The system of equations and is shown on the graph below. What is a reasonable estimate for the solution? (1.1, –1.9) (–1.9, 1.1) (2.1, –3.9) (–3.9, 2.1)

Answer:

\(\boxed{x=0}\)

Step-by-step explanation:

We need solve for x

\(3=x+3-5x\)

substract 3 to both sides of the equation:

\(3-3=x+3-5x-3\\0=-4x\)

divide both sides of the equation by -4

\(\frac{0}{-4}=\frac{-4x}{-4}\\0=x\\\equiv x=0\)

The value of "x" that satisfies the equation is x=0,

\(\text{-B$\mathfrak{randon}$VN}\)

Answer:

107

Step-by-step explanation:

Given

See attachment for boat and hiker

Required

The distance between the boat and the hiker

To do this, we make of sine rule.

\(\frac{a}{\sin A} = \frac{b}{\sin B} =\frac{c}{\sin C}\)

In this case:

\(x = ??\)

\(X = 68\)

\(a = 66\)

\(A = 35\)

So, we have:

\(\frac{x}{\sin 68} = \frac{66}{\sin 35}\)

Make x the subject

\(x = \frac{66}{\sin 35} * \sin 68\)

Using a calculator, we have:

\(x = \frac{66}{0.5736} * 0.9272\)

\(x = 115.063* 0.9272\)

\(x = 106.68\)

\(x \approx 107\)

4x + 7y < 26;

(3, 2) in this case, x = 3 and y = 2, if we use this values in the inequality:

4x + 7y < 26

4(3) + 7(2) < 26

12 + 14 < 26

26 < 26 is FALSE, so this is NOT a solution of the inequality

(2,3) in this case x = 2 and y = 3, if we use this values in the inequality:

4x + 7y < 26

4(2) + 7(3) < 26

8 + 21 < 26

29 < 26 is FALSE, so this is NOT a solution of the inequality

Answer:

Both ordered pairs are NOT a solution of the inequality

a) We would expect approximately 0.2325 × 200 = 46.5 vehicles

to fail in their first 2 years. Since we cannot have a fraction of a vehicle

failing, we would expect around 46 or 47 vehicles to fail in their first 2

years.

b) The approximate probability that 50 or more vehicles fail in

the first 2 years is 0.0004.

c) The approximate probability that no more than 10 of the remaining

vehicles fail in their first 2 years, given that 30 have already failed, is 0.0002.

a) The average lifespan of the vehicle is 8 years, and it follows an

exponential distribution, which has a probability density function of

\(f(x) = (1/θ) \times e^(-x/θ)\),

where θ is the mean of the distribution. Thus, θ = 8.

The probability that a vehicle fails in the first 2 years can be found by

integrating the exponential probability density function from 0 to 2:

P(X ≤ 2) = ∫[0,2] f(x) dx = ∫[0,2] (1/8) × e^(-x/8) dx

Using a calculator or a table of integrals, we can find this probability to

be approximately 0.2325.

b) The number of vehicles that fail in the first 2 years follows a Poisson

distribution with parameter λ = 200 × P(X ≤ 2) = 200 × 0.2325 = 46.5.

The probability that 50 or more vehicles fail in the first 2 years can be

found using the Poisson distribution with parameter λ = 46.5:

P(X ≥ 50) = 1 - P(X < 50)

Using a Poisson distribution table or a calculator, we can find that P(X <

50) is approximately 0.9996.

Thus, P(X ≥ 50) = 1 - 0.9996 = 0.0004 (approximately).

c) Given that 30 vehicles have already failed in under 2 years, we need

to find the probability that no more than 10 of the remaining 170 vehicles

fail in their first 2 years.

The number of vehicles that fail in the first 2 years follows a Poisson

distribution with parameter λ = 170 × P(X ≤ 2) = 170 × 0.2325 = 39.525

(rounded to 40).

Thus, we need to find P(Y ≤ 10), where Y is a Poisson random variable

with parameter λ = 40.

Using a Poisson distribution table or a calculator, we can find that P(Y ≤

10) is approximately 0.0002.

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Answer:C

Step-by-step explanation:

I put it in Desmos calculator and he can only jump 351 ft high

Answer:

C. 7.0 Liters

Step-by-step explanation:

You always start with the amount that was given to you. In this case it was 7.41 quarts. You then multiply it with the conversion factor (1 qt = 0.95L)

To convert quarts into liters, you must set up the problem so the quarts are able to cancel out, meaining one should be in the numerator and the ither should be in the denominator.

When the quarts are cancelled out, your answer will now be in liters.

Now you just multiply all the numerators and divide the denominators.

7.41 × 0.951 = 7.0395

7.0395/1 = 7.0395

Then you round the answer to 7.0

Answer:

sally has 400.

Step-by-step explanation:

because if u add 350 and 50 it equals 400

Answer:

300

Step-by-step explanation:

john= 350

sally=350-50

=300

Answer:

How Do You Find the X- and Y-Intercepts of a Line in Slope-Intercept Form? To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

Answer:

5 o clock

Step-by-step explanation:

A graph of the solution to this inequality 3x ≤ 18 is: graph D.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would divide both sides of the inequality by 3 as follows;

3x ≤ 18

x ≤ 18/3

x ≤ 6.

In this exercise, we would use an online graphing calculator to plot the given inequality 3x ≤ 18 as shown on the number line attached below.

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Answer:

x = 1.5

y = 0.5

Step-by-step explanation:

There are three alternative ways to write ratios:

1. Using the : symbol, for example, 3 : 8.

2. As a typical fraction, for example, 3/8

Common fraction representations of ratios are viewed as ratios rather than fractions. Instead of "two-fifths," say "3 to 8."

3. Words that start with "to": 3 to 8

When two numbers or quantities are compared, it is known as a ratio. it is different from fraction since fraction is a part of a whole. The numbers that you have been using to write the ratios are called the terms of the ratio. The first term of a ratio is known as antecedent, and the second term as consequent. It's crucial to write the terms in the correct order. A ratio must be read from left to right, and the sequence of the numbers must match their meaning. For instance, since you are comparing the quantity of coffee to the quantity of water, a ratio of 3 scoops of coffee to 12 cups of water must be represented as 3: 12. If you were to express how much water you should use in relation to your coffee, you would say, "Use 12 cups of water for every 3 scoops of coffee," and the ratio would be 12: 3.

1st way to write a ratio is Using the" : " symbol. ex- The class has 16 men and 19 women registered. The ratio of men to women in the class is

16 : 19.

2nd way to write ratio is writing it as a typical fraction. ex-  At the barbeque, 39 French fries and 15 hamburgers were eaten. The ratio of fries eaten to hamburgers eaten is  39 / 15. But it is not used as part of a whole but is used when comparing between two quantities.

3rd way to write ratio is using the word " to ". ex- The class spends 2 hours on English and 3 hours on math each day. it means for every 2 hours that are spent on English 3 hours will definitely be spent on math in comparison with English and is read as  The ratio of time spent on English compared to math is 2 to 3.

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Answer:

Jada drank less water than Elina.

Step-by-step explanation:

Water drunk by Elina = 3 liters

Jada drank the water \(\frac{3}{4}\) times as much as water as Elina.

Therefore, water drunk by Jada = \(\frac{3}{4}\times 3\)

                                                     = \(\frac{9}{4}\)

                                                     = 2.25 liters

Lin drank water twice as much as Jada.

Therefore, Lin drank the amount of water = 2 × 2.25

                                                                   = 4.5 liters

Since Jada drank 2.25 liters of water and Elina drank 3 liters

Therefore, Jada drank less water than Elina.

Answer:

x = 2, 4

Step-by-step explanation:

Step 1: Write out quadratic

x² - 6x + 10 = 2

Step 2: Subtract 2 on both sides

x² - 6x + 8 = 0

Step 3: Factor

(x - 4)(x - 2) = 0

Step 4: Find roots

x - 4 = 0

x = 4

x - 2 = 0

x = 2

Answer:

3 pie, 2√10, and √90

Step-by-step explanation:

3 times pie is 9.472525 or smth, √10 is 3. 45672 times 2, and √90 is like 9

Answer: -2115

Step-by-step explanation:

We can use the distributive property to simplify the calculation of -45 × 47 as follows:

\(\huge \boxed{\begin{minipage}{4 cm}\begin{align*}-45 \times 47 &= -45 \times (40 + 7) \\&= (-45 \times 40) + (-45 \times 7) \\&= -1800 - 315 \\&= -2115\end{align*}\end{minipage}}\)

Refer to the attachment below for explanation

Therefore, -45 × 47 = -2115 when using the distributive property.

________________________________________________________

To solve this problem using the distributive property, we can break down -45 into -40 and -5. Then we can distribute each of these terms to 47 and add the products:

\(\begin{aligned}-45 \times 47 &= (-40 - 5) \times 47 \\ &= (-40 \times 47) + (-5 \times 47) \\ &= -1{,}880 - 235 \\ &= \boxed{-2{,}115}\end{aligned}\)

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

16

Step-by-step explanation:

\( \tan(x) = \frac{13}{46} \)

\( \tan {}^{ - 1} ( \frac{13}{46} ) = 16\)

Answer:

300

Step-by-step explanation:

Answer:

300 meters

Step-by-step explanation:

formula to convert kilometers into meters is to multiply the length value by 1000.

Hope this helped.

Answer:

8x + 3x=11x

Explain:

Every time you see the word sum, you add

Answer:

The number 540 has the following divisors

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Step-by-step explanation:

The number 540 has the following divisors

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Therefore, the number 540 is not a prime number or a deficient number

A deficient number is one that is larger than the sum total of its possible dividing numbers less the number 540 itself that is we have;

1+ 2+ 3+ 4+ 5+ 6+ 9+ 10+ 12+ 15+ 18+ 20+ 27+ 30+ 36+ 45+ 54+ 60+ 90+ 108+ 135+ 180+ 270 = 1140.

Answer:

\(540 = 3 ^{3} \times 2 {}^{2} \times 5\)

so, it is 4*3*2= 24

Answer:

44°

Step-by-step explanation:

This is an inscribed angle and its measure is equal to the measure of arc it sees (minor arc BC in this case)

88 ÷ 2 = 44°

The measure of angle a is:

a = (140° - 96°) / 2 = 44° / 2 = 22°

Therefore, the answer is 22.

1

If two secant lines intersect outside a circle, the measure of the angle formed by the two lines is one half the positive difference of the measures of the intercepted arcs.

In the given diagram, we can see that the intercepted arcs are 96° and 140°. Therefore, the measure of angle a is:

a = (140° - 96°) / 2 = 44° / 2 = 22°

Therefore, the answer is 22.

Answer: 22

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When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

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Answer:

(Question 1) If a circle graph was constructed from the results, which lake activity has a central angle of 46.8°?

Kayaking

Wakeboarding

Paddleboarding

(Question 2) Which of the following circle graphs correctly represents the data in the table?

B. a circle graph titled social media usage, with four sections labeled vidtok 17 percent, headbook 48 percent, picturegram 25 percent, and tweeter 10 percent

(Question 3) A circle graph was drawn from the data in the table. What percentage would be on the Decades slice of the circle graph?

26.7%

86.4%

96%

(Question 5)Which of the following circle graphs correctly represents the data in the table?

A: a circle graph with four sections, labeled turkey 30 percent, ham 20 percent, chicken 35 percent, and vegetarian 15 percent

(Question 6) How many middle school students prefer the Documentaries television genre?

24

76

86.4

Step-by-step explanation:

I did some of them, You're welcome.

The area of the given triangle is 87.55 square centimeter.

From the given triangle, base=17 cm and height=10.3 cm.

The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Here, area of a triangle = 1/2 ×17×10.3

= 87.55 square centimeter

Therefore, area of the given triangle is 87.55 square centimeter.

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