
Correctly combine the like terms
We have:
[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3[/tex]
Collect like terms (in decreasing degrees of m)
[tex]- 2m^6 - 4m^6 - mn^5- m^3n^3 - 4m^3n^3+ 5m^2n^4 + 9m^2n^4 + 8mn^5 + n^6[/tex]
[tex]-6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]
So:
[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]
The histogram represents the distributions of essay scores for high school sophomores and juniors in a contest. Which statements are true about the data used to create the histogram? Select three options.
Question options:
A. The mean is the best comparison of the measures of center.
B. The juniors tended to have higher essay scores than the sophomores.
C. The medians of both data sets are equal.
D. The interquartile range is the best comparison of the measure of variability.
E. A histogram is the best way to show that both distributions are nearly symmetric.
Answer:
B. The juniors tended to have higher essay scores than the sophomores.
C. The medians of both data sets are equal.
E. A histogram is the best way to show that both distributions are nearly symmetric.
Explanation:
A histogram is used to represent data in a bar graph like manner. In a histogram, the bars lie along the x axis, each within the range of intervals while the y axis is used to count the frequency of occurrence that determines the area of each bar in the graph. Using a histogram, we can find B, C, and E from the options given above.
did I do this right??
Answer:
yes.
Step-by-step explanation:
it is correct
Answer: Yes, this is correct.
Solve the system of equations.
3x + 4y + z = 3
4x + 3y + 32 - 4
5x+67+72-5
Answer:
First, we write the augmented matrix.
⎡
⎢
⎣
1
−
1
1
2
3
−
1
3
−
2
−
9
|
8
−
2
9
⎤
⎥
⎦
[1−1123−13−2−9 | 8−29]
Next, we perform row operations to obtain row-echelon form.
−
2
R
1
+
R
2
=
R
2
→
⎡
⎢
⎣
1
−
1
1
0
5
−
3
3
−
2
−
9
|
8
−
18
9
⎤
⎥
⎦
−
3
R
1
+
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
5
−
3
0
1
−
12
|
8
−
18
−
15
⎤
⎥
⎦
−2R1+R2=R2→[1−1105−33−2−9|8−189]−3R1+R3=R3→[1−1105−301−12|8−18−15]
The easiest way to obtain a 1 in row 2 of column 1 is to interchange
\displaystyle {R}_{2}
R 2
and
\displaystyle {R}_{3}
R 3
.
Interchange
R
2
and
R
3
→
⎡
⎢
⎣
1
−
1
1
8
0
1
−
12
−
15
0
5
−
3
−
18
⎤
⎥
⎦
InterchangeR2andR3→[1−11801−12−1505−3−18]
Then
−
5
R
2
+
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
1
−
12
0
0
57
|
8
−
15
57
⎤
⎥
⎦
−
1
57
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
1
−
12
0
0
1
|
8
−
15
1
⎤
⎥
⎦
−5R2+R3=R3→[1−1101−120057|8−1557]−157R3=R3→[1−1101−12001|8−151]
The last matrix represents the equivalent system.
x
−
y
+
z
=
8
y
−
12
z
=
−
15
z
=
1
x−y+z=8 y−12z=−15 z=1
Using back-substitution, we obtain the solution as
\displaystyle \left(4,-3,1\right)
(4,−3,1)
x^(2)-2x+7 I need to find Find the vertex and the axis of symmetry.
Answer:
Vertex: (1, 6)
Axis of symmetry: x = 1
Step-by-step explanation:
If the profit is the difference between the revenue and the cost, what expression represents the profit? 3x – 260 3x + 140 5x – 260 5x + 140
Answer:
[tex]P =5x-260[/tex]
Step-by-step explanation:
Given
[tex]R = 3x^2 + 4x - 60[/tex] --- Revenue
[tex]C = 3x^2 - x + 200[/tex] --- Cost
Required
The expression for profit (P)
This is calculated as:
[tex]P =R - C[/tex]
So, we have:
[tex]P =3x^2 + 4x - 60 - (3x^2 -x+200)[/tex]
Open bracket
[tex]P =3x^2 + 4x - 60 - 3x^2 +x-200[/tex]
Collect like terms
[tex]P =3x^2 - 3x^2+ 4x +x- 60-200[/tex]
[tex]P =5x-260[/tex]
If the profit is the difference between the revenue and the cost, 5x – 260 expression represents the profit. Correct option is 3.
The profit is calculated by subtracting the cost from the revenue. In mathematical terms, the profit (P) can be represented as:
Profit (P) = Revenue - Cost
Among the given options:
1. 3x - 260
2. 3x + 140
3. 5x - 260
4. 5x + 140
We need an expression where the first term represents the revenue and the second term represents the cost, so that when we subtract the cost from the revenue, we get the profit.
Option 3, 5x - 260, fits this pattern:
- Revenue: 5x
- Cost: 260
When we subtract the cost from the revenue:
Profit (P) = Revenue - Cost = 5x - 260
So, option 3, 5x - 260, is the expression that represents the profit.
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Complete question is:
If the profit is the difference between the revenue and the cost, what expression represents the profit?
1. 3x – 260
2. 3x + 140
3. 5x – 260
4. 5x + 140
What is the measure of
Answer:
PRQ = 86 degrees
1 centimeter = 3 meters. A rectangle with length 7 centimeters and width 1.75 centimeters.
Gabriel planned a vegetable garden. Use the scale and the scale drawing to complete the following statements.
The length of the garden is
meters.
The width of the garden is
meters.
If the scale changes to 1 cm : 9 meters, the new length of the garden is
meters and the new width of the garden is
meters.
The new length of the garden is
times as long as the original length of the garden.
Answer:
The length if the garden is 21 meters.
The width of the garden is 5.25 meters.
If the scale changes to 1 cm : 9 meters, the new length of the garden is 63 meters and the new width of the garden is 15.75 meters.
The new length of the garden is 3 times as long as the original length of the garden.
Answer:
D/4 - 21
C/3 - 5.25
D/4 - 63
C/3 - 15.75
B/2 - 3
Step-by-step explanation:
Name the marked angle in 2 different ways.
1) angle HJI
2) angle IJH
Which of the following graphs is described by the function given below?
y = 2x2 + 6x + 3
Answer: Graph A
Step-by-step explanation:
Consider the sequence 2/4, 3/5, 4/6, 5/7,... Which statement describes the sequence?
The sequence diverges.
The sequence converges to 0.
The sequence converges to 1.
The sequence converges to [infinity].
Answer:
The sequence converges to 1.
Step-by-step explanation:
Sequence 2/4, 3/5, 4/6, 5/7
This sequence can be summarized as:
[tex]\sum_{n=0}^{\infty} \frac{n+2}{n+4}[/tex]
To test if it converges, we can calculate the limite of [tex]\frac{n+2}{n+4}[/tex] as n goes to infinite.
Limit:
[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4}[/tex]
Considering only the terms with the highest exponent in the numerator and the denominator:
[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4} = \lim_{n \rightarrow \infty} \frac{n}{n} = \lim_{n \rightarrow \infty} 1 = 1[/tex]
Thus, the sequences converges to 1.
Two miles away from home, she had to walk the remaining four miles. She had to walk all the way back home. How many more miles did she walk than she rode?
Answer:
Distance rode = 6 miles
Step-by-step explanation:
distance from home = 2 miles
remaining distance = 4 miles
The distance rode = 4 + 2 = 6 miles
Can someone help me? It's urgent and thank you!
Answer:
1
----------
x+1
Step-by-step explanation:
2x+12
----------------
2x^2 + 14x+12
Factor
2(x+6)
-------------------
2(x^2+7x+6)
2(x+6)
--------------
2(x+6)(x+1)
Cancel like terms
1
-------------
(x+1)
Question 1 of 10
Look at this table.
Hours of
Training
10
20
30
40
50
60
70
Monthly
Pay
1250
1400
1550
1700
1850
2000
2150
According to the table, how many hours of training would you
need to have a monthly pay of $2450?
Answer:
90 hours of training would you need to pay
Answer:
90hours
Step-by-step explanation:
Addition of 10 hours= Addition of 150$
an=a+(n-1)d
2450=1250+(n-1)(150)
120/15=n-1
8+1=n
n=9
and 9x10=90 (each n=10hours)
Thus:
B. 90 hours
Brianliest please
Not super urgent but need this simplified..
Answer:
bottom ans , because a⁶+a¹ = a⁷
also (•) this symbols related to x (times/multiply) and x is consider as +
Solve the following problem. It may be helpful to use a chart on scrap paper to organize the information and write the equation. Be sure to show all steps (V.E.S.T.) and work in order to receive full credit.
A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for $3.29 per pound. If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?
Answer:
If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?
Step-by-step explanation:
Weegy: x + y = 1 (we want one pound total) 5.60 * x + 2.30 * y = 3.29 (we want 3.29 per pound) Answer: x = . 3, y = . 7 per one pound To get 10 pounds: cashews - 10x = 3 pounds, peanuts - 10y = 7 pounds.Three siblings are doing their washing and hanging all the items on the washing line.
On each line there is a shirt, a jumper and a towel. Each one has one spotted, one plain and one striped item, BUT none of them has the same item in the same design as their sibling. Sandra’s jumper is the same design as Paul’s towel and Paul’s jumper is the same design as Kerry’s towel. Kerry’s jumper is stripped and Sandra’s shirt is spotted.
a) Who has a striped shirt?
b) What design is Paul’s towel?
c) Who has a spotted jumper?
Answer:
A.) Paul
B.) Plain
C.) Paul
Step-by-step explanation:
Paul: Shirt - Striped; Jumper - Spotted; Towel - Plain
Kerry: Shirt - Plain; Jumper - Striped; Towel - Spotted
Sandra: Shirt - Spotted; Jumper - Plain; Towel - Striped
Hope this helps! Have a nice dayy! :)
Find the area of the trapezoid. Leave your answer in simplest radical form.
Answer:
[tex]Area = 52\sqrt3 \ ft^2[/tex]
Step-by-step explanation:
Area of trapezoid
[tex](\frac{a+ b}{2}) \times h[/tex] -----------( 1 )
We will split the trapezoid into Triangle and rectangle. To find the height and full length of base.
[tex]sin 60 = \frac{opposite}{hypotenuse}[/tex] [tex][ opposite \ in \ the \ equation \ \ is \ the \ height \ of \ the \ trapezoid ][/tex]
[tex]\frac{\sqrt3}{2} = \frac{opposite }{ 8}\\\\\frac{\sqrt3}{2} \times 8 = opposite\\\\4\sqrt3 = opposite[/tex]
Therefore, h = 4√3 ft
[tex]cos 60 = \frac{adjacent}{hypotenuse}[/tex] [tex]adjacent \ in \ the\ equation \ is \ the\ base \ of \ the \ triangle ][/tex]
[tex]\frac{1}{2} = \frac{adjacent}{hypotenuse}\\\\\frac{1}{2} \times 8 = adjacent\\\\4 = adjacent[/tex]
Therefore, a = 11 feet, b = 11 + 4 = 15 feet
Substitute the values in the Area equation :
[tex]Area = \frac{11 + 15}{2} \times 4 \sqrt3 = \frac{26}{2} \times 4\sqrt3 = 13 \times 4\sqrt3=52\sqrt3 \ ft^2[/tex]
What is the slope of the line that is parallel to the given line and passes through the given point?
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?
What is the y-intercept of the line that is parallel to the given line and passes through the given point?
Answer:
What is the slope of the line that is parallel to the given line and passes through the given point?
-1/4
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?
y + 4 = -1/4(x + 2)
What is the y-intercept of the line that is parallel to the given line and passes through the given point?
-9/2
Step-by-step explanation:
Good lcuk for anyone who needs this<3
The equation of the line in point slope for is expressed as [tex]y - 2 = 3/2(x - 2)[/tex]
Since the line cross the y-axis at -1, hence the y-intercept of the line that is parallel to the given line and passes through the given point is (0, -1)
Equation of a line in point-slope form?The equation of a line in point-slope form is expressed as:
y - y0 = m(x - x0)
m is the slope
(x0, y0) is any point on the line
Using the coordinate points (2, 2) and (-2, -4)
Determine the slope
Slope = -4-2/-2-2
Slope = -6/-4
Slope = 3/2
Using the point (2, 2), the equation of the line in point slope for is expressed as:
[tex]y - 2 = 3/2(x - 2)[/tex]
Since the line cross the y-axis at -1, hence the y-intercept of the line that is parallel to the given line and passes through the given point is (0, -1)
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A factory puts 2,000 picture frames in each shipment. How many picture frames will the
factory put in 2 shipments?
picture frames
