if the parent function is 3 square root x, describe the translation of the function y=3 square root x-4 +3

The answer is c because t must be less than 2.5 and more than 1.5.

Find this by separating the inequality into:

-90 < -32t - 10

&

-32t - 10 < -58

Simplify and you get 2.5 and 1.5

Graph (C) represents the time for which the velocity of the ball will be between –90 and –58 ft/s option (C) is correct.

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

We have:

The velocity of the ball will be between –90 and –58 ft/s.

Let v be the velocity of the ball:

v lies between -90 and -58

-90 < v < -58

The above expression represents the inequality:

Or

-90 < -32t - 10

t < 2.5

And

-32t - 10 < -58

t > 1.5

The number line will be:

Open the circle on the number 1.5 and open circle at 2.5 and a line was drawn between this point.

Thus, graph (C) represents the time for which the velocity of the ball will be between –90 and –58 ft/s option (C) is correct.

Learn more about the number line here:

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The best way to group these ages into six intervals is from 40-44 to 65-69.

A frequency distribution table gives an idea about the data point or interval and its frequency.

The age of the Presidents given as

57 61 50 54 54 54 56 54 61 54 48 49 42 51 61 57 68 65 50 51 60 52 57 51 52 47 56 62 69 58 49 56 55 55 43 64 57 64 46 55 51 55 46

The smallest number ( age) is 42 and the largest number (age ) is 69

To make 6 intervals in this gap of 27 , each interval should be of length 5

Therefore the intervals will be

40-44

45-49

50-54

55-59

60-64

65-69

This is the best way to group into intervals.

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Final answer:

The best way to group the ages of U.S. Presidents into six intervals for a frequency table is by intervals of five years each, starting at age 42 and ending at age 71, to cover the entire range and maintain equal width for all intervals.

Explanation:

When grouping ages into intervals for a frequency table, it's best to have intervals that are of equal width and cover the entire range of data without overlap. For the ages of U.S. Presidents starting their terms, which range from 42 to 69, we could divide this range into six intervals in a way that makes sense for this data set.

First, find the range by subtracting the youngest age from the oldest: 69 - 42 = 27. Next, divide this range by the number of desired intervals (6), which gives us 4.5. We can round this to 5 to make the intervals more practical. Thus, each age interval will span 5 years. Starting at 42, the six intervals would be: 42-46, 47-51, 52-56, 57-61, 62-66, and 67-71.

This grouping covers all the ages and each interval is of equal width, making it easy to interpret the frequency table.

The answer is 0.5.

To find the answer, understand the place value system in numbers.

The value of the digit in the hundreds place in the number 653,841 is 1/10 the value of the digit in the thousands place in which number.

To find the answer, we need to understand the place value system. In the number 653,841, the digit in the hundreds place is 8, and the digit in the thousands place is 5. Therefore, 1/10 of the digit in the thousands place is 0.5.

So, the answer is 0.5.

Answer:

a1= 30 and r=0.9

Step-by-step explanation:

edge

Answer:

[tex]m\angle AMC = 39\°[/tex] and [tex]m\angle DMC = 39\°[/tex].

Step-by-step explanation:

As you can observe in the image attached, angles AMC and DMC are congruent, because if point C is the incenter of AMD, that means each line the forms such point is a bisector.

Remember that a bisector is a line that equally divides an angle.

So,

[tex]\angle AMC = \angle DMC\\3x+6=8x-49[/tex]

Solving for [tex]x[/tex], we have

[tex]6+49=8x-3x\\5x=55\\x=11[/tex]

Then, we substitute this value in each expression to find the angles.

[tex]\angle AMC = 3x+6 = 3(11)+6=33+6=39[/tex]

[tex]\angle DMC = 8(11)-49=88-49=39[/tex]

Therefore, the measures of those angles are [tex]m\angle AMC = 39\°[/tex] and [tex]m\angle DMC = 39\°[/tex].

Answer:

2

0

two real solutions

Step-by-step explanation:

from edge!!

To find the x-intercepts of the quadratic equation representing the height of a dolphin's jump, we can use the quadratic formula by plugging in the coefficients from the equation y = -16x^2 + 32x - 10. The intercepts indicate the times when the dolphin's height above water is zero feet.

The question involves finding the x-intercepts of a quadratic equation, which represent the points where a parabola crosses the x-axis. In this context, the x-intercepts correspond to the times when the dolphin's height above water is 0 feet. To find the x-intercepts, we can use the quadratic formula:

x = −b ± √(b² − 4ac) / (2a)

For the equation y = −16x² + 32x − 10, the coefficients are a = −16, b = 32, and c = −10. By substituting these values into the quadratic formula, we can calculate the times when the dolphin is at the water level (y=0). Since this is a mathematical problem involving a real-world scenario, it is essential to check that the resulting times make sense within the context. Negative values for time, for example, would not be physically meaningful.

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Answer:

51 customers

Step-by-step explanation:

Jeannie's restaurant served 58 customers on Monday.

Rate of decrement  r =2.5 % = 0.025

Formula : [tex]y=a(1-r)^{n-1}[/tex]

A is the initial amount

r is the rate

n is the no. of days

So, Substitute the values

[tex]y=58(1-0.025)^{n-1}[/tex]

[tex]y=58(0.975)^{n-1}[/tex]

So, explicit rule : [tex]A_n=58(0.975)^{n-1][/tex]

Now to find the no. of customers will be served on the 6th day

Substitute n = 6

[tex]A_6=58(0.975)^{6-1}[/tex]

[tex]A_6=51.1035[/tex]

So, 51 customers will be served on the 6th day

Answer:

D

Step-by-step explanation:

A fourth as much as the product of two thirds and 0.8 is ²/₁₅

Order of Operations in Mathematics follow this following rule :

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

First, we will translate this word problem into a mathematical equation.

The product of two thirds and 0.8

[tex]\frac{2}{3} \times 0.8[/tex]

A fourth as much as the product of two thirds and 0.8

[tex]\frac{1}{4} (\frac{2}{3} \times 0.8)[/tex]

[tex]= \frac{1}{4} (\frac{2}{3} \times \frac{4}{5})[/tex]

[tex]= \frac{1}{4} (\frac{2 \times 4}{3 \times 5})[/tex]

[tex]= \frac{1}{4} (\frac{8}{15})[/tex]

[tex]= \frac{1}{4} \times \frac{8}{15}[/tex]

[tex]= \frac{1 \times 8}{4 \times 15}[/tex]

[tex]= \frac{8}{60}[/tex]

[tex]= \frac{8 \div 4}{60 \div 4}[/tex]

[tex]= \boxed {\frac{2}{15}}[/tex]

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

Answer:

b. 6.93 m.

Step-by-step explanation:

We have been given triangle ABC and we are asked to find the measure of a.

We will use law of sines to solve our given problem.

[tex]\frac{a}{\text{Sin}(A)}=\frac{b}{\text{Sin}(B)}=\frac{c}{\text{Sin}(C)}[/tex], where a, b and c are opposite sides of angle A, B and C respectively.

First of all, we will find the measure of angle B using angle sum property.

[tex]\angle A+\angle B+\angle C=180^{\circ}[/tex]

[tex]30^{\circ}+\angle B+90^{\circ}=180^{\circ}[/tex]

[tex]\angle B+120^{\circ}=180^{\circ}[/tex]

[tex]\angle B=180^{\circ}-120^{\circ}[/tex]

[tex]\angle B=60^{\circ}[/tex]

Upon substituting our given values in law of sines we will get,

[tex]\frac{a}{\text{Sin}(30^{\circ})}=\frac{12}{\text{Sin}(60^{\circ})}[/tex]

[tex]\frac{a}{0.5}=\frac{12}{\frac{\sqrt{3}}{2}}[/tex]

[tex]\frac{a}{0.5}=\frac{2*12}{\sqrt{3}}[/tex]

[tex]\frac{a}{0.5}*0.5=\frac{24}{\sqrt{3}}*0.5[/tex]

[tex]a=\frac{12}{\sqrt{3}}[/tex]

[tex]a=6.9282032302755\approx 6.93[/tex]

Therefore, the value of a is 6.93 meters and option 'b' is the correct choice.

Answer:

900

Step-by-step explanation:

Khan academy

C /4  = π

Took the test myself, this is the answer.

It should be the additional texts per month or D

Answer:

The number of texts he sends per month

Step-by-step explanation:

The function f(m) = 117m + 3 is a linear function, which is in the form f(x) = mx+b.  In this form, m (the number beside our variable) is the slope, or rate of change, and b (the number added or subtracted) is the y-intercept.

In our function, 117 is the number beside the variable, which makes it the slope.  This is the rate of change of this function; it describes how the dependent variable (number of texts) changes for every change in the independent variable (months).  

In other words, it tells how many texts he sends per month.