Which expression has the same value as the one below?
33 + (-10)
O Α. 43
Ο Β. 33
Ο C. 33 - 10
O D. 33 + 10
Answers
Related Questions
Given cos(O) =1/3
Find cos(2O)
Answers
Answer:
\(\displaystyle \cos 2\theta=-\frac{7}{9}\)
Step-by-step explanation:
Cosine Double Angle
Given the cosine of an angle θ, the cosine of 2θ is given by the formula:
\(\cos 2\theta=2\cos^2\theta-1\)
Given
\(\displaystyle \cos \theta=\frac{1}{3}\)
Calculate
\(\displaystyle \cos 2\theta=2\left(\frac{1}{3}\right)^2-1\)
\(\displaystyle \cos 2\theta=2\left(\frac{1}{9}\right)-1\)
\(\displaystyle \cos 2\theta=\frac{2}{9}-1=-\frac{7}{9}\)
\(\mathbf{\displaystyle \cos 2\theta=-\frac{7}{9}}\)
Use Pythagoras Theorem to determine which of the following shapes are rectangles. please awnser
Answers
Answer:
(a) - no, (b) - yesStep-by-step explanation:
Use equation and compare results:
d² = a² + b²(a)
10.15² = 8.1² + 6.3²103.0 ≠ 105.3, no(b)
15.31² = 14.4² + 5.2²234.4 = 234.4, yes#a
\(\\ \sf\longmapsto H^2=P^2+B^2\)
\(\\ \sf\longmapsto (10.15)^2=(8.1)^2+(6.3)^2\)
\(\\ \sf\longmapsto 103=65.61+39.69\)
\(\\ \sf\longmapsto 103\neq 105.3\)
No
#b
\(\\ \sf\longmapsto H^2=P^2+B^2\)
\(\\ \sf\longmapsto (15.31)^2=(14.4)^2+(5.2)^2\)
\(\\ \sf\longmapsto 234.4=207.3+27.1\)
\(\\ \sf\longmapsto 234.4\neq 234.4\)
Yes
Archimedes went to sleep beside a big rock. He wanted to get up at 7 77 AM, but the alarm clock was yet to be invented! He decided to sleep at the spot where the rock's shadow should end when it's 7 77 AM so as to be awakened by the direct sunlight. Archimedes knew that at 7 77 AM, the sunlight reaches the ground at an angle of 3 1 ∘ 31 ∘ 31, degrees. The rock beside which he slept was 5 55 meters tall. How far from the rock did Archimedes go to sleep? Round your final answer to the nearest hundredth.
Answers
Archimedes went to sleep about 9.24 meters away from the rock where its shadow should end when it was 7 AM.
Trigonometric ratios:Trigonometric ratios are ratios of the sides of a right triangle to its angles. The three primary trigonometric ratios are
Sine = opposite/hypotenuse.
Cosine = adjacent/hypotenuse.
Tangent = opposite/adjacent.
Here we have
Archimedes wanted to get up at 7. AM, but the alarm clock was yet to be invented. Archimedes knew that at 7.AM, the sunlight reaches the ground at an angle of 31°.
The rock beside which he slept was 5.55 meters tall.
Let's assume that the distance from the rock where Archimedes went to sleep is "x".
Form a right triangle where the height of the triangle is the height of the rock (5.55 meters) and the angle between the ground and the sunlight at 7 AM is 31° and the opposite side to that angle is x.
Using trigonometry, we can solve for x as follows
tan(31°) = 5.55 / x
x = 5.55 / tan(31°)
x = 5.55/0.60086
x = 9.24 meters
Therefore,
Archimedes went to sleep about 9.24 meters away from the rock where its shadow should end when it was 7 AM.
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can someone help me with this??
Answers
Do you want to buy the 101 disc CD charger for 108 and also the digital camera for 364 if the sales tax is 6.5 what is your after-tax total
Answers
Answer: 441.32 currency units
Step-by-step explanation:
The CD changer costs 108 currency units and the Camera costs 364 currency units.
First add these up to find out the total price:
= 108 + 364
= 472 currency units
The sales tax is 6.5% and this needs to be deducted from the total to get the after-tax total:
= 472 * ( 1 - 6.5%)
= 441.32 currency units
Find the least common denominator of 1/6 and 2/7
Answers
Answer:
it is it is 42
Step-by-step explanation:
7/42+12/42=19/42
The definition of similarity in terms of similarity transformations states that two figures are
similar if and only if there is a compositon of rigid motion and dilation that maps one figure to
the other. Suppose triangle ABC~triangle DEF. Explain how this definiton ensures:
1. The equality of all corresponding pairs of angles.
2. The proportionality of all corresponding pairs of sides.
PLEASE HELP
Answers
which best describes how to solve the equations below 35x=88
Answers
Help with the following equation 8x²-6x-5=x
Answers
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
P(7, - 2); y= 7x+4= 4
PLEASE HELP
Answers
Answer:
x= - 16
Step-by-step explanation:
substitute y=0 then multuply both sides move the variable to the left and change the sign.
Multiply the following numbers. Reduce the answer to the lowest terms. 3 1/8 times 1/7 please hurry!
Answers
Answer:
25/56
Step-by-step explanation:
make 3 1/8 an improper fraction then u should get 25/8 and then multiply the numerator of 1/7 by 25 and then multiply the denominators of the two fractions to get 7*8=56 so your fraction is 25/56
Answer:
25/56
Step-by-step explanation:
3 1/8 = 25/8 and 25/8 x 1/7 = 25/56
The type of experimental design where the assignment of experimental units to treatment and control groups is random is called a(n) __________.
Answers
The type of experimental design where the assignment of Experimental units to treatment and control groups is random is called a randomized controlled trial (RCT).
The type of experimental design where the assignment of experimental units to treatment and control groups is random is called a randomized controlled trial (RCT).
Randomized controlled trials are widely used in various fields of research, including medicine, psychology, and social sciences. They are considered the gold standard for evaluating the effectiveness of interventions or treatments. The key feature of an RCT is the random assignment of participants or experimental units to either the treatment group or the control group.
Randomization helps to ensure that the treatment and control groups are similar in terms of both observed and unobserved characteristics, reducing the potential for bias and confounding variables. By randomly assigning participants, researchers can make causal inferences about the effects of the treatment, as any observed differences between the groups can be attributed to the intervention.
In an RCT, experimental units can be individuals, groups, organizations, or any other defined units depending on the research context. The random assignment process involves using a randomization procedure, such as coin flipping, random number tables, or computer-generated randomization, to assign participants to the treatment and control groups.
By comparing the outcomes or responses of the treatment and control groups, researchers can determine the effectiveness or impact of the intervention being studied. Statistical techniques, such as hypothesis testing and analysis of variance, are commonly used to analyze the data collected from the RCT and draw conclusions.
a randomized controlled trial is the type of experimental design where the assignment of experimental units to treatment and control groups is random. It is a rigorous approach to evaluating the effects of interventions and minimizing biases, providing robust evidence for decision-making and policy development.
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1.67 x10^-24 divided 2.66 x 10^-23
Answers
(1.67 x 10⁻²⁴) / (2.66 x 10⁻²³) = (1.67 x 10⁻²⁴) / ((2.66 x 10¹) x 10⁻²⁴)
The factors of 10⁻²⁴ cancel, and 2.66 x 10 = 26.6, leaving us with
(1.67 x 10⁻²⁴) / (2.66 x 10⁻²³) = 1.67 / 26.6 ≈ 0.0628
Convert this to scientific notation:
0.0628 = 6.28 x 10⁻²
8x-(14x - 12) = 48 - 6x
Answers
8x-1(14x-12)=48-6x
Distribute the -1
8x-14x+12=48-6x
combine like terms
-6x+12=48-6x
-6x and -6x cancel out
12=/=48
12 doesn't equal 48 so it's no solution, hope this helps!
Geoff works at a warehouse , earning $17.50 per hour plus a $200 what’s the equation?
Answers
Answer:
P = 17.50x + 200
Step-by-step explanation:
x is the number of hours worked
P is how much money Geoff earns
Find the area of this triangle
Answers
Answer:
50.32
Step-by-step explanation:
A bag of 100 hard candies included 30 butterscotch, 40 peppermint, 15 strawberry, 10 orange, and 5 banana. The probability that the first candy pulled out of the bag will be butterscotch or strawberry is .45
a) true
b) false
Answers
Answer:
true
Step-by-step explanation:
there is 100 candies. That means we can easily turn the amount of each type of candy into a percent. there was 30 butterscotch which means that is 30 percent. There was 15 strawberry which means that is 15 percent. add that and you get 45. This is a shortcut and i advise you use the way your teacher taught you.
\(|\Omega|=100\\|A|=30+15=45\\\\P(A)=\dfrac{45}{100}=0.45\)
So TRUE
plssssssssssssssssssssssssssss help math
Answers
Answer:
b
Step-by-step explanation:
Michael went to the grocery store and bought bottles of soda and bottles of juice.
Each bottle of soda has 40 grams of sugar and each bottle of juice has 20 grams of
sugar. Michael purchased a total of 11 bottles of juice and soda which collectively
contain 300 grams of sugar. Write a system of equations that could be used to
determine the number of bottles of soda purchased and the number of bottles of juice
purchased. Define the variables that you use to write the system.
Answers
Answer:
2+2929?
Step-by-step explanation:
answer= 2 + 29 = 31, then multiply it by 1= then, you still have it, then add another 29, then theres ur answer
techwiz Electronics makes a profit of $35 for each MP3 players sold and $18 for each DVD player sold. Last week, techwiz so the combined total of 128 MP3 and DVD players let X be the number of MP3 players techwiz sold last week write an expression of the combined total profit in dollars Tech whiz made from MP3 and DVD player
Answers
Answer:
128 = 35x + 18y
Step-by-step explanation:
total = 35(MP3) + 18(DVD)
128 = 35x + 18y
Abby is filling a 100 quart dog bath using a 2 gallon bucket. how many buckets will it take to fill the dog bath?
Answers
( or 12.5 buckets)
Step by step
We know the bath holds 100 quarts
We know 100 quarts is equal to 25 gallons
( 4qts to 1 gallon)
If Abby is using a 2 gallon bucket, divide 25 gallons by 2
25/2 = 12 1/2 buckets to fill the bath
PMDAS
1. 24 + 8 + (9 x2) x 4 + 7
Answers
Answer:
\(\huge\boxed{\sf 111}\)
Step-by-step explanation:
= 24 + 8 + (9 x 2) x 4 + 7
Parenthesis
= 24 + 8 + 18 x 4 + 7
Multiplication
= 24 + 8 + 72 + 7
Addition
= 32 + 72 + 7
= 104 + 7
= 111
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Peace!because:
24 + 8 + (18) x 4 + 7
= 24 + 8 + 72 + 7
= 111
Solve the proportion.
w 100
88
3
a.
1
b. 9
A
B
C. 8
d.
Please select the best answer from the choices provided
OD
000
Answers
C. 8
8/3 = g/3
, x3 both side
8/3 x 3 = g
8/3 x 3/1 = g
24/ 3 = g
8 = g
Hope this helps!
How many solutions are there to the equation below?
8x + 47 = 8(x+5)
Α. Ο
B. 1
C. Infinitely many
Answers
Answer:
A. No solution/0
Step-by-step explanation:
Step 1: Distribute
8x + 47 = 8x + 40
These 2 equations have the same slope but different y-intercepts. This means that the 2 lines are parallel. There will be no solution to this problem.
Jack, Martina, and Napier are racing their bikes. Each has an equal chance of winning the race. Drag the appropriate answers from the choices given to represent the probability that Jack wins the race, and Martina finishes last.
Answers
The probability that Jack wins the race, and Martina finishes last, is 1/9.
What is probability?The study of random events or phenomena falls under the category of probability, which is a branch of mathematics. It is concerned with calculating the probability or likelihood of an event happening. A number between 0 and 1, where 0 denotes an improbable event and 1 denotes a certain event, is used to express the likelihood of an event. An occurrence is more likely to occur the higher its probability. Several disciplines, including statistics, physics, economics, and engineering, employ probability theory to study and forecast unpredictable events.
As there are three equally plausible outcomes and only one of them corresponds to Jack winning, the likelihood that Jack will win the race is 1/3.
As there are three equally possible outcomes and only one of them corresponds to Martina placing last, the likelihood that she does so is also 1/3.
P(Jack wins and Martina finishes last) = P(Jack wins) x P(Martina finishes last) = (1/3) x (1/3) = 1/9
Hence, the probability that Jack wins the race and Martina finishes last is 1/9.
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The complete question is:
2(x+8)=2x-8 true or false
Answers
The answer will be false
Because 2 multiply by 8 equal 16
2x+16 not equal to 2x-8
Jane evaluates x2-3x+5 for x=-2 below.
Step 1: (-2)²-3(-2)+5
Step 2: -4+6+5
=
Step 3: = 7
What, if any, was Jane's mistake?
Jane made no mistakes.
O Jane incorrectly evaluated (-2)² in step 2.
Jane incorrectly added the terms in step 3.
O Jane incorrectly substituted in x=-2 in step 1.
K
Answers
Answer: Jane incorrectly evaluated (-2)² in step 2.
Step-by-step explanation:
\((-2)^{2}=4\), not -4.
The IQ scores and science test scores of fourth grade students is given by the line of best fit ŷ = −20.3 + 0.7489s, where ŷ is the predicted science score and s is the IQ score. An actual science test score for a student is 52.6 with an IQ of 100.
Find and interpret the residual.
−1.99; The line of best fit underpredicts the student's science test score.
1.99; The line of best fit overpredicts the student's science test score.
1.99; The line of best fit underpredicts the student's science test score.
−1.99; The line of best fit overpredicts the student's science test score.
Answers
-19.99; The line of best fit underpredicts the student's science test score.
So correct option is A.
What do you mean by prediction?A prediction is an estimation or forecast about future events or conditions, based on past data and trends, current information, and/or mathematical models. Predictions can be made in various fields, such as finance, weather, sports, social sciences, and natural sciences. The accuracy of predictions depends on many factors, including the quality of the data used, the assumptions made, the complexity of the system being analyzed, and the reliability of the methods used. Predictions are not always accurate and are often subject to revision as new information becomes available.
The predicted science score for the student with IQ 100 can be calculated using the line of best fit:
ŷ = −20.3 + 0.7489 * 100 = 71.59
The residual is the difference between the actual science test score and the predicted science score:
residual = actual score - predicted score = 52.6 - 71.59 = -19.99
So the line of best fit underpredicts the student's science test score by 19.99 points.
Therefore, the residual is:
-19.99; The line of best fit underpredicts the student's science test score.
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An art teacher buys 4 packs of oil paints. Each pack contains 18 tubes of paint. Which equations represent the total
number of tubes of paint the teacher bought? Check all that apply.
4x 18 = 72
18 + 18 + 18 + 18 = 72
22-4 = 18
18 + 4 = 22
72 - 18 = 4
I’m
Answers
Answer: it’s answer 18+18+18+18
Step-by-step explanation:it’s basically18 times 4
Answer:
4 × 18 = 72
18 + 18 + 18 + 18 = 72
72 ÷ 18 = 4
Step-by-step explanation:
tell what place the digit is in for the following number 14,632.708
4
0
7
Answers
Hundredths
Tenths
Answer:
4 is in the one thousands place. The 0 is in the hundredths place. The 7 is in the tenths place.