Angle X = 45° and Angle Y = 45°. Find the measure of angle Z.

Answer: If Amella started with 7/8 gallon of paint in the can and used 3/8 gallons, then the amount of paint left in the can can be found by subtracting the amount used from the amount started with:

Amount left = Amount started with - Amount used

Amount left = 7/8 - 3/8

Amount left = 4/8 or 1/2 gallon

Therefore, Amella has 1/2 gallon of paint left in the can.

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

From 7 to 10 AM is THREE hours (if the times are all on the same day)

Null hypothesis: The mean number of points scored by the taller team is not significantly different from the population mean of 72.

Alternative hypothesis: The mean number of points scored by the taller team is significantly greater than the population mean of 72.

Since the population variance is unknown, we will use a t-test. The degrees of freedom for this test will be 9 (n-1), where n is the sample size of the taller team (10).

Using an alpha level of 0.05 and 9 degrees of freedom, the critical t-value is 1.833.

To calculate the test statistic, we first need to find the sample mean and standard deviation of the taller team's scores. The sample mean is 82, and the sample standard deviation is 9.89. Using these values, we can calculate the t-value:

t = (82-72) / (9.89 / sqrt(10)) = 3.19

Since the calculated t-value (3.19) is greater than the critical t-value (1.833), we reject the null hypothesis and conclude that there is a significant difference between the mean number of points scored by the taller team and the population mean of 72. The coach can therefore conclude that having a taller team does result in a greater number of points scored.

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The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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Step-by-step explanation:

=5

Answer:

49

Step-by-step explanation:

25b² + 70b + ....

( 5b + 7)² = 5×5b² + 2×5×7b + 7×7 = 25b² + 70b + 49

Answer:

Game #1B is the correct answer i guess so

Answer:

[-0.2  0.4]

[0.8   -0.6]

Answer:

Distince

I hope thats correct i have never been good at fill in da blanks

Answer:

test

Step-by-step explanation:

test

Answer:

  3·ln(x) -ln(1+x)

Step-by-step explanation:

You want to "solve" the expression ln(x³/(1+x)).

The relevant rules of logarithms are ...

  ln(a^b) = b·ln(a)

  ln(a/b) = ln(a) -ln(b)

The given log expression can be expanded as ...

  \(\ln{\left(\dfrac{x^3}{1+x}\right)}=\ln(x^3)-\ln(1+x)=\boxed{3\ln(x)-\ln(1+x)}\)

Answer:

\(m = -j\), or in this case, \(m=-(-7)\)

Step-by-step explanation:

Assuming that Justine's score is represented by \(j\) and Meagan's score is represented by \(m\), we know that \(j\) will always be the opposite of \(m\).

To represent opposite, we put a negative sign before the variable.

This makes the current number, even if it's negative, the opposite value.

Let's test it out.

Since Justine's score is -7, substituting it into the equation makes it  \(m=-(-7)\). We know that two negatives make a positive, so \(m=7\).

Now let's assume Justine's score is 7. Plugging it into the equation, we get \(m=-(7)\). That's the same thing as \(m = -1(7)\), and -1 times 7 is -7.

Hope this helped!

The minimum value of \($\|\mathbf{v}\|$\) is zero.

The minimum value of \($\|\mathbf{v}\|$\) is zero, as it is the distance between the origin and a point on the line. To solve this problem, the formula \($\|\mathbf{v}\| = \sqrt{x^2 + y^2}$\) can be used, where x and y are the coordinates of the point on the line. Since the equation of the line is \($\dbinom{10}{3} \dbinom{-2}{1}t$\), the coordinates of the point on the line can be found by substituting \($t = 0$: $x = 10 \cdot 0 - 2 \cdot 0 = 0$, and $y = 3 \cdot 0 + 1 \cdot 0 = 0$\) . Substituting these values into the formula for \($\|\mathbf{v}\|$ gives $\|\mathbf{v}\| = \sqrt{0^2 + 0^2} = 0$\). Therefore, the minimum value of \($\|\mathbf{v}\|$\) is zero.

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Answer:

30%

Step-by-step explanation:

$85 - $60 = $25

The amount of the discount = $25

percent = part/whole × 100%

percent = 25/85 × 100%

percent = 29.41%

Answer: 30%

ANSWER:

1.83%

STEP-BY-STEP EXPLANATION:

We have that the formula for the margin of error is as follows:

We plug in the value of the sample size and calculate the error value, like this:

Answer:

a) 8.3 units of length

b) 31.6 units of length

Step-by-step explanation:

a) The distances traveled by each ball are given by:

\(d_1^2=100^2+10^2=10,100\\d_1=100.5\\\\d_2^2=90^2+(-20^2)=8,500\\d_2=92.2\)

The diference between the distance traveled by both balls is:

\(d_1-d-2=100.5-92.2\\d_1-d_2=8.3\)

The first ball traveled 8.3 units of length farther than the second ball.

b) The distance between both balls is:

\(d^2=(i_1-i_2)^2+(j_1-j_2)^2\\d^2=(100-90)^2+(10-(-20))^2\\d^2=1,000\\d=31.6\)

The balls are 31.6 units of length apart.

Answer:

C, For every x in the real numbers

Step-by-step explanation:

x - 2x + 12 + x - 12 = 0

x - 2x + x = 0

0=0, For every x!

The surface area of the solid formed is approximately, 598.3 in².

Surface area of the solid is the area covered by the solid all round.

The given parameters are:

Surface area of the solid formed = 5(10×10) + (0.5×10×8.67) + 3(10×1.83) = 598.3 in²

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Answer:

the value is

Step-by-step explanation:

=3(5.10+2)

=3(7.1)

=21.3

Answer:

3(5. 10+2)

Step-by-step explanation:

3(5.12)

3(60)

180

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

I'm pretty sure it is

Step-by-step explanation:

Answer:

A is the answer

Step-by-step explanation:

Anytime a number is being divided by 10 it moves to the left creating a decimal.Example : 5÷10 = 0.5 , 500÷10 = 50

Anytime a number is being multiplied by 10 the number increases with a 0. Example : 5 × 10 =50

I hope this helped

Answer:

A

Step-by-step explanation:

When it comes to division, we usually move to the left, but multiplication is to the right. Then it is division by 10, which has only one zero, so we move once to the left.

Option (b) is the correct option i.e. The height is 5 units.

The height of an object is determined by measuring the distance between its base and its top.

As opposed to length, width, and height for a rectangular shape's area, the basic formula for volume is length, breadth, and height. The calculation is unaffected by how the different dimensions are referred to; for example, "depth" can be used in place of "height."

Given, V = πr².H

          V/πr² = H

So, It can be written in terms of height, H as V/πr².

Now, If r = 3 units and V= 45π then,

H =   V/πr² = 45π / π(3)²

                = 45π/9π

                = 5 units.

Hence, height is 5 units.

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Answer:

30°

Step-by-step explanation:

4x-12 = 108

4x = 120

x=30

4(30)-12 = 108 (Just to check)

120-12 =108

108=108

the absolute value function written as a piecewise function is:

f(x) = x + 8      if     x ≥ -8

f(x) = -(x + 8)     if    x + < -8

The absolute value function:

y = |x|

works as follows:

That is a piecewise function.

Now, in our case:

f(x) = |x + 8| can be rewritten to:

f(x) = x + 8      if     (x + 8) ≥ 0

f(x) = -(x + 8)     if    (x + 8) < 0.

Now we should simplify the inequalities, so we get:

f(x) = x + 8      if     x ≥ -8

f(x) = -(x + 8)     if    x + < -8

Here we have the absolute value function written as a piecewise function.

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The selection can be made in 15 different ways, taking into account the distinct combinations of a boy and a girl from the given group of 5 boys and 3 girls.

To determine the number of ways a boy and a girl can be selected from a group of 5 boys and 3 girls to attend a conference, we can use the concept of combinations.

The number of ways to choose one boy from 5 boys is 5C1, which is equal to 5. Similarly, the number of ways to choose one girl from 3 girls is 3C1, which is equal to 3.

To select one boy and one girl, we need to multiply the number of ways to choose a boy and a girl together. Using the multiplication principle, we multiply the number of choices for each category: 5C1 * 3C1 = 5 * 3 = 15.

Therefore, there are 15 ways to select a boy and a girl from the given group to attend the conference.

Each combination represents a unique pair consisting of one boy and one girl. For example, if the boys are labeled as B1, B2, B3, B4, and B5, and the girls are labeled as G1, G2, and G3, the possible pairs could be (B1, G1), (B1, G2), (B1, G3), (B2, G1), (B2, G2), and so on, up to (B5, G3).

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The distance of the helicopter from the Northbound car is approximately 1230.87 feet and the distance of the helicopter from the Southbound car is approximately 2254.31 feet.

Given:A helicopter with an altitude of 800 feet is flying over a highway and spots two cars traveling in opposite directions, North and South. At a particular time,

the distance between the two cars is 1,450 feet.To find: The distance of the helicopter from the Northbound car and the Southbound car respectively.Solution:

Let A and B be the two cars, and C be the helicopter.Let AC = h be the altitude of the helicopterAB = x be the distance between the two cars. ThenBC = x/2

Distance of the helicopter from the Northbound car:Let D be the foot of the perpendicular from C to AB.In right ΔACD,

using Pythagoras theorem, we haveAD2 + CD2 = AC2AD2 + (x/2)2 = h2AD2 = h2 - (x/2)2AD = √(h2 - x2/4)Therefore, Distance of the helicopter from the Northbound car = AD + DN= √(h2 - x2/4) + x/2 ...................(1)

Distance of the helicopter from the Southbound car:Let E be the foot of the perpendicular from C to AB.In right ΔBCE, using Pythagoras theorem, we haveBE2 + CE2 = BC2BE2 + (x/2)2 = (x/2 + 1450)2BE2 = (x/2 + 1450)2 - x2/4BE = √((x/2 + 1450)2 - x2/4)

Therefore, Distance of the helicopter from the Southbound car = BE + ES= √((x/2 + 1450)2 - x2/4) + x/2 ...................(2)Since the altitude of the helicopter is 800 feet,hence, using Pythagoras theorem,

we have (from the ΔACE)AC2 + CE2 = AE2h2 + (x/2)2 = AE2AE2 = h2 + x2/4Distance covered by the two cars in the particular time = x = speed × timeLet the speed of each car be y miles/hour.

Then the distance covered in one hour is y miles and in t seconds it is ty/3600 miles.

At that particular time, the distance between the two cars is 1450 feet.∴ ty/3600 × 5280 = 1450 feet⟹ ty = 1450 × 3600/5280 feet⟹ ty = 990 feetPutting the value of x = 990 feet in equations (1) and (2),

we getDistance of the helicopter from the Northbound car= √(8002 - 9902/4) + 990/2= 1230.87 feet (approx)

Distance of the helicopter from the Southbound car= √((990/2 + 1450)2 - 9902/4) + 990/2= 2254.31 feet (approx)

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Answer:

Step-by-step explanation:

La ecuación y = -7x - 5 es una ecuación lineal en la forma y = mx + b, donde "m" es la pendiente y "b" es el punto de intersección en el eje y. Por lo tanto, podemos identificar la pendiente y el punto de intersección de la línea directamente de la ecuación.

Pendiente:

La pendiente "m" de la línea se encuentra en el coeficiente que acompaña a "x" en la ecuación de la línea. En este caso, la pendiente es "-7", por lo que la pendiente de la línea es -7.

Punto de intersección:

El punto de intersección "b" se encuentra en el término independiente de la ecuación de la línea, que es el número que no tiene una "x" al lado. En este caso, el punto de intersección es "-5", por lo que la línea cruza el eje y en el punto (0,-5).

Por lo tanto, la pendiente de la línea es -7 y el punto de intersección es (0,-5).

Answer: Y-intercept: -5, Slope of the line: -7 or -7/1

Step-by-step explanation:

The equation for the slope is y=mx+b.

m= slope of the line

b= y-intercept

So when you take the equation y=-7x-5, you take out those plugged in values.

So the slope of the line is -7 (or -7/1) and the y-intercept is -5.