Answer:
- [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{7}{10}[/tex] ÷ [tex]\frac{2}{5}[/tex]
Leave the first fraction
Change division to multiplication
Turn the second fraction upside down
= - [tex]\frac{7}{10}[/tex] × [tex]\frac{5}{2}[/tex] ← cancel 5 and 10 by 5
= - [tex]\frac{7}{2}[/tex] × [tex]\frac{1}{2}[/tex]
= - [tex]\frac{7(1)}{2(2)}[/tex]
= - [tex]\frac{7}{4}[/tex]
Shawn and Mark want to save $225.00 . Shawn has $16.00 and saves $10.00 a week . Mark has $22.00 and saves $7.00 each week . Which equation can be used to find the number of week it will take them ? A. 26x - 29x = 225
B. 38x + 17 = 225
C. 55x = 225
D. 38 + 17x = 225
Answer:
D
Step-by-step explanation:
Shawn
Let the number of weeks = w
The beginning amount = 16 dollars
The amount per week is 10 dollars
The number of weeks is 10x
Equation
Savings = 16 + 10x
Mark
Let the number of weeks = w
The beginning amount = 22 dollars
The amount per week is 7 dollars
The number of weeks is 7x
Equation
savings = 22 + 7x
But they are working together so their separate equations must be added.
Total Savings= 16 + 10x + 22 + 7x = 38 + 17x
Answer: 17x + 38 = 225
para ayudar a una fundación, algunos estudiantes de grado séptimo decidieron reunir alimentos y donarlos. Andrea aporto 2,5 hg de arroz, mateo llevo - kg de frijol, catalina ayudo con - kg de arroz y juan coopero con 3,75 kg de frijol A) ¿ cuanto arroz y cuanto frijol recogieron en total B) ¿Qué recogieron mas, arroz o frijol?
Answer:
c
Step-by-step explanation:
Which equation represents a line that passes through ( -2 , 4 ) and has the slope of 2/5
Answer:
y = 2/5x +24/5
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 2/5 x +b
Substitute the point into the equation and solve for b
4 = 2/5(-2)+b
4 = -4/5 +b
Add 4/5 to each side
20/5 +4/5 = b
24/5 = b
y = 2/5x +24/5
What is the measure of jm
3/z when z=2 SORRY FOR HAVING 2 QUESTIONS IN A ROW
3/z when z = 2
= 3/2
= 1.5
This is the answer
Answer:
[tex]3/z\: when\:z=2[/tex]
[tex]\frac{3}{z}=2[/tex]
[tex]\frac{3}{z}z=2z[/tex]
[tex]2z=3[/tex]
[tex]\frac{2z}{2}=\frac{3}{2}=z=\frac{3}{2}[/tex]
[tex]z=1.5\right[/tex]
OAmalOHopeO
PLEASE HELP ME ASAPP
Answer:
B. perpendicular
Step-by-step explanation:
the lines AC and CH touch creating a 90 degree angle, so they are perpendicular lines
What is the value of x
Answer:
The value of x is any number because x is a variable that's in algebra
Which table shows a proportional relationship between a and b?
Answer:
It is c
Step-by-step explanation:
Solve: f(x) = (x + 1)(x + 1)
Answer:
f(x) = x² + 2x + 1
Step-by-step explanation:
you know how to multiply 2 expressions ?
let's say in general we have
(a + b)(c + d)
you take one part of one expression and multiply it with all parts of the other expression, then you take the second part of the first expression and multiply it with all parts of the other expression, then a potential third part, then a fourth part and so on, and you add all these things together (well, depending on the actual signs, of course).
so, we get for this simple generic example
a×c + b×c + a×d + b×d
now we use that understanding for our question here.
(x+1)(x+1) = x×x + 1×x + x×1 + 1×1 = x² + x + x + 1 = x² + 2x + 1
need help in these 2 last questions!!!
Question 9
The point (30,15) means that x = 30 and y = 15 pair up together.
Similarly, (40,25) means we have x = 40 and y = 25 paired up.
Apply the slope formula to get
m = (y2-y1)/(x2-x1)
m = (25-15)/(40-30)
m = 10/10
m = 1
The slope is 1.
It tells us that each time y goes up by 1, x is also increasing by 1.
slope = rise/run = 1/1
rise = 1, run = 1
The rise is the change in y, the run is the change in x.
This means the plant's height (y) goes up by 1 cm each time the number of days (x) goes up by 1.
In short, the plant's height is increasing by 1 cm per day
Answer: Choice D========================================================
Question 10
y varies directly with x, so y = kx for some constant k.
We're then told that x = -1 and y = -2 pair up together.
Let's find k based on those items
y = kx
y/x = k
k = y/x
k = -2/(-1)
k = 2
So y = kx becomes y = 2x
Then we're asked to find x when y = -4
y = 2x
y/2 = x
x = y/2
x = -4/2
x = -2
Answer: Choice DWork out, giving your answer in its simplest form:
4/7 / 2 1/3
Answer:
4
Step-by-step explanation:
4/7 × 21÷3
4/7×7
=4
this is the answer ....thank you
Help!! Please! appreciate it !!
Answer:
I'm pretty sure you are intended to pick AAS.
Step-by-step explanation:
As it stands, AAS. But this can be an unreliable theorem. If you show that the third angles are equal (which they are) using the fact that if two angles of a triangle are equal to the corresponding angles of another triangle, then the third angle is as well. That means that you can use the much more reliable ASA.
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Answer:
B just did the test
Step-by-step explanation:
|7-4x|>1 como se resuelve está inecuación con valor absoluto??
Answer:
Step-by-step explanation:
te da x<3/2 y x<2, pero la segunda solucion abarca la primera. Por lo tanto creo q seria x<2
Please help!!!!
Oak wilt is a fungal disease that infects oak trees. Scientists have discovered that a single tree in a small forest is infected with oak wilt. They determined that they can use this exponential model to predict the number of trees in the forest that will be infected after t years.
f(t) = e^0.4t
1. The scientists believe the forest will be seriously damaged when 21 or more of the forest’s 200 oak trees are infected by oat wilt. According to their model, how many years will it take for 21 of the trees to become infected?
Type the correct answer in the box. Use numerals instead of words. Round your answer to the nearest tenth.
2. Rewrite the exponential model as a logarithmic model that calculates the number of years g (x) for the number of infected trees to reach a value of x.
To solve this question, we need to solve an exponential equation, which we do applying the natural logarithm to both sides of the equation, both to find the needed time and to find the inverse function. From this, we get that:
It will take 7.6 years for 21 of the trees to become infected.The logarithmic model is: [tex]g(x) = \frac{\ln{x}}{0.4}[/tex]Number of trees infected after t years:
The number of trees infected after t years is given by:
[tex]f(t) = e^{0.4t}[/tex]
Question 1:
We have to find the number of years it takes to have 21 trees infected, that is, t for which:
[tex]f(t) = 21[/tex]
Thus:
[tex]e^{0.4t} = 21[/tex]
To isolate t, we apply the natural logarithm to both sides of the equation, and thus:
[tex]\ln{e^{0.4t}} = \ln{21}[/tex]
[tex]0.4t = \ln{21}[/tex]
[tex]t = \frac{\ln{21}}{0.4}[/tex]
[tex]t = 7.6[/tex]
Thus, it will take 7.6 years for 21 of the trees to become infected.
Question 2:
We have to find the inverse function, that is, first we exchange y and x, then isolate x. So
[tex]f(x) = y = e^{0.4x}[/tex]
[tex]e^{0.4y} = x[/tex]
Again, we apply the natural logarithm to both sides of the equation, so:
[tex]\ln{e^{0.4y}} = \ln{x}[/tex]
[tex]0.4y = \ln{x}[/tex]
[tex]g(x) = \frac{\ln{x}}{0.4}[/tex]
Thus, the logarithmic model is:
[tex]g(x) = \frac{\ln{x}}{0.4}[/tex]
For an example of a problem that uses exponential functions and logarithms, you can take a look at https://brainly.com/question/13812761
Given sin
=
=
V23 and tan o
find cos 0.
23
11 )
12
?
COS 0 =
TO
Answer: [tex]\frac{11}{12}[/tex]
Step-by-step explanation:
Use trigonometry (shown in image below) to find the 3 side-lengths:
The side opposite of θ = [tex]\sqrt{23}[/tex]The base side adjacent to θ = 11The hypotenuse = 12According to right triangle trigonometry:
cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Substitute in the values:
cos θ = [tex]\frac{11}{12}[/tex]
Complete the statements for the graph of f(x)=|x|.
The domain of the function is
______________
The range of the function is
______________
The graph is ____ over the interval (0,♾)
The graph is ____ over the interval (♾,0)
below
Step-by-step explanation:
all real numbers
[0,∞]
increasing
decreasing
Can someone help me out please
Answer:
351.9
Step-by-step explanation:
Surface area of a cylinder,
2πr²+2πrh, where r = radius = 4 and h = height = 10
2×π×4²+2×π×4×10
= 112π
= 351.9 (rounded to the nearest tenth)
Answered by GAUTHMATH
HELP?h?e?l?pppppppppppppppppppppp
Answer:
Yes
Step-by-step explanation:
N is the centroid of the triangle. Find XN if XG = 33
Answer:
XN = 22
Step-by-step explanation:
Recall: the Centroid theorem states that the Centroid of a triangle is ⅔ of the distance any vertex of the triangle to the midpoint of the side opposite to it.
This implies that:
XN = ⅔(XG)
XG = 33
Substitute
XN = ⅔(33)
XN = 2*11
XN = 22
In ΔFKR, which side is included between ∠F and ∠R?
Answer:
First choice
Step-by-step explanation:
It gives you the endpoints of the included side, F and R. Therefore, the side is FR or RF.
Meghan and her sister are going ice skating. It costs $7.25 per person plus $4 for each person's skate rental. Meghan has her own ice skates. But her sister needs to rent them. Meghan gives the cashier $20 for their admission and her sister's skate rental. How much change should she receive?
Answer:
the total amount of change she should receive is $1.50
Step-by-step explanation:
$7.25+$7.25= $14.50
$20.00-$14.50=$5.50
$5.50-$4.00= $1.50
No idea how to do
[tex]\frac{4r + 20}{r + 5}[/tex]
when r ≠ 5 ?
Factorize the numerator:
4r + 20 = 4r + 4×5 = 4 (r + 5)
I think you meant to say r ≠ -5, which means r + 5 ≠ 0, so that the denominator is never zero and so the expression is defined (no division by zero). This lets you cancel the factor of r + 5 in the numerator with the one in the denominator:
(4r + 20)/(r + 5) = 4 (r + 5)/(r + 5) = 4
Choose the correct simplification of the expression b5 ⋅ b4.
b
b9
b20
b−1
Answer:
b20
Step-by-step explanation:
Determine the measure of segment QV
Answer:
QV = 4x-1
Step-by-step explanation:
1) segments RS and RQ are equivalent
2) segments SV and QV meet at the same point, and start from opposite sides of segment SQ
so the length of QV would be equal to the length of SV.
What is the range of the function on the graph?
Sia weighs 4.5 kg more than raima. If their total weight is 140kg. find Sia's weight
74.5kg
Step-by-step explanation:
(140kg ÷ 2 = 70kg) 70kg - 4.5kg = 65.5 (65.5 is raima's weight) 70kg +4.5kg = 74.5kg (74.5kg is sia's weight)
Anyone know the answer?
Answer:
A. CentroidStep-by-step explanation:
The centroid of a triangle is the point where the three medians coincide.
Here,
The three medians coincide at point Z so it's the centroid
The unit diget is twice the tens diget if the number is doubled it will be 12 more then the reversed number fine the number
9514 1404 393
Answer:
48
Step-by-step explanation:
Let t represent tens digit.
Double the number will be ...
2(10t +2t) = 24t
The reversed number is ...
10(2t) +t = 21t
If the doubled number is 12 more than the reversed number, we have ...
24t = 21t +12
3t = 12
t = 4
The number is 48.
_____
Check
The doubled number is 96, and the reversed number is 84. 96 -84 = 12.
Whats his mistake and the correct awnser
Answer:
θ ≈ 35.7°
Step-by-step explanation:
His mistake was in using the wrong trig. ratio
Instead of using cosine he should have used the sine ratio
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{12}[/tex] , then
θ = [tex]sin^{-1}[/tex] ([tex]\frac{7}{12}[/tex] ) ≈ 35.7° ( to the nearest tenth )
