Estimate and round the following numbers: 478,309 to the nearest thousand, 105,201 to the nearest hundred thousand, 95,550 to the nearest ten thousand, and 132,847 to the nearest thousand.
క
1-5 వరకు, మీకు సరైన పద్ధతిని ఎంచుకోండి: 1. 5,125÷27 2. 4,680÷15 3. 7,561÷29 4. 3,898÷51 5. 9,315÷18
6-8 వరకు, మిగిలిన భాగాన్ని కనుగొనండి: 6. 18,310÷45 7. 27,562÷49 8. 12,456÷36
56. Find the annual salary of the Governor of Tennessee if it's \$94,000 less than New York's \$179,000. 57. Determine the starting temperature if it dropped 21 degrees to reach -9°C. 58. If Rolling Hills Farm is 126 acres, find the total acres of Briarwood Farm, which is 4 times larger.
A car on a 1.7∘ incline has a grade resistance of 123lb. Find the car's weight in hundreds using: Grade Resistance = Weight * sin(incline). Consider other forces too.
Solve the system using Gaussian elimination and backward substitution. Find the ordered triple for x, y, z: x+2y+4z=−x+3y+4z=x+y−5z=148−20 Choose A, B, or C based on the solution type.
Order of Operations: Exercise 2
Grace Date:
Girace
Answer these questions in your notebook. Set up each question properly and show all work clearly. 1. 82−33+4×7−(6−(−2)×(−4)÷8×31−1)÷8−30÷(−6))−25 2. (−1)84÷5×5+694÷(7−16÷2)694+(−3×(−8)−24)×13÷89+6−19 3. 77×8÷77×[16+(7×2÷7×2)−16+4] 4. 98−(−77)÷(−7)+8−(6−3×4)+(6+(−2)−(−5)+3−2)(8−(−6)×3) 5. (5−9+3)(−15÷8×2÷3×4+4)(1÷8×(−8))(6×5−5)(3÷9×9−(−2))(−4) 6. 2369×125÷23×(−4)÷(−1)×2−(25×91×(−4)÷(−7)×(−3)+(−12)) 7. 1÷22÷11×121×(−6)−2(36÷(−33)×(−11)÷4)÷(7−(−2)(−5))−(−7)−5 8. −60×85÷3÷(−85)×1443÷481×(25−4×4)−(1−6)+5−7 9. 5×4×3×2×1−0÷16×27+(−17−3÷12×(−2)÷(−1)×(−2)+5)×(−7−(−5))−3(8−19+2)−(−2−1) 10. 3(9+6−9+6)−(−8)÷(−5)×(−7×(−6)−(−6)×(−4)+7)−(−1136)−1139 11. −9−(−12−16)×42÷(−8)÷(−7)−(8−10)(−3+3)÷97×563−(−13)+2×4 12. 1÷(−5)×3×10−4(12−(−6)×(−2))÷7×(−3)+3÷9×(9−3×2) 13. −8×37×(−5)×25−5×17×(−5)×4×3×5×(−2)−(−12)÷3−(−1) 14. (−2−7×5)(5−3×2)+(−5+3×(−2))×(−16)÷(−2)+(2−7)(−6+(−5)÷(−5))+(3×(−5)−2×2)(−24÷28×(−14)÷6)−(−3)×(−2) 15. (−3)3−(−2)2÷7×(−3)×14÷(−2)−(−3)×(−2−32×(−2)−6)76×(−1)181×(−2)3
Locating Fractions on a Number Line Use the drop-down menus to label the points on the number line. Point A is at □
Point B is at □
Point C is at □
Point D is at □ Intro
Oliver has a points card for a movie theater.
- He receives 65 rewards points just for signing up.
- He earns 9.5 points for each visit to the movie theater.
- He needs 141 points for a free movie ticket. Write and solve an equation which can be used to determine v, the number of visits Oliver must make to earn a free movie ticket. Answer Attempt 1 out of 2 Equation: □
Answer: v=□
The questions in the arithmetic test are each followed by four possible answers. Decide which answer is correct and then mark the space on your answer sheet that has the same number and letter as your choice. Use scratch paper for any figuring you need to do. 1. If a hexahedral die is rolled two times, what's the probability of NOT rolling a five both times?
(A) 1/36
(B) 1/6
(C) 4/36
(D) 25/36 2. Jack loaned Bob $1,500 at an annual interest rate of 7%. After one year, how much will Bob owe Jack?
(A) $105
(B) $1,500
(C) $1,605
(D) $1,507 A 2-ton truck is taxed at a rate of $0.12 per pound. How much is the total tax bill?
(A) $480
(B) $240
(C) $120
(D) $600 If ab=10, and a2+b2=30, solve for y in the equation, y=(a+b)2.
A) 40
B) 45
c) 50
) 55 5. A half-pint of cream is what part of a gallon?
(A) 1/8
(B) 1/1
(C) 1/16
(D) 1/6 6. The cost of a protein bar increased from $2.50 to $2.80. The percent increase to the $2.80 rate was how much?
(A) 16%
(B) 10%
(C) 15%
(D) 12% 7. An aircraft flies over Boondock Air Force Base at 10:20 a.m. At 10:32 a.m., the plane passes over Sea Side Naval Air Station, 120 miles away. How fast is the aircraft traveling?
(A) 400 mph
(B) 500 mph
(C) 600 mph
(D) 700 mph 8. Last year, Margot grew 50 bushels of c in her backyard. This year, the yield h increased 8%. How many bushels of c did Margot grow this year?
(A) 56
(B) 52
(C) 60
(D) 54
A person accidentally tosses their cell phone into the air while standing near the base of the CN Tower. The height h(t) of the phone (in meters above the ground) after t seconds is modelled by:
h(t)=−at2+4at+2, where a∈R What is the expression for the instantaneous rate of change of the phone's height a t=1 second?
2a
−2a+6
5
3a+2
The data shows the percentage of households (in decimals) using video streaming services from 2018 to 2022 in Canada.
\begin{tabular}{|l|c|c|c|c|c|}
\hline Year & 2018 & 2019 & 2020 & 2021 & 2022 \\
\hline \% of Households & 25 & 38 & 47 & 55 & 65 \\
\hline
\end{tabular} Estimate the instantaneous rate of change in the percent of households using video streaming services in the year 2019, using the averaging a preceding and following interval method. ANSWER INSTRUCTIONS:
- your answer should be rounded to the nearest tenth:
- do no add extra spaces
- do not add a unit of measurement
movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer
Mark is buying different nuts to make a mixed nut platter to serve at a party. He buys 1.2 kilograms of peanuts, 300 grams of almonds and 40 dekagrams of cashews. What is the total weight in grams of the nuts he purchased? Enter only the number. Do not include units.
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Use the Quadratic Formula to solve the equation x2−8x+61=0x=□ (Separate answers by a comma. Write answers as integers or reduced fractions.) If the answer is radical use sqrt(5) to denote 5 (use the correct radicand in the problem!) If the answer is complex use i to denote i.
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2) A 0.3 kg ball is tied to a 1 m piece of string and spun so that it is moving in a horizontal circle as shown below. The angle measured between the vertical dashed line and the string is 20∘. Determine angular speed of the ball and tension in the string.
[ω=3.2rads−1 and T=3.1N]
The box plot represents the number of minutes customers spend on hold when calling a company.
Number of Minutes Spent on Hold What is the upper quartile of the data?
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