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Solve.
\[ \frac{3}{7}+\frac{1}{4}=\frac{1}{x} \]
Algebra
a) \( \overline{18} \)
\( \begin{array}{llll}\text { 7. El resultado de la operación } \frac{7}{12}-\frac{5}{9}+\frac{13}{18} \text { es: } \\ \begin{array}{llll}\frac{28}{36} & \text { b) }-\frac{28}{36} & \text { c) }-\frac{3}{4} & \text { d) } \frac{3}{4} \\ \text { a) }\end{array}\end{array} \begin{array}{l}\text { b) }\end{array} \)
Arithmetic
Suppose \( \$ 1800 \) is borrowed for four years at an interest rate of \( 3 \% \) per year, compounded continuously. Find the total amount owed, assuming no
payments are made until the end. Round to the nearest cent.
Calculus
(n) \( \frac{a^{3 x+2 y+z} \cdot a^{x+3 y-z}}{a^{4 x+5 y}} \)
Algebra
21. A 14 -inch pepperoni pizza is sliced into 8 equal pieces. One slice contains
352 ealories. Write and solve a division equation to find how many
calories e there are in the whole pizza.
Arithmetic
(b) Simplify the following:
\( \begin{array}{lll}\text { (1) } 2^{x} \cdot 2^{x} & \text { (2) } & \left(2^{5}\right)^{x} \\ \text { (4) } 2^{x} \cdot 2^{3} & \text { (5) } & \left(5^{3} \cdot 3^{5}\right)^{x} \\ \text { (7) } 81^{x} \cdot 27^{2 x} & \text { (8) } \frac{5^{x} \cdot 5^{x}}{25^{x}} & \text { (3) } \\ \left(3^{x}\right)^{3} \\ 9^{x} \cdot 3^{2 x} \\ \text { (10) } \frac{7^{x} \cdot 7^{2 x}}{\left(7^{2} \cdot 7\right)^{x}} & \text { (11) } \frac{25 \cdot 9^{x}}{3^{x} \cdot 3^{x} \cdot 5} & \text { (9) } \frac{\left(2^{x}\right)^{3} \cdot 2^{x}}{16^{x}} \\ \text { (13) } \frac{12^{x} \cdot 3^{-x}}{2 \cdot 4^{x}} & \text { (14) } \frac{32^{x}}{4^{x}} & \text { (12) } \frac{\left(2^{x}\right)^{3} \cdot 27^{x}}{8^{x} \cdot\left(3^{2}\right)^{x} \cdot 3^{x}}\end{array} \)
Algebra
4. \( \frac{3 x-1}{2}-\frac{3-x}{3}<\frac{x}{12}+2 \) and \( x \in \mathbb{R} \)
Algebra
Find the number that makes the ratio equivalent to \( 81: 6 \).
Submit
Algebra
Solve the following equations:
\[ \begin{array}{l}\text { a) } x+15=-30 \\ x=-45 \\ \text { b) } 2 y+7=19\end{array} \]
Algebra
Select your answer
If the hours of daylight on a given day in Stockholm
can be modeled using the function \( I(d)= \)
\( 6.2 \sin \left(0.017 d-\frac{\pi}{2}\right)+12.2 \) in which \( I(d) \) represents
the length of the day and \( d \) stands for the day of the
year, what is the approximate length of the day on
June \( 30 ? \)
-6.0 hours
-9.5 hours
-12.0 hours
-15.5 hours
-18.5 hours
Trigonometry
Snowy Owls
The following is the draft of a student essay. It contains errors.
Snowy owls or Arctic owls live in the Arctic region. They are white in color and have brown spots on their body. Their eyes are small and golden. Their toes and claws are covered with feathers the feathers protect them from the extreme cold of the Arctic region. \( \qquad \) are short, sharp, and pointed. Their bills are also dark in color. Snowy owls have a keen sense of hearing and sharp eyesight this helps them to hunt at night. Most owl species hunt at night. \( \qquad \) hunt for food mainly during the day, but also at night. Their main diet includes lemmings they also eat birds and other animals such as hares. They wait quietly and patiently for their prey before they pounce on them. Snowy owls do not have many enemies. They have to be watchful of animals such as arctic foxes and wolves. These animals usually attack the nests when the mother owl is busy warming the eggs or looking after the baby owls. Snowy owls are fierce fighters. They are quite capable of protecting their babies and their nests from enemies.
Directions: Select ALL the correct answers.
Read the following sentences from Natalie's draft
Snowy owls are fierce fighters. They are quite capable of protecting their babies and their nests from enemies
In which two ways could these sentences be combined correctly to improve the flow of ideas?
Because snowy owls are fierce fighters, they are quite capable of protecting their babies and their nests from énemies.
Snowy owls are fierce fighters, and they are quite capable of protecting their babies and their nests from enemies.
Snowy owls are fierce fighters, nevertheless, they are quite capable of protecting their babies and their nests from enemies.
Unless snowy owls are fierce fighters, they are quite capable of protecting their babies and their nests from enemies.
Snowy owls are fierce fighters, and are otherwise quite capable of protecting their babies and their nests from enemies.
Resert
Submit
0 of 10 Answered
Session Timer: 0:40
Session Score: 0\% (010)
English
ยงยุ้ย
ตอนนี้
คณิตศาสตร์เพิ่มเติม6/2 1/67
เนื้อหาถูกเพิ่มในอัลบั้ม "คะแนนสอบหน่วยที่4 ชุดที่2"
6th
โบนัส
0
24/24
ข้อมูลชุดหนึ่งมีค่าเฉลี่ยเลขคณิตเป็น 80 ส่วนเบี่ยงเบนมาตรฐานเป็น 20 แล้ว 140 จะมีค่ามาตรฐานเป็นเท่าใด
-3
5
3
-1
2
Statistics
Select your answer
(24 out of 25
As the moon orbits the earth, the phases of the moon (the portion of the visible moon that is lit by the sun) change from full moon ( \( 100 \% \) lit) to new moon ( \( 0 \% \) lit) and then back to full moon. If the phases of the moon can be modeled using a sinusoidal function with a period of 29.5 days, how much time passes between a full moon and a new moon?
7.4 days
14.8 days
22.1 days
29.5 days
59.0 days
Trigonometry
Assume the radius of a certain planet is 3840 km and the planet is a sphere. What is its surface area?
The planet's surface area is
(Type an exact answer, using ras needed.)
Geometry
Select your answer
If the hours of daylight in Miami can be
approximated using a sinusoidal wave, what is the
amplitude of the function if the shortest day in
Miami is 10 hours and 52 minutes long and the
longest day in Miami is 13 hours and 45 minutes
long?
43 minutes
64 minutes
87 minutes
173 minutes
346 minutes
Trigonometry
Select your answer
Simplify \( \frac{\cot ^{2}(x) \sin (x)}{\tan (x) \csc (x)} \)
\( \cos x \)
\( \sin ^{2} x \)
\( \frac{\cos ^{3} x}{\sin x} \)
\( \cos x \sin x \)
\( \frac{\cos ^{2} x}{\sin ^{2} x} \)
Trigonometry
Find the number that makes the ratio equivalent to \( 1: 2 \).
\( 8: \square \)
Submit
Pre Algebra
Select your answer
What type of identity is cotangent?
Even
Odd
Binomial
Polynomial
Quadratic
Trigonometry
Which choice completes the identity? \( 1-\csc ^{2} x= \)
\( \tan ^{2} x \)
\( -\tan ^{2} x \)
\( \cot ^{2} x \)
\( -\cot ^{2} x \)
\( 1-\sec ^{2} x \)
Trigonometry
TRUE-H چ
\( 10: 54 \)
\( 16 \% \)
quizizz.com
8th
โบนัส
4
20/24
ในการสอบวิชาคณิตศาสตร์ ของ นักเรียนกลุ่มหนึ่ง มีการแจกแจงปกติ มีค่าเฉลี่ยเลขคณิตเท่ากับ 60 คะแนน และส่วนเบี่ยงเบนมาตรฐานเป็น 10 ที่สอบได้คะแนนตากวา 70 คะแนน
84.13\%
50\%
15.88\%
34.13\%
7.94\%
Statistics
To pay for a \( \$ 15,900 \) truck, Miguel made a down payment of \( \$ 3800 \) and took out a loan for the rest. On the loan, he paid monthly payments of \( \$ 217.43 \) for
5 years.
(a) What was the total amount Miguel ended up paying for the truck (including
the down payment and monthly payments)?
(b) How much interest did Miguel pay on the loan?
\( 5 \square \)
Arithmetic
REVIOUS ANSWERS ASK YOUR TEACHER
An airplane is flying in still air with an airspeed of 475 miles per hour The plane is climbing at an angle of \( 32^{\circ} \). Find the rate
(in mi/hr) at which the plane is gaining altitude. (Round your answer to four decimal places.)
\begin{tabular}{|} \& \( \mathrm{mi} / \mathrm{hr} \)\end{tabular}
Trigonometry
The driveway in front of the brown house is 35 feet long and the
driveway in front of the red house is 7 yards and 9 feet long.
Which house has a longer driveway? By how much?
Geometry
Select your answer
Which choice completes the identity? \( \tan ^{2} x= \)
\( \begin{array}{l}\sec ^{2} x-1 \\ \csc ^{2} x+1 \\ 2 \sec ^{2} x\end{array} \)
\( 1+\cot ^{2} x-1 \)
Trigonometry
6. El resultado de la operación \( \frac{7}{12}+\frac{5}{18}+\frac{2}{9} \) es:
\( \begin{array}{llll}\frac{13}{18} & \text { a) } \frac{38}{36} & \text { c) } \frac{13}{12} & \text { d) } \frac{40}{36}\end{array} \)
Arithmetic
Give the slope and \( y \)-intercept of the line whose equation is
given. Then graph the linear function.
\( f(x)=\frac{4}{5} x-4 \)
Select the correct choice below and, if necessary, fill in the
answer box to complete your choice.
A. The slope is
(Simplify your answer. Type an integer or a
fraction.)
B. The slope is undefined.
Algebra
Which choice completes the identity? \( 1-\cos ^{2} x= \)
1
\( \sin ^{2} x \)
\( \sec ^{2} x \)
\( \tan ^{2} x \)
\( \cot ^{2} x \)
Trigonometry
possible
A ball is thrown directly upward from a height of 8 ft with an initial velocity of \( 20 \mathrm{ft} / \mathrm{sec} \). The
function \( s(t)=-16 \mathrm{t}^{2}+20 \mathrm{t}+8 \) gives the height of the ball, in feet, \( t \) seconds after it has
been thrown. Determine the time at which the ball reaches its maximum height and find
the maximum height.
Calculus
7-64. Write and solve an equation for the situation below. Define any variables and
write your solution as a sentence.
Jennifer has a total of four and one half hours to spend on the beach swimming
and playing volleyball. The time she spends playing volleyball will be twice
the amount of time she spends swimming. How long will she do each activity?
Algebra
Find the number that makes the ratio equivalent to \( 6: 2 \).
Arithmetic
Select your answer
What is \( \sec (2.8) ? \)
-1.06
-0.53
0.67
1.35
2.99
Trigonometry
Solve.
\[ \begin{array}{l}-9 x-3 y=6 \\ -7 x-5 y=18\end{array} \]
Algebra
TRUE-H \( چ \)
\( 10: 52 \)
\( 17 \% \)
quizizz.com
94th
ไบน์ส
2
18/24
โยนลูกเต๋าสองลูกพร้อมกัน 1 ครั้ง ตัวแปรสุ่ม \( X \) แทน ผลรวมของคะแนน ที่ได้
ค่าที่เป็นไปได้ของ ตัวแปรสุ่ม \( X \) ได้แก่ข้อใด
\( 0,1,2,3, \ldots, 12 \)
\( 2,3,4, \ldots, 12 \)
2, 4,..., 12
\( 1,2,3, \ldots, 12 \)
\( 1,2,3, \ldots, 6 \)
Probability
Solve.
\[ \begin{array}{l}x+6 y=-9 \\ 6 x+3 y=12\end{array} \]
Algebra
Multiple Answer 2 points
Consider a sampling distribution for a sample mean.
The distribution is well approximated by a Normal distribution with a mean of \( \mu_{\bar{x}} \) and a standard deviation of \( \sigma_{\boldsymbol{x}} \) if which of the
follow is true.
Select all that apply.
The sample size is at least 10 when the population is not normal.
It is never Normal.
The population has a Normal distribution.
The population mean must be at least 30 .
The sample size is at least 30 when the population is not normal.
The sample size is at least 100 when the population is not normal.
Statistics
5. ¿Cuál de las siguientes opciones es una fracción equivalente a \( \frac{16}{36} \) ?
\( \begin{array}{llll}\text { a) } \frac{4}{18} & \text { b) } \frac{4}{9} & \text { c) } \frac{8}{12} & \text { d) } \frac{8}{9}\end{array} \)
Pre Algebra
An airplane is flying in still air with an airspeed of 475 miles per hour. The plane is climbing at an angle of \( 32^{\circ} \). Find the rat (in \( \mathrm{ml} / \mathrm{hr} \) ) at which the plane is gaining altitude. (Round your answer to four decimal places.)
\( \square \) \( \mathrm{ml} / \mathrm{hr} \)
Need Help?
Read It
Trigonometry
Solve.
\[ \begin{array}{l}-x-y=14 \\ 4 x-6 y=4\end{array} \]
Algebra
EXERCISE 5
Calculate the following, without use of a calculator:
\( \begin{array}{ll}\text { (a) } \cos 120^{\circ} & \text { (b) } \tan 315^{\circ} \\ \text { (c) } \sin ^{2} 240^{\circ} & \text { (d) } \frac{\sin 160^{\circ}}{\cos 250^{\circ}}\end{array} \)
Trigonometry
Trumpet Lessons
Heidi's summer vacations had begun and she now had
a lot of free time on her hands. To keep her engaged,
Heidi's mother decided to enroll Heidi in a music class.
Heidi was told that she could choose the musical
instrument she wanted to learn after spending a day or
two at the music club. So, after a few days at the music
club, Heidi decided to learn to play the trumpet. You may
not know that there are many types of trumpets. Slowly
and steadily, Heidi got a hang of the instrument. As she
got better at playing it, she felt more confident and
focused. She was delighted with the music she could
create with her trumpet.
One evening, Heidi saw a flyer on a notice board at the be removed from the passage?
music class. The flyer irisited kids and young adults to
participate in a concert ihe concert was for charity. Heidi
loved the idea of showcasing her newly acquired skill and
helping others. She rushed to her parents to tell them
about the charity concert. Her parents were delighted with
the idea too and encouraged Heidi to participate in the
concert. So keep her engaged, Heidi's mother decided to enroll Heidi in a music class.
Arts
\( 361 h^{2}+38 h+1=0 \)
Write each solution as an integer, proper fraction, or
improper fraction in simplest form. If there are multiple
solutions, separate them with commas.
\( h=\square \)
Submit
Algebra
ASK YOUR TEACHER
PRACTICE ANOTHER
When a certain polyatomic gas undergoes adiabatic expansion, its pressure \( p \) and volume \( V \) satisfy the equation \( p V^{1.6}=k \), where \( k \) is a constant. Find the relationship between the related rates \( \frac{d p}{d t} \) and \( \frac{d^{\prime} V}{d t} \) in terms of \( p \) and \( V \).
\[
\frac{d V}{d t}=(\square) \frac{d p}{d t}
\]
Calculus
Avicenna, an insurance company, offers five-year commercial property insurance policies to small businesses. If the holder of one of these policies
experiences property damage in the next five years, the company must pay out \( \$ 24,200 \) to the policy holder. Executives at Avicenna are considering offering
these policies for \( \$ 573 \) each. Suppose that for each holder of a policy there is a \( 2 \% \) chance they will experience property damage in the next five years and a
\( 98 \% \) chance they will not.
\( \begin{array}{l}\text { If the executives at Avicenna know that they will sell many of these policies, should they expect } \\ \text { to make or lose money from offering them? How much? } \\ \text { To answer, take into account the price of the policy and the expected value of the amount paid } \\ \text { out to the holder. } \\ \text { Avicenna can expect to make money from offering these policies. } \\ \text { In the long run, they should expect to make } \square \text { dollars on each policy sold. } \\ \text { Avicenna can expect to lose money from offering these policies. } \\ \text { In the long run, they should expect to lose } \square \text { dollars on each policy sold. } \\ \text { Avicenna should expect to neither make nor lose money from offering these policies. }\end{array} \)
A.
Probability
Trumpet Lessons
\( \begin{array}{l}\text { Heidi's summer vacations had begun and she now had } \\ \text { a lot of free time on her hands. To keep her engaged, } \\ \text { Heidi's mother decided to enroll Heidi in a music class. } \\ \text { Heidi was told that she could choose the musical } \\ \text { instrument she wanted to learn after spending a day or } \\ \text { two at the music club. So, after a few days at the music } \\ \text { club, Heidi decided to learn to play the trumpet. You may } \\ \text { not know that there are many types of trumpets. Slowly } \\ \text { and steadily, Heidi got a hang of the instrument. As she } \\ \text { got better at playing it, she felt more confident and } \\ \text { focused. She was delighted with the music she could } \\ \text { create with her trumpet. } \\ \text { One evening, Heidi saw a flyer on a notice board at the }\end{array} \)
\( \begin{array}{l}\text { music class. The flyer irerited kids and young adults to }\end{array} \)
participate in a concert ithe concert was for charity. Heidi
loved the idea of showcasing her newly acquired skill and
helping others. She rushed to her parents to tell them
about the charity concert. Her parents were delighted with
the idea too and encouraged Heidi to participate in the
Arts
4. Identifique una fracción equivalente a \( \frac{5}{3} \)
\( \begin{array}{llll}\text { a) } \frac{3}{5} & \text { b) } \frac{6}{10} & \text { c) } \frac{15}{9} & \text { d) } \frac{10}{9}\end{array} \)
Arithmetic
Give the slope and the \( y \)-intercept of the line with the given
equation. Then, graph the linear equation.
\( y=8 x+2 \)
What is the slope? Select the correct choice below and fill
in any answer boxes within your choice
A. The slope is
(Simplify your answer)
B. The slope is undefined.
Algebra
Solve.
\[ \begin{array}{l}-x-y=14 \\ 4 x-6 y=4\end{array} \]
Algebra
c) \( x+5=15 \)
Algebra
There are two trees in a park. The taller tree is 6 feet 8 inches.
The shorter tree is 6 inches shorter than half the height of the
taller tree. What is the height of the shorter tree?
Arithmetic
Sixth grade ? 5.6 Write an equivalent ratio NEA
Find the number that makes the ratio equivalent to 10:70.
Submit
Pre Algebra
3. \( K \) के किस मान के लिए समी. युग्म
\( \begin{array}{l}2 x+3 y-5=0 \\ k x-6 y-8=0\end{array} \)
के अद्वितीय हल है।
Algebra
Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form
Passing through \( (8,6) \) with \( x \)-intercept -4
Write an equation for the line in point-slope form
(Simplify your answer Use integers or fractions for any numbers in the equation )
Algebra
3. \( \frac{3 x-2}{4}-\frac{6-x}{3}<4 \) and \( x \in \mathbb{R} \)
Algebra
Solve.
\[ \begin{array}{l}y=-10 x-4 \\ y=-8 x-2\end{array} \]
Algebra
3. Una fracción equivalente a \( \frac{7}{4} \) es:
\( \begin{array}{llll}\text { a) } \frac{4}{7} & \text { b) } \frac{49}{16} & \text { c) } \frac{56}{32} & \text { d) } \frac{49}{4}\end{array} \)
Arithmetic
2. \( \frac{3 x+1}{5}-\frac{x}{3} \geq \frac{x+12}{15} \) and \( x \in \mathbb{N} \)
Algebra
TRUE-H \( چ \)
\( 10: 48 \)
\( 21 \% \)
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โยนลูกเต๋าสองลูกพร้อมกัน 1 ครั้ง ตัวแปรสุ่ม \( X \) แทน ผลรวมของคะแนน ที่ได้
แล้ว \( P(X=3) \) เท่ากับเท่าใด
3/36
4/36
1/36
2/36
5/36
Probability
3. Each basket can hold twenty
snowballs. Mrs. Miller gives one
basket to two hundred students.
How many snowballs will the
children have altogether?
Arithmetic
Use the given conditions to write an equation for the line in point-slope form and slope-intercept form.
Passing through \( (-4,-1) \) and \( (4,11) \)
Type the point-slope form of the equation of the line.
\( y+1=\frac{3}{2}(x+4) \)
(Use integers or simplified fractions for any numbers in the equation.)
Type the slope-intercept form of the equation of the line.
\( \square \)
(Use integers or simplified fractions for any numbers in the equation.)
Algebra
Solve.
\[ \begin{array}{l}-4 x+10 y=-18 \\ -x+10 y=-12\end{array} \]
Algebra
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