Use the order of operations to find the value of the following expression.10^2 - 2 × (8) + 117951551595
Answers
Solution:
Given;
\(10^2-2\times(8)+11\)Using order of operitons, we would solve the bracket first;
\(2(8)=16\)Then, solve the exponents;
\(10^2=100\)Then, we have;
\(100-16+11=95\)CORRECT OPTION: 95
Related Questions
Find the area of each of the rooms.
Answers
Answer:
The green room is 12 (4x3)
The yellow room is 9 (3x3)
The red room is 12 (2x6)
Step-by-step explanation:
There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
Answers
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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Find the direction cosines and direction angles of the vector.(Give the direction angles correct to the nearest degree.)
‹2, -4, -2›
I know how to find the direction angels of the vectos. Soplease help me with the direction cosines of the vector.
Answers
The direction cosines and direction angles of the vectors will be x/r , y/r , z/r and cos⁻¹(x/r), cos⁻¹(y/r),cos⁻¹(z/r ) respectively.
The cosines of the angles that a given vector, m = xi + yj + zk, makes well with the x, y, and z axes are the direction cosines of that vector.
If a forms the direction angles (which are cosines) with the x, y, and z axes, then the direction cosines of m are cos a, cos b, and cos c in the x, y, and z axes, respectively.
Let the equation be = xi + yj + zk
vector of the equation will be = (x, y, z)
r = length of vector = √(x²+y²+z²)
The direction cosines will be x/r , y/r , z/r
angles will be cos⁻¹(x/r), cos⁻¹(y/r),cos⁻¹(z/r )
Direction cosines will be -x/r , y/r , z/r
Angles will be -
cos⁻¹(x/r), cos⁻¹(y/r),cos⁻¹(z/r )
Consider the dimensional point P. We can derive direction cosines by computing the cosine of any positive (anticlockwise) angles that a position vector makes with the positive x, y, and z-axes, respectively.
These angles are referred to as direction angles. By using direction cosines, it is easy to translate a vector's direction into angles with regard to a reference.
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I do not understand why the answer is a) for this equation: y'=2y+x. I assumed that the answer is c) or a), because numbers in the equation are positive, but I'm not sure this is the correct method here
Answers
The slope field for the differential equation would be D . Graph D .
What are slope fields ?A slope field provides a pictorial representation of differential equations that displays the magnitude and direction of the derivative or slope for solution curves at various points in the plane .
The length of line segments represents the magnitude, while the direction indicates the sign of the slope.
The equation given is y = 2 y + x which means that the slope is positive. This is why we can tell that Graph D has the correct slope field as it goes up for positive.
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Solve using Cramer's rule.
6x + 5y = 25
7x − 9y = 44
x = 7, y = −1
x = 5, y = −1
x = 5, y = −2
x = 7, y = −2
Answers
The solution to the simultaneous equations using Cramer's rule is;
x = 5, y = −1
How to use Cramer's rule to solve simultaneous equations?The simultaneous equations are;
6x + 5y = 25
7x − 9y = 44
We will first find the determinant of the left hand side;
\(\left[\begin{array}{ccc}6&&5\\7&&-9\\\end{array}\right]\)
|A| = (6 * -9) - (7 * 5)
|A| = -89
Now, will replace the x part of the matrix with the right side values to get;
\(\left[\begin{array}{ccc}25&&5\\44&&-9\\\end{array}\right]\)
The determinant is;
|A_x| = (25 * -9) - (44 * 5)
|A_x| = -445
Now, will replace the y part of the matrix with the right side values to get;
\(\left[\begin{array}{ccc}6&&25\\7&&44\\\end{array}\right]\)
The determinant is;
|A_x| = (6 * 44) - (25 * 7)
|A_x| = 89
Thus;
x = |A_x|/|A|
x = -445/-89
x = 5
y = |A_y|/|A|
y = 89/-89
y = -1
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What is a non-linear graph in math???
Answers
Answer:
It is a graph that is not a straight line - it can be described as an equation such as y =mx + c
Step-by-step explanation:
The age of undergraduate students at the U of A has a mean (µ) of 20.66 and a population standard deviation (s) of 2.4. What percentage of students are 21 or older and thus old enough to legally order alcohol at Griff's?
Answers
Using the normal distribution, it is found that 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
\(\mu = 20.66, \sigma = 2.4\)
The proportion of students that are 21 or older is one subtracted by the p-value of Z when X = 21, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{21 - 20.66}{2.4}\)
Z = 0.14
Z = 0.14 has a p-value of 0.5557.
1 - 0.5557 = 0.4443 = 44.43% of students are 21 or older and thus old enough to legally order alcohol at Griff's.
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Julia recorded the grade-level and instrument of everyone in the middle school School of Rock below. Seventh Grade Students Eighth Grade Students Instrument # of Students Instrument # of Students 9 Guitar 12 Guitar Bass Drums Keyboard 7 9 15 Bass Drums Keyboard 3 11 15 Based on these results, express the probability that a seventh grader chosen at random will play the bass as a percent to the nearest whole number.
Answers
I interpret "percent of the nearest whole number" as the percentage in %.
Then, the probability of choosing a bass player = #of bass players / # total of students in the table (of seventh grade students) = 12/35 = 34%. (in porcentage)
Remember the formula when you choose *only one student*,
P(of choosing a student of a specific kind) = #students of such kind / #total of students in the table in question.
Note: The calculator gives that 12/35 in percentage is 34.28. Rounding to the nearest whole number gives us 34 because the first decimal place (2) is less than 5.
round 8.193 to the nearest hundredth
Answers
It would be 8.2 because 9 is more than five so you round up making the 1 a 2.
Hope this helps and have a nice day/night!!!
Answer:
i looked it up and nothing is showing
Step-by-step explanation:
What scale factor was applied to the first rectangle to get the resulting image?
Enter your answer as a decimal in the box.
Bigger rectangle:6. ------>
Smaller Rectangle:1.5
Answers
Answer:
Step-by-step explanation:
In this question, it is given that, A rectangle with a short side of 6. An arrow points to a smaller rectangle with a short side of 1.5 .
The shorter side of first rectangle is of measurement 6 units and of second rectangle, is of size 1.5units .
To find the scale factor, we have to do division of the shorter sides of the first and second rectangle, that is
So the scale factor is 0.25 .
The scale factor 0.25 was applied to the first rectangle to get the resulting image
What is the scale factor?The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.
We are given that, A rectangle with a short side of 6. An arrow points to a smaller rectangle with a short side of 1.5 .
We can see that the shorter side of first rectangle is of measurement 6 units and of second rectangle, is of size 1.5units .
To determine the scale factor, we have to do division of the shorter sides of the first and second rectangle, that is
The scale factor = length of the resulting image ÷ length of the first rectangle
Length of resulting image = 7.5
Length for first rectangle = 3
Scale factor = 7.5/3 = 2.5
Hence, , the scale factor is 0.25 .
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Suppose the smoking habits of the parents are indepedent and the prob- ability that the mother is a current smoker is .4, where the probability that the father is a current smoker is .4, whereas the probability that the father a current smoker is .5. What is the probability that both the father and mother are current smokers?
Answers
The probability that both the father and mother are current smokers is 0.2 or 20%.
To find the probability that both the father and mother are current smokers, we need to find the joint probability. The joint probability is the probability of both events happening at the same time. In this case, the events are the father being a current smoker and the mother being a current smoker.
The probability that both the father and mother are current smokers can be found by multiplying the probabilities of each event.
P(father is a smoker) = 0.4
P(mother is a smoker) = 0.5
Therefore,
P(both father and mother are smokers) = P(father is a smoker) × P(mother is a smoker) = 0.4 × 0.5 = 0.2
So, the probability that both the father and mother are current smokers is 0.2 or 20%.
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help!! i added the attachment
Answers
You do 15p+58=9p+64
Plz help me well mark brainliest if you are correct!...
Answers
Answer:
=
Step-by-step explanation:
The absolute value of 17 is equal to 17.
The other answer has a really good explanation, please take a look at that
Answer:
|17| = 17
Step-by-step explanation:
The absolute value of a real number x is defined as its positive distance from 0. Therefore, the two sides are equal. |17| does indeed equal 17.
Find the x value to 3x+9=6 and 3x+9=-6
Answers
Answer:
for the first one its x=5
for the second x=−5
one its Step-by-step explanation:
Please help me with this question. I don’t understand what To do.
1. MEDICINE Explain whether the conclusion presented in the following report is valid.New Drug Helps AcneA new drug helps people who have acne breakouts. A random sample of 1,200 patients who have moderate tosevere acne was randomly split into two equal groups. One group tried the new acne medication, taking it twicedaily, once in the morning, and once in the evening. The other group was given a placebo to use in the sameway. After nine months, members of the group that tried the new drug reported 60% clearer skin than membersof the group that used the placebo.
Answers
es, in maggrowers and reads to think critically when they are provided with urveys and student, the validity of these reports should be exas reports oftentimes Remember to cosider the following : Was the survey based on a random sample. on a controlled experimant with individuals randomly assigned to a contral What was the size of been introduced in conducting the survey. Could bais have Was the study based on Can a caurse -and- effect realationship be deduced from the data. group and to atreatment group Wether the conclusion presented in the following report is valid New Beverage Leads to Weight loss The Regency weight Loss Center Wants to promote their new b which they claim will increase an individ weight loss result dramaticaly with regular use Researchers tracked. 50 of these weight loss client, each of whom ceived a free box of these beverages to tray for a 60 day. They divided The clients into tow groups those ank 8 ounces of the beverage before each meal and those who did not consume any . At the and of the 60 days, the loss of the client and found that those group
The coldest temperature
recorded in Buffalo was-39°F. This was 12°F
warmer than the coldest temperature recorded
in Chicago. Which equation can be used to find
the coldest temperature recorded in Chicago?
What is the coldest temperature recorded in
Chicago?
A. C-12-39; -51°
B. C+12=-39; -27°
C. C-12-39; -27°
D. C+12=-39; -51°
Answers
Based on the coldest temperature in Buffalo and the difference in the temperature of Chicago, the equation that can be used to find the coldest temperature in Chicago is C. C - 12 = -39; -27°
What is the temperature at its coldest in Chicago?When temperatures are warmer, it means that they are higher. This means that to find the coldest temperature in Chicago, you need to add 12°F to the temperature of Buffalo.
The formula would therefore be:
C = -39 + 12
Making the Buffalo temperature the subject gives;
C - 12 = -39
The coldest temperature in Chicago is:
= -39 + 12
= -27°F
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(ANSWERED FOR EASY POINTS:)Which products result in a difference of squares? Select three options.
(x minus y)(y minus x)
(6 minus y)(6 minus y)
(3 + x z)(negative 3 + x z)
(y squared minus x y)(y squared + x y)
(64 y squared + x squared)(negative x squared + 64 y squared)
Answers
Answer:
The three options that result in a difference of squares are:
(x minus y)(x plus y)
(6 minus y)(6 plus y)
(64 y squared + x squared)(64 y squared - x squared)
In which pair do both decimals represent rational numbers?
Answers
Answer:
A. 0.385 and 0.5555...
Step-by-step explanation:
These are rational numbers because:
0.385 is a terminating decimal, meaning it has an end.0.5555... although repeating, is consistent.classes
3. Jeff, Lorri, and Dan had a race.
In how many different ways
could they come in first, second,
and third?
Answers
Answer:
6 different ways.
Step-by-step explanation:
(1) Jeff, Lorri, Dan
(2) Jeff, Dan, Lorri
(3) Lorri, Jeff, Dan
(4) Lorri, Dan, Jeff
(5) Dan, Jeff, Lorri
(6) Dan, Lorri, Jeff
12
12
Francis Bacon and his wife purchased a condominium on the beach for $235,000.
They made a $40,000 down payment. Their annual expenses were mortgage
interest of $11,700, depreciation of 3% of the purchase price of the house, and
taxes, repairs, and insurance of $15,430. They rented the condo for $3,000 per
month. What is the annual yield?
(A) 1.52%
(C) 3.62%
(B) 2.55%
(D) 4.55%
Answers
Answer:
D) 4.55%
Step-by-step explanation:
Given:
Rented Income = $3000 per month
= $3000 * 12 = $36,000 annually
Less : - Annual expenses = $11700
Depreciation(3% OF 235000) = $7050
Tax, repairs and Insurance = 15430
Annual net income = $36,000 - ($11,700+$7,050+$15,430)
= $36,000 - $34,180
Annual net income = $1,820
To find annual yield, use the formula below:
Annual yield = (annual net income/down payment) * 100
Therefore, annual yield will be:
Annual yield \( = \frac{1,820}{40,000} * 100 \)
= 0.0455 * 100
= 4.55%
Annual yield = 4.55%
what is 5/4 divided by 10 equal
Answers
Answer:
\(\boxed{\frac{1}{8} }\)
Step-by-step explanation:
\(\frac{5}{4} / 10\)
Changing "division" into multiplication and inverting the term after it:
\(\frac{5}{4} * \frac{1}{10}\)
=> \(\frac{1*1}{4*2}\)
=> 1/8
Answer:
1/8
Step-by-step explanation:
Well to do 5/4 ÷ 10 let's set up the following.
\(\frac{5}{4} / \frac{10}{1}\)
Then we use the keep, change, and flip rule.
So keep 5/4 change the / to a * and flip the 10/1 ro a 1/10.
\(\frac{5}{4} * \frac{1}{10}\)
Now we multiply them to get,
5/40
simplified
1/8
Thus,
the answer is 1/8.
Hope this helps :)
if a farmer divides one fourth of a pound of seed equally between 5 gardens, how much seed goes into each garden?
Answers
Answer:
1/20
Step-by-step explanation:
hope it helps!
Express the number 7,980 in scientific notation.
Answers
Answer:
7.98x10^3
Step-by-step explanation:
10^3=1000
Answer:7.980 × 10^3
Step-by-step explanation:
george is going to buy a used car that is 4,500. he is going to pay 3/4 of the car and his parents are going to pay the rest. how much will his parents pay?
Answers
Answer:his parents will pay 1125
Step-by-step explanation:
Name two grouping symbols.
Answers
Answer:
parentheses ( ), brackets [ ], and braces { }—are used to group numbers or variables (letters
Step-by-step explanation:
I put three for if u need hope this helps:)
Question 4Mple Choice Worth 2 points)
Ares of Polygons and Composite Figures MC)
A composte figure is shown
024413
028.445²
1.15 in
Which of the following represents the total area of the figure?
010 663 ²
034.335 ²
4.6 in.
3h 563
P
Answers
The total area of the composite figure which has triangle and rectangle is 24.41 square inches
The given composite figure has two triangles and one rectangle
Area of rectangle =length × width
=4.6×3.15
=14.49 square inches
Area of left side triangle, it has base of 3.3 in and height 3.15 inches
Area of triangle = 1/2×3.3×3.15
=5.1975 square inches
Area of triangle on right side
Base = 3 in
Height = 6.3-3.15=3.15 in
Area of triangle = 1/2×3×3.15
=4.725 square inches
Total area = 14.49 + 5.1975 + 4.725
=24.41 square inches
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Myron records the number of chirps per minute (x) that crickets make at
different temperatures (v) in degrees Fahrenheit.
He determines that the association is linear and that the line of best fit is
y=+50.
What is the interpretation of the slope and y-intercept of this equation?
A. The slope predicts a temperature increase of about 50° for every
increase of 1 chirp per minute. The y-intercept shows that when
the crickets are not chirping (x = 0), the temperature is 0°.
B. The slope predicts a temperature increase of about 6* for every
increase of 50 chirps per minute. The y-intercept shows that when
the crickets are not chirping (x= 0), the temperature is
OC. The slope predicts a temperature increase of about for every
increase of 1 chirp per minute. The y-intercept shows that when
the crickets are not chirping (x = 0), the temperature is 50°.
D. The chirping increases as the temperature goes down.
Answers
The correct interpretation of the slope and y-intercept of the equation
y = 50 is:
A. The slope predicts a temperature increase of about 50° for every increase of 1 chirp per minute. The y-intercept shows that when the crickets are not chirping (x = 0), the temperature is 0°.
In the given equation y = 50, the slope of 50 indicates that for every increase of 1 chirp per minute (x), the temperature (y) increases by approximately 50° Fahrenheit.
The positive slope suggests a positive correlation between the number of chirps per minute and temperature.
The y-intercept of 0 in this equation represents the temperature when the crickets are not chirping (x = 0). It implies that when there are no chirps per minute, the temperature is at 0° Fahrenheit.
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what is 7 1/2 minus 3 13/16
Answers
What is (f−g)(x)? f(x)=3x5+6x2−5 g(x)=2x4+7x2−x+16
Answers
Answer: We have f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16
(f-g)(x)= 3x⁵-2x⁴-x²+x-21
Step-by-step explanation:
Here we have,
Given : f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16
We know,
(f-g)(x)= f(x)-g(x)
= (3x⁵+6x²-5 ) - ( 2x⁴+7x²-x+16)
On subtracting g(x) from f(x) we get,
(f-g)(x)= (3x⁵+6x²-5 - 2x⁴-7x²+x-16)
On simplify,
(f-g)(x) =3x⁵-2x⁴-x²+x-21
Hence,
(f-g)(x) = f(x) - g(x) = 3x⁵-2x⁴-x²+x-21
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Which of the following shows the correct solution steps and solution to 2×+ 7 = -11?
Answers
Answer:
x = - 9
Step-by-step explanation:
2x + 7 = - 11 ( subtract 7 from both sides )
2x = - 18 ( divide both sides by 2 )
x = - 9
The answer is:
x = -9
Work/explanation:
The point of equations is to find the variable's value by isolating it step-by-step.
For this equation, the variable is x.
To isolate it, I will perform a few operations.
First, I will subtract 7 from each side:
\(\sf{2x+7=-11}\)
\(\sf{2x=-11-7}\)
\(\sf{2x=-18}\)
Divide each side by 2
\(\sf{x=-9}\)
Hence, x = -9.
\(\rule{350}{4}\)