What the heck is this?

Answer:

Mikaela's team scored 5.3 points, in whole number form 5.

Step-by-step explanation:

If Viktoria's team's score was 7, 2 more than twice is (7*2) +2.

(7*2)+2=16

16 is three times Mikaela's team's score. Reduced by three means just to divide.

16/3=5.3

Mikaela's team scored 5 points.

Hope this helps!

If not, I am sorry.

Answer:

8

Step-by-step explanation:

Make it into an equation.

2x+2=(3x7)-3

2x+2=21-3

2x+5=21

2x=16

x=8

8

Answer: C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

For every minute there is 20 cents added. So that sorta explains ot all lol. Anyways hope this help you in the future and makes you even better at undertsnading these problems. Have a wonderful day/night!

Step-by-step explanation:

x-axis intercept occurs when y = 0  ( obviously)

5x  - 4(0) = - 4

5x = - 4

x = - 4/5

\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill &\stackrel{40\%~of~P}{0.4P~~~~}\\ P=\textit{initial amount}\dotfill &P\\ r=rate\to 22.5\%\to \frac{22.5}{100}\dotfill &0.225\\ t=\textit{elapsed time}\\ \end{cases} \\\\\\ 0.4P=P(1-0.225)^t\implies \cfrac{0.4P}{P}=(1-0.225)^t\implies 0.4=0.775^t\)

\(\log(0.4)=\log(0.775^t)\implies \log(0.4)=t\log(0.775) \\\\\\ \cfrac{\log(0.4)}{\log(0.775)}=t\implies \stackrel{\textit{about 3years, 215days and 8hrs}}{3.59\approx t}\)

so at that time the value is 40% of its original value, I guess is less than that a minute or an hour later.

Answer:

the exponent is -8, since when you're dividing these with teh same base, in this case 9, you just have to subtract the exponents, so it's 9^-8

Step-by-step explanation:

9514 1404 393

Answer:

  1/9^8

Step-by-step explanation:

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

__

  \(\dfrac{9^{-5}}{9^3}=\dfrac{1}{9^5\cdot9^3}=\dfrac{1}{9^{5+3}}=\boxed{\dfrac{1}{9^8}}\)

\(y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+\underset{\underset{\textit{\small b }}{\uparrow }}{5}\implies y=-x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

Answer: original price = p

price after first 24% discount = .75p

he second 25% discount reduces the already reduced price to .75*.75p = .5625p

So, if .5625p = 16,

p = 16/.5625 = $28.44

check:

25% off $28.44 = $21.33

25% off $21.33 = $16.00

Answer:

They are not Congruent = A

Step-by-step explanation:

Its not congruent because the left one is slightly a little bit bigger than the right. If you look close enough you can see that. Plus if you add the lines together the right one is slightly tilted.

Answer:

option (D) is the answer

Answer:

\(-4x^{2} + 6x + 4\)

Answer choice D

Step-by-step explanation:

So the answer is 1.3 after rounding to 10.

The probability that a student's score is above 40 percent is 60%.

To find the probability that a student's score is above 40 percent when answers are uniformly distributed between 0 and 100 percent, you can use the following method:
Since the distribution is uniform, the probability density is constant for all values between 0 and 100 percent. The range of interest is from 40 to 100 percent. Calculate the length of this range by subtracting the lower limit from the upper limit:
Range = 100 - 40 = 60 percent
Now, divide the range of interest by the total possible range (0 to 100 percent):
Probability = (Range of interest) / (Total range) = 60 / 100 = 0.6 or 60%
So, the probability that a student's score is above 40 percent is 60%.

To know more about probability visit:

https://brainly.com/question/30034780

#SPJ11

Answer:

Choice 1) 181.5 mm

Step-by-step explanation:

41.5+55+85 = 181.5

The cell that is indicated by the arrow on the right would fall into population c of the circled areas.

We know that the scatterplot that is pictured below represents results from a normal peripheral blood sample that was analyzed using flow cytometry, the cell that is indicated by the arrow on the right would fall into population c of the circled areas.

Red blood cells are equipped with iron, which binds to oxygen molecules and enables them to be transported throughout the body. In terms of immunity, these cells break down in the presence of harmful pathogens, releasing free radicals that can help to destroy them. Leukocytes play a crucial role in fighting off disease and foreign invaders. Granulocytes, including eosinophils, basophils, and neutrophils, are responsible for battling fungi, bacteria, and parasites, as well as responding to allergic reactions. Meanwhile, the agranulocytes, which include monocytes, lymphocytes, and macrophages, differentiate into macrophages and target B cells, T cells, and natural killer cells, while also performing the important function of phagocytosis. Thrombocytes are responsible for maintaining the body's blood volume and preventing bleeding by promoting clot formation. This process is known as hemostasis. Finally, blood plasma serves as the transport medium for all of the components of peripheral blood, with carbon dioxide playing a key role in enabling the removal of waste and other excretory matter from the body.

The circulating blood of the body is known as peripheral blood. It is comprised of red blood cells, white blood cells, and platelets. These cells are suspended in plasma and circulated throughout the body.

To learn more about areas, click here:

brainly.com/question/27683633

#SPJ4

Answer:

Step-by-step explanation:

The trigonometric function gives the ratio of different sides of a right-angle triangle.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

\(\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\\)

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.

Given for ∠X, the base side is 7, the perpendicular side is 4√2, while the hypotenuse side is 9. Therefore, the value of the trigonometric ratios are:

\(\rm Sin X=\dfrac{4\sqrt2}{9}\\\\\\Cos X=\dfrac{7}{9}\\\\\\tan X=\dfrac{4\sqrt2}{7}\)

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

#SPJ2

0.94 is the probability that the HR director will select an employee who is not a multiple of 13.

The probability that the HR director will select an employee who is not a multiple of 13 is the number of employees who are not multiples of 13 divided by the total number of employees.

There are 50 employees in total, and there are 50/13 = 3 employees who are multiples of 13.

So the number of employees who are not multiples of 13 is 50 - 3 = 47.

Thus, the probability that the HR director will select an employee who is not a multiple of 13 is 47/50.

Simplifying this fraction, we find that the answer is 47/50 = 94/100 i.e. 0.94 is the probability that the HR director will select an employee who is not a multiple of 13.

For more such questions on probability: brainly.com/question/25870256

#SPJ4

(A) sample of 13 mature female pink seaperch was collected in winter, with a mean length of 109 millimeters and a standard deviation of 11 millimeters.

(B)  The critical value(s) and rejection region(s) are determined based on the significance level of 0.10 and the degrees of freedom

(c) The standard test statistic, also known as the t-value, is calculated using the formula:

t = (mean₁ - mean₂) / sqrt[(s₁²/n₁) + (s₂²/n₂)]

In order to determine whether the mean length of mature female pink seaperch is different in fall and winter, a hypothesis test is conducted with a significance level (alpha) of 0.10. The marine biologist collected a sample of 14 mature female pink seaperch in fall, with a mean length of 113 millimeters and a standard deviation of 10 millimeters. Another sample of 13 mature female pink seaperch was collected in winter, with a mean length of 109 millimeters and a standard deviation of 11 millimeters.

To support or refute the biologist's claim, the following steps are taken:

(b) The critical value(s) and rejection region(s) are determined based on the significance level of 0.10 and the degrees of freedom. Since the sample sizes are relatively small and the population variances are assumed to be equal, the appropriate test statistic to use is the t-distribution. The critical values are obtained from the t-distribution table or a statistical software. The rejection region(s) correspond to the extreme values in the tails of the t-distribution.

(c) The standard test statistic, also known as the t-value, is calculated using the formula:

t = (mean₁ - mean₂) / sqrt[(s₁²/n₁) + (s₂²/n²)]

where mean₁ and mean₂ are the sample means, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes.

By plugging in the given values, the standard test statistic is calculated.

In order to reach a conclusion about the biologist's claim, the test statistic is compared to the critical value(s) obtained in step (b). If the test statistic falls in the rejection region, the null hypothesis (mean length is the same in fall and winter) is rejected, providing support for the biologist's claim. Conversely, if the test statistic falls outside the rejection region, there is not enough evidence to support the claim, and the null hypothesis cannot be rejected.

Learn more about test Statistic:

brainly.com/question/31746962

#SPJ11

The initial force between the two charges is given by:

\(F=k\frac{q_{1} q_{2} }{d^2}\)

where k is Coulomb's constant, q1 and q2 are the two charges, and d is their separation. Let's analyze now the other situations:

1. F

In this case, q1 is halved, q2 is doubled, but the distance between the charges remains d.

So, we have:

q'₁=q₁/2

q'₂=2q₂

d'=d

So, the new force is:

\(F'=k\frac{q'_{1}q'_{2} }{d^2} \\\\F'=k\frac{(\frac{q_{1} }{2})(\frac{q_{2} }{2}) }{d^2} \\\\F'=k\frac{q_{1}q_{2} }{d^2} =F\)

So the force has not changed.

2. F/4

In this case, q1 and q2 are unchanged. The distance between the charges is doubled to 2d.

So, we have:

q'₁=q₁

q'₂=q₂

d'=2d

So, the new force is:

\(\\F'=k\frac{q'_{1} q'_{2} }{d^2} \\\\F'=k\frac{q_{1}q_{2} }{2d^2} \\\\F'=\frac{1}{4} k\frac{q_{1}q_{2} }{d^2} \\\\F'=\frac{F}{4}\)

So the force has decreased by a factor of 4.

3. 6F

In this case, q1 is doubled and q2 is tripled. The distance between the charges remains d.

So, we have:

q'₁=2q₁

q'₂=3q₂

d'=d

So, the new force is:

\(F'=k\frac{q'_{1} q'_{2} }{d^2} \\\\F'=k\frac{2q_{1}3q_{2} }{d^2}\\ \\F'=6k\frac{q_{1}q_{2} }{d^2} =6F\)

So the force has increased by a factor of 6.

To know more about the distance between charges:

https://brainly.com/question/12288272

#SPJ4

Answer:

1. F

2. F/4

3. 6F

Answer:

Week 1 and Week 2.

Step-by-step explanation:

two because there is 11 people in total and you have two 4 person groups so that would leave 3 people left and you cant make a 4 person group w 3 people

Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.

If in a jail cell, there are 5 Democrats and 6 Republicans, the possible ways to form a group of 4 is 330.

The number of possible groups is 330.

Combination is a way of arranging the required items from a collection of items where the order of selection is not relevant.

It is given as:

\(^nC_r = \frac{n!}{r!(n-r)!}\)

We have,

The total number of people:

5 Democrats and 6 Republicans = 5 + 6 = 11.

The number of persons in a group = 4.

The number of groups possible are:

= \(^{11}C_4\)

= 11! / 4! ( 11-4)!

= 11! / 4! 7!

= 11 x 10 x 9 x 8 / 4 x 3 x 2

= 330

Thus,

The number of possible groups is 330.

Learn more about combination here:

brainly.com/question/2970011

#SPJ2

Answer:

37/20

Step-by-step explanation:

1/1 -> 20/20

20/20 + 17/20

20 + 17 = 37

so 37/20

Answer

A' (-1, -2)

B' (-8, 1)

C' (-2, 7)

Explanation

A translation represented by a row matrix in form T (a, b) moves the x-coordinate by a units and the y-coordinate by b units. So, a coordinate given by A (x, y) and translated by T (a, b), changes the coordinates to A' (x + a, y + b)

So, for this question, where the coordinates are given, and the translation is by T (-5, 3), the new coordinates become

A (4, -5) = A' (4 - 5, -5 + 3) = A' (-1, -2)

B (-3, -2) = B' (-3 - 5, -2 + 3) = B' (-8, 1)

C (3, 4) = C' (3 - 5, 4 + 3) = C' (-2, 7)

Hope this Helps!!!

Answer:

x = 2

x = 1/2

Step-by-step explanation:

To solve the given equation (x-2)(2x-1) = 0, we need to find the values of 'x' that make the left-hand side of the equation equal to zero. For this, we need to use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.

Using the zero product property, we can set each factor equal to zero and solve for 'x'.

First factor: x - 2 = 0

Adding 2 to both sides, we get:

x = 2

Second factor: 2x - 1 = 0

Adding 1 to both sides, we get:

2x = 1

Dividing by 2 on both sides, we get:

x = 1/2

Therefore, the solutions to the given equation (x-2)(2x-1) = 0 are x = 2 and x = 1/2.

We can verify our solutions by plugging them back into the original equation and checking if the left-hand side equals zero.

When x = 2, we have:

(x-2)(2x-1) = (2-2)(2(2)-1) = 0, which is true.

When x = 1/2, we have:

(x-2)(2x-1) = (1/2-2)(2(1/2)-1) = (-3/2)(0) = 0, which is also true.

Therefore, our solutions are correct.

FYI, you could've also multiplied the polynomials to get a quadratic equation, though this is terribly inefficient for this case.

Answer:

In short, to solve the equation (x-2)(2x-1) = 0, we use the zero product property by setting each factor equal to zero and solving for x. The solutions are x = 2 and x = 1/2.

Step-by-step explanation:

The equation (x-2)(2x-1) = 0 can be solved by finding the values of x that make the left-hand side of the equation equal to zero.

To do this, we can use the zero product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero.

Therefore, we set each factor equal to zero and solve for x:

x-2 = 0 or 2x-1 = 0

Solving each equation for x, we get:

x = 2 or x = 1/2

So the solutions to the equation (x-2)(2x-1) = 0 are x = 2 and x = 1/2.

Answer:

x^2 +2x -15

Step-by-step explanation:

FOIL

(x-3)(x+5)

first x*x = x^2

outer 5x

inner -3x

last -3*5 = -15

Add them together

x^2 +5x-3x-15

Combine like terms

x^2 +2x -15

a) "You will get an A in this course if and only if you learn how to solve discrete mathematics problems."
b) "You will be informed if and only if you read the newspaper every day."
c) "It will rain if and only if it is a weekend day."
d) "You can see the wizard if and only if the wizard is not in."
e) "My airplane flight will be late if and only if I have to catch a connecting flight."

These propositions are written in the form "p if and only if q" in English, which means that both p and q must be true for the entire statement to be true.

This form is also known as a biconditional statement, and it is often used in logic and mathematics to express the relationship between two propositions.

To know more about biconditional statement click on below link:

https://brainly.com/question/8663998#

#SPJ11

Answer:

\(\huge \boxed{430=2 \times 5 \times 43}\)

Step-by-step explanation:

Using factor tree,

Answer:

\(\large\boxed{2, 5, 43}\)

Step-by-step explanation:

                                                          430

                                                      /             \

                                                  215              2

The 2 cannot be factorized anymore, so I will put a small box around it.

                                                          430

                                                      /             \

                                                  215            \(\boxed{2}\)

                                                  /  \                

                                             43     5

5 and 43 cannot be factorized any smaller.

                                                          430

                                                      /             \

                                                  215            \(\boxed{2}\)

                                                  /  \                

                                             \(\boxed{43}\)     \(\boxed{5}\)

The prime factorization is the numbers in the boxes, which are 2, 5, and 43.

\(\large\boxed{2, 5, 43}\)

Hope this helps :)

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

If the formatting is not showing up correctly, please refer to the images of my answer below instead.

Dividing two polynomials may produce another polynomial only when the divisor has a lower degree than the dividend. Otherwise, it will generally result in a rational function.

No, dividing two polynomials may not result in another polynomial. It can produce a rational function.

A polynomial is an algebraic expression consisting of terms with non-negative integer exponents. When two polynomials are divided, the result is not always a polynomial.

If the degree of the polynomial being divided (dividend) is higher than the degree of the polynomial dividing (divisor), then the result can be a polynomial with a lower degree. However, if the degree of the divisor is equal to or greater than the degree of the dividend, the result will generally be a rational function, which is a ratio of two polynomials.

A rational function has the form P(x)/Q(x), where P(x) and Q(x) are polynomials and Q(x) is not equal to zero. The division can introduce terms with negative or fractional exponents, making the result a rational function rather than a polynomial.

For more such questions on polynomial

https://brainly.com/question/1496352

#SPJ8

The equation of the sphere with center (-5, 1, 5) and radius 7 is

\(x^{2} +y^{2} +z^{2} +10x-2y-10z+2=0\) . The intersection of the sphere with the yz-plane is given by the equation \(y^{2} +z^{2} -2y-10z+2=0\).

To find the equation of the sphere with a center (-5, 1, 5) and radius of 7, we can use the general equation of a sphere:
\((x-h)^{2} +(y-k)^{2} +(z-l)^{2} =r^{2}\)   where (h, k, l) is the center of the sphere, and r is the radius.

Substituting the given values, we have:

\((x+5)^{2} +(y-1)^{2} +(z-5)^{2} =7^{2}\)

Expanding and simplifying, we get:

\(x^{2} +y^{2} +z^{2} +10x-2y-10z+2=0\)

Therefore, the equation of the sphere with center (-5, 1, 5) and radius 7 is

\(x^{2} +y^{2} +z^{2} +10x-2y-10z+2=0\)

Now, let's find the intersection of this sphere with the yz-plane, which means we need to find the values of y and z when x is zero (x = 0).

Substituting x = 0 into the equation of the sphere, we have:

\(y^{2} +z^{2} -2y-10z+2=0\)

Since we're looking for the intersection with the yz-plane, we can set x = 0 in the equation of the sphere. The resulting equation is \(y^{2} +z^{2} -2y-10z+2=0\)

Therefore, the intersection of the sphere with the yz-plane is given by the equation \(y^{2} +z^{2} -2y-10z+2=0\).

Learn more about sphere;

https://brainly.com/question/31186589

#SPJ4

Let's take any 2 points from the line.

1. (-4,-2)

2. (-2,-7)

\(slope \\ = \frac{Δy}{Δx} \\ = \frac{y_{2} - y_1}{x_{2} - x_1} \\ = \frac{ 7 - ( - 2)}{ - 2 - ( - 4)} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} \\ = 2.5\)