Answer:
1. 3240
2. 324×10^-1
Step-by-step explanation:
1. 32.4×10^<2
32.4×100
3240
Answer:
1.
[tex]32.4 \times {10}^{2} = 32.4 \times 100 = 3240[/tex]
2. when you multiply any number has decimal point by 10 power specific number [10^N]
if N is negative move with decimal point move to left On the contrary if N is positive you must move to right
Ex :
[tex]22.4 \times {10}^{ - 1} = 2.24 \\ \\ [/tex]
[tex]22.4 \times {10}^{} = 224[/tex]
Can someone help me solve for X
Step-by-step explanation:
You can apply the power of point to this problem. Essentially, it states that:
[tex]5\cdot12=2\cdot(2+x)\\30=2+x\\x=28[/tex]
A basketball free throw can be modeled by a parabolic path, which can be represented by the function b(x) = - 0.25 x^2 + 4x, where x is time, in seconds, and b(x) is the height of the ball off the ground in feet.
What is the VERTEX and what do the coordinates mean in the context of the problem?
please solve algebraically
Answer:
The vertex of this problem is (8,16). This means that the highest height the ball reaches is at t = 8s, and this maximum height is of 16 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
b(x) = - 0.25 x^2 + 4x
Quadratic equation with [tex]a = -0.25, b = 4[/tex].
Vertex:
[tex]x_{v} = -\frac{4}{2(-0.25)} = 8[/tex]
[tex]\Delta = 4^2-4(-0.25)(0) = 16[/tex]
[tex]y_{v} = -\frac{16}{4(-0.25)} = 16[/tex]
The vertex of this problem is (8,16). This means that the highest height the ball reaches is at t = 8s, and this maximum height is of 16 feet.
Write an algebraic expression for the verbal expression:
seven less than a number (use q), squared
Answer:
q²-7
Step-by-step explanation:
Please help me with this
i think its 12
Step-by-step explanation:
What is the noun of press?
the noun press itself is already a noun. though the word can also be expressed as a verb, (for example: he pressed his face against the glass) it can also be a noun (for example: the incident was not reported to the press).
hope this helps. :)
have a great day! stay safe, happy, and healthy!
Kendra spent ⅓ of her allowance on a book and ⅖ on a snack. If she had four dollars remaining after purchasing a book and snack, what was the total amount of her allowance?
Answer: 15$
Step-by-step explanation:
Given
Kendra spent one-third of allowance on a book and two-fifth on snack.
If she had four dollar remaining after purchase
Suppose x is the original amount
[tex]\therefore x-\dfrac{x}{3}-\dfrac{2x}{5}=4\\\\\Rightarrow \dfrac{15x-5x-6x}{15}=4\\\\\Rightarrow 4x=60\\\Rightarrow x=15[/tex]
Thus, 15$ was her total allowance.
in the diagram below, BD is parallel to XY. what is the value of Y?
Answer:
it's easy the value of y will be 70.
Both are corresponding angles and their sum will be 180
[tex]\\ \sf\longmapsto y+70=180[/tex]
[tex]\\ \sf\longmapsto y=180-70[/tex]
[tex]\\ \sf\longmapsto y=110°[/tex]
Help
!!!!!!!!!!!!!!!!!!!
Answer:
[tex] \frac{1}{5} \times \frac{1}{5} \times \frac{1}{5} = \frac{1}{125} [/tex]
What's the area of this
Answer:
133
Step-by-step explanation:
Because the figure is an irregular figure we need to break it up into two regular figures
The figure would be broken into..
A square with a side length of 4
And a rectangle with a length 13 and a width of 9
We now find the areas of the regular figures and add them together to get our answer
For the square.
To find the area of a square simply square the side length
Area = 4^2 = 16
For the rectangle
to find the area of the rectangle simply multiply the Length by the width
Area = 13*9= 117
Finally add the two areas together to get the area of the composite figure
117 + 16 = 133
i'm a period of 2 1/4 hours, 5 1/2 gallons of water leaker from a water tank. how much water did the tank lose per hour?
Answer:
C. 11/2÷9/4
Step-by-step explanation:
This question can be solved using a rule of three.
In 2 + \frac{1}{4} = \frac{2*4 + 1}{4} = \frac{9}{4}2+
4
1
=
4
2∗4+1
=
4
9
hours, the tank loses 5 + \frac{1}[2} = \frac{5*2 + 1}{2} = \frac{11}{2} gallons. How much does it lose in an hour?
1 hour - x gallons
9/4 hours - 11/2 gallons
So
\frac{9x}{4} = \frac{11}{2}
4
9x
=
2
11
x = \frac{\frac{11}{2}}{\frac{9}{4}}x=
4
9
2
11
So the correct answer is C.
Help please thank you!!
The sum of the interior angles in a triangle is 180 degrees. Therefore, if we add all of these angles up, they will be equal to 180.
97 + 46 + x = 180
143 + x = 180
x = 37 degrees
Hope this helps!! :)
Answer:
43°
Step-by-step explanation:
91+46=137
180-137=43
The length of a rectangular vegetable bed is 3 feet more than twice the width. The length of the fence around the bed is 36 feet. Find the length and with.
a) If the width of the rectangle is x, the equation is_.
b) The width of the vegetable bed is __, the length is __
B: The width of the vegetable bed is 5 feet. The length is 13 feet.
On a standardized exam, the scores are normally distributed with a mean of 550 and a standard deviation of 50. Find the z-score of a person who scored 495 on the exam.
Answer:
-1.1
Step-by-step explanation:
The z-score formula is expressed as;
z = x - m/s
x is the sample size = 495
m is the mean score = 550
s is the standard deviation = 50
Substitute inti the formula;
z = 495 - 550/50
z = = -55/50
z = -11/10
z = -1.1
Hence the z score is -1.1
can someone help me identify c(6)=
Answer and Step-by-step explanation:
To solve, simply plug 6 in for m in the equation.
C(6) = 50(6) + 79.50
6 times 50 is 300.
300 + 79.50 = 379.50 = C(6)
The answer is 379.5
(Looking at the question again, I don't think what I said is what it is asking for, soo)
The slope of the function given represents the amount that needs to be paid every month. The y-intercept (79.50) represents the initial cost (starting amount) for paying the membership.
#teamtrees #PAW (Plant And Water)
This is what I have to solve (unit rates)
Answer:
Books:Dollars = For each book it is $13. (1:13)
Minutes:Beats = For each minute there are 63 beats (1:63)
Step-by-step explanation:
Books and Dollars
2:26 can be reduced by 21:13Minutes and Beats
3:195 can be reduced by 31:63What amount would yield an interest of $66 in 2 years at 3% p.a.?
Both Eli Manning and Peyton Manning won 2 super bowls-
True
or
False
Answer:
-true
Step-by-step explanation:
I'm correct if I'm rwong
What is 6 + 4/a + b/3 =
Answer:
8
Step-by-step explanation:
a = 4
b = 3
4 / a
= 4 / 4
= 1
b / 3
= 3 / 3
= 1
6 + 4 / a + b / 3
= 6 + 1 + 1
= 8
Answer:
[tex]6[/tex]
Step-by-step explanation:
Given:-
[tex]6+\frac{4}{a} +\frac{b}{3}[/tex]
[tex]a=4\\b=3[/tex]
Solution:-
[tex]=6+\frac{4}{4} +\frac{3}{3}[/tex]
[tex]=6+2[/tex]
[tex]=8[/tex]
1+0,5= ?
sometimes I ask
The more we learn, the more we know. The more we know, the more we forget. The more we forget, the less we know. So why are we busy studying?
1.5
Step-by-step explanation:
if you add any number with zero come same
Answer:
1.5
To learn more and forget less.
Translate the sentence into an equation. Twice the difference of a number and 6 is 2.
Step-by-step explanation:
2(x-2)=6, x-2=3, x=5.......................
7x + 2y=12
5x+2y=8
(it's a linear equation)
Answer:
If we are solving for x i think its
y= - 5x/2+4
y= -7x/2 +6
I am not sure if its right but hope it helps
hello! i'd like someone to help me convert this problem to an equation, please !! i don't need the result :(
Tomorrow Andrea is on her birthday and her best friends do not know how old Andrea is. When they ask Andrea how old she is, she gets angry and says "In 11 more years my age will be half the square of my age 13 years ago". Andrea's friends are not very good at math. Help them and tell them what Andrea's age is. (You must send development of this exercise)
Answer:
21
Step-by-step explanation:
We can set Andrea's current age as x.
In 11 years, her age will be half the square of her age 13 years ago. We get the equation:
[tex]x+11=\frac{(x-13)^2}{2} \\2(x+11)=(x-13)^2\\2x+22=x^2-26x+169\\x^2-28x+147=0\\(x-21)(x-7)=0\\x=21, x=7[/tex]
Ok, now we know that Andreas age could be either 21 or 7. However, the problem states that "in 11 more years my age will be hald the square of my age 13 years ago." It would not make sense for Andrea to be currently 7 if she was not yet born 13 years ago.
Therefore, Andrea's age is 21.
I hope this helps! Let me know if you have any questions :)
what are the factors of the expression below? 2bx+4by-3ax-6ay
Answer:
Step-by-step explanation:
2bx + 4by -3ax -6ay
= 2b (x +2y) - 3a (x +2y)
= (x +2y) (2b-3a)
(75 points) need help now
Answer:
A is not a function
Step-by-step explanation:
In table A, the x value of 4 goes to two different y values
To be a function each x value can only go to one y value
A is not a function
Answer:
27 is the answer
Step-by-step explanation:
We have this proportion....
36 / 12 = x / 9 where x is the model door height
Cross-multiply
36*9 = 12 * x
324 = 12 *x divide both sides by 12
27 = x and that's the model height in centimeters
Justin and his family are going on a guided tour of the zoo. The number of people that can be in a tour group at the zoo must be fewer than 16 people. Create an inequality on the number line which represents the number of people that could be in Justin's tour group.
Answer:
x < 16
Step-by-step explanation:
The number of people that can be in a tour group at the zoo must be fewer than 16 people.
Let the number of people in the Justin's tour group is x.
According to the question, the inequality is given by
x < 16.
This is the desired inequality.
En el cumpleaños de Manolito se inflaron 144 globos. Los 2/9 de los globos eran rojos; los 5/18, verdes y 1/6 eran amarillos. ¿Cuántos globos eran de otros colores?
Answer:
48 globos
Step-by-step explanation:
De la pregunta anterior, se nos dice que:
En el cumpleaños de Manolito se inflaron 144 globos.
Por eso:
Para globos rojos
2/9 de los globos eran rojos
Número de globos rojos = 2/9 × 144 globos
= 32 globos
Para globos verdes
5/18 eran verdes
Número de globos verdes = 5/18 × 144 globos
= 40 globos
Para globos amarillos
1/6 eran amarillas
Número de globos amarillos = 1/6 × 144 globos
= 24 globos
Tenga en cuenta que:
Número total de globos =
Globos rojos + Globos verdes + Globos amarillos + Otros colores
Otros colores = 144 globos - (globos rojos + globos verdes + globos amarillos)
Otros colores = 144 globos - (32 + 40 + 24) globos
= 144 globos - 96 globos
= 48 globos
Por lo tanto, la cantidad de globos que son de otros colores = 48 globos
PLEASE HELP ME I WILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
realtionship between distance and time is
distance=time/3
a.distance=time/3
129*3=time
387 s =time
Answer:
387
Step-by-step explanation:
129x3=387
A recipe for macaroni and cheese calls for 1 cup of shredded cheese
for every cup of milk. How many cups of milk are needed for each
cup of cheese?
Answer:
1 cup
Step-by-step explanation:
for each cup of cheese you need one cup of milk so for every cup of milk you need one cup of cheese :))
Do the ratios 11/6 and 23/9 form a proportion
NO
11/6 = 1. 8333
23/9= 2. 555
[tex]{hope it helps}}[/tex]
#CarryOnLearning
After completing the square, what are the solutions to the quadratic equation
below?
x^2 + 2x = 25
A. x = 1+-√26
B. x = -1+-√26
C. x = -2+-√26
D. x = 4,-6
Answer: I think the answer is B
Hope this helps :)
The solutions to the quadratic equation [tex]\rm x^2 + 2x = 25[/tex] is [tex]-1\pm \sqrt{26 }[/tex].
What is quadratic equation?Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.
The given equation is;
[tex]\rm x^2 + 2x = 25\\\\x^2+2x-25=0[/tex]
The solutions to the quadratic equation is determined by the following formula;
[tex]\rm x =\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Where the value of a = 1, b = 2, and c = -25.
Substitute all the values in the formula;
[tex]\rm x =\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\\rm x =\dfrac{-2\pm \sqrt{2^2-4\times 1\times (-25)} }{2\times 1}\\\\ x =\dfrac{-2\pm \sqrt{4+100} }{2}\\\\x =\dfrac{-2\pm \sqrt{104} }{2}\\\\x =\dfrac{-2\pm \sqrt{26 \times 2\times 2} }{2}\\\\x =\dfrac{-2\pm 2\sqrt{26 }}{2}\\\\x = 2 \times \dfrac{-1\pm \sqrt{26 }}{2}\\\\x=-1\pm \sqrt{26 }[/tex]
Hence, the solutions to the quadratic equation [tex]\rm x^2 + 2x = 25[/tex] is [tex]-1\pm \sqrt{26 }[/tex].
Learn more about quadratic equation here;
https://brainly.com/question/14336752
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