Answer:
Step 2
Step-by-step explanation:
Meredith made a fatal mistake or error in step 2;
Any quadratic problem will always have two solutions. Therefore since, we only have one solution here, it is wrong. The mistake was incurred in step 2;
From the given problem ;
Wrong right
2(x + 4)² = 242
(x + 4)² = 121 Step 1
x+4=11 Step 2 x + 4 = ± 11
x = 7 Step 3 x + 4 = 11 or x + 4 = -11
x = 11- 4 or x = -11 - 4
x = 7 or -15
Answer:
Step 2
Step-by-step explanation:
5/8 divided by 1 1/3 in lowest form
HOPE THIS WILL HELP U...
Answer:
15/32
Step-by-step explanation:
5/8/1 1/3
Which can also be written as 5/8÷ 1 1/3
So let's solve
5/8÷4/3
So remember that the division will change to multiplication and 4/3 will also change to 3/4
5/8×3/4
15/32
This is the lowest form it can be since the two are not divisible by the same number
So the final answer is 15/32
William is riding on a bike trail that circles the city's park. If the park has a radius of 110 yards, how long is the trail?
Answer:
220π or 690.8 yds
Step-by-step explanation:
The length of a trail is 690.8 yards
How to determine the length of the trailThe radius of the park is given as:
r = 110 yards
The length of the trail is the circumference of the park.
The circumference is calculated as:
[tex]C = 2\pi r[/tex]
So, we have:
[tex]C = 2 * 3.14 * 110[/tex]
Evaluate
[tex]C =690.8[/tex]
Hence, the length of a trail is 690.8 yards
Read more about circumference at:
https://brainly.com/question/15673093
2. Apple Strudle muffins
Makes 12 muffins
You are having 14 people for brunch and each person will eat 2 muffins. How
many muffins do you need? _ Adjust the recipe
I really need a answer right now, I have no idea how to do this please help
Answer:
Since there are 14 people who will eat 2 muffins each, you will need to make 28 muffins. To get this many muffins you will have to multiply the recipe by 2 1/3. Multiply each ingredient by 2 1/3 to make enough muffins
Step-by-step explanation:
. Every week, 2,492 new patients are admitted to a hospital. In a year, about , ANS;
patients are admitted to this hospital.
a. 100,950 b. 1256,000 c. 140,000
Answer:
130, 000
Step-by-step explanation:
A year has 52 weeks
Weekly admissions are 2492 patients
To get annual number of patients admitted, we get the product of weekly admissions and the number of weeks in a year.
Therefore, for 1 year, the number of patients admitted will be
52*2492=129584 patients. Rounded off to the nearest thousands will be 130, 000 patients
Answer:
c 140,000
Step-by-step explanation:
One year = roughly 52 weeks
52 × 2492
129,584
Closest option is 140,000
Find the missing angle measure of each triangle.
Answer:
PLEASE MARK AS BRAINLIEST I NEED THEM TO MOVE UP A RANK PLZ
Step-by-step explanation:
1. 57+52=109 angle in a triangle is 180 degrees so 180-109=71
you answer is 71
2. 58+90=148 take away 180 =32
your answer is 32
3. 36+26=62 180-62=18
your answer is 19
4. 38+25=63 180-63=17
you answer is 17
Answer:
1.71°
2. 32°
3. 118°
4. 117°
Step-by-step explanation:
Here we use angle sum property of a triangle the sum of all the angles of a triangle is 180° always and for solving these questions this method is used
1. 57° + 52° + x = 180°
109°+ x =180°
x= 180° - 109°
x = 71°
And similarly we done in all the other questions
The table shows the number of apples and oranges sold at a grocery store over a 6 day period. Which statement is TRUE?
A) The range of oranges is 43 more than the range of apples.
B) The range of apples is 43 more than the range of oranges.
C) The range of oranges is 76 more than the range of apples.
Eliminate
D) The range of apples is 76 more than the range of oranges
Answer:
B) The range of apples is 43 more than the range of oranges.
Step-by-step explanation:
The range of Apples:
172 - 98 = 74
The range of Oranges:
96 - 65 = 31
The range of Apples is more than of Oranges in 43 Apples.
The range of apples is 43 more than the range of oranges.
What is Range of data?The mean represents the sum of all the numbers. In an ordered list, the middle number is the median. The most frequent number is the mode. The highest number less the smallest number is the range.
By deducting the lowest value from the greatest value, the range is computed.
Given:
From the given data
Range for Apples
= Highest - lowest
= 172 - 98
= 74
and, Range for Oranges
= Highest - lowest
= 96 - 65
= 31
Thus, the range of apples is 43 more than the range of oranges.
Learn more about Range of data here:
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#SPJ7
Solve x2 = 121. (25 points)
Answer: 11
Step-by-step explanation:
[tex]x^{2}[/tex] = 121
x = [tex]\sqrt{121}[/tex]
x = 11
Answer: 11
Step-by-step explanation:
(5 organisms that live in your house. Identify them and tell me how they interact within the environment and with each other.
List five living things in your house (people, animals, plants) and how they interact.
Example: Me, mom, dad, plant, dog. Me and my mom talk and I help her. Same with me and my dad. They both help me. All three of us water and take care of the plant. We play with the dog, feed him, and walk him. The dog sometimes plays with the leaves on the plant.
(I hope this gives you an idea)
Please factor b^2+36=0
Answer:
b=-√-36
b=+√36
Step-by-step explanation:
b^2+36=0
Substrate 36 from both sides
b^2=-36
Square root both sides
b=+or -√-36
So b=+√-36
Or b=-√-36
The quadratic equation [tex]b^2[/tex] + 36 = 0 does not factor into real numbers due to the presence of a negative constant, but it factors over the complex numbers as (b + 6i)(b - 6i).
The equation [tex]b^2[/tex] + 36 = 0 is a quadratic equation of the form a[tex]x^2[/tex] + bx + c = 0, where a is 1, b is 0, and c is 36. To factor this equation, we first need to move 36 to the other side to set the equation to zero, resulting in [tex]b^2[/tex] = -36. This equation does not factor into real numbers because the square of a real number cannot be negative.
However, we can factor it over the complex numbers as (b + 6i)(b - 6i) = 0 where i is the imaginary unit.
Question 7 (5 points)
A class of 24 students went on a picnic. They had a choice between having a turkey
sandwich or a vegetarian sandwich. Eighteen students selected turkey, and the rest
selected vegetarian. Write a ratio to compare the number of turkey sandwiches to the number of vegetarian sandwiches.
1:3
3:1
4:1
4:3
Answer:
B, 3:1
Step-by-step explanation:
18:6 is 3:1 if you divide both sides by 6
Final answer:
The correct ratio to compare the number of turkey sandwiches to vegetarian sandwiches is 3:1, with 18 students selecting turkey and 6 students selecting vegetarian sandwiches.
Explanation:
The correct ratio to compare the number of turkey sandwiches to the number of vegetarian sandwiches is 3:1.
First, determine that 18 students chose turkey sandwiches, which leaves 6 students choosing vegetarian sandwiches (24 total students - 18 turkey sandwiches).Next, calculate the ratio by dividing the number of turkey sandwiches by the number of vegetarian sandwiches, resulting in 18/6 = 3.Therefore, the ratio of turkey sandwiches to vegetarian sandwiches is 3:1.Sofia deposited $6400 into her savings account for a period of six years. How much
simple interest did her money earn at an interest rate of 1.5%?
Answer:$576
Step-by-step explanation:
To find the simple interest on$6400 on 6yr at 1.5%
Simple interest=prt/100
I=6400×1.5×6/100
I=$576
What is the answer please help me because I have to pass my test date
Answer: The Answer is C.
Step-by-step explanation:
6/2+5
=3+5
=8
A rectangular prism has a volume of 600 cubic inches.
If the height of the prism is 5 inches and the width is 10 inches,
what is the length of the prism? Enter your answer in the box.
Answer:
The length is 12 inches.
Step-by-step explanation:
The volume of a rectangular prism is given by:
V=LBH
It was given that; the rectangular prism has a volume of 600 cubic inches.
The height of the prism is 5 inches and the width is 10 inches.
We want to find the length of the rectangular prism.
We substitute V=600, H=5,and W=10 into the formula:
600=5×10×L
600=20L
[tex] L = \frac{600}{50} [/tex]
[tex]L = 12in[/tex]
The length of the rectangular prism is 12 inches.
To find the length of a rectangular prism, we can use the formula for volume:
Volume = Length × Width × Height
We know the volume is 600 cubic inches, the height is 5 inches, and the width is 10 inches. We can rearrange the formula to solve for the length:
Length = Volume / (Width × Height)
Substitute the known values into the equation:
Length = 600 / (10 × 5)
Length = 600 / 50
Length = 12 inches
Therefore, the length of the rectangular prism is 12 inches.
Nolan drove 234 miles in 4 hours. On average, how fast did he drive in miles per
hour? Express your answer in simplest form.
Answer:
58.5 MilesStep-by-step explanation:
234 m = 4 hrs
Divide the total amount of miles to hours
234/4 = 58.5
58.5 m = 1 hr
I hope this helped you!
Answer:
12
Step-by-step explanation:
Four sizes of scaled text are shown. Four rows of text and numbers. The first row contains a question mark followed by the phrase Website text size. The next row contains the number one followed by the phrase Website text size, but smaller than the previous row. The third row contains the number zero point nine three seven followed by the phrase Website text size, but smaller than the previous row. The fourth row contains the number zero point eight seven eight followed by the phrase Website text size, but smaller than the previous row. What is the unknown scale size? Enter your answer as a decimal in the box. Round only your final answer to the nearest thousandth.
Answer:
1.067 would be the answer your looking for in this question.
The unknown scale size is approximately 0.878.
Explanation:The unknown scale size can be determined by comparing the sizes of the text in each row. We can observe that each row represents a smaller size than the previous row. The first row has a text size of 1, the second row has a smaller text size, the third row has an even smaller text size, and the fourth row has the smallest text size. Therefore, the unknown scale size is between 0.878 and 0.937.
To find the exact scale size, we can estimate the last decimal place. Since the space between the third and fourth small tick marks is divided into ten equal parts, we can estimate the hundredths place to be 3. Therefore, the unknown scale size is approximately 0.878.
A race begins with 2 1/2 miles through town, continues through the park for 2 1/3 miles, and finishes at the track after the last 1/6 mile. A volunteer is stationed every quarter mile and at the finish line to pass out cups of water and cheer on the runners. How many volunteers are needed?
Answer:
You would need 20 volunteers
Step-by-step explanation:
If you make all of the fractions have a denominator of 6 then they would all add up to 1 which would be 2+2+1 which is 5 miles. Then you multiply 5 by 4 (for ever quarter mile) and it equals 20
Answer:20 I think
Step-by-step explanation:
So you add all the miles up 2 1/2 + 2 1/3 + 1/6 = 5 miles
A volunteer is stationed every quarter (1/4)
1 mile divided into 1/4 is 4
So 5 times 4 is 20
Write the missing base.
1/9=()^2
Answer: The blank is 1/3
Step-by-step explanation: 1 squared is just 1 and 3 squared is 9. 3 squared is equal to 3 times 3. So 1/3 squared is going to be 1/9. Hope this helps!
ANSWER FAST!!! Craig's family compared cell phone plans to get the best deal. At A-Mobile, the family plan is $39 for the
first two lines and $9 for each additional line. At B-Mobile, the family plan is $29 for the first two lines and $15
for each additional line. Craig's family needs to purchase 5 cell phone lines. Which family plan should
Craig's family go with? (Step by step ex. pls too)
What’s the length of the arc for a circle with a radius of 6 and a central angle of 48 degrees
Answer:
5.02655 units
Step-by-step explanation:
A circle consists of 360 degrees. Thus, 48 degrees is 48/360 of a circle. This relationship transfers to the arc length. The arc length with a central angle of 48 degrees is 48/360 of the entire circle's circumference. Thus:
[tex]Arc(Length) = \frac{48}{360}* 6*2*\pi = 5.02655[/tex]
6. Given the function
y=f(x), describe the
transformations and
sketch the following
function;
g(x)=2f(1/2 (x-1) )-7
Answer:
See below.
Step-by-step explanation:
The x - 1 will move whole graph 1 unit to the right.
The 1/2 will stretch it horizontally by a factor 2.
The 2 will stretch it vertically by a factor 2.
The -7 translates it 7 units down.
What is the surface area of the cone? Express your answer in terms of π.b
Given:
Radius of the cone = 5 ft
Slant height of the cone = 21 ft
To find:
The surface area of the cone
Solution:
Surface area of cone formula:
[tex]SA=\pi r^{2}+\pi r l[/tex]
where r is the radius and l is the slant height.
[tex]SA=\pi \times 5^{2}+\pi \times 5 \times 21[/tex]
[tex]SA=\pi \times 25+\pi \times 105[/tex]
[tex]SA=25 \pi+ 105 \pi[/tex]
[tex]SA=130 \pi[/tex]
The surface area of the cone is 130π square feet.
The total surface area of the cone is 130π square feet.
How to Calculate the Surface Area of a Cone
The surface area of a cone can be calculated using two main components: the base and the lateral (side) surface. If the radius of the base is r and the slant height is l, the formulas for these areas become essential.
The area of the base is found using the formula for the area of a circle: πr².The lateral surface area is calculated using: πrl, where l is the slant height.Therefore, the total surface area A of the cone is:
A = πr² + πrl
Calculate the surface area using the given values:
A =
WHAT IS X/10 /6/8/9X IT IS HARD SO HERE
Answer:
4/135
Step-by-step explanation:
X/10/6/8/9x
So let's solve
The question can also be written as
X/10×8/6×1/9x
Divide by 2 first
X/5 ×4/3×1/9x
4x/135x
Divide both by x
4/135
Which graph represents a linear function?
Answer:
a
Step-by-step explanation:
its a line
Answer:
A
Step-by-step explanation:
because it shows the line
For each of the following data sets, use your calculator to help find the interquartile range and the
population standard deviation. Show your calculation for the IQR. Round all non-integer values to the
nearest tenth.
(a) 4, 6, 8, 10, 15, 19.22, 25
(b) 3.3,4,5,5,6,6,7,7,8
Answer:
(PART A)
Range: 21
(IQR) Interquartile range: 3.22
(PART B)
Range: 4.7
(IQR) Interquartile range: 2.5
Step-by-step explanation:
For (A):
4, 6, 8, 10, 15, 9.22, 25
Median: 10
Lower Quartile(Q1): 6
Upper Quartile(Q2): 9.22
(IQR) Interquartile range: 9.22 - 6 = 3.22
Range: 25 - 4 = 21
For (B):
3.3, 4, 5, 5, 6, 6, 7, 7, 8
Median: 6
Lower Quartile (Q1): 4.5
Upper Quartile (Q2): 7
(IQR) Interquartile range: 7 - 4.5 = 2.5
Range: 8 - 3.3 = 4.7
~phew! this took me long to type, anyway hope this helps you~
-please mark me the brainliest, I would highly appreciate it-
Slingerland Ski Resort offers two Winter Specials. The "Get-Away" and the "Extended-Stay."
Slingerland Ski Resort claims that "Extended-Stay" is a better deal than the "Get-Away." The Get-Away Special
offers two nights of lodging and four meals for $270. The Extended-Stay Special offers three nights of lodging and
eight meals for $435.
Write an equation in Standard Form that represents the Get-Away Special. Let n represent the cost for a night of
lodging and let m represent the cost for a meal.
Answer:
The equation is:
2n +4m = 2.7 × 10^2
Step-by-step explanation:
Please see the attached file for explanation
what is the vertex of g(x)=1/3(x-3)2
Question in the picture:)
Given:
Set A represents rational numbers.
Set B represents integers.
Set C represents whole numbers.
To find:
Which of the value represents a value that could be placed in set C.
Solution:
Rational number is ratio of two numbers which of the form [tex]\frac{p}{q}, \ q\neq0[/tex].
Integer is a set of positive and negative numbers including zero.
Integers: {..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ...}
Whole numbers are positive numbers with zero.
Whole numbers: {0, 1, 2, 3, 4, ...}
Option A: -10
-10 is a integer. So that, it is placed in set B not in set C.
Therefore, it is not true.
Option B: 2.5
2.5 can be written as [tex]\frac{5}{2}[/tex]. It is a rational number.
Rational number placed in set A.
Therefore, it is not true.
Option C: [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] is a rational number.
Rational number placed in set A.
Therefore, it is not true.
Option D: [tex]\frac{12}{4}[/tex]
[tex]$\frac{12}{4}=3[/tex] (cancelling common factors)
3 is a whole number.
Whole numbers placed in set C.
Therefore, it is true.
Hence [tex]\frac{12}{4}[/tex] is the value that could be placed in set C.
A marble was dropped into a graduated cylinder holding a volume of 20 mL. The water level increased to 35 mL. The mass of the marble is 37.8 grams. What is the density of the marble?
Answer:
2.52 g/ml
Step-by-step explanation:
Density is defined as the mass per unit volume of a substance. Therefore,
density, d=m/v
Where d denote density, m for mass and v for volume.
The volume of marble is given by getting the difference in the reading of graduated cylinder. Since the initial reading was 20 ml and final reading 35 ml, rhen the volume is 35-20=15 ml
The mass is given as 37.8 grams.
Density is therefore 37.8 g/15ml=2.52 g/ml
Density of marble is 2.52 g/ml
Final answer:
The density of the marble is calculated by dividing its mass (37.8 grams) by its volume (15 mL), leading to a density of 2.52 g/mL.
Explanation:
The density of an object can be found by dividing its mass by its volume. In this case, the mass of the marble is 37.8 grams, and when dropped into a graduated cylinder, the water level rose from 20 mL to 35 mL. The change in water level represents the volume of the marble, which is 15 mL (35 mL - 20 mL).
To find the density, perform the following calculation: density = mass/volume. Thus, the density of the marble = 37.8 grams / 15 mL = 2.52 g/mL.
The Sum of The Angles in a Triangle please dont answer yet have to add attachemnt
Answer:
<POM=110°
I hope that's what you're looking for
Answer:
Can I have branliest please!
The measurement is 110 degrees
Step-by-step explanation:
To find there are two ways to get it
There is a rule that states to find one of the exterior angles you have to add the other two angles that are not supplementary to the exterior one.
So, you can add 40 + 70 to get 110 degrees
OR
You can find the missing angle in the triangle to get 70
Angle MON and Angle MOP are supplementary
so you can subtract 70 from 180 to get 110
Hope this helps!
Ethan went to physical education class 72 times this year. He spent 3/4 of this classes outside. How many of Ethan's physical education classes this year were held outside? 2 points Your answer
Answer:54
Step-by-step explanation:
72 classes in one year
75% spent outside
72x0.75=54