Answer:
x = 7
Step-by-step explanation:
RT= RS+ST
70 = (7x +2 ) + (2x+5)
70 = 9x + 7
9x= 70 - 7
9x = 63
x= 63/ 9
x = 7
I hope I helped you^_^
Answer:
[tex]given \: that \: total \: length \: rt = 70 \\ \: then \: rs + st = rt \\ 7x + 2 + 2x + 5 = 70 \\ 9x + 7 = 70 \\ 9x = 63 \\ x = \frac{63}{9} \\ x = 7 \\ thank \: you[/tex]
ITS NUMBER 10. THAT I NEED HELP WITH
When is ignorance delightful
Answer:
Ignorance, or a lack of knowledge, isn't usually viewed as a good thing. However, there may be situations when you're happier not knowing the truth. A common expression used to describe these situations is “Ignorance is bliss.” This phrase is an idiom, which is means that it isn't meant to be taken literally.
I am super late
There is a plant whose growth can be represented by a linear function. At 1 week it is
2 inches tall and at 2 weeks it is 4 inches tall. Write a linear equation to represent the
growth of the plant.
O y = 2x + 2
O y = 2x
O y = 4x + 2
Answer:
y=2x
Step-by-step explanation:
we can set x=number of week, and y=inches
as you can see, 1 week-> x=1 :y=2(1) = 2 inches
2 week-> x=2 :y=2(2)=4 inches
**if we substitute x to y = 2x + 2 and y = 4x + 2, it will not works.
When a new cellphone is put on the market, the demand each month can be described by the function C of t is equal to negative square root of the quantity t squared plus 4 times t minus 12 end quantity plus 3 where C (t) represents the demand of the cellphone (measured in millions of people) and the time, t, is measured in months. Which of the following solution(s) are valid for a positive demand?
A function is positive where it is above the x-axis
The valid solution for positive demand are; t = 3, and t = 2
The reason the above values are correct is as follows:
Known parameters:
The given function of the demand is; [tex]C(t) = \mathbf{ -\sqrt{t^2 + 4 \times t - 12} +3}[/tex]
Where;
C(t) = The demand of the cellphone (in millions of people)
t = The number of months
The condition positive demand is C(t) ≥ 0
Therefore;
[tex]-\sqrt{t^2 + 4 \times t - 12} +3 \geq 0[/tex]
[tex]-\sqrt{t^2 + 4 \times t - 12} \geq -3[/tex]
[tex]\sqrt{t^2 + 4 \times t - 12} \leq 3[/tex]
t² + 4·t - 12 ≤ 9
t² + 4·t - 12 - 9 ≤ 0
t² + 4·t - 21 ≤ 0
(t - 3) × (t + 7) ≤ 0
∴ t ≤ 3, or t ≥ -7
At t = 2 < 3, we have;
C(2) = -√(2² + 4×2 - 12) + 3 = 3
At t = 1 < 3, the function is; C(1) = -√(1² + 4×1 - 12) + 3 (Is undefined)
Therefore, the valid solution for positive demand are;
t = 3, and t = 2
Learn more about the functions here:
https://brainly.com/question/24249596
Answer:
3,3
Step-by-step explanation:
Which of the following represents "10 less than n"?
Answer:
n - 10
Step-by-step explanation:
10 is less than n so subtract 10 from n
In a bakery, 70% of the doughnuts are glazed. If glazed doughnuts account for 21% of all pastries in the bakery, what percent of all pastries in the bakery are doughnuts
Answer:
30%
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary).
(5,-5) and (8,-8)
Answer:
4.2
Step-by-step explanation:
d=sqrt[(x1-x2)^2+(y1-y2)^2]
d=sqrt[(5-8)^2+(-5+8)^2]
d=sqrt[(-3)^2+(3)^2]
d=sqrt[9+9]
sqrt18=4.24
A square vegetable garden has side lengths of 9 feet. You plant flowers i
the center portion of the garden, a square that has side lengths of 5
feet.You divide the remaining space into 4 equal sections and plant
tomatoes,onions, zucchini, and peppers. What is the area of the pepper
section?
Answer:
14 Sq ft
Step-by-step explanation:
9×9=81
5×5=25
81-25=56
56÷4=14
IT
17) Between which two consecutive whole numbers does the length of the diagonal
fall? The length of the diagonal is between
a) 3 and 4 b) 4 and 5
c) 5 and 6 d) 6 and 7
V 18
기
D
Ос
Od
Answer:
4 and 5, closer to 4
Step-by-step explanation:
hope that helps>3
slove for w -22=4(w=2)-7w
Zachy plays a game. He earns and loses the following amounts of points throughout the entire game
-5
5
-5
-5
5
5
HELP!! Use the properties of addition to simplify this expression. 6-8 +6f-2f
Answer:
-2 + 4f
Step-by-step explanation:
6 - 8 + 6f - 2f
2(3 - 4 + 3f -f) [Distributive Property]
=> 2(-1 + 3f - f)
=> 2(-1 + 2f)
=> -2 + 4f
Answer:
4f-2
Step-by-step explan:
6-8+6f-2f
6-8+4f
4f-2
Jen has 2 quarters, 5 dimes, 3 nickels, and 2 pennies in her pocket.
25x^2-36x+9
with x=2
25x² - 36x +9, when x = 2
(25 × 2)² - (36 × 2) + 9
50² - 72 + 9
2 500 - 72 + 9
using BODMAS
2 500 + 9 - 72
2 509 - 72
= 2 437
Answer:
Step-by-step explanation:
25(2)^2-36(2)+9
25(4)-72+9
100-72+9
28+9
37
Delores works weekends at the local coffee shop. Last weekend, she worked for 7.5 hours on Saturday and 8 hours on Sunday. If she earns $9 per hour, how much did she earn last weekend?
Answer:
So she earned 148 dollars and 50 cents or 148.5
Step-by-step explanation:
Solve the formula for the indicated variable.
B = qn + q, for n
Answer:
n=B-q/q
Step-by-step explanation:
If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?
Answer:
[tex]x=14[/tex]
Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if [tex](x-4)[/tex] and [tex](y+3)[/tex] vary inversely, their product will be the same for all values of [tex]x-4[/tex] and [tex]y+3[/tex].
Let [tex]x=8[/tex] and [tex]y=2[/tex] as given in the problem. Substitute values:
[tex](8-4)(2+3)=(4)(5)=20[/tex]
Hence, the maintained product is [tex]20[/tex].
Thus, we have the following equation:
[tex](x-4)(y+3)=20[/tex]
Substitute [tex]y=-1[/tex] to find the value of [tex]x[/tex] when [tex]y=-1[/tex]:
[tex](x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}[/tex]
The value of the 7 in 37,560 is blank the value of the 7 and 4,720
Answer:
The value of the 7 in 37, 560 is greater than the value of the 7 in 4, 720.Step-by-step explanation:
In 37, 560, the value of 7 is 7, 000; in 4, 720, the value of 7 is 700.7, 000 > 700[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Please help me with A B and C
Answer:
b)A box from all 4 sides increases as the number increase
c)
Step-by-step explanation:
a+(n-1)d
a-first terms
d- difference
5+(n-1)4
5+4n-4
4n+1(the nth term)
so for 50th
its 4*50+1
Answer is 201 tiles
Hope this helps you :))
The smallest number when subtracted from the difference of the square of 29 and 22 gives a perfect square is
Answer:
Your answer is 33.
step- by step :
29×29-22×22=841-484
= 357
Closest square of 18 which is 324.
So, 357-324= 33. ans.
PLEASE HELP ME! I am suck on this math assignment
Hey there! I'm happy to help!
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QUESTION 18
Here is how you multiply a 2×2 matrix by a column vector (just one column matrix).
[tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] *\left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}ax&by\\cx&dy\\\end{array}\right][/tex]
Once you get that final matrix, you add the rows which will give you a final column vector. Let's do it with this question, as we are multiplying together the matrices A and v.
[tex]\left[\begin{array}{ccc}-1&4\\2&0\\\end{array}\right] *\left[\begin{array}{ccc}8\\6\\\end{array}\right] =\left[\begin{array}{ccc}-8&24\\16&0\\\end{array}\right] =\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex]
So, your answer is [tex]\left[\begin{array}{ccc}16\\16\\\end{array}\right][/tex].
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QUESTION 14
We have this equation of an ellipse and we need to solve for y. When we have a more complex equation to solve you get rid of the things furthest from the variable you are solving for first and then you get closer and closer to it.
[tex]\frac{x^2}{25} + \frac{y^2}{16}=1[/tex]
We subtract [tex]\frac{x^2}{25}[/tex] from both sides.
[tex]\frac{y^2}{16}=1-\frac{x^2}{25}[/tex]
We multiply both sides by 16.
[tex]y^2=1-\frac{x^2}{25}*16[/tex]
We square root both sides.
[tex]y=[/tex] [tex]\sqrt{1-\frac{x^2}{25}*16[/tex]
We can take a four out of our root (because 16 is a perfect square so it can be simplified more).
y= [tex]4\sqrt{1-\frac{x^2}{25}[/tex]
And we take out 1/5 (which is the square root of 1/25).
y=± [tex]\frac{4}{5}\sqrt{1-x^2[/tex]
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QUESTION 17
We see that Sea Slugs have 3/10 matches won, so they have won 30% of their matches.
From now on, they will be winning 2/3 of their games. Let's look at the answer options.
A. If they play 15 more games, they will win 10 of them. Our total matches will be 25 (our original 10+15). So, we will have 13/25, which is equal to 52%, so this is incorrect.
B. If they play 10 more games they win 6 2/3 games (like that makes any sense) for a total of 9 2/3 games out of 20. This is about 48%, so this is incorrect.
C. If they play 40 games, they are winning fractional games again. They win 29 2/3 games out of 50 total, which is about 59%, but not quite 60. This is also incorrect.
D. If they play 45 matches, they will win 30 games. Add the original 10 and you have 40 games. Our total is 55. 40/55 is about 73%, so they have passed that 60% threshold, so this is the correct answer.
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QUESTION 16
Our question tells us that if we have two numbers x and y, and we add them, it has to be 24 or greater. By saying it can be equal to 24 or greater, we are going to be using a ≤ or ≥ sign. The opening of the arrow always faces the equal or greater quantity, and in this case it is x+y, so it will look like x+y≥24.
This eliminates answer choices B and D as they do not have the equal part on the inequality.
Product means to multiply, so it will be written as xy. It has to be less than 60, so in this case the greater quantity is 60, so the arrow will opening towards 60, so it will look like xy<60.
So, our final answer is A.
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QUESTION 12
You can only multiply matrices if the number of columns in the first matrix is equal to the number of rows in the second. So basically the two interior numbers have to be the same (a,b) and (b,c). So, if we follow this, we get these answers:
2×2 times 2×1 YES
2×1 times 2×2= NO
3×3 times 3×1= YES
3×1 times 3×3= NO
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Have a wonderful day and keep on learning! :D
Please help me with this! Write the equation of the line in fully simplified slope intercept form. Explanation and answer please ^^
Answer:
y = -1/2x - 8
Step-by-step explanation:
y = -1/2x - 8
is the function in the graph non-linear?
Answer:
yeah, because it doesnt have a constant rate of change - if it did, then it would be linear
Step-by-step explanation:
Find the least common multiple (LCM) of 6 and 10,
O A. 60
O B. 20
O C. 40
O D. 30
Sin A 4/5.
Find
COSA + tan A
Answer:
Step-by-step explanation:
The opposite side (the one not connected to A) = 4
The hypotenuse is 5
The adjacent side needs to be found for the cosine and the tangent.
a^2 + b^2 = c^2
a = opposite side = 4
b = adjacent side = ?
c = hypotenuse = 5
4^2 + x^2 = 5^2
16 + x^2 = 25
x^2 = 25 - 16
x^2 = 9
x = sqrt(9)
x = 3
cos(A) = adjacent / hypotenuse = 3/5
Tan(A) = opposite / adjacent = 4/3
cos(A) + tan(A) = 3/5 + 4/3
cos(A) + tan(A) = 9/15 + 20/15 = 29/15
b) 20 labourers complete the construction of a building in 24 days. In how many days would 16 labourers complete the construction?
Answer:
16 labourers complete the construction
in 30 days
Step-by-step explanation:
mark me as a brainlist answer
You are adding two rational numbers with different signs.How can you tell if the sum will be positive, Negative,or Zero
When p= 12, t= 2, and s= 5, r= 18. If rvaries directly with p and inversely with the product of sand t, what is the
constant of variation?
Answer:
15
Brainliest, please!
Step-by-step explanation:
r = kp/(st)
p = 12, t = 2, s = 5, r = 18
18 = k(12)/(2)(5)
18 = 12k/10
12k = 180
k = 15
is 9.40 equal to 9.4
Answer:
no
Step-by-step explanation:
if it was 9.04 it would
its not equal because 9.40 is 10^2 but 9.4 is 10^1
The population of a city is increasing 4% per year and is now 7,200. If it continues to increase at the same rate, what will the population be after 3 years?
Answer:
A = 7200(1.04)^3
A = 8099
Step-by-step explanation: