Answer:
20
Step-by-step explanation:
please help me with this
Answer:
Step-by-step explanation:
sum of angles of a triangle=180°
9x-2+3x-19+3x+6=180
15x-15=180
15x=180+15=195
x=195/15=13
m∠G=9x-2=9×13-2=117-2=115°
A few weeks ago, Tori bought 4 apples from her local farmers' market. Today, she bought 3 apples. What is the percent of decrease in the number of apples bought?
Answer:
25%
Step-by-step explanation:
(original value - new value / original value) x 100
So
4 - 3 = 1
1/4 = 0.25
0.25 x 100 = 25
So there was a 25% decrease in the number of apples bought.
Hope it helps :)
Questions linked below
Answer:
The blur of the photo I do not understand sorry
Step-by-step explanation:
ty for the points
Help me in my math thank you
Answer:
1. B. 12
2. D. 6
3. A. 12
4. C. 64
5. D. 1[tex]\frac{17}{18}[/tex]
6. B. 16
Step-by-step explanation:
A car has a 16 gallon fuel tank when driving on a highway it has a gas milage of 30 miles per gallon how many miles has a car traveled if it has 2.5 gallons of gas left in the tank
Answer:
The car has traveled 405 miles if it has 2.5 gallons of gas left in the tank.
Step-by-step explanation:
16 - 2.5 = 13.5 ( The amount of gas the car has already used )
30 * 13.5 = 405 ( How far the car traveled with 13.5 gallons of gas )
Hope this helps!
Determine
f(a + h) - f(a)
for f(x) = 1 - x2 and simplify.
Answer:
h^2+2ah
Step-by-step explanation:
When f(x) = 1-x^2
f(a) = 1 - a^2
f(a+h) = 1 - (a+h)^2
= 1 - a^2 + 2ah + h^2
Subtracting the two:
f(a+h) - f(a)
= (1 - a^2 + 2ah + h^2) - (1-a^2)
= 1 - 1 - a^2 + a^2 + 2ah + h^2
= 2ah + h^2
= h^2 + 2ah
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 10 mm halfway across a horizontal distance of 80 mm.
Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work. (4 points)
Part B: Identify the focus, directrix, and axis of symmetry of the parabola. (6 points)
The spider's movement is an illustration of a parabola.
The equation of the parabola is: [tex]\mathbf{y = -\frac{1}{320}(x - 80)^2 + 20}[/tex]The focus of the parabola is [tex]\mathbf{Focus = (80 ,-60)}[/tex]The directrix is: [tex]\mathbf{y = 100}[/tex].The axis of symmetry is: [tex]\mathbf{x = 80}[/tex](a) The equation
The spider passes through the origin.
So, we have:
[tex]\mathbf{(x,y) = (0,0)}[/tex]
The spider jumps to a maximum height of 20mm, midway 160mm.
So, the vertex is:
[tex]\mathbf{(h,k) = (80,20)}[/tex]
The equation of a parabola is:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
So, we have:
[tex]\mathbf{0 = a(0 - 80)^2 + 20}[/tex]
[tex]\mathbf{0 = 6400a + 20}[/tex]
Subtract 20 from both sides
[tex]\mathbf{6400a =- 20}[/tex]
Solve for a
[tex]\mathbf{a =- \frac{1}{320}}[/tex]
Substitute [tex]\mathbf{a =- \frac{1}{320}}[/tex] and [tex]\mathbf{(h,k) = (80,20)}[/tex] in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
[tex]\mathbf{y = -\frac{1}{320}(x - 80)^2 + 20}[/tex]
(b) The focus, directrix and the axis of symmetry
The focus of a parabola is:
[tex]\mathbf{Focus = (h,k+p)}[/tex]
Where:
[tex]\mathbf{p = \frac{1}{4a}}[/tex]
So, we have:
[tex]\mathbf{p = \frac{1}{4\times -1/320}}[/tex]
[tex]\mathbf{p = -\frac{320}{4}}[/tex]
[tex]\mathbf{p = -80}[/tex]
So, we have:
[tex]\mathbf{Focus = (80 , 20-80)}[/tex]
[tex]\mathbf{Focus = (80 ,-60)}[/tex]
The axis of symmetry is:
[tex]\mathbf{x = h}[/tex]
So, we have:
[tex]\mathbf{x = 80}[/tex]
The directrix is:
[tex]\mathbf{y = k - p}\\[/tex]
So, we have:
[tex]\mathbf{y = 20+80}[/tex]
[tex]\mathbf{y = 100}[/tex]
Read more about parabolas at:
https://brainly.com/question/5430838
An apple orchard charges a $5 admission fee and $3 for each basket of apples you take home. Write an equation to represent the total cost if your trip to the apple orchard
Answer:
y = 3x + 5
Step-by-step explanation:
y = total cost
x = basket of apples
5 = admission fee
y = cost per basket + admission fee
y = 3x + 5
A machine salesperson earns a base salary of $40,000 plus a commission of $300 for every
machine he sells. Write an equation that shows the total amount of income the salesperson
earns, if he sells x machines in a year.
Answer:
$40,000 + $300x
Step-by-step explanation:
If the machine salesperson sold 5 machines, his commission would be $300 × 5 so if he sold x machines his commissions would be $300x. This value is added on to his base salary of $40,000.
Answer: $40,000 + $300x
The prices (in dollars) for a particular model of digital camera with 6.0
megapixels and an optical 3X zoom lens are shown here for 10 randomly selected online
retailers. Find 95% confidence interval of the true mean price for this particular
model.
225 240 215 206 211 210 193 250
225 202
Using the data given, the 95% confidence interval of the true mean is (205.20 ; 230.20)
Given the data :
225 240 215 206 211 210 193 250 225 202The confidence interval is defined as :
Since, sample size ls less than 30 we use a t-distribution table :
[tex] C.I = \bar{x} ± t_{α/2, n-1} \frac{s}{\sqrt{n}}[/tex]
Zcritical = [tex]t_{0.05/2, 9} = 2.26 [/tex] n = sample size = 10Using a calculator :
Mean, [tex]\bar{x} = 217.7 [/tex] Standard deviation, σ = 17.49Lower boundary = [tex] 217.7 - 2.26(\frac{17.49}{\sqrt{10}}) = 205.20[/tex]
Lower boundary = [tex] 217.7 + 2.26(\frac{17.49}{\sqrt{10}}) = 230.20[/tex]
Therefore, the confidence interval is (205.20 ; 230.20)
Learn more :https://brainly.com/question/25173276
The confidence interval is simply a range that contains the true mean of the population
The 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]
The given parameter is:
[tex]\mathbf{n = 10}[/tex]
Start by calculating the degree of freedom
[tex]\mathbf{df = n - 1}[/tex]
[tex]\mathbf{df = 10 - 1}[/tex]
[tex]\mathbf{df = 9}[/tex]
Next, calculate the mean
[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]
[tex]\mathbf{\bar x = \frac{225 + 240 + 215 + 206 + 211 + 210 + 193 +250 + 225 + 202}{10}}[/tex]
[tex]\mathbf{\bar x = \frac{2177}{10}}[/tex]
[tex]\mathbf{\bar x = 217.7}[/tex]
Calculate the standard deviation
[tex]\mathbf{\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n-1}}}[/tex]
[tex]\mathbf{\sigma = \sqrt{\frac{(225 -217.7)^2+ (240 -217.7)^2+..........+ (202 -217.7)^2}{10-1}}}[/tex]
[tex]\mathbf{\sigma = \sqrt{\frac{2752.1}{9}}}[/tex]
[tex]\mathbf{\sigma = 17.49}[/tex]
Calculate the standard error
[tex]\mathbf{SE = \frac{\sigma}{\sqrt n}}[/tex]
[tex]\mathbf{SE = \frac{17.49}{\sqrt {10}}}[/tex]
[tex]\mathbf{SE = 5.53}[/tex]
At 95%, df = 9. the t-value is:
[tex]\mathbf{t= 2.262}[/tex]
So, the confidence interval is:
[tex]\mathbf{CI = \bar x \pm t \times SE}[/tex]
So, we have:
[tex]\mathbf{CI = 217.7 \pm 2.262 \times 5.53}[/tex]
Split
[tex]\mathbf{CI = (217.7 - 2.262 \times 5.53, 217.7+ 2.262 \times 5.53)}[/tex]
[tex]\mathbf{CI = (205,19, 230.20)}[/tex]
Hence, the 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]
Read more about confidence intervals at:
https://brainly.com/question/2396419
Ben and Mack stopped at a restaurant to eat. Ben purchased 2 hot dogs and 2 drinks for $4.75. Mack purchased 3 hot dogs and 1 drink for
$7.75. Which system of equations can be used to determine the price of each hot dog, x, and each drink, y?
A. 2x + 2y = 4.75
3x + y = 7.75
OB. 2x + 2y = 7.75
3x + y = 4.75
OC. X + 2y = 7.75
2x + 3y = 4.75
D. x + 2y = 4.75
2x + 3y = 7.75
Answer:
A is the answer
Step-by-step explanation:
Let x equal hotdogs and y equal drinks
2 hotdogs plus 2 drinks = 4.75
3 hotdogs plus 1 drink = 7.75
What is the value of x in this equation? Enter your answer in the box.
(2.4 × 103) × (3 × 10x) = 7.2 × 109
Answer:
17.92
Step-by-step explanation:
you jog 3 miles in 30 minutes. At that rate, how long will it take you to jog 6 miles
Answer:
1 hour
Step-by-step explanation:
am i right
help asap plz with my math hw, i will give you thanks and 5stars
Answer:
it would be 15 or 14 that only came up when I did it
Step-by-step explanation:
2. Transversals and parallel lines are unique in that if you know one angle measure, you know them all. Use the picture below to tell the value for EACH angle if <1 = 102. *
3 points
Answer:
1:102
2:78
3:102
4:78
5:102
6:78
7:102
8:78
If a van traveled 180 miles in 3 hours, how far could the van travel in 7 hours?
Answer:
42 miles
Step-by-step explanation:
180/3=6 6x7=42
Answer:
420 miles in 7 hours
Step-by-step explanation:
You divide 180 by 3 to get how much the van is traveling per hour. When you get the answer 60 multiply it by 7 then you have 420 miles in 7 hours.
please help!! the blank ones are the answer you can choose which one is correct.
Answer:
25 percent the answer is 25 percent I'm pretty sure. cause it's just 112.5/450
The point A(−4,5) is reflected over the point (2,3) and its image is point B. What are the coordinates of point B?
Answer: (8,1)
Step-by-step explanation:
The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b
b = 3 2/3
The equation for the line is y = -(1/3)x + 3 2/3
The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1
The point is (8,1)
15x+7y=5 find the y-intercept
Answer:
slope: -15/7
intercept: ( 0, 5/7)
Step-by-step explanation:
I will give brainlist, 5 stars, and thanks! Please answer!!
Answer:
1 3/5
Step-by-step explanation:
if you multiply 1/5 x 8, you get the decimal 1.6, and 1.6 as a mixed fraction is 1 3/5
Question 10
Luella has a bag with three Hershey Kisses, two Reese's Cups, five York Peppermint
Patties, and a Jolly Rancher. What is the probability that Luella will pull out a Reese's
Cup, eat it, and then pull out another Reese's Cup? Write your answer as a simplified
fraction
Using the probability concept, it is found that there is a [tex]\frac{1}{55}[/tex] probability that Luella will pull out a Reese's Cup, eat it, and then pull out another Reese's Cup.
A probability is the number of desired outcomes divided by the number of total outcomes.
Initially, there are 11 sweets, 2 of which are Reese's Cups, thus, there is a [tex]\frac{2}{11}[/tex] probability of pulling a Reese's Cup.Then, there will be 10 sweets, of which 1 will be a Reese's Cup, thus, [tex]\frac{1}{10}[/tex] probability of pulling another Reese's Cup.The probability of both events is the multiplication of the probabilities of each event, thus:
[tex]p = \frac{2}{11} \times \frac{1}{10} = \frac{2}{110} = \frac{1}{55}[/tex]
[tex]\frac{1}{55}[/tex] probability that Luella will pull out a Reese's Cup, eat it, and then pull out another Reese's Cup.
A similar problem is given at https://brainly.com/question/15536019
is 3.2128 rational or irrational
3.2128 is a rational number because you can not make it into a fraction/ratio
Please help I will give brainless and hearts and stars!!!
Answer:
you have to do it look up how to chart coordinates
Step-by-step explanation:
Answer:
ok brain less and point alr bet I will do this feal quick
Step-by-step explanation:
ok so the anser r very ez
first multiply and do tibi top in botton out dived the factor and thete for u will get *** and ****** **** *** for the first anser
Are the ratios 2:3 and 4:6 equivalent? Explain your answer.
PLSS HELP ME
Answer: Yes
Step-by-step explanation:
2:3 is the same as (2/3) and 4:6 is the same as (4/6). (4/6) can be reduced by dividing both sides by 1/22: (4/6)*(1/2)/(1/2) = 2/3, They are the same.
what is X?
-7x+4=-32
Answer:
The answer would be 36/7 and that would be 5.14285714286
Step-by-step explanation:
Answer:
Step-by-step explanation:
x=36/7
Find the equation (in terms of x ) of the line through the points (-5,-4) and (3,-1)
Answer:
[tex]y=\frac{3}{8}x-\frac{17}{8}[/tex]
Step-by-step explanation:
The slope: m= 3/8
hope this helps.
For brainily please help
Answer:
No
Step-by-step explanation:
7 + 3 = 10, and in order for this to make a triangle two sides must be greater than one side
Answer:
No
Step-by-step explanation:
two sides, say a and b, with a greater than or equal to b, ,put limits on the length of the third side, c: a-b < c < a+b.
a-b < c < a+b.
7-3 < 10 < 7+3
4 < 10 < 10
False,
The two triangles shown are congruent
Answer:
30* or A
Step-by-step explanation:
If the triangles are congruent, corresponding angles and sides are equal.
So angle c is 60* because it is opposite of side x.
angle b is 180-90-60 because all angles add up to 180 in a triangle.
What is the value of r?
Answer:
its 40
Step-by-step explanation:
180-100=80
80/2= 40
If you want to divide 4 by 2/5 you can multiply 4 by 5, then divide it by 2 or multiply it by 1/2.
Step-by-step explanation:
to divide by a fraction is the same as to multiply by the upside-down fraction.
in your example
4 / 2/5 = 4 × 5/2 = 20/2 = 10
by the way, also a whole number is a fraction.
4 = 4/1
so, fully formal, the whole operation above looks like
(4/1) / (2/5) = (4/1) × (5/2) = (4×5) / (1×2) = 20/2 = 10/1 = 10