There were 5 girls and 22 boys in Mrs. Pantoja's math class.
Write the number of girls as a fraction of the number of boys. Then write the
fraction as a decimal.
Answer:
5/22 and for the decimal it will be, 0.22727272727273.
Step-by-step explanation:
Or these questions, non-integer answers should be entered as a decimal rounded to the hundredths place. Samantha won a trip to Europe in a contest she had entered. Rather than take the trip, she opted to take the cash value of the prize and put it in a savings account she uses as a college fund. She plans to keep this money in the college fund and let it earn interest for 8 years. At the end of 8 years, she'll use the total balance to help pay for tuition at law school. The equation below represents the total dollars, f(x), in her college fund after x years.
Answer:
Domain : [tex]0 \le x \le 8[/tex]
Range : [tex]5450 \le f(x) \le 6588.65[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5450(1.024)^x[/tex]
Required
Domain: [tex][\ ] \le x\ [\ ][/tex]
Range: [tex][\ ] \le f(x)\ [\ ][/tex]
See attachment for complete question
Calculating the domain:
At the instance when she keeps the money in the college fund;
[tex]x = 0[/tex] ---- 0 years
She plans to wait till the 8th year.
[tex]x = 8[/tex]
Hence, the domain is:
[tex]0 \le x \le 8[/tex]
Calculating the range:
We have:
[tex]f(x) = 5450(1.024)^x[/tex]
When: [tex]x = 0[/tex]
[tex]f(0) = 5450 * 1.024^0[/tex]
[tex]f(0) = 5450 * 1[/tex]
[tex]f(0) = 5450[/tex]
When [tex]x = 8[/tex]
[tex]f(8)=5450 * 1.024^8[/tex]
[tex]f(8)=6588.65[/tex]
Hence, the range is: [tex]5450 \le f(x) \le 6588.65[/tex]
Answer:
domain- [tex]0\leq x \leq 8\\\\[/tex]
range- [tex]5450\leq f(x)\leq 6588.65[/tex]
Step-by-step explanation:
Got it right on edmentum
PLZ HELP I GIVE FIRST PERSON BRAINLIEST!!!!!
DO AS MANY AS YOU WANT
Answer:
Trapezoid area:
A = 1/2(a + b)h, where a, b - bases , h - height17. a)a = RS = 4 unitsb = AT = 8 unitsh = 8 units, the distance between RS and ATA = 1/2(4 + 8)*8 = 48 units²
17. b)a = SK = 4 unitsb = OC = 10 unitsh = SO = 6 unitsA = 1/2(4 + 10)*6 = 42 units²
18. a)a = ME = 6 unitsb = AZ = 10 unitsh = MA = 8 unitsA = 1/2(6 + 10)*8 = 64 units²
Area of trapezoid:
Line RS: 2x2 = 4 units (first base)
Line TA: 4x2 = 8 units (second base)
The height (aka that x-axis inside shape): 4x2 = 8 units (h)
Area formula: (4 + 8)8 ÷ 2
= (4 + 8)8 ÷ 2
= 12(8) ÷ 2
= 96 ÷ 2
ANSWER = 48 sq. units
____________________________________________________________
Area of trapezoid:
Line SK: 2x2 = 4 units (first base)
Line OC: 5x2 = 10 units (second base)
Line SO (height): 3x2 = 6 units (h)
Area formula: (b1 + b2)h ÷ 2
= (4 + 10)6 ÷ 2
= 14(6) ÷ 2
= 84 ÷ 2
ANSWER = 42 sq. units
____________________________________________________________
Area of trapezoid:
Line ME: 6 units (first base)
Line AZ: 10 units (second base)
Line MA (height): 8 units (h)
Area formula: (b1 + b2)h ÷ 2
= (6 + 10)8 ÷ 2
= (16)8 ÷ 2
= 128 ÷ 2
= 64
ANSWER = 64 sq. units
Bob drew a line he thought was close to many of the points and found the equation of the line. He used the points (165, 168) and (174, 178) on his line to find the equation. What is the equation of Bob’s line? If entering decimal values, round to the tenths place.
What does Bob’s equation predict for the height of a person with an arm span of 162 cm? If entering a decimal value, round to the tenths place.
Answer:a
Step-by-step explanation:
Answer:
y = (10/9)x - 138/9
Height of 164.7 cm for an arm span of 162 cm
Step-by-step explanation:
First we find the slope. (178 - 168)/(174 - 165) = 10/9
Now use the point-slope form of a line
y - 168 = 10/9(x - 165)
9y - 9(168) = 10(x - 165)
9y - 1512 = 10x - 1650
9y = 10x - 138
y = (10/9)x - 138/9
If the arm span is 162 cm, then x = 162
y = (10/9)(162) -138/9
= 180 - 15.3
= 164.7 cm
The radius of a circle is 17 in. Find its area in terms of π.
A≈907.92in²
Because:
A=πr2=π·172≈907.92028in²
Answer:
289π or 907.46 in
Step-by-step explanation:
The formula for area of a circle is π r².
The radius is 17, so the first step is 17².
17²= 289
Next, you multiply 289 by pi (3.14).
3.14 x 289 = 907.46.
Therefore, the area in terms of pi is 289π or 907.46 in.
Brianna can rent a scooter for $15.00 plus $0.50 per mile.
Question 1
Part A
Write an equation in which t is the cost to rent a scooter and m is the number of miles she rode the scooter.
Enter the correct answer in the box.
Answer:
you can say y=0.50m+15t
discuss who the contributors were in algebra
In the figure shown, GD = 3x + 5, GF = 6x-4, and G is the incenter of AABC. Find GE
Answer:
GE = 14
Step-by-step explanation:
The incenter is equidistant from the sides, so GD = GE = GF.
Set the expressions for GD and GF equal to each other and solve for x.
3x + 5 = 6x - 4
5 = 3x - 4
9 = 3x
3 = x
Now plug this value into either expression, say for GD. GD = 3(3) + 5 = 14.
GE must be the same, GE = 14
HELPPP ASAP
The section of the basketball court below needs to be resurfaced. How many square feet of wood do you need to cover the area below? Use 3.14 for pi and round your answer to the tenths place (one decimal place).
Answer: 680.4 square feet
Step-by-step explanation:
please mark brainiest
A circle has a diameter of 8 cm. What is the circumference? Round to
the nearest hundredth.
Answer:
C≈25.13cm
Step-by-step explanation:
C=πd=π·8≈25.13274cm
d=2r
C=2πr
(hope this helps)
Step-by-step explanation:
area of a cicle is π[tex]r^{2}[/tex]
the diameter is twice as long as the radius so the radius would have a length of 4 cm.
π[tex]4^{2}[/tex]=50.27
Hope that helps :)
what value of y makes (-3, y) a solution to the equation 2y= 3x -1 ?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: y = -5
Explanation:
2y = 3(-3) - 1
2y = -9 - 1
2y = -10
y = -5
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP...
Answer:
27
Step-by-step explanation:
<TRU = 1/2 (mTU - mQS)
1/2 (79 - 25)
1/2 (54)
54/2 = 27
TRU = 27
A six-sided die is rolled 150 times.
Which of the following BEST describes how many times it is likely to land on an odd number
А
exactly 50 times
exactly 75 times
С
approximately 50 times
D
approximately 75 times
C
Kk
Answer:
approximately 75 times
Answer:
approximately 75 times
Step-by-step explanation:
Factorize this question
Answer: (3a+5b)(3a−5b)(a+b)(a−b)
Step-by-step explanation:
Factor 9a4−34a2b2+25b4
9a4−34a2b2+25b4
=(3a+5b)(3a−5b)(a+b)(a−b)
In a survey 7 out of 8 dentists recommend a ProTooth toothbrush. Based on this information, which can the toothbrush company predict about its recommendations?
In a survey of 24 dentist, 18 of them will recommend a ProTooth toothbrush.
In a survey of 24 dentist, 18 of them will recommend a ProTooth toothbrush.
In a survey of 88 dentists, 70 of them will recommend a ProTooth toothbrush.
In a survey of 88 dentists, 70 of them will recommend a ProTooth toothbrush.
In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.
In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.
In a survey of 40 dentists, 33 of them will recommend a ProTooth toothbrush
Answer:
64 dentists, 56 of them will recommend
Step-by-step explanation:
I just continued to add 8 more dentists with there recommended outcome until it showed a matching prediction.
Answer:
C. In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.
Step-by-step explanation:
i did this
A state that has license plates with 2 letters, followed by 4 digits.
can u guys help me
Answer:
Step-by-step explanation:
Yahoo in Sunnyville currently has a staff of 6,200 employees. Next month, Yahoo will decrease it’s staff by 8%. How many people will be employed by Yahoo next month?
Answer:
89
Step-by-step explanation:
PLEASE HELP!! Solve for x. -6x + 14 < - 28 AND 3x +28 < 25
Answer:
x>-7/3, x<-1
Step-by-step explanation:
Hope this helped!!!
Answered by NONE other than the #QUEEN herself!!
Calculate the volume of the cone
Answer:
96
Step-by-step explanation:
8 X 12 = 96
what is Q + 5.3 = 5.4
Factorice lo siguiente
5
Answer:
61
Step-by-step explanation:
marque esta respuesta como la más inteligente
Ismael uses Cavalieri's principle to show that the cylinder and rectangular prism
have the same volume.
350
The base of the rectangular prism is 3.5 feet long. How wide is the base of the
prism?
Answer:
I think 48
Step-by-step explanation:
by adding
Melissa’s birthday is next week and she has been receiving cards in the mail with different amounts of money. She has received 5 cards with the following amounts: $10, $20, $ 25, $30, $40. If Melissa receives one more card in the mail with $25, which of the following will happen?
Answer:
Her birthday money total will increase by $25 (total: $150).
Step-by-step explanation:
$10 + $20 + $25 + $30 + $40 + $25 = $150
What is the least common denominator for the fractions below? 2/6 * 1/5
Answer:
1/15
Step-by-step explanation:
2/6 x 1/5 = 2/30
2/30 = 1/15
Answer:
30
Step-by-step explanation:
Which of the following shows the two lines of reflection that produce an equivalent transformation of the translation △STU→△S'T'U'?
Answer:
The correct option is;
The fourth option
Please the attached drawing created with MS Visio
Step-by-step explanation:
From the given figure, we have;
The orientation of ΔSTU is equal to the orientation of ΔS'T'U'
When the plane of reflection is assumed to be the y-axis, we have;
For a reflection about the y-axis, we have;
The coordinate of the preimage = (x, y)
The coordinate of the image after the reflection = (-x, y)
When the image (-x, y) is reflected again across the y-axis, and becomes the image, we have;
The coordinate of the preimage = (-x, y)
The coordinate of the image after the reflection = (x, y)
Therefore, a reflection twice across the same y-axis would result in an image having the same orientation as the preimage
Given that a y-axis is parallel to another y-axis, we have;
A reflection twice across two parallel axis would result in an image having the same orientation as the preimage
The correct option is the 4th option
Please see attached drawing created with MS Visio
Answer:
the fourth one
Step-by-step explanation:
The pre-image and image of the translation are given.
To find the lines of reflection, locate a midpoint M of the translation vector between any two corresponding points on the pre-image and image.
The figure shows two congruent triangles S T U and S prime T prime U prime.
Then find the midpoints of SM and MS'.
The figure shows the same triangles S T U and S prime T prime U prime as in the previous figure. Point K is a midpoint of segment M S. Point N is a midpoint of segment M S prime.
The lines of reflection are perpendicular to the vector and intersect with the vector at the second set of midpoints by the Theorem of composition of two reflections across two parallel lines.
The figure shows the same triangles S T U and S prime T prime U prime as in the previous figure. There are two lines. The first line passes through point K. The second line passes through point N. These lines are perpendicular to segment S, S prime.
Therefore, the correct graph is the fourth one.
A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in.
A regular octagon has an apothem with length 10 centimeters and a perimeter of 66.3 inches.
What is the area of the octagon, rounded to the nearest square inch?
88 in.2
175 in.2
332 in.2
700 in.2
Answer:
332 in.2
Step-by-step explanation:
The area of an octagon with perimeter and apothem of 66.3cm and 10 cm repectively is 332 inches²
What is an octagon?An octagon is a polygon with eight sides.
The area of an octagon can be found as follows:
area of an octagon = 1 / 2 pa
where
p = perimeter of the octagona = apothemTherefore,
apothem = 10 cm
perimeter = 66.3 cm
Hence,
area of an octagon = 1 / 2 × 66.3 × 10
area of an octagon = 663 / 2
area of an octagon = 331.5 inches²
area of an octagon = 332 inches²
learn more on octagon here:https://brainly.com/question/16079384
Write a function rule for the values in the table
10
10
12
20
18
50
20
60
y=
Answer:
y = 5x - 40
Step-by-step explanation:
The function rule can be written in slope-intercept form, y = mx + b.
Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.
✔️Slope (m) = change in y / change in x
Using two pair of values from the table, (10, 10) and (12, 20),
Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5
Slope (m) = 5
✔️ y-intercept (b):
Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.
Thus:
10 = 5(10) + b
10 = 50 + b
10 - 50 = b
b = -40
✔️Write the function by substituting m = 5 and b = -40 into y = mx + b
Thus:
y = 5x + (-40)
y = 5x - 40
7/3 + x=3;x math I really need help
Given:
The equation is:
[tex]\dfrac{7}{3}+x=3[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\dfrac{7}{3}+x=3[/tex]
Subtract both sides by [tex]\dfrac{7}{3}[/tex].
[tex]\dfrac{7}{3}+x-\dfrac{7}{3}=3-\dfrac{7}{3}[/tex]
[tex]x=\dfrac{9-7}{3}[/tex]
[tex]x=\dfrac{2}{3}[/tex]
Therefore, the value of x is [tex]\dfrac{2}{3}[/tex] or it can be written as 0.667.
Prove that \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta}
1+sinθ
cosθ
=
cosθ
1−sinθ
Answer:
sin^2(θ)+cos^2(θ)=1
Step-by-step explanation:
We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.
To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ
Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.
Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.
Hope it helps.
If you have any query, feel free to ask.