Answer:
10x^3 + x - 1
Step-by-step explanation:
(6x^3 -7x - 4) + (4x^3 + 8x + 3)
Combine like terms
6x^3 + 4x^3 = 10x^3
Combine like terms
-7x + 8x = x
Combine like terms
-4 + 3 = -1
Combine the results of the terms
10x^3 + x - 1
You bought a shirt with the price of $135.50, and the sale tax rate is 8.25% ___Find the sale tax
Answer:
tax is 11.50 tax and price is 147
Step-by-step explanation:
you would do 135.50 times 8.25% to find the tax which is estimated to $11.50 if you wanted to find the tax and the price you do $135.50 plus $11.50 which is $147
Multiply.
(2x+1)(6x2+8x+9)
Answer: 12x^ 3 + 22x^ 2 +26x + 9
Identify scale factor
Answer:
B. NO
Step-by-step explanation:
Figure B can only be a scale copy of Figure A if the ratio of their corresponding side lengths are equal.
Let's find out:
9/3 = 3
7.3/2.2 ≈ 3.3
Thus:
9/3 ≠ 7.3/2.2
Since the ratio of their corresponding side lengths are not equal, therefore Figure B is not a scale copy of Figure A.
The answer is NO.
Which number line represents the solutions to x + 4 = 2?
+
+
-6 -5 -4 -3 -2 -1 0
1
2 3
4
5
6
+
+
O
+N
-7 -6 -5 -4
0
1
2 3
4
5
6
+
O
O +
-7-6-5-4-3-2-1
1
2 3
4
5 6
+
+
+
+
-7 -6 -5 -4
-3 -2 -1 0
1
2
3
4 5 6 7
Answer:
A
Step-by-step explanation:
[tex]\sqrt{(x+4)^2} = 2\\(x+4)^2 = 4\\[/tex]
x + 4 = ± 2
x = -2
x = -6
252k is a perfect square. Find any two possible values of k.
Solve the system of equations given below. y - 15 =3x and -2 + 5y = -3
Answer:
y-15=3x balakaksnzujsbhzbskndh
Answer:
x = - 6 , y = - 3
Step-by-step explanation:
y - 15 = 3x => y = 3x + 15 ------- ( 1 )
-2x + 5y = - 3 --------- ( 2 )
Substitute ( 1 ) in ( 2 ) :
-2x + 5 ( 3x + 15) = - 3
-2x + 15x + 75 = - 3
13x = - 3 - 75
13x = - 78
x = - 6
Substitute x in ( 1 ) :
y = 3x + 15
= 3 ( - 6 ) + 15
= - 18 + 15
y = - 3
Whats the absoulute value of -3
Answer:
3
Step-by-step explanation:
The absolute value of a number is that number's distance from 0.
Therefore, |-3| = 3.
Answer:
the absolute value is the non-negative value of a real number without regard for its sign. so the absoulute value of -3 is 3 you just change the negative sign to a positive.
Step-by-step explanation:
3 is the answer
Which system has no solutions?
Answer:
2nd option
y > 6 and y < 2
Step-by-step explanation:
as the value of y can not be greater than 6 and less than 2 at the same time, the 2 inequalities have no common solutions
theefore no solution
Select all the ratios that are equivalent to 4:6.
Group of answer choices
2:3
3:6
16:24
8:18
400:600
Answer:
2:3
16:24
400:600
Step-by-step explanation:
divide 2 and you get 2:3
multiply 4 and get 16:24
multiply 100 and get 400:600
Out of 200 people sampled, 52 had kids. Based on this, construct a 99% confidence interval for the true population proportion of people with kids.
Answer:
0.180144 < p < 0.339856
Step-by-step explanation:
According to the Question,
Given That, Out of 200 people sampled, 52 had kids, Thus the proportion of the mean is 52/200 = 0.26⇒ standard error of the sample is square root(0.26 * (1-0.26) / 200) = 0.031
⇒alpha(a) = 1 - 99/100 = 0.01
⇒critical probability(p*) = 1 - a/2 = 0.995
⇒assuming a normal distribution, look for the z-score associated with 0.995 cumulative probability , z-score = 2.576
⇒margin of error(ME) = 2.576 * 0.031 = 0.079856
the confidence interval is 0.26 + or - 0.0798560.180144 < p < 0.339856
An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075. Robbin's GMAT score was 800. What must her grade point average be in order to be unconditionally accepted into the program?
Robbin's grade point average must be at least ___ in order to be unconditionally accepted into the program.
Answer:
Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.
Step-by-step explanation:
An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 100 times the undergraduate grade point average is at least 1075.
This means that:
[tex]x + 100y \geq 1075[/tex]
In which x is the GMAT score and y is the GPA.
Robbin's GMAT score was 800.
This means that [tex]x = 800[/tex]
What must her grade point average be in order to be unconditionally accepted into the program?
We have to solve the inequality for y. So
[tex]x + 100y \geq 1075[/tex]
[tex]800 + 100y \geq 1075[/tex]
[tex]100y \geq 275[/tex]
[tex]y \geq \frac{275}{100}[/tex]
[tex]y \geq 2.75[/tex]
Robbin's grade point average must be at least 2.75 in order to be unconditionally accepted into the program.
If f(x) = 3 – 2x and g (x) = 1/x+5 , what is the value of f/g (8)?
Answer:
-104/41
Step-by-step explanation:
f(8) = -13
g(8) = 41/8
f/g(8) = -13/1 / 41/8 = -(13×8) / (41×1) = -104 / 41
f/g(x) = (3-2x) / (1/x + 5) = (3-2x)/1 / ((1+5x)/x) =
= x×(3-2x) / (1+5x) = (3x - 2x²) / (1 + 5x)
for x=8 this gives the same result.
Using what you have learned about solving systems of equations, find the number that represents the apple, banana, and cherry.
Answer:
[tex]Apple \to 4[/tex]
[tex]Banana \to 4[/tex]
[tex]Cherry \to 5[/tex]
Step-by-step explanation:
Given
[tex]A \to Apple[/tex]
[tex]B \to Banana[/tex]
[tex]C \to Cherry[/tex]
From the rows, the equation is:
[tex]B + 2A =12[/tex] --- (1)
[tex]2B + C = 13[/tex] --- (2)
[tex]A + 2C = 14[/tex] --- (3)
Make A the subject in: [tex]A + 2C = 14[/tex]
[tex]A = 14 -2C[/tex]
Substitute [tex]A = 14 -2C[/tex] in [tex]B + 2A =12[/tex]
[tex]B + 2(14 - 2C ) = 12[/tex]
[tex]B + 28 - 4C = 12[/tex]
Make B the subject
[tex]B = 4C - 28 +12[/tex]
[tex]B = 4C -16[/tex]
Substitute [tex]B = 4C -16[/tex] in [tex]2B + C = 13[/tex]
[tex]2(4C - 16) + C = 13[/tex]
[tex]8C - 32 + C = 13[/tex]
Collect like terms
[tex]8C + C = 13+32[/tex]
[tex]9C = 45[/tex]
Divide by 9
[tex]C = 5[/tex]
Recall that:
[tex]B = 4C -16[/tex]
[tex]B =4*5-16[/tex]
[tex]B =20-16[/tex]
[tex]B =4[/tex]
Recall that:
[tex]A = 14 -2C[/tex]
[tex]A= 14 -2*5[/tex]
[tex]A= 14 -10[/tex]
[tex]A =4[/tex]
Hence:
[tex]Apple \to 4[/tex]
[tex]Banana \to 4[/tex]
[tex]Cherry \to 5[/tex]
Exhibit 11-2 We are interested in determining whether the variances of the sales at two music stores (A and B) are equal. A sample of 25 days of sales at store A has a sample standard deviation of 30, while a sample of 16 days of sales from store B has a sample standard deviation of 20. At 95% confidence, the null hypothesis _____. a. should not be rejected b. should be revised c. should be rejected d. None of these answers are correct.
Answer:
Option A , should not be rejected
Step-by-step explanation:
From the question we are told that:
Sample 1 [tex]n=25[/tex]
Standard deviation 1 [tex]\sigma_1=30[/tex]
Sample 2 [tex]n=16[/tex]
Standard deviation 2 [tex]\sigma_2=20[/tex]
Level of confidence [tex]\alpha=95\%=>0.95[/tex]
Generally The Hypothesis are given as
[tex]H_0:\sigma_1^2=\sigma_1^2[/tex]
[tex]H_1:\sigma_1^2\neq \sigma_1^2[/tex]
Generally the equation for test Statistics is mathematically given by
[tex]T=\frac{\sigma_1^2}{\sigma_2^2}[/tex]
[tex]T=\frac{30^2}{20^2}[/tex]
[tex]T=2.25[/tex]
Therefore
Critical Value
[tex]X=(\alpha,df_1)[/tex]
[tex]X'=(\alpha,df_2)[/tex]
Where
[tex]df=n-1[/tex]
Therefore
[tex]X=(0.95,24)[/tex]
[tex]X'=(0.95,15)[/tex]
From Table
[tex]T_{Critical}=T_x,T_{x'}[/tex]
[tex]T_{Critical}=0.41,2.701[/tex]
Therefore
[tex]T_x<T<T_{x'}[/tex]
Hence,We fail to reject the Null Hypothesis [tex]H_0[/tex]
Option A , should not be rejected
help pleaseeeeee !!!!
Answer:
P(10) = 26237[1 + 0.024]^10
Step-by-step explanation:
From the information given :
Initial population, P0 = 26, 237
Annual growth rate, r = 2.4%
Number of Years, n = 10
The general exponential growth relation is give as :
P(x) = P0(1 + r)^n
Where ;
P(x) = population after x years
P0 = Initial population
r = growth rate
n = number of years
P(10) = 26237[1 + 0.024]^10
A prescription requires 10 mg of tablet. A nurse read the incorrect unit of measurement and gave a patient .1 g of the tablet. Is the patient at risk and she should inform the doctor immediately?
A nurse read the incorrect unit of measurement and gave a patient 100 mg of the tablet.
The patient at risk and she should inform the doctor immediately.
What is a unitary method?Unitary method is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Given
Prescription requires 10 mg of tablet.
A nurse read the incorrect unit of measurement and gave a patient .1 g of the tablet.
We know
1 g = 1000 mg
0.1 g = [tex]x[/tex]
⇒ [tex]x[/tex] × 1 = 0.1 × 1000
⇒ [tex]x[/tex] = 100 mg
10 mg < 100 mg
By using unitary method we can say that
A nurse read the incorrect unit of measurement and gave a patient 100 mg of the tablet.
The patient at risk and she should inform the doctor immediately.
Learn more about unitary method here
https://brainly.com/question/22056199
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Write the following phrase as an expression c less than 27
Answer:
27 -c
Step-by-step explanation:
less than means it comes after
27 -c
Answer:
27 - c
Step-by-step explanation:
If something is less by a number then it is that number minus whatever it is less by, thus 27 - c.
Ms Greene class has two chameleons. Lumpy total length is 12 inches and Larry is 6 inches. Each of their fails is twice as long as its body. How long is lumpy tail
Which answer describes the pattern in this sequence? 2,1,12,14,... multiply by 2 add 12 subtract 1 multiply by 12
PLEASE ANSWER I NEED THIS DONE BY TOMMOROW
Answer:hbwufvj6y
Step-by-step explanation:
y=(x+3)(x-13) the x-intercepts are?
Answer:
the x-intercepts are at (-3,0) and (13,0)
Step-by-step explanation:
I dont think this is college level though :)
The volume of a cylinder is calculated by multiplying the area of the base and the height. The volumes of a cylinder and a cone with the same radius and height are shown.
Which describes how to find the volume of a cone?
Answer:
Volume of a cone = ⅓volume of a cylinder
WHICH IS WARMER -9 OR -12 DEGRESS
Answer:
-9 Degrees is warmer because that number is bigger than -12.
Step-by-step explanation:
Answer:
-9 is warmer
Step-by-step explanation:
Since this negative we want to get closer to zero to be warmer
-12 means you owe 12
-9 means you owe 9
The more you owe means is further away from zero
-12 < -9 <0
Click on the area of the square 8 cm
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Length of each side of the square (s) = 8 cm
Area of the square (a) = ?
[tex]a = s {}^{2} \\ a = 8 {}^{2} \\ a = 8 \times 8 \\ a = 64 \: \: cm {}^{2} [/tex]
✐ Area of the square is 64 square centimetres.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Which expression gives the distance between the points (2, 5) and (-4, 8)?
Answer:
[tex]\sqrt{(y2-y1)^{2} +(x2-x1)^{2} }[/tex]
[tex]\sqrt{9+36}[/tex]
[tex]\sqrt{45}[/tex]
Step-by-step explanation:
If f(x)=x^2 is vertically stretched by a factor of 9 to g(x). What is the equation of g(x)?
Given:
The function is:
[tex]f(x)=x^2[/tex]
This function is stretched by a factor of 9 to g(x).
To find:
The equation of function function g(x).
Solution:
The vertical stretch is defined as:
[tex]g(x)=kf(x)[/tex] ...(i)
If [tex]0<k<1[/tex], then the function f(x) compressed vertically by factor k.
If [tex]k>1[/tex], then the function f(x) stretched vertically by factor k.
The given function f(x) is stretched by a factor of 9 to g(x). So the value of k is 9.
Substituting [tex]k=9[/tex] in (i), we get
[tex]g(x)=9f(x)[/tex]
[tex]g(x)=9x^2[/tex] [tex][\because f(x)=x^2][/tex]
Therefore, the required function is [tex]g(x)=9x^2[/tex].
what is the answer to mbce?
Answer:
b. 130
Step-by-step explanation:
the correct answer is 130
Explain why the equation is not linear.
5/x - y = 1
A. x Should be an exponent.
B. The x variable appears in the denominator.
C. The coefficient of both variables must be equal.
D. There should be an exponent of 2 on either x or y.
Answer:
B. The x variable appears in the denominator.
Step-by-step explanation:
Given
[tex]\frac{5}{x} - y = 1[/tex]
Required
What makes it not linear
First, make y the subject
[tex]y = \frac{5}{x}+1[/tex]
A linear equation is represented as:
[tex]y = mx + b[/tex]
Notice that the exponent of x in the general form is: 1
This means that x has to appear as a numerator
In [tex]y = \frac{5}{x}+1[/tex], the exponent of x is -1
This means that x has to appear as a denominator
Hence, (b) is true
Find the measure of the missing angle
Answer: a=
Answer:
a = 79
Step-by-step explanation:
The two angles from a straight line which is 180 degrees
a+101 =180
Subtract 101 from each side
a = 180-101
a = 79
Diane Renay movie she started the movie at 10:46 p.m. and it was 3 hours and 31 minutes long when did the movie End
Answer:
2:17 am
Step-by-step explanation:
3 hours after 10:46 would be 1:46
1:46 plus 31 minutes is 1:77 but there are only 60 minutes in an hour so 1:77 is 17 minutes after 2:00, or 2:17 am
Parte de Cálculo: En cada una de las siguientes proporciones, utilizar regla de tres para determinar el valor desconocido
x/5 = 8/10
8/12 = 2/x
15/3 = x/2
x/6 = 6/12
x/8 = 4/2
10/2 = x/7
Answer:
x = 4
x = 3
x = 10
x = 3
x = 16
x = 35
Step-by-step explanation:
[tex]\frac{x}{5} :\frac{8}{10}[/tex]
x · 10 = 5 · 8
10x = 40
10x ÷ 10 = 40 ÷ 10
x = 4
[tex]\frac{8}{12} :\frac{2}{x}[/tex]
x · 8 = 12 · 2
8x = 24
8x ÷ 8 = 24 ÷ 8
x = 3
[tex]\frac{15}{3} :\frac{x}{2}[/tex]
x · 3 = 15 · 2
3x = 30
3x ÷ 3 = 30 ÷ 3
x = 10
[tex]\frac{x}{6}:\frac{6}{12}[/tex]
x · 12 = 6 · 6
12x = 36
12x ÷ 12 = 36 ÷ 12
x = 3
[tex]\frac{x}{8} :\frac{4}{2}[/tex]
x · 2 = 8 · 4
2x = 32
2x ÷ 2 = 32 ÷ 2
x = 16
[tex]\frac{10}{2} :\frac{x}{7}[/tex]
x · 2 = 10 · 7
2x = 70
2x ÷ 2 = 70 ÷ 2
x = 35