The question isn't correctly given, a possible format is in the comment below, however, the explanation will cover then concept which can be applied to different but similar
Answer:
10048576 ways
Step-by-step explanation:
We are given a question, from which we can choose aby of 4 options, this gives ua 4 possible choices for 1.
This will also apply if we have more than 1 question with the same number of options.
This can be called the product rule, as each possibility is the same of each question given :
Therefore, given 10 questions:
. We have
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 4^10 = 10048576 ways
Find the volume of the pyramid. The base is an isosceles triangle with a base of 7/3 meters and height of 15/2 meters. The height of pyramid is 24/5 meters
Volume of pyramid =
V=224/25 m3
V=1344/25 m3
V=14 m3
Answer:
14 m³
Step-by-step explanation:
the volume of pyramid = ⅓× base area × height
= ⅓ × (½×7/3 × 15/2) × 24/5
= (7×15×24)/(3×2×3×2×5)
= 2520/180
= 14 m³
(04.02 MC)
4
What is the y-intercept of the line perpendicular to the line y = x + 1 that includes the point (4, 1)?
Answer:
The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.
Step-by-step explanation:
The line [tex]y = x + 1[/tex] has a slope 1. By Analytic Geometry, the slope of the line perpendicular to the original line is determine by the following formula:
[tex]m_{\perp} = -\frac{1}{m}[/tex] (1)
Where:
[tex]m[/tex] - Slope of the original line.
[tex]m_{\perp}[/tex] - Slope of the line perpendicular to the original line.
If we know that [tex]m = 1[/tex], then the new slope is:
[tex]m_{\perp} = -\frac{1}{1}[/tex]
[tex]m_{\perp} = -1[/tex]
A line is defined by the following expression:
[tex]y = m\cdot x + b[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]m[/tex] - Slope.
[tex]b[/tex] - Intercept.
If we know that [tex](x,y) = (4,1)[/tex] and [tex]m = -1[/tex], then the intercept of the line perpendicular to the original line:
[tex]b = y - m\cdot x[/tex]
[tex]b = 1+4[/tex]
[tex]b = 5[/tex]
The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.
Complete the point-slope equation of the line through (-8,-8)(−8,−8)left parenthesis, minus, 8, comma, minus, 8, right parenthesis and (-7,9)(−7,9)left parenthesis, minus, 7, comma, 9, right parenthesis.
Use exact numbers.
y-9=y−9=y, minus, 9, equals
Answer:
[tex]y-9=17(x+7)[/tex]
Step-by-step explanation:
Hi there!
What we know:
The line goes through the points (-8,-8) and (-7,9)We need to write the equation of the line in point-slope formWhat we need to know:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope of the line and [tex](x_1,y_1)[/tex] is a point that the line passes throughWe're given "[tex]y-9=[/tex]", which is the "[tex]y-y_1[/tex]" part of the point-slope form equation. This means that [tex](x_1,y_1)[/tex] is [tex](-7,9)[/tex] and we only need to solve for m.Our equation so far (plugging in the point (-7,9):
[tex]y-9=m(x-(-7))[/tex]
[tex]y-9=m(x+7)[/tex]
Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-8,-8) and (-7,9)
[tex]=\frac{-8-9}{-8-(-7)}\\=\frac{-8-9}{-8+7}\\=\frac{-17}{-1}\\= 17[/tex]
Therefore, the slope of the line is 17. Plug this into [tex]y-9=m(x+7)[/tex]:
[tex]y-9=17(x+7)[/tex]
I hope this helps!
A• 3.7
B• 3.8
C• 5.3
D• 5.4
Answer:
D 5.4
Step-by-step explanation:
The pythagoras theorem states that a² + b² = c²
2² + 5² = ?²
4 + 25 = ?²
29=?²
? =
[tex] \sqrt{29} [/tex]
? = 5.4 rounded 2 sig fig one decimal place
Alex accepted a job as a veterinarian that pays a salary of $78,500 in the first year. After the first year, his salary increased by 1.5% per year.
Alex works for the vet clinic for 10 years. What is the total of his earnings over the 10 years?
Round your answer to the nearest hundredth
$ = _______
Answer:
795.597,5
Step-by-step explanation:
let's consider the fact that Alex worked for the vet for 10 years. First year is off with $78,500 since that was his first payment, now there are nine years left. With some math operations we find that 1,5% in this problem is equal to 1.177,5$. So if we take that number and put it together with Alexs' first payment we get from now and on his yearly pay, which is $79.677,5. At last we take that number multiply it by 9 and add all the numbers together (78,500+79.677,5(×9)= 795.597,5)
The total of his earnings over the 10 years is $236677.5.
What is interest rate?The percentage increase formula is used to compare the growth in a quantity from the initial value to its final value, over a period of time.
Given
P = $78,500
Interest rate = 1.5 %
Time t = 10 years
Total earning = P[tex](1+\frac{r}{100} )^{t}[/tex]
A = 78500[tex](1+\frac{1.5}{100} )^{t}[/tex]
A = 78500[tex](\frac{1015}{100} )^{10}[/tex]
A = 78500[tex](\frac{230}{200} )^{10}[/tex]
A = $236677.5
Hence, the total of his earnings over the 10 years is $236677.5.
Find out more information about interest rate here
https://brainly.com/question/7279636
#SPJ2
Find the circumference
Answer:
75.36 mi
Step-by-step explanation:
Given :-
Radius = 12 mi .We know :-
→ Circumference = 2 π r
→ C = 2 * 3.14 * 12 mi
→ C = 75.36 mi
Answer:
Step-by-step explanation:
circumference of a circle=2πr
=2*3.14*12
=24*3.14
=75.36 mi
simplify 26a+4a-10a
Answer:
20a
Step-by-step explanation:
26a+4a-10a=30a-10a=20a
Answer:
20a
Step-by-step explanation:
26a+4a-10a
since they are like terms u can add and subtract them
=30a-10a
=20a
Claire's music playlist contains songs she bought and songs her mother bought. The ratio of her songs to her mother's songs is 3:2. Which table shows this ratio and two equivalent ratios?
Answer:
B.
Step-by-step explanation:
The ratio of Claire's songs to her mother's songs = 3 : 2
A.
3 : 2 = 3/2
9 : 6 = 9/6 = 3/2
12 : 10 = 12/10 = 6/5
B.
3 : 2 = 3/2
6 : 4 = 6/4 = 3/2
15 : 10 = 15/10 = 3/2
C.
3 : 2 = 3/2
4 : 3 = 4/3
5 : 4 = 5/4
D.
3 : 2 = 3/2
4 : 6 = 4/6 = 2/3
20 : 30 = 20/30 = 2/3
The table which shows the correct ratio and two equivalent ratios is B
asma is drawing a picture of a tree.she drawss a 15m tree as 3cm in her drawing book. if a fruit acctualy hangs from branch 3 m from the ground how high must asma draw it to keep the proportion correct?
Answer:
0.6 cm
Step-by-step explanation:
she divided the the height of the tree 500, so the same factor has to be applied to everything else
3m * 1/500 = 0.6cm
what is the volume of the following rectangular prism 9/5 units 2/3 units
Answer:
1.2
Step-by-step explanation:
9/5*2/3=1.2
Amelia is taking a road trip. She drove 250 miles the first day. If 250 is 40% of her total distance, how many miles is her roadtrip in all?
Answer: 625 miles
Step-by-step explanation:
100-40=60
so she has 60% for her distance so lets munis 40 from it and add 250 to 250
250+250=500
60-40=20
20 is half of 40 so whats half of 250? its 125
so she drove 625 miles for her road trip 2 and 1/2 a day
help me for brainiest pleasee
Answer: B
Step-by-step explanation: 12.8% of 635,000 = 81280
L Por el alquiler de un coche cobran 100
pesos diarios mas 0.30 centavo por
kilometro. Encuentra la ecuacion de la recta
que relacoma el costo diarlo con el número
de kilometros
y representala.Si en un dia
se ha hecho un total de 300 km, que
importe debemos abonar?
Answer:
Sabemos que el costo del alquiler es 100 pesos diarios, más 0.30 pesos por kilómetro.
Entonces, solo por alquilar el coche por un día, hay que pagar 100 pesos.
Si además lo conduces x kilómetros, tendrás que pagar x veces 0.30 pesos.
Entonces el costo diario, en pesos, será:
C(x) = 100 + 0.30*x
Para graficar esta ecuación simplemente se deben encontrar dos pares:
(x, C(x)) en un eje de coordenadas, y luego conectarlos con una línea.
Por ejemplo, si tomamos:
x = 0
C(0) = 100 + 0.30*0 = 100
entonces tenemos el par (0, 100)
si x = 10
c(10) = 100 + 0.30*10 = 100 + 3 = 103
entonces tenemos el par (10, 103)
Ahora podemos graficar esos dos puntos y conectarlos con una línea, como en el ejemplo de abajo.
b)
También queremos conocer el costo diario si se han hecho un total de 300km.
Entonces simplemente reemplazamos x por 300 en la ecuación del costo:
C(300) = 100 + 0.30*300 = 100 + 90 = 190
El costo será de 190 pesos.
El dinero total a pagar por 300 Km es de 190 pesos.
La ecuación de una recta viene dada por y = mx + c
m = pendiente
c = intersección
Así, dado que cobran 100 pesos por día más 0,30 centavos por kilómetro, podemos escribir;
y = 100 + 0,30 x
Dado también que hay un total de 300 km, ahora tenemos;
y = 100 + 0.3(300) = 190 pesos
Más información sobre la ecuación:https://brainly.com/question/22929949
Can someone tell me which one it is?
Answer:
-16
Step-by-step explanation:
-16... using d = b²-4ac
Answer:
the discriminant is –16
hope this helps!
which expression is equivalent to 1/2r + 8p - 3/4r -2p
A. 1/4r -6p
B. 1/4r +10p
C. 1/4r + 10p
D. 5/4r + 6p
Answer:
D.5/4r+6p
Step-by-step explanation:
hula kong hahha
What is 2x^2(x-5) divided by 10x when x + 10?
Answer:
1000
Step-by-step explanation:
2x²(x - 5) ÷ 10x
x = 10
2(10)²(10 - 5) ÷ 10(10)
20²(5) ÷ 100
100² ÷ 100
100000 ÷ 100
1000
14 is what % of 89 if you choose a random answer you will be reported
Answer:
15.73 %
Step-by-step explanation:
Given :-
14 is what % of 89 .For finding% :-
→ 14/89 * 100
→ 15.73 %
Answer:
15.73% to the nearest hundredth.
Step-by-step explanation:
14/89 = 0.157303
Now multiply by 100
This gives 15.7303 %
Shelly purchased 6 25'-tape
measures and 2 chalk line reels for
$78. Sean purchased one 25'-tape
measure and 3 chalk line reels from
the same store for $29. What was
the price of each 25'-tape measure
and each chalk line reel?
Answer:
Price of one 25'-tape measure = $11
Price of one chalk line reels = $6
Step-by-step explanation:
Let t = price of one 25'-tape measure, and
let c = price of one chalk line reel
"Shelly purchased 6 25'-tape measures and 2 chalk line reels for $78."
6t + 2c = 78
"Sean purchased one 25'-tape measure and 3 chalk line reels ... for $29."
t + 3c = 29
We have a system of two equations in two variables. We will solve it with teh substitution method.
Solve the second equation for t.
t = 29 - 3c
Substitute 29 - 3c for t in the first equation.
6(29 - 3c) + 2c = 78
174 - 18c + 2c = 78
-16c = -96
c = 6
Substitute 6 for c in the second original equation.
t + 3(6) = 29
t + 18 = 29
t = 11
Answer:
Price of one 25'-tape measure = $11
Price of one chalk line reel = $6
How many liters are equivalent to 25 ml
Answer:
0.025 liters
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
0.025 liters
Step-by-step explanation:
A is the point (-2, 0) and B is the point (0, 4).Find the equation of the straight line joining A and B.
Answer:
y = 2*x + 4
Step-by-step explanation:
We know that a linear function can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
So, here we know that our line must pass through the points (-2,0) and (0, 4)
Then the slope of this line is:
a = (4 - 0)/(0 - (-2))
a = 4/2 = 2
Then our line is something like:
y = 2*x + b
Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.
0 = 2*(-2) + b
0 = -4 + b
4 = b
Then the equation for our line is:
y = 2*x + 4
True or false, with method of elimination, think about what you can multiply one equation by so that a variable will be eliminated when the two equations are added.
Answer:
True i think
Step-by-step explanation:
What’s a converse in mathematics
Answer:
A converse is the result of reversing its two constituent statements.
Example, P-Q. Converse would be Q-P
can someone help please.
Answer:
if im not mistaken is d hope you get it right
Can pls someone help I need help
for the same girl again plz.
Answer:
Option A is correct
Step-by-step explanation:
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
Hope it is helpful...PLEASE HELP!!!!!!!!!!!!!
Answer: I think E
Step-by-step explanation:
HELPP!!!!!x
And thanks!
Answer:
7/10 > 17/25
Step-by-step explanation:
17/25 and 7/10
The common denominator is 50
17/25 *2/2 =34/50
7/10 *5/5 = 35/50
35 > 34 so
35/50 > 34/50
7/10 > 17/25
3/4 = 12/x. Solve for x.
Answer:
x=16
Step-by-step explanation:
3*4=12
4*4=16
Raymond is four times as old as christine plus 5 years.Write an algebraic expression for Raymonds age in terms of christine age
Answer:
4c+5
Step-by-step explanation:
c=Christine's age
Go with me.
can someone help with part A please??
Answer:
Step-by-step explanation:
4 days 9 hours 40 minutes