Answer:
(4x-50)°+(x+60°)=180°
5x+10=180°
5x=180-10
5x=170
x=170/5
x=34
Answer:
x = 34
Step-by-step explanation:
4x - 50 + x + 60 = 180
Transpose all constant to the right side
4x - 50 + x + 60 = 180
+ 50 - 60 + 50 - 60
4x + x = 170
Add like terms
5x = 170
Divide 5x with its constant (5). Also, divide 170 with the constant.
5x = 170
x = 34
Mr. Mustard said: "If you add the ages of my
two daughters, plus my age, the sum ls 70.
Mr. Mustard's daughters are 15 and 11 years
old. How old is Mr. Mustard?
Answer:
Mr. Mustard is 44 years old
Step-by-step explanation:
70 - (11+15) = 44
44 + (11+15) = 70
–9 − 9m = –10m
What does m equal?
Answer: 2
Step-by-step explanation:
Answer:m=1
Step-by-step explanation:9*1
if f(x) = ln(2), then limx--->2 (f(2)-f(x))/x-2
Answer:
as written, -2with denominator parentheses, 0with f(x)=ln(x) and denominator parentheses, -1/2Step-by-step explanation:
The problem as stated asks for the limit as x approaches 2 of (0/x) -2.
As written, the limit is (0/2) -2 = -2.
Explanation: f(x) is a constant, so the numerator is 0. The ratio 0/x -2 is defined as -2 everywhere except x=0. So, the value at x=2 is 0/2 -2 = -2.
__
If you mean (f(2) -f(x))/(x -2), that limit is the limit of 0/(x-2) = 0 as x approaches 2.
Explanation: f(x) is a constant, so the numerator is 0. The ratio 0/(x-2) is zero everywhere except at x=2. The left limit and right limit are both 0 as x approaches 2. Since these limits agree, the limit is said to be 0.
__
If you mean f(x) = ln(x) and you want the limit of (f(2) -f(x))/(x -2), that value will be -1/2.
Explanation: The value of the ratio is 0/0 at x=2, so we can find the limit using L'Hôpital's rule. Differentiating numerator and denominator, we have ...
lim = (-1/x)/(1)
The value is -1/2 at x=2.
if a train travels 420 miles in 24 hours, what is its unit rate of travel
Answer:
The unit rate of travel is 17.5 miles per hour.
Step-by-step explanation:
Hope this helps!
The unit rate of train that travels 420 miles in 24 hours is 17.5 miles/hr.
What is speed?
Speed is defined as the rate of change of distance covered with respect to time. Mathematically -
Speed [S] = Distance [D] / time [T]
Given is a train that travels 420 miles in 24 hours.
Unit rate means how many miles did the train covered in 1 hour.
From the definition of speed, we can write -
Speed = Distance/time
Mathematically -
[S] = [D] / [T]
[S] = 420/24
[S] = 17.5 miles/hr
Therefore, the unit rate of train that travels 420 miles in 24 hours is 17.5 miles/hr.
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a square tarp has an area of 64 square feet what is the length of one side of the tarp
Answer:
8
Step-by-step explanation:
So a rectangle that would be 4 cm high and 16 cm long has an area of 64 square cm. A square is a rectangle where the height and width are the same value, so you need to find a number, when multiplied by itself, will give you 64… which is to say the square root of 64. And that's 8. 8 x 8 = 64.
The product of two rational numbers can always be written as
an irrational number.
a whole number.
an integer
a fraction.
Answer:
D
Step-by-step explanation:
Because I said so
The product of two rational numbers can always be written as a fraction.
A rational number is a number that can be written as the quotient of two integer numbers.
Then if we have two rational numbers:
[tex]a = \frac{x}{y} \\\\b = \frac{z}{w}[/tex]
The product can be written as:
[tex]a*b = \frac{x}{y}*\frac{z}{w} = \frac{x*z}{y*w}[/tex]
Thus, the product of two rational numbers can always be written as a fraction.
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I’m a bit stuck on this question can I use a little help?
Answer:
x = 6; XZ = 27cm
Step-by-step explanation:
Since 4x + 3 is the whole line and the other two equations equal the full line, I will set up the equation as 4x + 3 = the sum of the other two lines since they are equal to each other.
4x + 3 = 8 + 2x + 7
4x + 3 = 15 + 2x
Isolate the variable
Subtract 2x from both sides
2x + 3 = 15
Subtract 3 from both sides
2x = 12
Divide 2 from both sides
x = 6
To solve for the full line, plug in 6 for x for the equation that represents the full line
4(6) + 3
24 + 3
27
At Grocery Mart, strawberries cost $2.98 for 2 lb. What is the unit rate
Answer: the unit rate is 1.49/1
or $1.49 per pound.
Step-by-step explanation:
Hi . i'm kinda stuck on this question .
Any help will be appreciated.
Please show workings ;
Solve the following expressions using laws of logarithm and using antilogarithm ;
1.[tex]\sqrt{69.5^2-30.5^2}[/tex]
2. [tex]\frac{371.2^\frac{1}{3}\times 76500 }{1125 \times 0.012}[/tex]
Answer:
62.4499840725.2396667Step-by-step explanation:
Refer to https://brainly.com/question/17913554 for the formulas and the method if not clear here1.................................................
√69.5^2 - 30.5^2 = √(69.5+30.5)((69.5- 30.5) =√100*39 =10√39 =antilog (log (10√39)) =antilog (1 + 1/2 log 39)= antilog (1 + 1/2*1.59106460703) =antilog (1.79553230351) =62.449982..................................................
371.2^(1/3)×76500/(1125×0.012) =371.2^(1/3)×76500/13.5 =371.2^(1/3) × 5666.66666667Solving the first part
antilog (log (371.2^(1/3))) = antilog (1/3 log(371.2)) =antilog (1/3*2.56960796755) =antilog (0.85653598918) = 7.186807Continuation
7.186807× 5666.66666667 = 40725.2396667Note. the numbers are not rounded
Hope it helps.
daniel is buying gas for his car gas costs 2.50 per gallon daniel typically spends around 30 to fill his gas tank, with a variance of up to $3 write an inequality to model this situation. please help asap
Answer:
The inequality should be 10.8 ≤ y ≤ 13.2
Step-by-step explanation:
When you graph this inequality you should place the two points on the number line (use closed circle because of the inequality sign) and the points should connect with a line segment.
The inequality expression to model the situation will be 10.8 ≤ y ≤ 13.2.
It is given that Daniel buys gas which costs 2.50 per gallon and typically he spends $30 to fill his tank.
We have to write an inequality to model this situation , if variance is $3.
What do you mean by variance ?
Variance is a measure of how data points differ from the mean i.e., 30 shows a variance of 3.
As per the question ;
Gas costs 2.5 per gallon and Daniel typically spends around $30 to fill his gas tank.
Variance given is $3.
So ;
The range will be ;
30 + 3 = 33
or
30 - 3 = 27
And the pending range of money spend (x) will vary as ;
27 ≤ x ≤ 33
So ;
No. of gallons (y) Daniel buys ;
27 ÷ 2.5 = 10.8 gallons
and
33 ÷ 2.5 = 13.2 gallons
So , range of gallon of gases will be , 10.8 ≤ y ≤ 13.2
Thus , the inequality expression to model the situation will be 10.8 ≤ y ≤ 13.2.
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a quadratic equation that has a discriminant of -10
Answer:
x^2 + 4x + 6.5 = 0
Step-by-step explanation:
The discriminant = b^2 - 4ac = -10.
Lets let a = 1, then:
b^2 - 4c = -10
4^2 - 4(6.5)
= 16 - 26 = -10.
so b = 4 and c = 6.5.
- so we can write our equation as
x^2 + 4x + 6.5 = 0 would fit the requirement.
What are the coordinates of the image of vertex D after a reflection across the x-axis? (5, 3) (–5, –3) (–3, 5) (3, –5)
The coordinates of the image of vertex D after a reflection across the x-axis will be (5, 3). Then the correct option is A.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry. But flip the image.
The triangle ΔDEF is given below.
If the triangle ΔDEF is reflected across the x-axis, then the triangle will be named as ΔD'E'F'.
The vertex of the triangle D will be reflected into the first quadrant.
Then the coordinate of the vertex D' will be (5, 3).
The coordinates of the image of vertex D after a reflection across the x-axis will be (5, 3).
Then the correct option is A.
The graph is given below.
More about the transformation of geometry link is given below.
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Answer:
A) (5, 3)
Step-by-step explanation:
If the parabola of the form y = a(– h)^2 + k is always shifted horizontally h units and vertically k uni
its vertex is alwaYs
Answer:
im confused
Step-by-step explanation:
Answer:
the answer is (h,k)
Step-by-step explanation:
i just did the activity on edge
If f( x ) = 2 x - 9, then f(3) = -3.
True or False
Answer:
True
Step-by-step explanation:
f(x)= 2x - 9
f(3) = 2 X 3 -9
f(3)=6-9
=-3
Answer:
true
Step-by-step explanation:
Evaluate f(3), then set it equal to −3
I need help with this im not sure how to do it
Answer:
a) 3^2 x 3^5 = 3^7
b) 7^8 divided by 7^2=7^6
c) (q^4)^3 =q^12
Step-by-step explanation:
What is 1/10 the value of 50
Answer:
5
Step-by-step explanation:
multiply 1/10 by 50
1/10×50= 5
Answer:
5
Step-by-step explanation:
1/10 x 50 = 5
Can sum1 help me plzz :) ill give brainlist
Answer:
34 hours
Step-by-step explanation:
358-35=323
323/9.50= 34
Plz help i dont undertand
Answer:
7. b; 8. c; 9.a
Step-by-step explanation:
p--> q
Q7. inverse: ~p --> ~q
~(~r)-->~s is r-->~s
Q8. contrapositive: ~q --> ~p
~p --> ~t
Q9. converse: q --> p
k --> ~h
Answer:
life is hard do it urself
Step-by-step explanation:
What is the output when the input is 5?
Answer:
d. 75
Step-by-step explanation:
5^2=25
25x3=75
Answer:
the output would be 75.
Step-by-step explanation:
f(x) = 5
f(5) = 3(5)^2
f(5) = 25 • 3
f(5) = 75
Henri conducts an experiment to determine who likes peanut butter more: boys or girls. He has 25 girls and 25 boys taste some peanut butter and then rate it on a scale of 1 - 10 with 1 being cannot stand and 10 being tastes delicious. He finds that the girls had a mean of 7 with a range of 9 and the boys had a mean of 8 with a range of 5. Which statement is true?
Complete question is;
Henri conducts an experiment to determine who likes peanut butter more: boys or girls. He has 25 girls and 25 boys taste some peanut butter and then rate it on a scale of 1 - 10 with 1 being cannot stand and 10 being tastes delicious. He finds that the girls had a mean of 7 with a range of 9 and the boys had a mean of 8 with a range of 5. Which statement is true?
A) On average, girls like peanut butter more than boys.
B) The person who rated peanut butter the worst was a boy.
Reactivate
C) Girls varied more in how they liked peanut butter than the boys did.
D) There is not enough information to know if any of the above are true
Answer:
Option C) Girls varied more in how they liked peanut butter than the boys did.
Step-by-step explanation:
From the options the most appropriate will be option C which says: Girls varied more in how they liked peanut butter than the boys did..
This is because in the experiment, henri found out that the girls had a mean of 7 with a range of 9 and the boys had a mean of 8 with a range of 5.
The range of the girls responses are far higher than that of the boys.
So it means their ratings were more varied and not within similar ratings scale.
Solve for x. 4x^3 = 2x^-1
Step-by-step explanation:
4x^3=2x^-1
x^3-x^-1=2-4
x^2=-2
x=√2
How many zero pairs must be added to the function f(x) = x2 – 10x – 4 in order to begin writing the function in vertex form? 04 010 21 25
Answer:
Step-by-step explanation:
f(x) = x^2 – 10x – 4 can be put into "perfect square" form by calculating (-10/2)^5, or 25, and then adding and then subtracting 25 from x^2 - 10x - 4:
f(x) = x^2 – 10x – 4 becomes
f(x) = x^2 – 10x + 25 - 25 - 4, or
f(x) = (x - 5)^2 - 29
Comparing this to "vertex form," g(x) = (x - h)^2 + k,
we see that h = 5, k = -29, and so the vertex is at (h, k): (5, -29)
We need to add one zero pair (+25 - 25) here.
Answer:
The answer is 25.
Step-by-step explanation:
So it is D
PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!!!
Answer:
343.97
Step-by-step explanation:
The first one is 343.97. You times 324.5 with 6% also known as 0.006 which is 19.47.
Add 19.47 to 324.5 and you get 343.97
What is the absolute value of the complex number -4 -√2i?
A. √14
B. 3√2
C. 14
D. 18
In the San Gabriel Mountains in California, lookout station Running Deer is 18 kilometers due west of station Lazy Bear. The bearing from Running Deer to a fire directly south of Lazy Bear is S38.4°E. To the nearest tenth of a kilometer, how far is the fire from Running Deer?
Answer:
29.0 kilometers
Step-by-step explanation:
From the figure attached,
Lookout station Running Deer is at A, Station Lazy Bear is at B and Fire is at C.
Bearing from Running deer to Fire is S38.4°E.
Therefore, m∠SAC = m∠ACB = 38.4°
Distance between the stations Running Deer and Lazy Beer = 18 km
From the given triangle ABC,
Sin(C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{\text{AB}}{\text{AC}}[/tex]
Sin(38.4)° = [tex]\frac{18}{y}[/tex]
y = [tex]\frac{18}{\text{Sin}38.4}[/tex]
y = 28.978 ≈ 29.0 km
Therefore, distance between Fire and Running deer is 29 kilometers.
Find the value of x.
40° (6x + 2)°
Answer:
x = 8
Step-by-step explanation:
40 + 6x + 2 = 90 {Complementary angles}
Combine like terms
40+ 2 + 6x = 90
42 +6x = 90 {Subtract 42 form both sides}
6x = 90 - 42
6x = 48 {divide both sides by 6}
6x/6 = 48/6
x = 8
Bernie already has 13 plants in his backyard, and he can also grow 13 plants with every
seed packet he uses. How many seed packets does Bernie need to have a total of 65 plants
in his backyard?
seed packets
Answer:
5 seed packets
Step-by-step explanation:
65 divided by 13 is 5
How much would $100 invested at 6% interest compounded monthly be worth after 20 years ? Round your answer to the nearest cent
Answer:
$331.02
Step-by-step explanation:
Who do u do 3 divided by 4 1/2
Answer:
1 1/5
Step-by-step explanation:
by doing the recipeical 3/1 * 2/5
PLEASE HELP ME!!! HELP HELP HELP HURRY HURRY
The table below shows the fourth powers of different numbers:
Number (x)
1 ,-1 ,3,-3
Fourth power of the number (y) 1,1,81,81
Part A: Does the table represent y as a function of x? Justify your answer. (5 points)
Part B: The total cost f(x), in dollars, for renting a townhouse for x months is shown below:
f(x) = 875x + 750
What is the value of f(12) and what does f(12) represent? (5 points)
Answer:
Part A: yes it is a function because every input value (x) produces only one output value (y).
Note: It is still a function if different x values produce the same y value, in this case, x=1 and x=-1 produce the same y value 1, but it is NOT a function if y=1 and y=-1 have the same x value x=1.
Part B: when x=30: f(30)=17*30+50=560
if means that the cost of renting the truck for 30 hours is 560 dollars.
this help?
