Answer:
Area = 575m² Perimeter = 94
Step-by-step explanation:
Trust me I'm right
Answer:
Area of the Figure: 575 m
Perimeter of the Figure: 94 m
Step-by-step explanation:
That shape can easily be divided into a right triangle and a rectangle.
•••To solve the area for the rectangle:
base x height
17 * 25 = 425 m
•••To solve the area for the right triangle:
1/2 x base x height
1/2 x 15 x 20 = 150 m
•••Perimeter of the figure:
Add all the sides.
17 + 17 + 25 + 15 + 20 = 94 m
hi can u plz help me???
Answer:
6 , 1 , 2
61, 62, 16, 12, 26 , 21 , 612 , 216 , 621 , 612 , 126 , 162 , 261 ,
Step-by-step explanation:
think thats it hope this helps
What is the factored form of 64g^3+8
Answer:
8(2g + 1)(4g² - 2g + 1)
Step-by-step explanation:
Given
64g³ + 8 ← factor out 8 from each term
= 8(8g³ + 1) ← 8g³ + 1 is a sum of cubes and factors as
8g³ + 1 = (2g + 1)((2g)² - 2g + 1² ) = (2g + 1)(4g² - 2g + 1)
Hence
64g³ + 8 = 8(2g + 1)(4g² - 2g + 1)
Answer:
the correct answer is D
Step-by-step explanation:
trust
Given: BDis a diameter
m 1 = 100°
m BC= 30°
m2 =
30
80
100
Answer:
∠2 = 80°
Step-by-step explanation:
Since BD is a diameter then
∠1 + ∠2 = 180°, that is
100° + ∠2 = 180° ( subtract 100° from both sides )
∠2 = 180° - 100° = 80°
Answer:
B. 80
Step-by-step explanation:
We have been given a circle. We are asked to find the measure of angle 2.
Since BD is diameter of our given circle, so angle 1 and angle 2 will be linear pair of angles.
We know that linear angles add up-to 180 degrees, so we can set an equation as:
[tex]m\angle 1+m\angle 2=180^{\circ}[/tex]
[tex]100^{\circ}+m\angle 2=180^{\circ}[/tex]
[tex]100^{\circ}-100^{\circ}+m\angle 2=180^{\circ}-100^{\circ}[/tex]
[tex]m\angle 2=80^{\circ}[/tex]
Therefore, measure of angle 2 is 80 degrees and option B is the correct choice.
Solve the equation for all real values of x.
a.pi/6
b.pi k,pi/6
c. pik
d.pi/6+pik
Answer:
C
Step-by-step explanation:
1 / (cos x - sin x) = cos x + sin x
Multiply:
1 = (cos x + sin x) (cos x - sin x)
Distribute:
1 = cos² x - sin² x
Use trig identity:
sin² x + cos² x = cos² x - sin² x
2 sin² x = 0
sin x = 0
x = πk
Answer C.
The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
Step 1: 8 + 12x
Step 2: 4(2) + 4x(2)
Step 3:4(4 + 8x)
Step 4: Dimensions of the rectangle are 4 and 4 + 8x
In which step did the student first make an error and what is the correct step?
Step 2: 4(2) + 4x(2)
Step 2: 4(2) + 4(3x)
Step 3: 4 + (4 + 8x)
Step 3: 4+ (48X)
Answer:
Step 2: 4 ( 2 ) + 4 ( 3 x )
Step-by-step explanation:
The student didn't factorise 8 x + 12 properly
What is the next term in the geometric sequence -1 -2 -4
Answer:
-8
Step-by-step explanation:
r=2
so multiply third term by 2
Answer: -8
Step-by-step explanation:
We must remember that, in geometric sequences, the ratio between the consecutive terms is constant.This is called "Common ratio" and is represented with "r".
We need to find the common ratio of this geometric sequence:
Divide one term by the previous term:
[tex]r=\frac{-4}{-2}\\\\r=2[/tex]
Then, the next term asked in the exercise can be found by multiplying -4 by 2.
Therefore, this is:
[tex]next\ term=(-4)(2)\\\\next\ term=-8[/tex]
if a+9/a-3>2, which of the following could be a value of a? Select one: A. 17 B. 16 C. 15 D. 14
c is the correct answer
Ricardo reflected the triangle across the y axis. What is the new triangle?
it's literally a triangle what the heckle are you doing
Answer:
Option B
Step-by-step explanation:
Which is a better buy?
2-cup carton of pineapple juice for $1.04
Or
2-quart carton of pineapple juice for $6.24
Answer: I would say to go with "2-cup carton of pineapple juice for $1.04"
Step-by-step explanation:
If you want more pineapple juice for a cheaper price go with 2-cup carton for $1.04 The reason I say this is because 2 quarts equal 8 cups, so if you multiply the 2 cups and price by 4 you get 8-cups= $4.16 which is cheaper.
Jamie says the value of the expression 1.43 ×(-24/47) is close to −0.75. Does Jamie's estimate seem reasonable? Explain.
Answer:
The estimate is reasonable.
Step-by-step explanation:
Jamie's estimate seems reasonable.
We can see that there is (-24/27) in the bracket, first of all there is negative sign so there will be negative sign in the answer. Moreover, 24 is near to half of 27 so fraction will result in -0.5XXXXX and multiplying it with 1.4 will increase it around -0.75.
We can solve the given fraction for confirmation,
So,
[tex]= 1.43 * (\frac{-24}{47} )\\=1.43*(-0.5106)\\=-0.7302[/tex]
which is near to -0.75 so the estimate of Jamie was right ..
Jamie's estimate of -0.75 is reasonable given the calculated result of approximately -0.73.
The value of the expression 1.43 × (-24/47) is indeed close to -0.75. To show this, let's calculate it step by step:
Multiply 1.43 by -24: 1.43 * -24 = -34.32Now, divide -34.32 by 47: -34.32 / 47 ≈ -0.7298Therefore, Jamie's estimate of -0.75 is reasonable given the calculated result of approximately -0.73.
An arithmetic series is represented by the equation (picture). Which of the following is true?
A. The value of the series is greater than the value of the 24th number in the series.
B. The value of the series is between the values of the 1st and 24th numbers in the series.
C. The value of the series is equal to the value of the 1st or 24th numbers in the series.
D. The value of the series is less than the value of the 1st number in the series.
Answer:
C
Step-by-step explanation:
In arithmetic series
[tex]\sum \limits _{k=1}^{24}(-6+0.5k)[/tex]
we have
[tex]a_1=-6+0.5\cdot 1=-5.5\\ \\a_{24}=-6+0.5\cdot 24=-6+12=6\\ \\S_{24}=\dfrac{a_1+a_{24}}{2}\cdot 24=\dfrac{-5.5+6}{2}\cdot 24=0.5\cdot 12=6[/tex]
Thus, the value of the series is equal to the value of the 24th number in the series.
Which expression is equal to (f + g)(x)?
ANSWER
B.
[tex](f + g)(x) = {x}^{3} + x- 715[/tex]
EXPLANATION
The given functions are:
[tex]f(x) = \sqrt{ {x}^{2} + 28x + 196} [/tex]
This is the same as
[tex]f(x) = \sqrt{ {(x + 14)}^{2} } [/tex]
[tex]f(x) = x + 14[/tex]
and
[tex]g(x) = {x}^{3} - 729[/tex]
[tex](f + g)(x) = f(x) + g(x)[/tex]
[tex](f + g)(x) = x + 14 + {x}^{3} - 729[/tex]
[tex](f + g)(x) = {x}^{3} + x- 715[/tex]
The correct answer is B
Answer:
B.
Step-by-step explanation:
[tex]= f(x) + g(x)\\= \sqrt{x^{2} +28x+196} +x^{3} -729\\factor (x^{2} +28x+196) to ((x+14)^{2})\\= \sqrt{(x+14)^{2} } +x^{3} -729\\= x+14+x^{3} -729\\=x^{3} +x-715[/tex]
a line with a slope of 0 and y intercept of -12
Answer:
y = -12
Step-by-step explanation:
It's a horizontal line that goes through the point (0,-12). Look up HOY VUX on Google and that should explain the special cases for lines.
what is equivalent to 4 feet
Final answer:
4 feet is equivalent to 1 1/3 yards or 48 inches, as there are 3 feet in a yard and 12 inches in a foot.
Explanation:
The student has asked what is equivalent to 4 feet. To answer this, we must understand that feet and yards are units of measurement commonly used to measure length or distance. In the United States customary system, 1 yard is equivalent to 3 feet. Therefore, to find the equivalent of any number of feet in terms of yards, one can divide the number of feet by 3. For 4 feet, this would be calculated as follows:
4 feet ÷ 3 feet/yard = 1 1/3 yards.
Alternatively, since 4 is just 1 more than 3, we can see that 4 feet is 1 yard plus 1 additional foot, which confirms our conversion of 1 1/3 yards. Other times, feet may be converted into inches, where 1 foot equals 12 inches. In this case, 4 feet x 12 inches/foot equals 48 inches.
Answers are
A:4 square root 5
B:16
C:6
D:8 square root 5
Answer:
[tex]\large\boxed{A:\ 4\sqrt5}[/tex]
Step-by-step explanation:
Look at the picture.
ΔABC and ΔADB are similar. The corresponding angles are in proportion:
[tex]\dfrac{AB}{AC}=\dfrac{AD}{AB}[/tex]
We have:
[tex]AB=x,\ AC=5+11=16,\ AD=5[/tex]
Substitute:
[tex]\dfrac{x}{16}=\dfrac{5}{x}[/tex] cross multiply
[tex]x^2=(16)(5)\to x=\sqrt{(16)(5)}[/tex] use √ab = √a · √b
[tex]x=\sqrt{16}\cdot\sqrt5\\\\x=4\sqrt5[/tex]
Wendy drew a scale drawing of the auditorium. She used the scale 3 inches : 2 feet. The stage is 18 feet wide in real life. How wide is the stage in the drawing?
Answer:
12 inches
Step-by-step explanation:
[tex]18 \times (2 \div 3)[/tex]
Answer:
27 inches
Step-by-step explanation:
We can use proportions to solve this problem. Put the drawing size over the real life size
3 inches x inches
------------- = -----------
2 ft 18 ft
Using cross products to solve
3 * 18 = 2 * x
54 = 2x
Divide each side by 2
54/2 =2x/2
27 =x
The stage should be 27 inches in the drawing
if y varies inversely with x find the constant of variation with x = - 40 and y = 4
A. +10
B. -10
C. +160
D. -160
-160
I'm so sorry if I get this wrong I'm still new!
f(x) = x^2. What is g(x)?
Answer:
D. g(x)=(3x)^2
Step-by-step explanation:
For function g(x), it displays the point (1,9) as part of the function. If (x,y), then we can plug those into the available answers. Plug 1 in for each x value in the function and whichever one equals 9 will be your answer. This is only true for g(x)=(3x)^2.
The equation of g(x) = (x/3)^2.
How can we find the value of g(x)?The graphs of the functions f(x) and g(x) are similiar and the difference between them is caused dilation.
g(x) = k*f(x)
We can find the equation of g(x) as follows:It is given that f(x) = x^2
From the graph, we can see that g(3) = 1.
Therefore:
g(3) = k*f(3)
= k*3^2
= 1
k*3^2 = 1
⇒ k*9 = 1
⇒ k = 1/9
Now, substitute the value of k in the g(x)
g(x) = (1/9)*f(x)
⇒ g(x) = (1/9)*x^2
⇒ g(x) = (x/3)^2
Therefore, we have found the equation of g(x) = (x/3)^2. The correct answer is option C.
Learn more about quadratic functions here: brainly.com/question/1214333
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It's not 0.9158 or w/ the added 5 XP
Friend - Number of hours of studying per week - Grade Point Average (out of 5.0)
Allie - 14 - 3.91
Samantha - 42 - 4.98
Hayley - 10 - 3.22
Jessica - 32 - 4.81
Megan - 5 - 2.0
Rachel - 10 - 2.82
Briley - 25 - 3.79
Lauren - 18 - 3.48
Answer:
go back to hong kong
imma send you back to hong kong
Step-by-step explanation:
three consecutive integers have a sum of 246. what are the three integers?
Answer:
81,82 and 83
Step-by-step explanation:
X + X + 1 + X + 2 = 246
3X + 3 = 246
3X + 3 - 3 = 246 - 3
3X = 243
3X/3 = 243/3
X = 81
Which means that the first number is 81, the second number is 81 + 1 and the third number is 81 + 2. Therefore, three consecutive integers that add up to 246 are 81, 82, and 83.
81 + 82 + 83 = 246
Final answer:
To find the three consecutive integers, we can assume them as x, x+1, and x+2. By using the given sum and solving the equation, we find the values of the three integers to be 81, 82, and 83.
Explanation:
Let's assume the three consecutive integers as x, x+1, and x+2.
The sum of these three integers is given as 246, so we can write an equation:
x + (x+1) + (x+2) = 246
Combining like terms, we get:
3x + 3 = 246
Subtracting 3 from both sides:
3x = 243
Dividing both sides by 3:
x = 81
So the three consecutive integers are 81, 82, and 83.
Addison paid $10 for 2 granola bars and 6 apples. George paid $7 for 2 granola bars and 3 apples. Find the cost of each granola bar and each apple.
Answer:
g(granola bar) = $2 and a(apple) = $1
Step-by-step explanation:
This problem can be modeling as an equation systems with two unknows.
We can writting the equation systems as follows:
For Addison [tex]2g+6a=10[/tex] where "g" is a granola bar price, "a" an apple price, and 10 is the sum of both product prices in dollars.
For George [tex]2g+3a=7[/tex] where "g" is a granola bar price, "a" an apple price, and 7 is the sum of both product prices in dollars.
Ordering both equations:
[tex]\left \{ {{2g+6a=10} \atop {2g+3a=7}} \right.[/tex]
We're going to use the reduction method to solve this system of equations.
The reduction method consists of adding (or subtracting) the system equations to eliminate one of the unknowns.
1. Make sure that adding or subtracting the equations, some of the unknowns disappears.
We can see if we substracting both equations, the "g" unknown disappears.
[tex]\left \{ {{2g+6a=10} \atop {-(2g+3a)=-(7)}} \right.[/tex]
[tex]\left \{ {{2g+6a=10} \atop {-2g-3a=-7}} \right.[/tex]
Sustracting both equations, we obtain:
[tex]0g+3a=3[/tex]
[tex]3a=3[/tex]
[tex]a=\frac{3}{3} =1[/tex] which means that the value of an apple is $1.
2. We calculate the other unknown by substituting the value obtained from "a".
Substituting the value from "a" in the first equation:
[tex]2g+6(1)=10[/tex]
[tex]2g+6=10[/tex]
[tex]2g=10-6[/tex]
[tex]g=\frac{10-6}{2}[/tex]
[tex]g=\frac{4}{2}[/tex]
[tex]g=2[/tex] which means that the value of a granola bar is $2.
3. Finally, we verify the result by substituting the values obtained for "g" and "a" to see if it satisfy the equations.
For the first equation:
[tex]2g+6a=10[/tex] with g = 2 and a = 1
[tex]2(2)+6(1)=10[/tex]
[tex]4+6=10[/tex]
For the second equation:
[tex]2g+3a=7[/tex] with g = 2 and a = 1
[tex]2(2)+3(1)=7[/tex]
[tex]4+3=7[/tex]
The problem can be solved using a system of linear equations representing the cost relationships of granola bars and apples. By forming two equations from Addison's and George's purchases, you can find the cost of a granola bar (G) and an apple (A) using substitution or elimination.
Explanation:This question is a classic example of a system of linear equations where each equation represents a relationship between the cost of granola bars and apples. In this case, we have two people, Addison and George, and their respective costs for purchasing a combination of granola bars and apples.
We can set up two equations based on the information. Let's say G represents the cost of a granola bar and A represents the cost of an apple.
From Addison's purchase, we get the equation: 2G + 6A = $10
And from George's purchase, we formulate the equation: 2G + 3A = $7
You can solve this system of equations using various methods, such as substitution or elimination, to get G (cost of a granola bar) and A (cost of an apple).
Learn more about Linear equations here:https://brainly.com/question/32634451
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Which statement best describes the graph of the price of one share of a company’s stock shown at the right?
Answer: D.
Step-by-step explanation: It increased, or went up, at the "p.m." point, though kept at a straight line in the "a.m."
Answer:
The correct option is d.
Step-by-step explanation:
The given graph shows the relation between price and time.
Here, x-axis represents the time and y-axis represents the price of one share of a company’s stock.
From the given graph it is clear that the price of one share of a company’s stock increasing as the time changes from a.m. to p.m.
It means the price increased more in afternoon than in the morning.
Therefore the correct option is d.
4.5kg of oranges and 3kg of apples cost a total of £3.87 2.5kg of oranges cost £1.40 Work out the cost of 1kg of apples.
Final answer:
The cost of 1kg of apples is £0.45, calculated using two equations derived from the given information about the cost of oranges and apples.
Explanation:
To work out the cost of 1kg of apples, we can set up two equations based on the information given: 4.5kg of oranges and 3kg of apples cost a total of £3.87, and 2.5kg of oranges cost £1.40. Let's assume the cost per kilogram of oranges is 'O' and the cost per kilogram of apples is 'A'. The equations would be:
4.5O + 3A = 3.87 ........(1)
2.5O = 1.40 ........(2)
From equation (2), we can calculate the cost of oranges per kilogram:
O = 1.40 / 2.5
O = £0.56 per kilogram
Now substitute the value of 'O' in equation (1) to find 'A':
4.5(0.56) + 3A = 3.87
2.52 + 3A = 3.87
3A = 3.87 - 2.52
3A = 1.35
A = 1.35 / 3
A = £0.45 per kilogram
Therefore, the cost of 1kg of apples is £0.45.
19 POINTS
Solve 30/m+1=10/3m-5
Show work
30(3m-5)=10(m+1);
90m-150=10m+10;
90m-10m=150+10;
80m=140;
m=140/80=14/8=1.75
Answer:
m = 2
Step-by-step explanation:
If you're dividing 10 by 3m-5, please enclose the 3m - 5 inside parentheses to eliminate any ambiquity:
Solve 30/(m+1) = 10/(3m-5)
Here we have the LCD (m+1)(3m-5). Multiply both sides of this equation by this LCD and simplify the results:
30 10
(m+1)(3m-5)--------- = (m+1)(3m-5)----------
m+1 3m-5
After cancelling, we have:
30(3m-5) = 10(m+1),
which, when expanded, comes to:
90m - 150 = 10 m + 10
Combining like terms, we get:
80m = 160, and so m = 2.
5) Trey burns 398 calories in one hour during exercising. How many calories will he burn in 34
hours?
PLEASE HELP ASAP I WILL GIVE 1O P0INTS AS AN AWARD :D
Answer:
13532
Step-by-step explanation:
398 x 34 = 13532
Answer:
398 x 34 = 13532
Step-by-step explanation:
Help!!!!
Evaluate: 2√125/1000
A- 25/200
B- 15/100
C- 3/25
D- 5/10
Answer:
[tex]\large\boxed{\dfrac{5}{10}}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{\dfrac{125}{1000}}\qquad\text{use}\ \sqrt[n]{\dfrac{a}{b}}=\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}\\\\=\dfrac{\sqrt[3]{125}}{\sqrt[3]{1000}}=\dfrac{5}{10}\\\\\\\sqrt[3]{125}=5\ because\ 5^3=125\\\\\sqrt[3]{1000}=10\ because\ 10^3=1000[/tex]
20. A doctor measured a patient's resting pulse rate at 80 beats per minute. Draw a
graph to show the relationship between time and the number of times the patient's
heart beats.
Use it to estimate how many times the patient's heart will beat in 18 minutes. Write an
equation in Y = mx + b form.,
Answer:
1440 beats
Step-by-step explanation:
Given that a doctor measured a patient's resting pulse rate at 80 beats per minute.
i.e. if no of beats in a dependent variable on time then we have a linear relationship between y - no of beats and x - no of minutes
Here slope= rate of change of y with respect to x [tex]= m=80[/tex]
And we have y intercept as 0 since when time is 0 no heart beat. i.e. (0,0) is a point on the line
The equation would be
[tex]y=80x[/tex],x≥0
When [tex]x=18, \\y = 18(80)\\y = 1440[/tex] beats.
Graph is enclosed.
Please help I will make BRAINLIEST!!!!!
Answer:
variable= x
x ≤ 100
Step-by-step explanation:
it would be x ≤ 100 because it says it can hold as many AS 100, making it less than or equal to 100
3. A city planner is measuring the distance of one city block. Which unit of measure should she use: 1 mile, 1 meter, 1/2 inch?
Meter :) hope this helps!
Answer:
Meters
Step-by-step explanation:
City planner should use Meter unit as the distance within the city blocks are much higher that the distances which can be measured in inches and they are much lesser than the distances which can be measured in Miles.
For instance, Two blocks of a city can not be few miles away or few inches away , but they can be few meters away from each other.
Hope that helped .
3. Riley records the number of
homework assignments completed
by randomly selected students in her
school on Monday in the table below.
Grade Assignments Completed
eighth 5,4,5, 4, 4, 5, 4, 5
seventh 6,5,5,5,6,6,5,6
sixth 5,3, 4, 3, 5, 4, 4,4
Make a comparative inference based
on the mean values of each data set.
Answer:
means are
8th:4.5
7th:5.5
6th:4
7th is most
Step-by-step explanation: