Answer:
y= x^2/24 + 11x/24 +121/4
Step-by-step explanation:
The standard form of the equation for the circle that passes through the points will be D. (x + 7)2 + (y + 10)2 = 25; center (7, 10), r = 5
What is standard form?It should be noted that s standard form simply means a form or writing a a mathematical concept in a form that follows certain rules.
In this case, the standard form of the equation for the circle that passes through the points will be x + 7)2 + (y + 10)2 = 25; center (7, 10), r = 5
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Elissa has taken up skateboarding and with the help of friends is building a ramp in her driveway. The angle of inclination is going to be 15degrees with the maximum height of four feet how long is the ramp going to be to the nearest tenth of a foot
Answer:
[tex]l \approx 15.455\,ft[/tex]
Step-by-step explanation:
The length of the ramp is computed with the help of the following trigonometric function:
[tex]\sin \theta = \frac{h}{l}[/tex]
[tex]l = \frac{h}{\sin \theta}[/tex]
[tex]l = \frac{4\,ft}{\sin 15^{\circ}}[/tex]
[tex]l \approx 15.455\,ft[/tex]
Scientists were interested in testing a new technique to prevent slipping on ice: wearing socks over boots!
500
500500 volunteers were randomly assigned to two groups. Both groups were asked to walk downhill on an icy road. One group simply wore boots, while the other group wore socks over their boots. All boots and socks were supplied by the scientists.
Once downhill, the participants were asked to indicate the number of times they slipped. Then, the scientists compared the average "slipperiness" score of each group.
What type of statistical study did the scientists use?
Answer:
The scientist used the experimental statistical study.
Step-by-step explanation:
Statistical study is the process of collecting, analyzing and presentation of data to achieve an accurate conclusion. The major types are: survey, and experimental.
Survey statistical study can easily be achieved by the use of questionnaires to sample the opinion of participants. While experimental statistical study involve the participants observing a process or some procedures before conclusions can be made.
In the given question, the scientist performed an experiment by asking participant to undergo a process before making his conclusion. Thus, he used an experimental statistical study.
PLEASE ANSWER QUICKLY I WILL GIVE BRAINLIEST
Based on the box-and-whisker plot shown below, match each term with the correct value.
I need this:
Median:
Range:
25th Percentile:
75th Percentile:
Inter-quartile Range:
Answer:
Median: 11
Range: 12
25% percentile: 9
75% percentile: 14
IQR: 5
Step-by-step explanation:
Least: 7
Q1: 9
Q2: 11
Q3: 14
Max: 19
Median: 11
Range: 19 - 7 = 12
25% percentile: 9
75% percentile: 14
IQR: 14 - 9 = 5
Step-by-step explanation:
Step 1: Find the median
The median on the box-and-whisker plot is the line that is inside of the box. On this plot, the median is 11 since it is where the line is.
Step 2: Find the range
The range on a box-and-whisker plot is the difference from the largest point and the smallest point. On this plot, the largest point is 19 and the smallest point is 7. So, subtract 7 from 19 and you get that the range is 12.
Step 3: Find the 25th percentile
The 25th percentile on a box-and-whisker plot is the left side of the box object. On this plot, the 25th percentile is 9.
Step 4: Find the 75th percentile
The 75th percentile on a box-and-whisker plot is the right side of the box object. On this plot, the 75th percentile is 14.
Step 5: Find the inter-quartile range
The inter-quartile range on a box-and-whisker plot is the difference between the 75th percentile or right side of the box and the 25th percentile or the left side of the box. On this plot, the 75th percentile is 14 and the 25th percentile is 9. So, subtract 9 from 14 and you get that the inter-quartile range is 5.
At a glass vase factory, 2 out of the last 12 vases produced were chipped. Considering this
data, how many of the next 18 vases would you expect to be chipped?
Vases
Answer:
3 vases chipped.
Step-by-step explanation:
Let's use a ratio:
chipped : all
2 : 12
1 : 6
3 : 18
We can expect 3 out of 18 vases to be chipped.
Answer:
1
Step-by-step explanation:
First, write the experimental probability as a fraction in simplest form.
P(chipped)
=
chipped
total
=
2
20
=
1
10
The experimental probability is
1
10
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
1
10
=
n
10
1
10
(1010)
=
n
10
(1010) Multiply both sides by (1010)
110
= 10n Simplify
10
= 10n Simplify
1
= n Divide both sides by 10
You would expect 1 of the next 10 vases to be chipped.
The parallelogram shown below has an area of 140140140 units^2 2 squared. Find the missing base. b =b=b, equals units
Answer:
Length of the base of the given parallelogram is 14 units
Step-by-step explanation:
This question is incomplete; Find the complete question in the attachment.
Area of the parallelogram (A) = 140 square units
Height of the parallelogram (h) = 10 units
Since area of the parallelogram = Base × height
A = b × h
140 = b × 10
b = [tex]\frac{140}{10}[/tex]
b = 14 units
Therefore, length of the base of the given parallelogram is 14 units.
Answer:
14 units is the answer I got it right on khan academy.
One tenth ( 1/10) of the weight of a soft drink is sugar. Find the amount of sugar in these weights of drink.
a. 750g
b.45g
c.1kg
d.1259g
Answer:
Step-by-step explanation
(a) 1/10 × 750g=75g
(b)1/10 ×45g=4.5g
(c)1kg=1000g
=1/10×1000g=100g
(d)1/10×1259g=125.9g
Hope it helps you!!
Answer:
Step-by-step explanation:
a) Amount of Sugar = (1/10) of 750 g
[tex]\frac{1}{10}*750\\\\[/tex]
= 75 g
b)Amount of Sugar = (1/10) * 45
= 4.5 g
c) Amount of Sugar = (1/10) * 1000 g {1 kg = 1000g}
= 100 g
d) Amount of Sugar = (1/10) *1259
= 125.9 g
A rental company rents a luxury car at a daily rate of $38.93 plus $.50 per mile. Paul is allotted $120 for car rental each day. Write an equation to represent the cost
C of renting a car and driving x miles. How many miles can Paul travel on the $120?
Which equation represents the cost of renting a car and driving x miles?
A. 38.93=C+0.50x
OB. C= 38.93 +0.50x
O c. 38.93 = CX +0.50
OD: C = 38.93x +0.50
Answer:
Paul can drive 162.14 miles a day for the budget of 120 dollars.
OB. C=38.93+0.50x
Step-by-step explanation:
120=C
120=38.93+0.50x
81.07=0.50x
162.14=x
What is the volume of a cone with a diameter of 30 feet and a height of 60 feet use 3.14 for pie
Answer:
14,130 feet³
Step-by-step explanation:
2r=d
2r=30
r=15
Formula for the volume of a cone is: [tex]\frac{1}{3} *b*h[/tex]
[tex]\frac{1}{3} *[/tex]π[tex]*r[/tex]²[tex]*h[/tex]=
[tex]\frac{1}{3} *3.14*15^{2} *60=\\[/tex]
[tex]\frac{1}{3} *3.14*225*60=[/tex]
[tex]\frac{1}{3} *3.14*13,500=\\[/tex]
[tex]\frac{13,500}{3} *3.14=\\[/tex]
[tex]4500*3.14=[/tex]
14,130 feet³
What is the mean of this data set? {10, 15, 12, 6, 2}
Which is solution to the question (x-3)(x-5)=35
X = -8
X = -5
X = 2
X = 10
Help me PLEASEEE I need help
Answer:
area of shaded portion=56 - 1/2 ×3×4=56-6= 50 yd^2
After travelling 2/5 of a Journey
a driver found that he had
60km
more to go
find the length
of the whole Journey?
Answer:
= 100 km
Step-by-step explanation:
Total length = 5/5
Covered length = 2/5
Remaining length = 5/5 - 2/5 = 3/5
If 3/5 = 60 km
What about 5/5 = ?
= 5/5 x 60 x 5/3 (reciprical)
= 60 x 5/3
= 300/3
= 100 km
Covered distance = 100 - 60 = 40 km
Which expression is equivalent to (2x to 4 y) 3 exponent?
Answer:
The answer is D hope that’s helps !
Step-by-step explanation:
8X^12Y^3
appreciate anyone help :)
Answer:
a) t=5
5+5+5=15
b) x=11
11-8=3
or you can add 3 to both sides and x=11
c) w=3
7(3) = 21
21+3=24
or subtract 3 from both sides to get 7w=21
then divide by 7 on both sides to get w=3
Answer:
a) t = 5
b) x= 5
c) w= 3
f(x) = 4^x-
2; find f(1)
Answer:
f(1) =2
Step-by-step explanation:
f(x) = 4^x- 2
Let x=1
f(1) = 4^1 -2
=4-2
=2
What is the measure of the unknown angle?
A. 60°
B. 63°
C. 64°
D. 70°
Answer:
B. 63°
Step-by-step explanation:
The distance around a circle is 360°
This means that 297° + n = 360°
Equation:
297 + n = 360
We can find the value of n by subtracting:
297 + n = 360
-297 -297
n = 63
Therefore, the value of n is 63 degrees.
what quadrilaterals have all the attributes of a parallelogram
Answer:
Rectangles, squares, and rhombus are quadrilaterals that have attributes of a parallelogram.
Step-by-step explanation:
I need help with this question!!
Answer:
B, C ,E
Step-by-step explanation:
B <2 = <6 they are alternate interior angles
C <1 + <6 = 180 <1 + 75 = 180 and 75 and <6 are equal because they are corresponding angle so <1 + <6 = 180
E x = 120
<1 + <6 = 180
<1 + 75 = 180
<1 = 105
<1 =x-15
105 = x-15
Add 15
120 =x
16 ÷ 4 + (1 + 3) =
help asap
Answer:
8
Step-by-step explanation:
1+3 is 4
16÷4 is 4
4+4 is 8
Answer:
8
Step-by-step explanation:
16
4
+1+3
=4+1+3
=4+4
=8
What is the slope of the line given by the equation y = -2x?
Answer: -2
Step-by-step explanation: This equation is written in y = mx + b form.
The slope is the multiplier or the coefficient of
the x-term whcih in this case is -2/
Answer:
-2
Step-by-step explanation:
slope is number next to x in equation y = mx + b
Pablo is simplifying the expression below.
Negative one-fourth (8 x + 12) minus (negative 2 x + 5)
He used the steps below to simplify the expression.
Negative one-fourth (8 x + 12) minus (negative 2 x + 5) = negative 2 x minus 3 + 2 x minus 5 = negative 8
Which statement is true about the steps that Pablo used to simplify the expression?
He combined like terms inside the parentheses, distributed Negative one-fourth over (8 x + 12), and then combined the remaining like terms.
He combined like terms inside the parentheses, distributed Negative one-fourth over (Negative 2 x + 5), and then combined the remaining like terms.
He distributed Negative one-fourth over (8 x + 12), distributed 1 over (Negative 2 x + 5), and then combined like terms.
He distributed Negative one-fourth over (8 x + 12), distributed –1 over (Negative 2 x + 5), and then combined like terms.
Answer:
D. He distributed Negative one-fourth over (8 x + 12), distributed –1 over (Negative 2 x + 5), and then combined like terms.
Step-by-step explanation:
We know that when using the distributive property, you have to multiply the outside value with the inside value and then either subtract or add.
You can combine like terms first, but that is only if there are like terms inside the parentheses. In this case, there are not, so you would distribute first.
So, to do that, you have to first distribute -1/4 to the 8x+12 and then distribute the -1 to the -2x+5. (note that they did not include the 1, but it is still there)
So, it is D
Find the domain and range of the function graphed below.
Answer:
[-1,3) domain i think the video i am watching kinda confusing tell me if i am right
[3,-5) range like i said tell me i got it wrong
Step-by-step explanation:
The domain and the range of a graph is the possible x and y values, the graph can take.
The domain of the function is: [tex]-1 \le x < 3[/tex] .The range of the function is: [tex]3 \ge y > -5[/tex]First, we determine the domain.
On the x-axis, the curve starts from x = -1 with a closed circle, and it ends at x = 3, with an open circle
A closed circle is represented by [tex]\ge[/tex] or [tex]\le[/tex], while an open circle is represented > or <
So, the domain of the graph is: [tex]-1 \le x < 3[/tex]
Next, we determine the range.
On the y-axis, the curve starts from y = 3 with a closed circle, and it ends at y = -5, with an open circle
Using the explanation of open and closed circle above,
The range of the function is: [tex]3 \ge y > -5[/tex]
Hence, the domain and the range of the graph are: [tex]-1 \le x < 3[/tex] and [tex]3 \ge y > -5[/tex], respectively.
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Point b has coordinates (-8,15) and lies on the circle whose equation is x^2+y^2=289. If an angles is drawn in standard position with its terminal ray extending through point b, what is the cosine of the angle?
Answer:
[tex]\cos \theta=-\dfrac{8}{17}[/tex]
Step-by-step explanation:
Coordinates of Point b[tex]=(-8,15)[/tex]
b lies on the circle whose equation is [tex]x^2+y^2=289[/tex]
[tex]x^2+y^2=17^2[/tex]
Comparing with the general form a circle with center at the origin: [tex]x^2+y^2=r^2[/tex]
The radius of the circle =17 which is the length of the hypotenuse of the terminal ray through point b.
For an angle drawn in standard position through point b,
x=-8 which is negative
y=15 which is positive
Therefore, the angle is in Quadrant II.
[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse} \\$Adjacent=-8\\Hypotenuse=17\\\cos \theta=\dfrac{-8}{17} \\\cos \theta=-\dfrac{8}{17}[/tex]
Put the following equation in slope-intercept form: 3x+y=10
Answer
[tex]y=-3x+10[/tex]
This is the slope-intercept form.
Step-by-step explanation:
Mr. Louis is taking a bus tour. The cost of the bus tour includes: $25.75 for the bus ride $9.25 for lunch admission to two museums, admission cost is the same to each museum The cost of the bus ride and lunch is 58 the total cost of the bus tour. What is the cost, in dollars, of the tour? What is the admission cost, in dollars, to each museum? Enter your answers in the boxes. The cost, in dollars, of the tour is . The admission cost, in dollars, to each museum is .
Answer: admission cost is 21 dollars
Step-by-step explanation:
Answer:
The cost of the tour is $56
The admission cost $21
Omg, I need help! A builder is buying property where she can build new houses. The line plot shows the sizes for each house. 1/6 has 6 X's 1/3 has 3 X's and 1/2 has 6 X's. Help anyone?
Answer:
Average size of the lots = ⅓ acre
Step-by-step explanation:
The question incomplete without specifying what we are to determine.
Question:A builder is buying property where she can build new houses. The line plot shows the sizes for each house. 1/6 has 6 X's 1/3 has 3 X's and 1/2 has 6 X's. Organize the information in a line plot. What is the average size of the lots? _________ acre
Help anyone?
Solution:
We are asked to organize the information in a line plot. See attachment for the line plot.
Given: 1/6 has 6 X's 1/3 has 3 X's and 1/2 has 6 X'sIn no particular order, the sizes of the lots are:1/6, 1/6, 1/6, 1/6, 1/6, 1/6, 1/3, 1/3, 1/3, 1/2, 1/2, 1/2, 1/2, 1/2 and 1/2 acre.
Let's count the number of lot for each size given.
For 1/6: there are 6 X's on the line plot of 1/6 number of lot for 1/6
= the lot × number of times it occurs
= (1/6) × 6 = 6/6 = 1 acre
For 1/3: there are 3 X's on the line plot of 1/3 number of lot for 1/3 = the lot × number of times it occurs
= (1/3) × 3 = 3/3 = 1 acre
For 1/2: there are 6 X's on the line plot of 1/2 number of lot for 1/2
= the lot × number of times it occurs
= (1/2) × 6 = 6/2= 3 acres
To find average size of the lots, we would sum all lot for each given size then divide by the total number of lots given.Sum of all lot for each given size = 1+1+3
Sum of all lot for each given size = 5
The total number of lots given = 15
Average size of the lots = 5/15 = 1/3
Average size of the lots = ⅓ acre
can some one help me plz with step by step
x^2 - 12x + 35
Answer:
(x + 3)(5x + 2)
Step-by-step explanation:
[tex] {x}^{2} - 12x + 35 \\ {x}^{2} - 7x - 5x + 35 \\ = x(x - 7) - 5(x - 7) \\ = (x - 7)(x - 5)[/tex]
The angle measurement in the diagram are represented by the following expressions
Answer:
As shown in picture:
angle A = angle B
or
8x + 6 = 4x + 38
=> 4x = 32
=> x = 8
=> B = 4*x + 38 = 4*8 + 38 = 32 + 38 = 70 deg
Answer:
[tex]B = 70 \: \: degrees[/tex]
Step-by-step explanation:
[tex]8x + 6 = 4x + 38 \\8 x - 4x = 38 - 6 \\ 4x = 32 \\ \frac{4x}{4} = \frac{32}{4} \\ x = 8[/tex]
B = 4x+38[tex]4x + 38 \\ 4 \times 8 + 38 \\ 32 + 38 \\ = 70 \: \: degrees[/tex]
Calculate the average rate of change of a function over a specified interval.
Which expression can be used to determine the average rate of change in f(x) over the interval 2, 9?
On a coordinate plane, a curve opens down and to the right. The curve starts at (0, 0) and goes through (1, 3), (4, 6), and (7, 8).
f(9 – 2)
f(9) – f(2)
StartFraction f (9 minus 2) Over 9 minus 2 EndFraction
StartFraction f (9) minus f (2) Over 9 minus 2 EndFraction
Answer:
D
Step-by-step explanation:
on edge
Answer:
D
Step-by-step explanation:
if a square+ b square+ c square=90, a+b+c=20 find the value of ab+bc+ca
Answer: ab + bc + ac = 155
Step-by-step explanation:
Given: a² + b² + c² = 90 and a + b + c = 20
Square the second equation, subtract it from the first equation, then simplify.
Square the second equation:
(a + b + c)² = 20²
a² + b² + c² + 2ab + 2bc + 2ac = 400
Subtract the equations:
a² + b² + c² + 2ab + 2bc + 2ac = 400
- (a² + b² + c² = 90)
2ab + 2bc + 2ac = 310
Simplify:
2(ab + bc + ac) = 310
÷2 ÷2
ab + bc + ac = 155