Answer:
Multiply the area of the base by the height and divide by 3.
Step-by-step explanation:
V = (1/3)Bh
where B = area of the base, and
h = height
Answer: Multiply the area of the base by the height and divide by 3.
Answer:
We khow that the volume of a pyramid is equal the product of the base and the height over 3
So he just needs to multiply them together then divide the result by 3
plz help !! write two real world situations that you can model using the exponential function f(x)=2 to the power of x
Answer:
Two real world situations are shown below.
Step-by-step explanation:
Initial population of a certain bacteria is 1 thousand and the population doubles in each hour. So, population of bacteria (in thousands) after x hours is
[tex]f(x)=1(2)^x[/tex]
[tex]f(x)=(2)^x[/tex]
A person invests 1 lakh rupees in shares and the amount is twice at the end of each year. So, total amount (in lakhs) after x years is
[tex]f(x)=1(2)^x[/tex]
[tex]f(x)=(2)^x[/tex]
the number 792 and 990, written as the product of their prime factors are 792 = 23 x 32 x 11 and 990 = 2 x 9 x 5 x 1. Hence, find the greatest whole number that can divide both 792 and 990 exactly.
Answer:
198
Step-by-step explanation:
If an apple has a mass of 25 kg and a momentum of 50 kg-m/s
south, what is its velocity?
O 5 m/s south
O 125 m/s north
0 0.2 m/s south
2 m/s south
Answer:
2m/s south
Step-by-step explanation:
p = mv
Where p is the momentum, m is the mass, while v is the velocity.
Given that
m = 25kg
v = ?
p = 50kgm/s
Substituting the values into the formula.
50kgm/s = 25×v
50kgm/s = 25v
Divide both sides by 25
v = 50/25
v = 2m/s
From the option list, the answer is
2m/s south
Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, adjacent, or vertical.
Answer:
a and b are examples of a vertical pair.
Step-by-step explanation:
Vertical pairs are equal to each other with the same degrees.
VERY MAD NOONE WILL ANSWER ME
Answer: Only C
Step-by-step explanation:
Equation C simplified to 0 = 0, meaning x has no effect on the equation and cancels out. Thus, it can be any value.
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
x + 3y = 9
y = x-5
A. (6,3)
B. (3,-2)
C. (1,-5).
D. (6,1)
Answer:
D (6,1)
Step-by-step explanation:
[tex]x + 3y = 9[/tex]
[tex]y = x-5[/tex]
When [tex]y = x-5[/tex], it means we don't need to move the variables to the left side and right side. We can use [tex]y = x-5[/tex] to substitute into the first equation [tex]x + 3y = 9[/tex] directly.
[tex]x + 3y = 9[/tex]
[tex]x+3(x-5)=9[/tex]
[tex]x+3x-15=9[/tex]
[tex]4x=9+15[/tex]
[tex]4x=24[/tex]
[tex]x=6[/tex]
When x=6, we can substitute the value of x into any equation whatever you want. You can choose [tex]x + 3y = 9[/tex] or [tex]y = x-5[/tex]. I choose [tex]y = x-5[/tex] is easier to get the value of y.
When x=6, substitute into [tex]y = x-5[/tex]
[tex]y=6-5[/tex]
[tex]y=1[/tex]
Hooray, now you have the value of x and y which are x=6 and y=1.
I hope you will understand the answer.
You can ask any question here if you still cannot get the point. Don't be shy.
Answer:
d (6,1)
Step-by-step explanation:
a pex
PLZ HELP!!! 20 POINTS how many solutions does this system have? x minus 3 y = 4. Negative 2 x + 6 y = 3. one two an infinite number no solution
Answer:
No solutions.
Step-by-step explanation:
x minus 3y = 4
x - 3y = 4
2x - 6y = 8
negative 2x + 6y = 3
-2x + 6y = 3
2x - 6y = 8
-2x + 6y = 3
(2x - 2x) + (-6y + 6y) = 8 + 3
0 + 0 = 11
0 = 11
Since this statement is false, the system has no solutions.
Hope this helps!
The statement; 'x minus 3 y = 4. Negative 2 x + 6 y = 3 has no solution'
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given system of equation;
x minus 3y = 4 means x - 3y = 4
2x - 6y = 8
negative 2x + 6y = 3 means -2x + 6y = 3
Solving;
2x - 6y = 8
-2x + 6y = 3
(2x - 2x) + (-6y + 6y) = 8 + 3
0 + 0 = 11
0 = 11
Since this statement is false, the system has no solutions.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
Personnel selection. Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 12 finalists, what is the probability of selecting (A) 3 females and 2 males? (B) 4 females and 1 male? (C) 5 females? (D) At least 4 females?
Answer:
The answer is below
Step-by-step explanation:
The possible ways of choosing r items from a total of n item is given as C(n,r) = [tex]\frac{n!}{(n-r)!r!}[/tex]
Suppose that 6 female and 6 male applicants have been successfully screened for 5 positions.
Since they are 12 finalists and only 5 positions, the total number of possible outcomes is:
[tex]Total\ number\ of \ outcome (n(s))=C(12,5)=\frac{12!}{(12-5)!5!} =792[/tex]
A) 3 females and 2 males
The possible ways of choosing 3 females and 2 males is given as:
[tex]n(e)=C(6,3)*C(6,2) = \frac{6!}{(6-3)!3!}* \frac{6!}{(6-2)!2!}=20*15=300[/tex]
probability of selecting 3 females and 2 males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{300}{792}=0.379[/tex]
B) 4 females and 1 males
The possible ways of choosing 4 females and 1 males is given as:
[tex]n(e)=C(6,4)*C(6,1) = \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=15*6=90[/tex]
probability of selecting 4 females and 1 males P(E) = [tex]\frac{n(e)}{n(s)}=\frac{90}{792}=0.1136[/tex]
C) 5 females
The possible ways of choosing 5 females is given as:
[tex]n(f)=C(6,5) = \frac{6!}{(6-5)!5!}=6[/tex]
probability of selecting 5 females = [tex]\frac{n(f)}{n(s)}=\frac{6}{792}[/tex]
(D) At least 4 females
This can be done by choosing 4 females out of 6 females i.e. C(6,4) , 5 females out of 6 females i.e C(6,5) and 1 male out of six male i.e (6,1)
The possible ways of choosing atleast 4 females is given as:
[tex]n(h)=C(6,5)*C(6,4)*C(6,1)= \frac{6!}{(6-5)!5!}* \frac{6!}{(6-4)!4!}* \frac{6!}{(6-1)!1!}=6*15*6=540[/tex]
probability of selecting atleast 4 females = [tex]\frac{n(h)}{n(s)}=\frac{540}{792}[/tex]
PLZ HELP!!! BRAINLIEST AND POINTS!!!
The answer is for this question is c
2(3x+2)+2(2x-1)
=10x+2
This is a polynomial
So the answer is c
9 A skier travelling in a straight line up a hill experiences a constant deceleration.
At the bottom of the hill, the skier has a speed of 16ms- and, after moving up
the hill for 40 s, he comes to rest. Find:
a the deceleration of the skier
b the distance from the bottom of the hill to the point where the skier comes to rest.
Answer:
a) deceleration = 0.4 m/s^2
b) distance = 320m
Step-by-step explanation:
a)
using formula a = (v-u)/t,
acceleration a = unknown (deceleration is the negative of acceleration)
final velocity v = 0 m/s (rest)
initial velocity u = 16 m/s
time t= 40s.
a = (0-16)/40
a = -0.4
Hence deceleration = 0.4 m/s^2
b)
Use formula v²-u² = 2as
distance s = unknown
0²+16² = 2(-0.4)(s)
s = 320m
d. An effort of 10 N is applied to lift a load of 50 N. If the effort arm
is 10 cm, calculate the load arm, input work and output work
[Ans: 2 cm, 100 Nm, 100 Nm)
Answer:
Output work = 1Nm
Input work = 1Nm
Load arm = 0.02m
Step-by-step explanation:
Given the following :
Effort applied = 10N
Load = 50N
Effort distance = 10cm = 10/100 = 0.1m
Calculate : the load arm, input work and output work
Input work = Effort × distance moved by effort
Input work = 10N × (0.1)m = 1J
B) Load arm or load distance :
Mechanical advantage (MA) = load / effort
MA = 50 / 10
MA = 5
MA = input distance / output distance
5 = 0.1 / load arm
load arm = 0.1 / 5
load arm = 0.02m
C.) Output work :
Load × load distance
50N × 0.02
Output work = 1J
A. True
B. False
Plz answer
Answer:
TRUEStep-by-step explanation:
≅ mens the triangles are congruent (the same arcs and the same sides in both). Basicaly it means they are the same exept its positon (can be mirrored or rotated)
So if ΔDEF is the same as ΔABC and the same as ΔMNO that maens ΔMNO must be the same as ΔABC
{ΔABC≅ΔDEF and ΔDEF≅ΔMNO} ⇒ ΔABC≅ΔMNO
And if ΔMNO is the same as ΔABC and the same as ΔPQR that maens ΔPQR must be the same as ΔABC
{ΔABC≅ΔMNO and ΔMNO≅ΔPQR} ⇒ ΔABC≅ΔPQR
1)Find the third side of a triangle when two sides of the triangle is 4 and the included angle measuring 89 degrees
2)you were asked by your teacher to add up the numbers 1 to 100. Please show all work
3)determine if the foci for the following ellipse are correct and explain your reasoning 7x2 + 8y2 = 30; foci: (sqrt11, 0), (-sqrt11, 0)
Answer:
1) The length of the third side is 5.607 units
2) The sum of the numbers from 1 to 100 is 5050
3) For the x-axis, foci: ((√15/28), 0) and (-(√15/28), 0)
For the y-axis, foci: (0, (√15/28)) and (0, -(√15/28))
Step-by-step explanation:
1) When two sides of the triangle are equal to 4 then the triangle is an isosceles triangle
Given that the included angle (the angle between the two sides) is 89°, we have;
The other two base angles are equal to {180 - 89)/2 = 91/2 = 45.5°
Therefore, we have from cosine rule;
a² = b² + c² - 2·b·c·cos(A)
We note that the angle opposite the third side is the included angle 89°, therefore, when we put a as the third side in the above equation, we have;
a² = 4² + 4² - 2×4×4×cos(89°)
a² = 31.44
a = 5.607
The length of the third side is 5.607 units
2) The numbers 1 to 100 form an arithmetic series with the first term, a = 1 and the common difference, d = 1 with the number of terms n = 100
The sum of an arithmetic progression, Sₙ, is given as follows;
[tex]S_n = \dfrac{n}{2}\cdot (2 \cdot a + (n - 1) d)[/tex]
Therefore, by plugging in the values, we have;
Sₙ = 100/2*(2*1 + (100 - 1)*1) = 100/2*(101) = 5050
The sum of the numbers from 1 to 100 is 5050
3) The foci of an ellipse 7·x² + 8·y² = 30 is found as follows;
Dividing both sides of the equation by 30 gives;
7/30·x² + 8/30·y² = 30/30
7/30·x² + 8/30·y² = 30/30
7/30·x² + 4/15·y² = 1
Which is of the form;
x²/a² + y²/b² = 1
For the x-axis we have
c² = a² - b²
c² = 30/7 - 15/4 = 15/28
h = 0, k = 0
Foci: ((√15/28), 0) and (-(√15/28), 0)
For the y-axis, we have;
x²/b² + y²/a² = 1
The foci are then (0, (√15/28)) and (0, -(√15/28)).
What’s an constant in numbers
Answer:
Always the same variable.
Step-by-step explanation:
When the question says "x is always constant", it means that the x variable does not change, and it is always the same number.
Answer:
Step-by-step explanation:
In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.
Hello does anybody know what the answer to this question is : 32² x 4 Will give brainliest :)
Answer:
4096
Step-by-step explanation:
used a calculator but u always do indicies first due to bidmas
Answer:
4096
Step-by-step explanation:
The little two on top of the 32 means squared or that we need to multiply 32 by itself.
So 32*32 equals 1024
Then we multiply it by 4 to give us 4096.
.................................
Answer:
c
Step-by-step explanation:
Using the sine ratio in the right triangle
sin q = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{15}[/tex] , thus
∠ q = [tex]sin^{-1}[/tex] ([tex]\frac{13}{15}[/tex] ) = 60° → c
It requires 350 joules to raise a certain amount of a substance from 10.0°C to 30.0°C. The specific heat of the substance is 1.2 J/g°C. What is the mass of the substance? 12 g 15 g 18 g 30 g
Answer:
15 g.
Step-by-step explanation:
The following data were obtained from the question:
Heat required (Q) = 350 J
Initial temperature (T1) = 10.0 °C
Final temperature (T2) = 30.0 °C
Specific heat capacity (C) = 1.2 J/g°C
Mass (M) =..?
Next, we shall determine the change in temperature.
This is illustrated below:
Initial temperature (T1) = 10.0 °C
Final temperature (T2) = 30.0 °C
Change in temperature (ΔT) =..?
Change in temperature (ΔT) = T2 – T1
Change in temperature (ΔT) = 30 – 10
Change in temperature (ΔT) = 20 °C
Finally, we shall determine the mass of the substance as follow:
Heat required (Q) = 350 J
Specific heat capacity (C) = 1.2 J/g°C
Change in temperature (ΔT) = 20 °C
Mass (M) =.?
Q = MCΔT
350 = M x 1.2 x 20
Divide both side by 1.2 x 20
M = 350 / (1.2 x 20)
M = 14.5 ≈ 15 g
Therefore, the mass of the substance is
15 g.
Answer:
15 g
Step-by-step explanation:
Please answer this question now in two minutes
Answer: z = 81
Step-by-step explanation:
TW is the midsegment of ΔSUV ⇒ UV = 2TW
Given: UV = z - 51, TW = z - 61
z - 51 = 2(z - 61)
z - 51 = 2z - 132
-51 = z - 132
81 = z
** BRAINLIEST IF ANSWERED**
The area of the regular hexagon is 50 in sq. What is the measure of the apothem? *
10 in
2 in
25 in
5 in
Answer:
Area of apothem is 8.33 inches
Step-by-step explanation:
Mathematically,
Area of hexagon = 1/2 * apothem * number of sides * length of side
Area = 50 in square
apothem = ?
number of sides = 6
Length of side = 2 inches
Substituting the values, we have;
50 = 1/2 * A * 6 * 2
50 = 6A
A = 50/6
A = 8.33 inches
SOMEBODLY PLZ HELP ASAP! Find x
Answer:
x=4
Step-by-step explanation:
We can use the leg rule
hyp leg
------- = -----------------
leg part
2+6 x
------- = -----------------
x 2
Using cross products
8*2 = x^2
16 =x^2
Take the square root of each side
4 =x
Yo tenía $ 2.00. Mi mamá me dio $ 10.00. Mi papá me dio $ 30.00. Mi tía y mi tío me dieron $ 100.00. Yo tenía otros $ 5.00. Cuánto tenía? La respuesta correcta será eliminada. Gané contra: Vero verito
Answer:
$147
Step-by-step explanation:
$2.00+$10.00+$30.00+$100.00+$5.00
=$147
El dinero total que tenía será de $ 147.00
Dado lo siguiente
La cantidad tenía inicialmente = $ 2.00
La cantidad dada por mamá = $ 10.00
La cantidad recibida de papá = $ 30.00
La cantidad recibida del tío y la tía = $ 100.00
Si tuviera otros $ 5,00
La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:
Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00
Dinero total que tenía = $ 147.00
Por lo tanto, el dinero total que tenía será de $ 147.00.
Obtenga más información aquí: https://brainly.com/question/22309443
A school has 300 eighth-grade students and 200 ninth-grade students. The secretary randomly selects 12 eighth-grade students and 8 ninth-grade students to obtain a sample of size 20. What kind of sampling is this?
Simple random sampling
Stratified random sampling
Systematic sampling
Convenience sampling
Answer:
stratified random sampling
Step-by-step explanation:
How are ΔABC and ΔADE related?
Answer:
They are congruent
Step-by-step explanation:
BRAINLIEST! HELP ASAP MATH PLSSS
Answer: The answer would be the second one.
Step-by-step explanation:
It is hard to explain but, I made and equation that would go with the problem which would be 2 points for every goal plus the free goals for every goal. (2g+f) and in then end it should all equal 15 so the equation so far would be 2g+f =15. This then leave you with three answers left. then I had plugged in a random number to solve it. g and f exacly should be the same number because for every goal you get a free point so if you get one goal then one extra point, if three goals then three extra points. so if you plug in 5 then 2 times 5 plus 5 is 15. The similarities between g and f is if you subtract them it is always going to be zero. Which makes the second answer correct for this problem.
Choose the correct simplification of the expression 4 over y to the power of negative 3. 4y3 4 over y to the 3rd power y to the 3rd power over 4 This expression is already simplified.
Answer:
[tex] 4y^3 [/tex]
Step-by-step explanation:
[tex] \dfrac{4}{y^{-3}} = [/tex]
[tex] = 4 \times y^3 [/tex]
[tex] = 4y^3 [/tex]
Answer:
4y^3
Step-by-step explanation:
Let ƒ(x) = x^2 + 2x and g(x) = 2x. Evaluate the composition (ƒ ∘ g)(2).
Answer:
The answer is option D.
Step-by-step explanation:
f(x) = x² + 2x
g(x) = 2x
To find (ƒ ∘ g)(2) first find (ƒ ∘ g)
To find (ƒ ∘ g) wherever you see x in f(x) replace it with g(x)
That's
(ƒ ∘ g) = (2x)² + 2(2x)
= 4x² + 4x
Substitute 2 into the expression
That's
(ƒ ∘ g)(2) = 4(2)² + 4(2)
= 4(4) + 8
= 16 + 8
= 24
Hope this helps you.
4. A build-your-pasta restaurant charges a flat fee of $2.50 for pasta and $0.75 per ingredient. How much
does the pasta cost for 4 ingredients?
y =
I
The pasta plate will cost $
Answer:
Step-by-step explanation:
The pasta plate will cost $ 5.5
y=4x+2.5 ( x is the number of ingredients)
$ 2.5+(4*0.75)= 5.5 dollars
what is the perimeter of P:(2,2) Q:(6,2) R:(6,5) S:(2,5)
Answer: 14
Step-by-step explanation:
P(6)- Q(2) = 4
Q(5) - R(2) = 3
R(6) - S(2) = 4
S(5) - P(2) = 3
4 + 3 + 4 + 3 = 14
Brainliest is appericiated!
Answer:
Perimeter = 14
Step-by-step explanation:
to find the perimeter first find the distance between the two points :
d=√((x2-x1)²+(y2-y1)²)
PQ:(2,2)(6,2)
d=√(6-2)^2+(2-2)^2
= √16=4
PQ=4
RS: (6,5),(2,5)
d=√(6-2)^2+(5-5)^2
d=4
RS=4
QR:(6,2),(6,5)
QR=3
SP(2,5),(2,2)
SP=3
perimeter=2length+2width
P=2l+2w
p=2(4)+2(3)
p=8+6=14
Find the angles of the triangle if they
are
proportional to the following:
1, 2, 3
Answer:
The angles of this would be x=30
Step-by-step explanation:
If they are proportional to 1:2:3, then we can do 2 things.
They are just cong. ratios. This means that we can have a variable x to the 1,2 and 3.
Second, the angles of an triangle equal 180.
Adding 1 + 2 =
1x + 2x + 3x = 180
6x = 180
x = 30
Now the largest angle would be 3x. Thus 3*30 = 90. You have a right triangle.
Please help ASAP. Plz answer top question thanks so much. Your help is much appreciated.
Answer:
It 7 hours and 5 minutes to complete the race because it would be 8 times 50 which equals 400 and 400 plus 250 which equals 650 and 650 divided by 60 is 7.5 which is 7 hours and 5 minutes I believe so 7.5 is the answer
Hope it helps :D