Select the correct answer.

What is the value of this expression when a = 4, b = -5, and c = -7?

Answer:

26 feet

Step-by-step explanation:

Answer:

800 books

problem solving steps：

adults:60%

young people:5%

children=100%-60%-5%

=35%

35%=280 books

1%=280÷35

=8

100%=800

so,there are 800 books

The interpretation of the slope and y-intercept of this equation is that: C. The slope predicts a temperature increases of about 1/6 for every increase of 1 chirp per minute. The y-intercept shows that when the crickets are not chirping (x = 0), the temperature is 60 degrees.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Since Ronnie determined that the association between the number of chirps per minute (x) that crickets make at different temperatures (y) in degrees Fahrenheit is linear and that the line of best fit is given by;

y = 1/6(x) + 60

By comparison, we have the following:

Slope, m = 1/6.

y-intercept = 60.

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Answer:

B

Step-by-step explanation:

given scale is 1 inch represents 7.5 feet

then we require to calculate how many 7.5 feet there are in each dimension.

to obtain this divide each dimension by 7.5, that is

13 ÷ 7.5 ≈ 1.73 ( to 2 decimal places )

26 ÷ 7.5 ≈ 3.47 ( to 2 decimal places )

then dimensions are approximately 1.73 inches by 3.47 inches

Answer:

Right triangle JKL with JK measuring 33, angle J measures 60 degrees and angle L measure 30 degrees. 33rad … ical 3 66 33radical 2 16.5 5 Select the correct answer. 2 2

Step-by-step explanation:

The length of v to the nearest 10th of an inch is 2.0 inches.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

We can use the Law of Sines,

Which states that for any triangle ABC:

a/sin(A) = b/sin(B) = c/sin(C)

where a, b, and c are the lengths of the sides of the triangle opposite the angles A, B, and C.

Now,

a = UV = u = 3.4 inches

A = ∠TUV

  = 180° - m∠U - m∠V

  = 180° - 144° - 35°

  = 1°

B = ∠UTV

   = m∠U

   = 144°

C = ∠TVU

  = m∠V

  = 35°

Using the Law of Sines,

v/sin(C) = u/sin(B)

Substituting in the values.

v/sin(35°) = 3.4/sin(144°)

Solving for v.

v = (3.4 × sin(35°)) / sin(144°)

v = 1.97 inches

Therefore,

The length of v to the nearest 10th of an inch is 2.0 inches.

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Answer:

17.32 meters

Step-by-step explanation:

Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.

Using trigonometry, we can calculate that:

tan (60) = H / 10

H = 10 * tan (60)

H = 10 * √3

H = 17.32 m

Therefore, the height of the tower is 17.32 meters.

Let me know if I helped :)

Answer:2 11/16 I believe is the answer

Step-by-step explanation:

Answer:

C and E

Step-by-step explanation:

To solve this problem, let's plug in each coordinates into the equation.

A:

B:

C:

D:

E:

The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.

To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:

1 1 3 8 19 41

0 2 5 11 22

Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.

Let's check if the differences between consecutive terms are square numbers:

2 = 1²

5 = 2² + 1²

11 = 3² + 2²

22 = 4² + 3²

Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:

41 + 57 = 98

Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.

Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.

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The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

Therefore, the required value is 0.93

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Answer: D

Step-by-step explanation:

Hope it helps

After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.

To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:

Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)

where:

P = the initial loan amount (in this case, $219,000)

r = the monthly interest rate (which is the annual interest rate divided by 12)

n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)

b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)

First, we need to calculate the monthly interest rate:

r = 4.5% / 12 = 0.00375 = 0.375%

Next, we can plug in the values to get:

Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)

= $145052.36

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The equation of circle (x-4)² + (y+11)² = 64

What is a Circle?

All points in a plane that are at a specific distance from a specific point, the center, form a circle. Alternatively, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

Here we know that (h,k)=(4,-11) but we are not given the radius.

However, we can find the radius by using the distance formula.

Therefore,

r = √[(x2 - x1)² + (y2 - y1)²]

r = √[(4 - 4)² + (-3 + 11)²]

r = √[(0)² + (8)²]

r = √(8²)

r = 64

An equation of the circle with center (h,k) and radius r is

(x−h)^2 +(y−k)^2=r^2

Substitute the values in the equation of circle as follows:

(x-4)² + (y+11)² = 8²

(x-4)² + (y+11)² = 64

Therefore, the equation of the circle is (x-4)² + (y+11)² = 64

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Answer:

6,000,000

Step-by-step explanation:

Answer:

z = 80°

Step-by-step explanation:

The sum of the interior angles would equal to 360°

100° + 60° + 120° = 280°

360° - 280° = 80°

Answer:

z = 80

Step-by-step explanation:

A quadrilateral has angles that sum to 360°

E + C + G + F = 360

100 + 60 + 120 + F = 360

Combine like terms

280 + F = 360

F = 360 - 280

F = 80

We know that ABCD is similar to FECG

This means that the measure of A = measure of F

z = 80

Answer: 4

Step-by-step explanation:

multiplying by 10 = move over 1 10s place so 0.4 * 10 = 4

Answer:

4

Step-by-step explanation:

 0.4 x 10 = 4.0

The inclination of the line represented by the equation y = x + 3 is 1, and the inclination of the line represented by the equation 3x - 2y = 6 is 3/2.

To determine the inclination (or slope) of a straight line, we can examine the coefficients of the variables x and y in the equation of the line.

The inclination represents the ratio of how much y changes with respect to x.

Equation: y = x + 3

In this equation, the coefficient of x is 1, which means that for every increase of 1 in x, y also increases by 1.

This indicates that the inclination of the line is positive, meaning it slopes upwards as x increases.

Since the coefficient of x is 1, the inclination can be expressed as 1/1 or simply 1.

Equation: 3x - 2y = 6

To determine the inclination, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope.

First, isolate y:

-2y = -3x + 6

Divide the entire equation by -2 to solve for y:

y = (3/2)x - 3

Now we can observe that the coefficient of x is 3/2.

This indicates that for every increase of 1 in x, y increases by 3/2. Therefore, the inclination of this line is positive, indicating an upward slope.

The inclination can be expressed as 3/2.

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The percent decrease in the number of people who went to the pool over these four​ weeks is 20%

From the question

In July:

First week:

Number of people went to the local swimming pool

=1100

Second week:

100 fewer people went to the pool than in the first week

so,

Number of people went to the local swimming pool

=1100-100

=1000

Third week:

145 more people went to the pool than in the second week

so,

Number of people went to the local swimming pool

=1000+145

=1145

Fourth week:

265 fewer people went to the pool than in the third week

so,

Number of people went to the local swimming pool =1145-265

=880

Decrease in number of people over four week

= number of people in first week - number of people in fourth week

Decrease in number of people over four week=1100-880

=220

The percentage decrease is calculated as:

220/1100 x 100

=20%

Hence, the percentage decrease is 20%

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Answer:

252

Step-by-step explanation:

The second and third smallest factors must add to 5. The only possibility is that these factors are 2 and 3.

The second and third largest factors must add to \(462-N\). These factors are \(N/2\) and \(N/3\).

\(462-N=\frac{N}{2}+\frac{N}{3} \\ \\ 462-N=\frac{5N}{6} \\ \\ 462=\frac{11N}{6} \\ \\ N=252\)

Answer:

Step-by-step explanation:

Write the equation that describes the line with slope = 2 and y-intercept = in slope-intercept form. 312. Jy = 2x+. D.) x = 2y+ 2/2. 14x ...

Given equation:

\(y = 3 \cos (\frac{24 \pi}{ 149}x)\\\\\)

To find:

height of water at 2:15 am=?

Solution:

\(y = 3 \cos (\frac{24 \pi}{ 149}x)\\\\\)

where x  is the time in hours  that is 11:00 p.m and at the of time 2:15 am the calculating value of x:

\(\to X= (3:15)\ hours = 3 \frac{1}{4} = \frac{13}{4}\\\\ \to y= 3 \cos (\frac{24 \pi}{149}\times \frac{13}{4} )\\\\\)

       \(= 3 \cos (\frac{6 \pi}{149}\times 13 )\\\\= 3 \cos (\frac{78\pi}{149} )\\\\= -0.22118\approx -0.22\\\\\)

Therefore, the height of the water at 2:15 am is 0.22 feet below the marker.

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Answer:

The Answer is A 0.22 feet

Step-by-step explanation:

Answer: 90 degrees

Step-by-step explanation: A circle is 360 degrees so since that is 1/4 you can divide

360/4 = 90 (: hope this helps

Answer:

90* x 4 = 360*

360* / 4 = 90*

Step-by-step explanation:

A circle has 360* all around.

In the angle that was drawn, it is 90*

The degrees for the space outside of 90* is x

x = ?                360* - 90* = 280*                 x = 280*

hope this helped

Answer:

68%

Step-by-step explanation:

We start by calculating the z-scores of both

z-score = (x-mean)/SD

for 2.21

z-score = (2.21-2.61)/0.4 = -1

For 3.01

z-score = (3.01-2.61)/0.4 = 0.4/0.4 = 1

So what we want to find is the percentage between -1 SD and 1 SD of the mean

This is the percentage corresponding to the probability

P(-1 < x < 1)

According to the empirical rule, this is a value of;

68.269%

Answer: 1. 125

2. 36.5

3. 27.77

1.  4/9 left of the pizza

Step-by-step explanation: Hope this helped! :)

The value of m is 15 units

In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other. More precisely, one can be obtained from the other by uniformly scaling (enlarging or reducing), possibly with additional translation, rotation and reflection.

If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.

Given:

side of ABC,

Ab= 10, AC = 6

and side of QRS

RQ = m, QS = 9

Now, as both triangles are similar then the ratio of their side be also congruent

AB/ RQ = AC/ QS

10 / m = 6 / 9

9 x 10 = 6 x m

90 = 6m

m = 90/6

m = 15

Hence, the value of m is 15 units

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The solution of the inequality means p = { range of values greater than $175 up until $400 }

We need to write and solve an inequality to find the prices p of coats that the shopper can afford.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Given that the value of price, p of coats the shopper can afford is greater than $175.

p > 175 can be translated as 175 < p

The shopper has $400 to spend on a winter coat such, p ≤ $400 .

The two inequalities can therefore be combined to yield a single inequality thus;

175 < p ≤ $400

The solution for prices of coat, p that the shopper can afford ranges between;

p = { range of values greater than $175 up until $400 }

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Answer:

od

Step-by-step explanation:

When water is heated on a stove, thermal energy is transferred from the element to the water.

Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light.

Given that When water is heated on a stove.

We need to find the type of energy is transferred from the element to the water.

Boiling water on a stove is an example of thermal energy.

Thermal energy refers to the energy contained within a system that is responsible for its temperature.

Heat is the flow of thermal energy.

Thermal energy is produced when the atoms and molecules in a substance vibrate faster due to a rise in temperature.

Hence, When water is heated on a stove, thermal energy is transferred from the element to the water.

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