3x^2 = 48
Divide both sides by 3
3x^2 ÷ 3 = 48 ÷ 3
x^2 = 16
Take a square root from both sides
√x^2 = + √16 " OR " √x^2 = - √16
x = 4 " OR " x = - 4
Thus the correct answer is option 3 .
Question 6
1 pts
A baby weighed 7.2 pounds at birth. Her weight was recorded at each of her infant
doctor appointments. The records for her appointments from birth to six months are
shown in the table below. Use the line of best fit to estimate the baby's weight at 1
year (12 months)?
Months
Weight (lbs)
Answer:
24.4
Step-by-step explanation:
Given the data :
Month (X) : 0, 1, 2, 4, 6
Weight (Y) : 7.2, 9.4, 10.5, 13.2, 15.9
To obtain the predicted weight at 1 year, we fit the data to obtain the regression model. Using technology, the regression model obtained is :
y = 7.6 + 1.4X1
Substituting x = 1 year into the regression model, we obtained the predicted weight at 1 year ;
1 year = 12 months, hence, x = 12
y = 7.6 + 1.4(12)
y = 7.6 + 16.8
y = 24.4
can someone please help me on this
Help this one as well pls and thank you
Answer:
11x +9
Step-by-step explanation:
Add the two expressions together to get the total number of ice creams sold
8x+16 + 3x-7
Combine like terms
8x+3x + 16 -7
11x +9
Answer:
11x +9
Step-by-step explanation:
Add the two expressions together to get the total number of ice creams sold
8x+16 + 3x-7
Combine like terms
8x+3x + 16 -7
11x +9
which of the is not an example of property tax?
A) Tax paid on the value of a farm a person owns
B) Tax paid on the value of a piece of land a person owns
C) Tax paid on the value of a piece of furniture a person owns
D) Tax paid on the value of a home a person owns
Answer:
C
Step-by-step explanation:
Furniture is not counted as property that can be taxed.
What does a country need to do to keep a republic, and not fall under the power of a dictator?
Answer:
Continue to provide equality for all!
Step-by-step explanation:
When rules and regulations are in place, the government runs smoothly but also people still need to have a voice because without us - there is no government(social contract). We the people(constitution) have the power to prevent a dictator.
Hope this helps:)
Aaron is considering two health insurance plans. The Get Well Soon Company charges an annual fee of 100
plus 10
per doctor visit, given y=100+10x
. The Mega Coverage Company charges $35 per doctor, with no annual fee, represented by the equation: y=35x
.
Which insurance company has the LOWER rate and what is the rate?
The insurance company has 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.
What is the system of equation?A system of equations is a collection of two or more equations with a same set of unknowns.
In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.
Aaron is considering two health insurance plans. The Get Well Soon Company charges an annual fee of 100 plus 10 per doctor visit, given y=100+10x
The Mega Coverage Company charges $35 per doctor, with no annual fee, represented by the equation: y=35x.
On solving both the equations
[tex]\rm 35x=100+10x\\\\35x-10x=100\\\\25x=100\\\\x=\dfrac{100}{25}\\\\x=4[/tex]
For 4 doctor visits charges are same and Rate 35 $ per doctor visit.
For less than 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.
Hence, The insurance company has 4 doctor visits y=35x is lower rate and Rate 35 $ per doctor visit for more than 4 doctor visits y=100+10x.
Learn more about system of equation here;
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Solve for x. The triangles in each pair are similar. Please explain!! I’m so confused
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Given
[tex]\triangle JDC[/tex] similar to [tex]\triangle JKL[/tex]
Required
Find x
To do this, we make use of the following equivalent ratios
[tex]JK:JL = JD:JC[/tex]
This gives
[tex]98 : 63 = 7x + 7:27[/tex]
Express as fraction
[tex]\frac{98 }{ 63} =\frac{ 7x + 7}{27}[/tex]
Multiply both sides by 27
[tex]27 * \frac{98 }{ 63} =\frac{ 7x + 7}{27} * 27[/tex]
[tex]27 * \frac{98 }{ 63} =7x + 7[/tex]
[tex]3* \frac{98 }{ 7} =7x + 7[/tex]
[tex]3* 14 =7x + 7[/tex]
[tex]42 =7x + 7[/tex]
Collect like terms
[tex]7x = 42 - 7[/tex]
[tex]7x = 35[/tex]
Divide both sides by 7
[tex]x = 5[/tex]
Which equation is true for the value a=7
A. a+2(a-3)= 15
B. 4a-4(14)-a=24
C. 2a+47=105
D.3a+2(a-3)=34
E. 4a-2a=18
Answer:
The answer is just re look at the question A
Answer
THE ANSWER IS A
Step-by-step explanation:
How many solutions will the following equation have? 2x - 7 = -3x + 5
a. One Solution
b. Infinite Solutions
c. No Solutions
Answer:
one solution lets see[tex]2x - 7 = 3x + 5 \\ - x = 12 \\ x = - 12[/tex]
If you just want to check then substitute the value
[tex]2x - 7 = 3x + 5 \\ 2 \times ( - 12) - 7 = 3 \times ( - 12) + 5 \\ - 24 - 7 = - 36 + 5 \\ - 31 = - 31[/tex]
Hope it helps
Oscar is trying to incorporate more exercise into his busy schedule. He has several short
exercise routines he can complete at home. Last week, he worked out for a total of 35
minutes by doing 2 arm routines and 1 abdominal routine. This week, he has completed 4
arm routines and 1 abdominal routine and spent a total of 55 minutes exercising. How long
does each routine last?
minutes to complete, and an abdominal routine takes
An arm routine takes
minutes to complete.
Answer:
The arm routine lasts 10 minutes, and the abs routine lasts 15 minutes.
Step-by-step explanation:
Since Oscar is trying to incorporate more exercise into his busy schedule, and he has several short exercise routines he can complete at home, and last week, he worked out for a total of 35 minutes by doing 2 arm routines and 1 abdominal routine while That this week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 55 minutes exercising, to determine how long does each routine last the following calculation must be performed:
2ARM + 1ABS = 35
4ARM + 1ABS = 55
4ARM + 1ABS - 2ARM - 1ABS = 55 - 35
2ARM = 20
ARM = 20/2
ARM = 10
2 x 10 + ABS = 35
ABS = 15
Therefore, the arm routine lasts 10 minutes, and the abs routine lasts 15 minutes.
Which of the following represents the range of the graph of F(x) below?
can someone help me find the value of w please :)
Answer:
w=18.27
Step-by-step explanation:
Using Trig you have opposite and hypotenuse so use SIN
Sin(66)=w/20
20Sin(66)=w
w=18.27
Which of the folowing elements represent the whole? a. percentage b. base c. rate d. both a and b
Answer:
The answer is letter D
Explanation:
Hope it helps!
Answer:
D is the right answer ✔
Explanation:
Simplify the following expression:
(3i+ 4) -i + 4(6 +2i)
A. 14+8i
B. 27 + 11i
C. 14+41i
D. 28 + 10i
9514 1404 393
Answer:
D. 28 +10i
Step-by-step explanation:
As with any "collect terms" problem, you first identify the like terms, then add their coefficients. You can start with either the real or the imaginary terms to obtain a result that will point you to the correct answer choice. Of course, the distributive property works in the usual way.
(3i+ 4) -i + 4(6 +2i) = 3i +4 -i +24 +8i . . . . eliminate parentheses
= (4 +24) +(3 -1 +8)i . . . . . . . group like terms
= 28 +10i
Alan deposited $300 in an account that pays 6% interest compounded continuously. Approximately how long will it take for Alan’s money to triple?
(Use formula A=Pe^rt where A is the accumulation amount, P is the initial amount, r is the annual rate of interest, and t is the elapsed time in years.)
Show your work for credit
9514 1404 393
Answer:
18.3 years
Step-by-step explanation:
You want ...
A/P = 3 = e^(rt) . . . for r = 0.06
Taking the natural log, this gives ...
ln(3) = 0.06t
t = ln(3)/0.06 ≈ 18.31
It will take about 18.3 years for the value to triple.
Determine the area of the figure. Note that each unit is one unit in length.
Answer:
nao sei ispoosksjjdkdddks
Answer:
54
Step-by-step explanation:
Split into 2 rectangles and 2 triangles and calculate area
AABC - DEF. What sequence of transformations will move A ABC onto A DEF? 10 8 A(0.4) B(0,0) C(3.0) -10 -8 -6 -4:1-2 6 8 10 -2D(0.2) 24 8 -10 E(0.-10) F( 6-10)
Answer:
Option B
Step-by-step explanation:
It's clear from the graph attached,
ΔABC has been dilated and shifted downwards.
Length of segment AB = 2 units
Length of segment DE = 4 units
Scale factor by which the dilation has been done = [tex]\frac{\text{Dimension of the image triangle}}{\text{Dimension of the original triangle}}[/tex]
Scale factor = [tex]\frac{DE}{AB}[/tex]
= [tex]\frac{4}{2}[/tex]
= 2
Therefore, triangle ABC is dilated by a scale factor of 2 about the origin.
Lets consider a point B(0, 0) from the given graph and analyze the transformations done.
If a point B(0, 0) is shifted to point E(0, -10) which follows the rule,
B(0, 0) → E(0 + h, 0 + k)
Here, 'h' and 'k' are the translations of the given point over x-axis and y-axis.
Therefore, (0 + h) = 0 ⇒ h = 0
0 + k = -10
k = -10
Hence, triangle ABC has been dilated by a scale factor of 2 centered at origin and followed by the translation (x, y - 10)
Option B is the correct option.
Which angles are supplementary to
∠4? Select all that apply.
∠2 ∠7
∠5 ∠6
∠1
Answer:
The supplementary angle are:
∠2
∠3
∠6
∠7
round off to the nearest two decimal places
a) 32,369
b) 99,004
Answer:
a = 32,37
b=99
Step-by-step explanation:
a = 32,369
The third decimal place is greater (or equal) than 5, so we need to add one unit to the second place.
= 32,37
b = 99,004
The third decimal place is lesser than 5, so we can simply delete it.
= 99,00
Since only zero in every decimal places are not relevant, we can remove them:
= 99
Which pair of ratios form a proportion? A. 2 : 3 and 3 : 4 B. 8 : 12 and 16 : 20 C. 4 : 7 and 12 : 21 D. 9 : 15 and 10 : 16
Answer:
C 4:7 and 12:21
Step-by-step explanation:
4×3 => 12
7×3 => 21
Which fraction is equivalent to 12/27? help
[tex]\begin{gathered}\dfrac{12}{27}=\dfrac{12:3}{27:3}=\dfrac{4}{9}\\\\\dfrac{12}{27}=\dfrac{12\cdot2}{27\cdot2}=\dfrac{24}{54}\\\\\dfrac{12}{27}=\dfrac{4}{9}=\dfrac{4\cdot2}{9\cdot2}=\dfrac{8}{18}\\\vdots\end{gathered}[/tex]
Hope This Helps YouAnswer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Fractions equivalent to [tex] \frac{12}{27} [/tex] are :-
1st Fraction :-[tex] \frac{12 \div 3}{27 \div 3} \\ = \frac{4}{9} [/tex]
2nd Fraction :-[tex] \frac{12 \times 2}{27 \times 2} \\ = \frac{24}{54} [/tex]
3rd Fraction :-[tex] \frac{12 \times 3}{27 \times 3} \\ = \frac{36}{81} [/tex]
✐ 3 fractions equivalent to [tex] \frac{12}{27} [/tex] are ⇻ [tex] \frac{4}{9} , \: \frac{24}{54} , \: \frac{36}{81} [/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Volume of Prisms and Cylinders
a. 339.12 cu. in.
b. 113.04 cu. in
c. 226.08 cu. in.
d. 1356.48 cu. in
Please select the best answer from choices provided
Answer:
A. 339.12 cu. in.
Step-by-step explanation:
I calculated it logically
What are the coordinates of the solution of these two linear equations
Answer:
(-2 -3)
Step-by-step explanation:
_____________________
Consider a random variable Z which has a standard normal distribution (mu = 0, sigma = 1). Choose which of the following values would be equivalent to the following probability:
P (Z > 0.54)
A. P(Z > 0.54.
B. P(Z < 0.54).
C. 1 - P(Z < - 0.54).
D. 1 - P(Z < 0.54).
Answer:
A. P ( Z > 0.54) = 0,7054
B. P ( Z < 0.54) = 0.2946
C.1) 1 - 0.2946 = 0.7054
D.1) 1 - 0.2946 = 0.7054
Step-by-step explanation:
A) P ( Z > 0.54) = 1 - P ( Z ≤ 0.54)
P ( Z ≤ 0.54) = 0,2946 from z-table
P ( Z > 0.54) = 1 - 0,2946
P ( Z > 0.54) = 0,7054
B) P ( Z < 0.54) = 0.2946
C) 1 - P ( Z < - 0,54)
1 - 0.2946 = 0.7054
D) 1 - P ( Z < 0,54)
1 - 0.2946 = 0.7054
Find the mean of the following data set 5,9,3,12,14,67,22,45,1,12,14
Answer:
18.5 i believe
Step-by-step explanation:
sorry if im wrong, have a great day!!
Maria has $5.00 more than José. Together they have. $37.50.
Which of these equations would you use to find the amount of money José has?
Answer:
B
Step-by-step explanation:
Maria has $5.00 more than José
Maria, M
Jose, j
M = j + $5
j + M = $37.50
j + j + $5 = $37.50
The amount of money José has is $16.25.
What is the equation?An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
Maria has $5.00 more than José.
Together they have. $37.50.
Let, the amount of money José has be x.
Based on the given conditions, formulate:
[tex]\rm 5+2\times x=37.50\\\\5+2x=37.50\\\\2x=37.50-5\\\\2x=32.50\\\\x=\dfrac{32.50}{2}\\\\x= 16.25[/tex]
Hence, the amount of money José has is $16.25.
Learn more about equation here;
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what is the area of
Answer:
7 * 9 = 63
63 for when both of the triangles are combined, 31.5 for one triangle.
Rectangle = 18 * 22 = 396
396 + 63
459 cm^2
solve for x + 24 = -12
answer in the box
x equals_______
Answer:
x = -36
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
x + 24 = -12
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 24 on both sides: x + 24 - 24 = -12 - 24[Subtraction] Simplify: x = -36What is the probability that both spinners will land on 2?
1/12. 1/6. 1/4. 1/3
Answer:
1/4 bczz its not saying about the highest its about average and the average is 1/4
Demand per hour for gasoline at a local station is normally distributed with a mean of 1510 gallons and std deviation of 57 gallons. What is the probability that demand for a particular hour is greater than 1600 gallons? Enter your answer as a decimal, rounded to 4 decimal places
Answer:
0.057168
Step-by-step explanation:
Given :
Mean = 1510
Standard deviation = 57
P(X > 1600)
To obtain the Zscore we use
(x - mean) / σ
P(Z > 1600) = P(Z > (x - mean) / σ)
P(Z > (x - mean) / σ) = P(Z > (1600 - 1510) / 57)
P(Z > 1.579) = 0.057168 (Z probability calculator)