Ben has 7 more baseball cards than Sara. Sara has x baseball cards. Enter an expression to represent the number of baseball cards Ben has.

Answer:

y=a -bx^2

-bx^2 = y-a

bx^2 = a-y

x^2 = (a-y)/b

x = + or - sqr[(a-y)/b]

The equation 4(t + 25) = 4(t + 50) - 4(0.15t) can be solved as explained below to determine the value of t, which is t = 166.67.

If we are given the equation, 4(t + 25) = 4(t + 50) - 4(0.15t), to find the value of the variable t, follow the steps explained below.

4(t + 25) = 4(t + 50) - 4(0.15t) [given]

Open the parentheses by applying the distributive property:

4t + 100 = 4t + 200 - 0.6t

Combine like terms:

4t + 100 = 3.4t + 200

4t - 3.4t = -100 + 200

0.6t = 100

Divide both sides by 0.6

0.6t/0.6 = 100/0.6

t = 166.67

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The probability of experiencing only nausea is 0.06.

Using Venn Probabilities, it is found that there is a 0.45 = 45% probability of experiencing neither of the side effects.

What is a Venn probability?

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The "or probability" is given by:

P(N∪D) = P(N) + P(D) - P(N∩D)

In this problem, the probabilities given are:

P(N)= 0.2 , P(D)= 0.45 , P(N∩D) = 0.14

The "at least one" probability is:

P(N∪D) = 0.20 + 0.45 - 0.14 = 0.51

Hence, the "neither" probability is:

1 - P(N∩D) = 1 - 0.51 = 0.49

The probability of experiencing only nausea = P(nausea) - P(both side effects)

                                                                           =0.20 - 0.14

                                                                            =0.06

0.49 = 49% probability of experiencing neither of the side effects.

The probability of experiencing only nausea is 0.06.

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The answer of the function  f(x)=7(3-x)+5 is -7x + 26.

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.

Given the function;

f(x)=7(3-x)+5

To simplify the function:

First, solve parenthesis,

f(x)=21 - 7x +5

Taking, constant with constant term,

f(x) = -7x + 26

Therefore, the answer is  -7x + 26.

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Answer:

Answer:

15 + 3√7

Step-by-step explanation:

perimeter = sum of all sides

since it is a right-angled triangle, hence we can find the 3rd side using Pythagoras theorem:-

hypotenuse = √(12² + 3²)

=> √(144 + 9)

=> √153  = 3√7

perimeter = 12 + 3 + 3√7

15 + 3√7

The volume of a box in the shape of a rectangular prism is y³ +7y² +10y cm³.

What is a rectangular Prism ?

A polyhedron with two congruent and parallel bases is known as a rectangular prism. It's also known as a cuboid.

A rectangular prism has six faces, each of which is in the shape of a rectangle and has twelve edges. It's called a prism because of its cross-section along its length.

It is given that length of the rectangular prism has length of 2 cm more than  the width and 3 cm less than the depth

Let the depth be x cm

and width be y cm

Then the length will be y+2 cm and x-3 cm

y+2 = x- 3

x = y+5

A rectangular prism is a cuboid with six faces

Volume of a rectangular prism can be written as

length * width * depth

= (y+2) *x*y

= (y+2)* (y+5)*y

= (y²+2y)(y+5)

= y³ +5y²+2y²+10y

= y³ +7y² +10y cm³

Therefore the volume of a box in the shape of a rectangular prism is y³ +7y² +10y cm³.

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It is true that qualitative variable categories must be mutually exclusive and exhaustive as a whole.

It has been observed that when two occurrences are mutually exclusive, they cannot take place simultaneously. However, it need not entail that one of the two occurrences must take place. As a result, when two events are exhaustive of one another, one of them is said to occur.

It signifies that two occurrences cannot happen at the same moment if they are mutually exclusive. However, it doesn't entail that one of the two events must take place. If two occurrences are mutually exclusive, then one of them must take place.

The categories (answer possibilities) must, in the first place, be mutually exclusive, which means they cannot overlap. In order to give all alternatives that might make up a response list, survey answer options must be collectively thorough.

For instance, the act of flipping a coin is said to be both mutually exclusive and collectively exhaustive. Either heads or tails must result in this situation. These are variables, then.

Therefore,

It is true that qualitative variable categories must be mutually exclusive and exhaustive as a whole.  

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The length of one piece is equal to 85 inches and the other piece is equal to 107 inches.

The quantity or formula required to change a measurement from one system of units to another is known as a conversion factor. The number is typically presented as a numerical ratio or fraction that can be multiplied.

As from the conversion factor we know that,

1 Feet = 12 Inches

So, 16 Feet = 16 * 12 = 192 inches

Let the length of one piece be x

Then the other piece length will be x + 22

The required equation will be

x + x + 22 = 192

2x = 170

x = 85.

Hence, the length of one piece is equal to 85 inches and the other piece is equal to 107 inches.

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Answer:

The greatest place value of a number is the first non-zero digit on the left in that number.

The value of x and z are [tex]4^\circ, 96^\circ[/tex].

Now from the picture I can say that, [tex]\angleAOB[/tex][tex]\angle AOB[/tex] and [tex]\angleCOD[/tex][tex]\angle COD[/tex] are opposite angles.

We know the measure of the triangle are equal in Pair.

So we have got the equation as -

[tex]10x+44=13x+32[/tex]

⇒[tex]13x-10x=44-32[/tex]

⇒3x=12

⇒x=4.

We have got that the measure of [tex]\angle AOB, \angle COD[/tex] are both [tex]84^\circ[/tex].

Now angles around a point add to [tex]360^\circ[/tex].

So, [tex]\angle AOD[/tex] and [tex]\angle BOC[/tex] are equal since they are pairwaite wisw.

Now, [tex]z+z= 360^\circ - (84^\circ+84^\circ)[/tex]

⇒[tex]2z=192^\circ[/tex]

⇒ [tex]z=96^\circ[/tex],

Hence we have got the value of x and z i.e. 4 and 96.

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The original price is $171.59 and the price during sales is $148.37 then the percent markdown will be 13.53%.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Original selling price = $171.59

Price during sales = $148.37

Then, the percentage markdown will be,

% markdown = (171.59 - 148.37)/171.59 × 100

= 23.22/171.59 × 100

% markdown = 13.53%

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The statement 'The distribution of the sample​ mean, x overbar, will be normally distributed if the sample is obtained from a population that is normally​ distributed, regardless of the sample size.'  is True

In this question we have been given a statement 'The distribution of the sample​ mean, x overbar, will be normally distributed if the sample is obtained from a population that is normally​ distributed, regardless of the sample size.'

We need to state whether the statement is True or False.

We know that the sampling distribution of the sample mean is the probability distribution of all possible values of the random variable x that are computed from a sample of size n.

Also if a random variable X is normally​ distributed, the distribution of the sample​ mean, x overbarx​, is normally distributed.

Therefore, given statement is True.

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Answer: 19 feet

Step-by-step explanation:

The area, 266, divided by the width, 14, equals to 19 feet.

Retain the null because 1.74 is greater than 1.645.

What is z - test statistic?

Any statistical test for which the test statistic's distribution under the null hypothesis can be roughly represented by a normal distribution is known as a Z-test.

Z-tests examine a distribution's mean.

Let X be the average time that prescholars spend on tablets.

X ~ N(μ, α^2)

To test H0: μ = 3 hours Vs H1: μ ≠ 3 hours.

The z - test statistic is obtained as 1.74.

Taking level of significance α = 0.05

Zα/2 = [tex]Z_0_._0_2_5 = 1.96[/tex]

Since the observed z - statistic is 1.74 which is less than Zα/2 = [tex]Z_0_._0_2_5 = 1.96[/tex],

so we retain the null hypothesis.

Hence, retain the null because 1.74 is greater than 1.645.

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Complete question:

Complete question is attached below.

453 cubic units of food is poured to the cylindrical dog feeder of 18 inches tall and has a diameter of 8 inches.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that the cylindrical dog feeder is 18 inches tall and  has a diameter of 8 inches

height is 18 inches

Diameter=8 inches

Radius =4 inches

The feeder is currently half full, how much more food can be poured into the feeder.

We know that volume of a cylinder is V=πr²h

Substitute the values of r and h in the given formula.

V=22/7(4)²×18

=22×16×18/7

=6336/7

=905.142.

As the feeder is currently half full, so let divide the volume by 2.

905.142/2

=452.5

=453

Hence, 453 cubic units more food is need or poured into the feeder.

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Answer:

Step-by-step explanation:

409/5 is 1/8. then 81.8 and then check by multiplying 81.8 by 5 and that equals 409.

For a system with equations y = f(x) and y = g(x), the graph of the system will be just a coordinate plane with the two functions graphed on it.

What is functions graphed?

What Does Graphing Functions Mean? Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) represents the function. As an illustration, the graph below depicts the linear function f(x) = -x+ 2.

From this, we can see that the correct option is the first one:

"On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0)."

Also a graph of the system can be seen at the end of this answer.

Here our system is:

y = 3

x + y = 4

The first one is a horizontal line at y = 3.

The second can be rewritten as:

y =  -x + 4

So this is a line with a negative slope, that passes through the points (0, 4) (when you evaluate in x = 0, you get y = 4) and (4, 0) (when you evaluate in x = 4, you get y = 0)

Then the correct option is the first one:

"On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0)."

The graph can be seen below

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Answer:

Here is answer

Step-by-step explanation:

To find the least common multiple (LCM) of three polynomials, we need to find the smallest polynomial that is divisible by all three of them.

Let's start by factoring each of the given polynomials:

ax² - (a² + ab)x+ a²b = a(x - b)x

bx² - (b² + bc)x+ b²c = b(x - c)x

cx² - (c² + ac)x + c²a = c(x - a)x

The LCM of these three polynomials is the smallest polynomial that is divisible by all three of them. In this case, the smallest such polynomial is (x - a)(x - b)(x - c)x. This is because it is divisible by each of the given polynomials and no smaller polynomial is divisible by all three of them.

Therefore, the LCM of the given polynomials is (x - a)(x - b)(x - c)x.

We can conclude that the mayor's plan for annexation is likely to be supported by the town's residents.

What do you mean by  Annexation?

International law defines annexation as the forcible acquisition of one state's territory by another state, typically after the possession of the region by an occupying military force. In most cases, it is considered to be unlawful.

According to the question,

We have the given data:

A political study took a sample of 1,600 voters in the town and found that 69% of the residents favored annexation.

The conclusion of the hypothesis test is that we reject the null hypothesis that the percentage of residents who favor annexation is 65% or lower. The sample data suggests that 69% of residents favor annexation and the p-value associated with the test statistic is 0.07, which is less than the significance level of 0.05.

This indicates that the data is significantly different from the null hypothesis and that the true percentage of residents who favor annexation is likely greater than 65%.

Therefore, we can conclude that the mayor's plan for annexation is likely to be supported by the town's residents.

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Answer:4

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

First , realize that angle P = 50 °

   Are you familiar with the Law of Sines ?

5/ sin70 = QR / sin 50

QR = 5 sin 50 / sin 70

Answer: $23.40

Step-by-step explanation:

To find out how much Olivia spent on the bracelet, we need to subtract the cost of the sunglasses from the total amount spent. In this case, that would be $39.75 - $16.35 = $<<39.75-16.35=23.40>>23.40. Therefore, Olivia spent $23.40 on the bracelet.

Answer: B

Step-by-step explanation:

A - Nope.

B - Possibility.

C. Nope. (2.23606797)

D. Nope.

When facing questions like this, it can be easier to use the process of elimination.

The proof that AB = CD in the concentric circles is shown below

From the question, we have the following parameters that can be used in our computation:

The concentric circles

This means that the circles have the same center

From the circles, we have the following congruent lines

AC = BD

Subtract BC from both sides of the equation

So, we have the following representation

AC - BC = BD - BC

Evaluate the difference

This gives

AB = CD

Hence, it is true that AB = CD

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Answer:

Hope it will help you...

Slope of the line is .[tex]\frac{-4}{3}[/tex]

Slope of the line perpendicular to the given line is [tex]\frac{3}{4}[/tex]

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. As opposed to the net change in the x coordinate, the net change in the y coordinate is y.

y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

A line's slope is a measurement of how steep it is or the direction it is going in relation to a coordinate system.

where m is the slope and m = y/x

Take notice that tanФ = y/x.

This tanФ is often referred to as the line's slope.

The given equation is of the form [tex]ax+by=c[/tex]

On comparing we can say that a is -8 and b is -6

So using the slope formula [tex]\frac{-A}{B}[/tex] we get slope as [tex]\frac{4}{-3}[/tex]

The perpendicular line slope can be found out by equation [tex]m1.m2=-1[/tex]

Therefore substituting slope from the above as m1 we get m2 = [tex]\frac{3}{4}[/tex]

Slope of the line is .[tex]\frac{-4}{3}[/tex]

Slope of the line perpendicular to the given line is [tex]\frac{3}{4}[/tex]

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Answer:

we find that Santiago needs to deposit $3068.96 every six months in order to reach his goal of $75000 at the end of 8 years.

Step-by-step explanation:

To solve this problem, we can use the formula for compound interest:

FV = PV(1 + r/n)^(nt)

where:

FV is the future value (in this case, the amount Santiago wants to save, $75000)

PV is the present value (the amount Santiago needs to deposit every six months)

r is the annual interest rate (4.8% in this case)

n is the number of times the interest is compounded per year (semi-annually, or 2 times per year in this case)

t is the number of years Santiago is saving for (8 years in this case)

Rearranging the formula to solve for PV, we get:

PV = FV / (1 + r/n)^(nt)

Plugging in the values from the problem, we get:

PV = $75000 / (1 + 0.048/2)^(2*8)

Thus, we find that Santiago needs to deposit $3068.96 every six months in order to reach his goal of $75000 at the end of 8 years.

Answer:

SSS, SAS, ASA, AAS

Step-by-step explanation:

s = sides

a = angle

Answer: starting from 0: 132. starting from 10: 162

Step-by-step explanation: