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The fruit basket contains \( \mathbf{x} \) apples. The basket contain 5 times as many strawberries as apples. Write an equation that represents the total number of strawberries, \( y \), in the fruit basket.

aceleración del bloque a lo largo del plano sea de \( 3 \mathrm{~m} / \mathrm{s}^{2} \). 129.6 N 15. Si el coeficiente de fricción entre el bloque y el plano inclinado es de 0.28 , cuál será la fuerza total que se necesita aplicar al bloque para que suba con la aceleración de \( 3 \mathrm{~m} / \mathrm{s}^{2} \). R. 182.22 N \( \begin{array}{l}\text { 16. Un cuerpo de } 12 \mathrm{~kg} \text { es acelerado a un ritmo de } 1.8 \mathrm{~m} / \mathrm{s}^{2} \text {, calcular la magnitud de la fuerza que acelera } \\ \text { cuerpo. } \quad \text { R. } 21.6 \mathrm{~N} \\ \text { 17. Sobre una masa de } 50 \mathrm{~kg} \text { actúa una fuerza de } 200 \mathrm{~N} \text { ¿Qué aceleración se proporciona dicha fuerza a la } \\ \text { masa? } \quad \text { R. } 4 \mathrm{~m} / \mathrm{s}^{2}\end{array} \)

29. นำนักเรียนชาย 4 คน และนักเรียนหญิง 4 คน มายืนเรียงแถวหน้ากระดาน จงหาความน่าจะเป็น ที่นักเรียนชายและนักเรียนหญิงจะยืนสลับ (2 คะแนน)

0) \( \ln 4 x+\ln 5=5 \)

5. En la casa de María hay una gran afición por la literatura y disponen de un total de 300 novelas históricas, 90 novelas clásicas, 6 novelas policíacas y 180 novelas románticas. María ha pensado en hacer montones iguales de libros con los cuatro estilos para colocarlos en estanterías distintas. ¿Cuál es el mayor número de montones que puede hacer y de cuántas novelas?

The top of the slide is 7 feet from the ground and has an angle of depression of \( 23^{\circ} \). What is the length of the slide, \( x \) (₹o at least the nearest hundredth)? \( x=\frac{\mathrm{ft}}{\text { Basic Funcs Trig }} \)

Quil Acilve Dawin and Pablo are members of a normally distributed population that is being sampled, it the chance of Dawn being included in the sample is \( 0.05 \% \), what mus the chance of Pabio being included in the sample be in order to be able to make interences about the population based on the sample? \( 00 \% \) greater than \( 0 \% \) and less than \( 0.05 \% \) \( 0.05 \% \) greater than \( 0.05 \% \)

Quiz Active TIMEREMAINII When finding the margin of error for the mean of a normally distributed population from a sample, what is the critical probability, assuming a confidence level of \( 86 \% \) ? 0.14 0.8 0.95 0.95

Experiment I: Is there DNA in your food? How do you know?

bobby practices his math facts for 18 minutes after school. He practices \( x \) more minutes after dinner. Write an equation that represents the total number of minutes, \( \mathbf{y} \), that Bobby practices math facts.

9) \( \ln 7+\ln -5 x=\ln 77 \)

2) \( \frac{3^{x+1}+3}{8 \cdot 3^{x+1}} \)

Experiment I: A person cannot see a single cotton thread four classrooms away. But if you wound thousands of threads together into a rope, it would be visible at the same distance. How is this statement an analogy to our DNA extraction?

Find (a) \( f(g(x)) \), (b) \( g(f(x)) \), and (c) \( f(f(x)) \). \( f(x)=3 x-7, g(x)=\sqrt{x+7} \) a. \( f(g(x))=\square \) b. \( g(f(x))=\square \) c. \( f(f(x))=\square \)

4. Si los tornillos se venden en cajas de 50 unidades y las tuercas en cajas de 45 , ¿cuántas cajas de cada tenemos que comprar para tener una rosca por cada tornillo? M.C.D.

d. \( 5 x^{2}+14 x+9=0 \)

Experiment I: For each of the following, please choose the appropriate function of the substance. Liquid Detergent in the Extraction Buffer [Choose] [ Choose ] Salt in the Extraction Buffer Alcohol in the Extraction Buffer \( \begin{array}{l}\text { [ Choose ] } \\ \text { Negates the negative charges in the DNA } \\ \text { Enzymes that cut DNA } \\ \text { Source of DNA } \\ \text { Precipitates the DNA } \\ \text { Dissolves the plasma membrane and binds proteins and carbs }\end{array} \) [ Choose ] DNases

\( \square \begin{array}{l}\text { A ladder that is } 13 \text { feet long leans against a building. The bottom of the ladder is } 5 \text { feet away from the base } \\ \text { of the building. How far up the side of the bulding does the ladder reach? } \\ \text { feet }\end{array} \) freck answea

Bobby practices his math facts for 18 minutes after school. He practices \( x \) more minutes after dinner. Write an equation that represents the total number of minutes, \( y \), that Bobby practices math facts.

2. a) Jan plants 30 apple trees in an hour. How long does it take Jan to plant one tree? b) Caroline types 45 words per minute. How many words can she type in 30 minut

EXERCISE 5.1 Calculate the following products and leave the answers in exponential form. 1. a) \( 3^{5} \times 3^{5} \) \( \begin{array}{ll}\text { c) } 15^{4} \times 15^{1} \times 15^{7} & \text { b) } 2^{6} \times 2^{2} \times 2^{3} \\ \text { 2. } a)(-3)^{2} \times(-3)^{3} & \text { d) } 10^{9} \times 10^{11} \times 10^{10} \\ \text { c) }(-a)^{5} \times(-a)^{3} \times(-a) & \text { b) } a^{4} \times a^{6} \times a^{8} \\ \text { a) } 4 a^{2} \times 5 a & \text { d) } y^{7} \times(-y)^{6} \\ \text { c) } a^{2} b^{2} \times a^{3} b^{6} & \text { b) } 8 a^{2} \times-2 a^{3}\end{array} \)

\[ f(x) = 3x + 4 \quad g(x) = 2x - 3 \] \[ \text{Encuentra: } f \circ g(x) \]

2 Show with calculations that Ms Matinga will receive R13 344 medical tax credits for the 2021/22 tax year. Calculate the mount of tax Mr Malinga nust pay for \( 2021 / 22 \) tax year.

3) \( -24 a^{4}-32 a^{3},-8 a^{3} \)

Question 15 (1 point) Which statement explains why a molecule of \( \mathrm{CH}_{4} \) is nonpolar? Question 16 ( 1 point)

Find \( ( \) a) \( f(g(x)),( \) b \( ) g(f(x)) \), and \( ( \) c \( ) f(f(x)) \) \( f(x)=3 x^{-1}, g(x)=4 x+8 \) a. \( f(g(x))=\square \) b. \( g(f(x))=\square \) c. \( f(f(x))=\square \)

Wtics schoology.buffaloschools.org/assignment/7732998866/assessment Question 13 (1 point) What is the formula for iron(II) oxide? a \( \begin{array}{ll}\text { a } & \text { Fe02 } \\ \text { b } & \text { FeO } \\ \text { c } & \text { Fe20 } \\ \text { d } & \text { Fe2O3 }\end{array} \)

.3 Determine, without the use of a calculator, between which two .4 Prove that 0.43 is rational. .5 Use this format \( : \frac{a^{2}-1}{a-1} \) to simplify the expression, WITHOUT using calculator: \( \frac{2024}{44} \)

Solve the equation \( 4 x^{2}+35 x+49=0 \) by factoring. The solutions are \( x_{1}=\square \) and \( x_{2}=\square \) with \( x_{1} \leq x_{2} \). Note: You can earn partial credit on this problem.

Question 11 (1 point) Distillation is a process used to separate a mixture of liquids based on different a boiling points b solubilities c densities d freezing points Question 12 (1 point) Which type of bond is formed when electrons are transferred from one atom to another? a covalent b hydrogen c ionic d metallic

Question 10 (1 point) Which substance can not be broken down by chemical means? a ammonium chloride -NH 4 Cl b aluminum oxide - Al2O3 c ammonia - NH3 d aluminum - Al

Question 9 (1 point) Which event is an example of a physical change? a iron rusting b ice melting c fireworks exploding d eggs cooking

Find (a) \( f(g(x)) \), (b) \( g(f(x)) \), and (c) \( f(f(x)) \) \( f(x)=2 x^{2}, g(x)=x-1 \) a. \( f(g(x))=\square \) b. \( g(f(x))=\square \) c. \( f(f(x))=\square \) State the domain of each composition.

1.2 Factorise fully: 1.2.1 \( 6 x^{2}-7 x-20 \) 1.2 \( \quad x^{2}+x-2 x y-2 y \)

\( 30 \% \) of 350

Fill in the blanks to make a "perfect square." For example, in fill in 9 and 3 since \[ x^{2}+6 x+\ldots=(x+\square)^{2} \] \( x^{2}+14 x+\square=(x+\square)^{2} \). \( x^{2}-8 x+\square=(x-\square)^{2} \). \( x^{2}-20 x+\square=(x-\square)^{2} \). Note: You can earn partial credit on this problem.

Question 8 (1 point) Which element is malleable at STP? a chlorine d helium d sulfur

Question 6 (1 point) All elements on the modern Periodic Table are arranged in order of increasing a atomic mass b molar mass c number of protons per atom d number of neutrons per atom

A toy truck weighing 42 N is placed on a rough, flat surface and a rope is tied to it. The tension in the rope can be increased to \( 20,6 \mathrm{~N} \) before the truck starts to slide. A force of \( 15,4 \mathrm{~N} \) will keep the truck moving at constant speed once it has been set in motion. Determine the coefficients of static and kinetic friction.

Vertex: Probien 1 (10 points) Find \( b \) and \( c \) so that \( y=20 x^{2}+b x+c \) has vertex \( (-1,-3) \). \( b=\square \) \( c=\square \)

Question 5 (1 point) Which element is classified as a metalloid? a Cs b Sc c Cr d Si

Sophia's punch recipe uses 4 cups of water and 1 cup of punch mix. What is the percentage of the punch recipe that is punch mix?

Find (a) \( f(g(x)),(\mathrm{b}) g(f(x)) \), and \( (\mathrm{c}) f(f(x)) \) \( f(x)=-5 x, g(x)=x+6 \) a. \( f(g(x))=\square \) b. \( g(f(x))=\square \) c. \( f(f(x))=\square \)

Use the Distributive Property to write an 1. \( x(x+3)= \) 3. \( (y-2) x= \) 5. \( 3 x-6= \) 7. \( y \cdot 3+z \cdot 3= \)

\( 65 \% \) of 6000

11 Simplify the following \( 111 \quad(m-2 n)\left(m^{2}-6 m n-n^{2}\right) \) \( 11.2 \frac{x^{2}-4}{x^{2}-5 x+6} \times \frac{3-x}{x+2} \) \( 1.3 \quad \frac{y^{3}-1}{y^{2}+y+1}-\frac{4 y^{2}-3 y-1}{4 y+1} \)

A confidence level of \( 95 \% \) means: \( 95 \% \) of the time, sample percentages will fall above the mean. \( 95 \% \) of the time, population data will fall between 149.61 and 150.39 . the mean of \( 95 \% \) of the adults in the sample was 150 . OONE:

In a random sample of 520 adults, the mean was 150 and the standard deviation was 4.5 . The study was reported with a \( 95 \% \) confidence level, and the confidence interval for the study was \( 150 \pm 0.39 \). What range of values shows the confidence interval for the study? 146.1 to 153.9 149.61 to 150.39 150 to 150.39 150 to 153.9 DONE

Word problem involving the probability of a union In a packet of stickers there are 4 small stars, 9 small rockets, and 10 big rockets. But, there are no big stars. Rafael is going to choose one of these stickers from the packet at random to put on his artwork. What is the probability that the sticker Rafael chooses is big or is a star? Do not round intermediate computations, and round your answer to the nearest hundredth.

Question 2 (1 point) Which electron configuration represents the electrons of an atom of neon (atomic number 10) in an excited state? a \( \quad 2-7-1 \) b \( \quad 2-8-1 \) c \( \quad 2-7 \) d \( \quad 2-8 \)

Question 1 (1 point) Atoms are neutral because the number of a protons equals the number of neutrons b protons equals the number of electrons c neutrons is greater than the number of electrons d neutrons is greater than the number of protons

Word problom involving the probability of a union Fran the Fearless has a well-known act at a local zoo. As part of the act, Fran handles a scary animal that she picks at random out of the Box of Terror. The following animals are in the box: 6 poisonous snakes, 7 nonpoisonous snakes, 10 poisonous spiders, and 6 nonpoisonous spiders. What is the probability that the animal Fran picks is poisonous or is a spider? Do not round intermediate computations, and round your answer to the nearest hundredth.

What might happen if the Iducation Department were cloved? By: dill Barshay By now, you know about the endless speculation on whether the Trump administration might close the U.S. Department of Coucation. it remains just that: speculation. Congress would have to be involved. and even a Senate and House controlied by the same party as President Donald Trump would not necessarily go along with this idea. However, since taling office, Trump has sald he would like to use exccutive action to dismantle or at least diminish the agency. And in a statement about his nomination of Linda McMahon for education secretary. Trump underscored his campaign pledge to disband the department, saying. We will send Education BACK TO THE STATES, and Linda wil spearhead that effort." The mere specter of shuttering an agency that commands more than 5200 billion has led parents, students, teachers, policy experts and politicians to wonder about (and in some cases plan for) the possible effects on their children and communities. Collectively, state and local goverriments spend far more on education than the federal government does. With federal dollars connected to many rules about how that money can be spent, however, the education Department does play a signiflcant role in how schools and colleges operete. Deleting the agensy would not undo federal law providing money for students in rural places, with disabilities or who come from low-income families, but doling out that money and overseeing it could get messy. Republican Sen. Mike Rounds af South Dakota late last year introduced a bll to unwind the Education Department and spread its work across other federal agencies. U.S. Rep. Thomas Massle of Kentucky also introduced legislation to abolish the department. The Hechinger Report tried to answer some of the questions ralsed by the possible dismantling of the department, consulting experts and asvocates on sturlent loans, special education, financial ald, school funch and beyond. Nothing is out of the realm of possibility, however complicated. A much smaller agency that gulded Congress on science, the Office of Technology Assessment; simply had its budget set to rero back in 1995 - and just like that, it was gone. The Education Department, created in 1979, reaches far wider and deeper, into essentially every community nationwlde. Its impact is felt not so much in what students are learning every day but whether their schools can pay for the special equipment or training that might be essential for sorme students with disabilities; if they can pay to have an extra teacher to work with struggling readers; whether a student from a low-income houschold can get federal grant money to pay for college; and whether a college student with a federally backed student loan might ever have it forghen. At the same time, many education programs, as well as some that touch schools, exist entirely outside of the Education Department. It doesn't oversce the education of students whose parents live on military bases, for example, or students who attend school on Native American reservations. (Those programs are managed within the Defense and Interior departments, respectively.) 4

In Bill the Boring's dryer there are 15 black shirts, 7 gray shirts, 9 black sweaters, and 6 gray sweaters. Bill is going to take one of these pieces of clothing out of the dryer at random to check if his clothes are completely dry. What is the probability that the plece of clothing Bill takes out is black or is a shirt? Do not round intermediate computations, and round your answer to the nearest hundredth.

An urn contains 9 pink and 6 red balls. Five balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 5 balls drawn from the urn are pink? Round your answer to three decimal places.

5.- Normalizar el vector \( \quad a=\frac{1}{\sqrt{6}} i-\frac{1}{\sqrt{6}} j-\frac{1}{\sqrt{6}} k \)

A fair die is rolled 5 times. What is the probability of having no 1 and no 5 among the rolls? Round your answer to three decimal places.

10. จัดนักเรียน 10 คน ให้นั่งรอบโต๊ะกลม ซึ่งมี 10 ที่นั่ง ได้แตกต่างกันทั้งหมดกี่แบบ ก. 5,040 ข. 40,320 ค. 362,880 ง. \( 3,628,800 \) 11. นักเรียนชาย 4 คน และนักเรียนหญิง 5 คน นั่งรอบโต๊ะกลมซึ่งมี 9 ที่นั่ง โดยที่นักเรียนชายไม่นั่งติดกัน จะมีวิธีนั่งทั้งหมดกี่วิธี ก. 720 ข. 2,520 ค. 2,880 ง. 20,160 12. ในที่ทำงานแห่งหนึ่งมีตำแหน่งที่แตกต่างกันว่างอยู่ 5 ตำแหน่ง โดยที่เป็นตำแหน่งสำหรับชาย 3 ตำแหน่ง และตำแหน่งสำหรับหญิง 2 ตำแหน่ง มีผู้มาสมัครเข้าทำงานเป็นชาย 6 คน และหญิง 5 คนจะมีวิธีจัด คนที่มาสมัครเข้าทำงานได้กี่วิธี ก. 240 ข. 360 ค. 1200 ง. 2,400 13. ไพ่สำรับหนึ่งมี 52 ใบ หยิบไพ่ 2 ใบ จากสำรับ โดยหยิบไพ่ทีละใบและไม่ใสคคืนก่อนหยิบใบที่สอง จงหาจำนวนวิธีที่ หยิบได้ไพ่ \( Q \) ทั้งสองใบ ก. 4 ข. 12 ค. 16 ง. 24 14. นักเรียนชาย 3 คน และนักเรียนหญิง 3 คน นั่งรอบโต๊ะกลมซึ่งมี 6 ที่นั่ง โดยที่นักเรียนหญิงนั่งติดกันหมด จะมีวิธีนั่งทั้งหมดกี่วิธี ค. 36 ข. 54 ค. 120 ง. 720

Which of the following criteria are necessary conditions for making a statistical inference? sample size greater than 30, or an approximately normal data set sample size greater than 100 convenience sample simple random sample systematic sample Dons

A fair die is rolled 6 times. What is the probability that a 6 is obtained on at least one of the rolls? Round your answer to three decimal places.