Answer:
245
Step-by-step explanation:
120+125=245
23) A recipe for cupcakes calls for 6 cups of
sugar. Shreya has already put in 3 cups.
How many more cups does she need to put
in?
Answer:
Shreya must put in 3 more cups of sugar.
Step-by-step explanation:
Given that a recipe for cupcakes calls for 6 cups of sugar, and Shreya has already put in 3 cups, to determine how many more cups does she need to put in to complete the amount required by the recipe, the following calculation must be performed:
6 - 3 = X
3 = X
Therefore, Shreya must put in 3 more cups of sugar.
A square piece of paper has an area of x2 square units. A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper. The remaining piece of paper has an area of 120 square units.
Which equation can be used to solve for x, the side length of the original square?
x2 − 2x − 120 = 0
x2 + 2x − 120 = 0
x2 − 2x + 120 = 0
x2 + 2x + 120 = 0
Answer:
x² - 2x - 180 = 0
Step-by-step explanation:
A square piece of paper has an area of x² square units
w = x
l = x
A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper.
this leaves
l = x
w = x - 2
x(x - 2) = 180
x² - 2x = 180
x² - 2x - 180 = 0
Answer:
x2 − 2x − 120 = 0
Step-by-step explanation:
Area of Square-A square's area is calculated by multiplying each side's length by itself. That is, Area A = s x s, with s denoting the length of each square side. A square with each side measuring 8 feet in length has an area of 8 times 8, or 64 square feet.
Given data is-Let x the length side of the original square paper
we know that the area of the original square paper is equal to
[tex]A1=x*x=x^{2} units{2}[/tex]
the area of the remaining piece of paper is equal to
[tex]$A 2=x^{2}-2 x$\\$A 2=120$ units $^{2}$[/tex]
so
[tex]$x^{2}-2 x=120$$x^{2}-2 x-120=0$[/tex]
therefore, the side length of the original square is x2 − 2x − 120 = 0
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Plz help me well mark brainliest if correct................?
Answer:
B. 8cm*12cm
Step-by-step explanation:
Area is the product of the two sides:
6*16 = 96
8*12 = 96
10*10 = 100
Perimeter is the sum of all four sides:
6+16+6+16 = 44
8+12+8+12 = 40
The answer is B. 8cm*12cm
How many students will be in each group...?
Mr. Hooper and Mr. Dale are playing a one-on-one basketball game in Madison Square Garden, 60 5th grade scholars from Beloved will attend the game.
They will travel to the game in groups with x teachers. Complete the table. How many scholars will be in each group if x = 3
X
30 x
1
30
3
6
4 students
6 students
10 students
90 students
9
10 11 12 13 14 15 16 17 18
Answer:
10 students
Step-by-step explanation:
Hope this helps!
Howto solve for x in X+10=30
Answer:
20
Step-by-step explanation:
x+10=30
x=30-10
x=20
HOPE IT HELPEDStep-by-step explanation:
=>x+10=30=>x+10-10=30-10 ten(+10) will be cancelled by negative ten(-10)=>x=20check
20+10=30
24. Identify the center and radius of the circle given the equation (x +15)2 + (7 - 9)2 = 25 .
a. Center: (-15, 9), Radius: 5
b. Center: (15, -9), Radius: 25
c. Center: (-15, -9) Radius: 5
d. Center: (15,9) Radius: 25
Answer:
a. Center: (-15, 9), Radius: 5
Step-by-step explanation:
Equation of a circle:
The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this question, we have that:
[tex](x + 15)^2 + (y - 9)^2 = 25[/tex]
Comparing both equations:
[tex]x - x_0 = x + 15[/tex]
[tex]x_0 = -15[/tex]
And
[tex]y - y_0 = y - 9[/tex]
[tex]y_0 = 9[/tex]
The center is [tex](-15,9)[/tex].
For the radius:
[tex]r^2 = 25[/tex]
[tex]r = \sqrt{25} = 5[/tex]
The correct answer is given by option a.
Find the focus.
x2 = 6y
A. (0, 3/2)
B. (0,6)
C. (0, -3/2)
D. (3/2,0)
Answer:
The answer would be (0,3/2) or letter A.
Step-by-step explanation:
In conclusion the answer is letter A (0,3/2)
You welcome.
The co-ordinate of the focus of the given equation of the parabola x^2=6y is (0,3/2).
We have given the equation is
[tex]x^2 = 6y[/tex]
We know that the general equation of the parabola is,
[tex]x^2=4ay[/tex]
A line that passes through the focus and divides the parabola into two halves is known as the axis of symmetry.
What are the coordinates of the focus?
The coordinates of the focus [tex]f(0, a)[/tex]
We have to determine the value of
[tex]a4a=6a \implies 6/4a=3/2[/tex]
Therefore the coordinate of the focus is[tex](0,3/2)[/tex].
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Anne works in a factory she recieves a salary of $8 per hour and piecework pay of 12 cents per unit produced
Answer: See explanation
Step-by-step explanation:
a. What was her piece work pay?
Anne's piecework pay = 12 cents per unit produced
Number of units produced = 755
Anne's Piecework pay = $0.12 × 755 = $90.60
b. What was her total hourly pay for the week?
Anne's hourly pay = $8 pee hour
Number of hours worked = 38
Total hourly pay = 38 × $8 = $304
c. What was her total pay for the week?
This will be:
= $90.60 + $304
= $394.60
Write the correct value for each letter in the synthetic division process
Answer:
A= -6 B=-4 C= 12 D= -4
Step-by-step explanation:
3 • -2= -6
2•-2= -4
4+8=12
20 + -24 = -4
An article in Biotechnology Progress (Vol. 17, 2001, pp. 366–368) reported an experiment to investigate and optimize nisin extraction in aqueous two-phase systems (ATPS). The nisin recovery was the dependent variable (y). The two regressor variables were concentration (%) of PEG 4000 (denoted as x1) and concentration (%) of Na2SO4 (denoted as x2).
x1 x2 y
13 11 62.8739
15 11 76.1328
13 13 87.4667
15 13 102.3236
14 12 76.1872
14 12 77.5287
Requried:
a. Fit a multiple linear regression model to these data.
b. Estimate and the standard errors of the regression coefficients.
c. Test for significance of β1 and β2.
Answer:
ŷ = 7.02895X1 + 12.6959X2 - 170.33728
Since the calculated F=32 falls in the critical region F ≥ 9.55 we reject our null hypothesis and conclude that there is association between at least one of the regressors and the dependent variable.
Step-by-step explanation:
Using stat calculator:
Part A:
x1 x2 y Predicted Y Residual
13 11 62.8739 60.693967 2.179933
15 11 76.1328 74.751867 1.380933
13 13 87.4667 86.085767 1.380933
15 13 102.3236 100.143667 2.179933
14 12 76.1872 80.418817 -4.231617
14 12 77.5287 80.418817 -2.890117
mean
14 12 80.418817 80.418817 0
standard deviation
0.89 0.89 13.2812 12.979739 2.813451
Calculation
Sum of X1 = 84
Sum of X2 = 72
Sum of Y = 482.5129
Mean X1 = 14
Mean X2 = 12
Mean Y = 80.4188
Sum of squares (SSX1) = 4
Sum of squares (SSX2) = 4
Sum of products (SPX1Y) = 28.1158
Sum of products (SPX2Y) = 50.7836
Sum of products (SPX1X2) = 0
Regression Equation = ŷ = b1X1 + b2X2 + a
b1 = ((SPx1y)*(SSx2)-(SPx1x2)*(SPx2y)) / ((SSx1)*(SSx2)-(SPx1x2)*(SPx1x2)) = 112.46/16 = 7.02895
b2 = ((SPx2y)*(SSx1)-(SPx1x2)*(SPx1y)) / ((SSx1)*(SSx2)-(SPx1x2)*(SPx1x2)) = 203.13/16 = 12.6959
a = MY - b1MX1 - b2MX2 = 80.42 - (7.03*14) - (12.7*12) = -170.33728
ŷ = 7.02895X1 + 12.6959X2 - 170.33728
X1-Mx1 X2-Mx2 Y-My (X1-Mx1)² (X2-Mx2)²
-1 -1 -17.545 1 1
1 -1 -4.286 1 1
-1 1 7.048 1 1
1 1 21.905 1 1
0 0 -4.232 0 0
0 0 -2.89 0 0
SSX1: 4 SSX2: 4
SPx1y SPx2y SPx1x2
17.545 17.545 1
-4.286 4.286 -1
-7.048 7.048 - 1
21.905 21.905 1
0 0 0
0 0 0
SPX1Y: SPX2Y: SPX1X2: =0
= 28.116 =50.784
Part B
Coefficient Table
Coefficient SE t- stat
x1 -170.337283 33.519576 -5.081725
x2 7.028950 1.816075 3.870408
b 12.695900 1.816075 6.990847
Part C:
Test for significance of β1 and β2.
State the null and alternate hypotheses as
H0: β1=β2=0
Ha: At least one of the β1 and β2 is non zero.
The significance level is set at ∝= 0.05
The test statistic to use is
F= MSR/ MSE= MS regression/ MS Residual
which if H0 is true has F distribution with υ1= 2 and υ2= n- 3= 6-3= 3 degrees of freedom.
To set up the ANOVA table we find the necessary sum of squares .
Regression SS ( between y^ and y`) = SSR= 842.368060
Residual SS ( between yi and y^) = SSE= 39.577526
Total SS = SSR+ SSE= 842.368060+39.577526= 881.945586
ANOVA table
Source DF Sum of Square Mean Square F Statistic
Regression
(b/w ŷi and yi) 2 842.368060 421.184030 31.926000
Residual
(b/w yi and ŷi) 3 39.577526 13.192509
Total (b/w yi and yi)5 881.945586 176.389117
The critical region is F≥F (0.05) (2,3)=9.55
Conclusion:
Since the calculated F=32 falls in the critical region F ≥ 9.55 we reject our null hypothesis and conclude that there is association between at least one of the regressors and the dependent variable.
Which of the following are not linear functions? Place a check mark in the box next to each equation that is not a linear function.
A. x = 4
B. y = 5
C. y = 3x + 2
D. y = 2x 2 + 1
E. y = x 2
Answer:
D. y = 2x² + 1
E. y = x²
Step-by-step explanation:
Linear function:
A linear function has the following format:
[tex]y = ax + b[/tex]
In which a is the slope and b is the y-intercept. A constant function is linear, as it is the special case in which a = 0.
In this question:
In options D and E, the highest exponent of x is 2, which means that they are not linear functions, and so these options are the answer.
Hi, i need to calculate roots x1 and x2 using the vieta theorem, can anyone help me? I have found the answer for x1 and x2, its 1,5 and 2, all i need is a solution on how to get this answer, the equation is in the picture, will give you brainliest if you type down the correct solution for me, thanks.
Answer:
Solution given:
-2x²+7x-6=0
2x²-7x+6=0
Comparing above equation with ax²+bx+c
we get
a=2
b=-7
c=6
By using Vieta's theorem
X1+X2=[tex] \frac{-b}{a} [/tex]=[tex] \frac{7}{2} [/tex]
again
X1X2=[tex] \frac{c}{a} [/tex]=[tex] \frac{6}{2} [/tex]=3
x1x2=3
x1+x2=7/2
Can someone please help me with this question?!? I am so confused and I don't know how to answer it.
Use the graph of the function f to decide whether the value of the given quantity exists. If it does, find it. If not, explain why.
a. f(0)
b. lim f(x) x->0
c. f(2)
d.lim f(x) x->2
9514 1404 393
Answer:
a. f(0) = 1
b. DNE (does not exist)
c. DNE
d. lim = 3
Step-by-step explanation:
The function exists at a point if it is defined there. The function is defined anywhere on the solid line and at solid dots. It is not defined at open circles. So, the function is defined everywhere except (2, 3), which has an open circle.
The open circle at (0, 4) prevents the function from being doubly-defined at x=0, since it is already defined to be 1 at x=0.
This discussion tells you ...
f(0) = 1
f(2) does not exist. There is a "hole" in the function definition there.
__
The function has a limit at a point if approaching from the left and approaching from the right have you approaching that same point.
Consider the point (1, 2). The graph is a solid line through that point. Approaching from values less than x=1, we get to the same point (1, 2) as when we approach from values greater than x=1.
Similarly, consider the point (2, 3). Approaching from values of x less than 2, we get to the same point (2, 3) as when we approach from x-values greater than 2. The limit at x=2 is 3. The only difference from the previous case is that the function is not actually defined to be that value there.
__
Now consider what happens at x=0. When we approach from the left, we approach the point (0, 4). When we approach from the right, we approach the point (0, 1). These are different points. Because they are different coming from the left and from the right, we say "the limit as x→0 does not exist."
__
In summary, ...
a) f(0) = 1
b) lim x → 0 does not exist
c) f(2) does not exist
d) lim x → 2 = 3
_____
Additional comment
The significance of the function not being defined at a point where the limit exists, (2, 3), is that the function is not continuous there. This kind of discontinuity is called "removable", because we could make the function continuous at x=2 by defining f(2) = 3 (that is, "filling the hole").
A cube has an edge length of 2 feet. What is its volume, in cubic feet?
Answer:
Volume of the cube is 8 cubic feet.Step-by-step explanation:
Given that:
A cube has an edge length of 2 feet.To Find:
What is its volume, in cubic feet?We know that:
Volume of a cube = (Edge)³Finding the volume:
⇒ Volume = (2)³
⇒ Volume = 2 × 2 × 2
⇒ Volume = 8
Hence,
Its volume is 8 cubic feet.if two lines do not intersect, they are parallel
Answer:
true
Step-by-step explanation:
Steven and his family ordered a meal the cost 136.50. Steven paid 14% sales tax and left a 20% tip on 136.50. What was the total cost
Answer:
The total cost was $182.91.
Step-by-step explanation:
Tax formula:
tax=tax percentage×amount
Tip formula:
tip=tip percentage×amount
solve
First find the tax. Write 14% as the decimal 0.14 before using it in the equation.
tax
= tax percentage×amount
= 0.14×136.50
= 19.11
The tax was $19.11.
Now find the tip. Write 20% as the decimal 0.20 before using it in the equation.
tip
= tip percentage×amount
= 0.20×136.50
= 27.3
The tip was $27.30.
Finally, find the total cost.
total cost
= cost + tax+tip
= 136.50+19.11+27.30
= 182.91
Answer:
182.91
Step-by-step explanation:
Which number line shows the inequality
n > -3?
Answer:
1st number line
Step-by-step explanation:
Mitch jarred 12 liters of jam 2 days. How many days does Mitch need to spend making jam if he want to jar 18 jam in all
Answer:
3 days
Step-by-step explanation:
well, in 2 days mitch can jar 12 liters of jam right? but 12 is divisible by 2. so let’s just do that to help us out later, 12 / 2 = 6
now that we have that, let’s make sure. in 1 day he can jar 6, in 2 he can jar 12.
that seems right! so now, can we add 6 to 12 to make 18? yep! how many more times do we need to add 6? 1 time. so 12 + 6 = 18. every 6 liters is 1 day. so 1 day + 1 day + 1 day (18 liters) is 3 days total!
hope this helped you!
Write two expressions that are equivalent to 4n -5.
-5+4n and 4n+(-5), that is the answer
Bell Ringer
1. A rectangle has a length of 5 ft. and an area
of 45 ft? What is the width of the rectangle?
Draw and label the rectangle with the
information given to help you solve.
42
Answer:
9 ft
Step-by-step explanation:
Area of a a rectangle = length × width.
Plug in the information youhave.
45ft. = 5ft × ?
45 = 5x
9 = x
need help really please
Answer:
8.2
Step-by-step explanation:
Answer??? I need help ASAP
Answer:
it is -67
Step-by-step explanation:
What is the area of the circle? *.
Answer:
19.63cm²
Step-by-step explanation:
1/4 x π x 5² = 19.63495cm²
= 19.63cm²
the graph of the square root parent function f(x)= [tex]\sqrt{x} \\[/tex] is horizontally compressed by a factor of 1/3, translated right by 3 units, and translated down 5 units to yield g(x). which function can be used to representg(x)?
Answer:
my brain exploded trying to answer it sorry
Step-by-step explanation:
dang
help how to do this due in a few hours
Answer:
x=52 y=116
Step-by-step explanation:
because they give you the angle 116.
those two are actually equal.
y=116
since that is true, you can do 180-116=64.
now, you subtract 64-12
which is 52.
Is the answer yes or no?
Answer:
yes
Step-by-step explanation:
because in order to create a right triangle all of its sides must be different
Answer:
Yes
Step-by-step explanation:
Using the Pathagerum theorm (C**2 = A**2 + B**2)
The hypotinuse as always the longest side except for an equal lateral triangle. So if it is a right angle triagle so if true then,
13**2 = 5**2 + 12**2
169 = 25 + 144
169 = 169
so it is true (YES).
2 + 2 its reallyhard
Answer:
I think the answer is 4
Step-by-step explanation:
If you do this thing called ADDITION, 2+2=4.
The first question
(Worth 10 points) please help
9514 1404 393
Answer:
C. 7
Step-by-step explanation:
To find the value of 2Ω3 using the definition of AΩB, we are replacing A with 2, and B with 3. This seems to give us ...
2Ω3 = 2² +3² -2·3 = 4 + 9 - 6 = 7
The value of 2Ω3 is 7.
A family eats at a restaurant and leaves a tip that
increases the cost of the meal by 20%. The cost of the
meal before the tip is $41.27. How much is the cost of the
meal with the tip included?
Answer:
49.52
Step-by-step explanation:
Answer:
49.52 !!
Step-by-step explanation:
They’re correct ⬆️
You are in charge of buying pizzas for the math club meeting. The individual pizzas cost $5 each, and the large pizzas cost $10 each. You have $80 to spend. Write an equation that matches this situation.
Answer:
Big pizzas = B. Normal pizzas = N;
10B + 5N = 80
Step-by-step explanation:
Required equation that matches the given situation is 5x+10y = 80
What is equation?A mathematical equation which represents the relationship of constants and variable with Arithmetic operationsIt has one variable or more than one variable.It has equal to symbol.For Example: 3y-8 = 1, it has the solution y = 3.Let the number of individual pizza be x
Let the number of large pizza be y
Cost to be spent is $80
Cost of individual pizza = $5
Cost of large pizza = $10
The equation matched this situation is 5x + 10y = 80.
Hence, the required equation is 5x + 10y = 80
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