High interest rates on savings accounts encourage people to _____. A. spend less B. save less C. save more D. spend more

Step-by-step explanation:

Let the numbers be x and y

2 consecutive even nos.

therefore y = x+2

twice of the first (2x) is 46 more than y

2x = y+46

Solving both the equations

x - y + 2 = 0

(-)2x - y - 46 = 0

____________

-x + 0 + 48 = 0

____________

x = 48

y = x+2

= 48 +2

= 50

Therefore the 2 nos. are 48 and 50

Hope this answers helps you

The domain of the function f(x) = log_b(x) in interval notation is (0, +∞). The range of the function depends on the base b.

The domain of the logarithmic function f(x) = log_b(x) is determined by the requirement that the argument of the logarithm, x, must be positive. Since the logarithm is undefined for zero and negative numbers, the domain excludes these values. Therefore, the domain is expressed in interval notation as (0, +∞), where the parentheses indicate that zero is not included and the positive infinity symbol indicates that the domain extends indefinitely towards positive numbers.

The range of the logarithmic function depends on the base b. If the base b is greater than 1, the function can output any real number as the exponent increases or decreases, leading to a range of (-∞, +∞), covering all possible real numbers. However, if the base b is between 0 and 1, the logarithmic function only outputs negative numbers. As the exponent increases or decreases, the value of the logarithm approaches negative infinity, resulting in a range of (-∞, 0). This signifies that the range consists of all negative real numbers, but does not include zero or positive numbers.

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Answer:

v=5  

Step-by-step explanation:

are u asking to solve for v

well if so

9/3=3

v+3=8

subtract 3 both sides

v=5  

Answer:

V = 15

Step-by-step explanation:

v + 9 / 3 = 8

3(v+9) / 3 = 8 x 3

v + 9 = 24

v + 9 - 9 = 24 - 9

v = 15

Answer:

How are we supposed to know what X is

Step-by-step explanation:

This doesn't make sense emphasize more

Answer:x=23 because 23-4=19 which equals to one side of the triangle

Step-by-step explanation:

Uhmm I got it right :D

The pipe meets the ground at an angle of about 54.2 degrees according to trigonometry.

Trigonometry is a branch of mathematics that deals with the study of relationships between the sides and angles of triangles. It includes the use of trigonometric functions such as sine, cosine, and tangent, as well as their inverses and their applications in various fields such as engineering, physics, and astronomy. Trigonometry is used to solve problems involving angles and distances in triangles, and it has many practical applications in fields such as navigation, surveying, and construction.

In the given question,

Using trigonometry, we can solve for the height of the ladder against the pipe as follows:

sin(56.4°) = height of ladder / length of ladder

sin(56.4°) = h / 12

h = 12 sin(56.4°)

h ≈ 9.79 feet

Therefore, the top of the ladder is about 9.79 feet off the ground.

Now we can use trigonometry again to find the angle between the pipe and the ground:

tan(θ) = height of ladder / distance from base of pipe to ladder

tan(θ) = 9.79 / 7

θ = tan⁻¹(9.79/7)

θ ≈ 54.2°

Therefore, the pipe meets the ground at an angle of about 54.2 degrees.

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Explanation:

One large square cake cuts into 4 smaller slices

Since we have 5 such cakes that are cut like this, we have 5*4 = 20 slices all together.

Count the number of dark shaded slices that are shown in the lower diagram. We have 4+3+4+2 = 7+6 = 13 slices of cake that are left over. This must mean the class ate 20-13 = 7 slices.

The fraction of the cakes eaten is 7/20

Notes:

The solution is, the scale factor of the dilation that maps Triangle ABC onto triangle XYZ is √2.

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

given that,

Triangle ABC has vertices A (-1, 2), B (5, 2), and C (5,-3)

and triangle XYZ has vertices X(-0.5, 1), Y(2.5, 1), and 2(2.5, "-1.5)."

now, we now that,

distance formula:

d=√(x2−x1)^2+(y2−y1)^2

so, we get,

length of AB = 3√2

and, length of XY = 3

so, scale factor = AB/XY

                          =3√2/3

                          =√2

Hence, The solution is, the scale factor of the dilation that maps Triangle ABC onto triangle XYZ is √2.

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Answer:

The statement that a line without a slope never touches the y-axis is incorrect. To prove this, a horizontal line (a line with a slope of zero) would touch the y-axis. For example, the equation of a horizontal line, y = 4, would touch the y-axis at y = 4.

Therefore, the probability of being dealt a full house in a 5-card poker hand is approximately 0.00144 or 0.144%.

To calculate the probability of being dealt a full house in a 5-card poker hand, we need to consider the total number of possible hands and the number of favorable hands (full houses).

Total number of possible hands:

There are 52 cards in a standard deck, and we choose 5 cards for our hand. So, the total number of possible hands is given by the combination formula:

C(52, 5) = 52! / (5! * (52 - 5)!)

= 2,598,960

Number of favorable hands (full houses):

To form a full house, we need to consider the choices for the three cards of one denomination and the two cards of another denomination.

Number of choices for the denomination of three cards: We have 13 denominations (2, 3, 4, ..., 10, J, Q, K, A) to choose from.

Number of ways to choose the three cards of one denomination: We have 4 cards of each denomination in a deck. Therefore, we have C(4, 3) = 4 ways to choose three cards of one denomination.

Number of choices for the denomination of two cards: We have 12 remaining denominations (since we already used one for the three cards).

Number of ways to choose the two cards of another denomination: We have C(4, 2) = 6 ways to choose two cards of another denomination.

To calculate the total number of favorable hands, we multiply these choices:

Number of favorable hands = 13 * C(4, 3) * 12 * C(4, 2) = 13 * 4 * 12 * 6

= 3,744

Now we can calculate the probability by dividing the number of favorable hands by the total number of possible hands:

Probability of getting a full house = Number of favorable hands / Total number of possible hands

= 3,744 / 2,598,960

≈ 0.00144

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Answer:

When you use a debit card, the funds for the amount of your purchase are taken from your checking account in almost real time. When you use a credit card, the amount will be charged to your line of credit, meaning you will pay the bill at a later date, which also gives you more time to pay.

Divide the distance traveled by the wheel to guess the value or estimate the value of π.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.

Given

Height of the wheel = 198

Perimeter of the wheel = 63

Height of the wheel is the diameter of the circle

Perimeter of the circle is  π × diameter of the circle

P = \(\pi\) × d

198 = \(\pi\) × 63

\(\pi\) = \(\frac{198}{63}\)

\(\pi\) = 3.14

Hence, Divide the distance traveled by the wheel to guess the value or estimate the value of π.

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Answer: 36°

Step-by-step explanation: 360° ÷ 10 = 36°.

Espero que esto te ayude!!

Answer:

The value of x is 15

Step-by-step explanation:

2x + 3(x - 10) = 45

2x + 3x - 30 = 45

5x - 30 = 45

Now, Add 30 both sides we get,

5x - 30 + 30 = 45 + 30

5x = 75

Now, Divide 5 from both sides we get,

5x/5 = 75/5

x = 15

Thus, The value of x is 15

Hence, Option A is correct

-TheUnknownScientist

Answer:

Both are correct

Step-by-step explanation:

since there are 6 students playing volleyball, and 9 are playing basketball. the ratio of students playing basketball to volleyball is 6:9 and the ratio of students playing volleyball to basketball is 9/6. they didint get the same answer because they have reversed ratios.

hope this helped! :)

In the experiment, the independent variable is the amount of sunlight received by the clover plants.

The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.

The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.

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Answer:

9,375

Step-by-step explanation:

7,500*.25= 1,875

7,500+1,875=9,375

Minimal polynomial of E:The matrix E is not diagonalizable since it has only one eigenvalue λ = 0. The minimal polynomial of E is m(E) = λ.

Given matrices are A = 4 -2 2-2 2 23 2 -1 -1 3B = 6 4 4-4 6 0 23C = 7 -2 2 50 0 3D = E = 0 2 30 0 3The characteristic polynomial of a matrix A is given as det(A - λI),

where λ is the eigenvalue and I is the identity matrix. Similarly, the minimal polynomial is the smallest polynomial p such that p(A) = 0.Let's find the characteristic polynomials of given matrices one by one.A = 4 -2 2-2 2 23 2 -1 -1 3.

The characteristic polynomial of matrix A can be calculated as follows:|A - λI| = det(4 - λ, -2, 2, -2, 2 - λ, 2, -1, -1, 3 - λ)Expanding the determinant, we get:λ³ - 9λ² + 26λ - 24 = (λ - 3)(λ - 2)²

Thus, the characteristic polynomial of A is λ³ - 9λ² + 26λ - 24. Minimal polynomial of A:Since the matrix A is diagonalizable, it has minimal polynomial m(A) = (λ - 3)(λ - 2).B = 6 4 4-4 6 0 23. The characteristic polynomial of matrix B can be calculated as follows:|B - λI| = det(6 - λ, 4, 4, -4, 6 - λ, 0, 2, 3, λ)Expanding the determinant, we get:λ³ - 12λ² + 52λ - 72 = (λ - 4)²(λ - 9)

Thus, the characteristic polynomial of B is λ³ - 12λ² + 52λ - 72.Minimal polynomial of B:The matrix B is diagonalizable, it has minimal polynomial m(B) = (λ - 4)(λ - 9).C= 7 -2 2 50 0 3The characteristic polynomial of matrix C can be calculated as follows:|C - λI| = det(7 - λ, -2, 2, 5, -λ, 3, 0, 0, 3 - λ)

Expanding the determinant, we get:λ³ - 8λ² + 23λ - 21 = (λ - 3)(λ - 1)²Thus, the characteristic polynomial of C is λ³ - 8λ² + 23λ - 21.

Minimal polynomial of C:The matrix C is not diagonalizable since it has only one eigenvalue λ = 1.

The minimal polynomial of C is m(C) = (λ - 1)³.D = 0 2 30 0 3The characteristic polynomial of matrix D can be calculated as follows:|D - λI| = det(-λ, 2, 3, 0, 3 - λ)Expanding the determinant, we get:λ² - 3λ = λ(λ - 3).

Thus, the characteristic polynomial of D is λ² - 3λ.Minimal polynomial of D:The matrix D is not diagonalizable since it has only one eigenvalue λ = 0.

The minimal polynomial of D is m(D) = λ.E = 0 0 30 0 3. The characteristic polynomial of matrix E can be calculated as follows:|E - λI| = det(-λ, 0, 3, 0, 3 - λ) Expanding the determinant, we get:λ² - 3λ = λ(λ - 3)Thus, the characteristic polynomial of E is λ² - 3λ.

Minimal polynomial of E:The matrix E is not diagonalizable since it has only one eigenvalue λ = 0. The minimal polynomial of E is m(E) = λ.

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If the sample consists of n=16 scores, two scores are used to calculate the range.

A sample is a statistical term for a subset of a population or an entire set of data. A sample (signal) is a digitally discrete sample taken from a continuous analog signal. A sample is a specimen or a tiny quantity of something. An example of a pixel and color channel in graphics. A sample is a condensed, controllable portion of a larger group. It is a subset of people that shares traits with a wider population. The Simple Random Sampling method is one of the greatest probability sampling approaches that aids in time and resource savings. When every single person in a population is chosen at random, just by chance, it is an effective way to gather information.

We know that,

Range=Maximum value=Minimum value

Given that,

A sample consists of n=16 scores.

For calculating the range we need only two scores.

Those scores are maximum score and minimum score.

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Answer:

Step-by-step explanation:

Given it's a regular poligon, we calculate its angles as follows :

There to distribute three different teddy bears and nine identical lollipops to four children is a) 14080,

Since we have given that Number of teddy bears = 3

Number of identical lollipops = 9

Therefore, the Total number of things

= 3+9

=12

Number of children = 4

(a) Without restriction?

A number of ways would be 4³ x 12c3

= 14080

Therefore, a) 14080,

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Answer:

20 containers

Step-by-step explanation:

Given:

D = 0.07N

Where,

D = Amount of deposits

N = Number of containers

If D = $1.40 find N

D = 0.07N

1.40 = 0.07N

Divide both sides by 0.07

N = 1.40 / 0.07

= 20

N = 20 containers

if you deposit $1.40, you will buy a total of 20 containers.

Answer:

x=10, x=-2

Step-by-step explanation:

x^2-5x-3x+15=35

x^2-8x-20=0

Multiply to -20, add to -8: -10, 2

(x-10)(x+2)=0

x=10, x=-2

Answer:

x = −2 or x = 10

Step-by-step explanation:

(x - 3)(x - 5) = 35

x^2 − 8x + 15 = 35

x^2 − 8x + 15 − 35 = 35 − 35

x^2 − 8x − 20 = 0

(x+2)(x−10) = 0

x + 2 = 0 or x − 10 = 0

x = −2 or x = 10

I hope this helps! May I please have brainliest? :)

Answer:

y+3x=6

Step-by-step explanation:

The three division expressions that are each equivale to 35.78 ÷ 6 is 0.5933\(\times10^1\), 59.33\(\times10^{-1}\) and 59.33\(\times10^{-2}\).

In the given question we have to use the powers of 10 to write three division expressions that are each equivale to 35.78 ÷ 6.

The given expression is 35.78 ÷ 6

To express in power of 10 we have to firstly simplify the given expression.

To simplify the given expression we have to divide the 35.78 by 6.

So 35.78 ÷ 6 =5.9633

To express in the power of 10 we move the decimal point left and right.

When we move left the power is positive and when move right power is negative.

The first expression is 0.5933\(\times10^1\)

The second expression is 59.33\(\times10^{-1}\)

The third expression is 593.3\(\times10^{-2}\)

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The equation of the circle is given as follows:

x² + y² = 2704.

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

The center is the position of the transmitter site, hence it is at the origin.

As stated in the problem, the radius of the circle is given as follows:

r = 52 miles.

Hence the equation of the circle is given as follows:

x² + y² = 52²

x² + y² = 2704.

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Answer:

I choose option C

Step-by-step explanation:

I really not sure.

sort of 50/50.

so if I am right plz give brainliest

Answer: The answer is B

Step-by-step explanation:

I had the same test

Check the picture below.