Answer:
$ 224
Step-by-step explanation:
1 yd = 3 ft
16ft = 16/3 yd
18ft = 18/3 yd = 6 yd
A = 16/3 × 6 yd = 32 yd²
1 yd² .............. $7
32 yd² ...........$x
x = 32×7/1 = $ 224
Given fx) = 10– 2x, find (7).
оооо
7
56
Answer:
Substitute the value of 7 into the variable x. Then solve the equation.
f(7) = 10 - 2(7)
f(7) = 10 - 14
f(7) = -4 is the answer.x/11 = -12
please help!!!
Answer:
x= -132
Step-by-step explanation:
Answer:
[tex]x=-132[/tex]
Step-by-step explanation:
[tex]\frac{x}{11}=-12\\ \\x=-12*11\\\\x=-132[/tex]
What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?
y=x+1
3x + 2y = 24
3x + 2y = 6
2x - 3y = 42
2x - 3y = -48
Help plsss
Answer:
[tex]3y + x = -6[/tex]
Step-by-step explanation:
Given
y = 3x + 1
Required
Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1
First, the slope of the line has to be calculated;
Th slope of a line is the coefficient of x in its linear equation;
This implies that the slope of y = 3x + 1 is 3
Having calculated the slope of the first line;
The relationship between both lines are perpendicularity; this implies that [tex]m_1 * m_2 = -1[/tex]
Where m_1 = 3 and m_2 is the slope of the secodnd line
[tex]m_1 * m_2 = -1[/tex] becomes
[tex]3 * m_2 = -1[/tex]
Divide both sides by 3
[tex]\frac{3 *m_2}{m_2} = \frac{-1}{3}[/tex]
[tex]m_2 = \frac{-1}{3}[/tex]
The equation of the line can be calculated using the folloing formula
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
Where [tex](x_1, y_1) = (12,-6)[/tex] and [tex]m_2 = \frac{-1}{3}[/tex]
The equation becomes
[tex]\frac{-1}{3} = \frac{y -- 6}{x - 12}[/tex]
[tex]\frac{-1}{3} = \frac{y + 6}{x - 12}[/tex]
Cross multiply
[tex]-(x - 12)= 3(y + 6)[/tex]
[tex]-x + 12=3y + 18[/tex]
Collect like terms
[tex]12 - 18 = 3y +x[/tex]
[tex]-6 = 3y + x[/tex]
[tex]3y + x = -6[/tex]
write down the size of angle ABC give a reason for your answer
Answer:
∠ ABC = 90°
Step-by-step explanation:
∠ ABC is the angle in a semi circle and is right, that is
∠ ABC = 90°
The angle of ABC is 90 degrees.
Using circle theorem,
The angle subtended by an arc at the centre is twice the angle subtended
at the circumference.
Therefore,
1 / 2 ∠O = ∠ABC
∠O = 180 (angle on a straight line)
Therefore,
∠ABC = 1 / 2 × 180
∠ABC = 180 / 2
∠ABC = 90°
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help me with right answer plz
Answer:
15.5
Step-by-step explanation:
CAH
cos=adj/hyp
cos60= x/31
0.5=x/31
x= 15.5
HELLO THERE. PLS HELP ME WITH GEOMETRY
Answer:
y° = 110°
z° = 26°
Step-by-step explanation:
Looking at the above geometry, we have two parallel lines , m and m
We have been asked to solve for y° and z°
Step 1
We solve for y°
On line n , we have can see that 70° and y° are CONSECUTIVE INTERIOR ANGLES
It is important to note that THE SUM OF TWO CONSECUTIVE INTERIOR ANGLES = 180°
Hence,
70° + y° = 180°
y° = 180° - 70°
y° = 110°
Step 2
Solve for z°
Looking at the geometric diagram we can see that
y° and (6z - 46) ° are ALTERNATE INTERIOR ANGLES
This means
y° = (6z - 46) °
In step 1 , we have already solved for y°
y° = 110°
Hence,
110° = (6z - 46) °
110° = 6z° - 46°
collect like terms
110° + 46° = 6z°
156° = 6z°
Divide both sides by 6
156°/6 = z°
z° = 26°
Therefore, the value y = 110° and the value of z = 26°
(W^3 Z^2)^2 simplify
Answer: w^6 z^4
Step-by-step explanation:
w^6z^4
w^3^2 z^2^2
w^6 z^4
Answer:
[tex]w^6z^4[/tex]
Step-by-step explanation:
[tex]\text{Apply rule: }(a*b)^n=a^nb^n\\\\(w^3z^2)^2=\left(w^3\right)^2\left(z^2\right)^2\\\\\text{Apply rule: }(a^n)^m=a^{nm}\\\\(w^3)^2=w^{3*2}=\boxed{w^6}\\\\w^6(z^2)^2\\\\(z^2)^2=z^{2*2}=z^4\\\\\boxed{w^6z^4}[/tex]
Eight car dealerships reported the number of cars they sold last month. Car Dealership Number of Cars Sold GMC 84 Chevrolet 81 Nissan 92 Toyota 92 Ford 95 Honda 94 Hyundai 80 Acura 72 What is the upper and lower quartile of this set of data? lower quartile: 80.5 upper quartile: 93 lower quartile: 88 upper quartile: 93 lower quartile: 80.5 upper quartile: 88 lower quartile: 72 upper quartile: 95
Answer:
lower quartile: 80.5 upper quartile: 93
Step-by-step explanation:
Fro the above question, we are given the following values for the number of cars 8 dealerships sold.
GMC = 84
Chevrolet = 81
Nissan = 92
Toyota = 92
Ford = 95
Honda = 94
Hyundai = 80
Acura = 72
We are told to find the lower and upper quartile of this set of data.
The lower quartile of a data set can be defined as the median( middle number) of the lower half of the data set. The lower quartile is also known or referred to as (Q1).
The lower quartile is also calculated using the formula
Q1 = 1/4(n + 1) th value
Where n is the number of values in the the date set.
The upper quartile of a data set can be defined as the median( middle number) of the upper half of the data set. The lower quartile is also known or referred to as (Q3).
The upper quartile is also calculated using the formula
Q3 = 3/4(n + 1) th value
Where n is the number of values in the the date set.
Step 1
Arrange the data set from the lowest to the highest number
72, 80, 81, 84, 92, 92, 94, 95
Step 2
Calculate the lower Quartile
Q1 = 1/4(n + 1)th value
n = number of values in the data set = 8 values
Q1 = 1/4(8 + 1)th value
Q1 = 1/4(9)th value
Q1 = 2.25th value
This means it is between the 2nd and 3rd value
2nd value = 80
3rd value = 81
(80 + 81) ÷ 2 = 161 ÷ 2 = 80.5
The Lower Quartile (Q1) = 80.5
Step 3
Calculate the lower Quartile
Q3 = 3/4(n + 1)th value
n = number of values in the data set = 8 values
Q3 = 3/4(8 + 1)th value
Q3 = 3/4(9)th value
Q3 = (27/4)th value
Q3 = 6.75th value
This means it is between the 6th and 7th value
6th value = 92
7th value = 94
(92 + 94) ÷ 2 = 186 ÷ 2 = 93
The Upper Quartile (Q3) = 93
Therefore, the Lower Quartile: 80.5 and Upper Quartile: 93
Answer:
A
Step-by-step explanation:
good luck on the test ,have a nice day :)
edg 2022
A line passes through the points -6,4 and -2,2 which is the equation of the line
Answer:
y = -1/2x + 1
Step-by-step explanation:
Step 1: Find slope
m = (2-4)/(-2+6) = 1/2
Step 2: Find y-intercept
y = -1/2x + b
2 = -1/2(-2) + b
2 = 1 + b
b = 1
Step 3: Write it all together
y = -1/2x + 1
And we have our final answer!
10 to the power of what is 0.1
Answer:
Brainleist!
Step-by-step explanation:
10^x = 0.1
x =log(0.1)
Decimal Form: x=−1
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Work Shown:
Use the pythagorean theorem to find x
a^2 + b^2 = c^2
x^2 + 11^2 = 13^2
x^2 + 121 = 169
x^2 = 169 - 121
x^2 = 48
x = sqrt(48)
x = 6.92820323027551
x = 6.93
Answer:
x=6.93
Step-by-step explanation:
This is a right triangle, therefore we can use the Pythagorean Theorem.
a^2+b^2=c^2
where a and b are the legs and c is the hypotenuse.
In this triangle, x and 11 are the legs, because the form the right angle. 13 is the hypotenuse because it is opposite the right angle.
a=x
b=11
c=13
x^2+11^2=13^2
Evaluate the exponents.
11^2=11*11=121
13^2=13*13=169
x^2+121=169
Now we must solve for x by getting x by itself. First, subtract 121 from both sides.
x^2+121-121=169-121
x^2=169-121
x^2=48
x is being squared, so we should take the square root of both sides.
√x^2=√48
x=√48
x=6.92820323
Round to the nearest hundredth. The 8 in the thousandth place indicates we should round the 2 in the hundredth place to a 3.
x=6.93
Which rational expression has a value of 1 when x =-1?
The rational expression that has a value of 1 when x =-1 would be; D 2x²/ (x + 3).
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.
We need to determine the expression that has a value of 1 when x =-1
Let's consider the rational expression of the option D;
2x²/ (x + 3)
Now substitute the value x = -1 in the given expression
2x²/ (x + 3)
2(-1)²/ (-1 + 3)
= 2/ 2
= 1
Hence, the required rational expression is D 2x²/ (x + 3).
To know more about an expression follow;
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A political scientist wants to conduct a research study on a president's approval rating. The researcher has obtained data that states that 45% of citizens are in favor of the president. The researcher wants to determine the probability that 6 out of the next 8 individuals in his community are in favor of the president. What is the binomial coefficient of this study? Write the answer as a number, like this: 42.
Answer:
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
P( X=6) = 0.070 or 7 percentage
Step-by-step explanation:
Step(i):-
Given data the researcher has obtained data that states that 45% of citizens are in favor of the president
probability of success 'p' = 45% or 0.45
q = 1-0.45 = 0.55
Given random sample size 'n' = 8
Let 'X' be the random variable
let 'X' = 6
[tex]P(X=r) = n_{C_{r} } (p)^{r} (q)^{n-r}[/tex]
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
[tex]P(X=6) = 8_{C_{6} } (0.45)^{6} (0.55)^{8-6}[/tex]
[tex]8_{C_{6} } = \frac{8!}{(8-6)!6!} = \frac{8 X 7 X 6!}{2 X 1 X 6!} =\frac{8 X 7}{2 x1} = 28[/tex]
P( X=6) = 28 × 0.00830 ×0.3025
P( X=6) = 0.070
Conclusion:-
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
P( X=6) = 0.070 or 7 percentage
Answer:
28
Step-by-step explanation:
Can somebody help me with this. Do you add the 15 to the 2y or subtract it.
Answer:
4
Step-by-step explanation:
[tex]13x-10=2y+12 \\\\y=15 \\\\13x-10=2(15)+12 \\\\13x-10=30+12\\\\13x-10=42\\\\13x=52\\\\x=4[/tex]
Hope this helps!
Need help with trig in pic
Answer:
A. cos α = – 3/5
B. Sin β = √3/2
Step-by-step explanation:
A. To find the exact value of cos α , we must obtain the Hypothenus for the triangle.
Please attach photo for explanation.
B. To find the value of sin β, we must determine the opposite in the triangle. Please see attached photo for further details.
Classify the triangle by its angles. answers: A) Obtuse triangle B) Acute triangle C) Right triangle D) Equilateral triangle
Answer:
B) Acute triangle
Step-by-step explanation:
In acute triangles, all of the angles are less than 90°. This is true for this triangle :)
I hope this helps!!
Answer:
B) Acute triangle
Step-by-step explanation:
All the angles are less than 90 degrees so all the angles are acute
Find the volume ! Thanks
Answer:
Volume of cuboid = length × width × height
length = 20cm
width = 8cm
height = 15cm
Volume = 20cm × 8cm × 15cm
= 2400cm³
Volume of the cuboid is 2400cm²
Hope this helps.
Answer:
2,400cm³
Step-by-step explanation:
FORMULA FOR VOLUME OF A CUBOID= L×B×H
WHERE L IS LENGTH = 20cm
B IS BREADTH = 15cm
H IS HEIGHT=8cm
:• VOLUME= 20cm ×15cm × 8cm
= 2,400cm³
can someone please help me?? I don’t understand this
Answer:
see explanation
Step-by-step explanation:
It just means plug in the points into f(x)
-6 = -8
-1 = -3
1 = -1
6 = 4
Find the explicit formula for an arithmetic sequence with a common
difference of 4 and whose first term is 1.
Answer:
Step-by-step explanation:
[tex]a_{n}=1+(n-1)(4)[/tex]
There is a bag filled with 4 blue, 3 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 greens?
Answer:
The answer would be just about 61% or 9/14
Step-by-step explanation:
So, it would be a 71% chance to get 1 green out of the bag, but then you have to keep that green out, which then lowers the chances of getting another green out of the bag, then you have to combine the percentages, and then that is the final percentage.
The probability of getting 2 greens is 5/31
Probability is the likelihood or chance that an event will occur. It is expressed as:
Probability = Expected outcome/Total outcome
Given that a bag is filled with 4 blue, 3 red and 5 green marbles, the total outcome is expressed as:
Total outcome = 4 + 3 + 5 = 12ballsIf green is picked at first, the probability of selecting a green is 5/12
If the second marble is picked and not replaced, the probabiity that it is green is 4/11 (4 greens remaining)The probability of getting 2 greens = 5/12 × 4/11
The probability of getting 2 greens = 20/132
The probability of getting 2 greens = 5/31
Hence the probability of getting 2 greens is 5/31
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What is the factorization of the expression below?
16x^2 - 49
A. (8x + 7)(2x-7)
O B. (4x + 7)(4x - 7)
O C. (8x-7)(2x-7)
O D. (4x-7)(4x-7)
Answer:
B
Step-by-step explanation:
16 x² - 49 ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b), thus
16x² - 49
= (4x)² - 7²
= (4x + 7)(4x - 7) → B
Answer:
B
Step-by-step explanation:
There is no number between 16x and 49. So only think about the number being squared for 49; which is 7.
Then 49 is negative, so you must have both positive and negative signs in both parenthesis. Otherwise, positive times positive is positive, and negative times negative is also positive.
4x4 is 16. That's why you put fours in front of Xs.
I am sorry for getting this wrong (if i did)
Choose the graph that correctly corresponds to the equation x = −4.
Answer:
Option D is true. ( graph of a vertical line through the point (negative 4,0)
Step-by-step explanation:
Find the ratio that is equivalent to 10:5. A. 15:5 B. 5:10 C. 2:1 D. 5:1
Answer:
C 2:1
Step-by-step explanation:
10 is double 5
and 2 is double 1
Answer:
C 2:1
Step-by-step explanation:
this is the answer
4x/5+ 2 =5x/13+ 5 pls answer
Answer:
x=0
Step-by-step explanation:
solve with cross multiplying
Answer:
7.2222...
Step-by-step explanation:
Well first, to make it easier, remove the fractions by multiplying both sides by the LCM (or 65 in this case).
Thus, we will have:
[tex]65(\frac{4x}{5}+2)=65(\frac{5x}{13}+5)[/tex]
[tex]65(\frac{4x}{5})+65(2)=65(\frac{5x}{13})+65(5)[/tex]
[tex]52x+130=25x+325[/tex]
Now, simply isolate the [tex]x[/tex].
[tex]52x=25x+195[/tex]
[tex]27x=195[/tex]
[tex]x=7.2222...[/tex] or [tex]\frac{65}{9}[/tex]
In a right triangle PQR,∠Q=90
a)If PQ = 8cm, QR = 15 cm, find PR.
b)If PR = 10cm, PQ = 8 cm, find QR.
Answer:
a) PR = 17 cm, b) QR = 6 cm
Step-by-step explanation:
∠Q=90, so PQ and QR are legs, and PR is hypotenuse.
Pythagorean theorem PQ² + QR² = PR²
a) PQ² + QR² = PR²
8² + 15² = PR²
PR² = 289
PR = 17 cm
b) PQ² + QR² = PR²
8² + QR² = 10²
64 + QR² = 100
QR² = 36
QR = 6 cm
Find the value of x.
Answer:
64 degreesStep-by-step explanation:
Lets find the third angle of the isosceles triangle that has an measure of 29 for one of the angles
Lets use the angle sum theorem and isosceles triangle definition
180=n+29+29
180=n+58
n+58=180
n=180-58
n=122
This angle is supplementary to one of the two congruent angles of the triangle that contains angle x
180=y+122
y+122=180
y=180-122
y=58
The triangle that has angle x is isosceles, thus we can use the following equation to find x
180=58+58+x
180=116+x
116+x=180
x+116=180
x=180-116
x=64 degrees
Divide using long division.
62 - 11y+
+15) = (y - 4)
What is the slope of the line represented by the equation y = x - 3?
O-3
5
3
help me i cant do it its too hard
Answer:
[tex]\frac{9}{20}[/tex]
Step-by-step explanation:
Step 1: Multiply 2 together
1/3(3/5) = 3/15
Step 2: Multiply again
3/15(9/4) = 27/40
Step 3: Simplify
(Divide both top/bottom by 2)
27/2 = 9
40/2 = 20
9/20
Help !!!!! What are the polar coordinates
[tex]\left(3,\,\frac{\big\pi}3\right)[/tex]