Answer:
See below ~
Step-by-step explanation:
Finding m∠R
∠A + ∠R = 180°90° + ∠R = 180°∠R = 90°Finding m∠D
∠C = 360° - 100° - 40° / 2∠C = 220°/2 = 110°∠C + ∠D = 180°110° + ∠D = 180°∠D = 70°Opposite angles of an inscribed quadrilateral is supplementary
m<A+m<R=18090+m<R=180m<R=90°mCR=100°
2<C=360-40-100=360-140=220<C=110°m<D+m<C=180°
m<D=180-110=70°At lunch, kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week? 490x 700y < 4000 490x 700y ≤ 4000 490x 700y > 4000 490x 700y ≥ 4000
The inequality represents x, and y, she can eat each week is,
490x+700y \leq 4000.
x be the number of microwave burritos
y be the number of peanut butter sandwiches
we know that
[tex]490x+700y \leq 4000[/tex].........inequality that represents the situation
What is the meaning of inequality?The mathematical expression in which the sides of an equation are not equal to each other.
we use a graphing tool
The solution is the shaded area
Please find the attached figure
Therefore,the answer is 490x+700y \leq 4000
To learn more about the inequality visit:
https://brainly.com/question/19104371
find the ninth term of the geometric sequence, given the first term and the common ratio: a1=1, r=-1/3
Answer:
1(-1/3)^8
Answer: 1/6561
hope this is better
What is the range of y=−3x2−12x−17?
Question 9 options:
y≤−5
y≥5
x≥−5
x≤5
Answer: y≤−5
Step-by-step explanation:
The survey included 80 students. How many students chose bananas?
Answer:
20 Students chose bananas.
Step-by-step explanation:
You can see that the bananas take up 25% or 1/4 of the chart. To find 1/4 of a number find half of the number twice. Half of 80 is 40 and half of 40 is 20. So, 20 students chose bananas.
what are the features of the function f(x)=-log2(x+8)graphed below
Answer:
what graph?
Step-by-step explanation:
Which function is represented by this graph?
O A. 1x) = |x+7|-3
O B. 1x) = |x-7| -3
O C. 1x) = |x+3|-7
O D. 1x) = |x-3|- 7
Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1? f(x) = 3x2 5x 4 f(x) = 3x2 15x 12 f(x) = 3x2 – 5x 4 f(x) = 3x2 – 15x 12
A second degree polynomial function f (x) that has a lead coefficient of 3 and roots 4 and 1 is: [tex]3x^2-15x+12[/tex]
What is polynomial?An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
For this case we have that the following function complies with the given conditions:
[tex]f(x)=3x^2-15x+12[/tex]
To prove it, let's find the roots of the polynomial:
[tex]3x^2-15x+12=0[/tex]
By doing common factor 3 we have:
[tex]3(x^2-5x+4)=0[/tex]
Factoring the second degree polynomial we have:
[tex]3(x-1)(x-4)=0[/tex]
Then, the solutions are:
Solution 1:
[tex]x-1=0 \ or \ x=1[/tex]
Solution 2:
[tex]x-4=0\ \ or \ x=4[/tex]
Hence A second degree polynomial function f (x) that has a lead coefficient of 3 and roots 4 and 1 is:[tex]3x^2-15x+12[/tex]
To know more about Polynomials follow
https://brainly.com/question/2833285
Answer:
f(x) = 3x² – 15x + 12
Step-by-step explanation:
I got it right on the unit test for edge
437.683
Write a number with a 7 in it that is 1/10 the size of the 7 in the number above.
Step-by-step explanation:
find the egn of the line through (a.b)and perpendicular to the lime passing through (a.2b)and (b.2a)for a#b?
Find the area of a
square that has a side
length of 3 1/2 cm
Answer:
12.25cm2
Step-by-step explanation:
Area of a square= S ×S
3 1/2 × 3 1/2 = 3.5×3.5 = 12.25
The speed of the jet Alyssa flew on from Boston to London was 480
mph. On her return flight, the speed of the jet was 600 mph with a tail
wind. What was Alyssa's average speed on the round trip? Round your
answer to one decimal place.
Please help ASAP!!!
Will mark brainiest!!!!!
Answer:
533.3 mph
Step-by-step explanation:
You want the average round-trip speed if the speed to London was 480 mph and the return trip to Boston was 600 mph.
SpeedThe average speed will be the total distance divided by the total time. The time is found by dividing the distance by the speed.
If the distance is d, the total time in hours is ...
d/480 +d/600 = (3/800)d . . . . . hours
Then the average speed is ...
2d/(3/800d) = 1600/3 ≈ 533.3 . . . . miles per hour
Alyssa's average speed on the round trip was 533.3 mph.
__
Additional comment
In the real world, eastbound speeds are usually faster than westbound speeds.
<95141404393>
A philanthropist pledges to donate 18% of a
fund each year. If the fund initially has
$699,000.00, how much will the fund have
after 8 years?
Answer:
87.375
Step-by-step explanation:
i think it that because you haft to do divison
Help pls i rly need help
Step by step explanation :
[tex] \frac{x}{2} - 1 = \frac{3 - x}{5} [/tex]Taking LCM in Left Hand Side
[tex]⇢ \frac{x - 2}{2} = \frac{3 - x}{5} [/tex]Now, By cross multiplying ,we get. ..
[tex]⇢5(x - 2) = 2(3 - x)[/tex]
[tex]⇢5x - 10 = 6 - 2x[/tex]
[tex]⇢5x + 2x = 6 + 10[/tex]
[tex]⇢7x = 16[/tex]
[tex]⇢ \boxed{ x = \frac{16}{7} }[/tex]
Answer:
x = 16/7
Step-by-step explanation:
Given
x/2 - 1 = 3 - x / 5Solving
#1) Find the LCM.
Product of denominator values2 x 5 = 10#2) Multiply both sides by 10.
10(x/2 - 1) = 10(3 - x / 5)5x - 10 = 2(3 - x)5x - 10 = 6 - 2x#3) Bring x terms to the left and numbers to the right.
5x + 2x = 6 + 107x = 16x = 16/7Sally bought a soft drink for 4 dollars and 8 candy bars. She spent a total of 28 dollars. How much did each candy bar cost?
Answer:
$3
Step-by-step explanation:
If the soda was $4 and she spent a total of $28
then you do 28-4 to get the amount she spent on candy bars so 28-4 is 24 and divide 24 by 8 and you get 3
Suzie paid a total of \$324$324dollar sign, 324 for xxx tickets to a rock festival.
How much did each ticket cost?
Write your answer as an expression
Answer:
324 over x is the answer
Step-by-step explanation:
khan told me.
ik ur searching probs from khan hehe plol
The cost of each ticket as an expression is $324/x
Ratio and proportionRatios are written as fractions. For instance a/b can be written as a:b.
If Suzie paid a total of $324 for x ticket to rock a festivel, this is expressed as;
$324 = x ticket
The cost of each ticket is given as;
y = 1 ticket
324/y = x/1
y = 324/x
Hence the cost of each ticket as an expression is $324/x
Learn more on ratio here; https://brainly.com/question/2328454
#SPJ6
Jennifer has built a shelf which can safely support 16.40 pounds. if there are 2.20462 pounds in a kilogram, how many kilograms can jennifer’s shelf support? a. 7.44 kg b. 13.44 kg c. 32.42 kg d. 36.16 kg
The weight of Jennifer's shelf if 1kg is equivalent to 2.20462 pounds is 7.44kg
Ratio and proporrtionsFractions are written as the ratio of two integers
Given the following
Amount of pounds that Jennifer buuilt = 16.40 pounds
If 1 kg = 2.20462 pounds
Calcualate the measure of shelf in kg
Weight = 16.40/2.20462
Weight = 7.44kg
Hene the weight of Jennifer's shelf if 1kg is equivalent to 2.20462 pounds is 7.44kg
Learn more on ratio here: https://brainly.com/question/2328454
Maria has decided that she wants to earn all A's and B's throughout high school. She has set a short-term goal to earn no grade lower than a C on any test. Even though she studied, she earned a C on her geometry test. Being determined to reach her goal, she decides to go to extra study sessions her geometry teacher provides. What does this demonstrate about Maria
The fact that Maria has decided to still put in more effort to get no grade lower than C shows that c. she is able to set and evaluate her goals.
What can be said about Maria?Maria was able to set goals on the grades that she would like to earn throughtout her high school.
She was also able to evaluate her progress when she saw that she hadn't reached her overall goal. This then led to her taking even more lessons.
In conclusion, option C is correct.
Find out more on setting goals at https://brainly.com/question/24231566.
#5 The MAC is 4 centimeters. Find the circumference of B. Round your answer to the hundredths.
Answer:
C ≈ 11.71 cm
Step-by-step explanation:
using the ratio arc AC : circumference C = angle at centre of sector : 360°
[tex]\frac{AC}{C}[/tex] = [tex]\frac{123}{360}[/tex] , that is
[tex]\frac{4}{C}[/tex] = [tex]\frac{123}{360}[/tex] ( cross- multiply )
123 × C = 4 × 360 = 1440 ( divide both sides by 123 )
C = [tex]\frac{1440}{123}[/tex] ≈ 11.71 cm ( to the nearest hundredth )
which figure is a rotation of figure A?
Answer:
Figure D would be an 180 degree rotation of Figure A
Step-by-step explanation:
Figure B would have to be tilted to the right some more, and Figure C is all out of wack leaving Figure D
Answer:
Figure D
Step-by-step explanation:
From Figure A to B, it looks like a reflection (like a mirror) (over the y-axis)
From Figure A to C, it looks like a translation (5 units down) (x - 5, y)
From Figrue A to C, it looks like a rotation
Therefore, our final answer is Figure D
Hope this helps!
PLS HELPPPPPP IT'S LOCUS AND I HAVE NO IDEA HOW TO DRAWWWW
40 POINTS WILL BE REWARDED
THANKS A LOT
Answer:
im not really good at drawing but Can I ask a question can I help you with other questions?
Step-by-step explanation:
4+2 (x-1)=13
Find the value of for X
(Show working out)
Answer:
[tex]x = \frac{11}{2}[/tex]
Step-by-step explanation:
4+2 (x-1)=13
⇒ 2 (x - 1) = 13 - 4
⇒ 2 (x - 1) = 9
⇒ 2 x - 2 = 9
⇒ 2 x = 9 + 2
⇒ 2 x = 11
⇒ x = 11/2
someone please help find the perimeter
Answer:
26 metres
Step-by-step explanation:
(Assuming this is for the whole shape)
5 + 5 + 4 + 8 + 4
= 26 m
A local weather enthusiast wants to see if the last five summers have been warmer than normal for eloy, arizona. from the national oceanic and atmospheric administration (noaa), he knows the 30-year average for july was 90° with a standard deviation of 2.1°. the last five summers recorded have an average of 93.5°. if he uses a = 5%, which of the following would be valid based on the data he has gathered? he can conclude that the summers have been warmer than the 30-year average. he can conclude that the summers will continue to be warmer for the next 10 years. he does not have enough information to make a decision. the average for the last five years fits with the 30-year average.
For the local weather of Eloy, Arizona, the average for the last five years fits with the 30-year average.
What do you mean by standard deviation?In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of a population
N = number of observations of population
X = mean
μ = population mean
The 30-year average for July was 90°. The standard deviation for this average is 2.1°. Thus, the temperature lies in the range around of 90° in July.
Therefore, the range of the temperature is,
t = 90 - 2.1 = 87.9
t = 90 + 2.1 = 92.1
The last five summers recorded have an average of 93. 5° and the value of a is 5%. Thus, the reduction is,
t = 92 - (92 x 2.5/100)
t = 89.70
This value of temperature lies in the range of 87.9-92.1 degrees Celsius. Hence, the two averages are probably the same.
Hence, for the local weather of Eloy, Arizona, the average for the last five years fits with the 30-year average. Option D is correct.
Learn more about the standard deviation here;
brainly.com/question/19243813
Answer:
D, The average for the last five years fits with the 30-year average.
Step-by-step explanation:
edge
3. What is the surface area of this composite solid? Show your work.
5 ft
5 ft
3 ft
4 ft
10 ft
8 ft
By finding the area of the simpler parts, we will see that the total surface area of the figure is 348 ft^2
How we do get the surface area?
We can divide this in smaller parts. First, remember that for a triangle of base b and height h, the area is:
A = b*h/2
Then for each of the triangles in the image, the area is:
A = 8ft*3ft/2 = 12 ft^2
And we have two of these.
Then we have the base, a rectangle of 8ft by 10ft, with an area:
A' = 8ft*10ft = 80ft^2
Then we have the front and back sides, rectangles of 8ft by 4ft, with an area:
A'' = 8ft*4ft = 32 ft^2 (we have two of these).
Then the lateral sides, rectangles of 10ft by 4ft, with an area:
A''' = 10ft*4ft = 40ft^2 (we have two of these)
Finally, we have the top rectangles, of 5ft by 10ft, each with an area:
A'''' = 5ft*10ft = 50ft^2 (we have two of these).
Adding all the areas, we get:
Area = 2*(12 ft^2 + 32 ft^2 + 40ft^2 + 50ft^2) + 80ft^2 = 348 ft^2
If you want to learn more about areas, you can read:
https://brainly.com/question/24487155
. After consulting with his broker, Dan Hostetler purchases 2,000 shares of Ballon
Synergy stock at $4.10 per share. He also purchased 500 shares of Matell Scientific
at $26.76 per share. What is the total cost of the stocks including the commission?
Dan Hostetler purchases 2,000 shares of Ballon Synergy stock at $4.10 per share. Thus, The total cost of stock including the commission is $15917.
What are stocks?Stocks are types of security to shareholders that represent fractional ownership of equity in any organization.
Dan Hostetler purchases 2,000 shares of Ballon Synergy stock at $4.10 per share. He also purchased 500 shares of Matell Scientific at $26.76 per share.
We have a number of shares at $44.41 per share = 100
Number of shares at $19.08 per share = 600
Total number of shares = 700
Broker's charges per share = $0.04
Hence, The total cost of the stock including the commission
= Cost of stock + commission
= (100 × 44.41) + (600 × 19.08) + (700 × 0.04)
= 15,917
Thus, the total cost of stock including the commission is $15917.
Learn more about stocks here;
https://brainly.com/question/14649952
#SPJ1
How many ways are there to seat six boys and seven girls in a row of chairs so that none of the girls sit together. A detailed explanation would be most appreciated.
Answer:
5040 ways
Step-by-step explanation:
There will be 13 chairs altogether.
Since there are 7 girls who cannot sit together, the pattern will be alternate.
→ G, B, G, B, G, B, G, B, G, B, G, B, G
Means the ways of girls seated = 7!No. of ways of boys seated = 6!Total Ways
7! x 6!6! (7 x 1)6 x 5 x 4 x 3 x 2 x 1 x 7720 x 75040 waysplease help, thank you so much
Step-by-step explanation:
a) 3×2×t=6t
b)500 years
What is the area, in square feet, of the rectangle shown below?
Answer:
Step-by-step explanation:
A = l x w
l = length
w = width
Formula:
6 4/5 x 4 3/4
First, multiplying the integers:
6 x 4 = 24
Then you multiply the fractions(top x top and bottom times bottom):
4/5 x 3/4 = 12/20
Simplify:
12/20 = 3/5
Giving you 24 3/5
I hope this helps :)
The baseball diamond at a playground is a square with sides that measure 70 feet. About how long would a straight line be from home plate to second base? Round your answer to the nearest tenth.
A baseball diamond represented by a square oriented so that the diagonal of the square running from home plate to 2nd base is vertical.
70 feet
140 feet
9,800 feet
99 feet
Answer:
70 if you walk directly across, 140 if you're running the bases
Step-by-step explanation:
So, if the distance between one is 70, than from home>first>second is 140 feet. Because it is a square, if you travel across the field from home directly to second, it is half that distance and only 70.
Wyatt is hiking a trail that is 11/12 mile long. After hiking 1/4 mile, he stops for water. He continues hiking another 1/6 mile and stops to rest. How much farther must he hike to finish the trail ?
Answer:
the answer in the simplest form is 1/2 miles and if it's not in its simplest form is 6 /12 .hope it helps.
Step-by-step explanation:
Answer:
R.d. = 1/2 mile
Step-by-step explanation:
Facts of note
Total distance to be covered = 11/12 mileDistance covered = 1/4 + 1/6 = 3/12 + 2/12 = 5/12 mileSolving
Remaining distance = Total - coveredR.d. = 11/12 - 5/12R.d. = 6/12R.d. = 1/2 mileASAP PLEASEHELP ME WILL GIVE 50 POINTS AND MARK BRAINLIEST
A company has released the following possible designs for a new cereal box. The cost of production depends upon the cost of materials, which is determined by how much material is used. The amount of material used is equal to the surface area of the package plus some overlap. The amount of product contained in the package is the volume of the packaging.
Find the surface area and volume of the following possible cereal boxes. Determine the cost of making the cereal box assuming that cardboard costs $0.05 per square inch.