Answer:38
Step-by-step explanation:multiple
Express the equation y= x² + 10x +30 in the form y= a(x - h)² +k
Answer:
[tex]\large \boxed{\sf \ \ y=(x+5)^2+5 \ \ }[/tex]
Step-by-step explanation:
Hello, please find my work below.
[tex]y=x^2+10x+30\\\\\text{*** We can notice that ***}\\\\\text{*** } x^2+10x = x^2+2\cdot 5 \cdot x=(x+5)^2-5^2=(x+5)^2-25\\\\y=x^2+10x+30=(x+5)^2-25+30=(x+5)^2+5\\\\[/tex]
a = 1
h = -5
k = 5
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Which student evaluated the power correctly?
Anna's Work
99 = 9x9x9x9x9
- 59.049
O Hailey's Work
99 = 9x5
= 45
O Cameron's Work
9% = 9+9+9+9+9
=45
Jerry's Work
95 = 5x5x5x5x5x5x5x5x5
= 1,953.125
Answer:
a
Step-by-step explanation:
you have to multply
Answer:
A
Step-by-step explanation:
let (-3,-7) be a point on the terminal side of theta. find the exact values of sin theta, sec theta, and tan theta
Answer:
The exact values of sinθ = -7/√58.
The exact value of secθ = -√58/3 and
The exact value of tanθ = 7/3
Step-by-step explanation:
Given that a point on the terminal side is of an angle is (x,y) and we are given (-3, -7). So x = -3 and y = -7. The length of its terminal side is given by r = √(x² + y²) = √((-3)² + (-7)²) = √(9 + 49) = √58
We know that sinθ = y/r.
So, sinθ = y/r = -7/√58
We know that secθ = 1/cosθ = 1/x/r = r/x
So, secθ = r/x = √58/-3 = -√58/3
We know that tanθ = y/x.
So, tanθ = y/x = -7/-3 = 7/3
So, the exact values of sinθ = -7/√58.
The exact value of secθ = -√58/3 and
The exact value of tanθ = 7/3
What is the complete factorization of the polynomial below?
x3 + 3x2-x-3
Step-by-step explanation:
[tex]( {x}^{2})(x + 3) - (x + 3)[/tex]
[tex](x + 3)( {x}^{2} - 1) [/tex]
[tex](x - 1)(x + 1)[/tex]
[tex](x - 1)(x + 1)(x + 3)[/tex]
Hope this is correct and helpful
HAVE A GOOD DAY!
Answer:
(x+1) (x-1) (x+3)
Step-by-step explanation:
. .....................
solve 75cm ratio 1m
Step-by-step explanation:
Hello!!
Given that,
one is 75 cm and other is 1m.
now, let's convert 1m into cm.
so, 1m=100cm.
now,
ratio of 75cm to 100 cm = 75/100
=3/4
= 3:4 ...is answer.
Therefore, the ratio is 3:4.
Hope it helps..
Answer:
Ahhh
Step-by-step explanation:
I have this question too!!!
0.719 rounded to the nearest hundredth
Answer:
0.72
Step-by-step explanation:
hope i helped
pls mark brainliest im trying to level up
Answer:
0.719 rounded to the nearest hundredth is 0.720
Step-by-step explanation:
9 is more than 5, so you round up, and the next hundredth is 2, so you get 0.720.
Hope this helps!!! Brainliest would be appreciated
Please answer it now in two minutes
Answer:
157.5.
Step-by-step explanation:
(155 + 160) / 2
= 315/2
= 157.5.
Hey there! I'm happy to help!
We want to find whatever is in between J and K. To find the halfway point between any two numbers, you add them and then divide that result by two!
What's between 1 and 3?
1+3=4
4/2=2
So, we'll do the same here!
155+160=315
315/2=157.5
So, the midpoint is 157.5 or 157 1/2.
Have a wonderful day!
Please factorise the equations in the doc bellow ASAP. please show full working
Answer:
1) a+b(x)+a+(y)
b) a+b(x)-a-b(y)
2)p-q(r)-p-q(s)
b)r-2r(s)+r-2t(t)
Step-by-step explanation:
1) ax+bx+ay+by
a+b(x)+a+b(y)
b) ax+bx-ay-by
a+b(x)-a-b(y)
2) pr-ps+qr-qs
pr+qr-ps-qs
p+q(r)-p-q(s)
b) rs-2rs+rt-2t^2
r-2r(s)+r-2t(t)
Hope this helps ;) ❤❤❤
Answer:
Step-by-step explanation:
a)Use distributive property
ax + bx + ay + by = x(a + b) + y(a + b)
= (a + b) (x + y)
b) ax + bx - ay - by = x(a + b) - y (a +b)
= (a +b) (x - y)
2)
a) pr - ps + qr - qs = p (r - s) + q( r - s)
= (r -s )( p + q)
i need help with this equation 20 points help quick
Answer:
The equation of the graph after translating one unit to the left is;
[tex]y = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3[/tex]
Step-by-step explanation:
The given equation is [tex]y = \left | \dfrac{1}{2}\cdot x - 2 \right |+3[/tex]
We note that minimum value of y = 3, where 1/2·x - 2 = 0 and x = 4
Therefore, in moving one unit to the left, we have at the y-intercept where slope of the graph has become inverted (reflection of the real graph) we add one to the x value as follows;
[tex]y = \left | \dfrac{1}{2}\cdot (x+1) - 2 \right |+3 = \left | \dfrac{x}{2} + \dfrac{1}{2} - 2 \right |+3 = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3[/tex]
The equation of the graph becomes;
[tex]y = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3[/tex].
Help please!! Thanks!!!
Answer:
your answer is k
Step-by-step explanation:
not all the isosceles triangles are similar
What is the equation for continuous growth or compound interest
Answer: A = P(1 + \frac{r}{n})^{nt}
Step-by-step explanation: A = P(1 + \frac{r}{n})^{nt}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
From the web
The compound interest formula is ((P*(1+i)^n) - P), where P is the principal, i is the annual interest rate, and n is the number of periods.
Use the elimination method to solve the system of equations. Choose the
correct ordered pair.
X+ y = 8
x- y = 6
A. (7,1)
B. (8,2)
C. (9,3)
D. (60)
Answer:
The answer is option A.
Step-by-step explanation:
The steps are :
[tex]x + y = 8 - - - (1)[/tex]
[tex]x - y = 6 - - - (2)[/tex]
[tex](1) - (2)[/tex]
[tex]x + y - x - ( - y) = 8 - 6[/tex]
[tex]2y = 2[/tex]
[tex]y = 1[/tex]
[tex]substitute \: y = 1 \: into \: (1)[/tex]
[tex]x + 1 = 8[/tex]
[tex]x = 7[/tex]
5 points
13. The distribution by state of 840
students in the Faculty of Science of
a Nigerian university in a certain
session is as follows: Kano 45; Kwara
410; Ogun 105; Ondo 126; Oyo 154. In
a pie chart drawn to represent this
distribution, the angle subtended by
Ondo is
36°
0 42
45
0 54
Answer:
[tex]Angle = 54[/tex]
Step-by-step explanation:
Given
Kano = 45;
Kwara = 410;
Ogun = 105;
Ondo = 126;
Oyo = 154
Total Distribution = 840
Required
Determine the angle subtended by Ondo (in a pie chart)
The general formula to calculate subtended angle in a Pie chart is;
[tex]Angle = 360 * \frac{Frequency}{Total\ Frequency}[/tex]
In this case of Ondo
Frequency = 126
Total Frequency = Total Distribution = 840
Substitute these values in the given formula;
[tex]Angle = 360 * \frac{126}{840}[/tex]
[tex]Angle = \frac{360 *126}{840}[/tex]
[tex]Angle = \frac{45360}{840}[/tex]
[tex]Angle = 54[/tex]
Hence, the angle subtended by Ondo is 54
Clase de estadistica la moda es una medida de tendencia central que: ¿por que? a) tiene muchos datos b) tiene la mayor frecuencia c) tiene poca frecuencia d) al ordenar los datos de menor a mayor es el dato que se ubica en el centro
Answer:
b) tiene la mayor frecuencia
Step-by-step explanation:
Las medidas de tendencia central se refieren a un centro alrededor del cual se encuentran todos los datos y estas medidas son: la media, la moda y la mediana. La media es el valor promedio de un grupo de datos, la moda es el dato que se repite más veces y la mediana es el valor que se encuentra en el centro cuando los datos se ubican de menor a mayor. De acuerdo a esto, la respuesta es que la moda es una medida de tendencia central que tiene la mayor frecuencia.
Los otras opciones no son correctas porque el tamaño del conjunto de datos no depende de las medidas de tendencia central, esto depende de cada situación y pueden ser muchos o pocos datos. Además la opción "al ordenar los datos de menor a mayor es el dato que se ubica en el centro" se refiere a la mediana.
(6) Find a and b as well as the ratio c:d in the
figure below.
Answer:
i have a Similar question I’m stuck on, just remember z rule, vertically opposite etc.
Suppose instead of comparing independent measurements taken from two groups, you used a matched-pairs experiment and one treatment is randomly assigned to each half of the pair. In this case, how should you compute the confidence interval for the difference?
You should use a T distribution to find the critical T value based on the level of confidence. The confidence level is often given to you directly. If not, then look for the significance level alpha and compute C = 1-alpha to get the confidence level. For instance, alpha = 0.05 means C = 1-0.05 = 0.95 = 95% confidence
Use either a table or a calculator to find the critical T value. When you find the critical value, assign it to the variable t.
Next, you'll compute the differences of each pair of values. Form a new column to keep everything organized. Sum everything in this new column to get the sum of the differences, which then you'll divide that by the sample size n to get the mean of the differences. Call this dbar (combination of d and xbar)
After that, you'll need the standard deviation of the differences. I recommend using a calculator to quickly find this. A spreadsheet program is also handy as well. Let sd be the standard deviation of the differences
The confidence interval is in the form (L, U)
L = lower bound
L = dbar - t*sd/sqrt(n)
U = upper bound
U = dbar + t*sd/sqrt(n)
Please help me... having a hard time
Answer:
Graph (B)
Step-by-step explanation:
For x < 3,
An arrow starting with a hollow circle at x = 3 and heading towards 0 will represent the given inequality on a number line.
Similarly, x ≥ 5,
An arrow starting with a dark circle at x = 5 and heading towards 12 will represent the given inequality on a number line.
When we combine these inequalities on a number line, Graph (B) will be the answer.
JUST DO IT ALREADY!!! WILL MARK AS BRAINLIEST In a certain lottery, 3 balls are drawn (at random) from 10 white balls numbered from 1 to 10, and one special ball is drawn (at random) from ten red balls numbered from 11 to 20. When you buy a ticket, you choose three numbers from 1 to 10, and one number from 11 to 20. If the numbers on your ticket match at least two of the white balls or match the red SuperBall, then you win a super prize. What is the probability that you win a super prize? PUT THE CORRECT ANSWER IN ALREADY!!!!!
Answer:
4/30 is the answer the probability is 4/30
Help please asap!!
What are the units and degrees that u need to put in ?
Answer:
This question is unanwserable without the "Spider Tool" If you would like to revise it i'd be happy to help
Step-by-step explanation:
But the units are degrees
What is the equation of the function in vertex form? Substitute numerical values for a,h and k,
Answer:
f(x)= -2(x-8)²+6
Step-by-step explanation:
First graph the points
you will get a parabola that has a vertex in (8,6) wich means h= 8 and k=6
so the equation is
f(x) = a(x-8)²+6to get a we will replace by the coordinates of a point for example (6,-2)
-2 = a(6-8)²+6 -2 = a*4+6 -2-6 = 4a -8 = 4a a = -2a is negative wich makes sense since the parabola opens down
f(x) = -2(x-8)²+63) The Buendorf family has agreed to let their children get some animals. The kids said they
want chickens and goats, so the parents told them the number of chickens could be four
times that of the number of goats. They are allowed to have no more than 30 total animals.
What are the possible number of chickens and goats?
Answer:
The possible number of goats is 6 and the possible number of chicken is 24
Step-by-step explanation:
Let
chicken=c
Goat=g
the number of chickens could be four times the number of goats
c=4g
Total number of animals=30
c+g=30
Recall, c=4g
So,
c+g=30
4g+g=30
5g=30
Divide both sides by 5
5g/5=30/5
g=6
Recall,
c+g=30
c+6=30
c=30-6
=24
c=24
The possible number of goats is 6 and the possible number of chicken is 24 making a total of 30 animals
Please Help!! Brainliest for Right anwser!
What is the perimeter of a triangle that has two sides measuring 7 centimeters and a third side measuring 9 centimeters?
The perimeter is the sum of all of the lengths of the sides. To find the perimeter, add together the length of each side.
For this triangle, our side lengths are 7, 7, and 9.
7 + 7 = 14
14 + 9 = 23
The perimeter of a triangle that has two sides measuring 7 centimeters and a third side measuring 9 centimeters is 23 centimeters.
Hope this helps!! :)
A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equation of this circle is (x + ?)² + (y +?)² = ? PLEASE HELPPP!!!!!!!!!!!!
Answer:
???????????????????
Step-by-step explanation:
Anyone, I need help... Just answer the 6 (c)....and also proper working.☺️
Answer:
(i) The area of the rabbit cage when the width is 5.2 m is 81.5 m²
(ii) The area of the rabbit cage if Wilson has 40 meters of wire mesh is 75 m²
Step-by-step explanation:
(i) The given relation of the area, A to the width P of the rabbit cage is A = 3·p²
The graph of the function between the values of 0 and 6 inclusive is found as follows;
A, 3·p²
0, 0
1, 1
2, 12
3, 27
4, 48
5, 75
6, 108
Please find attached the graph of A to 3·p²
From the graph, we have when the the width, p, of the rabbit cage = 5.2, the area, A ≈ 81.5 m²
The area of the rabbit cage when the width is 5.2 m = 81.5 m²
(ii) Also from the graph given that the total wire mess with Wilson = 40 meters, we have;
The formula for the perimeter of the cage = The formula for the perimeter of a rectangle = 2×length + 2×width
The formula for the perimeter of the cage = 2×3×p + 2× p = 8·p
Where the total length of the wire mesh available = 40 meters for the cage
The 40 meters of wire mesh will be used round the perimeter of the cage
∴ 40 m. = 8·p
p = 40/8 = 5 m.
At p = 5 m. the area is given as A = 75 m².
Therefore, the area of the rabbit cage if Wilson has 40 meters of wire mesh = 75 m².
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
second option
Step-by-step explanation:
The range is all of the y values. In this scenario, the y values are the number of sit-ups per minute. We can eliminate the first and third options because they're talking about x when we want y. Additionally, we can eliminate the last option because that is all of the x values, therefore, the answer is the second option.
Answer:
[tex]\boxed{\mathrm{B}}[/tex]
Step-by-step explanation:
The range of a function is the set of all possible output values [tex]F(x)[/tex].
Options A and C are wrong because they talk about the input value x.
The output values are the number of sit-ups.
Option D talks about the ages (input).
It is given that a:b=1:2 and b = 3c.Find a:b:c.
Please help me to solve this question with steps,thanks! orz
Answer:
3 : 6 : 2
Step-by-step explanation:
Given
b = 3c ( divide both sides by 3 )
c = [tex]\frac{1}{3}[/tex] b , that is
c = [tex]\frac{1}{3}[/tex] × 2 = [tex]\frac{2}{3}[/tex]
Thus
a : b : c = 1 : 2 : [tex]\frac{2}{3}[/tex] ( multiply all parts by 3 )
a : b : c = 3 : 6 : 2
The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 4 minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will take between 2.5 and 5 minutes to find a parking spot in the library lot.
Answer:
the probability that a randomly selected college student will take between 2.5 and 5 minutes to find a parking spot in the library lot is 0.77454
Step-by-step explanation:
Given that:
mean = 4
standard deviation = 1
The objective is to find the probability that a randomly selected college student will take between 2.5 and 5 minutes to find a parking spot in the library lot.
i.e
[tex]P(2.5 \leq x \leq 5) = P(\dfrac{2.5 - \mu}{\sigma} \leq \dfrac{X-\mu}{\sigma}\leq \dfrac{5- \mu}{\sigma})[/tex]
[tex]P(2.5 \leq x \leq 5) = P(\dfrac{2.5 - 4}{1} \leq Z \leq \dfrac{5- 4}{1})[/tex]
[tex]P(2.5 \leq x \leq 5) = P(\dfrac{-1.5}{1} \leq Z \leq \dfrac{1}{1})[/tex]
[tex]P(2.5 \leq x \leq 5) = P({-1.5}\leq Z \leq 1)[/tex]
[tex]P(2.5 \leq x \leq 5) = P({Z < 1})- P(Z < -1.5)[/tex]
[tex]P(2.5 \leq x \leq 5) = 0.84134- 0.06680[/tex]
[tex]\mathbf{P(2.5 \leq x \leq 5) = 0.77454}[/tex]
Your family used two full tanks ofgasoline on a road trip. Your car drives about 25 miles per gallon, andthe tank holds 12 gallons of gasoline.a. Find the approximate number of gallons of gasoline used on the trip.b. Find the approximate number of miles you drove on the trip.c. Calculate Assume gasoline costs $1.50 per gallon. How much didyou spend per mile on gasoline?d. Apply You have $20 to spend on gasoline for another trip. The trip is350 miles. You spend the same amount per mile on gasoline as onthe first trip. Do you have enough money for gasoline? Explain.
Answer:
a. 24
b.600
c.36
d. No
Step-by-step explanation:
a.You know the approximate number of gallons is about 24 gallons because each tank holds twelve and your family used 2 of them.
b. You know you drove about 600 miles. This is because you used 24 gallons And each gallon should get you 25 miles. multiply The 2 together to get 600 miles. Or you could set a thing like 1/25=24/x and solve for x.
c. It cost 36 dollars because each gallon is 1.5 and you used 24 gallons so mul the two together to get 36
d. First find the amount of gallons used by dividing 350 by 25 to get 14. Then multiply 14 by 1.5 to get 21. 21 is greater than 20 so you don’t have enough money.
Can someone please help me I really need help help me thank you
Answer:
A to C = 25 A to B = 13 C to B = 37Step-by-Step Explanation:
Perimeter = 75
Sides:
2x + 3
3x + 4
2x - 9
1. Equal the sides added together to the perimeter75 = 2x + 3 + 3x + 4 + 2x - 9
2. Simplify Like terms2x + 3 + 3x + 4 + 2x - 9 = 7x - 2
3. Place the equation back together75 = 7x - 2
4. Isolate the variables and numbers75 = 7x - 2
+2 +2
77 = 7x
5. Simplify the equation77 = 7x
/7 /7
11 = x 6. Substitute the value of x into the side lengths.2x + 3 = 2(11) + 3 = 22 + 3 = 25
3x + 4 = 3(11) + 4 = 33 + 4 = 37
2x - 9 = 2(11) - 9 = 22 - 9 = 13