7
There are 9 pencils in Bryce's pencil box. 3/4 of the pencils are mechanical pencils.
How many of his pencils are mechanical?

HELP

Answer:

slope = - \(\frac{1}{2}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 7 ) and (x₂, y₂ ) = (8, 1 )

m = \(\frac{1-7}{8-(-4)}\) = \(\frac{-6}{8+4}\) = \(\frac{-6}{12}\) = - \(\frac{1}{2}\)

==============================

Work Shown:

m = (y2-y1)/(x2-x1)

m = (b-4)/(6-(-2))

m = (b-4)/(6+2)

m = (b-4)/8

Set this equal to the slope -3/4 and solve for b

(b-4)/8 = -3/4

4*(b-4) = 8*(-3) ... cross multiply

4b-16 = -24

4b = -24+16 ... adding 16 to both sides

4b = -8

b = -8/4

b = -2

---------------------

Since b = -2, we can replace b with -2

That makes the point (6,b) turn into (6,-2)

Now apply the slope formula to (-2,4) and (6,-2). We should get -3/4 as a result

m = (y2-y1)/(x2-x1)

m = (-2-4)/(6-(-2))

m = (-2-4)/(6+2)

m = -6/8

m = -3/4

So everything works out.

Answer:

b = -2

Step-by-step explanation:

In the ANOVA test, factors don't directly explain variation, levels don't account for external variation, and the blocking factor's significance should be considered despite a significant main factor for accurate interpretation.

1. A factor in an ANOVA test that does not necessarily describe the cause of the variation in the data is False. A factor represents a categorical variable or an independent variable that is believed to have an effect on the dependent variable. It is used to explain the observed differences among groups or treatments, but it does not directly explain the cause of the variation.

2. A level in an ANOVA test does not account for the variation outside of the main factor is False. A level refers to the different values or categories within a factor. It represents the specific groups or treatments being compared within a factor.

Levels do not account for variation outside of the main factor; rather, they help analyze the variation within the factor and assess the differences between the levels.

3. The significance of the blocking factor is still important even if the main factor is statistically significant in a randomized block ANOVA is False. A blocking factor is included to account for potential sources of variation that are not of primary interest but might affect the outcome variable.

It helps control for confounding variables or other sources of variation, and its significance should be considered in interpreting the results accurately. Both the main factor and the blocking factor need to be evaluated to understand the overall significance and impact of different factors on the outcome variable.

Therefore, all the answers are false.

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Note: The question would be as

1. A Factor In An ANOVA Test Describes The Cause Of The Variation In The Data. True Or False?

2. A Level In An ANOVA Test Accounts For The Variation Outside Of The Main Factor. True Or False?

3. As Long As The Main Factor Is Statistically Significant With Randomized Block ANOVA, There Is No Concern About The Significance Of The Blocking Factor. True

Isolate the variable by dividing each side by factors that don't contain the variable.

x = 2 √ 3 , − 2 √ 3

Answer:

The actual dimensions of the kitchen are  12 feet by 14  feet

Step-by-step explanation:

The kitchen's real measurements are 12 feet by 14 feet.

Detailed explanation:

4 / 0.8 = 5, 7 / 1.4 = 5. The actual drawing ratio is a 5:1 ratio.

Consequently, 2.4 inches multiplied by 5 is 12 feet and 2.8 inches multiplied by 5 equals 14 feet.

12 ft. x 14 ft.

Find the scale of the drawing

\(\frac{0.8}{4} \frac{in}{ft.} = \frac{1.4}{7} = 0.2 \frac{in}{ft.}\)

To determine the precise dimensions subtract 0.2 from the measurements on the scale illustration to get 12 feet (2.4/0.2).

2.8/0.2 = 14 ft

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Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

Answer:

nStep-by-stepkbexplanation:

The number line shows the value of 5 - (-8) = 13.

Addition:

Subtraction:

Here the given operation is subtraction. Where a subtrahend is a negative number i.e., -8.

Step1: Start from '5' on the number line.

Step2: Since the subtrahend is a negative number, move to the right side on the number line from '5'.

Step3: Thus, the number obtained on the line is 13.

Step4: Algebraically the result is 5 - (-8) = 5 + 8 = 13.

The number line for this operation is shown below.

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As Andre started with $15 and deposits $5 per week, the equation for Andre's savings can be expressed as: y = 5x + 15.

To write the equation for Andre's financial savings, we are able to use the records that he began with $15 and deposits $five in step with week. Let's denote the quantity of weeks as x and Andre's financial savings as y.

Since he deposits $five in step with week, the equation for Andre's savings can be expressed as:

y = 5x + 15

Now, allow's graph Andre's financial savings equation along Noah's equation, y = 7.5x + 2.Five, to see their financial savings over the years.

Regarding the intersection factor of the 2 graphs, it represents the week(s) when Andre and Noah will have the same quantity of financial savings. In other words, it's the point in which their savings grow to be same.

Thus, by locating the x-coordinate of the intersection point, we can decide the range of weeks it's going to take for Andre and Noah to have the same amount saved.

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Your question seems incomplete, the probable complete question is:

Andre and Noah started tracking their savings at the same time. Andre started with $15 and deposits $5 per week. Noah started with $2.50 and deposits $7.50 per week. The graph of Noah's savings is given and his equation is y=7.5x+2.5, where x represents the number of weeks and y represents his savings.

Write the equation for Andre's savings and graph it alongside Noah's. What does the intersection point mean in this situation?

Answer:

3 seconds

Step-by-step explanation:

Given the height modelled by the function

h(t) = -16t² + 16t + 96

The hit the water at h(t) = 0

0 = -16t² + 16t + 96

Divide through b y -16

0 = t² - t - 6

t² - t - 6 = 0

t² - 3t+2t - 6 = 0

t(t-3)+2(t-3) = 0

t+ 2 = 0 and t - 3 = 0

t = -2 secs and t = 3secs

Since t can't be negative, hence;

t = 3 secs

hence it will take 3 seconds until Devon hit the water

Answer:

220

Step-by-step explanation:

a dice has 6 sides

660 divided by 6 = 110

you asked for 2 numbers so

110 times 2 = 220

To find the result of multiplying vector a by vector b, we use the dot product or scalar product. The dot product of two vectors is calculated by multiplying the corresponding components and summing them up.

Given:

a = [1, 3, 5]

b = [1, 3, 5]

To find a · b, we multiply the corresponding components and sum them:

\(a . b = (1 * 1) + (3 * 3) + (5 * 5)\\ = 1 + 9 + 25\\ = 35\)

So, a · b equals 35.

Now, let's plot the coordinate (35) on a graph paper. Since the coordinate consists of only one value, we'll plot it on a one-dimensional number line.

On the number line, we mark the point corresponding to the coordinate (35). The x-axis represents the values of the coordinates.

First, we need to determine the appropriate scale for the number line. Since the coordinate is 35, we can select a scale that allows us to represent values around that range. For example, we can set a scale of 5 units per mark.

Starting from zero, we mark the point at 35 on the number line. This represents the coordinate (35).

The graph paper would show a single point labeled 35 on the number line.

Note that since the coordinate consists of only one value, it can be represented on a one-dimensional graph, such as a number line.

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14. Question wise,

In ΔRST,

∠R=2x+5

∠S=x+1

∠T=7x-16

we know,

∠R+∠S+∠T=180 [sum of 3 angles of a triangle is 180°]

2x+5+x+1+7x-16=180

10x-10=180

10(x-1)=180

x-1=18

x=19

so,

∠R=(2×19)+5=43

∠S=19+1=20

∠T=(7×19)-16=117

15. Question wise,

In ΔABC,

∠A=∠C-13

∠B=4∠C-11

we know,

∠A+∠B+∠C=180 [,,]

∠C-13+4∠C-11+∠C=180

6∠C-24=180

6∠C=180+24

∠C=204÷6=34

so,

∠A=34-13=21

∠B=(4×34)-11=125

16. Question wise,

In ΔJKL

∠K=∠J+9

∠L=2∠J-21

we know,

∠J+∠K+∠L=180

∠J+∠J+9+2∠J-21=180

4∠J-12=180

4∠J=180+12

∠J=192÷4=48

so,

∠K=48+9=57

∠L=(2×48)-21=75

Answer:

Yes Ben is correct

Step-by-step explanation:

For example:

If n² is the greater of the two consecutive square numbers, then the difference will be 2n-1. So for example, if you have two consecutive squares with the values of 25, and 36, their difference will be 11. Notice though that 11=2×6–1, so it conforms to 2n-1.

Answer:

you  need to draw a triangle on the grid

Step-by-step explanation:

find point -3 then 7

then find points -2 and 1

then -5 and 2

then join the points together

hope that helps

pls mark brainliest

The orbit type of the Molniya 1-91 satellite is Molniya orbit, characterized by a highly eccentric orbit inclined at an angle of 63.17 degrees to the Earth's equator. The orbital parameters, namely the semi-major axis (a) and the argument of perigee (ω), are required to determine the satellite's position and velocity vectors.

a) The Molniya 1-91 satellite follows a Molniya orbit, which is a type of highly eccentric orbit designed to provide extended dwell time over high latitudes. This orbit is characterized by a high inclination angle of 63.17 degrees with respect to the Earth's equator. Molniya orbits are commonly used for communication satellites that serve polar regions, as they spend a significant portion of their orbit over these areas.

b) To determine the orbital parameters of the Molniya 1-91 satellite, we need to extract the relevant information from the two-line element set. The semi-major axis (a) is not directly provided in the given data. However, we can calculate it using Kepler's third law and the mean motion (n) derived from the second line of the TLE. The argument of perigee (ω) is given as 281.6462 degrees in the TLE. These parameters, along with other orbital elements, are crucial for describing the satellite's orbit.

c) To calculate the position and velocity vectors of the Molniya 1-91 satellite in the geocentric equatorial coordinate frame, we need additional information. The TLE only provides elements related to the orbit's shape and orientation, not the satellite's current position and velocity. Position and velocity vectors can be determined by solving the equations of motion using the orbital parameters and mathematical models of celestial mechanics. However, without up-to-date information on the satellite's time and date, it is not possible to calculate these vectors accurately.

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Answer: -4

Step-by-step explanation:

Divide by -4 each time to get the next number in the sequence.

The measure of ∠XYZ would be,

⇒ ∠XYZ = 43°.

Since, A triangle which have a three sided polygon, with three vertices and three angles which has the sum 180 degrees.

We have to given that;

Lines YX and YZ are tangents to the circle A at the points X and Z respectively.

And, Angles are,

m XZ = 136°

And, m XSZ = 222°

Since, An angle is a combination of two rays with a same endpoint. the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Since, The measure of the central angle is equal to the measure of the minor arc.

Here, Arc XZ is the minor arc, central angle is equal to 136°.

Hence, We get;

∠XYZ = 1/2 (Major - minor )

∠XYZ = 1/2 (222 - 136)

∠XYZ = 1/2 (86)

∠XYZ = 43°

Therefore, We get;

The measure of ∠XYZ is,

⇒ ∠XYZ = 43°.

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Answer:

A. 5

Step-by-step explanation:

The longest side of the right triangle is the hypotenuse and it is √61 units. The other legs of the triangle is x unit and (x + 1) units.

From Pythagoras theorem for right angle triangle, the square of the hypotenuse is equal to the sum of the square of the other sides of the triangle. This implies that:

(√61)² = (x)² + (x + 1)²

x² + x² + 2x + 1 = 61

2x² + 2x + 1 - 61 = 0

2x² + 2x -60 = 0

Dividing through by 2 gives:

x² + x - 30 = 0

x² + 6x - 5x - 30 = 0

x(x + 6) -5(x + 6) = 0

(x-5)(x+6) = 0

x-5 = 0 or x+6 = 0

x = 5 or x = -6

Since the length of a side cannot be negative, x = 5 units

Answer:

The correct answer is A.

Step-by-step explanation:

X=5

Answer:

the answer should be c

Step-by-step explanation:

A Box and Whisker Plot (or Box Plot) is a convenient way of visually displaying the data distribution through their quartiles. The lines extending parallel from the boxes are known as the “whiskers”, which are used to indicate variability outside the upper and lower quartiles

Whiskers function in a box and whisker plot represent the interquartile range. Therefore, option A is the correct answer.

A special kind of graph called a box and whisker plot is used to display the distribution of groupings of numerical data. It displays the median—the average value of the numbers in your data—as well as the lowest and greatest values as well as the quartiles, which divide the data into four equally-sized groups.

The whiskers are the two lines that extend outside the box and run from the minimum to the lower quartile (the box's beginning) and from the higher quartile (the box's end) to the maximum value.

Therefore, option A is the correct answer.

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Step-by-step explanation:

The answer is a - (-b) = (-b) - a

for example if we take;

a = 4

b = 2

c = 2

and we replace;

4 - ( -2) = (-2) - 4

6 = -6

which is not true....

All the remaining are true....

even u can just use the values of abc and check if its true....

Answer:

4(r+10) = 4

Step-by-step explanation:

Step-by-step explanation:

step 1. a triangle has 3 sides and the 3rd side cannot be longer than the other two sides added together

step 2. (and!) a triangle has 3 sides and the 3rd side must be at least as big as the difference between the 2 other sides

step 3. 15 - 10 < x < 10 + 15

step 4. 5 < x < 25

step 5. answer: 6.

Therefore, the average velocity of the ball for the time intervals beginning at t = 2 seconds and lasting for 0.5 seconds, 0.1 seconds, 0.05 seconds, and 0.01 seconds are 5 ft/s, 3.8 ft/s, 3.25 ft/s, and 2.48 ft/s respectively.

a) Find the average velocity of the ball (in ft/s) for the time interval beginning at t = 2 and lasting for each of the following.

(i) 0.5 seconds

(ii) 0.1 seconds

(iii) 0.05 seconds

(iv) 0.01 seconds

Given that, the height in feet after t seconds is given by:

y = 42t - 16t². To find the average velocity, use the following formula:

Average velocity = Δy / ΔtWhere Δy is the change in the distance and Δt is the change in time.

(i) For t = 2 and Δt = 0.5, the average velocity can be found as:

Δy = y2 + Δt - y2

= y2.5 - y2

= 42(2.5) - 16(2.5²) - (42(2) - 16(2²))

= 5 ft/s

(ii) For t = 2 and Δt = 0.1, the average velocity can be found as:

Δy = y2 + Δt - y2 = y2.1 - y2

= 42(2.1) - 16(2.1²) - (42(2) - 16(2²))

= 3.8 ft/s

(iii) For t = 2 and Δt = 0.05, the average velocity can be found as:

Δy = y2 + Δt - y2

= y2.05 - y2

= 42(2.05) - 16(2.05²) - (42(2) - 16(2²))

= 3.25 ft/s

(iv) For t = 2 and Δt = 0.01, the average velocity can be found as:

Δy = y2 + Δt - y2

= y2.01 - y2

= 42(2.01) - 16(2.01²) - (42(2) - 16(2²))

= 2.48 ft/s

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Answer:

this is the answer x=-1

Experimental Probability = 2/3

To find the experimental probability that the tack lands point-up for student 4, we can use the following equation

\(\frac{Point-up}{Attempts}\\\frac{4}{6} or\frac{2}{3}\)

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Answer:

0.75

Step-by-step explanation:

The ratio for the number of egg in three boxes to the total number of egg is 1 : 10

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.

We use the ratio formula while comparing the relationship between two numbers or quantities. The general form of representing a ratio of between two quantities say 'a' and 'b' is a: b, which is read as 'a is to b'.

According to the question,

Total boxes of  eggs a farmer have = 30 boxes of egg

Number of eggs in each box = 6

Total number of eggs in 3 boxes = 6 × 3

=> 18 eggs

Total number of eggs in 30 boxes = 30 × 6

=> 180 eggs

Ratio of number of egg in three boxes to the total number of egg = 18 : 180

=> 1 : 10 is the ratio

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