Answer:
[tex]S_{60}=-4620[/tex]
Step-by-step explanation:
[tex]S_n=\frac{n}{2}[2a_1+(n-1)d]\\ \\S_{60}=\frac{60}{2}[2(100)+(60-1)(-6)] \\\\S_{60}=30[200+(59)(-6)]\\ \\S_{60}=30[200-354]\\ \\S_{60}=30[-154]\\\\S_{60}=-4620[/tex]
a room to be carpeted measures 16 feet in length and 12 feet in width the carpet costs 30 per square yard what is the total cost
A room area
Lenght × Width = 16 × 12
= 192 square feet
1 square yard = 9 square feet
so 1 square feet = 1/9 square yard
192 square feet = 192 × 1/9 square yard
= 64/3 square yard
Total cost
$30 × 64/3 = $640
-
16. Convert 100 meters per hour to inches per
second. (1 meter = 3.3 feet, 1 ft = 12 in, 1
hour = 60 minutes, 1 minute = 60 seconds)
(1.1 inch per second)
Answer:
0.106
Step-by-step explanation:
100 meters= 382 feet (per hour)
60 minutes in an hour
60 seconds in a minute
382/60=6.34 inches per minute (rounded to nearest tenth)
1 minute = 6.34 inches
6.34 / 60 = 0.106 (rounded to nearest thousandth)
Two similar triangles have a pair of corresponding sides of length 12 meters and 8 meters.
The larger triangle has a perimeter of 48 meters and an area of 180 square meters. Find the
perimeter and area of the smaller triangle.
Answer:
32 m, 80 m^2
Step-by-step explanation:
Ratio of their sides = 12 : 8 = 3 : 2
Ratio of their perimeter = 3 : 2
so 48 : perimeter of smaller triangle = 3 : 2
Perimeter of smaller triangle = 48 * 2 / 3 = 32 m
Ratio of their areas = 3^2 : 2^2 = 9 : 4
so 180 : area of smaller triangle = 9 : 4
Area of smaller triangle = 180 * 4 / 9 = 80 m^2
Answer pls! No spam!
Answer:
Check the attachment.
Just a bit more.. I need it at around 70, it’s at 60 right now.
Answer:
( -5, 4 )
Step-by-step explanation:
(y = x + 9) 2
y = -2x - 6
2y= 2x + 18
y = -2x - 6
3y = 12
y = 4
4 = x + 9
-9 - 9
-5 = x
Isaac and Juanita are collectin apples to make an apple pie. Isaac picks up 3 apples every minute and Juanita picks up 5 apples every two minutes. If they need 40 apples for a pie, about how long will it take both of them to collect enough apples?
Answer:
it will take Isaac 13.3... mins and 9 mins for Juanita
Step-by-step explanation:
I think
Answer:
7.3 minutes
Step-by-step explanation:
Isaac: 3 apples/minute
Juanita: 5 apples / 2 minutes = 2.5 apples/minute
Together: 5.5 apples/minute
40 apples / (5.5 apples/minutes) = 7.3 minutes
Pls help I don’t understand
It appears the graph goes through (0,3) and (5,6)
If so, then you have the correct slope and y intercept.
The formula is [tex]C = \frac{3}{5}n+3[/tex] which is the same as writing C = (3/5)n+3
Don't forget about the parenthesis around the 3/5.
We can verify this by plugging in n = 0 and you should get C = 3.
Also, if n = 5 then it leads to C = 6.
Un cuadrado mide de lado 15 cm. ¿Cuál es el área? *
Answer:
225 no estoy segura pero creo que es eso
What is half of 1 1/2 teaspoons
Answer:
The half of 1 1/2 tps would be 3/4 tsp.
Step-by-step explanation:
Hope This Helps
Have a Great Day
Answer:
3/4 tsp
Step-by-step explanation:
give guy above brainliest ig lolz
Two more than eleven times a number is equal to 24. What is the number?
Group of answer choices
2
4
6
9
Given the functions f(x) = 2x 5 and g(x) = x2 8, which of the following functions represents f[g(x)] correctly? f[g(x)] = 4x2 20x 32 f[g(x)] = 4x2 20x 25 f[g(x)] = 2x2 16 f[g(x)] = 2x2 21.
Functions of functions are evaluated by taking first's output as second's input. The representation of [tex]f[g(x)][/tex] is: Option D: [tex]f[g(x)] = 2x^2 + 21[/tex]
What are composite functions?Functions which are formed by composing two or more functions in a way that one's output is another's input are called composite functions. They are also called function of functions.
The given functions are
[tex]f(x) = 2x + 5[/tex][tex]g(x) = x^2 + 8[/tex]Then [tex]f[g(x)][/tex] will be evaluated as output of g(x) taken as input for f(x).
Thus,
[tex]f[g(x)] = 2[g(x)] + 5 = 2[x^2 + 8] + 5\\\\f[g(x)] = 2x^2 + 21[/tex]
[tex]f[g(x)] = 2[g(x)] + 5 = 2[x^2 + 8] + 5\\\\f[g(x)] = 2x^2 + 21[/tex]
Thus,
The representation of [tex]f[g(x)][/tex] is: Option D: [tex]f[g(x)] = 2x^2 + 21[/tex]
Learn more about composite functions here:
https://brainly.com/question/24780056
help pls math question
Step-by-step explanation:
Florence Nightingale OM RRC DStJ was an English social reformer, statistician and the founder of modern nursing. Nightingale came to prominence while serving as a manager and trainer of nurses during the Crimean War, in which she organised care for wounded soldiers at Constantinople.
plz help help plz plz plz plz
Answer:a=70
c=110
b=110
Step-by-step explanation:
The solution is in the attached file filatache
Answer:
A = 70
B = 110
C = 110
Step-by-step explanation:
A is opposite of the 70 degree angle, and vertical angles are equal, so it is also 70 degrees.
A straight line is 180 degrees, so 70 + B = 180, making B = 110 degrees.
Both of these rules apply for C, making it also 110 degrees.
In an experiment to learn whether Substance M can help restore memory, the brains of 20 rats were treated to damage their memories. First, the rats were trained to run a maze. After a day, 10 rats (determined at random) were given M and 7 of them succeeded in the maze. Only 2 of the 10 control rats were successful. The two-sample z test for "no difference" against "a significantly higher proportion of the M group succeeds"
a) should not be used because the Large Counts condition is violated.
b) gives z = 2.25, P < 0.02
c) gives z = 2.60, P < 0.005
d) should not be used because the Random condition is violated
e) gives z = 2.25, P < 0.04 but not < 0.02
The number of rats in the sample are less than 30, therefore, according
to the central limit theorem, cannot approximate the population.
Response:
a) Should not be used because the Large Counts Condition is violated
Which condition are necessary for the hypothesis test?The proportion of the rats given M that succeeded, [tex]\hat p_1[/tex] = 7 ÷ 10 = 0.7
The proportion of the control rats that succeeded, [tex]\hat p_2[/tex] = 2 ÷ 10 = 0.2
H₀: [tex]\hat p_1[/tex] = [tex]\hat p_2[/tex]
Hₐ: [tex]\hat p_1[/tex] > [tex]\hat p_2[/tex]
The z-test formula for the difference between two proportion is given as follows;
[tex]Z= \mathbf{\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}}[/tex]
Where;
[tex]\hat p = \dfrac{7 + 2}{10 + 10} = 0.45[/tex]
[tex]Z=\dfrac{0.7-0.2}{\sqrt{0.45\times (1-0.45) \times \left (\dfrac{1}{10}+\dfrac{1}{10} \right )}} \approx \mathbf{ 2.25}[/tex]
p = 1 - p(z < 2.25) = 1 - 0.9878 = 0.0122
However, the number of rats in the sample, n are less than 30
Therefore;
The sample is not large enough for the test compared to the population,
and for a normal approximation which gives;
a) Should not be used because the Large Counts Condition is violated
Learn more about normal distribution here:
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. Find The area of the rhombus.
The area of the rhombus is_______
[tex] \\ [/tex]
Diagonal 1 = 19 ft[tex] \\ [/tex]
Diagonal 2 = 29 ft[tex] \\ [/tex]
To find:[tex] \\ [/tex]
Area of figure (rhombus)[tex] \\ [/tex]
Solution:-[tex] \\ [/tex]
Ad we know Area of rhombus has two Formulas:-
[tex] \\ [/tex]
First :-
Area = (Diagonal 1 × Diagonal 2)/2
[tex] \\ [/tex]
Second:-
Area = B × h
[tex] \\ [/tex]
As we know in this case base and height aren't given, so we will use first formula to find rhombus.
[tex] \\ [/tex]
We know:-
[tex] \\ [/tex]
[tex] \dashrightarrow \sf{}Area \: of \: rhombus = \dfrac{diagonal_1 \times diagonal_2}{2} \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf{}Area \: of \: rhombus = \dfrac{19 \times 29}{2} \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \sf{}Area \: of \: rhombus = \dfrac{551}{2} \\ [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \bf{}Area \: of \: rhombus = 275.5 \: {ft}^{2} \\ [/tex]
[tex] \\ [/tex]
know more :-
[tex] \\ [/tex]
[tex]\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}[/tex]
Evaluate the expression below for x = 4 and y = 6: x2+ 2 (x+ y)
Answer:
The answer is 36
Step-by-step explanation:
Given;x² + 2(x + y)x = 4y = 6To Find;The value of x² + 2(x + y)Now, Evaluate
x² + 2(x + y)
(4)² + 2(4 + 6)
16 + 2(10)
16 + 20 = 36
Thus, The answer is 36
-TheUnknownScientist 72
Answer:
the answer is 36
hope it's helpful
a system of linear equations as represented by the two tables below what is the solution to the system table 1 x = -5, -2, 0, 3 y = 6, 3, 1, -2, table 2 x = 0, 1, 2, 3 y = -7 -4, -1, -2
Answer:
(3, - 2 )
Step-by-step explanation:
In Table 1 when x = 3 , y = - 2
In Table 2 when x = 3 , y = 2
Then the solution to the system is (3, - 2 )
The Sugar Sweet Company is going to transport its sugar to market. It will cost $6500 to rent trucks plus $250 for each ton of sugar transported. The total cost, C (in dollars), for transporting n tons is given by the following.
c=6500+250n
1.If the total cost is $12,250, how many tons is the company transporting?
2.What is the total cost of transporting 14 tons?
Answer:
An equation that relates cost to the amount of sugar S C = 6500 + 250s the total cost is $1120 The total cost of transporting 19 tons of sugar at 250 each C = total cost C =6500 + 250(19) total cost = 6500 + 4750 = 11250
Step-by-step explanation:
The graph shows a point at (4,1) and a line segment with endpoint at (2,2) and (6,2) This line segment will be dilated with the point of dilation at (4, 1) and a scale factor of 2. What is the 2-coordinate of
one of the endpoints of the dilated segment?
Dilation involves changing the size of a figure
The endpoints of the image are (0,3) and (8,3)
How to determine the coordinates of the imageThe coordinates of the pre-image are give as:
(2,2) and (6,2)
The scale factor is given as:
k = 2
The center of dilation is given as:
(a,b) = (4,1)
The coordinates of the image are then calculated as:
(x,y) = (k(x -a) + a, k(y -b) + b)
For (2,2), we have:
[tex](x,y) \to (2(2 -4) + 4, 2(2 - 1) + 1)[/tex]
[tex](x,y) \to (0, 3)[/tex]
For (6,2), we have:
[tex](x,y) \to (2(6 -4) + 4, 2(2 - 1) + 1)[/tex]
[tex](x,y) \to (8, 3)[/tex]
Hence, the endpoints of the image are (0,3) and (8,3)
Read more about dilation at:
https://brainly.com/question/3457976
Need number 5 really badly
a = b
b = 180° - 130° = 50°
so a = 50°
Find the ratios for the trig functions below
sin A =
cos C =
Answer:
Sin A: 35/37
Cos C: 35/37
Step-by-step explanation:
Sin A: 35/37
Cos C: 35/37
Using acronym SohCahToa we know
Sin is Opposite/Hypotenuse
Cos is Adjacent/Hypotenuse
With each problem we mark by the letter given to create adjacent side.
I hope this helps!
What is the product of 25.785 and 0.27?
Answer:
6.96195
Step-by-step explanation:
Solve by multiplying
25.785
0.270
------------
6.96195
Which of the following statements about variables is false? a. Mathematical operations can be performed on a variable. b. The variable will always be the letter x. c. A mathematical statement can include more than one variable. d. A variable is a letter used to represent an unknown quantity.
Answer:
b. The variable will always be the letter x (false)
Step-by-step explanation:
Variables can be any letter or symbol. The letter x is often used as a variable, but that is not the only choice. Many formulas, for example, make use of variables that have letters reminding you what they stand for.
For example, the formula ...
A = 1/2(b1 +b2)h
uses the variables A, b1, b2, and h to represent area, base-1, base-2, and height, respectively. The letter x is not used at all.
When solving by substitution; you first must
A- get the numbers by themselves
B-decide if you are substitution
C-start solving the problem as you would an equation
B because thd mbajdidiidid
A triangle has an area of 13.5 square miles and a height of 4.5 miles. What is the length
of the base?
Answer:
6 miles
Step-by-step explanation:
Area is :
[tex]A = \frac{1}{2} hb[/tex] OR [tex]A = \frac{hb}{2}[/tex]
So base is :
[tex]b = 2 \frac{A}{h}[/tex]
Substituting values given:
b = 2 × (13.5÷4.5)
b = 2×3
b=6
Answer:
the length of the base= 6miles
Step-by-step explanation:
Area of triangle =1/2 *Base*Hight
Now we sub the values in the formula:
13.5 = 1/2 * (length of the base) * 4.5
length of the base = (2 * 13.5)/4.5
length of the base = 6 miles
1. Angle BAC = 35° and angle BCA = 20°. What is the measure of angle BAD?
2. What is the measure of angle ABC?
Check the picture below.
2
math
pls help geniuses!!
———
Answer:
( -2, 9 )
= C
Step-by-step explanation:
Fill in the blank with the correct term or number to complete the sentence : a fraction is written in simplest form when the GCF of the numerator and the denominator is
Answer:
A fraction is written in simplest form when the GCF of the numerator and the denominator is 1.
Step-by-step explanation:
if both still shared common factors you could keep reducing the fraction
HELP PLEASE~~~
ill give brainlyest
Answer:
the correct answer is 5 for the first one and 20 for the second one
Step-by-step explanation:
hope this helps
It’s kinda new to me
Step-by-step explanation:
B) False
7:5 is reciprocal of 5:7