Answer:
9 OR 1
Step-by-step explanation:
Let the number be x
x² - 10x = -9
x² - 10x + 9=0
a=1
b=-10
c=9
Solve using the quadratic formula
x =9 or 1
Which would be the best method to use to solve the following equation. Explain your reasoning.
Methods:
Factoring
Square root Property
Completing the Square
Quadratic Formula
x^2-x-6=0
Method:
Why:
Answer:
x = 3 and x = -2
Step-by-step explanation:
The given equation is :
[tex]x^2-x-6=0[/tex]
We need to solve the given equation.
We can solve it using Completing the Square method.
We take two numbers such that their product is -6 and sum is -1.
So,
[tex]x^2-x-6=0\\\\x^2+2x-3x-6=0\\\\x(x+2)-3(x+2)=0\\\\(x-3)(x+2)=0\\\\x=3\ and\ x=-2[/tex]
so, the values of x are 3 and -2.
Determine any data values that are missing from the table, assuming that the data represent a linear function.
x y
1 2
2 4
3
a. 7
b. 6
c. 2
d. 8
Question
Sam sells orange juice by the glass and each glass contains 250 milliliters of orange juice. Sam has 10
cartons that each contain 3.5 liters of orange juice. What is the greatest number of glasses of orange juice
that Sam can sell? (1 liter = 1,000 milliliters)
Answer:
14 glasses
Step-by-step explanation:
3.5 (liters) times 10 (cartons) = 35 (liters)
(1 liter = 1,000 milliliters)
(35 liters = 3,500 milliliters)
3,500 (liters) divided by 250 (milliliters) = 14 glasses
The greatest number of glasses of orange juice that Sam can sell will be 140 glass.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Sam sells orange juice by the glass, and each glass contains 250 milliliters of orange juice.
Sam has 10 cartons that each contain 3.5 liters of orange juice.
Then the total amount of orange juice will be
Total amount = 10 x 3.5
Total amount = 35 liters
We know that one liter is equal to 1000 milliliters.
Then the total amount of the orange juice in milliliters will be
Total amount = 35 x 1000
Total amount = 35,000 milliliters
Then the greatest number of glasses of orange juice that Sam can sell will be
Total number of glass = 35,000 / 250
Total number of glass = 140 glass
The greatest number of glasses of orange juice that Sam can sell will be 140 glass.
More about the ratio and the proportion link is given below.
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PLS HELP IlL GIVE BRAINLIEST
Find the area of the polygon. Complete the explanation to show how you found your answer.
7 cm 7 cm polygon 5 cm 9 cm
Add the area of the top rectangle, 7 ×
=
to the area of the bottom rectangle, 9 ×
=
. The area of the polygon is
?
sq cm.
A dietitian is interested in the average amount of time teenagers exercise per week. Based on previous studies, teenagers exercise an average of 6.5 hours per week. The dietitian suspects this average has increased. During the process of hypothesis testing, the dietitian calculates a test statistic of 3.30. If this test statistic is higher than the critical value, what can the dietitian do next
Answer:
The dietitian should conclude that there is no significant evidence to support the claim that the number of hours teenagers exercise per week has increased.
Step-by-step explanation:
H0 : μ = 6.5
H1 : μ > 6.5
The test statistic value = 3.30
The critical value > test statistic
The Decison region :
If; test statistic > critical value (Fail to reject H0)
If; test statistic < Critical value (Reject H0)
Given that the test statistic is > critical value ; then we fail to reject the null
Hence, the dietitian should conclude that there is no significant evidence to support the claim that the number of hours teenagers exercise per week has increased.
A class’s test scores are normally distributed if the average score 60 and the standard deviation is 7 choose the spots where the students scoring below 46 and above 74 lie
Answer:
46
Step-by-step explanation:
We are given that a class's test scores are normally distributed with an average score of 60.
We know that the curve of a normal distribution is symmetric about its mean.
60-14=46
60+14=74
Hence, the point 46 lies to the left of the mean and 74 lies to the right of the mean, and the two points have the same function value.
Answer: Look at the picture below
Step-by-step explanation: I got this right on Edmentum
Hi if you can help me that’d be great! Just show me the work/steps you took to answering the question and your explanation!
Answer:
x = 7
y = 16
upper 2 sides = 12
lower 2 sides = 19
Step-by-step explanation:
2x + 5 = x + 12
combine like terms:
x = 7
y - 4 = x + 5
y - 4 = 7 + 5
combine like terms:
y = 16
Upper sides = 7 + 5 = 12
Lower sides = 7 + 12 = 19
Cellular phone service is available for $37 per month for 1847 minutes. What is the monthly cost per minute? Round your answer to the nearest tenth of a cent.
The cost for the phone service is cents per minute.
Is square root of 11 a irrational number
Answer:
yes I think square root of 11 is irrational no....
Susan wants to buy new carpet for her living room floor the floor is the shape of a rectangle the length is 19 feet and the width is 12 feet suppose carpet cost eight dollars for each square foot how much will the carpet cost for the floor
Total square feet = length x width:
19 x 12 = 228 square feet.
Total cost = total square feet x price per square feet:
Total cost = 228 x 8 = $1,824
The expression sin(23°)cos(7°) + cos(23º)sin(7°) is equivalent to
Answer:
[tex]\sin(30)[/tex]
Step-by-step explanation:
Given
[tex]\sin(23) \cos(7) + \cos(23) \sin(7)[/tex]
Required
An equivalent expression
The above is an illustration of the sine formula which states:
[tex]\sin(A) \cos(B) + \cos(A) \sin(B) = \sin(A + B)[/tex]
In this case:
[tex]A = 23\\ B = 7[/tex]
So:
[tex]\sin(23) \cos(7) + \cos(23) \sin(7) = \sin(23 + 7)[/tex]
[tex]\sin(23) \cos(7) + \cos(23) \sin(7) = \sin(30)[/tex]
Hence, an equivalent expression is: [tex]\sin(30)[/tex]
Question 5 of 10
Which solid has a greater volume?
O A. Figure A has a greater volume.
B. Figure B has a greater volume.
22
O C. They are equal.
OD. It cannot be determined.
SUBMIT
Answer:
C. They are equal
Step-by-step explanation:
Both have the same volume 24
Both Figure have same Volume.
What is Volume?Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.
We have,
Cone:
Volume of Cone = 1/3 πr²h
= 1/3 (3.14)(3)²8
= 75.36 unit³
Cylinder:
Volume of Cylinder = πr²h
= (3.14)(2)²6
= 75.36 unit³
Thus, Both figures have Equal volume.
Learn more about Volume here:
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As a group, students majoring in engineering disciplines have the highest salary expectations, followed by those studying the computer science fields, according to the results of a study. To compare the starting salaries of college graduates majoring in electrical engineering and computer science, random samples of 60 recent college graduates in each major were selected and the following information obtained.
Engineering Major: Mean 56202 and SD 2225
Computer Science Major: Mean 50657 and SD 2375
Required:
a. Find a point estimate for the difference in the average starting salaries of college students majoring in engineering and computer science. What is the margin of error for your estimate?
b. Based upon the results in part a, do you think that there is a significant difference in the average starting salaries for engineers and computer scientists? Explain.
Answer:
Sorry that's hard I don't n know the answer
Alex's pig weighs under 220 pounds.
Let p = the weight of the pig
Answer:
p > 220
Explanation:
This inequality says, "p (the weight of the pig) is less than 220." This describes the situation shown. So, the answer is p > 220.
Good luck ^^
Find the surface area of a basketball with a diameter of 10 in.
10 in
o 100T in
o 400T in
o 25T in?
o 10T in?
Answer:
100 pi in ^2
Step-by-step explanation:
The surface area of a sphere is
SA = 4 pi r^2
We need to find the radius
r = d/2 = 10/2 =5
SA = 4 * pi * (5)^2
= 4 * pi *25
= 100 pi in ^2
Simplify (8 ÷ 24) ÷ 2
Answer:
1/6
Covert simplest
1/3÷2
1/6
I will mark you brainlist!
Answer:
C is the answer
Step-by-step explanation:
Solve this system of equations by substitution.
y = 4x
2x + y = 6
i will mark brainliest please help
A- less than -5
B- less than or equal to -5
C- Greater than -5
D- Greater than or equal to -5
if 70kg is 20% of peter's weight, then what is peter's total weight!?
can someone help me with some of my math homework?
Answer:
H
Step-by-step explanation:
Answer:
H. -5x-50
Step-by-step explanation:
just distribution property
Cushing's disease is characterized by muscular weakness due to adrenal or pituitary dysfunction. To provide effective treatment, it is important to detect childhood Cushing's disease as early as possible. Age at onset of symptoms and age at diagnosis (months) for 15 children suffering from the disease were given in an article "Treatment of Cushing's Disease in Childhood and Adolescence by Transphenoidal Microadenomectomy" (New Engl. J. of Med., 1984: 889). Here are the values of the differences between age at onset of symptoms and age at diagnosis:
-24 -12 -55 -15 -30 -60 -14 -21
-48 -12 -25 -53 -61 -69 -80
Calculate a 95% confidence interval for the population mean difference, and interpret the resulting bound.
Answer:
Since the calculated value of t =-0.427 does not fall in the critical region so we accept H0 and conclude that there is enough evidence to show that mean difference in the age of onset of symptoms and age of diagnosis is 25 months .
Step-by-step explanation:
The given data is
Difference d= -24 -12 -55 -15 -30 -60 -14 -21 -48 -12 -25 -53 -61 -69 -80
∑ d= -579
∑d²= 29871
1) Let the hypotheses be
H0: ud= 25 against the claim Ha: ud ≠25
H0 : mean difference in the age of onset of symptoms and age of diagnosis is 25 months .
Ha: mean difference in the age of onset of symptoms and age of diagnosis is not 25 months.
2) The degrees of freedom = n-1= 15-1= 14
3) The significance level is 0.05
4) The test statistic is
t= d`/sd/√n
The critical region is ║t║≤ t (0.025,14) = ±2.145
d`= ∑di/n= -579/15= -38.6
Sd= 23.178 (using calculators)
Therefore
t= d`/ sd/√n
t= -38.6/ 23.178√15
t= -1.655/3.872= -0.427
5) Since the calculated value of t =-0.427 does not fall in the critical region so we accept H0 and conclude that there is enough evidence to show that mean difference in the age of onset of symptoms and age of diagnosis is 25 months .
How do you use a number line to find 3/4 times 2/5
Answer:
First, you need to find the number 2/5 on the number line.
Now, you want to find (3/4) times (2/5)
Then the distance between 0 and the point you found earlier needs to be divided into four equal parts (because the denominator is 4)
sAnd because we have the factor (3/4), with a numerator equal to 3, we move from the origin 3 of these parts to the right, the point at where you arrived is the point (3/4)*(2/5)
Another way, which should give you the exact same point, is:
First locate the point (3/4) on the number line.
Now, you want to find (3/4) times (2/5)
The distance between zero and the denominator needs to be divided into 5 parts (because the denominator is 5)
Because the numerator is 2, you need to move, from the origin, two of these parts to the right.
The point where you end is the product (3/4)*(2/5)
Which chocolate chip cookies have the greater spread in the number of chips per cookie?
is it
Regular
OR
Reduced Fat
Answer:
Reduced fat had the greater spread.
Step-by-step explanation:
5. What is closest to the volume of the
sphere?
Answer:
The correct answer is D)
Step-by-step explanation:
To find the volume of a sphere, you need to use the formula [tex]\frac{4}{3}\pi r^3[/tex]. Since the radius of the sphere is 7.5 inches, you can use that to solve the volume. [tex]\frac{4}{3}\pi *7.5^3[/tex] = [tex]\frac{4}{3}\pi *421.875[/tex] = [tex]562.5*\pi[/tex] ≈ [tex]1767.15in^3[/tex], which is closest to [tex]1767.21in^3[/tex], so that is the correct answer.
Susan traveled 57.9 miles each day for the past 7 days. How many miles did she travel in all?
Answer:
Simply take the number of miles each day and multiply it by the number of days. 57.9 miles × 7 days = 405.3 miles
Answer: 405.3 miles
I need help what do I put in this blank what is the last number
Answer:
8 in
Step-by-step explanation:
? = a
a² + b² = c²
a² + 15² = 17²
a² + 225 = 289
a² = 289 - 225
a² = 64
[tex]\sqrt{a^2} =\sqrt{64}[/tex]
a = 8
A regular ice cream cone is 5 inches tall and has a diameter of 2.5 inches. A waffle cone is 7 inches tall and has a diameter of 3.75 inches.
(a)
Find the volume (in cubic inches) of the regular ice cream cone to the nearest tenth.
cu. in
(b)
Find the volume (in cubic inches) of the waffle cone to the nearest tenth.
cu. in
(c)
How much more ice cream (in cubic inches) fits in the waffle cone compared to the regular cone? Round your answer to the nearest tenth.
cu. in
Answer:
a 5
b49
c76
Step-by-step explanation:
Simplify the following rational expression.
(HELP PLS?)
Answer:
Simplified expression: [tex]\frac{1}{y+8 }[/tex].
The value of y that makes the expression undefined is y=-8.
Step-by-step explanation:
[tex]\frac{2y^{3}}{2y^{4}+16y^{3}}[/tex]
= [tex]\frac{2y^{3}}{2y^{3}(y+8) }[/tex]
(cancel out 2y³)
=[tex]\frac{1}{y+8 }[/tex]
A rational expression is undefined when the denominator (bottom number) is zero. So, if y equalled -8, the expression would ultimately equal [tex]\frac{1}{0}[/tex], which is undefined.
Julie used 1-centimeter cubes to make the figure below.
= 1 cubic centimeter
What is the volume of the figure?
09 cubic centimeters
12 cubic centimeters
13 cubic centimeters
17 cubic centimeters
Answer:
12
Step-by-step explanation:
4 x 3