Answer:
105 minutes
Step-by-step explanation:
[tex]1 \frac{3}{4} = 1 hour + \frac{3}{4} hour[/tex]
1 hour = 60 minutes
[tex]\frac{3}{4} \times 60 = 3 \times 15 = 45 minutes[/tex]
[tex]Therefore \ , \ 1 \frac{3}{4} = 60 + 45 = 105\ minutes[/tex]
The values of [tex]1\dfrac{3}{4}[/tex] hours in minutes is 105 minutes.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculations
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
For example 4/2 = 2
Given data as :
It takes [tex]1\dfrac{3}{4}[/tex] hours to cook a large chicken in the oven.
⇒ [tex]1\dfrac{3}{4}[/tex] hours = 1 hours + 3/4 hours
∵ 1 hour = 60 minutes
∴ 3/4 hours = (3/4)×60 = 45 minutes
Substitute the values in above equation,
⇒ [tex]1\dfrac{3}{4}[/tex] hours = 60 minutes + 45 minutes
⇒ [tex]1\dfrac{3}{4}[/tex] hours = 105 minutes
Hence, the values of [tex]1\dfrac{3}{4}[/tex] hours in minutes is 105 minutes.
Learn more about Arithmetic operations here:
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Which ordered pairis a solution to the system of inequalities graphed here
Answer:
B. (1,4)
Step-by-step explanation:
If you go over to the right by 1 and up by 4 the point will land inside the blue, hence it is the answer since the rest do not land inside the blue.
the graph of y=3x+=4 is
Answer:
Step-by-step explanation:
The answer is B.
It's a line that shows every point that satisfies the equation
y = 3x + 4 which is what I think you meant (but I'm not sure). If I am correct then there are a million possible points that could be the answer to this question.
If I am not correct, leave a comment that tells me so, and I'll revise my answer.
Never mind the question has the right equation. And my answer remains as given.
Solve for x in this equation.
7^3x-17 = 49^x
Answer:
X = 17
Step-by-step explanation:
If you created equivalent expressions with equal bases that should be the answer.
cuanto me da como resultado
Step-by-step explanation:
1) [tex](-4)^2{\cdot}(-4)[/tex]
We know that, [tex]a^x{\cdot}a^y=a^{x+y}[/tex]
[tex](-4)^2{\cdot}(-4)=(-4)^{2+1}\\\\=(-4)^3\\\\=64[/tex]
2) [tex](-2)^5{\cdot} (-2)^3[/tex]
Again using above property,
[tex](-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256[/tex]
3) [tex]5^{-3}[/tex]
We know that,
[tex]a^{-x}=\dfrac{1}{a^x}[/tex]
So,
[tex]5^{-3}=\dfrac{1}{5^3}\\\\=\dfrac{1}{125}[/tex]
4) [tex]2.5^2=2.5\times 2.5\\\\=6.25[/tex]
Hence, this is the required solution.
i need helppp helpp me pleaseeeee!!
Answer:
y = 6
Step-by-step explanation:
Answer:
i helped
Step-by-step explanation:
Find the length of AB pls and thank you
Answer:
x=4
AB=19
Step-by-step explanation:
in such a parallelogram the length of AD must be equal to the length of BC.
=>
18x = 17x + 4
x = 4
AB = 4x + 3 = 4×4 + 3 = 19
At sunrise, the outdoor temperature was 2 degrees
below zero. At dusk, the outdoor temperature has
dropped to 15 degrees below zero. What is the distance
between the two temperatures?
Answer: 13 degrees
Step-by-step explanation:
1. - 2<0
2. (- 2)-(-15)=(-2)+15=13
Which is equal to –214°? Negative StartFraction 107 pi Over 180 EndFraction radians Negative StartFraction 107 pi Over 90 EndFraction radians Negative StartFraction 107 pi Over 50 EndFraction radians Negative StartFraction 107 pi Over 45 EndFractionradians
Answer: 1. equal to - having the requisite qualities for; "equal to the task"; "the work isn't up to the standard I require" adequate to, up to, capable.
Step-by-step explanation:Glad Too Help :))
Answer:
B
Step-by-step explanation:
The value of two numbers has a sum of 20. Those same two numbers have a difference of -6. Find the value of those two numbers.
Answer: [tex]-6,13[/tex]
Step-by-step explanation:
Given
The sum of the two numbers is 20
and the difference of the two is -6
Suppose, the numbers are x and y
[tex]\therefore x+y=20\quad \ldots(i)\\\Rightarrow x-y=-6\quad \ldots(ii)\\\text{Solving} (i)\ \text{and}\ (ii)\ \text{we get}[/tex]
[tex]\Rightarrow 2x=14\\\Rightarrow x=7[/tex]
[tex]\therefore y=13[/tex]
Therefore, the numbers are [tex]-6,\ \text{and}\ 13[/tex]
The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?
y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)
Given:
The image of a lens crosses the x-axis at –2 and 3.
The point (–1, 2) is also on the parabola.
To find:
The equation that can be used to model the image of the lens.
Solution:
If the graph of polynomial intersect the x-axis at c, then (x-c) is a factor of the polynomial.
It is given that the image of a lens crosses the x-axis at –2 and 3. It means (x+2) and (x-3) are factors of the function.
So, the equation of the parabola is:
[tex]y=k(x+2)(x-3)[/tex] ...(i)
Where, k is a constant.
It is given that the point (–1, 2) is also on the parabola. It means the equation of the parabola must be satisfy by the point (-1,2).
Putting [tex]x=-1, y=2[/tex] in (i), we get
[tex]2=k(-1+2)(-1-3)[/tex]
[tex]2=k(1)(-4)[/tex]
[tex]2=-4k[/tex]
Divide both sides by -4.
[tex]\dfrac{2}{-4}=k[/tex]
[tex]-\dfrac{1}{2}=k[/tex]
Putting [tex]k=-\dfrac{1}{2}[/tex] in (i), we get
[tex]y=-\dfrac{1}{2}(x+2)(x-3)[/tex]
Therefore, the required equation of the parabola is [tex]y=-\dfrac{1}{2}(x+2)(x-3)[/tex].
Note: All options are incorrect.
The heights of male students are normally distributed with a mean of 158 cm and a
standard deviation of 5 cm.
Find the percentage of male students who are between 145 cm and 170 cm.
Round your
answers to the nearest hundredths.
Answer: The percentage of male students who are between 145 cm and 170 cm = 98.71%
Step-by-step explanation:
Let x denotes the height of male students.
As per given,
[tex]\mu=158,\sigma=5[/tex]
The probability of male students who are between 145 cm and 170 cm
= [tex]P(145<X<170)[/tex]
[tex]=P(\dfrac{145-158}{5}<\dfrac{X-\mu}{\sigma}<\dfrac{170-158}{5})\\\\=P(-2.6<Z<2.4)\\\\=P(Z<2.4)-P(Z<-2.6)\\\\=P(Z<2.4)-(1-P(2.6))\\\\=0.9918-(1-0.9953)\\\\= $$0.9871[/tex]
Hence, the percentage of male students who are between 145 cm and 170 cm = 98.71%
Simplify the expression:
5(4x - 2)
i need help
Step-by-step explanation:
5(4× - 2)
5x4=20
5×2=10
Answer = 20x - 10
Answer:
20x-10
Step-by-step explanation:
Simply multiply.
5 × 4X = 20X
5× -2 = -10
Combine both
20X - 10
Write an equation for the graph below using its zeros.
Answer:
Step-by-step explanation:
It's a cubic.
It has 1 root that cuts the x axis at x = -4
It has 2 roots that are the same. The reason you know this is because the curve touches the x axis, but does not go through the x axis, at 3.
y = (x + 4) (x - 3)(x - 3)
Notice the sign change. x has to have sign change when going from a root to a binomial
The root is - 4. The binomial is (x + 4)
The same argument works for x = 3
i’m so confused on how to do it
Answer:
785.4
Step-by-step explanation:
The formula to find the surface area of a cylinder is
2* pi* radius* height + 2* pi* 2radius.
2( 3.14) (5) (20)= 628
2 (3.14* 5*5)= 157
628+ 157= 785.
I need help with this problem pls help!
Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each
student, one at a time, for 7 of an hour, how many students does she tutor?
3
Answer:
Lauren tutors 42 students in total
Step-by-step explanation:
She tutors for 6 hours and she teaches 7 students an hour , so we just have to multiply 7 by 6 which is 42
Hope it helps:)
A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (3,-4). What is the vertex of the function defined as g (x) =f(x+5)?
Answer:
(-2, -4)
Step-by-step explanation:
y = f(x) = ax²+bx +c
given the vertex is (3, -4)
=> the symetry axis: x = 3
x = -b/2a = 3
so, -b = 6a => b = -6a
the function f(x) = x²-6x + 5
g(x) = f(x+5)
g(x) = (x+5)²-6(x+5)+5
g(x) = x²+10x+25-6x-30+5
g(x) = x²+4x
=> a=1, b=4
find the vertex of the function g :
the symetry axis: x= -4/2(1) => x = -2
y = g(-2) = (-2)²+4(-2)= 4-8 = -4
so, the vertex is (-2, -4)
Answer:
(-2, -4)Step-by-step explanation:
Vertex form of a quadratic function:
f(x) = (x - h)² + kWe have (h, k) = (3, -4)
The function f(x) is:
f(x) = (x - 3)² - 4The function g(x) is:
g(x) = f(x + 5) =
(x + 5 - 3)² - 4 =
(x + 2)² - 4
Vertex of g(x) is:
(-2, -4)The graph represents the piecewise function:
100 POINTS !!!
if 5x-26=x+50, then what is the value of x
Answer:
x = 19
Step-by-step explanation:
5x - 26 = x + 50
Subtract x on both sides of the equation.
4x - 26 = 50
Add 26 on both sides.
4x = 76
Now, divide by 4 on both sides.
x = 19
Answer:
x = 19
Step-by-step explanation:
5x-26=x+50
5x = 76 +x
4x = 76
x = 19
Write 240000 in standard form
Answer:
240,000
Step-by-step explanation:
standard form means the way you would write it
You have 88 grams of a radioactive kind of actinium. How much will be left after 44 years if its half-life is 22 years?
Answer:
22 grams
Step-by-step explanation:
loses 50% of it's mass per 22 years
so after 22 years the mass would be 44 grams
22 years later would leave 50% of 44 grams = 22 grams
Write an equation that represents the line
Answer:
y = -2x - 3
Step-by-step explanation:
A standard equation written in slope-intercept form looks like this:
y = mx + b
m is the slope and b is the y-intercept.
First let's identify the y-intercept.
This is the point where the line crosses the y-axis. That point is (0, -3); therefore, our y-intercept is -3.
y = mx - 3
Now let's find the slope.
This is the rate of change of the line. It is represented by rise over run. "Over" means the number will be presented as a fraction.
We can see that from Point 2 (on the right), we rise 2 units to the level of Point 1 (on the left). This is expressed as 2.
To get directly to Point 1, we run backwards 1 unit. This is expressed as -1.
rise: 2
run: -1
rise/run = 2/-1 = -2
-2 is our slope.
y = -2x - 3
This is your equation.
Hope this helps!
PLEASE HELP: Evaluate tan^2θ for θ = 60°
1/3
3/4
1
3
Answer:
3
Step-by-step explanation:
tan 60 = root(3)
tan² 60 = {root (3)}²
tan² 60 = 3
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
Solve 270=3e^2.4K to the nearest hundredth
If you can solve this for me could you please give steps so I can understand, please and thank you so much!
Given:
The equation is:
[tex]270=3e^{2.4K}[/tex]
To find:
The solution for the given equation to the nearest hundredth.
Solution:
We have,
[tex]270=3e^{2.4K}[/tex]
Divide both sides by 3.
[tex]\dfrac{270}{3}=e^{2.4K}[/tex]
[tex]90=e^{2.4K}[/tex]
Taking ln on both sides, we get
[tex]\ln (90)=\ln e^{2.4K}[/tex]
[tex]\ln (90)=2.4K[/tex] [tex][\because \ln e^x=x][/tex]
Divide both sides by 2.4.
[tex]\dfrac{\ln (90)}{2.4}=K[/tex]
[tex]\dfrac{4.4998}{2.4}=K[/tex] [tex][\because \ln (90)\approx 4.4998][/tex]
[tex]1.874916667=K[/tex]
Round the value to the nearest hundredth (two decimal place)
[tex]K\approx 1.87[/tex]
Therefore, the value of K is 1.87.
There are 6 blue marbles, 4 green marbles, and 2 red marbles. You choose 2 marbles. What is the chance that they will be blue?
Answer:
0.0152 probability
Step-by-step explanation:
first there are 12 marbles: odds are 2/12 = 1/6
Then, there are 11 marbles: odds are 1/11
So the odds of both of them being blue are: 1/6 * 1/11 = 0.0152
Please give brainliest thanks!
A bag contain four black B) and
three R balls. The ball drawn from
the bag, without replacement. Find the
Proberbility of drawing the balls in
the Order B,R B,R B,R and B
Answer:
6912 / 823,543 or approximately 0.8%
Step-by-step explanation:
4 black
3 red
7 total
P(B) = 4/7
P(R) = 3/7
4/7 x 3/7 x 4/7 x 3/7 x 4/7 x 3/7 x 4/7 = 6912 / 823,543
Pls I need help with this
Answer:
third side = 4
Step-by-step explanation:
third side is hypoenuse as it is opposite to 90 degree.
using pythagoras theorem
(perpendicular)^2 + (base)^2 = (hypotenuse)^2
2^2 + (2[tex]\sqrt{3[/tex] )^2 = hypotenuse^2
4 + 4*3 = hypotenuse^2
16 = hypotenuse^2
[tex]\sqrt{16}[/tex] = hypotenuse
4 = hypotensue
Write an equation to represent the relationship between x and y:
Answer:
y = 1/3 x - 1
Step-by-step explanation:
use slope formula then substitute an x and y and the m to find b
y=mx+b
Find the difference.
100 – (-87)
Answer: 187
Step-by-step explanation:
negative cancels negative so that will turn to positive. (-) x (-) = +
100- (-87)
=
100 + 87
= 187
Answer:
187
Step-by-step explanation:
100 - (-87)
100 + 87
187
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